
Let f = 2307 - 2295. Calculate the lowest common multiple of 124/6 - 6/9 and f.
60
Suppose -23*v = -22*v - 4. Suppose -7*b - 3*q = -3*b - 120, -5*q - 150 = -5*b. What is the lowest common multiple of b and v?
60
Suppose 36 - 84 = 4*d. Let q = 16 + d. What is the lowest common multiple of 18 and q?
36
Suppose 12*f + 153 = 15*f. Let o = f + -35. What is the smallest common multiple of o and 10?
80
Let l(f) = f + 7. Let s be l(-7). Let h be (-1263)/(-6) + -1 - s. Let w = h + -220. Calculate the common denominator of w and 79/8.
8
Let r(p) = -p**3 - 27*p**2 - 10*p + 82. Calculate the least common multiple of 10 and r(-27).
1760
Let s be 10/2*24/20. Calculate the common denominator of (-1 + 28)*5/(-660)*14 and 25/s*(-63)/(-56).
176
Let o(g) = -g**3 + 12*g**2 - g + 4. Let i be o(12). Let s = -14 - i. Let v = s - -10. Calculate the lowest common multiple of 7 and v.
28
Suppose -4*r - 5 = -17. Suppose 9099 = -3*y + r*w, 0*w = -5*y + w - 15145. Let v = y + 24257/8. What is the common denominator of v and 49/4?
8
Let m be (-2)/((-8)/12) - -1. Suppose -q + 5*l - m = 3*q, 3*q = -2*l + 20. Suppose 0 = -116*j + 112*j + 44. Calculate the lowest common multiple of j and q.
44
Suppose 2 - 7 = -2*n + r, -4*n - 3*r + 5 = 0. Suppose -2*c + 4*d - 6 = 0, 5*c - 15 + 6 = n*d. Calculate the least common multiple of 11 and c.
33
Suppose 24 = -3*t - 2*d, -5*d + 9 = -5*t + t. Find the common denominator of t/15 - (-514)/160 and 79/12.
48
Suppose 123 = -y - 111. What is the common denominator of ((-1)/12)/(6/(-8)) and (y/(-91))/((-5)/(-14))?
45
Let k = -69745/14 + 4975. What is the common denominator of k and -114*((-6)/60)/(4/10)?
14
Calculate the smallest common multiple of (22/(-6) - 86/(-129)) + 8 and 240.
240
Let l = 2/21793 - 1547411/1176822. What is the common denominator of 33/8 and l?
216
Suppose -836*j + 402*j = -406*j - 112. Suppose 0 = 3*k + 2*k + 110. Let m = -11 - k. What is the least common multiple of j and m?
44
Let r = -9029488 + 108268649/12. Let b = r + 7093. Find the common denominator of b and 77/4.
12
Calculate the lowest common multiple of 168 and (-144)/(-96) - 305/(-2).
1848
Let a = 13177/2570 - 7/257. Find the common denominator of 74/105 and a.
210
Let j = 112/31 - -657/496. Calculate the common denominator of 97/120 and j.
240
Suppose 74*y - 71*y - 4560 = 0. Calculate the common denominator of y/(-384)*(-1)/5 and -71/12.
24
Find the common denominator of 915/(-50) - (-9 - -2) and -21/58.
290
Let p be (3 - 6/3) + -38 - -2. Calculate the lowest common multiple of 8 - (-7)/(p/(-20)) and 3.
12
Suppose l = -3*j + 5 + 1, 2*l - 1 = 5*j. What is the common denominator of (-140)/(-18) + (1 + -4)*j and ((-1)/(-9) - 0)*-43?
9
Let s = 411463/2 + -1550286/7. Let b = s - -15745. Let w = 7/13 - 19/156. Calculate the common denominator of w and b.
84
What is the common denominator of ((-2910)/200)/((-3)/(-2)) and -25/222?
1110
Suppose -518 = -4*j - 182. Suppose 0 = -3*p + 6 + j. Calculate the common denominator of 55/8 and (-142)/10*p/84.
56
Let y = -22 - -24. What is the common denominator of (-102)/(-40) - 3/y and 133/6?
60
Suppose -4*n + 210 = 3*n. What is the common denominator of 65/4 and (-201)/26*(-10)/n?
52
What is the common denominator of 1/6 and 2 + (-242)/42 - 2/7?
42
Let b(f) = -f**2 + f. Let m(a) = -5*a - a**2 + 0 + 5*a**2 + 4. Let q(h) = 3*b(h) + m(h). What is the smallest common multiple of 10 and q(4)?
60
Suppose 1 = u - 2. Let d(a) = -2*a**2 - 7*a + 5. Let v(w) = -10*w**2 - 34*w + 26. Let m(r) = 14*d(r) - 3*v(r). What is the least common multiple of u and m(-4)?
24
Let d(v) = -2*v + 2. Let h(y) = -y**2. Let g be h(1). Calculate the smallest common multiple of 20 and d(g).
20
What is the common denominator of 1918/696 + 6*40/(-96) and -85/12?
348
Suppose 3*k = 67 + 5. Let u(f) = 576*f + 2319. What is the lowest common multiple of u(-4) and k?
120
Let i = 907/2 - 438. Let u = 5 - 0. Find the common denominator of i and (1/8)/(u/46).
20
Calculate the common denominator of (-245)/(-12) + (-185)/(-222) and -1 + -1 + 23/12.
12
Suppose 2*q - 4*n = q + 12, 5*n = -20. Let k be (-4)/(-8) + (-130)/q. Let h = 55 - k. What is the lowest common multiple of h and 2?
