(-51) + 65/33.
165
Let d = 5/471 - -14501/9420. Calculate the common denominator of d and 127/120.
120
Let y = 21688/45 - 482. Calculate the common denominator of -93/520 and y.
4680
Let r(h) = 2*h + 20. Let x be r(-7). Suppose -7*b - x*b = -65. What is the lowest common multiple of 16 and b?
80
Suppose 5*n = 4*j + 4*n - 95, 2*j + 4*n = 52. Suppose 4*p - 72 = j. Suppose 5*k + k = p. What is the smallest common multiple of k and 5?
20
Let v = 2335153/12 + -194725. Let f = 587/4 + v. Calculate the common denominator of ((-3)/(-132))/((-6)/(-108)) and f.
66
Suppose -81*m = -59*m - 2508. Calculate the lowest common multiple of 152 and m.
456
Let j(f) = 1. Let t(w) = w**2 + 8*w + 6. Let c(d) = 4*j(d) - t(d). Let k be c(-7). Find the common denominator of -29/3 and (-8)/k - 1/(-2).
30
Suppose -7*l = -11*l - 24. Let z(i) = 35*i**2 - 4*i + 2. Let m be z(4). Calculate the common denominator of (-4)/l - m/(-36) and 22.
6
Let w(o) = -o**3 + 17*o**2 - 2*o + 6. Let p be w(17). Let t = 34 + p. What is the smallest common multiple of 24 and t?
24
Calculate the common denominator of 48 and ((-2 - 70) + -1)*6/(-48).
8
Let x = 75839/57924 + -6/1609. Let f = -4994/5 - -39921/40. Calculate the common denominator of x and f.
360
Find the common denominator of 89/20 and (12/(-54))/(20/177).
60
Let m be (12/8)/(-3)*0. Suppose m = -15*k + 12*k + 144. What is the least common multiple of k and 14?
336
Let g = 1495/2 + -738. Find the common denominator of (-1341)/6*(-1)/(-162) and g.
108
Let n be (-6)/8 + (-368822)/8. Let v = n - -47100. Let w = v + -1042. Calculate the common denominator of w and 113/20.
20
Let l be (-6)/(-20)*14305/(-10). Suppose -12 = -3*v, 3*a - 5*v + 446 = 2*a. Let i = a - l. Find the common denominator of i and 5/6.
60
Let w(d) = 216*d**2 + 2*d. Let y be w(-1). What is the common denominator of (-6 + (-63)/(-14))/((-36)/y) and -139/24?
24
Let s(a) = 2*a**3 - 6*a**2 + a - 4. Let r(m) = m**3 + 17*m**2 + 2*m + 38. Let y be r(-17). Calculate the smallest common multiple of 32 and s(y).
32
Suppose l + 8 = 33. Let t = l + -17. Calculate the least common multiple of 20 and t.
40
Suppose 4*i - f = 117, -3*i = -4*i + 4*f + 33. Suppose 0 = -8*l + i - 5. Let s = -15 + 26. What is the least common multiple of l and s?
33
Let n = 6581/20 + -333. Calculate the common denominator of -75/32 and n.
160
Let t = 704 - 3498/5. Let c = -21599588446 - -425058301121928/19679. Let y = 6/1789 - c. What is the common denominator of t and y?
55
Let b = -24 - -27. Let p = -357 - -361. Calculate the least common multiple of b and p.
12
Let w = 14 + -12. Let g(q) = q**2 - 4. Calculate the lowest common multiple of g(-3) and 0 + (0 + w - -7).
45
Calculate the common denominator of 43/15 and ((-182)/(-65)*(-260)/(-432))/(-1).
270
Let r = 129163/111338 - 280/311. Calculate the common denominator of r and 3/16.
2864
Let s = 195 - 168. Calculate the least common multiple of s and 21.
189
Let a = 892 - -86. What is the smallest common multiple of 6 and a?
978
Let v(n) = 31*n**2 + 3*n + 2. Suppose 2*o - m + 17 = -4*m, -4*o - 14 = 2*m. What is the least common multiple of v(o) and 15?
30
Let a = 893 + -31253/35. Find the common denominator of a and (-7)/((-35)/(-9))*4/6.
35
Let b = 10/11 - -85/88. Find the common denominator of -143/12 and b.
24
Let z be 2/7 - 720/(-28). Let c = 21 - 11. Suppose -6*f + c = -z. What is the smallest common multiple of f and 20?
60
Let q be (-1 - 1)*(-2)/4. What is the common denominator of q/(-5) + (-2093)/560 and (-2)/(-9) - (-791)/(-126)?
144
Suppose -2 = -w - 1, 0 = 4*b + 4*w - 4. Calculate the common denominator of 59/18 and 3/45*(-1 + b - 18).
90
Let l = 40 + -24. Suppose l*b = 13*b + 6. What is the lowest common multiple of 3 - 3 - (-15 - -1) and b?
14
Let b = 222 - 459/2. Let n(d) = 2*d**2 + 20*d + 14. Let g be n(-9). Find the common denominator of b and (3/(-32))/(g + 531/132).
8
Let u be (-6)/(-18) + 1/((-1)/1067). Let o = -1047 - u. Find the common denominator of o and 47/12.
12
Let i = -14890/9 - -1649. What is the common denominator of 16/120 + (-8)/((-9880)/(-1053)) and i?
171
Let a = -146 + 154. Calculate the least common multiple of a and 38.
