
Let s(v) = -v**3 - 3*v + 3. Let x be s(0). Suppose -3*t + 84 = 3*r - 4*t, -x*r + 96 = -5*t. Calculate the lowest common multiple of r and 36.
108
Let f(m) = m**2 + 5*m - 4. Let q be (-10 - -9)/(1/7). Let p be f(q). Find the common denominator of 95/6 and 341/10 + (-6)/p.
6
Let w(m) = -2*m**3 + 19*m**2 - 6*m - 22. What is the smallest common multiple of 15 and w(9)?
15
Let v = -147 + 237. Calculate the common denominator of 124/279 - (-779)/v and -17/3.
30
What is the common denominator of 510/(-639) + 1/(-3)*-3 and 67/4?
852
Let o(i) be the second derivative of i**5/20 + i**4/12 + 3*i**2 + i. Let v be o(0). Calculate the common denominator of (7/4)/(v/60) and 113/10.
10
What is the least common multiple of (-58)/16*-2*(-60 - -96) and 174?
522
Let i be 39/(-13)*(-4)/6. Suppose t + 5*z = -7, -2*t + 3*z - i*z + 8 = 0. Suppose 9 = 2*p - t. Calculate the smallest common multiple of p and 20.
60
Let t = 291048 + -25029293/86. Let k = 214991/43 + -4999. Let b = k + t. Calculate the common denominator of b and 99/14.
14
Suppose -7*x = -0*x - 5*x. Let s = -28/37 + -2327/592. What is the common denominator of s and ((-146)/(-14))/(-5 - -3 - x)?
112
Suppose 11*m - 440 = m. Calculate the smallest common multiple of ((-4 - 2) + 0)*-2 and m.
132
Find the common denominator of ((-40)/(-42))/(459/(-357)) and 11/93.
837
Suppose 1 = 2*i + 9. Let m = 6 + -4. What is the least common multiple of 5/(-20)*6*i and m?
6
Let y = 178/7 - 1931/63. Find the common denominator of (-304)/210 + (-2)/(-5) and y.
63
Suppose -3*v + 7*v = 812. Suppose 0 = 5*r + 7 - 2, 3*u - v = 5*r. Suppose -3*o + 0*o = -u. Calculate the lowest common multiple of o and 12.
132
Let n(v) = v**3 + 3*v**2 - 5*v - 4. Let f be n(-4). Let a = -160 + 148. Calculate the common denominator of f + -3 + 210/a and 17.
2
Find the common denominator of 67/120 and (6/28)/((-2160)/(-2394)).
240
Suppose 3*b = 2*w + 966 - 10, 2*w - 2*b + 960 = 0. Find the common denominator of -16/55 and ((-10)/(-4))/(11/(w/8)).
220
Suppose -y = -t - t, 3*y + 2*t = 0. Suppose 0 = 5*g - y*g - 20. Find the common denominator of g/10*515/44 and 61/10.
110
Suppose -3*p = -i - 29, 3*i - 4*i - 47 = -5*p. Suppose -459 = -92*x + 75*x. What is the lowest common multiple of x and p?
27
Suppose -d - 5*d = 36. Let p = d - -20. What is the smallest common multiple of p and 14?
14
Let m be -2 + (-1 - 3) + 1. Let k(i) = -45*i + 3. Let b be k(m). Calculate the common denominator of ((-3)/(-10))/((-9)/b) and -16/7.
35
Let d = -22 - -68. Suppose 117 = 6*b + 9. Calculate the least common multiple of b and d.
414
Let b(u) = u**3 + 8*u**2 + u + 6. Let d be b(-8). Find the common denominator of -32/9 and (469/(-14))/((-12)/d).
36
Calculate the smallest common multiple of (3 + 1)/((-7)/(-35)) and 55.
220
Let n = 97727/59180 + -4/2959. Let q = -33005 + 148951564/4513. Let c = -293367/99286 - q. Calculate the common denominator of n and c.
220
Let p(n) = 16*n + 10. Let z be p(4). Let j = -52 + z. Let y = j + -20. Calculate the least common multiple of y and 3.
6
Let j = 1451 - 26041/18. Find the common denominator of j and 41/24.
72
Suppose -z + 21 = 9. Calculate the smallest common multiple of 1/(((z/5)/4)/3) and 7.
35
Let x be (-1 - 0 - -23)/(-2). Let z = 21 + x. Suppose l - 6 - z = 0. What is the lowest common multiple of l and 14?
112
Calculate the common denominator of -63/10 and (-132)/32*(-117)/162.
240
Suppose -4*c + 4*m + 84 = 0, -m - 2 = m. Suppose -2*n + 8 + 32 = 0. Calculate the smallest common multiple of n and c.
20
Let t be (-75)/27 + 3 + (-29)/9. Find the common denominator of (-217)/t*(-22)/77 and 77/12.
12
Let a(y) = -4*y**3 - 3*y**2 + 5*y + 2. What is the lowest common multiple of a(-2) and 64?
192
Let s = 92901/22 - 4222. Calculate the common denominator of -17/62 and s.
682
Let u = -383/138 + -32/23. Suppose -2*q + 255 = -315. Find the common denominator of 12/(-40)*q/(-18) and u.
12
Let t = -4829 + 7551. Calculate the lowest common multiple of 14 and t.
19054
Suppose 0 = -31*g + 15*g + 80. Let a(t) = -t**2 - 4*t - 1. Let r be a(-3). Suppose -r*y + 3*y = g. Calculate the lowest common multiple of y and 7.
