 47/8.
504
Let r = -303171/130 + 30310/13. Calculate the common denominator of -13/1500 and r.
19500
Let c(b) = -10*b**2 + 9*b + 9. Let t be c(-1). What is the common denominator of ((-6)/40)/((-4)/90) and t/8*(-1188)/(-60)?
8
Let j(r) = r + 48. Let d be -2 - -3*(-6)/(-9). Calculate the least common multiple of 1 - (d - 18/2) and j(-28).
20
Let n be 36/(-18) - -45*10. Let m = 179 - 185. Calculate the common denominator of 11/6 and (-8484)/n*4/m.
24
Let x be (-3)/(-15)*-25 - (-4275)/(-4). Let h = -1067 - x. Let j = -3759383/128 - -29370. Find the common denominator of h and j.
128
What is the common denominator of (-16)/(-6) + 28907/(-14348) and 37/510?
1020
Suppose -5*m - 28 = -l, 3*l - 4*m - 41 = 21. Let v = -165 - 92. Let q = v + 305. Calculate the smallest common multiple of l and q.
144
Let c be ((-41284)/72)/((-4)/(-30)). Let z = -21514/5 - c. What is the common denominator of -93/20 and z?
60
What is the common denominator of 2684/2340 - (-54)/(-90) and 61/39?
117
Suppose q + j = 0, 2*q - 3*j - 8 = 17. Suppose -105*s + 91*s - 14 = 0. What is the lowest common multiple of 27 and q - 3 - 28*(0 + s)?
270
Calculate the least common multiple of 3488 and (-990)/(-88) - (6 + (-23)/4).
38368
Let c = 37479 - 74917/2. What is the common denominator of c and 109/1038?
1038
Let f(c) = c**2 + 7*c - 16. Let i be f(-7). Let z(l) = l**3 + 17*l**2 + 16*l - 3. Let v be z(i). What is the common denominator of 3/v + (-114)/(-60) and -15/8?
40
What is the lowest common multiple of 4*6/4 - (-54 - -51) and 442?
3978
Let g = -3/89764 - 23787163/8886636. Let w = 2689/1584 + g. What is the common denominator of 13/15 and w?
240
Let y(g) = 2*g**3 - g**2 + 4*g - 8. Let r be y(5). Suppose p - 53 = -o, 95*p + r = 100*p - 2*o. Calculate the lowest common multiple of p and 49.
49
Let b be ((7575/(-12))/5)/((-30)/840). What is the common denominator of (1/(-14))/(-7 - b/(-510)) and -17/7?
49
Let x = 63483137/14616 + -34747/8. Calculate the common denominator of x and 82/21.
1827
Find the common denominator of -77/10 and 4 + (2456/11840*-17 - (-2)/(-10)).
1480
Let n = 33 - 25. Suppose -3*x - 22 = -34. Suppose x + 6 = 2*b. What is the smallest common multiple of n and b?
40
Let o be 17/((-3 - -2)/(-16)) + -2. What is the common denominator of -68/9 and 4 + -1 + 0 + 477/o?
90
Let u(t) = 18*t + 14. Suppose -10 - 6 = -8*w. Let r be u(w). Suppose -r = -3*g - 17. Calculate the smallest common multiple of g and 5.
55
Suppose 2*z - 195 = 3*z. Let b = -401/2 - z. Calculate the common denominator of b and (4/64)/(((-495)/(-340))/(-9)).
44
Let k be 210/84*4/2. Suppose r + 2*t - 8 = t, 3*r = -2*t + 26. What is the lowest common multiple of r and 2 + 4 + -7 + k?
20
Let z = -21513 - -5485777/255. What is the common denominator of z and -41/170?
510
Let h(r) = r**3 - 13*r**2 - 12*r + 3. Let l be h(14). Suppose 271 = 10*x + l. Calculate the lowest common multiple of 12 and x.
24
Suppose 0*i = 2*i + 6, -3*t - 4*i = 0. Suppose 12 = -19*f + 924. Calculate the lowest common multiple of (-36)/(-45) - f/(-15) and t.
4
Let g(c) = c**2 + 18*c - 2. Let s be g(-13). Let m = s - -83. Calculate the smallest common multiple of 14 + 1/((-2)/(-4)) and m.
16
Let t = -47619/5 + 29427917/3090. What is the common denominator of 111/2060 and t?
6180
Suppose 2*q = -0*q + 6. Suppose -3 = -3*z, 0 = q*n + 3*z - 2*z - 10. Suppose -4 = y - 4*o, n*y - 20 = -0*o + 4*o. What is the least common multiple of y and 21?
84
Let a(s) = s + 33. Let h be a(-11). Calculate the least common multiple of 65 and (6/6)/(1/h*2).
715
Suppose 53*x + 275*x - 170 = 1142. Let l(s) = s + 4. Let y be l(-7). What is the smallest common multiple of x and 20 + y/(-3) + -1?
20
Let h = 2862 + 136. Calculate the smallest common multiple of 5 and h.
14990
Let n(h) = h**3 + 6*h**2 - 3*h - 12. Let u be n(-6). Suppose -3*c = -u*c + 96. Suppose 9*t - 13 = c. What is the common denominator of 25/26 and t?
26
Let m(f) = -f**2 - 30*f - 74. Calculate the smallest common multiple of 2 - ((-1456)/78 + (-2)/6) and m(-5).
357
Suppose -6*v + 42 = -186. Suppose -k + 3*k = -3*l + 4, 4*l - 2*k + 4 = 0. Suppose 11*b - 86 - 90 = l. Calculate the lowest common multiple of v and b.
