*-27. Suppose 3*w - 45 + 27 = -d, -3*d - u = 0. What is the least common multiple of w and 417?
2919
Let s be ((-25)/4)/(6/24). Let g(a) = -2*a**2 - 17*a - 23. Let k be g(-10). Let w = s - k. Calculate the least common multiple of 28 and w.
28
Let p = -123 - -125. Suppose k = -4*s + 26, 2*k - 47 + 13 = -p*s. Let n = 4 - 2. What is the smallest common multiple of k and n?
14
Suppose 35144 = 596*a - 573*a. What is the smallest common multiple of 22 and a?
16808
Suppose h + 13 = 41. Let t be (-4 + 34/8)*h. Suppose -4*b - 24 = -t*b. What is the lowest common multiple of b and 4?
8
Let v = 4125 - 4089. What is the smallest common multiple of v and 18?
36
Suppose -4*s + 6720 = 13*s - 3*s. What is the least common multiple of 480 and s?
480
Calculate the least common multiple of ((-1476)/410*(90 - -1))/(3/(-15)) and 546.
1638
Suppose -10*i - 149 + 689 = 0. Suppose 3*v = 2*c + i, -5*v = -2*c + 5*c - 71. What is the smallest common multiple of 8 and v?
16
Let g = -10963 - -11662. Calculate the smallest common multiple of 15 and g.
3495
Let o = -411 - -430. Suppose 2*m + c = o, -m - 2*m + 3*c + 51 = 0. What is the smallest common multiple of 152 and m?
456
Let t = -23568 - -29100. What is the smallest common multiple of 24 and t?
11064
Let y = 20 - 11. Let p be -1 + 7/((-42)/(-36)). Suppose p*j + 2*n - 110 = 0, 6*j - 4*j - 45 = -n. Calculate the smallest common multiple of j and y.
180
What is the common denominator of (-68)/(-54) + (-4)/2 and 12/270*(261/(-18) - 4)?
135
Let t(x) = -2*x + 5. Let w be t(1). Let q be (18418*(-1)/(-346))/(11 - w). Let m = -5/173 + q. Find the common denominator of m and 29/178.
712
Suppose 196 = -4*r + 52. Let d = -40 - r. What is the lowest common multiple of d + 2 + -4 + 10 and 16?
16
Let p(n) = 5*n**2 - 7*n**2 + 24*n**2 - 4 + 35*n**2 - 3*n. Let d be p(-1). Let c = 64 - d. Calculate the lowest common multiple of 40 and c.
40
Let u = 99/248 - 18023/54312. What is the common denominator of u and 29/16?
3504
Let d = 9905 + -9527. What is the lowest common multiple of 147 and d?
2646
What is the common denominator of 67/45 and (15048/4965 - -4) + -9 + 1 + 1?
14895
Let s(c) = c**3 - 2*c + 1. Let v be 42/4*(-4 - 96/(-36)). Calculate the lowest common multiple of (24/v - -2)/((-2)/(-154)) and s(3).
22
Let q = 3565 + -1837. Calculate the common denominator of (-2)/8 + 1107/q and -25/48.
192
Suppose y = 18*t - 17*t + 3426, -3*y + 10236 = 4*t. Calculate the lowest common multiple of 2 and y.
3420
Let m be -2 + 3*1/(4/8). Suppose -5*c + 2*y + 19 = 0, 0*c - 2*c = -m*y - 14. Let f(s) = -s**2 + 9*s - 12. What is the least common multiple of f(6) and c?
6
Suppose -2*c - 3 - 7 = 0. Let s be ((-6)/(-10) - 2/c)*3. Calculate the lowest common multiple of 6*s*3/18 and 24.
24
Let a(g) = g**3 + 5*g**2 + 3*g + 2. Let n = -510 - -514. Suppose 0*t = 5*t + 4*l - 72, 0 = n*t - 2*l - 68. What is the lowest common multiple of a(-2) and t?
16
Let p(c) = -13*c - 478. What is the smallest common multiple of 119 and p(-37)?
357
Suppose 13*t - 2 = 11*t + 4*j, 2*t = -5*j - 43. Find the common denominator of (-2468)/(-170) + t - (1 - -4) and 22/45.
765
What is the common denominator of (34/(-5))/(128/(-50)) and ((-1448)/64 + -4)*((-6)/504 - 0)?
224
Suppose -f + 3*f = 8. Suppose 1441 = -13*z - 1315. Let t = 216 + z. Calculate the least common multiple of f and t.
4
Let b be 2/(-6)*3 + 0. Let y be b*4/4*-5. Suppose -i = -10 + y. Calculate the lowest common multiple of i and 9.
45
Let n(h) = 6*h - 7. Let d(w) = 7*w - 6. Let v(s) = 5*d(s) - 6*n(s). What is the smallest common multiple of ((-9)/((-270)/40))/(2/120) and v(10)?
80
Let h(g) = 4*g - 1. Let p be ((-3)/2)/(36/(-24)). Let c be h(p). Suppose -l - c*w + 2 = -2*w, -5*l = w - 10. What is the lowest common multiple of l and 7?
14
Let k(x) = -x**3 + 16*x**2 - 29*x + 19. Suppose 5*r + 4*j = r + 56, 0 = r - 3*j - 14. Calculate the lowest common multiple of k(r) and 5.
5
Let x = 261/275 - 30077/8800. Let f = 13945439/274050 + -20594/675. Let o = f + -825/29. What is the common denominator of o and x?
