Let y be (-38)/(-13)*(-14)/140. Let c = y + -3371/1365. Calculate the common denominator of 434/132*416/728 and c.
231
Suppose -8*v + 242 + 246 = 480. Suppose -4*l - 10 = -5*l. What is the smallest common multiple of l and v?
10
What is the lowest common multiple of 9 and 330/(-220)*(1 - 181)?
270
Let a = -4 + -60. Let y = a - -60. Find the common denominator of 55/13 and y/(-6) - (159/27 + -2).
117
Suppose -10*t + 82 = 292. Let a(r) = 5*r - 4. Calculate the least common multiple of 2*(24/t)/((-2)/7) and a(4).
16
Suppose 29*i - 122 = 139. What is the least common multiple of i and 141?
423
What is the common denominator of 53/750 and (-7055)/1950 + 0 + 4?
9750
Let d be (37/74)/((-7)/(-8) - 1). What is the common denominator of (-2)/d*(-664)/(-60) and 46/5?
15
Let d = -31 + 33. Suppose 59 = -d*u - 51. What is the common denominator of -95/8 and -2 - -3 - 65/u?
88
Let y(g) be the third derivative of -13*g**4/24 - 4*g**3/3 - g**2. Let m = 123 + -126. What is the lowest common multiple of 6 and y(m)?
186
What is the common denominator of -10*7/(-5040)*376/(-10) and 103/30?
90
What is the common denominator of ((-52)/(-150)*-3)/(28/(-105)*6) and 105/2686?
26860
Suppose 4 = -4*v, -2*y + 4*y = -v + 5. Let z(r) = -12 + y*r**2 + 2*r + 0 - 2*r**2. Calculate the lowest common multiple of z(-12) and 16.
432
Let o(s) = s**3 - 170*s**2 + 489*s + 2015. Suppose -2*f - 2*z = -282, 0*z - 4 = -z. What is the lowest common multiple of o(167) and f?
1507
Let c be 6/(-4) + 1 + (-284)/8. Find the common denominator of 62/(-72) + (-4)/c and (142/23)/2 - 1.
92
Let y = 43 - 53. Let u(p) = p**3 + 11*p**2 + 10*p + 15. Let q be u(y). Calculate the least common multiple of 12 and (-2)/(3 + 1 + -2) + q.
84
Let j = -29955/2 + 15286. Let i = j - 329. Calculate the common denominator of 18 + -17 - 2/6 - (-118)/(-24) and i.
4
Let n be 24/(-32) + (-1)/(36/(-46427)). Suppose 2*a = 4*k - 168 + 5322, -k + 5*a = 1311. Let z = n + k. Calculate the common denominator of 107/10 and z.
90
Let k = -4/6131 - -521199/98096. Suppose -5*f + 113 = -607. What is the common denominator of (1264/f - 0) + (-6)/4 and k?
144
Let b = -4519 + 4567. Calculate the least common multiple of 240 and b.
240
Calculate the common denominator of -57/256 and ((-24)/640*5/36)/(2/604).
768
Suppose 36*u + 4*f = 30*u + 3724, 3*u - 2*f = 1894. What is the smallest common multiple of u and 2504?
2504
Let o = -29707 - -4040093/136. Find the common denominator of o and -13/17.
136
Let w = -4 - -228. Let f = 74588 - 74572. What is the lowest common multiple of f and w?
224
Suppose -16 = -3*w + 2*u, 0 = 26*u - 22*u - 16. Let x = 81 - 35. Calculate the lowest common multiple of w and x.
184
Suppose -1534 = 6*i - 574. Let l = i - -170. Calculate the lowest common multiple of 45 and l.
90
Let y = -346/329 - -1723460/329. Let g = y + -1685787/322. Calculate the common denominator of g and 59/(1 + -2 + 3).
46
Calculate the common denominator of (11 - (-41859)/(-3807))*-39 and -65/3.
141
Suppose 4*v - v + 21 = 0. Let c be v/(175/(-15)) + 96/(-10). Calculate the least common multiple of 14 and 109/4 + (-3)/36*c.
28
Let t be (-150)/(-25) - (-208983)/22. Let x = -47522/5 + t. What is the common denominator of 25/44 and x?
220
Let x = -1597886/91 - -17559. Find the common denominator of ((-8)/(-300)*(-17 - -7))/((-52)/(-230)) and x.
273
Let s(a) = 2*a**2 - 22*a - 2. Suppose 0 = -v + 2*v - 12. What is the lowest common multiple of s(v) and 6?
66
Suppose -6*n = -14*n + 16. Let j be n*(3 - 28)/(-1). Suppose j + 10 = 4*h. Calculate the lowest common multiple of 66 and h.
330
Let n = 1043 - 1028. Suppose 0 = 10*o - 6*o + 16. Let m(r) = -6*r + 6. What is the lowest common multiple of m(o) and n?
30
Let v = 112/3 + -1711/48. Let w = 23913 + -1482531/62. What is the common denominator of v and w?
496
Let g = 208 - 203. Let m(k) = 8*k**2 - 41*k + 6. What is the least common multiple of m(g) and 2?
2
Suppose 328 = 562*n - 398*n. Suppose -5*j + 25 + 65 = 0. What is the smallest common multiple of n and j?
18
Let l be (-4*(-8)/(-40))/((-2)/40). Find the common denominator of 1045/99*l/(-60) and 2 + (-2 - 46/66).
