7. Let s = a + n. Calculate the common denominator of -45/14 and s.
112
Suppose 0 = 74*l - 1002 + 336. Calculate the smallest common multiple of 24 and l.
72
Let i(t) = -t**3 + 25*t**2 - 12*t - 236. What is the smallest common multiple of 91 and i(23)?
546
Let o(z) = 17*z**2 - 26*z + 52. Calculate the smallest common multiple of 24 and o(8).
5592
Let l = -6228 - -6763. Calculate the smallest common multiple of l and 25.
2675
Let m = 93480 + -93294. Suppose n + n - 24 = 0. What is the least common multiple of n and m?
372
Let y(r) = 2*r**3 + 137*r**2 - 86*r - 1133. Let a(s) = s**2 + s - 8. Let c be a(0). What is the least common multiple of y(-69) and (-60 + 0)*c/20?
120
Suppose -3*t + 2*b = -108, 0*b = 4*b. Let c = 330 + -6871/21. Calculate the common denominator of (2/t)/((-5)/(-650)) and c.
63
Suppose -a + 2 + 1 = 0, 0 = z - 5*a + 464. Let r = 457 + z. What is the lowest common multiple of r and 56?
56
Let i = 178481/16 + -11161. Find the common denominator of i and 25/12.
48
Let l = 107 + -103. What is the common denominator of 109/6 and l/10 + (-5131)/1050 - -4?
150
Let w be (6/144)/(7/646541). Let b = 3846 - w. What is the common denominator of b and 3/2*28/90?
120
Suppose -4*j = 3*k - 311, -247 + 102 = -2*j - 5*k. Suppose 0 = 10*y - 18*y + j. Calculate the smallest common multiple of y and 870.
870
Let h be 2*(-4)/(48/(-1098)). What is the common denominator of (35/(-21) - -2) + 53/h and 89/6?
366
Let p = -1384649/60 + 23077. Calculate the common denominator of p and -89/3540.
3540
Let g(i) = i**3 + 13*i**2 - i - 38. Let k be g(-13). Let q = k + 73. What is the least common multiple of 36 and q?
144
Let y be (-58)/3*3/5. Let p = 776 + -788. Let z = p - y. Find the common denominator of -95/2 and z.
10
Let y(w) = -w**2 - 8*w - 8. Let c be y(-7). Let b be (39/(-26))/(c/(-2)). What is the lowest common multiple of (-2)/(b - 42/(-15)) - 1 and 21?
63
Let j be (-8)/(-64)*(-7688)/(-6). Let u = 161 - j. Calculate the common denominator of -10/11 and u.
66
Let x = 49220 - 13781623/280. Find the common denominator of x and -43/40.
280
Let y = 2442 + -2428. Calculate the lowest common multiple of y and 1116.
7812
Suppose -3*k + 5 = -m - 5, -3*m - 14 = -5*k. Suppose -310 = -k*d + 290. Let o(a) = a + 28. Calculate the least common multiple of o(-12) and d.
1200
Suppose 3*t + 8 = 5*t. What is the common denominator of (-35)/(-30)*((-3)/(-84))/((-3)/276) and (-645)/320*t/(-6)?
96
Suppose 24 + 31 = 11*m. Let q be ((-730)/m)/(824/(-6)). Let l = q + -1/1648. Find the common denominator of l and 91/16.
16
What is the smallest common multiple of 17 and 219 + (15 - 3) + -10?
221
Let l(u) = 26*u + 234. Calculate the smallest common multiple of l(-6) and 806.
2418
Let s(z) = -3*z**2 + 6*z + 4. Let t(q) = q. Let r(w) = -s(w) + 5*t(w). Suppose -5*v - 24*v + 116 = 0. Calculate the lowest common multiple of 32 and r(v).
160
Suppose 3*t = y + 24, 7*y = -3*t + 3*y + 24. Let c be (14/1992)/(t/216). Let v = 7673/1992 + c. What is the common denominator of 73/24 and v?
24
Let l(g) = 4*g**2 - 30*g + 142. Let d(u) = -9*u**2 + 62*u - 285. Let v(b) = 3*d(b) + 7*l(b). What is the smallest common multiple of 18 and v(35)?
4716
Suppose 62*t - 54*t - 2856 = 0. Calculate the lowest common multiple of t and 175.
8925
What is the common denominator of 2/12 - 11319/61380 and -67/2?
620
Suppose 24*v - 6405 = 7707. Calculate the least common multiple of v and 56.
1176
Let b = -21/187 + 70/1683. Calculate the common denominator of -22/3 and b.
99
Let o(r) = r**2 - r - 6. Let u be o(-2). Suppose 5*i + 343 - 863 = u. Calculate the smallest common multiple of i and 3.
312
Let k(q) = -q**3 + 4*q**2 + 1. Let j be k(4). What is the common denominator of 186/792*-15 - j/4 and -29/20?
220
What is the common denominator of -3*(-1)/12 + ((-16)/(-26))/(-4) and 89/140?
1820
Suppose 2*p = 8 + 16. Let x be -2 - (-27)/(-6) - p/8. What is the common denominator of (10/(-2))/20*86/x and -61/162?
1296
Let x(m) = -31*m - 1. What is the least common multiple of (-26543)/(-1254) + 2/(-18)*(-15)/(-10) and x(-1)?
210
Suppose 2314 + 6214 = 13*b. What is the least common multiple of b and 64?