152
Let c(w) = 348*w**3 + w**2 + 5*w - 4. Calculate the smallest common multiple of 60 and c(1).
2100
Suppose -3*a + 0*a - 3*k = -84, a + 4*k - 40 = 0. Let x be (a/14)/((-9)/(-63)). Calculate the smallest common multiple of 3/(-16)*-4*x and 3.
9
Let k be 2/(-8) - (-67325)/12. Let j = 5593 - k. Calculate the common denominator of j and (6/90)/(4/(-185)).
12
Let k = -88045/8 - -11018. Find the common denominator of k and 4/(-6)*14/52.
312
Let o = -48007355567/34739390 + -2/2481385. Let v = 1381 + o. What is the common denominator of v and -57/22?
154
Suppose g = 6*g - 20. Calculate the lowest common multiple of ((-38)/57)/(g/(-42)) and 3.
21
Let d = 160159/14 + -11432. Calculate the common denominator of -13/8 and d.
56
Let k(n) = n**2 + 86*n - 1623. Calculate the smallest common multiple of (2/1)/((-2)/(-4)) and k(-102).
36
Let p(z) = -z**2 + 11*z - 26. Let m be p(18). Let l = m - -176. What is the lowest common multiple of l and 12?
24
Suppose 5 = -4*k + 29. Find the common denominator of ((-189)/k)/(5*-1) and (51/(-272))/((-3)/(-2)).
40
Let f = -4155/11 - -376. Find the common denominator of f and 18/84*-34*(-175)/(-500).
220
Let c = -1 + 7. Let w = c + 16. Suppose 3*h + 3*i = 9, 24*h = 20*h + 4*i + 20. Calculate the smallest common multiple of h and w.
44
What is the common denominator of -10/21 and ((-3)/(-2))/((-1155)/(-320))?
231
Suppose 3*g = 2*g + 14. Suppose -2*t = -5*m + 44, -31 = -4*m + t + 2*t. Let d = 14 - m. What is the smallest common multiple of g and d?
28
What is the lowest common multiple of 52 and ((-16)/(-34))/4 + 540/34?
208
Let g(l) = l**3 + 13*l**2 - 2*l - 18. Let r be (-24)/10*(-6400)/15. Let v be r/(-80) - 1/5. Calculate the lowest common multiple of g(v) and 6.
24
Suppose 5 = -4*x - x. Let b = -9 - x. Find the common denominator of 65/6 and ((-11)/10)/(b/(-48)).
30
Suppose 4*n - 115 = -2*l + 133, -n - 1 = 0. Suppose 6*d - l = -3*d. Calculate the least common multiple of 2*(21/2)/3 and d.
14
Suppose 45 = -27*r + 32*r. Calculate the smallest common multiple of 78 and r.
234
Suppose -i - 5*q - 32 = -5, -3*i - 4*q = 26. Calculate the lowest common multiple of 31 - (2 + -1 + i) and 12.
96
Let f = -15 + 17. Let r be (-42)/(-28) - 11/f. Find the common denominator of 40/11 - (r + 3) and -21/8.
88
Let w(v) = -v**3 - 13*v**2 + 19*v + 77. What is the least common multiple of 555 and w(-14)?
3885
Let s(x) = -3*x + 2 - 2*x + 3*x + 3*x. Let v be s(4). Calculate the lowest common multiple of -2*v*1/(-4) and 1.
3
Let m = -17053/6 + 2829. Find the common denominator of 39/29 and m.
174
Let c = 14113/2070 + -328/207. Find the common denominator of c and -67/20.
60
Suppose 2*h - 5 = h. Suppose 2*v - 50 + 44 = 0. Suppose v*f - 3*d - 6 = 0, -5*f + 4*d - 10 = -10*f. Calculate the least common multiple of h and f.
10
Let v = 92350 + -7203449/78. What is the common denominator of v and -94/15?
390
Let m(a) = 7*a - 30. Let n be m(9). What is the common denominator of 67/3 and n/(-438) + (-3)/(-6)?
219
Suppose 2*h = 3*u - 178, 0 = -3*u + 4*h + 216 - 46. What is the smallest common multiple of u and 22?
682
Let w = -2/453 + 19036/2265. Calculate the common denominator of 4/6 - ((-24)/(-16) - 3) and w.
30
Calculate the common denominator of 4/(-28)*-1 + 3252/(-1400) and 57/40.
200
Let n = -5509/5 - -1106. Let i = 8/231 + -25721/2310. What is the common denominator of n and i?
10
Suppose 3*j + 0*f = -f + 46, 4 = -2*f. Suppose -j*i + 99 = -5*i. What is the smallest common multiple of 7 and i?
63
Let v = 17771/14 - 1271. Let x be 1/(-18)*29555166/(-26). Let n = -63150 + x. What is the common denominator of n and v?
546
Suppose -19 = 2*t + 4*d + 1, 0 = 2*t + d + 5. Let l = 0 - t. What is the smallest common multiple of 9 - (l/(-4) - -2) and 6?
42
Let f(w) = w**2 + 3*w + 1. Let c be f(-4). Let v = 11 + c. Calculate the smallest common multiple of v and 36.
144
Let q = -18 + 28. Let j = 0 - -25. Let z = j - 3. Calculate the least common multiple of q and z.
110
Let h = -13 + 18. Suppose -3 = 4*z - l + 5, h*z + 3*l = -27. Find the common denominator of (-279)/(-6) - z/3 and 19/11.
22
Let i be 1520/(-28