?
80
Suppose 3*z + 17 = 2*j, j - 3*j - z = -21. What is the smallest common multiple of j and 18?
90
Let n = -19757 - -8248. Let o = n - -207059/18. Let y = 146/43 + -3465/172. Find the common denominator of o and y.
36
Let q = 655997/60 - 10933. Calculate the common denominator of q and -31/18.
180
Suppose q - 184 = 3*o, 7*o - 750 = -4*q + 12*o. What is the least common multiple of 10 and q?
190
Suppose 0 = -5*c + 12 + 38. Suppose -26*b + 44 = -24*b. What is the smallest common multiple of b and c?
110
Suppose 2*u - 7*u = -10. Let j be (-1)/(u/(-4)*-7758). Let l = j - -228866/19395. What is the common denominator of 17/10 and l?
10
Suppose 0 = -u - k + 3, k + 9 = 2*u - 0*u. Let j(m) = -4 + 2 - 2*m + 3*m + 1. What is the lowest common multiple of u and j(19)?
36
Let g = 2034 - 10221/5. Let v = 494 + -3140. Let b = v + 7870/3. Calculate the common denominator of b and g.
15
Let h = -608/23 - -18487/782. Find the common denominator of 137/24 and h.
408
Let q = -3233/6 + 557. Let i be (1/(-2))/((-3)/6). Calculate the common denominator of q and 69/(-108) - i/4.
18
Let x be (-2)/4*(-20)/2. Suppose -3*d + x*d - 92 = 0. What is the least common multiple of 3 and d/8 + (-3)/(-12)?
6
Let n be 1/(-2)*(-262)/22. Let q = n - 815/99. Let l = 14501/154 + -669/7. Find the common denominator of l and q.
198
Let t(p) = -14*p + 2. Let l be t(4). Let z = 1/2980 - -101309/32780. Calculate the common denominator of z and l/30*(-90)/8.
44
Suppose -27*h + 301 = -459 + 4. What is the lowest common multiple of ((-3)/(-4))/((-2)/(-24)) and h?
252
Let n(h) = 2*h - 17. Let b be n(13). Let x(v) = 5*v + 2. Let t be x(b). Suppose -2*l - 3 + t = 0. Calculate the smallest common multiple of 12 and l.
132
Let a = -21867/14 + 1563. What is the common denominator of 292/(-8) + (18 - 14) and a?
14
Calculate the common denominator of -161/330 and 5/(-50) - (-68)/1275.
1650
Let j = 7 - 5. Suppose -7*y + 40 = -j*y. Let v(z) = z**2 + 2*z + 7. Calculate the least common multiple of y and v(0).
56
Suppose 0 = 2*q, 2*s - 76 = -2*s + q. Let v = -2002 + 2899. Find the common denominator of (v/13)/(s - -1) and 101/2.
20
Calculate the common denominator of (54/168)/(36/399) and -139/84.
336
Let f = 49655/8 - 6215. Let q = -5318 - -117057/22. What is the common denominator of q and f?
88
Let k = -6895 - -55077/8. Find the common denominator of k and 17/16.
16
Let j = 1334 - 29267/22. Let x = 7 - 9. Find the common denominator of 1/(16/(-158)) + x and j.
88
Suppose -3*c + 14 = -0*c - 4*g, -2*g = 4. Suppose 4*a - 48 = -4*x, 39 = 3*x + c*a + 6. Calculate the smallest common multiple of (-3)/(-2)*(-20)/(-3) and x.
90
Let t = 30 - 42. Let c = t - -3. Let a = c - -17. What is the smallest common multiple of 1 and a?
8
Let t = -9626 - -423571/44. Calculate the common denominator of -75/68 and t.
748
Let s(y) = -23*y - 5. Let z be s(7). Let n = z + 256. Find the common denominator of 19/5 and 12/n - 518/(-165).
55
What is the least common multiple of 15 and 4/30 + (-1878)/(-90)?
105
Let m = 14 + -34. Let g = -18 - m. Suppose h + 10 = g*h. What is the lowest common multiple of 10 and h?
10
Let w(t) = -8 - 3 - 8 - 2*t + 9. Calculate the least common multiple of 6 and w(-7).
12
Calculate the common denominator of 30/(-4)*(-22)/(-160) and (-14)/4*1155/588 - 2.
32
Let h be -1459*(1 + 0 + 0). Let b be -5 - -2 - h/5. Let s = b + -287. Calculate the common denominator of s and 14/13.
65
Suppose 0 = -5*q - 7 - 18. Let f be q/(-2)*(-57 + 17). Find the common denominator of 5/(f/194) - 1 and -53/16.
80
Let z(d) = -d**2 - 5*d - 2. Let n be z(-4). Let f be n/(4/14 - 0). Suppose -3*h = f - 25. Calculate the lowest common multiple of h and 10.
30
Let j = 95 - 86. Suppose -30 = j*f - 14*f. Calculate the lowest common multiple of f and 8.
24
Suppose -d + 48 = 4*s, -2*d + s + 8 + 52 = 0. Calculate the smallest common multiple of d and 9.
288
Suppose 29*z = 37*z + 11*z - 114. Let r = 23 - 7. What is the smallest common multiple of r and z?
48
Calculate the common denominator of 73/20 and 2 - ((-1 - -2) + 62/(-32)).
80
Let n be 566/6 + (-2)/6. Suppose 2*f = 26 + n. Suppose -h = 3*h + f. Calculate the common denominator of h and 91/4.
