01 - u. Calculate the common denominator of r and -8/9.
45
Suppose 2*v = 42 - 22. Suppose 2*d + 4 = 36. Calculate the lowest common multiple of (1/(-2))/(v/(-80)) and d.
16
Let b = -51002 + 17493745/343. Find the common denominator of b and -27/10.
3430
Suppose 10 = -2*t + 4*t. Let f be (((-2246745)/(-22))/t)/3. Let n = f + -6805. What is the common denominator of 83/8 and n?
88
Suppose -z + 1 + 21 = 0. Let s(i) = i + 6. Let r be s(-6). Suppose -4*o + 29 + 19 = r. Calculate the lowest common multiple of o and z.
132
Suppose 13*v = 6*v + 14. Calculate the smallest common multiple of 4 and (-9)/(-18)*(v + 22).
12
Let r(w) = -103*w - 47. Let n be r(-17). Let c = n + -20461/12. What is the common denominator of -83/210 and c?
420
Let f = -716 + 5021/7. Find the common denominator of f and (-1 - 18)/((-44)/1).
308
Let y = -2/679 - -7479/3395. Find the common denominator of 16/35 and y.
35
Let j = 18 - 32. Let g = -8 + 2. Find the common denominator of j and (-4)/g*(-117)/18.
3
Suppose 80 = -3*q + 5*q. Calculate the least common multiple of q and 9 - (-2 + (-30)/(-5)).
40
Let l = 23 + -13. Suppose 14 = y - 26. Calculate the least common multiple of y and l.
40
Suppose 512 = -10*q + 482. What is the common denominator of q and 37/20?
20
Suppose 6*i + 3*z - 180 = 3*i, 0 = 3*i - 5*z - 180. What is the lowest common multiple of 498 and i?
4980
Suppose 29*d + 604 = 33*d. Calculate the common denominator of d/(-6)*(-25)/(-75) and -101/20.
180
Let a be -4*1/(-1)*(-1)/1. Let i(q) = -5*q - 16. Calculate the least common multiple of 14 and i(a).
28
Suppose -1408 = -70*t + 6*t. What is the lowest common multiple of 1370 and t?
15070
Suppose -38*j = 7*j - 2700. Calculate the smallest common multiple of 165 and j.
660
Let d = 31 - 0. Let n = d + -26. Suppose -5*h = 2*p + 11, 3*p = -n*h - 26 + 2. What is the common denominator of -46/9 and p?
9
Suppose -406 - 62 = -13*z. What is the lowest common multiple of z and 6?
36
Let a(o) = -3*o**2 - 3*o + 6. Let t be a(-5). Let l be 821319/t - (-3 + 4). Let p = l - -15219. What is the common denominator of p and 55/6?
18
Let b = 227977/12 + -18987. Find the common denominator of -49/4 and b.
12
Let n = 813649/115 - 7075. Calculate the common denominator of n and 17/10.
230
Suppose -47 = -4*l + 1. Suppose v + 139 = u, 5*v - 220 - 93 = -2*u. What is the least common multiple of u and l?
144
Let p = 2/1903 + 108443/26642. Find the common denominator of p and (219/(-108) - -2)/((-10)/(-402)).
420
Let x(n) = 337*n**2 + n. Let c be x(1). Suppose d - c = 17. Let y = d - 2847/8. Find the common denominator of y and 43/7.
56
Find the common denominator of 56/9 and (-16)/(-27) + (-4 - (-64)/12).
27
Suppose 246*x - 1032 = 332*x. Let s = -27217/726 - 4/363. Find the common denominator of x and s.
2
Let f = -5094537545042581/46510 - -109536390997. Let n = f - -1/4651. Find the common denominator of n and 1/2.
10
Let k = 132 - 123. What is the lowest common multiple of k and ((-54)/(-4))/((-15)/(-20))?
18
Let g be 73*((-12)/(-4))/(-3). Let s = 102 + g. What is the lowest common multiple of s and 5?
145
Let k(s) be the first derivative of s**3/3 + 3*s**2 + 28*s - 28. Calculate the lowest common multiple of k(-4) and 42.
420
Calculate the common denominator of ((-190)/48)/(15/50*-5) and 89/44.
396
Let f = 39 - 0. Calculate the smallest common multiple of f and 27.
351
Let o = -42678872296/46375515 + 25/1030567. Let u = o - -4642/5. Calculate the common denominator of (-650)/322 + 2/(-7) and u.
207
Let w(y) = 3*y**3 - 14*y**2 + 12*y - 14. Calculate the lowest common multiple of w(4) and 136.
136
Let n be -1 + 6/(-9)*15. Let j = 19 + n. Suppose 4 = q, -r + 3*q = -0*q. What is the least common multiple of r and j?
24
Let t(o) = -9*o + 1. Let j = -8 - -7. Calculate the smallest common multiple of t(j) and 12.
60
Let l(t) = -52*t + 4. Let b be l(-2). Let k = b + -98. What is the smallest common multiple of k and 31?
310
Let s = -651 + 671. Calculate the least common multiple of s and 60.
60
Suppose -4*x + 9*x = 0. Let q = 5 + x. Suppose q*p - 5*w - 42 = -2*w, -p + 8 = -w. What is the least common multiple of p and 1?
9
Let l = 78 - 52. Let x = -14 + l. Let m = 14 - x. What is the smallest common multiple of m and 10?
