
45
Let m(x) = 5*x**3 + x**2 + x - 1. What is the smallest common multiple of m(1) and 1 - (-2)/(-3) - 350/(-30)?
12
Suppose -5*c + 54 = 4*c. Suppose -93 - 27 = -c*u. What is the lowest common multiple of u and 55?
220
Suppose -4*x + 299 = t, 0 = 5*x + 3*t - 190 - 182. Calculate the lowest common multiple of 1 and x.
75
Find the common denominator of 47/10 and -1*(-2 - 52/(-24)).
30
Let m = 1598725094423/275125533168 + 29/36820869. Let y = -3/1868 - m. What is the common denominator of -39/20 and y?
80
Let r(n) = -30*n. Let i be r(-5). Let d = i - 38. Let l = d + -415/4. Calculate the common denominator of 65/18 and l.
36
What is the common denominator of -89/20 and ((-18)/(-128))/(-4 + (-151)/(-46))?
1760
Let b = 66 + -156. Let u be 8/(-10)*b/(-12). Let c = 3 - u. What is the least common multiple of 4 and c?
36
Let j be 469/(-97) - (21 + -25). Let o = j - -4207/2134. What is the common denominator of o and -59/12?
132
Let r = 3825150241117/468965730 + 1/46896573. Let v = 8158 - r. Find the common denominator of -70/3 and v.
30
Suppose -7 = -2*m + m. Let b(z) = -z - 1. Calculate the lowest common multiple of b(-11) and m.
70
Let r(o) = 4*o**2 + 17*o + 24. What is the smallest common multiple of r(-2) and (-2)/(-6)*15*1?
30
Let r(q) = q**2 + q + 56. Suppose 1 = 8*p + 1. What is the lowest common multiple of 12 and r(p)?
168
Let x(z) = z + 81. What is the least common multiple of x(9) and 45?
90
Let d = -89690 - -29149278/325. Find the common denominator of d and 56/55.
3575
Suppose -5*s - 3 = -r + 9, -9 = 2*r + s. Let c = -11 - r. Let b = c + 14. Calculate the lowest common multiple of b and 1.
6
Let u = 309211/275 + -12390/11. Let o = 73303/14190 - -2/2365. Find the common denominator of u and o.
150
Suppose 5*m + 3*g - 116 - 39 = 0, -51 = -2*m + g. What is the smallest common multiple of 70 and m?
140
Calculate the common denominator of 81/2 and ((2 + 2)/8)/((-40)/(-226)).
40
Find the common denominator of 22/21 and (-124)/(-434) - (0 + 17/126).
126
Let y = 20980/27 - 778. Let t = y + -1109/54. Find the common denominator of 107/6 and t.
6
Let j = -1167 - -3939. Calculate the lowest common multiple of j and 22.
2772
Let o(z) = z**3 - 23*z**2 - 2*z - 18. Let h be o(7). What is the common denominator of -91/10 and (h/384)/(-1 + (-5)/(-4))?
10
Let l(x) = 2*x + 33. Let y be l(-17). What is the common denominator of -121/12 and (-313)/(-30) + y/3?
60
Let q(h) = 0*h - h**2 - 1 + 3*h - 10*h**2 - 5*h. Let u be q(-1). Let p = u - -13. What is the lowest common multiple of 10 and p?
30
Let l(o) = -o - 2. Let w be l(6). Let q be w/(-84)*(-4842)/(-136). Let d = 20/17 - q. What is the common denominator of -29/20 and d?
140
Suppose 9*i - 40 = 4*i. Let g be 0 + (-3 + 33)/(-3). Let t = g + 15. Calculate the lowest common multiple of i and t.
40
Let d = -70 - -2793/40. What is the common denominator of -55/124 and d?
1240
Let p = -91 + 78. What is the least common multiple of 18/117 + (-24)/p and 6?
