pose -40 = 3*r + 2*r. Let y = r - -14. What is the smallest common multiple of y and 5?
30
Let t = 3710/13 + -7063827/24752. Let v = t + 67591/1904. What is the common denominator of v and 39?
2
Let x = -14906/7 + 2126. Let u = -55 + 130/3. Calculate the common denominator of x and u.
21
Let y(p) = -2388*p**2 - p - 1. Let g be y(-1). Let h = g + 9465/4. Calculate the common denominator of (2/16)/((-32)/912) and h.
16
Let c = -7 + 4. Let k = 203239/22 - 9234. What is the common denominator of 310/(-96) - (-1)/c and k?
176
Let b = 88279/26750 - 2/13375. Find the common denominator of (-1)/4 - (-178)/88 and b.
110
Let d(v) = -v**2 + 7*v - 1. Let b be d(6). Suppose -21 = c + 5*s, 6*c - 3*s = 2*c + 31. Calculate the least common multiple of (20/6)/(b/15) and c.
20
Let f be 0 + (6/(-8))/((-2)/(-24)). Calculate the lowest common multiple of 12/(-18)*f/6 and 5.
5
Let p = 1868 + -1085. Calculate the common denominator of p/(-48)*(-12)/9 and 482/(-72) + (-5)/(-20).
36
Let g = -1 - 1. Let t(s) = 8*s + 37. Let v be t(-5). What is the common denominator of -28/3 and (v/9)/(g/(-3))?
6
Let p = 56492/45 + -1256. What is the common denominator of 10/7 and p?
315
Suppose -4*r - 8*k = -7*k - 420, -8 = -2*k. What is the lowest common multiple of r and 13?
104
Let q(z) = -z**3 - 15*z**2 - z + 7. Let p be q(-15). Suppose -4*j = 2*h - 20, -h - j + p = -3*j. What is the least common multiple of 10 and h?
80
Let u(l) = 0 + l + 7*l**2 + l**3 - 3*l + 12 - 4. Calculate the lowest common multiple of 12 and u(-7).
132
Suppose 0 = 2*r - 365 - 311. Let j = 623/2 - r. What is the common denominator of -89/38 and j?
38
Let q = -242561/24 - -10112. Find the common denominator of q and -73/40.
120
Let d = 475/18 - 647/24. Find the common denominator of -53/24 and d.
72
Suppose w + w = -10, 2*f = 2*w + 38. Let o = 13 + -3. What is the smallest common multiple of o and (-176)/(-18) + f/63?
10
Suppose -5*w + 52 = 3*d, 5*d - w + 2*w - 72 = 0. Suppose 6*b - 7*b = -g + 10, -g - b + 14 = 0. What is the lowest common multiple of g and d?
84
Find the common denominator of 19/((-741)/558)*1/20 and 71/117.
1170
Let c(w) = -33*w + 468. Calculate the smallest common multiple of 40 and c(12).
360
Let r be (-2 - -1)*15/(-5). Suppose 3*o - 99 = 2*j - 5*j, -3*o + r*j + 81 = 0. Let x = -12 + o. What is the least common multiple of x and 16?
144
Let r be 3 + 0 + 3 + 8346. Let q = -83601/10 + r. What is the common denominator of q and -4 - -7 - 22/(-24)?
60
Let o = 4174613/138 + -30251. Let v = 11170/23 - 486. Let c = v - o. Find the common denominator of c and 29/18.
18
Let c = 0 - 14. Let r = 5 + c. Let n(m) = -m**3 - 10*m**2 - 11*m - 10. Calculate the least common multiple of n(r) and 6.
24
Let p be ((-9)/(-6))/(43/2). Let a = -147/32134 - -14919393/5527048. Let s = a - p. Calculate the common denominator of 1/19 and s.
152
Suppose f - 14 = 48*v - 47*v, 3*f - 41 = 4*v. Let n(y) = -9*y - 3. Calculate the lowest common multiple of f and n(-2).
15
Let z = 105 - 1253/12. Find the common denominator of 67/12 and z.
12
Suppose -15 = -0*l - 5*l. Suppose -5*y + l*k = -49, -k - 53 = -8*y + 3*y. Let s = -15 - -21. Calculate the smallest common multiple of y and s.
66
Suppose -2*i + 12 = i + 3*y, 0 = 4*i - 4*y - 40. Suppose -3*l - 2*n + 12 = 3*n, -2*n + 20 = 5*l. What is the least common multiple of l and i?
28
Let i be 168436/(-80) + 1/2. Let f = -8453/4 - i. Calculate the common denominator of -23/8 and f.
40
Let k = 1873/1232 - -9/176. Let u = 113/63 - k. What is the common denominator of u and 29/6?
18
What is the common denominator of -73/24 and (-584)/20*(-5)/(-4)?
24
Let n = -7936 - -5581. Let y = 1191 + n. Let c = y + 27961/24. Calculate the common denominator of c and 95/16.
48
Let y(m) = -2*m + 2. Let x(v) = v**2 + v. Let j be x(-2). Suppose 3*n - 9 + 35 = 4*z, j*z - 18 = -n. What is the smallest common multiple of z and y(-4)?
40
Suppose 4*q = -4*f + 76, 5*q + 85 = 7*f - 3*f. Let j = 36 + -31. What is the smallest common multiple of j and f?
20
Let z = -131102/3 - -17046551/390. Let h = 33/13 - z. Calculate the common denominator of -59/9 and h.
