he common denominator of ((-3 - 2) + (-1333)/(-344))*(-120)/36 and -42/71?
284
Find the common denominator of (-1)/(-12)*(-14 - 1188/(-90)) and (14/(-36))/((-40)/(-15) + -1).
30
Let a(r) be the first derivative of 1/3*r**3 + 10*r + 3*r**2 - 37. What is the smallest common multiple of 228 and a(-4)?
228
Suppose k = c + 1, 2*c - 2420 + 2428 = 5*k. Let v(r) = 2*r - 6. Let o be v(4). Calculate the least common multiple of k and (-18)/(-10) - o/(-10).
2
Suppose -204 - 80 = -26*m + 132. Calculate the smallest common multiple of 2734 and m.
21872
Suppose -4*i - 13 = -2*w + 35, 4*i + 8 = 0. Suppose 43 - 91 = -3*x. What is the lowest common multiple of x and w?
80
Let m be 980/9 - (66/(-54))/11. Suppose 7*r - 315 = 2*r + 2*v, 0 = 5*r - v - 320. Let c = m - r. What is the lowest common multiple of c and 22?
44
Suppose 4*g + 249*g = 884994. Calculate the lowest common multiple of g and 477.
10494
Let g(h) = -h**3 + 10*h**2 + 23*h + 4. Let p be g(-5). Suppose -94*y - p = -106*y. Calculate the least common multiple of 198 and y.
198
Let o be 5/((6/(-4))/(3/(-2))). Suppose -4*i = o*p - 100, -p - 29 = 2*i - 73. What is the least common multiple of (-935)/(-35) - -9 - (-2)/7 and i?
180
Suppose 4*a = -p + 2*a, -3*p + a + 21 = 0. Suppose y = 4*i - 110, -5*i + p*y + 137 = 5*y. What is the least common multiple of i and 150?
1350
Let h = -387 - -363. Calculate the least common multiple of (-79 + 0)*-2 + (-48)/h and 4.
160
Suppose 15*s = 562 + 293. Suppose 48 = -s*z + 69*z. What is the smallest common multiple of z and 12?
12
Let r = -82 + 78. Find the common denominator of -1/8 and r - (2 - (-17)/(-4)).
8
What is the common denominator of (-6384)/(-5880) + (-2)/8 and -157/770?
1540
Let n = 297216694/885 + -2865538912657/8532580. Let v = 2/7231 + n. Calculate the common denominator of 123/200 and v.
600
What is the smallest common multiple of 32 and -11*(-72 + (3 - -1))?
5984
Suppose -3*j = -2*w + 262, 4*j + 320 + 14 = -5*w. Let f = -11944/717 - 2/239. What is the common denominator of f and j/15 + (-94)/235?
15
Let v = 43 - 35. Suppose -19*d + 236 = v. Calculate the lowest common multiple of d and 16.
48
Let k(s) be the first derivative of 2*s**2 - 38*s - 1. Suppose 18*z + 12*z - 325 = -n, 0 = 2*z + 5*n + 3. What is the lowest common multiple of 3 and k(z)?
6
What is the least common multiple of 2040/336 - 10/140 and 1*34*2/4?
102
Let v = -761035/36 - -21143. Find the common denominator of 1/((-32)/(-30)) - (-310)/124 and v.
144
Let r be 6/(-14) - 954/(-21). Calculate the common denominator of 4/(-18) + (-2)/r and (1 + -92)*(30/(-36))/5.
30
Suppose -3*l + 0*d + 2424 = -3*d, 0 = 5*d - 10. Find the common denominator of 3 + (8/(-14))/(l/(-2079)) and -43/33.
165
Let j(n) = 7*n**2 - 2*n - 1. Suppose 19 - 7 = 6*y. Let b = -3 + y. What is the least common multiple of j(b) and 5?
40
Let v be ((-177)/9)/(2/(-6)). Suppose -2*d = -4*x - 11 - v, -3*d = -2*x - 121. Let i = d - 23. What is the lowest common multiple of i and 8?
40
Let q = -1930 + 2122. What is the least common multiple of q and 20?
960
Let m(g) = g**2 + 31*g + 68. Let t be (5 - (5 + 4)) + -25. What is the smallest common multiple of 30 and m(t)?
30
Let l = 403 - 401. Suppose -5*g + 75 = -l*x, -5*g - 3*x - 23 = -98. Calculate the least common multiple of g and 9.
45
Let i = -6603 + 7044. Calculate the lowest common multiple of i and 24.
3528
Let q(g) = 6 - 24 - 6*g**2 - 34 + 6 - 25*g + 7*g**2. Suppose 0*z + 8 = z. What is the least common multiple of z and q(-2)?
8
Let q(k) = 5*k - 186. Let j be q(32). Find the common denominator of -37/20 and 210/(-20)*j/(-120).
40
Suppose -246*d = -249*d + 18. What is the common denominator of d/(-16) + (-44)/(-96) and (3 + 14)*(-5)/2?
12
Let b = -552685/48 - -11515. Find the common denominator of ((-1)/45)/(-2 - 1456/(-730)) and b.
144
Let l = -8739/22 + 394. What is the common denominator of l and -51/860?
9460
Let q be 1608253/(-9570) + 1*2/6. Let f = -1780/11 - q. Calculate the common denominator of f and -117/14.
70
What is the common denominator of 585/6*2/(-6) and ((-200)/30 + -2)/2?
6
Let p be (-4)/12 + 5159/33. Find the common denominator of 23 and 207/(-840) - (p/(-28) + 5).
