(14). What is the common denominator of 9*(-8)/(-2016)*v and -47/442?
3094
Suppose 2*r - 2*l - 14 = 0, -l - 23 + 24 = r. Calculate the least common multiple of r and 232.
232
Let m = 321245/308 - 1043. Let h = m + 9393/308. What is the common denominator of 55/110*(124/22 + -3) and h?
22
Find the common denominator of (-11 - (1 + -2)) + (-7409651)/(-739518) and 31/1976.
5928
Let m = -13568054411/30 + 452228520. Let y = 39966 + m. Find the common denominator of y and -37/6.
30
Let a be ((-7)/28 - 505/108) + -2. Let n = a - -44/9. Let s = 266/15 - 20. What is the common denominator of n and s?
135
Let v be 1594/(-8)*271/10. Let m = v + 5399. What is the common denominator of -53/35 and m?
280
Let v = 38 + -27. Let n = v + 10. Let c = 22288 - 22264. Calculate the lowest common multiple of n and c.
168
Suppose -110 = -3*v - j + 432, 0 = v + j - 182. Calculate the smallest common multiple of v and 130.
2340
Let a(g) = -6*g**2 - 273*g + 502. What is the lowest common multiple of a(-44) and 28?
12572
Let i = 29 - -25. Find the common denominator of 236/(-80) - 4/10 and (8/((-320)/15))/(i/411).
240
Let p = -21186/7519 - -262/103. Find the common denominator of p and 22/97.
7081
Let w be 112/18 - (-4)/(-18). Suppose -38 = -5*m - 28. What is the smallest common multiple of 1 and (m*(-2)/w)/((-4)/174)?
29
Let u be 5/(2 + 5 + -6). Suppose 2*z + s = 37, -16*s = -u*z - 14*s + 88. What is the lowest common multiple of z and 14?
126
Suppose -2 + 16 = i. Let h(z) = 61*z - 13. Let m be h(2). Let t = m + -107. What is the lowest common multiple of i and t?
14
Let l(o) = o**3 - 10*o**2 + 6*o - 12. Let s be l(10). Suppose s = 6*r - 66. Calculate the lowest common multiple of r and 8.
152
Let t = -1010 + 683. Let r = 380 + t. Calculate the least common multiple of r and 1.
53
Let f(o) = 6*o**2 - 21*o + 9. What is the least common multiple of 63 and f(-4)?
189
Let u = 1835 - 1179. What is the smallest common multiple of 4 and u?
656
What is the common denominator of -56/15 and (-14)/12*(-416)/(-2184)?
45
Let k be (-3 - 56/12)*-36. Let j = -270 + k. What is the lowest common multiple of j and 5?
30
Let d = 17868 - 16944. What is the least common multiple of 20 and d?
4620
Let g = -907861/263 - -3452. Let q = g + 17561/1052. Calculate the common denominator of -83/6 and q.
12
Let x(u) = -26*u + 73. Let v be x(6). Let s = v - -133. Let t = s - 46. Calculate the smallest common multiple of 1 and t.
4
Let k(u) = -4*u**3 + 0*u**2 - 6*u**2 - 6 - u**2 - 6*u + 5*u**2. Suppose -6*y + 31 = 43. Calculate the lowest common multiple of k(y) and 6.
30
Let l(d) be the first derivative of 13*d**3/3 - d - 73. What is the lowest common multiple of 6 and l(-1)?
12
Let n = 278741/682110 - 5/5247. Suppose v + h = 5*h + 2210, h = 2*v - 4420. Let j = v - 22189/10. Calculate the common denominator of j and n.
130
Let m = -246 + 256. Calculate the common denominator of ((-8760)/(-234))/m + -5 and 28/3.
39
Suppose -7*z - 92*n + 91*n + 417 = 0, -2*n + 294 = 5*z. Calculate the least common multiple of z and (-2)/(2 - 0) - -13.
60
Let n = 1781 - 747. Find the common denominator of 97/12 and n/80 + (-24)/90*3.
24
Suppose 0 = 5*f + 13*z - 11*z - 408, 0 = 4*f + 3*z - 325. What is the lowest common multiple of f and 12?
492
Let g = 0 - 24. Let i = g - -44. Suppose -3*n = -28 - i. What is the smallest common multiple of n and 60?
240
Find the common denominator of -5/88 and 7181/(-1892) - (1 - 3).
88
Let z be 1022/4*(45 + -47). Calculate the common denominator of ((-2)/15)/(4/(-303)) and (z/63)/(4 + -5).
90
Let r = -9 + 14. Let v(n) = n**2 - 45. Let u be v(-7). Suppose 5*a = -u*g + 64, -r*g = a - g. Calculate the least common multiple of a and 30.
240
Let x = -37111/18984 + 13/904. Calculate the common denominator of ((-26)/80)/((-6)/(-104)) and x.
420
Find the common denominator of -89/426 and ((-5)/15 - (-511)/(-15))*(-27)/(-108).
2130
Let z(p) = -3*p**2 - p**2 - 16*p - 5*p - p - 5. Let y be z(-5). Find the common denominator of 1 - (237/165 + 1/y) and 3/5.
55
Calculate the lowest common multiple of 36/90*(-10)/(-8)*320 and 864.
4320
Suppose -j = -4*m - 730 + 90, 0 = 4*j + 3*m - 2427. Calculate the smallest common multiple of 748 and j.
