 and k.
4
Let t = 3/2 + -9/14. Let x = -28126189177/445 + 63204946. Let s = 1/890 - x. Find the common denominator of s and t.
14
Calculate the common denominator of 59/22 and 1274/(-144) + 12/54.
88
Suppose 114 - 4 = 5*g. Let q be 238/18 - (-2)/(-9). Let o = g - q. Calculate the smallest common multiple of 8 and o.
72
Let q = 31079/42 + -5335/7. Let m be (8/2)/2 - 3. What is the common denominator of q and m/4 + (-75)/5?
12
Suppose 0 = 5*n - 5 - 0. What is the smallest common multiple of 6 and n - 5/((-15)/6)?
6
Let k = -73 + 41. Let q = 11 + k. Let n(v) = 5*v - 2. Find the common denominator of q and n(2).
1
Let x = -2 - -4. Calculate the smallest common multiple of 38 and x.
38
Let c = 10 + -5. Let k(r) be the first derivative of r**3/3 - 5*r**2/2 + r + 1. What is the least common multiple of k(c) and 1?
1
Let u = -1063874/482185 + 267/121. Let t = u - 171373/71730. What is the common denominator of -33/8 and t?
72
Calculate the common denominator of 39/8 and (-36 + 34)/((-232)/142).
232
Suppose 2*f - 5*f = -12. Suppose -2*n - 2*n = -8. Calculate the smallest common multiple of -2 + 5 + 0/n and f.
12
Suppose 2*r - 12 = -4*c - 0*r, r = c. Suppose -2*v - c*v = -28. Calculate the lowest common multiple of v and 9.
63
Suppose 2*n - 6 = -n. Suppose -n*g - 13768 = 2*g. Let d = g + 27489/8. Find the common denominator of -47/6 and d.
24
Let t = 319121239683/5480657 + -154645694/2977. Let b = t + -6280. Let l = b + 127053/14728. What is the common denominator of 133/6 and l?
24
Find the common denominator of (-414)/140 + 5/(-35) and 29/11.
110
Let d be (-13)/3 + 3/9. Suppose 7*u - 64 = 3*u. Find the common denominator of 2/d - (-49)/u and -65/6.
48
Let j be ((-12)/9)/((-1)/3). Suppose j = 5*x - 4*x. Let b(l) = -6*l - 104. Calculate the least common multiple of x and b(-19).
20
Find the common denominator of -29/16 and 2 - ((-333)/(-6) + -4).
16
Let i be ((-1)/(-1))/(2/16). Calculate the common denominator of (-62)/i + (-4 - -4) and (121/2)/(-10*1).
20
Let z be (2192/(-7230))/(4/42). Let f = -4/241 + z. What is the common denominator of f and 15/11?
55
Let v = -49 - -71. Calculate the lowest common multiple of v and 18.
198
Suppose t + 0*t = 10. Find the common denominator of t/(-40) + (-211)/(-20) and 37/18.
90
Suppose 0 = -2*b - 2*b + 20. Suppose b*g - 86 = -26. Calculate the smallest common multiple of g and 14.
84
What is the least common multiple of 1 and (20 - -8) + (1/1 - 2)?
27
Let s be 3 + ((-126828)/(-64))/3. Let h = s + -667. Find the common denominator of h and -73/14.
112
Let c(o) = -o**2 - 4*o - 1. Let u be c(-5). Suppose 3*n - 126 = 5*r + 6, -3*r = -2*n + 79. What is the common denominator of -113/20 and (r/(-60))/(u/(-14))?
20
Let h = 1/101339725 + 8547195084211/176229781775. Let f = h - 1/3478. Calculate the common denominator of (4/12)/((-2)/9) and f.
2
Let j be ((-175)/(-15))/(3/(-27)). Find the common denominator of 6/(-4)*j/(-28) and 89/18.
72
Let s(p) = 6*p - 30. What is the least common multiple of 12 and s(6)?
12
Let f be (-6 - -6)/(-1 - -2). What is the least common multiple of 10 and f - ((-24)/3 + -3)?
110
Let d = 5048 - 60515/12. Calculate the common denominator of (-4 + -5)/(-3) + 207/(-42) and d.
84
Let x = 2661 + -13246/5. Calculate the common denominator of -26/7 and x.
35
Let f = -34 - -6. Let r(i) = -2*i**3 - 3*i**2 + 2. What is the smallest common multiple of f/7*(-18)/4 and r(-2)?
18
Let y = -13825 + 8040. Let q = -80911/14 - y. Let z = 15743/5202 + -120/289. Calculate the common denominator of q and z.
126
Suppose -4*l + 7*l = -3*v + 36, -4 = -3*l + 5*v. What is the lowest common multiple of l and 124/12 - 1/3?
40
Suppose -i = 3*k - 17, -k + 36 = 4*i + 3*k. Suppose 105 = i*r + b, 69 = 2*r - 3*b + 10. What is the lowest common multiple of 16 and r?
176
Let f(r) = -2*r - 12 + r + 7. Calculate the lowest common multiple of f(-9) and 11.
44
What is the common denominator of (-7)/(-6)*19/1 and 5/14?
42
Let s = 263657/31410 + -9/1745. Find the common denominator of (42/8)/((-66)/(-4)) and s.
198
Let p = 3331 + -46615/14. What is the common denominator of p and -1 - ((-19)/(-20) + 1)?