224
Let k(w) = -4*w**3 - 59*w**2 + 15*w + 3. What is the smallest common multiple of k(-15) and 5572?
16716
Let k = -7590347/4176 + -55/4176. Let g = k + 1812. Let i = -130/3 + 51. Find the common denominator of i and g.
24
Let l = -60701/31 - -1959. Find the common denominator of 10 + (3423/18)/(-7) and l.
186
Let i = 7635/6606292 - 2/2651. Find the common denominator of i and -127/7120.
49840
Let s(c) = c**2 + 2*c + 1. Suppose -2*v + 6 + 12 = 0. Suppose -v + 12 = g. Calculate the lowest common multiple of 12 and s(g).
48
What is the common denominator of (-246)/600 + (-9)/30 + 533/910 and -83/252?
6300
Let p be (216/(-32))/(1/(-4)). Suppose 0*g = u - 5*g - p, 0 = 2*g + 10. What is the smallest common multiple of 12 and u/(-1)*((-25)/2 + 2)?
84
Suppose 2*q - 82 - 62 = 5*x, 4*q = -3*x + 288. Suppose 3*o - 9*o = -q. What is the lowest common multiple of 48 and o?
48
Suppose 0 = 739*n - 770*n + 19747. Calculate the smallest common multiple of 882 and n.
11466
Suppose -32*o + 30*o - 8 = -2*a, -o = -3*a + 8. Find the common denominator of -19 + -24 - (o - -9) and 55/386.
386
Suppose 3*j - 202 = -31*v + 30*v, 2*v - 336 = -5*j. Calculate the common denominator of 301/j - (-50 - -53) and 3/56.
952
Let x(q) = q**2 - 3*q + 5. Let s be x(4). Let y = 21 - s. Let c(l) = 10*l**2 - 3*l - 32. Calculate the lowest common multiple of y and c(-4).
420
Suppose 2*u + 213 = 2*m - u, 3*m - 282 = -3*u. Let s = m + -95. Suppose s*g + 4*a + 4 = 20, 0 = -4*a - 20. Calculate the least common multiple of 8 and g.
72
Let x = 33 + -11. Let f be (2689/(-8))/((-2)/x). Let d = f - 3705. Find the common denominator of 13 and d.
8
Suppose 3*g - 121 = 59. What is the least common multiple of 22 and g?
660
Let f = 11/261 + -23339/2610. Let i = -458/5 + 83. What is the common denominator of f and i?
10
Let o = -37111 - -1113497/30. Calculate the common denominator of o and 1*227/90 - 1.
90
Suppose o - 3*i = -o + 51, 36 = o + 2*i. What is the smallest common multiple of (6/o)/(8/40) and 1?
1
Suppose -4*z + 32 = -2*s, 3*z = -0*s + 4*s + 29. Let i = -3 + z. Let k(a) = -a**3 - 13*a**2 + 6*a + 15. Calculate the smallest common multiple of k(-14) and i.
508
Suppose 436*d - 438*d = -4*r + 20, -r + 5*d = -32. Calculate the smallest common multiple of 3962 and r.
3962
Suppose t = -4*f + 341, -1306*f - 5*t = -1310*f + 311. What is the lowest common multiple of 616 and f?
1848
Let x be -4*(-37)/(-2) - 3. Let d = -84 - x. Find the common denominator of d/(-14) + (-14)/40 and 95/8.
40
Let x be (-1)/((-1)/7) - 1. Let o be (-2)/x - (1 + (-5235)/(-117)). Let u = o + 7173/130. What is the common denominator of u and -55/3?
30
Let m be (-1447 - -11)*(-3)/30. Let g = m + -9419/65. Find the common denominator of g and -65/6.
78
Let u be (-506)/(-44)*(-24)/231. Let w = -386/77 - u. Find the common denominator of w and -19/4.
44
Let q(j) = -5*j**2 - 103*j + 126. Calculate the lowest common multiple of q(-21) and 315.
1260
Let v = 12047 + -10288. What is the smallest common multiple of v and 2?
3518
Suppose -3*p - 5*l - 4918 = -10*l, 1638 = -p + l. Suppose -2*f + 5*d = f - 40, -4*f = -d - 42. What is the lowest common multiple of f and (-48)/408 + p/(-34)?
240
Let r(u) = -u**2 + 14*u - 27. Let o be r(11). Suppose -o*q + 2*q = 56. Calculate the common denominator of -79/36 and (-1)/(312/3254) - q/(-91).
36
Suppose 15*n - 4*n = -2499266. Let c = n - -314225879/1383. Let g = c - 113915/63618. What is the common denominator of 41/12 and g?
276
Let f(l) = l + 9. Let y be f(-5). Let q be (y/4)/((-3)/(5*-3)). Calculate the lowest common multiple of 2 and (2 - q)*(-30)/9.
10
Let s = -13792 - -16202. What is the smallest common multiple of s and 15?
7230
Suppose 2*j - 2*t - 8 = -0*t, t - 5 = 0. Let i = -40 - -56. Calculate the least common multiple of (i - -3) + (-2)/2 and j.
18
Let x = 120521 + -15908851/132. Calculate the common denominator of 31/172 and x.
5676
Calculate the common denominator of (558/(-1222020))/((-1)/(-237)) and 109/1606.
8030
Calculate the common denominator of 69/2288 and ((-5807)/8580 - (-15)/20) + 92/(-690).
11440
Let q(g) = -g - 14. Let h be q(-10). Calculate the common denominator of 2904/(-1440) + (-2)/h*10 and 68/15.
60
Calculate the smallest commo