Suppose -162 = w*r - 17*r. Calculate the common denominator of 103/12 and (r/3)/3*99/(-220).
60
Let q be 1202852/(-156) + -6 - 4. Let o = q - -7721. Find the common denominator of 23/10 and o.
390
Suppose -z + 167 = 172, -z = -d + 29. What is the smallest common multiple of d and 1134?
4536
Let l be 4/22 - (133162059043885/574242240 + -5). Let x = l + 41275535/178. Let p = x - 1/9024. What is the common denominator of 73/22 and p?
286
Let t = -178525915/616 - -289815. Find the common denominator of t and -31/63.
5544
Let b be -5*(92/20 + -3). Let f(t) = t + 9. What is the least common multiple of f(b) and (-6)/(2 - (-48)/(-18))?
9
Let z = -2388836281/121080 - 2030/3027. Let q = 19728 + z. Calculate the common denominator of q and -17/120.
120
Let v(h) = -h - 4. Let m = -178 + 176. Let j(i) = 5*i**2 + 4*i - 6. Calculate the smallest common multiple of v(-6) and j(m).
6
Suppose 3*k = -c + 70, -2*k = 3*c + c - 30. Suppose 351 = j + 348. What is the smallest common multiple of j and k?
75
Suppose -r - 44*y + 1568 = -49*y, 0 = 5*y - 30. What is the smallest common multiple of r and 306?
14382
Let r(v) = -2*v - 65. Let i(q) = q + 33. Let d(o) = -5*i(o) - 3*r(o). Let h be d(-25). Calculate the common denominator of 67/6 and -186*6/40 - (-2)/h.
6
Let a(x) = 145*x - 705. Calculate the lowest common multiple of a(6) and 55.
165
Suppose 4*k = -g - 4, 24 = 4*g + 2*k - 16. Suppose 0*z - 3*z = -g. Calculate the smallest common multiple of 52 and z.
52
Let h = -169415/39 + 4345. What is the common denominator of (2/117)/(10/(-870)) and h?
39
Suppose -40 = -5*c + 35. Suppose 0 = -4*k + 5*k + 14*k. Suppose 87*m - 110 + 3938 = k. What is the common denominator of c and m?
1
Suppose -4*z + 2*u + 26 = 0, -4*z + 3*z + 4*u + 10 = 0. Find the common denominator of -119/80 and (-1)/(-168)*177 + z + -8.
560
Suppose 5*j + 3015 = 3*f, 2*j - 3*j = 5*f + 575. Let s = j - -6616/11. Calculate the common denominator of s and (56 - -2)*(-3 + 60/21).
77
Let c be ((-16)/10 + 2)/(2/(-192)). Let u = c - -1199/35. Let q = -1/1311 + -35392/6555. Calculate the common denominator of q and u.
35
Let o(w) = 5*w + 21. Let y be o(-4). Suppose -41 + y = -2*a. Suppose -33*u + 34*u - 16 = 0. What is the lowest common multiple of a and u?
80
Let n be (-210)/40 - (-1 - 9/(-12)). Calculate the lowest common multiple of 0 + (-52)/n + 24/(-60) and 193.
1930
Let z(a) = -7*a**2 - 7*a + 80. What is the lowest common multiple of z(0) and 72?
720
Let g = -4580 - -50410/11. Find the common denominator of g and -26/4045.
44495
Let g(q) = 560441*q**2 - 3*q + 8. Let p be g(2). Let r be (-21)/91*p/85428. Let x = r - -2/10283. Find the common denominator of -10 and x.
18
Let k(q) = 2*q**2 + 13*q + 30. Let g be k(-8). Suppose 95*c + g = 97*c. What is the least common multiple of c and 15?
135
What is the least common multiple of 76415/2325 - 4/(-30) and 1107?
12177
Suppose 2*r = -s + 25, -60 = -4*r + s - 5*s. Let k = -95 - -807/8. Find the common denominator of k and (r/(-4) + 2)*-35.
8
Calculate the least common multiple of 2085 and -9 + (-22 + 730 - 4).
2085
Let d(k) = -11*k - 6. Let v be d(-1). Let x be (-15)/10 + v/(-2) + 2. Calculate the lowest common multiple of ((-62)/(-6))/(x/(-6)) and 2.
62
Let v(z) = -z**3 - 6*z**2 + 9*z - 8. Let r be v(-7). Let q = 11293883/90 + -125486. Calculate the common denominator of -2 + (-91)/r + -2 and q.
990
Let c = -2/1900195 + 180520673/2040809430. Calculate the common denominator of -77/18 and c.
3222
Let u be ((-21288)/110 - -1)/((-210)/350). Let g = 1937/6 - u. Find the common denominator of -49/8 and g.
88
Let b(u) = u**2 + 30*u - 6. Let i be b(-20). Let s = -199 - i. What is the smallest common multiple of 11 and s?
77
Suppose -4*x + 8*x = -4*g + 260, 0 = -5*x - 5. Calculate the lowest common multiple of g and 390.
4290
Let i(r) = 36*r - 34. Let t be i(6). Suppose 5*x - 5*n - 330 = 0, 0 = x + 2*x + 5*n - t. Suppose 5*v - 42 = -2. Calculate the least common multiple of x and v.
64
Let r = -3/8687 + 98057/52122. Calculate the common denominator of r and -2/75.
1050
Calculate the common denominator of 57/1612 and (-5)/((-15)/(-4)) - 59424/(-53568).
