+ 1. Let d(j) = j**3 + 5*j**2 + 3*j. What is the smallest common multiple of r and d(o)?
8
Let o(v) = 5069*v**3 + 4*v + 3. Let s be o(-2). Let n = 244775/6 + s. Let g = n - 752/3. Calculate the common denominator of 103/12 and g.
12
Let i = -2275249/300036 + -2/25003. What is the common denominator of i and 21/32?
96
Suppose -46 = 4*o + 18. Suppose 0 = -3*u + 2*r + 68, 0 = 2*u + 3*r - 22 - 45. Let q = o + u. Calculate the smallest common multiple of q and 8.
40
Suppose t - 72 = -3*t. Suppose 3*m = -3 + t. Suppose -f + 2*v = f - 32, -88 = -m*f + v. What is the lowest common multiple of 8 and f?
72
Calculate the least common multiple of (-7 + 2 - -34) + -5 and 18.
72
Calculate the common denominator of ((-2)/50)/(-1 - 5190/(-5150)) and -9/218.
2180
Let i(j) = -j**3 - j**2 + j + 3. Suppose -p = -1 - 5. What is the smallest common multiple of i(-3) and p?
18
Let k be (-18)/3*2/(-12). Suppose -8*t = -49 + k. Calculate the least common multiple of 33 and t.
66
Suppose 2 = 4*b + 4*v - 6, 5*v = -2*b + 7. Calculate the smallest common multiple of b*((-4)/14)/(13/(-182)) and 18.
36
Let y = -146215/17 + 8598. Let x = 825 - 1721/2. What is the common denominator of y and x?
34
Let m = 82/5 + -413/25. Find the common denominator of 68/35 and m.
175
Let h = 47/54 + 1/216. Let a = 8673/4 - 2186. Find the common denominator of h and a.
8
Let c(f) = -f**3 - 9*f**2 - 13*f + 10. Let o be c(-7). Calculate the common denominator of ((-12)/8 + o)*94/30 and 37/3.
30
Let n = 2244815/124 + -18104. What is the common denominator of n and 85/44?
1364
Let x be 8035/(-2679) - 42/(-14). Let y = -163451/42864 + x. Calculate the common denominator of 37/8 and y.
16
Let y = -190 - -194. Let k(n) = -n - 2. Let z be k(-8). Suppose -64 = 2*s - z*s. What is the smallest common multiple of y and s?
16
Suppose -3*u + 17 = 11. What is the common denominator of ((-666)/24)/(4 + u) and 188/(-80) + (-4)/10?
8
Let t(m) = m + 17. Let b(h) = h**3 - 12*h**2 - 13*h - 11. Let k be b(13). What is the lowest common multiple of 16 and t(k)?
48
Let p = 107 + -781/8. What is the common denominator of (55/28*6)/(-3) and p?
56
Suppose 4*i = -8, -5*v = 5*i - 2*i - 29. Calculate the lowest common multiple of 15 and (6 - 3) + v - 4.
30
Let r = -320/17 - -7235/136. Let x = -23 + r. Calculate the common denominator of -111/10 and x.
40
Let a = 850/27 - 11551/270. Let g = -4718/3 + 1589. What is the common denominator of a and g?
30
Let i = -83 + -7. What is the common denominator of -43/12 and ((-603)/i)/(0 - -1)?
60
Let j = -91/2 + 53/6. Let x be 4/6*334/(-8). Let g = x - j. What is the common denominator of 58/3 and g?
6
Let s = 128/253 + 72/23. What is the common denominator of -22/49 and s?
539
Let b be 1/(-5) - (-33)/(-30). Let a = -599/30 - b. Calculate the common denominator of 49/18 and a.
18
Suppose 5*c - 6*p - 114 = -8*p, 12 = -4*p. What is the smallest common multiple of c and 20?
120
Suppose 0 = 5*i - 0*i + 80. Let r = 20 + i. What is the common denominator of ((-4)/110)/(r/(-125)) and 25/22?
22
Let a(u) = u**3 + 7*u**2 + 2*u + 10. Let b be a(-8). Let s = 115 + b. Find the common denominator of -63/40 and (5/3)/(20/s).
40
Calculate the smallest common multiple of 36 and (3*(-112)/24)/(1/(-2)).
252
Suppose 7*a - 13 = -6*a. Suppose 4*p + 0 = 8. What is the smallest common multiple of p and a?
2
Let f = -551/9 - -1511/36. Calculate the common denominator of f and 2/3 - (2 - (-67)/(-6)).
12
Let h = -4778/1199 - -38/109. Find the common denominator of -48/29 and h.
319
Suppose r - 16 = 5*b, -6 = -3*r - 5*b + 42. Suppose -26 - 14 = -5*l. Calculate the smallest common multiple of r and l.
16
Let y = -11096 - -111047/10. Let q = 15/4 - 17/10. What is the common denominator of y and q?
20
Let l = 15 - -2. Suppose 5*b + 4*s - 158 = 0, -5*b + 164 = -0*b + 2*s. Calculate the smallest common multiple of b and 2*(3 + l)/2.
340
Let b(l) = 2*l + 3*l**2 - 1 + 2 + l - 5*l. Calculate the common denominator of b(1) and -7/2.
2
Suppose 0 = -5*s + 4*i + 4 - 31, -3*s + 3 = 4*i. What is the common denominator of 56/9 and s/144*(2664/(-15))/6?
180
Let y = -280957/28 + 10030. Let j = -1280 + 12813/10. Find the common denominator of y and j.
