ommon denominator of ((-25)/l)/((-2)/(-178)) and 137/12?
12
Suppose 0 = -x - 39 + 38. Find the common denominator of 89/6 and ((-14)/(-3))/((-15)/(-21) - x).
18
Calculate the common denominator of 57/2 and ((-4)/(172*(-2)/236))/(-8).
172
Suppose -380 = -183*a + 173*a. Calculate the smallest common multiple of a and 20.
380
Suppose 3*o + 1128 = -102. Let q = -188 - o. Calculate the smallest common multiple of q and 12.
444
Let s = 5/838 + 21157/419. Let b be 3/12*-2 + (-38236)/(-5). Let x = -7653 + b. What is the common denominator of x and s?
10
Let u(y) = -y**3 + 9*y**2 + 6*y + 18. What is the smallest common multiple of u(9) and 32?
288
Let a be 3 + 1 + -2*(164 - -3). Find the common denominator of (35/a)/((-1)/4) and -143/24.
264
Let j(s) = -s**2 - 4*s + 2. Let w be j(-4). Let o = 463/63 + 2/21. Find the common denominator of w/(-4) - (-198)/8 and o.
36
Let a = 75949/3426 - 1/571. What is the common denominator of a and -61/38?
114
Let b = 830/13 + -7719/104. Find the common denominator of ((-73)/(-16))/((-160)/(-128)) and b.
40
Suppose 0 = -i + 1 + 5. Let s = -3 + i. Suppose -8*d + 50 = -s*d. Calculate the lowest common multiple of 7 and d.
70
Let z(w) = w. Suppose -4*u = -4*x - 3*u + 221, -3*u - 15 = 0. Calculate the least common multiple of x and z(4).
108
Let c(n) = -123*n + 18. Suppose -4*z - 2*r + 6*r + 52 = 0, -3*z = 4*r - 4. Let v be c(z). Calculate the lowest common multiple of 22 and v/(-70) - (-1)/5.
154
Let x = 519 - 459. Calculate the lowest common multiple of x and 24.
120
What is the common denominator of (60/(-904))/(9/21) and 27/11?
2486
Suppose -x + 2*k = -28, k - 91 = -3*x - 0*k. Suppose 10*j + 16 = 46. Suppose 6 + x = j*m. What is the lowest common multiple of 8 and m?
24
Let m = -168 + 149. Let o = -13 - m. Calculate the least common multiple of 30 and o.
30
Let f = 18/13 + -33/52. Calculate the common denominator of f and -5/4.
4
Let i = -16530/17 + 1652201/1700. What is the common denominator of 5/38 and i?
1900
Suppose -32 = -4*c - 5*l + 5, 3*c + 3*l = 24. Suppose u - 4 - 12 = -5*w, -14 = -c*u + 2*w. What is the least common multiple of (-6 + 8)/(-1 + 3) and u?
6
Suppose -3*i = -2*p + i - 24, 0 = -5*p + 3*i - 53. Calculate the least common multiple of ((-4)/9)/(15/(-135)) and (-1)/(-2)*-6 - p.
28
Let f = 1187 - 32044/27. Calculate the common denominator of ((-1197)/(-24))/(27/(-12)) and f.
54
Let x = -6 + 4. Find the common denominator of -7/8 and ((-980)/(-12))/(-5)*x/(-6).
72
Suppose 0 = -12*a + 117 - 33. Suppose 2*h + 4 = -5*i + 21, 2*i = -h + a. Let s = -12 - -28. Calculate the smallest common multiple of s and i.
48
Let z = -3605431/840 - -45133/120. Let i = 3923 + z. Calculate the common denominator of 45/44 and i.
308
Let g be (-6)/(-8) - 369/12. Find the common denominator of (177/9)/(40/g) and 46.
4
Let x(u) = -2*u - 2. Let v be x(5). Let o = -4 - v. What is the lowest common multiple of 1/2 - (-100)/8 and o?
104
Let h = 4 - 2. Let z = h - -1. Calculate the least common multiple of (24/10)/(12/30) and z.
6
Find the common denominator of 36/25 and (-38)/76 - (-27)/10.
25
Suppose -5*g = -2*r + 25, 2*r + 2*g + 34 = 4*r. Calculate the least common multiple of 252 and r.
1260
What is the least common multiple of 20 and (4/(-12))/(2/(-12))?
20
Let n = -34189/12 + 2851. Let i = -159929/18 + 8881. Find the common denominator of n and i.
36
Suppose 5*i = -6*i + 66. What is the common denominator of (i - -51)*6/(-9) and 67/9?
9
Let z = -55/267 - -42869/211998. Calculate the common denominator of z and 11/20.
7940
Suppose 2*q + 0*q = 4. Let c(t) = -38*t**3 + 1 + 39*t**3 - 20*t**2 + 6. What is the lowest common multiple of q and c(20)?
14
Let g(t) = t**2 + 13*t + 4. Let l be g(-12). Calculate the least common multiple of 1 + 9 + 3/3 and ((-4)/3)/(l/48).
88
Let s be (4/10)/((-3)/(-30)). Let z(j) = -2*j**2 - 15*j + j**3 + s*j**2 + 11*j - 3*j**2. Calculate the smallest common multiple of z(3) and 7.
42
Let g = 428 - 220. Calculate the smallest common multiple of g and 56.
1456
Calculate the common denominator of -35/36 and (4/(-8))/((-99)/477).
396
Suppose 0 = 4*q + 160 + 48. Calculate the common denominator of ((-2)/(-16))/((-212)/q + -4) and -117/20.