14508
Let i = -9360/17 - -672815/1224. Let l = -3413381/120 + 28445. Calculate the common denominator of i and l.
360
Let m = -51 + 76. Let i = -7641 + 7642. Calculate the smallest common multiple of m and i.
25
Suppose 80 = -370*x + 373*x - 4*w, 3*x + 2*w = 86. What is the smallest common multiple of 1592 and x?
11144
Let u = 196329/8380 + 51/419. Let n = 4447/180 - u. Find the common denominator of -49/99 and n.
495
Let y(i) = -2*i**3 + i**2 - 6*i + 6. Let l be y(9). Let k be 3543/54*l/10. Let s = k + 9355. What is the common denominator of -5/38 and s?
228
Let o be 39/(-2) - (-3)/(-6). Suppose 0 = -2*t + 52 + 14. Calculate the lowest common multiple of t and 42/6 - o - 6.
231
Let r(p) = 4*p**3 + 118*p**2 + 17*p + 65. What is the least common multiple of r(-29) and 528?
10032
Let f = -23863 + 1312511/55. Find the common denominator of f and 24/35.
385
Let u = -65 - -35. Let n = u - -35. Let p(g) = g**3 + 6*g**2 - 8*g + 4. Calculate the smallest common multiple of p(-7) and n.
55
Suppose -22*w - 5*z + 358 = -20*w, 0 = -6*w + 5*z + 1154. Calculate the smallest common multiple of w and 330.
20790
Let p be 2/(-6) - 46/6. Let m be (p/3)/(5/(-60)). Let r = m + 30. Calculate the lowest common multiple of r and 2.
62
Let q = 154299/77 + -22016/11. Let o = -15007/1918 + -9/274. Find the common denominator of o and q.
7
Let f = -2/1139 + -33011/11390. Let t = -30/19 - 306/95. What is the common denominator of t and f?
10
Let h(f) = 304*f**3 - 4*f**2 - 5*f - 3. Let c be h(-1). Calculate the common denominator of -13/18 and (6 - (-48)/(-9))/((-40)/c).
90
Let w(l) = l**3 - 3*l**2 + 83*l - 546. Let j = 30 + -18. What is the smallest common multiple of j and w(6)?
60
Find the common denominator of 117/730 and 3 - (2 + 216/420).
5110
Suppose -4*j + 5*n + 85 = 0, 2*n = -3*j + 27 + 8. Let p = 143 - j. Calculate the lowest common multiple of 12 and p.
384
Let y be (-84642)/10060*98/2. Let r = y + 4123/10. Let a = r - -2555/34707. Calculate the common denominator of -19/9 and a.
207
Let y = -744316/17 - -43768. Let g = y + 3735/272. Calculate the common denominator of g and 4/(-6) + 4732/17160.
880
Let s(g) = 16*g + 1006. Calculate the smallest common multiple of s(-37) and 23.
414
Calculate the common denominator of (-2)/2 + 52/10 and 504/180 - (-1342)/(-1265).
115
Let n(b) = b**3 + 7*b**2 - 10*b - 73. Let y be n(-7). Find the common denominator of 1/1 + y*3696/10764 and -63/4.
1196
Let k(c) = -c**3 + 18*c**2 + 11*c - 88. What is the least common multiple of 110 and k(18)?
110
Let g = 402 + -1064. What is the common denominator of 39/80 and 6/(-9) + g/60?
80
Suppose -3*s - 6*i - 23 = -2*i, 2*s + 5*i + 27 = 0. Calculate the common denominator of ((-27)/18)/((-152)/(-158) + s) and -41/156.
156
Suppose 2093 = -2*a + r, -6*a + 5*r - 3157 = -3*a. Let z be 8176386/a*(-6)/(-2). Let x = z + 23496. What is the common denominator of x and 37/14?
406
Suppose 6*r + 360 = 10*r. Let n = 108 - r. Calculate the least common multiple of 72 and n.
72
Let v = -30 + 34. Suppose v*m = -m + 22665. Let h = 36185/8 - m. Find the common denominator of h and 19/10.
40
Let f(a) = a**3 + 6*a**2 + 34*a - 71. Calculate the lowest common multiple of f(8) and 11.
12067
Suppose -120 = -2*d - 428*x + 425*x, 5*x = 2*d - 56. Suppose 4*i - 84 = -12. What is the least common multiple of i and d?
144
Let h = 51 + -47. Let u be (3 - h)/((-22)/60). Let t = u + -269/22. Find the common denominator of t and 9/2.
2
Suppose 2*p - 4*a - 356 = 0, 20*p - 23*p = -5*a - 529. What is the smallest common multiple of p and 56?
168
Suppose -367 = -4*f - 3*i, f - 2*i + 4*i = 93. Let m = 95 - f. Let u(d) = -4*d**2 + 17*d + 1. What is the smallest common multiple of 10 and u(m)?
10
Let y(k) = k**3 + 55*k**2 - 143*k + 1952. What is the smallest common multiple of 546 and y(-58)?
6006
Let b be (-5)/((-60)/16)*216/819. Let l = b - 5015/546. Calculate the common denominator of -37/5 and l.
30
Let q be -4 + ((-18)/24 - 13282/24). Let c = 573 + q. Let f = -40781/1686 + 6/281. Find the common denominator of f and c.
6
Suppose -23*j + 68 = w - 27*j, 5*w - 358 = 2*j. Calculate the smallest common m