-140 = -0*w - 5*w. Suppose 150 = -22*n + w*n. Calculate the least common multiple of n and (-1)/3*(-36)/4.
75
Suppose 0 = -5*q + 2*s - 68479, 2*q - 4*s = -3*q - 68483. Let z = 219039/16 + q. Let r = -767037 - -10738421/14. Calculate the common denominator of z and r.
112
Let n(c) = -2*c**2 - 24*c - 1 - 24*c - c**3 + 50*c. Let q be n(3). What is the common denominator of (0 - 2) + 292/q + 0 and 53/10?
10
Let k = 374710/9 + -831553/36. Let j = -5338249/288 + k. What is the common denominator of -47/20 and j?
1440
Suppose -70 = -5*f + 5*d, -55 + 7 = -2*f - 3*d. Suppose -3*s = 5*b - f, 4*s - 14 = 3*b + 10. Calculate the smallest common multiple of 39 and s.
78
Let o = 92111/360 + -1278/5. Let m = o + -17/36. Find the common denominator of m and -25/36.
72
Let d = 393/35 + -1719/140. Find the common denominator of 1035/(-378)*(-4)/50 and d.
420
Let m = -46093/4738 - -852/103. Find the common denominator of m and (30/2 - (-81300)/(-5500))*20.
506
Let f(x) = 98*x**2 - 50*x + 123. What is the least common multiple of 315 and f(3)?
5985
Find the common denominator of -41/186 and (-1066)/(-195)*(-10)/1736.
1302
Suppose 3*y - q - 2*q = 9, -4*y + 6 = 2*q. Suppose 5*i + y*d = -2*d + 194, -2 = -2*d. Calculate the lowest common multiple of ((-4)/10)/((-2)/30) and i.
114
Let l = -2241 + 62635/28. Calculate the common denominator of 0 - 1 - (-516)/136 and l.
476
Suppose 3*y = 5*v - 7, 5*y - 8 = -5*v + 7. Let x be ((-5 - -3) + 3)/(v/34). Find the common denominator of (-412)/34*x/(-68) and 43/10.
170
Let p be ((-66)/(-104))/(9/713). Let k = 2124/53 - 66673/689. Let w = k + p. Find the common denominator of w and 101/2.
12
Let g be (114/(-2229384))/(2/4). Let m = g - -576947/440010. Calculate the common denominator of -131/30 and m.
90
Suppose -23 = 5*j + 4*f, 4*f + 1 = -j + 5*f. What is the least common multiple of 50 and j/(-4) - 1074/(-8)?
1350
Suppose 135 = -34*p - 273. Let x = -1577 - -7921/5. Calculate the common denominator of x and ((-322)/(-28) + p)*(-74)/(-7).
35
Suppose 6231 = 5*b + 3*m, -15*b = -12*b + 2*m - 3740. What is the least common multiple of 2208 and b?
19872
Suppose -5*h + 5*o = -1 - 4, -2*o - 9 = 5*h. Let g = -1/13402 - 73701/134020. Calculate the common denominator of 89/43*h/8 and g.
1720
Suppose 9*h - 997 = 1559. What is the least common multiple of h and (-80)/(-24) + 30/18?
1420
Let n = -2980770 - -23806257/8. Let r = 4998 + n. What is the common denominator of r and -121/48?
48
Suppose 0 = -2*a + 3*a - 2*n - 5, -5*a - 3*n = -12. Let p(r) = r**3 + 20*r**2 - 36*r + 42. Calculate the lowest common multiple of a and p(-21).
357
Let p = -243 + 422. Let d = 188 - p. What is the lowest common multiple of d and 18?
18
Let m(k) = 12*k**2 - k + 8. Let i be m(3). Suppose -4 = 3*c + i. Let o = -34 - c. What is the least common multiple of o and 18?
90
Let v be ((2*2)/2)/(76/(-190)). Calculate the least common multiple of (-10)/v - 52/((-20)/5) and 48.
240
Let l be (-2)/(-8) + 819/84. What is the common denominator of (1/(-8))/(l + (-5790)/580) and -65/6?
12
Let o = 93 - 84. Calculate the lowest common multiple of 28 and 3*(-5 + o)*2.
168
Calculate the common denominator of 2/8 - (11 + (-46849)/4180) and -38/55.
2090
Suppose 2*r + 44 = -2*r - 4*d, -2*r + d - 25 = 0. What is the common denominator of 11/r*(205/(-25) + 4) and -99/166?
1660
Let b be ((-7)/2 + 3)*(-128)/(-16). Let s(m) = 39*m**2 + m. What is the least common multiple of b/88*-11*(1 - -21) and s(-1)?
418
Let i be -7*(-19160)/(-28)*3. Let o = -301835/21 - i. Find the common denominator of 49/135 and o.
945
Suppose 4*z + 12 - 96 = 0. Suppose 6*t + 8 = 4*t, -4*u + 5*t + 944 = 0. Calculate the least common multiple of z and u.
231
Let o(s) = s + 13. Let f(w) = -2*w - 25. Let j(n) = -4*f(n) - 10*o(n). Let v be j(-14). Calculate the common denominator of 77/16 and (-5)/(v - (-8)/52).
48
Let c(q) = 10*q + 24. Let y be c(-4). Let i(z) = z - 24. Let b be i(y). Find the common denominator of (-2)/b*2*47 and 61/3.
30
Let c = -789272833/15936 + 148583/3. Find the common denominator of c and -143/12.
