 - -11)*((-45)/(-10) + -3). Calculate the smallest common multiple of 40 and (-12)/(15/132 - w/(-36)).
440
Let h be ((-1)/(-1))/((-7)/140*2). Let u = 59 + -201/2. Find the common denominator of u and 435/(-18) - (4 - (-5 - h)).
6
Suppose -2*q - 28 - 84 = 0. Let f(x) = -x**2 - 63*x + 1428. Let u be f(-81). Let l = u - q. Calculate the smallest common multiple of l and 6.
78
Let t = -216064/45 - -4802. Find the common denominator of t and 15/(-4) - 291744/(-63360).
495
Let h(u) = 2*u - 7. Let m be h(5). Find the common denominator of -35/41 and ((-440)/(-15) - m) + (-8)/2.
123
Let z = 364/149 - 238609/92976. Find the common denominator of z and -121/84.
4368
Let f be 8*5/(-10) - -7. What is the common denominator of -89/28 and 4 + f/(-9) + -3?
84
Let j be (-49664)/30*(-5)/3. Let r = -8778 - -6012. Let h = j + r. Find the common denominator of h and 75/4.
36
Let d(i) be the third derivative of 0*i - 18*i**2 - 17/3*i**3 + 0 + 1/12*i**4. What is the lowest common multiple of d(23) and 48?
48
What is the least common multiple of 413 and (-177)/(-15)*-5*-21?
1239
Let q be (-69788)/(-8)*(-1 - -3). Let x = q - 279249/16. Calculate the common denominator of x and (-16 - 287/(-14))/(1 + (-8)/3).
80
What is the common denominator of 22/531 and (18/(-20) - -1) + (-150556)/203760?
2124
Suppose 6*a = 2038 + 608. What is the least common multiple of a and 245?
2205
Let r be (-21894)/(-36990) + 3/(-5). Let o = -47245/2466 + r. Calculate the common denominator of 15/2 and o.
6
Suppose 4*y = -3*k + 40, -2*y = 2*k - 0*y - 24. What is the common denominator of ((-70)/49)/(k/(-18)) + 4 and -61/80?
560
Let f be 0 - (-4 + 1 + -3). Suppose 5 = -5*y - 2*u + 11, 4*u - 12 = -y. What is the lowest common multiple of (4 - y) + (f - 8) and 10?
10
Let q = 6/11 - 15/88. What is the common denominator of q and -41/6404?
12808
Let y(v) be the second derivative of 0 - 17*v - 1/20*v**5 + 1/3*v**4 + 0*v**2 + 1/6*v**3. What is the smallest common multiple of 4 and y(2)?
20
Let y(v) = -v**2 + 5*v + 6. Let p(b) = b + 1. Let u(q) = -p(q) + y(q). Let i be u(8). Calculate the lowest common multiple of 30 and (1 + i/6)*-6.
210
Let l(g) = 44*g + 40. Let x be l(2). Let p = -124 + x. Suppose -5*u + 136 = -u. What is the least common multiple of u and p?
68
Let a = -18524 + 56275909/3038. Let h be -3 - (-1)/((-33418)/(-59274)). Let i = a + h. Calculate the common denominator of i and -151/6.
66
Suppose -2*u - 13 = -i, 0*i + 54 = 5*i + u. Let j(r) = -r**2 + 5*r + 139. What is the lowest common multiple of j(-7) and i?
55
Suppose 39*g = 41 + 76. Suppose 0 = u + 5, 7*s = 8*s - g*u - 23. What is the smallest common multiple of s and 188?
376
Let p = 26/7843 - -35659/19999650. Calculate the common denominator of p and 93/22.
28050
What is the common denominator of 5/2 and ((-28)/(-982))/(-24 + 3712/145)?
1964
Suppose -1 = s + 5*a - 21, 0 = 3*s - 2*a - 9. Suppose -9*m + s*m - 64 = 0. Calculate the lowest common multiple of (-2)/(-6) + m/(-24) and 50.
50
Let q be (6 - 5) + (2 - (-1073)/105). Let i = q + 4/35. Find the common denominator of i and 71/15.
15
Let d(z) = 5*z**2 + 180*z - 2120. What is the smallest common multiple of 341 and d(11)?
5115
Let a = 892 + -862. Calculate the lowest common multiple of a and 60.
60
Let d = -2718667/5313786 - -4/30539. What is the common denominator of -49/26 and d?
2262
Suppose 5*y - 95 = -3*q, 4*q = -4*y + 44 + 24. Calculate the common denominator of -8/5 and ((-92)/(-69))/(y/21).
55
Find the common denominator of 32/(-112) - (-363)/42 and -93/308.
308
Let v = 1194 - 1198. Let o(n) = n + 0*n**2 + 21 - 4*n**2 + 5*n**2. What is the smallest common multiple of o(v) and 3?
33
Calculate the least common multiple of 12 and (1098/24)/(33/704).
2928
Let v = -402 - -403. Calculate the common denominator of 127/66 and 2/(-36)*56 - v.
198
Suppose 544*j = 280*j + 792. Let a(k) = 8*k - 1. Let s be a(-4). Let q = -3 - s. What is the lowest common multiple of j and q?
30
Let c = 168456995/18 + -9355448. Let u = -3273 + c. Find the common denominator of u and 5/13.
234
Let i(o) = -28*o**3 - 14*o**2 - 52*o + 12. Calculate the lowest common multiple of i(-3) and 18.
