/j + 2692/504.
72
Let b = 129 - 219. Let v be -28*(-5)/10 - -6. What is the common denominator of -54/5 and (-473)/(-63) + v/b?
35
Suppose -5*g + g = -88. What is the smallest common multiple of g and (640/440)/(8/44)?
88
Suppose 0 = 2*r - 3*u + 21 - 133, 4*r - 3*u = 224. Calculate the lowest common multiple of 6 and r.
168
What is the common denominator of 52/87 and 25285/(-3640) - 3/7?
696
Let q(y) = -y**3 + 10*y**2 + 8*y + 24. Calculate the least common multiple of q(8) and 252.
1512
Let z = 48/445 + -47171/45390. Calculate the common denominator of 23/60 and z.
1020
Let p be -1 + (-2)/2 + 0. Let f(i) = 7 - 2*i**3 - i**2 + 8 + 7 - 24. What is the lowest common multiple of 5 and f(p)?
10
Let p = 20 + -15. Let j(n) = -2*n**2 - 3*n - 7. Let z be j(p). Calculate the common denominator of -1/8 and (-3)/(-9) - (-825)/z.
8
Let y = -316295/196752 - -14/4099. Find the common denominator of 109/(-48) + (-1)/(-3) and y.
48
Suppose -2*w + 4*o = -208, -o = -2*w + 155 + 47. Calculate the least common multiple of w and 75.
300
Suppose 3*j + 3 = 0, 0*u = -4*u + 2*j - 1466. Let n = u - -1882/5. Let t = -3/83 + -305/747. Calculate the common denominator of t and n.
45
Let w be 106/(5/((-5)/(-2))). Suppose 0 = -4*j - w - 135. Let h = -31 - j. What is the least common multiple of 10 and h?
80
Let u be (-44)/(-1)*(-9)/12. Let v = u - -28. Let y = -2 - v. Calculate the least common multiple of y and 9.
9
Let w be (-3 + -1)*12*(-2)/2. Suppose 5*k + 2*u - 11 - 197 = 0, 0 = -k - 2*u + w. What is the least common multiple of 1 + 2 + 4 + -2 and k?
40
Let r(h) = -h**2 - 7*h + 8. Suppose 0*d - 22 = 5*v - 4*d, 0 = -3*v - 4*d - 26. What is the lowest common multiple of r(v) and 44?
308
Let c be -3 + 11 - (-1 + 5). What is the smallest common multiple of 40 and (-336)/(-21) + c/2?
360
Let z = 308549655 - 734348166353/2380. Let x = 74/119 - z. Find the common denominator of x and 31/16.
80
Suppose 10*x - 8*x - 3*k = 10, k - 15 = -3*x. Suppose x*n = r + 32, -5*n + 38 = -7*r + 3*r. What is the smallest common multiple of 20 and n?
60
Let z = -1/2817 + -216905/11268. What is the common denominator of -51/106 and z?
212
Let v(y) = -16*y - 14. Let i be v(-7). Suppose -7*f + i + 154 = 0. What is the least common multiple of 12 and f?
36
Let w = 4362/5 - 60693/70. Let m(f) = -f**2 - 3. Let p be m(-4). Calculate the common denominator of 2 + (p/24)/(-1) and w.
168
Let p = 13 - 9. Suppose s + 5 = 2*u, -2*s + 7 = p*u - 15. Suppose -m + 24 = 4*g - 5*m, -u*g + 9 = -m. Calculate the least common multiple of g and 2.
2
Suppose -5*t + 60 = -5*w, -w + 0*w = -5*t + 60. Calculate the common denominator of (t/(-80)*2)/((-6)/135) and -37/5.
20
Let q = 9613 - 9475. Let z = 0 + 3. Calculate the smallest common multiple of z and q.
138
Let n = -2 - -12. Suppose 13*s - 9 = 14*s. Let y = s + n. Calculate the lowest common multiple of y and 7.
7
Suppose -31 = -y - 4*n, 2*y - 4*n = -25 + 75. Let p(r) = -r**2 + 17*r - 3. Let q be p(13). Let t = q - y. Calculate the least common multiple of t and 20.
220
Let q = -435 + 623. Calculate the least common multiple of q and 14.
1316
Suppose 0*g = -4*g - 72. Let c be ((-804)/g)/(44/(-18)). Let p = c + 3871/198. What is the common denominator of 31/14 and p?
126
Let i = -140 + 378. What is the smallest common multiple of 10 and i?
1190
Let j(k) = 3*k**2 - 54*k - 17. Let f be j(17). Let z = -60 - f. Let d(s) = s**2 - 4*s - 2. Calculate the least common multiple of z and d(6).
40
Suppose 0 = -0*f - 4*f - 28. Find the common denominator of 83/(-2)*f/77 and 4/10 + (-6)/(-8).
220
Let n = 1769/77 + -164/7. Let l be 15265/22899 - (-2)/(-3). Let t = -2358587/228990 + l. Find the common denominator of t and n.
110
Suppose 0 = -23*q + 19*q - 20. Calculate the common denominator of 37/27 and ((-6)/q)/(45/100).
27
Suppose q - 4*n = -4*q + 152, q - 37 = 3*n. Suppose 3*k = -k + 4*v + q, 4*v + 4 = 0. Suppose -k*p - 15 = -9*p. Calculate the lowest common multiple of p and 7.
35
Let t = -17/46 - 807/368. What is the common denominator of t and 635/(-35)*(-14)/(-60)?
240
Find the common denominator of -11/96 and (3 - (-47)/(-14))*244/(-20).
