nator of -37/98 and d.
196
Let g = 232696 - 101920759/438. Find the common denominator of -28/11 and g.
4818
Let c(i) = 3*i**2 + 5*i - 32. Let x be c(-5). Suppose 5*w - 72 = x. What is the least common multiple of w and 624?
1872
Calculate the common denominator of 3738/(-1440) - 34/(-544) and 44/105.
105
Calculate the common denominator of -45/2416 and (-318)/16*(6/54)/(8/12).
2416
Suppose -8*a + 27 + 13 = 0. Let n(p) = -p**3 + 6*p**2 - 18*p + 97. What is the smallest common multiple of 32 and n(a)?
32
Calculate the common denominator of 45/31 and (-7)/(-77) - 19292/70642.
7657
Suppose i - 8 = 2. Suppose i - 13 = -g. Suppose q - 3*q = 8, g*y + 5*q + 8 = 0. What is the least common multiple of y and 4?
4
Let w = 37482 - 3748241/100. Find the common denominator of w and -37/204.
5100
Suppose -d + 86069 = -9712. Let r = -14750163/154 + d. What is the common denominator of r and -113/6?
462
Let o(t) = 29*t + 4. Let n be o(0). Suppose 4*l - 5*w + 53 = 0, 5*l - 3*w + 45 = -5. What is the smallest common multiple of 9 and l/(-4)*(-3)/((-3)/n)?
63
What is the common denominator of 119/1460 and 1*(-19782)/6570 + 3?
1460
Suppose 35*s + 0*s = 25550. Suppose 25*w - s = 15*w. Calculate the smallest common multiple of 5 and w.
365
What is the common denominator of (19/551)/((-96)/306) and -43/6?
1392
Suppose -5*c = 3*q - 3655, 16 = 5*c + 6. Let u = q - 9739/8. Calculate the common denominator of 4/(-6) - 93/(-288) and u.
32
Suppose -23*k + 11*k = 134676. Let l = -157211/14 - k. Calculate the common denominator of l and -7/116.
812
Let t = 835474/511 + -1635. Calculate the common denominator of 19/219 and t.
1533
Let g(u) = -4*u - 24. Suppose 87 = 6*m - 9. Let n = 7 - m. Calculate the least common multiple of g(n) and 9.
36
Let t(q) = -6*q + 34. Let r be t(8). What is the smallest common multiple of 289 and r/(-18) - 112/(-504)?
289
Suppose 0 = 14*y - 34*y + 12*y + 1440. What is the smallest common multiple of y and 360?
360
Suppose -2*u = 4*g + 2124, 0 = -4*g + u - 3274 + 1162. Let q = 10493/20 + g. Calculate the common denominator of 61/10 and q.
20
Let q = 5 + -10. Let b(y) = -y**3 - 5*y**2 - y - 5. Let a be b(q). Calculate the lowest common multiple of a + 5 - (-1 + 2/(-1)) and 3.
24
Let t(j) = -j**2 + 25*j + 278. Let z = -6 + 5. Let q = z + 7. What is the smallest common multiple of q and t(33)?
42
Find the common denominator of -103/264 and ((-13)/((-351)/1422))/(-22).
264
Let g = 41659013/304937190 + 2/429489. Calculate the common denominator of g and 127/12.
4260
Let q = -16 + 20. Suppose -q*x + 5*x = 3348. Let y = x - 90437/27. Calculate the common denominator of y and 29/9.
27
Suppose -452 = 4*b - 1364. Find the common denominator of b/(-117) + 0 - -1 and -71/18.
234
What is the common denominator of 45/3562 and 465/(-54)*171/570?
21372
What is the common denominator of (37/((-27195)/(-2604)))/(36/14) and 35/60*(-28)/6?
90
Let r = -14041/42 + 2206/7. Let j = -131437 - -790889/6. Let x = j + -375. What is the common denominator of x and r?
6
Suppose 3*i + 5*w = -0*i + 32, -2*w = -4*i + 8. What is the common denominator of 107/54 and (-6*i/(-18))/((-570)/551)?
270
What is the common denominator of 34/81 and (-7 - (-99)/15) + (-328)/(-5520)?
3726
Suppose 3*o + 2*h = 4*h + 7, 4*o + 4*h + 24 = 0. Let v be (-14 + 14)*o/3. Suppose 4*r + 5 = -p - 7, v = r + 4. What is the smallest common multiple of p and 12?
12
Let g be 10 + 217 + (2 - -1). Suppose d - 3*h = 6*d - g, 3*d + 3*h = 138. Find the common denominator of -49/4 and (52/42)/(d/(-69)).
28
Let n(y) = 123*y**2 + 8*y + 39. Suppose 2*a - 2*m = 36, 0 = 5*a - 2*m - 84. Calculate the lowest common multiple of n(-3) and a.
8976
Suppose 0 = 10*v - 5*v - 10, -3*v + 602 = -4*s. Let p = s + 159. Calculate the least common multiple of p and 44.
220
Suppose 2*d - 122 = -3*h, 0 = -6*h + h + 5*d + 245. Calculate the smallest common multiple of h and (-17)/((-204)/(-8))*-66.
44
Let o = -117113/63 + 1859. Find the common denominator of -113/198 and o.
1386
Calculate the lowest common multiple of 2272 and (-442)/(-39) + 3/((-45)/(-10)).
6816
Let g = -1799 - -1834. Calculate the least common multiple of 570 and g.
