/(-4)*(2 + o/20) and -4/45?
360
Let f = 23 + -17. What is the least common multiple of ((-8)/60*-5)/((-3)/(-9)) - -6 and f?
24
Let d = 23071 - 507601/22. Let s = 1744/5 - 15521/45. Find the common denominator of d and s.
198
Suppose y - 73 = -2*f + 18, 0 = -f - y + 47. What is the least common multiple of 1 + (155/(-1))/(-5) and f?
352
Let c = 312 + -285. What is the lowest common multiple of 174 and c?
1566
Find the common denominator of -52/189 and ((-4)/602)/2*(-538 + 498).
8127
Suppose 5*n = 2*x - 73, 0*x + 4*n = x - 32. Suppose o + 4 = 0, r - 4*o = -o - x. Calculate the common denominator of 3 - (3 + (-46)/r*-1) and 11/16.
112
Suppose -4*b = 2*v - 36, -4*v - 60 + 104 = b. Suppose 11*p + 60 = 15*p. Calculate the smallest common multiple of p and v.
30
Suppose 25*h - 85790 = 10810. Calculate the least common multiple of h and 24.
3864
Calculate the lowest common multiple of 740 and (-56)/(-280) - 5178/(-10).
5180
Let k = -1016 + 1027. Let d = -349/84 + -59/7. Calculate the common denominator of d and 46*(k/(-264))/((-3)/10).
36
Suppose 6 = 9*c - 11*c - 4*u, 10*c + 2*u - 24 = 0. Suppose i = -2*i + 87. Suppose 4*d + i = 125. What is the smallest common multiple of c and d?
24
Let n = 1046 + -1036. What is the least common multiple of 2034 and n?
10170
Let d be 35*((-2)/5 - 0). Let g = 2785 + -50159/18. What is the common denominator of g and d/49 - (-58)/105?
90
What is the common denominator of 2871/132*(-8)/(-1239) and 115/354?
2478
Suppose -15*m = -35 - 55. Suppose -10 - 62 = -m*h. Let p(r) = r**3 + 4*r**2 - r - 2. What is the least common multiple of h and p(-4)?
12
Suppose 0 = -4*f + 18 - 198. What is the common denominator of (-27)/f*(-310)/16 and (-1)/(-22)*-135 - -3?
88
Let b = -3394 - -3441. Suppose -7*r = -2*r - 180. Let p = b - r. Calculate the lowest common multiple of 24 and p.
264
Let o = -359728 + 316560689/880. Find the common denominator of o and -17/11.
880
Suppose -4140 = 70*q - 100*q. What is the lowest common multiple of q and 46?
138
Let t = -4/10359 + -424495/580104. Find the common denominator of (-4148)/1995 + -24*26/17784 and t.
280
Let w = -1328 - -1010. Calculate the common denominator of w/3384 - (-1)/(-6) and 67/8.
376
Let f(y) = y**2 - 13*y + 40. Let s be f(9). Suppose w - 84 = -s*n - 3*w, -6 = 2*w. What is the lowest common multiple of 36 and n?
72
Let n = -4/12651 + 999605/556644. Let c = 39965/36 + -10808/9. Let m = 627/7 + c. What is the common denominator of m and n?
308
Let t(p) = 2*p**3 - 109*p**2 + 57*p + 138. Calculate the lowest common multiple of 110 and t(54).
3300
Let q(n) = -n**3 + 7*n**2 - 5*n - 9. Let a = 32 + -26. Let z be q(a). What is the common denominator of 9/20 and (-535)/40 + (-6)/z?
40
Let i(g) = -37*g**2 - 1188*g - 124. What is the least common multiple of i(-32) and 18/4 + (-2)/4?
4
Suppose 21 = -3*i + 6, 2*c - i = 9. Let w = -2/1925 - 59663/11550. Calculate the common denominator of w and 67/(c*(-4 - 68)).
144
Suppose -2*j = 78*s - 81*s + 516, 528 = 3*s + 2*j. What is the least common multiple of s and 58?
174
Calculate the common denominator of (41/(-2))/(5772/592) and -79/4548.
59124
What is the common denominator of (-268)/(-1260)*18/(-48) and 137/840?
840
Let c(u) = -u**3 + 4*u**2 + 5*u + 4. Let o be ((-18)/(-3) - 0) + -8. What is the smallest common multiple of 4 - (-1 - (1 + 0)) and c(o)?
18
Let k be -4 - (-1 - (-1 + (-428)/1826)). Let s = -27/83 - k. What is the common denominator of -2/7 and s?
77
Suppose -36863 = -55*o + 17*o + 16489. Calculate the lowest common multiple of 51 and o.
23868
Let z(f) = -7*f + 163. Let u(o) = o**3 - 15*o**2 - 3*o + 48. Let v be u(15). Calculate the least common multiple of z(v) and 5.
710
Suppose -t + 1001 = 3*t + 3*x, 0 = 5*t - 4*x - 1259. Let d = -222 + t. Calculate the common denominator of 43/2 and d.
2
Let c(b) = -b**3 + 5*b**2 + b + 3. Let a = -15482 - -15608. Calculate the smallest common multiple of c(5) and a.
504
Let n = 118390 - 18468947/156. Find the common denominator of n and 87/20.
780
Let g(p) = 717*p**3 + 6*p**2 + 6*p - 12. What is the smallest common multiple of g(1) and 12?
2868
Let s be -1 - (1399 - 3)/(-4). Calculate the common denominator of (-132)/(-88)*(-178)/(-12) and s/96*(-4)/(-18).
