144
Let f = 2 + 20. Calculate the least common multiple of 32 and f.
352
Let v = -48/233 + 19545/3262. What is the common denominator of (-87)/4*(-6)/9 and v?
14
Let v = 4/253 + -6092/1265. Let p = -1147/132 + -68/33. Find the common denominator of v and p.
20
Let g be (3/9)/((-438)/(-36)). Let k = g + -168/803. What is the common denominator of (0 - 1) + 91/4 and k?
44
Let r be 12/4*-1 - -2. Find the common denominator of -18 and 236/16 + r + 2.
4
Suppose b = -6 + 16. Suppose 5*a + 20 = 5*h - b, -2*h = -a - 12. Let y(z) = -z**3 + 6*z**2 - z + 8. What is the smallest common multiple of 10 and y(h)?
10
Suppose 3*g = 6, -3*q + g - 4*g = 21. Let y(z) = -13 - 18*z - 18*z + 24*z - z**2. What is the least common multiple of y(q) and 22?
154
Calculate the smallest common multiple of 20 and 2/2 + (16 - 1).
80
Let k(p) = -3*p**2 + p + 6. Let b be k(-6). Let d = 1987/18 + b. Find the common denominator of 81/20 and d.
180
Let w = -34789/4 + 8553. Let a = -1121/8 - w. Find the common denominator of a and 33/2.
8
Let c = 27 + -13. Suppose 4*p + 8 = 0, u + p = -2*p - 2. Let a(q) = 3*q - 4. What is the lowest common multiple of c and a(u)?
56
Let h = 519/5 + -101. Find the common denominator of h and 79/16.
80
Let q = 535/9 + -154/3. Find the common denominator of q and -31/7.
63
Suppose -2*a + 34 = -2*m, -2*m - 1 - 5 = 0. What is the lowest common multiple of 20 and a?
140
Let b = 22087/69278 - 2/3149. Calculate the common denominator of 3 + (3 - (-446)/(-44)) and b.
22
Suppose 13 + 3 = j. Calculate the smallest common multiple of j and 12.
48
Suppose -4*n + 8 = -3*n. Let w = -8 - -13. Calculate the least common multiple of n and w.
40
Let p = -2/837 - -22639/16740. Let z = -5111/474 - 4/79. Calculate the common denominator of p and z.
60
Let i(k) = k + 9. Let w be i(-4). Let v = w + -5. Suppose v - 12 = -2*a. What is the least common multiple of 22 and a?
66
Let g(q) = -q**3 - 5*q**2 - q. Let p be g(-5). Suppose -p*x + 14 = 3*k, 2*x = k - 0 + 10. What is the lowest common multiple of 10 and x?
20
Find the common denominator of 25/28 and (-71)/30 + (-2 - -6) + -1.
420
Let g(o) = -o**3 + 5*o**2 + 2*o. Let w(n) = 4*n + 7*n**2 - 3*n - 4*n**3 - 5*n**2. Let x be w(-1). What is the common denominator of g(x) and 121/10?
10
Suppose 0 = -2*j - 0*j. Suppose -5*n + 3*n + 4 = j. Calculate the smallest common multiple of 14 and n.
14
Let d be 135/7 - 8/28. Suppose 41 = 5*l - d. What is the common denominator of (-2)/l*63/(-6) and -97/4?
4
Let n = -68581/390 - -2231/13. What is the common denominator of -8/5 and n?
30
Let f be (-606)/(-9) - (-1)/(-3). What is the common denominator of f/(-12) - (-2)/(-8) and 3/4 - 1644/(-336)?
42
Let p = -4211740511/8533 - -228885/1219. Let g = 56842105/112 + p. Let h = -14119 + g. Calculate the common denominator of h and 17/6.
48
Let d = -7931/4 + 1972. What is the common denominator of d and 33/8?
8
Suppose 26 - 22 = y. Calculate the least common multiple of y and 12.
12
Let j = 12693/4 + -3152. Find the common denominator of 12/3 - (-290)/(-12) and j.
12
Calculate the smallest common multiple of (7 - 0)/(4/4) and 11.
77
Suppose 0*z = -5*z + 2*l + 104, 3*z = 3*l + 66. What is the smallest common multiple of z and 22?
220
Suppose -7*v + 3*v = 92. Calculate the common denominator of -13/11 and v.
11
Let y be 23 - (3 - 6)/(-1). Suppose i = -i - y. What is the common denominator of ((-2)/12)/(i/57) and 131/6?
60
Suppose 3*g = -2*g + 115. Let j = g + -13. What is the least common multiple of 1 and j?
10
Let i(x) be the third derivative of -x**5/30 + 3*x**2. Let a be i(3). Calculate the common denominator of -14/3 and 116/a - (-2 - -3).
9
Suppose 2*q = 5*f - 2*q - 280, 0 = -q + 5. Calculate the smallest common multiple of 8 and f.
120
Let m = 32 + -18. Calculate the lowest common multiple of 8 and (9/(-2))/(m/(-56)).
72
Suppose b = 3*b - 48. Find the common denominator of 81/14 and (-94)/6*b/160.
140
Let y = -240823/16 + 15057. What is the common denominator of 0 + (-1)/(-16)*(-1340)/(-25) and y?
80
Let g = 599/3 + -197. Let k = -27917/11 - -2536. Find the common denominator of g and k.
33
Suppose 10 = -8*c + 3*c. What is the common denominator of (-317)/45 - c/(-5) and -19/6?
