79
What is the common denominator of -111/280 and (-12215)/(-1350) - (-19 - -3 - -25)?
7560
Let w = 56 + -32. Suppose -69*q + 2803 = 246 - 2963. What is the lowest common multiple of w and q?
240
Calculate the common denominator of -7/218 and 16 - ((-5806640)/(-10464))/35.
654
Let u(k) = -k**2 + 16*k + 3. Let j be u(10). Suppose 0 = -14*o + 5*o + j. What is the lowest common multiple of 6 and o?
42
Suppose 75*g = 82*g - 28. What is the least common multiple of 21 and g/(-16) - (-17)/4 - -5?
63
Let v(n) = n**2 + 2*n - 6. Suppose -3*d - 2*x = 17, -d - 2*x = 5 + 2. Let c be v(d). Suppose -14 + c = -5*t. Calculate the lowest common multiple of 9 and t.
9
Let r(h) = 8*h**3 - 3*h**3 - 10*h**3 + 16*h - 9 + 4*h**3 + 5*h**2. What is the least common multiple of 11 and r(7)?
55
What is the common denominator of -19/415 and 213/(-18)*((-258)/60 - -4)?
1660
Suppose 0 = -4*k + 5*b - 663 + 2272, 2*k - 5*b = 797. Calculate the smallest common multiple of 1624 and k.
1624
Let j = 172549 - 74368212/431. Let h = -23812989/3448 + j. Let d = -6916 - h. Find the common denominator of d and -56/9.
72
Let u = 143455 + -143445. Let p = -5 - -15. Calculate the least common multiple of u and p.
10
Let p = -69 + 104. Let g = -28 + p. Calculate the smallest common multiple of (5 + (3 - g))*8 and 82.
328
Let z be -4 - 0/(8/4). Let c(s) = s**2 + s - 4. Suppose -5*l = -8*l + p + 70, -p + 18 = l. What is the least common multiple of l and c(z)?
88
Let s = 245602/557289 + -45/3259. Find the common denominator of 68/9 and s.
171
Let c = 40923/20 - 2047. Find the common denominator of c and (-5424)/(-2944)*48/252.
3220
Suppose 6*a - 136*a = -9100. Calculate the smallest common multiple of a and 13.
910
Let d = -10007 + 10025. What is the lowest common multiple of d and 13556?
122004
Let d = 8/2237 - -5713/1530108. What is the common denominator of -43/18 and d?
684
Let j = -12119/168 + 528/7. Find the common denominator of j and (2782/(-780))/(((-6)/(-5))/(-3)).
24
What is the common denominator of (-2)/(-41) + (-1079078)/(-234520) and -41/3730?
7460
Let o = -309 + -402. Let m = -703 - o. Suppose 120 = 3*t + 2*t. Calculate the least common multiple of m and t.
24
Let q(o) = -3*o + 9 - o - 5. What is the smallest common multiple of q(-5) and ((-10)/4 + (-245)/(-210))*-12?
48
What is the common denominator of (678/(-48))/(-3*(-5)/(-30)*27) and 131/864?
864
Let h = -1773/14 + 132. Let i be 4/(-8) + 82/596. Let n = i - 10661/596. What is the common denominator of n and h?
28
Suppose 0 = -90*y + 92*y - 2. Let v = -17 + 37. Calculate the smallest common multiple of (-17 - (y - 3))*(-12)/18 and v.
20
Let x(y) = -14*y - 45. Suppose -6*j = -13 + 37. Calculate the smallest common multiple of x(j) and 27.
297
Let b(p) = 2*p - 6*p + 7*p - 13 - 4*p**2 - p**3. Let m be b(-5). Calculate the common denominator of -12 and m/(27/(-6)) - 93/9.
3
Suppose c = d + 29, -110 = -4*d + 8*d + 2*c. Calculate the common denominator of (-3)/d*(-284)/24 and -41/49.
392
Let x = 901985/204 - 17689/4. Calculate the common denominator of x and 19/4.
204
Calculate the common denominator of 93/(-45) - (-34)/51 and -71/465.
465
Suppose -3*h + 8*h - 15 = 0. Let u be 33/(-1) - h/3. Let a = 64 + u. What is the least common multiple of a and 2?
30
Let k(j) = -j**3 - j**2 + 3*j. Let l be k(3). Let q = -24 - l. What is the smallest common multiple of 10 + (-3 + q - 0) and 22?
110
Suppose 16*i - 568 - 1320 = 0. Let x = i + -111. What is the smallest common multiple of x and 35?
35
Let s be (272/(-72))/17 - (-1100)/9. Let y = s + -52. Calculate the least common multiple of 210 and y.
210
What is the common denominator of 113/120 and 39/60 + -1 - 0?
120
Suppose -4*p - 3*u - 13 = 47, -5*u = -2*p - 4. Let t(y) = -y**3 - 7*y**2 - 6*y - 8. Let s be t(-6). Calculate the least common multiple of 10 and -20*(p/s - 2).
10
Let u be (-2)/(-3) + 75/9. Suppose -u*q + 5*q - 20 = 0. Calculate the smallest common multiple of 4 - -2 - (q - -5) and 34.
102
Let h = -147087/455 + 1617/5. Find the common denominator of h and (15/(-2))/((-8892)/304).
273
What is the lowest common multiple of ((-864)/504)/(1/(-1309)) and 510?