297
Let k = 225777367/8 + -141018687/5. Let c = k + -18432. What is the common denominator of 23/36 and c?
360
Let s = -41253 - -536574/13. Let x = 3517/78 - s. What is the common denominator of x and 65/18?
18
Let s = 49/43674 + 4340155/494972. Let g = s + -261/17. What is the common denominator of g and 364/154 - (-2)/(-1)?
132
Let i = 554 - 484. Let q = i + -54. What is the smallest common multiple of 20 and q?
80
Let o(i) = 5*i**3 - 25*i**2 + 96*i - 6. Calculate the lowest common multiple of 288 and o(3).
576
Let a = -43/563 - 62587/13512. Let b be 0 + (-1 - (-14248)/6180). Let t = 4/103 - b. Find the common denominator of a and t.
120
Let n = -4603 - -4608. Calculate the lowest common multiple of 6 and n.
30
Let u = -12494 - -487268/39. What is the common denominator of u and (-291)/(-126) + -1 + 0?
546
Let m(w) = -13*w + 74. Let t be m(4). Suppose -2*g = -3*k - 36, t*k = 3*g + 25*k - 24. Calculate the least common multiple of 52 and g.
156
Let u(h) be the first derivative of -11*h**2/2 - 2*h - 22. Let p be u(-1). Suppose 264 = 20*n - p*n. Calculate the least common multiple of n and 6.
24
Let n = 33 - 27. Suppose -5*k + k + 3*g = -22, -3*g = n. Calculate the lowest common multiple of k and 88.
88
Let x = 5801443/58 - 95199242/725. Let c = x + 31286. Calculate the common denominator of c and -29/5.
50
Suppose 5*s - 625 = -4*p, -13*s = -10*s + 4*p - 383. What is the common denominator of 12/7 and s/140 - (-1)/((-52)/39)?
35
Suppose -178 = 3*n - 190. Suppose -a = -5*c + 475, -n*c - 4*a = -5*c + 95. Let g = -84 + c. Calculate the least common multiple of g and 5.
55
Find the common denominator of 67/870 and (46557/8120)/(-3) + 86/43.
3480
Suppose 2*m - 4*x - 51 = -9*x, -5*x = 5*m - 105. What is the common denominator of 6/(-20)*2 - (9331/(-30))/(-43) and ((-2)/(-22))/((-3)/m)?
66
Let l(g) = 3*g**2 - 66*g + 123. What is the smallest common multiple of 3120 and l(23)?
12480
Let r(k) = -k**3 - 8*k**2 - 4*k + 39. Suppose 0*z - 9 = z - n, 2*z + 2*n = -10. What is the smallest common multiple of r(z) and 42?
126
Let f(u) = 7*u + 19*u + 16 - 9*u**2 + 8*u**2. Let k be f(16). Let m = -615/4 + k. Calculate the common denominator of m and 7/11.
44
Let a(w) = w**2 + 460*w. What is the smallest common multiple of a(4) and 8?
1856
Let w(l) = l**2 - 7*l - 14. Let s be w(9). Suppose s*m = -2*b + 94, -2*m = m - 2*b - 74. What is the least common multiple of m and 27/(-18)*(-8 - 0)?
24
Suppose -4*c + 0*b + b = -11, 4*c - 16 = -4*b. Calculate the common denominator of c - (329/168 - -4) and -103/54.
216
Let j(f) = -54 - 23*f + 56*f - 17*f + 4*f**2 - 3*f**2. Let u be j(-19). Suppose 2 = u*w - 4, 5 = -v + 4*w. Calculate the smallest common multiple of v and 33.
33
Suppose -8*y = 4*y - 336. Suppose v + 39 = 5*m, 9*m - 4*v = 5*m + y. Suppose -m*d = -45 - 51. What is the lowest common multiple of d and 32?
96
Let d be (482 - 116)*((-4)/3 + 2). Suppose d*b - 200 = 239*b. What is the smallest common multiple of 16 and b?
80
Let p be (-1 + -1)*43*(1 + -5). Suppose -5*k + a = -p, -5*k - 3*a + 124 = -3*k. Calculate the smallest common multiple of k and 48.
816
Let q = 19183/185760 + 3/6880. Calculate the common denominator of q and 29/1080.
1080
Let h(d) = 3*d**2 + 9*d - 10. Suppose -4*u - 8 = -3*u. Let n be h(u). What is the common denominator of -107/20 and 181/n - 6/10?
220
Let u = -80 + 82. Calculate the common denominator of (-21125)/(-2574) - u/(-11) and -77/6.
18
What is the common denominator of 85/116 and (-102)/(-8)*5910/(-86877)?
5684
Let x = 9474/5 + -1886. Let u be 1*4 + (-3)/((-18)/15972). Let a = u - 26693/10. Calculate the common denominator of x and a.
10
Let z = -471 - 143. Let d = -55872/91 - z. Find the common denominator of d and 28/39.
273
Suppose -5*z + 156 = a, 3*a - 2*z = 400 - 0. Let n(t) = 6*t - 140. Calculate the smallest common multiple of n(24) and a.
136
Let r(q) = 257*q - 70. Let v be r(2). Let h = v + -389. Calculate the least common multiple of 55 and h.
55
Let z be 2/7 - ((-2032755)/378 + 3). Let d = z - 21483/4. What is the common denominator of d and -103/28?
252
Suppose 10*k + 43 = -17. Let a be (-21)/k*8 + 7/7. Suppo