18
Suppose -20 = 5*q - 10*q. Suppose -5*o = -9*o - 5*p + 6, -2*p - 12 = -2*o. What is the least common multiple of q and o?
4
What is the common denominator of (15 - -11)/(25/2) and -109/40?
200
Suppose 4*s - 5 = 3*s, -2*t + 37 = 3*s. Let h = -10 - -4. Calculate the lowest common multiple of t and 75/h*(-12)/15.
110
Let m be 1 + (-9)/(0 + -3). Suppose 0 = 4*x + 4*l - 24 - m, -l - 4 = 0. Calculate the smallest common multiple of 7 and x.
77
What is the common denominator of (2/3)/(3*(-6)/(-9)) and 64/15?
15
Suppose -3*g + 5*r = 2*r - 27, 2*g + 3 = -5*r. Let a(o) = -6*o - 14. Calculate the lowest common multiple of g and a(-6).
66
Let j = 24 + -16. Calculate the smallest common multiple of (-273)/(-28) - (-2)/j and 2.
10
Suppose f + 80 = 5*n, -2*n + 80 = 3*n + 3*f. Suppose -49 = -2*i - 17. Calculate the least common multiple of i and n.
16
Let t = -1937691 + 261585742/135. Let x = t + 1/270. Calculate the common denominator of x and 111/10.
30
Let b(c) = -c**2 + 11*c + 8. Suppose 5*x = -4*q + 54, x + 4*q = 6*q + 8. Calculate the lowest common multiple of b(x) and 4.
36
Let g(a) = a + 1. Suppose 3*l - 40 = -7. Suppose l*f = 7*f + 24. What is the lowest common multiple of f and g(5)?
6
Let x = 5 + -5. Suppose -2*o + 0*o + 3*l + 8 = 0, 5*o - 4*l - 20 = x. Calculate the least common multiple of 16 and o.
16
Suppose -12*v - 265 + 769 = 0. Calculate the lowest common multiple of v and 24.
168
Let v(d) = d**2 - 2*d - 3. Let j be v(3). Suppose 3*b = -j*b + 6. Suppose -4*g = -3*i - 0*g + 9, -b*i = -g - 6. What is the smallest common multiple of i and 7?
21
Let q = -69853/4 + 17170. Let d = q + 288. Calculate the common denominator of -89/2 and d.
4
Calculate the lowest common multiple of (2/(-3))/(1/(-6)) and 4.
4
Let x = 19 - -6. Let w = -7 + x. Calculate the least common multiple of w and 14.
126
Let h = -82 + 106. What is the smallest common multiple of h and 6?
24
Suppose 0 = -2*b + 5*b + 3*f - 48, 0 = -4*b + 3*f + 50. Suppose -s = -3*s + b. What is the least common multiple of 1 and s?
7
Let j be -3 + 3 + 4903/(-11770). Let w = j + 4/535. Find the common denominator of 71/14 and w.
154
Let n = 13 + -3. Calculate the smallest common multiple of 22 and n.
110
Suppose -5*x - 31 + 2 = 4*h, 3*x = 3*h - 12. Let p = 11 + x. Calculate the lowest common multiple of 9 and p.
18
Find the common denominator of -52/21 and (-26 - -22)*7/(-54).
189
Let m(t) = -t**3 - 12*t**2 - 11*t + 5. Let c be 22/3*(-6)/4. What is the lowest common multiple of m(c) and 11?
55
Suppose 9 = m + 2*m. Suppose 0 = a + 4 - m. Find the common denominator of 17/11 and 17/11 + a + 2.
11
Let k = -2054 + 3537. Let d = 3061/2 - k. What is the common denominator of d and 2 + 39/(-16)*6?
8
Suppose d + 2*o = -3*o - 10, 0 = 4*d - o + 82. Let n = 28 - 69. Calculate the common denominator of (2/d)/(4/(-510)) and n.
4
Let t = 2/11357 + -136342/329353. Find the common denominator of t and 77/4.
116
Find the common denominator of (-205)/(-60) + 0 + 6/9 and 133/18.
36
Suppose 15 = 4*r - 29. What is the smallest common multiple of 8 and r?
88
Let j = -3667 + 80697/22. Suppose -5*t = -4*f - 197, 0 = -4*t - t + 5. Calculate the common denominator of (-2)/(-6) + 556/f and j.
44
Let x = 11378 - 113879/10. What is the common denominator of (5846/(-296))/((-10)/(-2)) and x?
20
Let d = 26273/30 - 4443/5. Find the common denominator of ((-129)/(-3))/(1 - -1) and d.
6
Let y = 10531/14 + -748. Calculate the common denominator of 101/30 and y.
210
Let h = 645/7 - 1059/14. What is the common denominator of h and 16?
2
Let a = -2209/16 - -138. Find the common denominator of -61/14 and a.
112
Let u = -79 + 89. What is the least common multiple of u and 4?
20
Let s = -33/16 + 3625/1424. Let x = 8087/712 - s. What is the common denominator of x and -83/8?
8
Let w be (0 - 4)*41/(-4). Suppose m = 3*o + 7, -2*o = -5*m + 33 + w. Let b(a) = a**2 - a + 8. What is the smallest common multiple of m and b(0)?
16
Suppose 4*r = -5 - 3. Let y be 10/6 - r/6. What is the common denominator of 29/4 and (165/12)/((-3)/y)?
12
Find the common denominato