6732
Let y(t) be the third derivative of 247*t**4/24 + 5*t**3/6 + 12*t**2. Let r be y(1). Calculate the smallest common multiple of 7 and (8/10)/(r/125 + -2).
350
Let k = 1 - 18. Find the common denominator of k and -18/59.
59
Let o = -980/3 - -15869/48. Find the common denominator of ((-6)/(-4))/((-276)/(-68)) and o.
368
Let c(l) = 38*l + 18. Suppose 15*x - 8*x = 126. Calculate the smallest common multiple of c(0) and x.
18
Let h = 562725 + -6163125/11. Let k = -1272/31528777 + -230257145398559/94334100784. Let t = h + k. Calculate the common denominator of t and 53/14.
1904
Let r(h) = 3*h**3 - 6*h**2 + 2*h + 12. Let i be (3/8*2)/((-15)/(-60)). What is the smallest common multiple of r(i) and 45?
45
Suppose -5*u - 113 = -4*g, -71 = -3*g + 10*u - 9*u. Let i = -4 + g. Suppose -c = -2, 7*k - 3*k - 90 = -3*c. Calculate the smallest common multiple of i and k.
126
Suppose 0 = -5*y + 1 + 14, -u - 11 = -5*y. Find the common denominator of (u + 178/(-48))/(6/18) and 69/434.
1736
Let s = -271 - -276. Suppose 2*k = s*r - 53, 18 = 3*r + k - 16. Calculate the least common multiple of r and ((-8)/(-3))/((-2)/(-6)).
88
Let v = 264503/36 - 7349. Let c = -576929/131 + 4404. Let f = 6821/3668 + c. What is the common denominator of v and f?
252
Let p = 226 + -225. What is the common denominator of -89/84 and (((-213)/9)/p)/(12/(-6))?
84
Let a = -76007/4020 + 1154/67. What is the common denominator of 41/540 and a?
540
Suppose 30 = 3*j - 4*l - 374, -3*j + 2*l + 394 = 0. Suppose -j = -83*y + 75*y. Calculate the least common multiple of y and 48.
48
Suppose 1811*t + 196830 = 1973*t. Calculate the lowest common multiple of 2430 and t.
2430
Suppose 2*r = t - 6, 4 = -4*t - 4*r + 16. Suppose 4*u = t*a - 88, -2*a = -7*a + 3*u + 108. Calculate the smallest common multiple of 39 and a.
273
Let a = -494069 + 533594389/1080. Calculate the common denominator of a and 109/1512.
7560
What is the common denominator of (-16)/(-4) - 21931/4992 and -26/27?
3456
Suppose -3*c + 3*y - 2*y = -9555, -6369 = -2*c + y. What is the common denominator of ((-75)/2)/(c/295) and 79/15?
180
Let y(z) = z**3 - 54*z**2 + 723*z + 90. Calculate the smallest common multiple of y(29) and 64.
64
Calculate the lowest common multiple of 0/((-45)/9) - (-2 + (-1 - 618)) and 54.
1242
Let j = 63204 + -26545703/420. Calculate the common denominator of (4 + 1 - 4)/(12/(-273)) and j.
420
Calculate the common denominator of -51/308 and 3002/2520 + (-32)/20.
2772
Suppose -b - 2 = -2*b. Suppose 6 = -2*l, -b*p + 2*l - l = -9. What is the common denominator of -1*(2*(-62)/28 - p) and 30/11?
77
Let g(i) = 3*i**2 + 15*i - 1494. What is the least common multiple of g(-31) and 55?
4620
Find the common denominator of ((-5973)/(-220))/(38 - -592) and -1/15.
4200
Let q = -313 + 550. Suppose -8*u - 77 = -q. Calculate the least common multiple of u and 150.
300
Let t = -418799/110 - -41958/11. Let g = -1137603 + 59153591/52. Let b = g + 360/13. Calculate the common denominator of t and b.
20
Let n be ((-8268)/(-20))/(2/(-5)). Let y = -30823/30 - n. Let s = -3566509/90 + 39629. Calculate the common denominator of s and y.
90
Let q(b) = b**3 - 13*b**2 - 41*b + 1. Let o be q(16). Suppose -7*v = -4*v + 15, o = 2*y - 3*v. What is the lowest common multiple of 7 and y?
49
Calculate the common denominator of (-188)/12 + 0 + 0 and (-2)/((-4)/6) - (-1 - 2184/288).
12
Let h = 46139/7776 + -185/32. Find the common denominator of h and -55/189.
1701
Suppose -l = -2 - 17. Suppose 0 = -8*i + 6*i + 3*o + l, 2*i + o = 23. What is the lowest common multiple of 24 + (-2)/(-2) + -2 and i?
253
What is the common denominator of (4 - 3/3) + 1771980/(-588336) and -105/22?
77044
Let m(k) = -2*k + 4. Let i be ((-38)/57)/((-1)/(-39)). Let d(q) = 2*q**2 + 49*q - 68. What is the lowest common multiple of d(i) and m(-3)?
10
Suppose q + 3*q = 5*d + 76, 0 = -2*q + 8. Let x = 14597/27 - 541. Find the common denominator of x and (74/(-6) + d/(-18))/3.
27
Let a(d) = 3*d**2 - 3. Suppose -33*w + 29*w = -2*t + 26, -3*w = 12. What is the smallest common multiple of t and a(4)?