36
Let t = 3888788/98086725 - 2/39631. Find the common denominator of t and -71/18.
4950
Suppose -5*c + 4*n = -125 - 351, c - n - 94 = 0. What is the smallest common multiple of c and 250?
500
Let a = 21332 - 1642604/77. Find the common denominator of 882/(-20) - (-4)/(-10) and a.
154
Let k(o) = o**2 + 15*o - 23. Let t be k(-19). Suppose n - t = 3*i, -3*n = n - 3*i - 185. Let m = n + -33. Calculate the smallest common multiple of 4 and m.
44
Suppose 0 = -3*o - 6, -14*i - o = -9*i + 8567. Let h = i - -22290/13. Find the common denominator of h and -57/130.
130
Let t be (-7)/2*-6*12/42. Let j(o) = o**3 - 5*o**2 - o - 4. Let b be j(4). Find the common denominator of -16/5 and (-4)/t - (-716)/b.
10
Suppose 2*q - 6 = 30. Let y = 7643 - 7625. Calculate the least common multiple of y and q.
18
Suppose 2*t - 3*t - 5 = 0, 82 = 4*z - 2*t. Suppose -50*c + 49*c + z = 0. Calculate the smallest common multiple of 6 and c.
18
Let v(p) = p**2 - 15*p - 14. Suppose 13 = 2*a - 3*k, -4*a = -6*k + 2*k - 16. Calculate the least common multiple of v(16) and a/4*0 - -12.
12
Let y = 15709/35 + -1214/7. Let i = -273 + y. Find the common denominator of i and 1022/546 + (-2)/(-3).
65
Suppose 92 = 3*f + 5*c, 2*f + 0*f + 2*c - 56 = 0. Suppose -42 + 234 = 19*z - 454. What is the common denominator of 83/4 and (z/8)/(32/f)?
16
Suppose 0*k - 4*t + 28330 = 3*k, 4*k = -3*t + 37764. What is the common denominator of ((k/(-120))/(-13))/1 and 17/4?
20
Let d = 113 - -33. Suppose -o + 0*o = -4, -4*j + 188 = 3*o. Let m = j + -38. Calculate the smallest common multiple of d and m.
438
Find the common denominator of (242/(-171) - (-19)/38) + 1 and -101/180.
3420
Suppose 8*i = 12*i + 1812. Let m = -201137/16 - -12575. Find the common denominator of (4/(-216))/((-3)/i) and m.
432
Calculate the least common multiple of (-109 + 117)*(4 + 1)/1 and 1350.
5400
Let w be ((-817032)/792)/(((-24)/28)/(-6)). Suppose j + j - 36102 = 5*h, -14432 = 2*h - 3*j. Let m = w - h. Calculate the common denominator of m and -97/30.
330
Suppose 4*t - 18 = 3*a - 6, 0 = 2*t - 3*a. Let k(r) = -r**3 - 15*r**2 + 35*r + 39. What is the lowest common multiple of t and k(-17)?
66
Let g = -62 - -158. Calculate the common denominator of (106/14)/(18/21) and g/(-792)*43/4.
66
Suppose 9*t = -3*t - 6336. Find the common denominator of 32/t + (-2861)/(-924) and 107/132.
924
Let i = 22687804127/3480 - 6519484. What is the common denominator of 181/4872 and i?
24360
Let g(k) = -k**2 - 18*k - 13. Let x be g(-17). Let b(i) = -i**2 + i + 17. What is the smallest common multiple of 43 and b(x)?
215
Suppose -4*o + 28 = 3*n, 8*n - 3*n - 28 = -2*o. Suppose -g + 0 = -o. Find the common denominator of 327/48 - 0 - 2/g and -99/2.
16
Let i be 2/10 - (-9380)/350. What is the least common multiple of 11 and 2/(-6) - (-603)/i?
22
What is the common denominator of -4*27/(-18) - (-953)/(-168) and 27/28?
168
Calculate the common denominator of (-34)/(-102)*(-1)/(32/(-138)) and -19/116.
464
Let z(d) = 2*d**3 + 93*d**2 + 127*d - 255. Calculate the smallest common multiple of 1230 and z(-45).
8610
Let y = 71119/759 + -4021/46. Let z = y - -50/11. Find the common denominator of z and 23/3.
6
Let m be 2 + 5 - -15*1/3. What is the common denominator of (-18)/(-225)*111/m and -71/4?
100
Let j = 9452 - -1155. Suppose 0 = -6*c + j - 599. Let m = c - 6713/4. Calculate the common denominator of m and -1.
4
Let n(f) = f**3 - 33*f**2 + 70*f - 192. Calculate the smallest common multiple of 441 and n(31).
3528
Let y(l) = 4*l**3 + 204*l**2 + 3*l + 171. What is the least common multiple of 48 and y(-51)?
144
Let k(w) = -3*w**3 + 8*w**2 - w - 5. Suppose 21 = 5*u + 6. Let f be k(u). Let a = 32 + f. Calculate the least common multiple of 30 and a.
30
Calculate the common denominator of -36/545 and ((-94)/(-280))/(756/882).
13080
Suppose 7*r = -5*r + 18*r - 864. Calculate the lowest common multiple of r and 90.
720
Let r = 24 - 20. Find the common denominator of -143/12 and (r/(-3) - -1)*(-798)/(-156).
156
Let o(c) = -3*c - 1. Let w(v) = 7*v. Let m be w(4