15936
Suppose -10*i - 6 = 14. Let o be 0/(3 + 5)*i/(-4). Suppose j - 47 + 29 = o. Calculate the smallest common multiple of 58 and j.
522
Let w(g) = 4*g**2 + 2*g + 465. Let v be w(0). Let z = v + -435. What is the smallest common multiple of 14 and z?
210
Find the common denominator of 34/(-15) + (16/(-168))/((-5)/35) and (-6)/106*(-208)/(-132).
2915
Suppose -8*y - 34 = -2*m - 6*y, 5*m - 3*y - 75 = 0. Calculate the least common multiple of (18/21)/(2/98) and m.
84
Let m = 4412 - 2018. Let j = -14273/6 + m. Calculate the common denominator of 31/30 and j.
30
Let r(v) = -2*v - 48. Let k be r(-23). What is the common denominator of (-129)/8 - k/(-16) and 39/44?
44
Let o be (-719)/5 - 4/(-5). Let j = o + 148. Let w(v) = v - 3. Calculate the lowest common multiple of w(6) and j.
15
Suppose -34*k + 25 = -43. Suppose -44 = k*a - 13*a. What is the smallest common multiple of a and 138?
276
Let m be 1766/14 - 2 - (-3)/(-21). Let c = 121 - m. Calculate the common denominator of (3 - (-6 + 3))/(4/c) and -32/7.
14
Let s(j) = -2*j**3 + 168*j**2 + 174*j - 280. Calculate the least common multiple of s(85) and 3770.
22620
Let n = -5968290755008 + 4068398790674361689/681669. Let o = n - -2/25247. Find the common denominator of o and 4/22 + (-372)/(-198).
297
Suppose 3*z - 260 = -6*a + 11*a, 3*z + 3*a - 276 = 0. Calculate the smallest common multiple of z and 612.
3060
Let a(c) = 2*c**2 - 4. Let l be a(-4). Let o = l + -22. Let d = -104 - -106. What is the smallest common multiple of o and d?
6
Suppose -21 = 6*h + 147. What is the smallest common multiple of 8 and 12/(-42) + (-792)/h?
56
Find the common denominator of 12/29 and -6 - 798474/(-134937) - 34/(-561).
1363
Let c(p) = -252*p**3 - 2*p**2 - 4*p - 3. Let a be c(-1). Let z = 2360 + -21274/9. What is the common denominator of z and (-1)/(15/a) - (-12)/30?
9
Suppose 0 = -h - 1, 4*b - 32 = b - h. Suppose -3*d - 12 = -m - d, -3*d = 0. What is the smallest common multiple of b and ((-16)/m)/(4/(-15))?
55
Let u = 67 + -67. Suppose z + 34 = j + 12, 2*j - 3*z - 39 = u. Let r(d) = 40*d**3 - 2*d**2 + 1. What is the lowest common multiple of r(1) and j?
351
Let x be (12 - 280899/2370)/(8 - -1). Let n = x - -1/395. Calculate the common denominator of -53/60 and n.
60
Let t be 2 + 26 + (-6)/2. Suppose 44*k - 302 = 50. What is the smallest common multiple of k and (-4)/(-10)*(-5 + t)?
8
Let i be 4/(6 + -3 + -5). Let k = -122539/22 - -5571. Calculate the common denominator of -2*i/(24/69) and k.
22
Suppose -4649 = -87*h - 4127. Suppose 0 = -c + 3. What is the smallest common multiple of h and 317/3 + c/9?
318
Let q(w) = w**3 - w + 21. Let j = -1255 - -1260. Suppose 5*d + 160 = j*c, 5*d + 26 = c + 7*d. What is the lowest common multiple of c and q(0)?
210
Let c = -1/33587 + -1780101/335870. Find the common denominator of 5/696 and c.
3480
Let g be (-1 - 4)*2*(-9)/18. Let i be (3/g)/((-4)/20) + -1. Find the common denominator of 103/30 and (-4 + (-8)/i)/((-14)/(-46)).
210
Let x(t) = -t + 14. Let u be x(4). Suppose -u*j = -2*j - 16. What is the smallest common multiple of j and 21?
42
Let v = -243755/16 - -15235. What is the common denominator of v and 4 + -3 + 131/(-44)?
176
Let b = -187 + 84. Let i = b - -227. Calculate the least common multiple of i and 6.
372
Let q(x) = -x + 4. Suppose 3*v - 30 = 2*a + 6*v, v = 4*a + 46. Suppose 223*z - 234*z + 176 = 0. Calculate the lowest common multiple of q(a) and z.
16
Let w = 22057/12 - 1831. Find the common denominator of -77/18 and w.
36
Let o = -19710 + 21510. What is the smallest common multiple of o and 495?
19800
Suppose -813 = -3*c - 13*c + 19. Calculate the smallest common multiple of c and 390.
780
Let h = 5111/15 - 341. Let b(p) = -p**2 - 3*p + 4. Let u be b(-4). Calculate the common denominator of u - (87/54 + 9 + -13) and h.
90
Suppose 10*z = 5*z + 40. Suppose -4 - 28 = -z*f. Find the common denominator of -29/33 and (f + (-795)/108)*2.
198
Let n = 23395/18 + -1292. Let l = -71909/272088 - -3/7558. Calculate the common denominator of l and n.
72
Let i = 258 + -88. What is the smallest common multiple of ((-51)/119)/((-84)/1568) and i?
680
Let h(v) = -3*v**2 - 8*v - 7. Let u(r) = 4*r**2 + 9*r + 6. Let m(q) = 3*h(q) + 2*u(