40
Let q = -15/883 - -59401/14128. What is the common denominator of (-77)/12 - 16/(-8) and q?
48
Let s(d) = d + 53. Let i(u) = -2*u - 105. Let y(t) = 4*i(t) + 9*s(t). Let c = -1055 + 1046. What is the smallest common multiple of y(c) and 8?
48
What is the least common multiple of 247 and (4 + -8)*((-7)/(-4) - 0) + 919?
11856
Let a = -11 - -15. Let j be (-645)/(-75) + (-2)/(-5). Suppose j*q = 157 - 31. Calculate the lowest common multiple of a and q.
28
Suppose -63 = -2*l + 85. Let s be 3/(-8 - 7/(-1)). Calculate the least common multiple of 3/((-90)/(-28) + s) and l.
518
Let q = 67175085/604 + -111217. Let z = 219081/92248 + 1/11531. Calculate the common denominator of z and q.
1208
Calculate the common denominator of 107/636 and 242/(-183) + ((-49)/147)/((-3)/9).
38796
Suppose 4*u - 594 - 634 = -2*q, -5*q + 1240 = 4*u. Calculate the lowest common multiple of u and 40.
2440
Let m be ((-6)/12)/(3*3/(-36)). Suppose -4*d = -6*r + m*r + 24, -3*r + 8 = -d. Suppose -5*g + 16 = -14. Calculate the least common multiple of g and r.
6
Suppose 458*m - 60559 + 2315525 = -1829478. Let x = -1078801/120 - -3887/40. Let b = x - m. Find the common denominator of b and -16/9.
18
Let y = 215006667/772 + -278506. What is the common denominator of -83/3860 and y?
3860
Suppose -29*q - 8133 + 2101 = 0. Let c = q + 272. What is the smallest common multiple of c and 52?
832
Suppose 4*u - 23 + 15 = 0. Calculate the smallest common multiple of (24 - 1) + (-5 - -1) and u.
38
Let c(a) = 2*a**2 - 34*a + 29. Let j be c(17). Suppose -2*w = j - 49. What is the lowest common multiple of 13 and w?
130
Let l = -20158 - -20166. Calculate the least common multiple of 10116 and l.
20232
Let p = 640 + -1949/3. Calculate the common denominator of p and (76 + -5)*(-9)/108.
12
Let n = 86 + -158. Find the common denominator of ((-1)/11)/(11/99) and 0 - 4 - 858/n.
132
Let m(k) = -348*k + 1040. What is the lowest common multiple of 80 and m(-10)?
9040
What is the least common multiple of (-9)/6 + 267/2 and (-3)/7 + 2160/140?
660
Let y = 165 - 168. What is the least common multiple of (-82)/(-8) - 3/12 and 2/(0 + (y - (-39)/12))?
40
Let d(i) = -i**2 + 5*i + 8. Suppose 3*y - 4*y = n - 2, 8 = -2*n. What is the lowest common multiple of d(y) and 46?
46
Suppose -32 = 2*g + 3*c, -8*g - 2*c - 80 = -3*g. Let u = g - -239/20. Calculate the common denominator of 43/14 and u.
140
Let g(u) = -5*u**3 + 228*u**2 + 93*u - 18. Calculate the smallest common multiple of g(46) and 1736.
1736
Let l be (-12)/3 - -3 - -4. Let t(z) = 4*z - 25. Let x be t(7). Calculate the lowest common multiple of 11 and 50/l - x/(-9).
187
Let c = -47905/2958 + 14/493. Calculate the common denominator of c and (-54)/35*(-1113)/9063.
570
Suppose -1164 = 9*z + 1896. What is the common denominator of -7/58 and z/(-88) + -2 + (-15)/(-10)?
638
Let n = 1/133182 + 76979173/3063186. Let r = -3868/207 + n. What is the common denominator of 1*3*28/15 and r?
45
Let a = -158 - -227. Let t be (5 + (-52 - 2))*1. Let j = a + t. Calculate the lowest common multiple of j and 10.
20
Suppose -s - 8*u + 7*u + 2338 = 0, -3*s + 6972 = -11*u. What is the least common multiple of s and 4670?
4670
Suppose 3*u + 3*a - 445 = -2*u, -410 = -5*u + 4*a. Let y = -105/2 + u. Calculate the common denominator of y and -29/11.
22
Let y(p) = 3 - 4*p + 113*p**2 - 24*p**2 + 32*p**2. Calculate the lowest common multiple of 27 and y(1).
1080
Calculate the common denominator of -65/56 and (83/(-15))/((-840)/18).
1400
Suppose 13*z + 8542 = 9556 + 13637. Calculate the smallest common multiple of 5 and z.
5635
Suppose -467 = -5*i - 462. Suppose p - i = -0*p + 5*c, 0 = -2*p + 5*c + 7. Calculate the lowest common multiple of 9 and p.
18
Let z = -2/1287 - 540/143. Find the common denominator of z and 101/1498.
13482
Let n(u) = u**3 - 13*u + 13. Let r be n(-6). What is the least common multiple of ((-10)/(-6))/(r/(-4050)) and 72?
216
Suppose 5875 = 29*w - 5145. Suppose -5*u + w = 2*a, 3*u - 2*a - 176 - 68 = 0. What is the least common multiple of 24 and u?
312
Let d be (-4 - (-7 + 4))*0. Suppose 2*u = 2*z - 26, 0 = -d*u 