672
Let w = 18 + -24. Let j(v) = 6*v + 21. Let z be j(w). Calculate the common denominator of (z/(-2))/((-48)/(-104)) and -87/20.
20
Let c(d) = -d**2 + 11*d + 2. Let x be c(11). Suppose 0 = -x*r - q - 5 + 16, -q = -2*r + 17. Calculate the lowest common multiple of r and (-3)/(-1)*(-1)/(-3).
7
Let r = 3 - 2. Suppose -3*l + 18 = h, 4 = 6*h - 3*h - l. What is the lowest common multiple of h and r?
3
Suppose 44*o - 1281 = 259. What is the least common multiple of 160 and o?
1120
Let q(y) = -y**2 - 13*y + 3. Let r be q(-16). What is the lowest common multiple of (-168)/(-10) - (-36)/r and 16?
16
Let r = 2/3243 + -295121/12972. Let c = 819/10 + -9613/120. Find the common denominator of r and c.
24
What is the common denominator of 45/68 and (-452)/(-8) - (0 - -9)?
68
Let i(b) = -b - 3922. Let z be i(0). Let a = -86217/22 - z. Find the common denominator of a and -77/20.
220
Let y be (-2 - 2) + -4 + -4 + 13. Find the common denominator of 29/40 and y/(2/16 + (-1674)/4944).
440
Let i(o) = -13*o**3 - o**2 + 12*o + 16. Calculate the smallest common multiple of i(-2) and 24.
552
What is the smallest common multiple of 26 and ((-2863)/(-14) - -10)*6/9?
286
Let v(r) = 3*r + 3. Let f(m) = -5*m - 8. Let x(z) = -6*f(z) - 11*v(z). What is the smallest common multiple of 12 and x(-3)?
24
Let x = -71919 + 543491882/7557. Let r = x - -130997/68013. Calculate the common denominator of 11/24 and r.
216
Let z = -5177 + 31153/6. Suppose 216 = -m - 45. Calculate the common denominator of z and (-2)/8 + m/108.
6
Let y be (-33)/(-11) + 10/(-4)*-40. Let j = 165 - y. Calculate the lowest common multiple of 14 and j.
434
Let q be (-8)/(-1) - 1*2. Let m = -3611 + 21587/6. Calculate the common denominator of (q/(-2))/(9/(-58)) and m.
6
Calculate the common denominator of (19/285)/(6/100) and 97/24.
72
Let u be (65/(-2))/(7/14). Calculate the common denominator of 17/14 and 21*u/90*1.
42
Let a(b) = b**3 - 11*b**2 + 10*b + 2. Let y be a(10). Calculate the least common multiple of 11 and 4 + 0 - y - -4 - -2.
88
Let x be 2*-11*(-2803)/20. Let f(m) = -14*m**3 - 3*m**2 + 10*m - 6. Let k be f(6). Let h = k + x. Calculate the common denominator of 95/2 and h.
10
Let r(c) = 4*c**2 + 20 + 13 - 5*c**2 + 13*c. What is the least common multiple of 2 and r(14)?
38
Let h(n) = 3*n**3 - 5*n**2 + 4*n - 6. What is the lowest common multiple of 30 and h(5)?
1320
Let w(a) = a**3 + 12*a**2 + 10*a - 12. Let f be (-3)/4 + 205/(-20). Let s be w(f). What is the least common multiple of 2 and s*2/((-2)/9)?
18
Calculate the common denominator of 2/25 - 7836/(-1800) and 37/48.
240
Calculate the smallest common multiple of 21 and -1 + (-1615)/(-38) + 2/4.
42
Suppose 6*m - 8*m = 5*d - 197, -5*m = d - 458. Calculate the lowest common multiple of 13 and m.
91
Let l be -2*(0 - 15/(-6)). Calculate the common denominator of (-70)/(-20) - 1*2 and (97/l)/(8/20).
2
Let t(z) be the second derivative of -z**3/6 - 15*z**2/2 - 32*z. What is the lowest common multiple of 9 and t(-25)?
90
What is the common denominator of ((-62)/(-10) - 8)/(8/(-25)) and ((-87)/10)/((-64)/(-20))?
32
Let j = -120 + 125. Let c = -5 + 10. Calculate the smallest common multiple of c and j.
5
Let r be 4/((-16)/(-876)) + (1 - 4). Suppose -r = -10*p + 44. Calculate the smallest common multiple of p and 8.
104
Let n(j) = 3*j**2 + 9*j - 42. Calculate the least common multiple of n(-6) and 106.
636
What is the lowest common multiple of (-6)/(-27) + (-716)/(-18) and 8?
40
Let m = 6 + 3. Let b be (-26)/(-117) - 257/m. Let x = b + 27. Calculate the common denominator of x and 5/6.
6
Calculate the common denominator of 103/20 and (-1356)/(-120)*-1 - -5.
20
Suppose -q = -4*k - 5, 3 = -q - 5*k + 8. Suppose q*g + 7 = 22. What is the lowest common multiple of 9 and g?
9
Suppose -5*w + 3 = -157. Suppose 0 = -3*c - 5*u - 1, 0*c + c = 5*u + 33. What is the least common multiple of c and w?
32
Let g(x) = x + 4. Let w be g(-5). What is the common denominator of (-165)/(-36) - w/(-3) and -3*1 - ((-1827)/90 + 6)?
20
Let s(k) = -484*k - 19. Let i be s(8). Let t = -46589/12 - i. Find the common denominator of -67/8 and t.
24
Let t(g) = g**2 - 15*g - 30. W