12.
84
Let m = -1643/5 - -15097/45. What is the common denominator of m and 2/8 - (-54)/(-40)?
90
Let y(h) = -21*h + 246. What is the lowest common multiple of 333 and y(10)?
1332
What is the common denominator of (-174)/14 + 1 + 3 and 303/(-66) - (-19)/38?
77
Let g = 79 - 57. What is the least common multiple of 16 and g?
176
Let a be (-2 + (-25)/(-4))/((-2)/536). Let x = -9195/8 - a. What is the common denominator of x and 55/21?
168
Let f = -171 + 182. Suppose n + f = 5*l - 2*l, 3*n - 9 = -5*l. Calculate the smallest common multiple of l and 10.
30
Suppose a + d = 11, 0*d - d + 2 = 0. What is the smallest common multiple of 22/55 - 33/(-5) and a?
63
Let h(u) = 2*u. Suppose -77*j + 343 = -28*j. What is the smallest common multiple of h(6) and j?
84
Suppose 3 = 5*x - 7. Let d = 60 + -36. Calculate the lowest common multiple of d and x.
24
Let p = 3680 - 412155/112. Find the common denominator of -77/16 and p.
112
What is the common denominator of -143/18 and ((-162)/(-288))/((-3)/44)?
36
Let s be 4/2 - (-4 + 2). Let u(y) = -y + 8. Let m be u(10). What is the smallest common multiple of m + s + 0/(-2) and 2?
2
Suppose -2*o - 2*n = -o, 2*n + 2 = -2*o. Let a = o - -2. Suppose a*l - 18 = -3*l. Calculate the lowest common multiple of l and 18.
18
Suppose 3*q = u + 15, -4*u + 5*q - 23 = -3*u. Suppose -5*x + 2*p = -37, x + 3*p + 0 - 4 = 0. Let c = x + u. What is the smallest common multiple of 18 and c?
36
Let o = 51 - 48. Calculate the common denominator of (-3)/30*(0 + 103) and -2 + o/66*29.
110
Let p = 14 + -26. Let r = -8 - p. Suppose r*f - 30 = 10. Calculate the lowest common multiple of 4 and f.
20
What is the least common multiple of -3 + 9 + ((-1200)/5)/(-5) and 2?
54
Suppose -25*y + 26*y = 5. Suppose 2*n + 4*u - 3 = 13, -4*n - y*u + 38 = 0. Calculate the least common multiple of n and 36.
36
Let q be 99/6*(-12)/18. Let u be (-4)/(-22) + 60733/q. Let i = -121431/22 - u. What is the common denominator of -49/20 and i?
220
Suppose -6*n + 2*n = -3*b + 3710, 5*b - 5*n - 6190 = 0. Let v = b + -3781/3. Find the common denominator of -20 and v.
3
Let b(y) = y - 19. Let k be b(15). What is the common denominator of -1 - (130/36 - 1) and k + (-108)/(-32) - -3?
72
Calculate the common denominator of (2/4)/(4/(-73)) and 36/5.
40
Suppose -2*f - 6*o + o + 3 = 0, -12 = -2*f - 2*o. Let m be f/(-27) + (-79208)/3. Let t = 475387/18 + m. Find the common denominator of t and -25/4.
36
Let r(z) = z + 13. Let w be r(-12). Let x = w + 2. Calculate the common denominator of -127/18 and x/4 + 141/(-48).
144
Find the common denominator of (-1)/3 - 134/12 and ((-936)/196)/((-20)/35) - 5.
14
Let a = -339 - -2803/8. Calculate the common denominator of -101/120 and a.
120
Suppose -8*k + 2*k + 54 = 0. What is the lowest common multiple of k and 23?
207
Let f = 57 - 47. Let s = 7 + -3. Calculate the lowest common multiple of (f - -4)*(15/6 + -2) and s.
28
Calculate the lowest common multiple of 345/23*(34 - 1) and 12.
1980
Suppose 3*t + w - 7 = 21, -5*w + 20 = 0. What is the smallest common multiple of (45/3)/3 - (-275 - 8) and t?
288
Let a = 4019/4 - 16175/16. Let d = 1/10 + -58/5. What is the common denominator of a and d?
16
Let m = -442 - -452. Let n = -9 + 16. What is the smallest common multiple of n and m?
70
Suppose 243*s - 1650 = 228*s. What is the lowest common multiple of 154 and s?
770
What is the smallest common multiple of 7 and 5/(-1) - ((3 - 44) + 1)?
35
Let g = 732 + -692. Calculate the smallest common multiple of g and 265.
2120
Let n(r) = 5*r**2 - 3*r + 1. Let j be n(1). Suppose -j*f = 2*f - 20. What is the least common multiple of f and 22?
44
Let n(i) = -6*i**2 - 18*i + 4. Calculate the smallest common multiple of n(-3) and (2/(-4))/(1/(-2)).
4
Let u = 155 - 120. Calculate the lowest common multiple of 55 and u.
385
Let l = 268 + -144. Calculate the lowest common multiple of l/44 + (-4)/(-22)*1 and 4.
12
Let h(d) = d**2 - d - 145. Let t be h(0). Let p = -90 - t. Suppose 0 = j - 6*j + p. Calculate the lowest common multiple of j and 10.
110
Let z be (-8983 + 6)*1/(0 + -1). Let k = 107585/12 - z. Find the common denominator of -89/22 and k.