140
Suppose t = 26 + 14. Let k = -34 + t. What is the lowest common multiple of 15 and k?
30
Let v(z) = z + 25*z**2 - 22*z**2 + 1 - 2*z - z**3. Let r be v(2). Suppose -r*b - 6 = -30. Calculate the least common multiple of 10 and b.
40
Let c = 1/445491 + 5305352311/3563928. Let t = 1483 - c. What is the common denominator of t and 53/36?
72
Suppose -3*r = -36 + 108. Find the common denominator of (-6)/r + 125/12 and 12/5.
15
Suppose 2*a - 26 = 4*z, -3*a - 3*z + 0*z = -75. Suppose 4*o + 4*c - 128 = 0, 0 = 2*o - 9*c + 4*c - 71. What is the least common multiple of o and a?
231
Let u = 4595251/3568026 + -1/54061. Calculate the common denominator of -43/2 and u.
66
What is the common denominator of 1 - -11 - (-4459)/(-234) and 37/68*-1*1?
612
Let l(s) = 4*s + 25. Let j be l(-5). Suppose j*u + 63 = 8*u. Calculate the least common multiple of u and 9.
63
Suppose 20 = 2*r + 2*s, r + 4*r - 32 = 4*s. Let w be ((-12)/r)/(6/56). What is the lowest common multiple of (-5)/(-20) + w/(-8) and 20?
20
Suppose 3*o = -o + 392. Let f = 125 - o. What is the least common multiple of f and 42?
378
Suppose -j - 16 - 9 = -5*z, -25 = 3*j - 5*z. What is the smallest common multiple of 10 and j + 12 + (-9 - -5)?
40
Let n(v) = -v**3 + 8*v**2 - 13*v + 105. Calculate the least common multiple of n(8) and 30.
30
Let g be ((-10)/(-50))/(298/(-48)). Let f = -57173/5960 + g. Let v = -96835/12 - -8077. Calculate the common denominator of v and f.
24
Calculate the common denominator of (-2 - (-875)/63)*6/8 and 3/(-2)*(-989)/(-552).
48
Let j be (0 + (-57)/(-2))*1506/(-108). Let y = 398 + j. What is the common denominator of -43/58 and y?
348
Suppose -73 = -3*m - 5*z, 6*z - 34 = -2*m + 10*z. What is the lowest common multiple of m and 39?
273
Let p(i) = i - 39. What is the smallest common multiple of p(44) and 349?
1745
Let n be 376/12 - (-2)/(-6). Suppose n = 4*l - 13. Let j = l - 9. Calculate the least common multiple of j and 11.
22
Let c = -340 - -354. What is the smallest common multiple of 119 and c?
238
Let v = 58607/48 + -3650/3. Calculate the common denominator of v and 83/40.
80
Let r be 1/(4*1/28). Let p be 4/(0 + -4) - r. What is the common denominator of -31/14 and (-566)/(-60) + p/(-12)?
70
Let p be (-55)/(-30) - (-1)/6. Suppose -5*f + 37 = j, -1 + 0 = f + 3*j. What is the least common multiple of f and 117/6 - 3/p?
72
Let p(n) = 0*n**2 + 3*n**2 - 19*n - 2 - 13*n**2 - n**3. Calculate the least common multiple of 54 and p(-8).
594
Suppose -21*w = 14*w - 350. Let y(s) = s**3 + 4*s**2 - 7*s. Let d be y(-5). Let h = d + -4. Calculate the least common multiple of w and h.
30
Let q = -9 - -26. Let j = -9 + q. What is the lowest common multiple of j and (4/8)/(6/48)?
8
Let r = 94972 + -30486088/321. What is the common denominator of r and 2/33?
3531
Suppose 4*p - q + 5*q = -32, -5*p + 3*q - 8 = 0. Find the common denominator of 64/10 - (-2)/p and -81/4.
20
Let v(a) = -15*a**2 + 54*a - 9. Let h(u) = 3*u**2 - 11*u + 2. Let o(m) = -24*h(m) - 5*v(m). Let q = 12 + -6. What is the smallest common multiple of q and o(3)?
6
Calculate the common denominator of 69/2 and (4/(-48))/(564/279 - 2).
8
Let h(k) = 7*k**2 + 12*k + 11. Suppose 4*p - 3*s - 65 = 0, -p + 30 = 2*s - 0*s. Calculate the lowest common multiple of h(-1) and p.
60
Let z = -62 + 122. What is the common denominator of 3 + 28/22 - (-1 - -2) and (-4)/10 - (-1294)/z?
66
Calculate the common denominator of (-9)/(-108)*-3 - (-725)/(-660) and -40/121.
726
Let d(f) = -f**3 + 9*f**2 + 10*f + 14. Let t be -1 + -2*(-7)/2. Let z be 9 - -1 - (6 - t). Calculate the lowest common multiple of d(z) and 12.
84
Let g = 99 + -100. Find the common denominator of g/1 + 326/36 and 33/20.
180
Let x = 2/15797 + -331871/1058399. What is the common denominator of -8/9 and x?
603
Suppose -8 = 6*k - 8*k. Let v(h) = -2*h - 1. Let o be v(k). Calculate the common denominator of -47/11 and (-6)/o + 38/(-48).
88
Let p = -2 + 9. Let n = 21 - p. Let s(m) = 2*m**2 - 5*m + 3. Calculate the lowest common multiple of n and s(3).
42
What is the common denominator of -41/4 and 3198/25155 + 4/1