35
Let u = 347/35 - 36/5. Suppose 3*x = 5*i - 6 - 133, -4*i = 3*x + 94. What is the common denominator of (x/4)/1 + 0 and u?
14
Suppose 10*h - 3*v - 133 = 5*h, 4*v = 5*h - 134. Let n = h + -14. What is the lowest common multiple of n and 12?
12
Let d(j) = j**2 - 13*j - 11. Let v be d(14). Let f = v + 0. Suppose 2*k + 4 = f*k. Calculate the smallest common multiple of 5 and k.
20
Let n = 723498/23 - 31457. Let y = 613 + -436. Suppose -h = 2*q + 33, -5*h - y = -0*q + 4*q. Calculate the common denominator of n and h.
23
Suppose 75*a - 417 - 633 = 0. Let u(g) = 2*g - 5. Let r be u(5). Let p = r + 3. Calculate the lowest common multiple of p and a.
56
Suppose 226*j + 12 = 232*j. Calculate the least common multiple of 6 and j.
6
Let b = 83 + -53. Suppose -4*u + 96 - 39 = 3*x, b = 3*u - 2*x. Calculate the smallest common multiple of 1/3 + (-87)/(-9) and u.
60
Let m = -9289/37882 + 2/611. What is the common denominator of 1/5 and m?
310
Let z = 220 - 1536/7. Let y = -4156 + 29147/7. Calculate the common denominator of y and z.
7
Let l = -724 - -736. What is the smallest common multiple of l and 24?
24
Let o(f) = 876*f**2 - 11*f + 12. Let n be o(9). Let x be (-18)/(-6072)*n/33. Let s = x + -890/121. What is the common denominator of s and 59/6?
276
Let q = 2716541/245 - 11088. What is the common denominator of q and 89/4?
980
Let w = 438 + -123. What is the common denominator of 49/5 and 2/7 + 3816/w?
5
What is the least common multiple of 11/7 + -2 + 4811/119 and 20?
40
Suppose 0 = 3*f - 52 + 31. Calculate the smallest common multiple of 42 and f.
42
Calculate the common denominator of 38 and ((-3520)/135)/(-4) - 5.
27
Let r = 3 + -13. Let d(o) = -2*o - 13. What is the least common multiple of d(r) and 10?
70
Let x be 10/3 - 3 - (-2320)/6. Find the common denominator of (-3)/(-5)*(x/66 - 2) and -43/234.
2574
Calculate the least common multiple of (-103)/309 - (-841)/3 and 240.
1680
Let n be (28/3)/((-2)/27). Find the common denominator of 456/n + (4 - 1) and -16/15.
105
Let v = -88/35 + 24/5. What is the common denominator of v and 59/537?
3759
Let p be (-2)/3*6/(-4). Suppose 0 = m - 1 - p. Suppose 38 = q - 4*w, m*w - 8 + 72 = 3*q. Calculate the lowest common multiple of 14 and q.
126
Let o(n) = -n**2 + 7*n + 8. Suppose a - 9 = 6. Calculate the smallest common multiple of o(7) and 340/a + (-6)/9.
88
Let h = 673 + -1415/2. What is the common denominator of -11/12 and h?
12
Let t be (87/(-58))/((-2)/(214/(-69))). Let z = t - -4097/644. Find the common denominator of z and 29/10.
140
Suppose -6 = -5*c + 309. Find the common denominator of 13/6 and (-129)/c*2 - -4.
42
Let x(v) = 57*v**2 + 3. Let t be x(-3). Let c(w) = 26*w + 166. Let d be c(-5). What is the common denominator of 43/22 and ((-2)/d)/((-8)/t)?
132
Let a = 133/8 + -537/8. Calculate the common denominator of 61/(-20) - 1*-4 and a.
20
Let k be 63/72 + 2/16. Calculate the common denominator of k + 34/(-7) + 3 and ((-654)/(-16))/3 - 2.
56
Let n be 1 + 2 + (-602)/8. Let u = 69 + n. Find the common denominator of u and (183/(-6))/((-1)/((-2)/(-14))).
28
Let h = -38 + 84. Suppose -4*x = -2*s - 16 - h, -56 = -4*x + 4*s. Suppose -29 = -o - x. Calculate the lowest common multiple of o and 18.
36
Let r = 44077701/20 + -2198092. Let u = r + -5791. Find the common denominator of u and (3/(-45))/((-4)/715).
60
Let q = -1/39374608 - -22719153007/165018982128. Let k be (-2)/(-1) - 3050/1524. Let t = k + q. Calculate the common denominator of t and 93/28.
308
Let s be 98/(-28)*12/(-7). Suppose 17 = -s*p + 125. What is the smallest common multiple of p and 20?
180
Suppose r - y + 1 = -0*y, 5*r - 2*y = -11. What is the least common multiple of 6 and (-4 + 24)*r/(-6)?
30
Let r = -1 + 166. Find the common denominator of ((-137)/(-8))/((-12)/8) and (-6 - -1 - 0)/((-22)/r).
12
Let b = -15 - -12. Calculate the common denominator of 17/33 and 0 - (b/5 - 104/(-60)).
165
Let z = 17 + -28. Let n = z + 29. What is the common denominator of 83/4 and (n/(-20))/(30/(-85))?
20
What is the common denominator of (-534)/(-60) + 2/5 and 2478/(-595) + (6 - (-4)/(-2))?
170
Find the common denominator of -2 + 1516/