4
Let v = 15001/6 + -2487. Let b = -31 - -16. Let f = -61/2 + b. What is the common denominator of v and f?
6
Suppose -o + 33 = -y, o + 0*o - 5*y = 21. Find the common denominator of -55/2 and (-2)/o*(-177 - 6).
6
Let r = -1863894 - -22342517/12. Let w = r + 2019. Find the common denominator of w and 137/(-6) + -2*1.
12
Suppose 0 = 25*r - 1033 - 17. Suppose -a - 11 = w + 4*a, 0 = -2*w - 2*a + 2. What is the least common multiple of w and r?
84
Find the common denominator of -43/18 and (-410)/80*(-8)/3.
18
Find the common denominator of (-6)/28*(-126)/12 and 71/28.
28
Suppose -2*i + 192 = 4*x - 2*x, -2*x = -i - 183. What is the least common multiple of x and 15?
465
Let v be ((-5)/(-10))/((-12)/662). Let j = 869/20 + v. Let r = j - 6/5. What is the common denominator of -33/2 and r?
6
Let h = 1317 - 1297. Calculate the smallest common multiple of h and 22.
220
Let a(p) = -2*p**3 + 2*p**2 + 3*p - 2. Suppose -4*h + 12 = 2*v, 0 = -5*v - 6*h + h + 35. What is the smallest common multiple of v and a(-2)?
16
Let k(q) = 9*q**3 + 10*q + 28 - 2*q**2 - 24 - 8 + 4*q**3. What is the smallest common multiple of 1 and k(2)?
112
Let n(y) = 7*y + y - 14*y. Let a be n(-5). Suppose -4*s + a = k, -6*k = -k - 4*s - 78. What is the smallest common multiple of k and 12?
36
Suppose -8*j - 55 = -71. What is the smallest common multiple of 146 and j?
146
Let f = -4/9 - 125/63. Find the common denominator of f and ((909/(-15))/3)/((-16)/(-40)).
14
Let b = -1671901466435/28 + 59622887599. Let l = b - -87894420. Let x = l - 15358. What is the common denominator of x and -107/20?
140
Suppose -2*n - 5*u = -1508, -n - n = -5*u - 1548. Let r = 6941/9 - n. Find the common denominator of -5 and r.
9
Let n be ((-704)/80)/((-2)/(-40)). Let q be 2/6*(-5838)/n. Let b = q + -2/11. Calculate the common denominator of -41/20 and b.
40
Let x(a) = a**2 + 11*a - 403. What is the least common multiple of x(-29) and 42?
714
Let g be ((-1)/(-8))/(1/(-5386)). Let i = g + 654. Let s = 9277 - 74119/8. Find the common denominator of i and s.
8
Let m(a) = -a + 11. Suppose 0 = -8*j + 3*j - 25. What is the lowest common multiple of 10 and m(j)?
80
Let x be -2*1*9*24/(-3). What is the common denominator of -53/12 and (-780)/x*(-6)/8?
48
Let n(a) = -a**3 + 7*a**2 - a - 5. Let i = 12 + -6. Let q be n(i). Suppose -5*v + 65 = q. What is the lowest common multiple of 18 and v?
72
Suppose -10*v = -531 + 201. Calculate the smallest common multiple of v and 27.
297
Suppose 0 = 2*z - 2*n - 8, 0 = 5*z - 0*z - 4*n - 22. Calculate the lowest common multiple of 8 and z.
24
Let j(t) = t**3 + 7*t**2 + 6*t - 3. Let s(l) = -l + 1. Let z be s(7). Let w be j(z). Find the common denominator of ((-9)/(-4))/(w/18) and -87/22.
22
Calculate the common denominator of -16/39 and 2252/(-816) - (-15)/12*1.
663
Suppose -3*i - 2*x + 420 = 0, 4*x = -5*i + 296 + 404. Calculate the least common multiple of 84 and i.
420
Let u = 101 + -63. Calculate the common denominator of 11/(-44) + u/72 and 69/14.
126
Let r(y) = -5*y**2 + 84*y - 13. Calculate the least common multiple of r(16) and 153.
153
Calculate the common denominator of -43/360 and 731/(-17)*4/(-2520).
2520
Let i(k) = -k**3 - 6*k**2 + k + 8. Suppose -3*t + 30 = 9. Let b = t + -13. Calculate the lowest common multiple of 6 and i(b).
6
Let j be -5 + 4 + (-6)/2. What is the common denominator of 19/9*-3 + -3 and 214/(-8) + j/(-16)?
6
Calculate the common denominator of 36/49 and (-3400)/360*6/(-28).
294
Suppose -2*d - 3 - 3 = 0. Find the common denominator of 107/18 and d + 68/(-9) + 3.
18
Let z(r) = r**3 + 16*r**2 - 36*r + 26. Let h be (-1)/(20/15)*24. What is the lowest common multiple of z(h) and 22?
286
Let v = -451/10 - -334/15. Calculate the common denominator of (5/(-125))/(10/2975) and v.
30
Find the common denominator of 2/44*4473/315 and 272/(-224) + (-2 - 1).
770
Let t(q) = q**3 + 12*q**2 - 15*q + 10. Let d be t(-13). Suppose -w - d = -4*w. What is the least common multiple of w and 4?
12
Let b be (166/(-6))/((-2)/6) - -1. Suppose -b = -3*d - d. Calculate the smallest common multiple of 33 and d.
231
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