132
Let q(z) = z**3 - z**2 - 3*z - 3. Let r be q(-1). Find the common denominator of (-237)/(-72) - (1 - (r + 5)) and -29/27.
216
Let v(a) = 121*a + 9. Let x be v(-1). Calculate the common denominator of 13/4 and (x/(-464))/((-4)/(-14)).
116
Suppose 0 = -5*a + 3*a - 96016. Let b = a + 337094/7. Let m = 153 - b. Find the common denominator of m and -44/7.
7
Suppose 7 = 3*a + 1. Suppose -67 = -a*o + 65. Find the common denominator of -23/20 and 14/(-77) + (-659)/o.
60
Let i = -70270/49 - -1435. Find the common denominator of i and 46/49.
49
Calculate the common denominator of 4 - 1 - (-3)/9 and -1 + 0 - 730/(-570).
57
Calculate the lowest common multiple of 14 and 2/4 - 1582/(-4).
2772
Suppose 0*f - 4*f = -8. Let z(w) = w**f - 297*w + 297*w. Calculate the smallest common multiple of z(2) and 11.
44
Let n = 10176/11 + -182321/198. What is the common denominator of ((-848)/(-132))/(-4) - -2 and n?
198
Suppose -7 = -3*l - 19, -2*d + 5*l + 26 = 0. Suppose 4 = -d*p + 13. Calculate the lowest common multiple of p and 27.
27
Suppose -14*p + 322 = -0*p. Suppose p*c + 7 = 99. Calculate the smallest common multiple of 32 and c.
32
Let c = -62220 - -17919341/288. What is the common denominator of c and -46/27?
864
Let q = 11 + -8. Suppose -3*f - 3*d = -6, 4*f - q*d - 7 = 15. Calculate the common denominator of (-2)/2 + (-81)/f and -2/3.
12
Calculate the common denominator of 49/234 and (-16081)/(-48672) - (-4 - 266/(-63)).
3744
Let s(h) = -15*h + 27. Calculate the least common multiple of s(-10) and 6.
354
Suppose 12*b = -11 - 25. Suppose 4*v = g + 2*v, 5*g = -v - 22. Calculate the common denominator of -1 + g/32 - b and -83/14.
56
Let i = 4786969/70 + -68387. Find the common denominator of 61/77 and i.
770
Let l be (20/6)/((-3)/(-9)). Let m = 15 - l. What is the lowest common multiple of 12 and 9/(-1 - m/(-2))?
12
Let u = -251522566758480776389/910695 - -276187490607193. Let k = 3/60713 + u. Let c = k + -110/3. Find the common denominator of c and -32/7.
35
Let c = 857843/30 - 28598. What is the common denominator of c and (-4)/7 + (-142)/(-42)?
210
What is the least common multiple of 184 - (32 - 2)/(-5) and 10?
190
Let x(w) = w**2 + w + 2. Let f be x(-2). Let q = 319/4 - 65. Find the common denominator of ((-94)/f)/(-3 - -5) and q.
4
Let q = 228585/22 + -10393. Let f = -54983/16 - -3439. What is the common denominator of f and q?
176
What is the smallest common multiple of 65/(-130) + 182/4 and 405?
405
Let w = 5764 + -253531/44. Calculate the common denominator of 115/24 and w.
264
What is the lowest common multiple of (163 - 8) + 3*2/6 and 16?
624
Suppose 4*q + 15 = -5*c, -8*q - 8 = 2*c - 6*q. Calculate the least common multiple of 9 and c.
9
Calculate the common denominator of ((-49)/(-45))/((-4)/(-10)) and ((-3)/(-396))/((-52)/13624).
198
Let o be -4 - (1 + (-5409)/130). Let n = 72/65 - o. Find the common denominator of n and -29/2.
2
Suppose 0 = i - 2*i - 2*p - 10, -3*p = i + 15. Let x be i/((-9)/(-3) + -2). Calculate the lowest common multiple of (-1 - (x + -2)) + 4 and 3.
15
Suppose 0 = -y + 10 + 4. Let w = y + -4. Let t(q) = q + 7. Calculate the lowest common multiple of t(15) and w.
110
What is the common denominator of 900/(-984) + (-25)/(-40) and 95/48?
1968
Let u(t) = -t**3 - 23*t**2 + 2*t + 41. Let i be u(-23). What is the lowest common multiple of 16 and 5 + 20/i + 3?
16
Suppose 19*f = 2449 - 473. Calculate the least common multiple of 22 and f.
1144
Let m be 39/(-3) - (1 - 2). Let b be (m/(-8) - 2)*0. Suppose 2*x = -c + 5*c - 6, b = -4*c - x + 21. Calculate the lowest common multiple of c and 4.
4
Let f(t) = t**3 + 5*t**2 - 13*t - 11. Suppose 2*w = -26 + 10. Let n be f(w). What is the least common multiple of 12 and n/6*(-8)/6?
132
Let t(x) = -x**2 + 1. Let y be t(-3). Let o be (133 + y)*(-84)/15. Find the common denominator of 3 + o/216 + 0 and 53/16.
432
Let p = -16 + 15. Let q be (9/6)/(p/(-4)). Let f = q + -38. Calculate the common denominator of -41/3 and f.
3
Let v = -28 + 37. Let c be 2/(v/(36/(-8))). Find the common denominator of c/2 - (-473)/(-77) and 65/8.
56
Let h(x) = -5*x + 169. What is the sm