+ -1).
21676
Let a = -30 - -44. Let w = -493 + 497. What is the lowest common multiple of w and -2 + (-1 - -2)*a?
12
Let w = 35412400/7472631 + -14/67321. Let k = -50893/11544 + w. What is the common denominator of -1/10 and k?
1560
Let g(q) = 3*q**2 - 79*q - 108. What is the lowest common multiple of 1408 and g(28)?
1408
Let t = -47972488/2355 - -101853/5. Find the common denominator of t and 59/6.
942
Find the common denominator of 83/798 and 1*(-2)/6 + -9*(-6027)/86184.
3192
Suppose 53 = 2*j + 2*j - 5*k, -4*j + 3*k = -43. Suppose 0 = j*t - t + 18. Calculate the common denominator of 61/8 and t/(-15)*18/(-3).
40
What is the smallest common multiple of 1556 and (((-50)/12 - -4)*-9)/((-6)/(-40))?
7780
Suppose 5*w - 14845 = -13*k, -15*k - 8966 = -3*w - 11*k. What is the lowest common multiple of 2982 and w?
2982
Calculate the common denominator of (-610)/(-16)*1546/3865 and (-118)/(-40) + 2*-1.
20
Let r = 781/90 - 637/72. Find the common denominator of -23/1080 and r.
1080
Let v(x) = 3*x - 8. Let u(w) = w**2 + 4. Let c(g) = -g**2 + 6*g - 2. Let m be c(6). Let r be u(m). What is the lowest common multiple of 46 and v(r)?
368
Find the common denominator of -32/1185 and (92/(-132))/((-9)/(-9)).
13035
Suppose 2*i - x = -0*i + 36, -2*i + 4*x + 30 = 0. Let m(y) = -y**3 + 21*y**2 - 34*y - 28. What is the least common multiple of 3 and m(i)?
48
Suppose -4*l + 38 = -3*c, -5*l = 5*c - 41 + 11. Suppose 9*a - l*a - 16 = 0. Let u = 10 + -6. What is the least common multiple of a and u?
16
Let w = 3650 - 2165. Let g = 1016 - w. What is the common denominator of (4/(-14))/(-4 - 1864/g) and -65/6?
6
Let u be (-33)/(-18) + (-12)/(-72). Suppose -5*f = d + 26, 0 = -u*f + 5*f + 5*d - 2. What is the lowest common multiple of 2 and f*1*(15/(-6) - 2)?
54
Let j be ((-10)/(-4))/((-55)/(-484)). Suppose 5*d - 4*d = j. Calculate the least common multiple of 1 and d.
22
Find the common denominator of (-570)/38 - 2645/(-207) and -2 - (-2)/(-51)*-41.
153
Let c = 85/21 - -15/28. Let v = 13/1299 - -48851/7794. Calculate the common denominator of c and v.
36
Let j be (4/1)/(0 - (-1)/(-3)). Let z(v) = -v**3 - 11*v**2 + 11*v - 10. Suppose -3*f - 80 = -19*f. Calculate the least common multiple of f and z(j).
10
Let x be (-771)/6*11*(-6)/9. Let f = x + -1119. Let d = f + 4387/24. What is the common denominator of -68/15 and d?
120
Let v(q) = 4*q**2 - 2*q + 28. Let x be v(7). Let m = 231 - x. What is the least common multiple of m and 7?
21
Suppose 0 = -21*x + 38598 + 22762 - 1048. What is the least common multiple of x and 20?
14360
Let x be (4/4)/(2*2/28). Suppose d = 2*r - 7, -5*d + r - x = 1. Calculate the least common multiple of 10 and ((-7)/14)/((2*d)/20).
10
Calculate the smallest common multiple of -3*(-3)/(-9)*-9 and 1/7 - ((-144)/21 - -1).
18
Let r be (-2534)/12 - 4/(-8). Let u(w) = w + 244. Let d be u(-28). Let n = d + r. Calculate the common denominator of n and 73/33.
33
Let p(b) = b**2 - 16*b - 306. Calculate the smallest common multiple of 828 and p(28).
4140
Let f be 9/(-6)*4670/495. Let y = 778555/55011 + f. Let z = y + -41703/23338. Calculate the common denominator of z and -23/3.
42
Let j be (-631961)/144408 - (-2)/(-8). Let p = 2/1641 + j. What is the common denominator of p and 80/(-20)*13*2/6?
24
Suppose 28*t - 48216 = -259*t. Suppose 2*l + 34 = m, 130 = 3*m + 2*m - 2*l. What is the lowest common multiple of m and t?
168
Find the common denominator of 21/72*(-5754)/(-147) and -145/258.
516
Let l = 34499 - 4139993/120. What is the common denominator of 83/640 and l?
1920
Calculate the smallest common multiple of ((-3)/(30/(-8)))/((-24)/(-900)) and 2/(-4) - 726/(-12).
60
Suppose -188*k - 25451 + 95883 = 96*k. What is the lowest common multiple of 14 and k?
1736
Let y = 92770654/5 + -557298091/30. Let d = y - -22466. Calculate the common denominator of 1/42 and d.
210
Let n(s) = 2*s**3 + 16*s**2 + 511*s + 4187. Calculate the lowest common multiple of n(-8) and (1 - (-59)/7)*7.
198
Find the common denominator of (1206/(-720))/(72/5) and -51/32.
