 multiple of z and f.
32
Let z(i) = 8*i + 53. Let l(b) = -5*b + 48. Let o be l(11). Let q be z(o). What is the common denominator of -111/10 and 130/8 + (-3 + q)/(-2)?
20
Find the common denominator of 26 + 5 - 22 - (-1739)/(-189) and 59/315.
945
What is the common denominator of (2/7 - (-20976)/(-20832)) + 2/2 and 13/42?
1302
Let z = -15882 - -16562. What is the smallest common multiple of 30 and z?
2040
What is the common denominator of (-2)/5*19/((-487692)/18445) and -37/345?
2070
Suppose -5*d = a + 2145, 0 = 6*d - 9*d - 5*a - 1265. Find the common denominator of (-1)/(-20)*d/516 and 119/40.
120
Suppose -48 = -4*d + 4*f - 0*f, -44 = -5*d - 3*f. Find the common denominator of 8/d + ((-5405)/350 - -7) and -33/10.
70
Suppose w - 723 - 67 = -2*a, -4*w + 1972 = 5*a. What is the smallest common multiple of a and 12?
396
Suppose 28*v = 18*v. Suppose -130*y + 136*y - 126 = v. Calculate the smallest common multiple of 32 and y.
672
Let s(m) = -m**2 - 16*m - 30. Let j be s(-6). Suppose 28*p - j*p = -q - 17, 4*p = -3*q + 19. What is the lowest common multiple of 23 and p?
161
Suppose -2*v + 338 = -1134. Suppose -221*a - 3*l + 44 = -220*a, 76 = 5*a + 3*l. What is the least common multiple of a and v?
736
Find the common denominator of -17/909 and 43/(-2)*(-16)/5656.
6363
What is the common denominator of (5/350 + 10/50)*46/(-3) and -9/28?
28
Suppose 0 = 2*b - 3*b. Suppose -h = -4*j - 18, -3*h - 3 = h - j. Calculate the smallest common multiple of -10*(h + b/(-5)) and 12.
60
Let q = -18035/36 - -501. What is the common denominator of q and ((-58)/(-3))/(((-320)/(-4))/2)?
180
Suppose -j + 12 = -0*j. Let m be -3 - ((-22)/(-33) - (-69)/(-9)). Suppose 2*r + m*q = 31 - 3, 2 = -3*r + 5*q. Calculate the least common multiple of j and r.
12
Let r be 2*(-21)/(-14) + 1. Suppose 73 = r*w - 23. Calculate the least common multiple of 3 and w.
24
Calculate the common denominator of 1*(-2)/7 - (12099/3297 - 4) and -33/2.
314
Let k = 21319251/1540 + -560795/44. Let o = k - 5472/5. Calculate the common denominator of (-8)/12 + (-807)/126 and o.
14
Let s be (-1)/2 - 14617/(-43992). Let v = -2/13 - s. Find the common denominator of -37/152 and v.
1368
Suppose 35*v - 8531 = 142529. Calculate the smallest common multiple of 3652 and v.
47476
Find the common denominator of (600/(-2016))/(9 + -8) and 71/3.
84
Suppose 0*d - 4*w + 278 = 2*d, -3*d + 5*w + 384 = 0. Suppose -132*x + d*x = -74. What is the common denominator of -13/113 and (x/36)/(5/(-20))?
1017
Let a = -348524767343/156 + 4468227967/2. Let q = 19141 + a. Calculate the common denominator of 125/18 and q.
468
Calculate the least common multiple of 416 and (-8)/1 + 82 + -26.
1248
Suppose 4*o = -5*v + 529, -2*o + 138 = v - 119. Calculate the smallest common multiple of o and 16.
1008
Suppose -45613 - 50987 = -105*l + 12915. Calculate the lowest common multiple of l and 63.
9387
Suppose -4533*v + 528 = -4525*v. What is the lowest common multiple of v and 16?
528
Let h = -6774 + 6796. Calculate the lowest common multiple of 450 and h.
4950
Let u = -12247 - -12467. What is the least common multiple of 136 and u?
7480
Let h = 3 - 22. Find the common denominator of h and 684/(-104) - 152/(-19).
26
Suppose -2*m - 375 + 329 = -u, m = u - 45. Calculate the least common multiple of u and 126.
2772
Suppose -157 = -4*r + 3*k, -2*r + 0*k = 2*k - 96. Suppose -10*o - 37 = r. Find the common denominator of 17/18 and 5/(135/(-38))*(5 + o).
18
Let u(s) = -3*s - 11. Let v be u(-12). Calculate the least common multiple of 12 and 38 - (v/(-6) + (-11)/(-66)).
84
Let i = 110/27 - -34/27. Find the common denominator of (-5)/(-10)*292/(-54) and i.
27
Find the common denominator of (-23 - (-2397)/68)/(((-877)/(-4))/(-1)) and 12/11.
9647
Suppose 286 = p + 412. What is the common denominator of 13/4 and 2 - (-1)/(p/177)?
84
Let o be 9/3*(-20)/(-12). Let h(i) = i**3 - 5*i**2 - 3*i + 12. Let f be h(o). Find the common denominator of 231/90 - 2/5 - f and 46/21.
42
Let d = -29/3925 - 288441/2928050. Find the common denominator of d and -33/14.
5222
Let o be (-125)/(-20)*(-1059)/2. Let r = o + 3300. Let b = 14481/79706 + 1/7246. Calculate the common denominator of r and b.