10
Suppose 13*p - 7*p + 78 = 0. Find the common denominator of (-31)/p + -3 + -1 and -34/5.
65
Calculate the common denominator of 1/4 - 24675/4116 - -6 and 2/11.
1078
Let b = -178 - -348. What is the common denominator of 29/30 and (-2)/(-5) - (413/b + -1)?
510
Suppose -a + 66 = -3*q - 0*q, 5*a = -5*q + 290. Calculate the lowest common multiple of 48 and a.
240
Let z = -1127 - -11291/10. Find the common denominator of z and 8/3.
30
Suppose 4*c + 3*y = 127, -2*c + 3*y + 21 + 20 = 0. Suppose 0*z - 43 = -2*t + z, 0 = -2*t + 4*z + c. What is the smallest common multiple of t and 4?
24
Let x be (3/(-9))/(15/9 + -2). What is the common denominator of -31/66 and (-146)/60 + 1*(x - 3)?
330
Suppose f = -4*r + 9*r, 5*r + 15 = -2*f. Let c(a) = -6 - 3*a - 4 + 3. Calculate the smallest common multiple of 2 and c(f).
8
Suppose -406 = 34*d - 48*d. Find the common denominator of d and 4/10 + 277/20.
4
Let x = 16 - 16. Suppose -2*a - 4*n = 168, -2*n - 232 = 3*a - x*n. Let z = a - -46. What is the common denominator of z and 87/8?
8
Let r(s) = 15*s + 3. Let n be r(-5). What is the common denominator of -13/18 and (146/n)/(4/12)?
36
Find the common denominator of -25/12 and 68/(-6)*30/(-80).
12
Let v = 17033/3311 + -224/43. Find the common denominator of v and 17/21.
231
Let m(a) = -a**2 - 7*a + 21. Let s be m(-9). What is the common denominator of 1/s + (-191)/15 and 1/3?
15
Suppose -17*v + 15*v + 18 = 0. Calculate the lowest common multiple of v and 15.
45
Let m = -379 + 1495/4. What is the common denominator of 9/224 and m?
224
Find the common denominator of 54/19 and 1060/1520*(-20)/(-65).
247
Suppose 0 = z + 5*z - 24. Calculate the common denominator of 7/8 and z + (-140)/48 - -1.
24
Let g = -589/15 - -173/5. Suppose -d - 514 = 4*d - b, -4*d = -b + 412. Find the common denominator of ((-3)/3*1)/((-33)/d) and g.
33
Let s(q) = -56*q**2 + 2*q - 1. Let p be s(1). Calculate the least common multiple of (10/6)/(2/12) and (-2)/(-4 + 14)*p.
110
Let p = 106 - 26. Suppose -p = -2*f - 3*f. Let a = -3 - -7. What is the lowest common multiple of f and a?
16
Suppose 18 + 2 = 10*v. What is the common denominator of 95/16 and ((-5)/v)/((-938)/70)?
1072
Let v be (-1 + -182)*(-15)/9. Let a = -947/3 + v. Let i = -2303/249 + -7/83. What is the common denominator of i and a?
3
Suppose 4*k + 17 = 69. Suppose -k = z + 11. What is the common denominator of (-141)/4 + (-1)/(-4) and z?
1
Let h = -20672 - -454863/22. What is the common denominator of -103/10 and h?
110
Let y(t) = -t**3 - 7*t**2 + 18*t + 2. Let i be y(-9). Suppose 0 = 3*c - 3*h - 19 + 1, i*c + h = 3. What is the lowest common multiple of 3 and c?
3
Suppose 4*b - 17 = 23. Let i(t) = -t**3 - 15*t**2 - 10*t - 20. Let p be i(-14). Calculate the lowest common multiple of b and (78/(-8))/(-3) + (-57)/p.
20
Let n be 0/(-2) + -1 + 879557/(-84). Let m = -10461 - n. Find the common denominator of -93/16 and m.
48
Let u(x) = -x**2 + 18*x + 22. Let p be u(16). Let r = -38 + p. What is the least common multiple of r and 18?
144
Suppose 4*g + 0*g = 100. Let o(v) = -v**2 - 12*v - 12. Let z be o(-9). Let a = g - z. What is the smallest common multiple of 8 and a?
40
Let y(p) = p + 4. Let a(w) = w + 9. Let c = -29 - -20. Let f be a(c). What is the lowest common multiple of y(f) and 2?
4
Let n be (-2 - 1) + (8 - 3). Suppose -k - 147 = -5*b + 74, n*b - 92 = 4*k. Suppose -b = -3*i + i. What is the smallest common multiple of i and 20?
220
Let t = -1037 - -8307/8. Find the common denominator of 33/10 and t.
40
Let n = 971 - 967. Suppose -3*r = -3*h + 12, -r + 14 = 3*h - 3*r. What is the lowest common multiple of n and h?
12
Suppose 2*g = 5*x - 12 - 21, -3*x - 5 = 5*g. Suppose -5*v + 15 = 0, x*w + 3*v = -0*v + 199. Calculate the least common multiple of 6 and w.
114
Find the common denominator of (7161/220)/(-21) - (-6)/16 and -23/4.
40
Let i = -531 - -551. Let r(o) = 16*o**2 - 6*o - 6. What is the smallest common multiple of r(-4) and i?
2740
Calculate the common denominator of (210/175)/(54/(-100)) and 95/72.
72
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