304
Let c(r) = r**3 - 5*r**2 - 10*r - 24. Calculate the smallest common multiple of 160/(-6)*30/(-25) and c(7).
32
Calculate the common denominator of 1 + (-24)/4 - 204/(-35) and -1*3 - (-7 - (-3344)/693).
315
Let w = -3421 - -75349/22. What is the common denominator of 48 - (-3906)/(-63) - 2123/(-160) and w?
1760
Let r = -2439006 + 43922411/18. Let c = -1120 + r. Let g = 9320 + -111961/12. Find the common denominator of g and c.
36
Let m = 5815/8 + -723. Calculate the common denominator of m and -9/140.
280
Calculate the least common multiple of (990/(-12))/(66/(-44)) and 2290.
25190
Let o = -9004 - -9032. Let g(f) = 2*f - 5. Let p be g(-3). Let k = 21 + p. Calculate the lowest common multiple of k and o.
140
Let f = 16562 + -99463/6. What is the common denominator of 130/(-28) + (-3 - -1) and f?
42
Let x = -640227/32 + 20005. Let v be 42*2/8*(-172)/36. Let b = v - -66. Calculate the common denominator of b and x.
96
Let r(m) = -20*m**2 - 11*m + 7. Let a be r(-3). Let o = a + 152. What is the lowest common multiple of o and 10?
60
Let f = 9631/12 - 803. Suppose -7*n = -6*n. Let r(o) = -o**3 + 48. Find the common denominator of r(n) and f.
12
Suppose -3*s + 1659 = 3*a, -2*s + 2583*a + 1156 = 2575*a. Calculate the least common multiple of s and 80.
22320
Let m = 9 - 29. Let x be 1/(8/(-8))*(m + 1). Suppose -2*d + 55 - x = 0. Calculate the least common multiple of d and 30.
90
Suppose 5*n + 70 = l - 1, -n - 255 = -3*l. Find the common denominator of 5/18 and (14/12 - 1)*(59 + l).
18
Let v = -52 - -59. Suppose 3*i - 5*h - 11 = v, i = 3*h + 6. Suppose -19 = -3*t + 17. What is the least common multiple of t and i?
12
What is the lowest common multiple of ((-872)/6)/(14/(18 - 186)) and 2?
1744
Suppose 3*v = -2*m + 47, 4*m + 4*v = 86 + 2. Suppose 0 = -m*f + 17*f - 4. What is the common denominator of 179/30 and 2/6*(-5 - (f + -19))?
30
Let p(i) = i**2 + 4*i - 11. Let g be p(2). Suppose y - 42 = -5*q, -2*y = 5*q - q - 66. Calculate the smallest common multiple of (-119)/34*36/(-21)*g and y.
54
Let p(l) = -l**3 - 10*l**2 - 15*l - 28. Let q be p(-9). Suppose -v + 54 = -q*d + 23*d, -3*v = -5*d - 142. Calculate the smallest common multiple of 24 and v.
312
Let b = 12/2213 + -2197629/22130. Let l = 279/5 + b. Calculate the common denominator of l and 1900/(-160) + 2/(9 - 1).
8
Find the common denominator of ((-669456)/41643)/(-16) + (-10 - -9) and 61/5.
23135
Let l be (8 - (-153)/(-18)) + 619/(-2). Calculate the common denominator of 64/3 and (3 - 2)/(270/l).
27
Let m(i) = 2*i**2 - 80*i + 135. Let s be m(33). Let w = -318 - s. Suppose 45 = 5*n - q - q, -2*q + 10 = 0. Calculate the lowest common multiple of w and n.
99
Suppose 29858 = 289*d - 1260816. What is the smallest common multiple of 261 and d?
40194
Let r = -10465 + 219853/21. Let q(p) = -3*p - 7. Let k be q(-3). Find the common denominator of (-537)/99 + 3/(3 - k) and r.
231
Let o = -197 + 214. Calculate the common denominator of (o/44)/(6/(-24)) and 1/11.
11
Let y = -1848 + 1890. What is the lowest common multiple of y and 42?
42
Suppose 87 = 2*j + 5*p - 60, 3*j + 5*p - 233 = 0. Suppose 0 = 5*n - 20, -2*z = 3*z - n - j. Calculate the lowest common multiple of z and 6.
18
Let o = 37381 + -29601. What is the smallest common multiple of 4 and o?
7780
Let b be (-7416)/(-504) + (-4)/(-14). Suppose -21 + 261 = b*y. Calculate the lowest common multiple of 120 and y.
240
Suppose -3*l = l + 3*d - 2819, -2*l + 1406 = -2*d. What is the least common multiple of 352 and l?
704
Let k(f) = -290*f - 2. Let l be k(1). Let d = 11126/11 + -1016. Find the common denominator of ((-21)/140)/((-30)/l) and d.
550
Suppose 83 - 413 = -22*c. What is the smallest common multiple of 267 and c?
1335
Let z be -4 + -4 + (-39767)/(-40) + 1. Let s = z - 987. What is the common denominator of s and -29/60?
120
Calculate the smallest common multiple of 10 and (-1881)/(-15) - (-33)/55.
630
Calculate the smallest common multiple of (5 - -226)/(((-99)/6)/(-11)) and 8.
616
Calculate the common denominator of (-1 + 3)*106/(-8) and (-90)/75*(-29)/4524.
130
Calculate the least