576
Suppose -444 = -5*t + 16. Let z = -610 - -613. What is the smallest common multiple of t and z?
276
Calculate the common denominator of 35/1208 and (819/(-906))/(-21)*(-35)/25.
6040
Suppose 2*b - 3 + 11 = 0. Let r be ((-4334)/b)/(1/(8/(-756))). Let z = 80/7 + r. Find the common denominator of z and -26/5.
135
Suppose 6 = 4*w + 3*c + 7, -2*w - 4*c - 8 = 0. Let q = -340 - -1708/5. Find the common denominator of q and 1162/56 - (w - 7/2).
20
Suppose x = 5*q - 452, 0*q + 2*x = -2*q + 176. Suppose q = 3*o - 3*l, -2*o = 3*l - 14 - 46. What is the common denominator of -21/8 and (-40)/o + 109/(-6)?
8
Let u be 42/10 - (-258)/(-215). Suppose 20*c - u*c = 1700. Calculate the least common multiple of 20 and c.
100
Suppose 2*p - 5*c + 3 = 6*p, -4*c = -3*p - 21. Let m be p - 46395/(-5) - -3. Let u = -139093/15 + m. Find the common denominator of u and -47/21.
105
Let f be 18/(-8) - (-3)/12. Suppose 44 = 2*l - 4*p, 7 = 4*p + 15. What is the least common multiple of 2 + f + 2/1 and l?
18
Suppose 99*p = 83*p - 384. Calculate the common denominator of 61/152 and p.
152
Let a = 27819 - 25128. Calculate the least common multiple of a and 429.
29601
Let x = 9336099413/82600 + -12659041/112. Let g be 2/20 + 34204/11800 + -3. Let b = g - x. What is the common denominator of -97/22 and b?
176
Let d be 6/4*2 + 10. Suppose 5*y - d = -n - 0, -1 = 4*y - 3*n. Calculate the lowest common multiple of y and 18.
18
Let m = -32729 - -32739. What is the smallest common multiple of m and (-1 - 67)*(-2)/4?
170
Let a(r) = -r**3 + 15*r**2 - 25*r - 26. Let s be a(14). Calculate the least common multiple of 22*((-13)/(-10) + 144/s) and 144.
1584
Let s = 13314018/715 + -18621. Let l = s + -20777/10010. What is the common denominator of 12/(-18)*(-531)/(-48) and l?
56
Let s = -80 + 8. Calculate the common denominator of s/(-46)*78/416 and 85/6.
276
Let c = -1754 - -10439/6. What is the common denominator of c and 224/(-3432)*5130/(-1520)?
858
Suppose -41*s = -40*s + 6. What is the common denominator of (-1)/6*73*(-15)/20 and 5/s*286/60?
72
Find the common denominator of 2/1691 and 9 + 16 - 249040/9968.
11837
Suppose 2*q = -3*o + 2834, 1785 + 5339 = 5*q + o. What is the smallest common multiple of q and 31?
1426
Calculate the smallest common multiple of ((-60)/(-25))/(237/395) and 890.
1780
Let b be (-1)/8*-2 + 1884/16. Let x = b + -107. What is the lowest common multiple of x and 6?
66
Let c be 549/6*(-130)/3. Let b = -1681 - -13419/8. Calculate the common denominator of b and c/26*1/(-5).
8
Suppose -3*r - 31 = -25. What is the common denominator of (-62)/(-298)*(7 + r)/20 and -36/11?
6556
Suppose 0 = 4*s - 5*s + 42. Find the common denominator of ((-265)/(-15))/(s/9) and (-1)/3 - (-2220)/1152.
224
Let t = -111/115 - -7875/8602. Calculate the common denominator of t and -37/140.
26180
Let d = -134 - -146. Find the common denominator of -1/40 and 30/(-320) + d/8*-2.
160
Let g = 315160861585/164418 - 703202654/409. Let w = -197505 + g. What is the common denominator of w and 41/12?
804
Let o = 12185 + -670139/55. Find the common denominator of o and -1 - ((-604)/120 - -1).
330
Let l = 28346545/271936 + -174551/607. Let k = l - -1286/7. What is the common denominator of -25/2 and k?
64
Suppose 7*v - 13 = 15. Find the common denominator of -2 - 44/(-20) - (-2)/(-30) and v - (492/9)/(-4).
15
Let z = 10082/3805 + 1/3044. What is the common denominator of z and -33/3125?
12500
Suppose -2*b = -11*b + 27*b - 14652. Calculate the least common multiple of b and 1110.
12210
Calculate the common denominator of 51/388 and (-2)/16 + 6264/27936.
776
Suppose -5*l + 7 + 11 = -3*b, -2*l = 4*b - 2. What is the common denominator of -49/38 and 105/12 + (-2)/(2/b)?
76
What is the common denominator of (-215)/162*3*148/(-2775) and -109/270?
810
What is the least common multiple of 426 and (-3 - 2) + (24 - 16)?
426
Let v be -352*((-6192)/282 + 4). Let i = v + -6322. What is the common denominator of i and -2*1/(11/(-17))?
517
Let r(o) be the third derivative of -13*o**4/12 - 2*o**3 - 2*o**2 - 27*o. Calculate the smallest common multiple of 30 and r(-2).
120
Let k = -11098109/120 - -92484. Let f = 954169/72 + -13251. Calculate the common denominator of k and f.
360
What is the com