11220
Suppose -3*f - 4*o + 994 = -132, 720 = 2*f - 5*o. Suppose -20*d - f = -2170. What is the smallest common multiple of d and 80?
720
Let z = -49 + 77. Suppose 10*y + 9 = 11*y. Calculate the least common multiple of (3*(-8)/(-3))/(11 - y) and z.
28
What is the common denominator of 37/42 and 5 + 4 + -12 - (-230)/84?
42
Let n = 41 - 42. Let s be -1*1*(0 + 1). What is the lowest common multiple of 7 and (s + 0 - n) + (-30 - -50)?
140
Let y = 579497/6 - 97123. Let z = y + 538. Calculate the common denominator of -19/25 and z.
150
Let r = -6/105445 - 1496887/7592040. Calculate the common denominator of 89/30 and r.
360
What is the least common multiple of 1*(7 - 11) + 43 + 0 and (-1)/((-14)/(-24))*252/(-108)?
156
Let a be (91 + -1)*(-1930)/(-30). Suppose 0 = 4*n - 0*n - 3*w + 23178, -3*w + a = -n. What is the common denominator of ((-38)/18 + 2)/(120/n) and -62/39?
390
Suppose -41*j = -676 - 144. Calculate the lowest common multiple of 280 and j.
280
Calculate the common denominator of (-9)/(-252) - 22906/371280 and 97/46.
46920
Suppose 4*a - 8*a = -8. Suppose -a*d + 240 = 13*d. Suppose t - 6 = -2*q, -t = q + 1 - 5. What is the least common multiple of d and q?
16
Let b = -6045841/1925 - -34552/11. Calculate the common denominator of -17/140 and b.
700
Let b = 8 - -16. Calculate the smallest common multiple of 38 + -26 + -10 + 4 and b.
24
What is the smallest common multiple of 3320/5 + (-19)/(19/(-2)) and 6?
666
Let r = 2803 + -1951. What is the smallest common multiple of 24 and r?
1704
Let f(x) = x**3 - 20*x**2 - 36*x + 333. Calculate the smallest common multiple of 426 and f(21).
1278
Suppose 160*j = 3718 + 3484 + 6878. Calculate the least common multiple of 154 and j.
616
Let g(t) = t**2 + 19*t + 11. What is the lowest common multiple of 284 and g(0)?
3124
Let u = -5097731/10 + 509784. Calculate the common denominator of u and (-1)/2 + 10/126.
630
Let i = 2916648620/21279 + -137067. Find the common denominator of i and 11/7.
148953
Calculate the common denominator of -65/504 and (-5)/2*(1308/360 + 2/10).
504
Let n = -58190/9 + 5993510/927. Calculate the common denominator of n and -76/3.
309
What is the common denominator of 62/65 and (-133)/(-105)*(162/(-60))/(-3)?
650
Let y = -179/10 + -34/15. Let f = 60 - 62. What is the common denominator of y and (-170)/(-54) - (f + 40/15)?
54
Calculate the common denominator of 9*((-174375)/(-7925) - 22) and 47/4.
1268
Let w = 65 - 52. What is the smallest common multiple of 1*-1 + (102/6 - w) and 111?
111
Let l(f) = 74*f**2 - f. Let h be l(1). Let z = -72 + h. Calculate the common denominator of -40/3 and z/(0 - 99/156).
33
Let f(d) = -4*d - 14. Let i(h) = -h**2 - 12*h + 14. Let l be i(-11). Let k = -30 + l. Calculate the smallest common multiple of f(k) and 2.
6
Let s be 18235*(-8)/86 - 6. Let t = -3405/2 - s. Calculate the common denominator of 107/2*(-4)/40 and t.
860
Suppose 41*k + 46*k = 21054. Calculate the least common multiple of 4 and k.
484
Calculate the least common multiple of ((-3)/(37 - -5))/((-9)/126) and 179.
179
Let i(g) = 0 - 6*g + 3 - 3*g**2 - 19 - 2*g**2. Let j(v) = -6*v**2 - 5*v - 17. Let t(q) = -7*i(q) + 6*j(q). What is the lowest common multiple of 26 and t(12)?
130
Let d = 27089/110 - 2820/11. Let q be ((-610)/14)/(10/30). Let h = 3705/28 + q. Find the common denominator of h and d.
140
Let y(f) = f**2 - 6*f - 10. Let t be y(10). Find the common denominator of -107/54 and (-11 + 214/t)*(-5)/12.
54
Let p be (60/8)/(1 + (-156)/(-8)). Let j = 1897/82 + p. Calculate the common denominator of j and ((-582)/(-15))/((-8)/(-10)).
2
Let y(h) = -16*h - 102. Let q be y(-6). What is the smallest common multiple of 32 and (q/9)/(1/(-240))?
160
Let h = -682379/29886 + -3/4981. Let j = -28418/7 + 8581683/2114. Find the common denominator of j and h.
906
Let x(o) = 6*o**2 + 5*o - 22. Suppose 15*g - 3 - 57 = 0. Calculate the lowest common multiple of 26 and x(g).
1222
Suppose 37*i = 19*i + 378. Suppose -i*m - 29*m = -1800. Calculate the least common multiple of m and 198.
396
Let o = -3369 - -3363. Let g = -17 + 8. Calculate the smallest common multiple of 4 and (1 + 