3990
Suppose 0 = -18*b + 17 + 73. Calculate the common denominator of 41/24 and (-1)/b - (-1899)/2295.
408
Find the common denominator of 77/4 and -1 + (3356/480 - 7)*906/(-8).
160
Let k(x) = x**3 - 13*x**2 - 17*x + 40. Let b be k(14). Calculate the lowest common multiple of 24*(7 + -8 - b) and 3.
24
Let b = 16948229/1239 + -13679. Let j = b + -12801/6608. Let g = -12783/1694 + 92/121. What is the common denominator of j and g?
336
Let i be -1856202*1/(-16)*(-4)/(-20031). Let h = i + 1/20031. What is the common denominator of 90/(-25) - (-1 + -1) and h?
30
Let t(m) = -m - 22. Let a be t(-24). Calculate the common denominator of 23/10 and 9/18*(344/(-20))/a.
10
Suppose 3*p - 2*y = 1, -3*p - y = 2*y + 24. Let k(q) = 11*q + 43. What is the lowest common multiple of k(p) and 169?
1690
Find the common denominator of -89/954 and (-85)/(-510)*(-2 - 154/6).
954
Suppose -4*j = -2*q, -3*j = -4 - 2. Calculate the lowest common multiple of 7/((-23)/(38686/(-203))) and q.
116
Let l = -1525/6 - -5617/22. Calculate the common denominator of -103/484 and l.
1452
Let r be ((-8)/12)/(-1 - (-12)/18). Suppose -r*m + 5*l = 10*l - 39, 4*m - 5*l - 93 = 0. Calculate the smallest common multiple of m and 2.
22
Let q = -113359/6572 - 2/1643. Let d = -110012/3 - -36654. What is the common denominator of d and q?
12
Let s = -6703/47 + 2174285/15416. Let f = 2/41 - s. Let h = 43/4 - -39/4. Find the common denominator of f and h.
8
Suppose 4*x = -4*l - 24, -5*x + 5*l = l + 30. Let t be 4/x - 1248/18. Calculate the common denominator of 44 and (29/(-10))/((-28)/t).
4
Calculate the lowest common multiple of (-8 - (6 - 4)) + 12 + 55 and 54.
1026
Suppose -2*q + 505 = 129. What is the smallest common multiple of q and 14?
1316
Let y(j) = 2*j**3 + 13*j**2 + 13. Let c(x) = -x**3 - 5*x**2 + 14*x + 42. Let p be c(-6). Calculate the least common multiple of 14 and y(p).
98
Calculate the common denominator of 173/240 and ((-259)/1406*-19)/((-338)/18).
40560
Suppose 2*u - 5*l - 69 = 0, -3*l - l + 12 = 0. Calculate the lowest common multiple of -3*((-132)/6 + 4) and u.
378
Let r = -1484 + 1880. Calculate the lowest common multiple of 33 and r.
396
Let h = -91 - -139. Let n(m) = -m**2 - 5*m + 150. Let j be n(10). Let z(k) = -9*k + 20. What is the lowest common multiple of z(j) and h?
240
What is the common denominator of 148466/29887 - (1 + 4) and -17/858?
9438
Let p = -493 - -21693/44. Find the common denominator of ((-122)/(-40) + -3)*(-195)/(-6) and p.
88
Find the common denominator of 22/(-42) + (-70)/(-105) + (-449)/(-140) and (-54)/(-4)*(-3)/8.
80
Let o(u) = u**2 - 61*u + 631. What is the least common multiple of 154 and o(13)?
154
Find the common denominator of (-1631)/882 + (-3)/7 and 808/(-210) + 42/15.
126
Let t be 136/(-10) + (-8)/20. Calculate the common denominator of -127/30 and -9 - 164/t - -1.
210
Suppose 15*l - 24*l = 36*l - 7425. What is the least common multiple of 360 and l?
3960
Let c(g) = g**2 + 10*g - 31. Let d be c(-14). Suppose -93 + d = -17*h. What is the least common multiple of h and 176?
176
Suppose -2*j - 2*j = r - 167, 4*j = -4. Calculate the common denominator of ((-28)/(-6))/(-3*r/(-108)) and 55/12.
228
Suppose 6*m - 2*m - w + 41 = 0, -2 = 3*m + 5*w. What is the lowest common multiple of (-2 + 5)*15 - 27/m and 2?
48
What is the common denominator of ((-2)/3)/(15/117) and (-3648)/(-1890) + 4/(-14)?
45
Let q = -18222/5 + 3651. Calculate the common denominator of 83/36 and q.
180
Let l = 52883/11880 - 179/40. What is the common denominator of -61/594 and l?
594
Let c be (-3)/(-2) + (-35)/2. Let i be (2978/12)/(c/(-48)). Let p = i - 783. What is the common denominator of p and -42/5?
10
Let n = 163 + -160. Calculate the lowest common multiple of 1/(3/(-18))*(-35)/10 and n.
21
Suppose -3*x - 2*x + 3*x - 62 = 0. Find the common denominator of -21/802 and x.
802
Let l(x) = -x**3 + 75*x**2 - 284*x + 30. Calculate the least common multiple of l(71) and 240.
240
Suppose 0 = -r - 3*x - 114, 5*r + x + 560 = -4*x. Let k = -151 - r. Calculate the common denominator of 7/35 - 58/k and 1/28.
140
Let k(i) = -i**3 - 24*i**2 - 33*i