90
Suppose 8 = -4*s + 5*w, 0 = -2*w + 5*w - 12. Let j(t) = -t**2 + 31*t + 411. Calculate the smallest common multiple of s and j(-10).
3
Suppose 0 = z + 4*q - 21, 0*q - 2*q = -z - 9. Suppose -5*c + 3*o = -358, 5*o - 19 = z. What is the common denominator of c/(-22) + (-7)/7 and 43/12?
132
Let u(p) = 3*p**2 - 6*p + 6. Let q be u(1). What is the common denominator of 89/90 and -4 + ((-81)/(-4) - 4 - q)?
180
Let g(f) = -36*f**2 - 3. Let y be g(-3). Find the common denominator of (1 - 2) + 450/24 and y/(-8)*(-4)/9.
12
Let l(k) = -k**2 + 4*k + 7. Let p be l(5). Suppose 0 = -p*c + c + 9. Find the common denominator of 0 - c*14/8 and -18/11.
44
Let g = -4913 - -196509/40. Calculate the common denominator of -143/96 and g.
480
Let c be 2/(-2) + 65842/12. Let f = 10393 + -15893. Let i = f + c. Find the common denominator of i and -83/24.
24
Suppose -5*n - 29 = 271. Find the common denominator of 39/10 and (3/n)/((-24)/690).
80
Let d(q) = 27*q**2 - 2*q - 3. Let m be d(-2). Suppose -3*s = 3, -2*x = 2*s - 3*s - m. Calculate the common denominator of 8/9 and (-7)/(-140)*x/1.
90
Let k = 15087/4 + -3753. Find the common denominator of k and -7/48.
48
Suppose -3*m + 49 = -38. Let i = m - 0. Calculate the least common multiple of i and 6.
174
Suppose 30 = -5*m - 10. Let p = 2863/305 + -35/122. Calculate the common denominator of p and ((-12)/(-90))/(m/(-1370)).
30
Let r(s) = -20*s + 186. What is the least common multiple of r(3) and 60?
1260
What is the smallest common multiple of 22 and 348/203*28/3?
176
Suppose 5*s - 10 = 140. Let v = -1867/2416 + -6/151. Let k = 41/80 + v. Find the common denominator of k and s.
10
Suppose n = 3*b + 241 - 97, -5*b + 120 = n. What is the smallest common multiple of 150 and n?
1350
Suppose 63*j - 61*j + 242 = 0. What is the common denominator of (6/(-48))/(6/j) and -95/12?
48
Suppose 8 = 2*i - t, 4*i - 29 - 3 = -2*t. Let s(w) = 2*w**2 + 4*w - 6. What is the least common multiple of s(-5) and i?
24
Let f be (-2)/(-9) + (-104)/(-18). Calculate the common denominator of 166/72 + f/(-27) and -95/2.
12
Let t = 176/7 + -2195/84. Find the common denominator of -69/40 and t.
840
Let q = -234 - -947. Let j = -2210/3 + q. Calculate the common denominator of -119/6 and j.
6
Let f be 28517/(-6) - (-6)/12*8. Let y = 4733 + f. What is the common denominator of y and -64/27?
54
Suppose 4*r = r + z + 77, 0 = 4*r - 3*z - 96. What is the lowest common multiple of r and 33?
297
Suppose 17*y + 16*y - 3168 = 0. What is the least common multiple of y and 4?
96
Let m be 1 + -5 + 8 + -6. What is the least common multiple of 4 and (510/75)/(m/(-10))?
68
Let l = -35251/195 - -909/5. Find the common denominator of l and -56/3.
39
Let r be 30/(-5) + 0 + 0. Let m(n) = -n**3 - 6*n**2 - 8*n - 2. Calculate the lowest common multiple of 9 and m(r).
414
Let j(u) = 4*u**2 + 6*u + 2. Let h be j(-6). Suppose -4*t + h = -6*t. What is the common denominator of -25/4 and (t/77)/((-4)/34)?
28
Let g(s) = -2*s - 15. Let q(y) = -y - 17. Let c be q(-6). Calculate the smallest common multiple of g(c) and 1.
7
Let p be (-2 + 4 + 1)*(-8)/(-3). Calculate the least common multiple of 4 and (-7)/(-28) + 62/p.
8
Suppose -10 = 10*u - 15*u. Suppose -u*n - 2*n + 2*o = -58, -4*o = -12. What is the lowest common multiple of 24 and n?
48
Let z(j) = -j**3 + 7*j**2 - 7*j + 9. What is the lowest common multiple of z(6) and ((-81)/108)/((-1)/56)?
42
Suppose -5*o = -4*l + 28, 0*o - 5*o = -2*l + 14. Let q = -1/522 + 11620/2871. Calculate the common denominator of (-633)/210 + (-2)/l and q.
110
Let z = -729/20 + 226/5. What is the common denominator of 9 + (5 - 169/16) and z?
16
Suppose -258*i + 265*i - 357 = 0. Calculate the lowest common multiple of i and 18.
306
Let r be ((-2)/32)/((-19)/(-17814)). Let c = -909819/209 - -47121/11. Let u = r - c. Find the common denominator of 91/12 and u.
24
Let k = -21127649/162 + 130417. Calculate the common denominator of k and -91/108.
324
Let c = 95531/1092 + -1143/13. Calculate the common denominator of c and 49/72.
504
Suppose -12 = -5*c + 9*c. Let w be ((-3)/12)/(c/(-12)). Calculate the smallest common multiple of (-15)/5 - 7*w and 2.
4
Let s(m) = 10*