ommon denominator of ((-1)/(-10))/(4/122) and (-2)/6 + l + (-121)/(-12).
20
Suppose -f - 12 = 2*f. Let z be 92/8 - 1/2. Let v = f + z. What is the least common multiple of 6 and v?
42
Let o = -1514 + 1562. What is the least common multiple of o and 128?
384
Let i = 2818 - 84529/30. Calculate the common denominator of i and 41/55.
330
Let v(j) = -j**2 + 8*j - 4. Let t be v(8). What is the common denominator of (-1048)/(-72)*(-6)/t and 65/12?
12
Let h = 1070 - 30993/29. Let p = -22 + 41/2. Calculate the common denominator of p and h.
58
Suppose 0 = -9*n + 120 + 15. Calculate the least common multiple of n and 105.
105
Let w be 1/(-1) + (-20)/5. Let h(s) = 58*s**2 - 2*s - 6. Let b be h(w). What is the common denominator of 53/18 and (-3)/(-15) + b/180?
18
Calculate the common denominator of 55/72 and (1/2)/(210/938).
360
Let z = 127879/2 - 65370. Let r = z + 1474. Calculate the common denominator of 25/13 and r.
26
Calculate the common denominator of (-156)/(-429)*((-12)/(-27))/(4/3) and -2*1 - 321/(-72).
264
Suppose -3*c + 0*c + 21 = 0. Let i = -298 + 303. What is the smallest common multiple of c and i?
35
Let m(x) = x**2 + 5*x + 1. Let o be m(-5). Let b = 47129/2334 + -10/389. What is the common denominator of b and (41/(-8))/o + 2?
24
Suppose 3*l - 35 - 154 = 4*x, -5*x - 228 = -l. What is the common denominator of 190/x + 1 + -1 and ((-6)/10)/((-1)/(-19))?
45
Suppose 0 = 2*m + 98 - 94. Let x be (-1 - -1 - -1)*-13. Find the common denominator of 67/m*x/(-117) and -63/20.
180
Suppose -r + 3*w - 9 = -6*r, 4*r + 2*w - 8 = 0. Let o(h) = -h**3 - 4*h**2 + 2*h + 7. What is the least common multiple of o(-5) and (-132)/(-9)*r/2?
22
Let g(w) = 2*w + 1. Let p be g(2). Suppose j + p*j = -84. Find the common denominator of 95/2 and (20/144)/(j/(-66)).
84
Suppose 26*z - 1021 = 123. What is the common denominator of -38/5 and z?
5
Let o = -50/351 - 14747/12285. What is the common denominator of o and -93/70?
70
Let r be (-214243)/24*(-5 - (-9 + 6)). Let s = r - 17864. Calculate the common denominator of s and -51/7.
84
Let n = -3139/2128 - -5/133. Find the common denominator of -33/10 and n.
80
Let p = 24430431/10 - 2440464. Let k = -2573 + p. Find the common denominator of 1 + 1 - 97/22 and k.
110
Let v be (-54)/(-6)*4*(-58)/(-138). Let d = v - 544/115. Find the common denominator of d and -27/2.
10
Let b = -9/9506 - 377603/2785258. What is the common denominator of b and 39/5?
1465
Let t = -607 + 617. Calculate the smallest common multiple of t and 78.
390
Let o = 6473/2860 + -33/260. Let b be ((-16)/(-10))/(2/10). What is the common denominator of o and (-27)/15*(-5)/b?
88
Let l = 1486 - 1388. Calculate the smallest common multiple of l and 42.
294
Let f(m) = -m**3 + 2*m**2 + 3*m + 3. Let h be f(3). Suppose 0 = 3*c - p - 15, -3*c + 29 = 2*c - h*p. Calculate the smallest common multiple of c and 1.
4
Find the common denominator of 805/50 - 18/(-45) and -11/130.
130
Let a = 2299/170 - -57/34. Let m = 17386393/40 + -434632. Let y = a - m. Calculate the common denominator of -67/20 and y.
40
Suppose -b = 2*q - 26, -2*q + 13 = -3*b - 5. Let y = -1 + q. Let g(l) = 8*l**2 + 87*l - 9. Calculate the least common multiple of y and g(-11).
22
Let s = 99 + -83. What is the smallest common multiple of s and 12?
48
Let v = -157/40 + 31/8. Find the common denominator of 0 - (87/(-14) + (-10)/35) and v.
20
Suppose 4*j = 3*i - 95, 0 = -j + i - 3*i - 10. Find the common denominator of 33/14 and (-4 - 33/j)*1.
140
Let h = -4673 + 383237/82. Find the common denominator of -9/14 and h.
574
Let b be (-18260)/4200*111661628/(-102345551). Let i = -52/4229155 + b. Let t = 11/147 + i. Find the common denominator of 7/2 and t.
22
Suppose 2*o + 4*i = 3*o - 31, -2*o - 4*i = -26. Calculate the least common multiple of 1 and o.
19
Suppose 15*i - 3*i = 540. What is the least common multiple of 60 and i?
180
Let i = -7 + 13. Suppose -2*s = 4*c - 10 - 0, 0 = -2*s - 3*c + 5. Let b(x) = x + 21. Calculate the smallest common multiple of i and b(s).
48
Suppose y = -7*y. Let n(q) = 4*q - 2. What is the least common multiple of n(6) and (-8)/(1 + (y - 3))?