22
Suppose -3*b + 9*b - 18 = 0. Calculate the common denominator of (-2)/b - (-556)/168 and 45/14.
14
Let c(j) = j**2 + 2*j + 1. Let i be c(-1). Suppose -3*y + y + 14 = i. Suppose -115*s + 684 = 2*s - 369. Calculate the least common multiple of s and y.
63
Let l = 1297/2 + -628. Calculate the common denominator of -143/18 and l.
18
Suppose -b = -2*b + 4*o - 167, 720 = -4*b + 3*o. Let x = -103 + b. Find the common denominator of -83/18 and 1183/x + 0/(-2).
198
Let k = 493 - 4462/9. What is the common denominator of k and 8/7?
63
Suppose -3*n - 5 = 4. Let q be -862 - (-3 - (n + -2)). Find the common denominator of (-18)/(-30) + q/165 and 8/7.
77
Let s = -4056 - -154153/38. Find the common denominator of 31/9 and s.
342
Let o(x) = x**3 - 5*x**2 + 2*x + 2. Let h = 9199303/33 + -278731. Let d = h - 92/3. What is the common denominator of o(3) and d?
11
Calculate the common denominator of (-4)/108*-1*(-159)/4 and -127/18.
36
Let u(a) = 11*a + 319. What is the smallest common multiple of u(-27) and 666?
7326
Let i = 9042 + -4768. Let p = i - 29860/7. What is the common denominator of p and 25?
7
Suppose -19*f + 3770 = -14*f. Let k = 47500/63 - f. Let w = -689/126 + k. Calculate the common denominator of w and 79/4.
4
Find the common denominator of -145/18 and (-7)/525*(-783)/(-18).
450
Let o = -118 + 34. Let x = 47 + o. Let i = -27 - x. What is the least common multiple of i and 11?
110
Let f = -17050753/10470 + -522/1745. Let n = f - -1619. What is the common denominator of 43/(-7)*-1 - -2 and n?
42
Suppose -4*n + 4*m - 96 = -0*m, 3*n = 5*m - 72. Calculate the common denominator of (2/n)/(60/(-3276)) and 127/18.
180
Let m(t) = -2*t + 4*t**2 - 4 - 5*t**2 + t + 5*t. Let y be m(4). What is the lowest common multiple of y*(0 + 9/(-6)) and 2?
6
Let a = 13609/18 - 752. Let v = 88401116/264099 - 3682/11. Let l = v + -381475/16006. Find the common denominator of l and a.
18
Let l be (0 - 6) + 3 - 3172. Calculate the common denominator of l/90 + 2/(-9) and 67/28.
28
Suppose -19 = -4*k - 3. Suppose 0 = y + 2*y + k*q - 32, -3*y + 17 = q. Calculate the common denominator of (2/42)/(y/(-237)) and 45/22.
308
Let l = 2 + 44. Calculate the common denominator of -119/48 and (-5)/(-40)*l*(-2)/6.
48
What is the common denominator of 290/15 + 1/(-2) and 3 + -4 + 122/24?
12
Suppose 3*h = 4*h + 4*h. Find the common denominator of -46/51 and h + (-4)/48*286.
102
Let c = 100135/429678 - 1/5886. Find the common denominator of -50/7 and c.
511
Let z(f) = -f**2 + 23*f + 8. What is the least common multiple of 8 and z(23)?
8
What is the common denominator of -31/257 and 370/(-66)*(-45)/75?
2827
Let t = 721 - 5282. Let o = 45647/10 + t. Find the common denominator of o and 44/28*(-6)/(-4).
70
Let f = -2 + -7. Let y = f - -9. Suppose 2*q + y*c = -c + 15, -q + c + 3 = 0. Calculate the lowest common multiple of 4 and q.
12
Let t = -145177/18 + 8068. Find the common denominator of t and 119/30.
90
Calculate the common denominator of 6 + 1 - (-2451)/(-418) and -19/82.
902
Let r = 11/2 - 115/6. Let h = -23552/16991 - -2/1307. Find the common denominator of h and r.
39
Let y = -13 + 42. Suppose -5*v + 3*v = 0. Suppose -3*q + 5*a + y = v, -5*q - 3*a - 6 = -111. Calculate the smallest common multiple of q and 22.
198
What is the lowest common multiple of -3*6/(-1 - 1) and 3?
9
Suppose -3*o = 2*b - 0*b - 20, o - 24 = -5*b. Suppose -o*k - 128 = -12*k. What is the lowest common multiple of 3 and k?
48
Find the common denominator of -64/39 and ((-1)/(-63))/((-1020)/6902).
3510
Let p(h) = -h**3 + 17*h**2 - 12*h + 40. Calculate the smallest common multiple of p(16) and 72.
936
Let z = -1 + 32. Suppose -v = b - z, v = -0*v + b + 35. What is the least common multiple of v and 21?
231
Let y(g) = 7*g**2 + g - 2. Let m be y(-4). Let o = m + -154. Find the common denominator of 49/8 and (o/(-55))/((-13)/65).
88
Let q = 8 - 8. Suppose -3*w + 4*b - 15 = q, 2*w + 2*w + 5*b = -20. What is the common denominator of -30/7 and 1*5/1*w?
7
Suppose a + 6 = i, 3*i - a + 5*a + 3 = 0. Let d = i - 3. Suppose 5*j = k + 91, -4*k = -d + 4. What is the smallest