2394
Suppose 2*b - 6 = -b, -14 = -2*u - b. Suppose -3*p - u = 3*p. What is the least common multiple of 5 and -3 - (4 - 11) - p?
5
Let v(a) = 7 - 2*a + 9*a - 6*a + 21*a. Let p be v(2). Suppose -p = -3*c + 3*r + 39, r = -c + 38. What is the least common multiple of c and 12?
204
Suppose 278*t + 28*t - 2783376 = 0. Calculate the smallest common multiple of t and 36.
27288
Suppose -4*s + 5*s = 40. Calculate the common denominator of 1 - (354/s + -2) and -2 + (-1 - (-79)/10).
20
Let y(g) = 68*g**3 + 5*g**2 + 80*g - 154. What is the smallest common multiple of y(2) and 160?
9120
What is the common denominator of -49/26 and 4637/(-3000) - 80/36*(-54)/72?
13000
Let t = -342308/51777 + 1/11506. Let s = -3698/7 + 420991/798. Find the common denominator of s and t.
342
Suppose 6*g + 3*g = 36. Find the common denominator of (-910)/(-1000) - (0 - (-3)/g) and -62/25.
25
Let w(j) be the third derivative of -5*j**4/8 + 4*j**3 + 20*j**2. Calculate the least common multiple of 98 and w(-4).
588
Let f(r) = 5*r + 0*r - 20 + 77. What is the lowest common multiple of 6 and f(-9)?
12
Let b = -3351/2 - -1642. Let r(z) = 2*z**2 + 23*z + 25. Let i be r(-11). What is the common denominator of (-2)/i*(-4)/(-12)*87 and b?
14
What is the least common multiple of 6/(10 + 2712/(-273)) and 1339?
9373
Let h(c) = 2*c**3 - 4*c**2 - 7*c - 3. Let q be h(3). Calculate the common denominator of q/(-10) - -2*73/30 and 59/5.
15
Let o(j) = 4*j**2 + 7*j + j**2 + 11 - 5 + j**2 + j**3. What is the common denominator of o(-5) and 9*(-80)/(-180) + (-80)/6?
3
Let l = 715733/648240 - -2/40515. Let a = -551/336 + l. What is the common denominator of (115/42)/(12/14) and a?
252
Let s = -32 + 50. Let a = 20 + -10. Suppose a = 2*g - 6. Calculate the lowest common multiple of s and g.
72
Let z = 9663 - 9655. Calculate the least common multiple of 34 and z.
136
Let v = 147 - 142. What is the lowest common multiple of 48 and 4*(-6 - -36)/v?
48
Let o be ((-1)/2)/((-2)/80). Let q = o + -8. Calculate the lowest common multiple of (-18 - 2)*-3*8/16 and q.
60
Suppose 0 = 6*a - 34 - 8. Calculate the common denominator of -25/16 and a - (-296)/132*-3.
176
Suppose -46*n = -6951 - 317. What is the least common multiple of n and 18?
1422
Let x be (-24)/(-20)*(-40)/(-24)*3. Calculate the least common multiple of 8 - x/18*-39 and 78.
546
Let k(g) = 20 - 2*g - 10 + 3*g. Let x(j) = -5*j - 18. What is the lowest common multiple of k(-6) and x(-8)?
44
Suppose -j + 152 = 5*h - 209, -h + 3*j = -69. What is the least common multiple of 2 and h?
72
Let k = -203/108 + 1361/432. Calculate the common denominator of k and (17 - (-7865)/1254) + -22.
912
What is the common denominator of 64/77 and -15 - 339*160/(-3696)?
77
What is the common denominator of 493/504 + -2 - (1080/96 + -12) and 81/308?
5544
Suppose -3*u + q = -4208, 0 = u + 13*q - 14*q - 1408. What is the lowest common multiple of u and 4400?
30800
Let t = -31764/1001 + 166/143. Let g = t - -1227/28. What is the common denominator of g and 27/124?
124
Suppose -4*k + p - 3*p = 626, 4*k + 4*p + 636 = 0. Let y = 186 + k. Calculate the least common multiple of y and 24.
96
Let s(r) = -3*r + 18. Let l = 4 - 0. Let m be (-21)/l - 1/(-4). What is the lowest common multiple of s(m) and 33?
33
What is the smallest common multiple of (-1*(0 - 4))/((-11)/(-143)) and 1004?
13052
Let p be (-3)/3 + 2715776/(-220). Let c = p + 12345. Calculate the common denominator of -53/15 and c.
165
Let q(m) = 8*m**3 - 60*m**2 + 26*m - 138. Calculate the lowest common multiple of 3 and q(11).
10608
Let f = 8 - 27. Let z = f + 21. Suppose 260 = -z*a + 7*a. Calculate the smallest common multiple of a and 18.
468
Suppose 38*u = 35*u. Suppose u*x - 5*x = -20. Suppose 0 = -3*i + 3*c + 21, -x*i + 4*c - 2*c + 30 = 0. What is the smallest common multiple of i and 18?
72
Let y = 49 + 329. Suppose 0 = 8*k - 16 - 96. Calculate the lowest common multiple of y and k.
378
Calculate the common denominator of -59/840 and 14/(-2240)*(4 - 78).
1680
Let f = 3800 - 3788. What is the smallest common multiple of f and 4394?
26364
Let p be (-2)/9 + -2 + (-30412723)/13860. Let b 