44
Suppose 12*f = 7*f + u + 1932, -f + 3*u + 378 = 0. Calculate the least common multiple of f and 8.
3096
Let f be (-1 - -3) + (9 - 3). Let d = 11 - f. Suppose 3*j - 4 - 2 = -d*r, 3*r + 5*j = 2. What is the smallest common multiple of 5 and r?
20
Suppose -4*w + 6*w = 4. Suppose 0 = -5*f + 6 + 14. Suppose -5*j - f = -2*i - 0, -i = j - 2. Calculate the lowest common multiple of i and w.
2
Let s = 1463/204 - 333/17. Let z = 179/90 + 1/9. Find the common denominator of s and z.
60
What is the common denominator of 910/180*15/(-10) and 58/165?
660
Suppose 46*z - 49864 = -19228. What is the least common multiple of 5 and z?
3330
Let k(q) = q**3 - 11*q**2 + 28*q - 66. Calculate the smallest common multiple of k(9) and 48.
48
Let w(n) = -98*n + 922. What is the smallest common multiple of 195 and w(9)?
1560
Let j = -11093/120 + 467/5. What is the common denominator of 50/57 and j?
456
Let g = -1246559/40 + 31161. Find the common denominator of g and (2/12)/(80/(-108)).
40
Let x(z) = 11*z - 701. Calculate the least common multiple of x(65) and 166.
1162
Let c(o) = -14*o**3 - 3*o**2 + o + 5. Let w be c(5). Let m = w + 7161/4. Find the common denominator of m and 61/62.
124
Calculate the least common multiple of (-53)/(-5) + 12 + (-174)/15 and 2.
22
Let c(m) = 721*m**2 - 725*m**2 - m**3 - m - 3 - m. Calculate the least common multiple of 128 and c(-4).
640
Suppose -3*k + 37 + 5 = 0. Let c = -396 + 404. Suppose g + c*z = 3*z + k, -17 = -2*g + z. What is the least common multiple of g and 7?
63
Let g = 5/252 + -5591/252. Calculate the common denominator of g and 18/65.
390
Suppose -3*p + 4 + 14 = 4*a, -13 = p - 5*a. Suppose -p*k - 136 = 20. What is the common denominator of 47/9 and -4 + 3 - k/(-16)?
72
Find the common denominator of 1 + (-8)/576*-222 and -49/1658.
9948
Suppose 0 = l - 1 - 17. Let b = l + -27. Calculate the lowest common multiple of 40/12*b/(-5) and 14.
42
Suppose 0 = u - 21 + 19. Let r = u + 4. What is the least common multiple of r and 10?
30
Let g(v) = 8*v + 1. Let x be g(-2). Let h = 281 + -181. What is the common denominator of 41/11 and h/x - (1 - -1)?
33
Let w = -4 - -6. Let a(v) = -v**2 - 4*v + 11. Let u be a(2). What is the lowest common multiple of -32 - -33 - (u - 18) and w?
20
Let a(i) = 2*i**3 - i**2 + 2*i - 1. Let s be a(1). Suppose -4*r + 5*g + 36 = 0, -r + s*g - 4 = -4*r. Calculate the lowest common multiple of 12 and r.
12
Suppose 5*c = 4*c - 9. Find the common denominator of -65/2 and ((-47)/(-3))/(13 + c).
12
Suppose -19 = -5*v + 2*h, -4*v - 4*h + 7*h + 18 = 0. Suppose -v*p = -p + 24. Calculate the smallest common multiple of ((-4)/p - 1)*-9 and 3.
6
Let w = -4899/4 + 1250. Let c = w + -4741/188. Let o = 5537/282 + c. Find the common denominator of -33 and o.
3
Let s = 102 - 186. Calculate the common denominator of 23/(-212) + 21/s and 26/9.
477
Let v(n) = -n**2 - 5*n + 70. Calculate the smallest common multiple of v(-11) and 3.
12
Let a = 2087 + -10471/5. Find the common denominator of a and 55/38.
190
Suppose -5*n - 50 = -5*i, 0 = -5*n - 17 - 8. Calculate the lowest common multiple of 5 and i.
5
Let n = -169/10 + 959/60. Calculate the common denominator of n and -113/110.
660
What is the least common multiple of 17/(170/460) + -7 and 18?
234
Let f = -66993887/1306 + 51297. Let o = -15323/5877 + f. What is the common denominator of o and -73/6?
18
Let f(a) = -126*a**3 - 8*a - 8. Calculate the smallest common multiple of f(-1) and 3.
126
Let o = -7 + 12. What is the smallest common multiple of 6 and (18/(-6) - (-1 - o)) + -2?
6
Let q = -80 + 100. What is the common denominator of 137/12 and -2*(-342)/(-96)*q/(-9)?
12
Let u = 8 - 5. Suppose 445 = -u*f + 115. What is the common denominator of (-3)/(-6)*f/(-6) and -27/2?
6
Let d = -67 - -76. What is the smallest common multiple of 225 and d?
225
Let x(l) = -l**2 + 12*l - 13. Suppose -k + 3*a + 12 = 2*a, 0 = k + 4*a - 2. What is the least common multiple of x(k) and 15?
105
Let k = -472/29 + 17026/957. Find the common denominator of k and -55/21.
231
Let n(h) be the first derivative of -3*h**4/2 + h**3/3 + 2*h**2 + h - 4. What is the common denominator of n(2) and -4