 -3*t + y + 14, y - 5 = -t + 5. What is the lowest common multiple of t and p?
30
Suppose -9 + 45 = 3*q. Let m = 6 - q. Find the common denominator of 4 + m - 81/10 and 59/8.
40
Suppose 44*b + 4 = 46*b. Let p be 10/15 + (-7)/(-3). Suppose -17 = -b*l - p. Calculate the least common multiple of 13 and l.
91
Let v(c) = -61*c - 3. Calculate the lowest common multiple of v(-2) and 2.
238
What is the common denominator of (-4)/10 + 383/120 and (-4)/160*-34*-6 - (-18)/30?
24
Let d = 277 - 256. Calculate the least common multiple of d and 28.
84
Let c = 403 + -274. What is the lowest common multiple of 24 and c?
1032
Calculate the common denominator of ((-33)/(-35))/((-49)/(-35)) and -29/70.
490
Calculate the lowest common multiple of (20/12)/((-5)/15) - -85 and 176.
880
Let x be (-1 + -19145)/((-2)/(-4) + -2). Let t = x - 255213/20. Find the common denominator of 83/20 and t.
20
Suppose 3*m + 2*j + 16 + 7 = 0, 0 = -j - 1. Suppose -5*o + 44 = -o. Let v = o + m. Calculate the lowest common multiple of v and 9.
36
Let v = 16/147 + 3205/1617. Suppose w - 4*u = -15 - 9, 2*w = 3*u - 38. Find the common denominator of w and v.
11
Let r = -73 + 76. Suppose -30 + 3 = -r*y. What is the smallest common multiple of 27 and y?
27
Let q = 3 - -4. Let p = 44 - 26. Suppose 5*u - p = 3*u. Calculate the least common multiple of q and u.
63
Let g = 10199 - 306023/30. Find the common denominator of (-286)/(-14)*7/(-6) and g.
30
Let w(t) = -t**3 - 8*t**2 - 3*t + 7. Let d be w(-7). Find the common denominator of (-4)/14 + (-79)/d and 169/30.
210
Suppose -q = 2*q - 27. Suppose -q = a - 3*w, 9 = w + 4. What is the lowest common multiple of 1 and a?
6
Let h be (-3)/(-12) + 79/4. Let o = -52 - -60. Suppose o + h = 4*r. Calculate the smallest common multiple of r and 8.
56
Calculate the common denominator of (264/(-80))/(324/(-30)) and 87/412.
3708
Let q(x) = 2*x**2 - x + 9. Calculate the least common multiple of 80 and q(-5).
320
Let z = 8074/5 + -1607. Let y be 1 + (1 + 2 - 3). Calculate the common denominator of z and y/4 - ((-3432)/(-544) - 8).
85
Let a = 3/1136 - -69131/62480. Calculate the common denominator of 69/50 and a.
550
What is the lowest common multiple of 7 and (-7 - 14/7)*-1?
63
Let u = 246 + -243. Let v = -31 + 47. Suppose -v = -p - u*p. What is the smallest common multiple of 1 and p?
4
Suppose 15*w + 7 = 277. Calculate the smallest common multiple of 60 and w.
180
Let r = 223 + -173. Calculate the lowest common multiple of 20 and r.
100
Suppose -3*u + 55 + 43 = 5*m, 5*m - 2*u = 118. Calculate the smallest common multiple of ((-12)/4)/(-3)*16 and m.
176
Let c = 563 + -443. What is the least common multiple of 108 and c?
1080
Suppose 2*n = -5*d - 1, n - d - 8 = -5. Calculate the least common multiple of 480 and n.
480
Let p = 1031/5600 - -17/175. Find the common denominator of -67/10 and p.
160
Let c(w) = 9*w - 77. Calculate the least common multiple of 49 and c(14).
49
Suppose 3*o - r = 48, 2*o - 2*r - 9 - 23 = 0. Let p = -12 + o. Suppose -50 = -p*s + 22. What is the least common multiple of 50 and s?
450
Let a(u) = -2*u + 8. Let f be a(4). Calculate the lowest common multiple of (-5 + f)/((-6)/18) and 6.
30
Let r be ((-15367142)/(-415596))/((-138)/(-66)). Let b = r - -144/34633. Let l = -58/23 + b. Calculate the common denominator of 11/12 and l.
12
Find the common denominator of -89/86 and 26/65 - (-9)/2.
430
Suppose 2*a + 14*j = 13*j + 32, 0 = -3*a + j + 43. Calculate the least common multiple of a and 273.
1365
Let z = 1264 + -1258. Calculate the lowest common multiple of 12 and z.
12
Suppose -88*r = -82*r - 360. What is the least common multiple of 60 and r?
60
Let j(a) = -a**3 + 8*a**2 - 8*a + 15. What is the lowest common multiple of -3 - (17 + -1)/(-2) and j(7)?
40
Calculate the common denominator of -13/55 and 12/(-24) - (-2 + (-33)/210).
385
Find the common denominator of (-4)/(-1) - (73/(-5))/(-1) and (356/4)/(30/2).
15
Let j(r) = -r**3 - 2*r**2 - 8*r - 34. What is the smallest common multiple of j(-4) and 12?
60
Let u = -1 + 3. Suppose 4*t - 4*y = -4, 4*t + 2*y = 2*t - 14. What is the least common multiple of u and (2/(-6))/(t/132)?