140
Let l(s) be the second derivative of -7*s**3/2 + s**2/2 + 8*s. Calculate the lowest common multiple of 22 and l(-1).
22
Let k = -151/42 + 45/14. Calculate the common denominator of k and -113/30.
210
Let q = -3 - -5. Calculate the common denominator of (103 + -7)*q/(-9) and -71/10.
30
Let r = 24 - 10. Calculate the lowest common multiple of r and 22.
154
Let r = -226/11 - -223/66. Find the common denominator of r and -77/12.
12
Calculate the common denominator of ((-122)/(-4))/((-35)/(-14)) and 5/8.
40
Let y = -13 - 2. Let q = y - -21. Calculate the smallest common multiple of 4 and q.
12
Suppose -q + 0*q = -11. Let l = q + 5. Let f = 8 + 0. Calculate the smallest common multiple of l and f.
16
Let y = 1321/30 - 275/6. What is the common denominator of 4/6 + (-149)/12 and y?
20
Suppose 0*u + u = 165. Suppose -3*k - 2*k = -u. What is the common denominator of -3 + 2 + (-105)/k and 20/3?
33
Let j = 22499/234 - 1190/13. What is the common denominator of j and 59/12?
36
Let t = -29/33 - 3209/66. What is the common denominator of t and -27/10?
10
Let j = -5543 - -7872. Let i = 871377/4 - 215534. Let t = j - i. What is the common denominator of -7/3 and t?
12
Let l = -165/193 - 16541/11580. Calculate the common denominator of l and 93/4.
60
Suppose 4*p - 3*o + 56 = 0, -4*o - 3 = p + 11. Let i be p/91 + (-160)/(-26). Let x = i - -5. What is the lowest common multiple of 3 and x?
33
Let z = 2/4805 - -106667/9610. Let y be (8/(-14))/((-18)/4682). Let w = y - 1077/7. Calculate the common denominator of w and z.
90
Let v be -6*(-1 - (-10)/4). Let z(h) be the first derivative of -h**4/4 - 3*h**3 - h**2/2 + 11*h - 1. What is the smallest common multiple of z(v) and 14?
140
Let s be 1/(-6) - (-13578)/(-180). Let n = s - -77. Calculate the common denominator of n and 10/(-12) - (1 + -3).
30
Let l(j) = 22*j**2 - j + 1. Let f(h) = 30*h + 220. What is the least common multiple of f(-7) and l(1)?
110
Suppose -4*s - 2*q = 16, -3*q - 6 = 2*s - 2. Let p = 7 + s. What is the smallest common multiple of (0 - -6)/((-9)/(-6)) and p?
4
Suppose -4*f + 0 + 8 = 0. Calculate the least common multiple of 3 and f.
6
Let t(j) = j**3 + 8*j**2 + 7*j - 1. Let n be t(-7). Calculate the common denominator of -83/16 and 58/6*n/(-8).
48
Suppose i - 5 = -1. Let q = i - -1. Suppose -4*o + 84 = -4*c, 0 = -q*c - 25. Calculate the least common multiple of o and 6.
48
Calculate the common denominator of (0 + (-51)/6)*(-10)/4 and -31/6.
12
Let j(y) = -6*y**3 - 2*y**3 - 2*y**2 - 1 + 4*y**2. Let i = 0 - -11. What is the least common multiple of j(-1) and i?
99
Calculate the smallest common multiple of 18 and 24/(-16)*-2*268/3.
2412
Let x = 31 + 39. Suppose -j + 47 + 3 = 3*n, -5*j + x = 5*n. What is the lowest common multiple of n and 12?
36
Suppose -4*f + 9 = 5*l - 14, -5*f + 25 = 5*l. Let o = l + -3. Suppose o = -g - 7 + 17. Calculate the lowest common multiple of 1 and g.
10
Let p be (-2)/(-9) + 292/(-18). Suppose 5*z + 22 = -8. Let c = z - p. What is the smallest common multiple of 9 and c?
90
What is the common denominator of -41/45 and (-103 + -3)*((-13)/(-110))/(-13)?
495
Let a = 26243/12 - 2190. Find the common denominator of -17/15 and a.
60
Calculate the common denominator of -1 + (3 - 5) + 606/60 and 107/72.
360
Let l = 56 + -24. Calculate the least common multiple of l and 14.
224
Let g = -3593/9 - -398. Calculate the common denominator of g and 145/6.
18
Let x be 15/2*(-32)/(-24). Calculate the common denominator of 93/8 and ((-78)/x)/(9/(-6)).
40
Suppose 5*o - 3*s - 1 = 0, 19 = 5*o - s + 4*s. Let q(r) = r**3 - 7*r**2 + 9*r - 9. What is the smallest common multiple of o and q(6)?
18
Let w = 4 - 0. Suppose -3*f + 15 = -27. What is the smallest common multiple of f and w?
28
Let m = -60 - -88. Calculate the smallest common multiple of m/5 - 6/(-15) and 4.
12
Suppose -3*j = -3*i - j + 2, 0 = 3*i + 5*j - 37. Let y(r) = 6*r. Calculate the smallest common multiple of i and y(3).
36
Let c = -359393024462921/5925501 - -60651922. Let l = -178987658377/23702004 + c. Let j = 7547 + l. Find the common denominator of 55/18 and j.
36
Let d(n) = 0*n**2 + 12*n + 1 + 2*n**2 - n**2 + 1