2624
What is the smallest common multiple of -354*(32/240 - 98/60) and 99?
5841
Let y be 435/(-9)*((-3220)/(-75))/(-7). Let h = 27337/90 - y. Let c = -54865/16 - -3432. Find the common denominator of c and h.
80
Let d(q) = -8*q + 17. Let u(x) = -8*x + 17. Let t(h) = 5*d(h) - 4*u(h). Calculate the smallest common multiple of t(1) and 105.
315
Let s be (0 - -1356)/((-15)/2). Let h be 9060/50 - -3 - 1/(-2). Let j = h + s. What is the common denominator of -43/2 and j?
10
Find the common denominator of 0 + (-20)/(-90) + (-1556)/4032 and -109/336.
336
Suppose 5*w - 28 = -j, 3 + 23 = 2*j + 4*w. Suppose 13*b - j*y = 12*b + 135, -2*y - 250 = -2*b. Calculate the least common multiple of 9 and b.
360
Suppose 5*g - 27 = -f, 3*f = -g + 48 - 23. Let m = -7 + 11. Suppose -q + k + 15 = 0, m*q = -k + 82 - 2. What is the smallest common multiple of q and f?
133
Suppose 2*h - 3*h + 3*q - 81 = 0, -3*h + 3*q = 273. What is the lowest common multiple of (h/(-12))/((-4)/(-16)) and 20?
160
Let h(c) = -2*c + 8. Let a be h(6). Let n = -15314 + 15323. Find the common denominator of ((-2)/(-6))/(a/(-274)) and n.
6
Let q = -9304 - -9374. What is the lowest common multiple of 1820 and q?
1820
Let h be 0 + ((-93101)/(-58) - 4). Let j = h + -1601. What is the common denominator of j and -39*5/(-105) - -3?
406
Let c be 1 - -5 - (61 + -55). Suppose 95*b - 122*b + 16146 = c. Calculate the smallest common multiple of b and 2.
598
Let v(j) = -4 + 0 - 5*j - 2 + 1 - j**2. Let d be v(4). Let p = 51 + d. Calculate the least common multiple of p and 5.
10
Let o = 30 + -12. Let z = -683094 - -683099. Calculate the least common multiple of z and o.
90
Suppose 17*u + 3311 = 17846. What is the smallest common multiple of u and 570?
1710
Suppose -23*m = -20*m - 48. Let k = -10 - 14. Let f = k + 42. What is the smallest common multiple of m and f?
144
Suppose 4*o = 5*i + 45, 1 = -i - 0. Let r = -8 + o. Let n = -9185 - -9196. Calculate the lowest common multiple of r and n.
22
Let c = -6937965 + 54587908709/7868. Find the common denominator of c and 15/22.
86548
Suppose 2*k = 147 - 149. Find the common denominator of k/(-18)*(-2 + 353/(-2)) and 97/42.
84
Suppose -v + 16 = v. What is the common denominator of (-66)/(-440)*206/3 and (4/10)/(v/62)?
10
Let j = -19847/20 - -990. Suppose a = 3*y - y + 5, 5*a = 5*y. Calculate the common denominator of ((-660)/(-24) - a) + -2 and j.
20
Let j = -1436593787/1708 - -841097. Calculate the common denominator of j and 55/12.
5124
Suppose -2*d - 25*h + 122 = -23*h, -3*d = 5*h - 189. What is the lowest common multiple of d and 20/9 - 2/9?
58
Let h be 4 + 96/(-18) + (-276)/9. Find the common denominator of 15/22 and (-106)/h*(-2)/(2/1).
176
Find the common denominator of 107/100 and (-4)/(-100)*(-981)/(-72).
200
Let f = 282412/11 - 25715. Let g = f - -22353/550. Calculate the common denominator of 9/10 and g.
50
Suppose -32 + 2 = -9*u + 4*u. Suppose 11 = 2*y - 13. Calculate the smallest common multiple of u and y.
12
What is the common denominator of (0 - 14)*8/(-10) and 15/131?
655
Let h = -142449/12190 - -549/46. Let r = h - 18813/2120. Let u = -36/233 + -16361/4194. Calculate the common denominator of r and u.
72
Let b be ((-8845)/3)/(696/(-4060)). Let f = -17204 + b. What is the common denominator of f and -53/87?
522
Suppose -3*r = q - 40 - 545, 0 = r + q - 195. What is the least common multiple of r and 845?
2535
Let g be (3/2)/((-6)/8). Suppose -2*t = -3*x + 28, 4*x = -2*t + 4 + 24. Calculate the smallest common multiple of 18 and 21/g*(x/12 + -2).
126
Suppose 0*v + 4*v = 100. Suppose 0 = -5*c + 5*h + 25, -3*h + 4*h - v = -2*c. What is the smallest common multiple of c and 10?
10
Find the common denominator of -32/55 and (-12)/(-36)*1253/(-70).
330
Let l(k) = k**2 - 13*k + 31. Let x be l(9). Calculate the least common multiple of 108 and (-4)/2 + 280/(x/(-1)).
108
Let s(m) = m**2 - 19*m + 228. Calculate the least common multiple of 240 and s(-12).
1200
Let m = -27781/265776 - -2/5537. Calculate the common denominator of m and 45/64.
192
Calculate the common denominator of 37/15 and (10 - (-4668)/(-468))/((-72)/435).
4680