22
Let n = 3751383/226 - 16599. Find the common denominator of -71/4 and n.
452
Suppose -601 = -4*u + 351. What is the common denominator of -44 and u/35*(-6)/(-4)?
5
Let y(i) = 6*i**2 - 5*i - 11. Let v be y(-9). Suppose -l = 4*l + v. Calculate the smallest common multiple of 2/(-3) + l/(-12) and 7.
56
Suppose 7*o - 48 = 5*o. Calculate the common denominator of 10/(-15) - 23/o and -79/2.
8
Suppose 8*k - 46 = 2. Suppose 7*y + 42 = 147. What is the lowest common multiple of k and y?
30
Calculate the common denominator of (2/15)/((-1280)/(-10112)) and -55/18.
450
Find the common denominator of -133/240 and 326/(-30) - -1 - (-29 + 23).
240
Let m(i) = 16 + 0*i**2 + 2*i**3 - 7*i - 3*i**2 - 20 - 3*i**3. What is the smallest common multiple of 24 and m(-4)?
120
Let u(j) = 6*j + 78. Calculate the lowest common multiple of 12 and u(-8).
60
Let a(b) = 9*b + 6. Let w be a(-4). Calculate the common denominator of -2/11 and (46/12)/(w/(-18)).
110
Suppose 11*d = 10*d - 7*a + 86, 3*a = -6. What is the least common multiple of d and 40?
200
Suppose -13 = -2*m - 17. Let g(c) = -12*c + 14. What is the lowest common multiple of 1/(1/(2*1)) and g(m)?
38
Suppose p + 0*p + 2*x + 30 = 0, 3*x + 30 = -p. Calculate the common denominator of 45/8 and (-1)/p*(4 + (-1364)/8).
40
Suppose -9*w = -1513 + 1486. Calculate the lowest common multiple of w and 8.
24
Suppose -h = -3*h + 6. Suppose h = 3*s - 18. Calculate the least common multiple of s and 22/4*30/165.
7
Let d = -1/35691 - -2248615/2926662. Calculate the common denominator of 125/6 and d.
246
Suppose -2*y + 4*s = -38, 6*y - 81 = y - 4*s. Let l(d) = d - 11. What is the lowest common multiple of l(y) and 30?
30
Let d(w) = -w**2 - 28*w - 32. What is the least common multiple of d(-22) and 40?
200
Suppose -5*u = -266 + 36. Suppose 0*v + 2*i = 2*v - u, -v = -3*i - 25. Suppose -h = h - v. Calculate the least common multiple of 8 and h.
88
Let c = -9273 - -250411/27. Calculate the common denominator of c and 95/156.
1404
Let f = -2/17779 - -408997/711160. Find the common denominator of -131/72 and f.
360
Suppose -4*k = -4*r - 32, -5*k + 2*r + 60 = 7*r. Suppose 4*b - 9 = 4*w - w, -w = 5*b - 16. Calculate the smallest common multiple of k and (21/15 - w)*15.
30
Let p(b) = 10*b**2 - b - 1. Let n be p(-1). Suppose 4*g - n = 46. What is the smallest common multiple of g and 18?
126
Calculate the common denominator of -73/140 and (1 - (-487)/(-70))*(-200)/(-600).
140
Suppose 2*j - 6 = -2*z - 0*j, -j + 3 = 0. Suppose -s + 45 - 9 = z. What is the common denominator of 5 + 159/(-18)*2 and s?
3
Let z be (123604/4800 - -1) + -4. Let g = 1/1200 - z. Find the common denominator of -25/3 and g.
12
Let g be (-20)/30 - 207676/66. Let m = g + 3144. Calculate the common denominator of m and 48/19.
209
Let t be -1 + 1*24 + (1 - 5). Suppose -t*y = 234 - 614. Calculate the lowest common multiple of y and 20.
20
Find the common denominator of (-8)/12*(-444)/(-128) and 49/4.
16
Let r be (-3)/(-3) + -378*3. Let d = r + 4491/4. Find the common denominator of d and (10/(-7))/(18/(-56)).
36
Let u(o) = 2*o + 11. Let p be u(-4). What is the common denominator of (-2)/(p + 460/(-164)) and 1134/(-330) - 2/10?
44
Let z = 485 - 443. Calculate the least common multiple of 30 and z.
210
Let x(q) = -5*q - 2. Let i(a) = -a**3 - 15*a**2 - a + 17. Let c be i(-15). Let f = c - 10. Calculate the least common multiple of f and x(-4).
198
Let z = -95/169 + 11015/4563. Calculate the common denominator of z and 113/18.
54
Calculate the common denominator of -79/146 and (-6913)/1023 + (-8)/(-3).
1606
Let v(i) = -4*i. Let x be v(6). Let s be (-5714)/22792 - 6/x. Let u = 150989/11396 - s. What is the common denominator of 103/54 and u?
108
Let g = -587/154 + 19/14. Find the common denominator of -4/231 and g.
231
Let v(s) = -s**2 + 24*s - 87. Let z = 1 + 0. Calculate the lowest common multiple of (-3 - -2)*-2*z and v(5).
8
Let f(j) = 85*j + 10. What is the lowest common multiple of f(2) and 24?
360
Let t be 714/105 + 18/(-10) + 2. Suppose s + t = 2*m + m, 2*s - 16 = -4*m. Calculate the lowest common multiple of m and 9.
9
Let i = -2/14575 -