88
Suppose d + 142 = b + b, -d - 5*b - 163 = 0. Suppose 3*g = -5*a - 315, 2*a - g = -65 - 72. Calculate the common denominator of -37/33 and d/a*4/(-8).
33
Let s(r) = r**3 - 63*r**2 + 242*r - 117. Calculate the smallest common multiple of s(59) and 1.
237
Suppose -5 = 5*x, 3*n + 3*x - 5 = 5*x. Let z be (8/(-8))/(n/(-9)). Calculate the common denominator of (z/120)/((-3)/2) and -109/18.
180
Let u be 3 - (-105)/(-9)*2230/35. Let d = u - -734. What is the common denominator of d and -41/162?
162
Suppose -3*l = 3, 2*q + 2*q - l + 350031 = 0. Let b = -5775655/66 - q. Calculate the common denominator of 4/(-6)*((-2590)/(-160) + -16) and b.
264
Let a = 51555827/10 - 5167476. Let p = a + 11903. What is the common denominator of p and ((-226)/(-3))/(13 + -25)?
90
Suppose -46 = 4*k - 38. Let d = 6687 + -200453/30. Find the common denominator of (-7)/12*985/(-70) + k and d.
120
Suppose 0 = -4*i - z, 0 = i + z + 2*z. Suppose 21*r - 26*r + 5 = i. Calculate the lowest common multiple of 44 and r.
44
Let l(n) = 9*n + 178. What is the lowest common multiple of 12 and l(14)?
912
Let p be 7 + -3 + (-3 - -3). Suppose 0 = -p*n + n - 117. Let k = n - -51. Calculate the least common multiple of k and 9.
36
Suppose -5*m - 37 = -32. What is the common denominator of -34/55 and (m + 111/90)*(-354)/(-84)?
660
Suppose -5*d - 6 = -96. Suppose -2*z + 5*z = d. Suppose z*k - 25 = 95. Calculate the least common multiple of 4 and k.
20
Suppose -7*a + 78 = 8. Suppose 65 = 2*f + m, 2*m - a = -0*m. What is the smallest common multiple of f and 48?
240
Let k = 13375/3 - 4289. Let f = -19391/114 + k. Calculate the common denominator of -89/56 and f.
1064
Suppose -2*h = 2*i - 2428, -2079*i = -2075*i - 5*h - 4829. Calculate the least common multiple of i and 346.
2422
Let l = 6465 - 6421. Calculate the least common multiple of 1573 and l.
6292
Suppose -20*x + 16*x = -24. Suppose 5*k + 4 = -x. What is the smallest common multiple of 8 and ((-7)/k)/((-8)/(-16))?
56
Let m(q) = -q**3 + 30*q**2 + 8*q - 22. Let o be m(30). Let y = o + -216. Suppose -53*k - 4 = -55*k. What is the least common multiple of k and y?
2
Suppose -4*s + 2*w + 4 = 0, 2*w - 14 = 3*s - 8*s. Suppose 12*g = 11*g + 17. Calculate the smallest common multiple of s and g.
34
Calculate the common denominator of 43/3472 and (7566/(-52))/(-2 + -4 - 4458).
20832
Let t be (-140)/(-21) - 2/3. Suppose a + 3 = t. Suppose 5*x = 2*k + k + 23, 4*x - a*k = 16. What is the least common multiple of 31 and x?
217
Let i = 251292286671/100 - 2512886504. Let r = i + -36363. Calculate the common denominator of 133/18 and r.
900
What is the common denominator of (42/(-18328))/((-36)/144) and -3/2?
4582
Suppose 2*k + 0*k - 4*y = 48, 4*k = 2*y + 126. Suppose -4*o + 5*p = 23, 5*o + p = 2*p - k. Calculate the lowest common multiple of -2*(170/o - 22/(-77)) and 8.
48
Let o = 208007/12 + -17324. Find the common denominator of 19/12 and o.
12
Let q(k) = -9*k**3 - 10*k**2 + 65*k - 49. What is the least common multiple of 18 and q(-8)?
20394
Let g = -4298 - -4814. What is the smallest common multiple of 27 and g?
4644
Let f(t) be the third derivative of t**6/120 - t**5/30 + 5*t**3/3 + 3*t**2. Let g be 8/44 - 4/22. What is the least common multiple of 4 and f(g)?
20
Let x = 412 - 3643/9. Find the common denominator of x and 258/36 + (-32)/12 + 4.
18
Calculate the common denominator of 63/6578 and (-3)/(-60) - 8/35*21/6.
13156
Suppose -3590 = 4*k - 518. Calculate the least common multiple of (15/6)/((-330)/(-24)) - 130/(-11) and (-4)/18 - k/54.
84
Suppose 34*x - 755 = -53 - 22. Calculate the least common multiple of 3490 and x.
6980
Let z = -9471 + 142123/15. Calculate the common denominator of -49/6 and z.
30
Let c = 290/103891117 + -3909677476027/54042081241060. Let d = c + 9/124. Let j = d - 17623/16780. Find the common denominator of 95/22 and j.
220
Suppose 3*f - f = -172. Let a be f/(-18) + 2/(-27)*-3. Suppose -a*o - 4*o = -72. What is the least common multiple of o and 7?
56
What is the least common multiple of 8 and ((-2028)/(-7))/(450/3150)?
4056
Let k be 5 - 7 - (1130/5)/(-2