40
Let j = 2 - 0. Let o be 10/25 + 2026/10. Let y = -196 + o. What is the lowest common multiple of y and j?
14
What is the least common multiple of (48 - 0)*(-84)/(-48) and 24?
168
Suppose 2*t - 4*j = 20, 4*t + 4*j + 9 = 1. Suppose 0 = -f - t*f - 3. Calculate the smallest common multiple of 55*((-12)/20 - f) and 8.
88
Calculate the common denominator of (-1 + 4)*(-10)/(-110) and 12/21 + (-22)/7.
77
Let d = -2 + 0. Let a = 291/224 - 21/32. What is the common denominator of a and d/8 - (-482)/(-40)?
70
Let i(r) = -r**3 + 3*r**2 - 1. Suppose -n - 3*v = -11, 6*n - v - 7 = n. What is the lowest common multiple of i(n) and 10?
30
Let s = 2489200283 - 2021230223195/812. Let i = s - -2/203. Let h = i + -504. Calculate the common denominator of 17/14 and h.
28
Suppose 0 = 4*p - 3*p - 5. Suppose -5*y + 151 = 4*q, y - p*q - 9 = -2. What is the lowest common multiple of 8 and y?
216
Let z = -5364 + 193213/36. Find the common denominator of -19/64 and z.
576
Suppose -3*o = 5*y - 8 - 13, 0 = -2*o - y + 7. Suppose o*x + 288 = -x. What is the common denominator of -75/4 and (-10)/(-3)*152/x?
36
Suppose 0 = 4*u - 2*d - 34, u + 6*d - 5 = 3*d. What is the smallest common multiple of u and 62?
248
Find the common denominator of ((-111)/108 - -1)/((-4)/366) and (-110)/(-12) + (-1 - (-2)/(-2)).
24
Suppose 0 = -2*n - 4*x + 84, 46 = 5*n - 4*x - 220. What is the least common multiple of n and 290?
1450
Let p(r) = 2*r - 4. Let c(b) = b**3 + 12*b**2 + 12*b + 8. Let s be c(-11). Let n be p(s). What is the lowest common multiple of (3/2)/((-5)/n) and 1?
3
Suppose 0 = 6*v + 138 - 204. Let i = -15 - -23. What is the least common multiple of v and i?
88
Calculate the common denominator of ((-5025)/(-80))/15 + 2 and 47/10.
80
Let q(k) = 6*k**2 - 2*k - 10. What is the lowest common multiple of q(-2) and 60?
180
Let w = 41 - 59. Let b = 66 - 14. Calculate the smallest common multiple of 4/w - 1210/(-99) and b.
156
What is the common denominator of 1 + -9 + 1176/182 and -99/104?
104
Suppose -3*a - 270 = -12*a. What is the smallest common multiple of 30 and a?
30
Let n = 417/296 - -8/37. Find the common denominator of n and 79/58.
232
Let b be (0 - 4 - -4) + 9/338. Let u = 5177/845 - b. What is the common denominator of (-202)/6*(-6)/(-4) and u?
10
Let i(q) = -2*q**2 - 37*q + 9. Let c be i(-9). Calculate the common denominator of 3/(c/185)*-3 and -81/16.
16
Let m be 3010/84 - 1/(-6). What is the least common multiple of 10 and 4/(-2)*m/(-8)?
90
Let v = 6 + -10. What is the least common multiple of 6/(-4) + (-22)/v and 0 - (-10)/2 - -1?
12
Suppose -2*h - 4 = g - 22, 3*h = 3*g + 18. Let j(q) = -q**3 + 4*q**2 + 8*q - 6. What is the least common multiple of j(5) and h?
72
Suppose 58*f = 33*f + 250. Calculate the lowest common multiple of 28 and f.
140
Let a = -7/41 + 711/82. Let i = 84137 + -422899/5. Let c = -441 - i. Find the common denominator of c and a.
10
Calculate the least common multiple of 465 and (-73)/(-5) - (8 + 462/(-55)).
465
Let h = 50753/10 - 5080. Let q = -1/4 - h. Find the common denominator of 57/20 and q.
20
Let u = 226/17 - 4249/170. Calculate the common denominator of u and -34/15.
30
Find the common denominator of ((-1)/7)/((-18)/(-2667)) and -10/73.
438
Suppose 4*o - o = 12. Let w(y) = 3 - 2*y**2 + 4*y - 4*y**2 + 2*y**2 + 3*y**2. Calculate the lowest common multiple of 9 and w(o).
9
Let f(t) = -t**3 + 8*t**2 + 22*t - 16. Let k be f(10). Let x be 2 + (1 - 1) - -10. Suppose m = k*m - x. Calculate the lowest common multiple of m and 4.
4
Let h = 20787/16 + -1301. Suppose 0*v + 4*v + 1632 = 0. Calculate the common denominator of h and (2/(-16))/((-10)/v).
80
Suppose -x + 5*f = -9, 2*f - 21 - 15 = -4*x. Let v = x - 6. Suppose -g = 5*r - 20 - 23, -5*g - 19 = -r. Calculate the lowest common multiple of r and v.
9
Let g = 22 - 28. Let c be ((-7)/(-1347))/(2/g). Let u = -30925/3592 + c. What is the common denominator of -28/9 and u?
72
Let s = 30 - 23. Suppose s*u - 14 = 14. What is the common denominator of ((-1)/u)/(6/(-588)) and 49/10?
10
Let u(x) = -x**3 + 12*x**2 + 3*x - 28. Calculate the