6
Let t = -24 + 28. Suppose -4 = -4*s + t. Calculate the lowest common multiple of 60 and s.
60
Suppose 0 = 3*o - x - 165, 5*o - 2*x - 265 = 3*x. Let z = 66 - o. Calculate the smallest common multiple of z and 3.
30
Let j be (-6 - -4)/(-2)*15. Let m = 1 + j. Calculate the least common multiple of 12 and m.
48
Let u = 12 - 2. Let s be 20/(-30) - (-11)/3. Suppose 0 = -s*d + 13*d - 20. Calculate the least common multiple of u and d.
10
Let h = -13118 - -459171/35. Find the common denominator of 4/25 and h.
175
Let w = -45811/708 - -194/3. What is the common denominator of w and 23/20?
1180
Let z(w) = w - 2 + 5*w**2 - 3*w**3 + 2*w**3 + 7 - 4*w. Let g be z(4). Suppose -1 + g = f. What is the lowest common multiple of f and 14?
56
What is the common denominator of 1/(-5) - 436/(-420)*4 and -97/42?
42
Let u = 6756/5 + -1346. Find the common denominator of 5/22 and u.
110
Let a(n) = 2*n**2 + n + 1. Let b be a(-2). Let k = -2 + b. Let x(r) = 2*r - 4. Calculate the smallest common multiple of x(k) and 8.
24
Suppose -230 = b + 2*u, -2*b - 180 - 296 = -4*u. Calculate the lowest common multiple of (-3240)/b - (-4)/26 and 6.
42
Let d = 1137/445 + 4/89. Let w = 3/6206 + 269937/49648. What is the common denominator of w and d?
80
Let j = 39 - 17. Let u(z) be the first derivative of -3*z**2/2 - 52*z - 5. Calculate the least common multiple of u(-22) and j.
154
Find the common denominator of 2/(-24)*1539/54 and -53/22.
88
Let y = 17347/6 + -2882. Let h(g) = 167*g + 1. Let q be h(-6). Find the common denominator of 1/4*q/26 and y.
24
Suppose 120 = 10*c - 0*c. Let p(b) = 2*b**2 + b + 2. Let f be p(-2). Find the common denominator of 67/4 and (114/c)/((-14)/f).
28
Let o(w) = 25*w - 357. Calculate the lowest common multiple of o(18) and 15.
465
Suppose 2*n + y + 3 = -4, -y = 3*n + 13. Let a = n + 17. Let q = 25 + -18. What is the lowest common multiple of a and q?
77
Let a(f) = 4 - 2*f**3 + 3*f**2 - 8*f**2 + 31*f**2 + 3*f**3 + 48*f. Calculate the smallest common multiple of a(-24) and 28.
28
Let k be (5 - 1) + 1*21. Suppose 2*b - 9 = -4*t + b, k = 5*b. What is the smallest common multiple of t and 79?
79
What is the common denominator of 117/14 and (5576/(-1856) + 3)*396/(-15)?
2030
Suppose 101093 = -3*x + 33218. Let m = 50116 + x. Let j = 714873/26 - m. Find the common denominator of j and -7/2.
26
What is the lowest common multiple of 4 and (((-4928)/24)/7)/(4/(-18))?
132
Let n be 238/63 + (-2)/(-9) + -2903. Let g = n - -17315/6. Let z = -37/4 + 29. What is the common denominator of z and g?
12
Suppose -3*r = 5*f - 20, 2*f + 0*r = 3*r - 13. Let n = 12 - f. What is the smallest common multiple of n and 1?
11
Let m(v) = -v**3 - 14*v**2 - 14*v - 9. Let w be m(-13). Let q(n) = -n + 2. Let u be q(w). Calculate the lowest common multiple of 8 and (0 + u)/(-2) + 13.
56
Let w = -6239 - -324387/52. What is the common denominator of (-14)/(-8)*(-33)/308 and w?
208
Let y = -3/34 - 263/102. Let m be (-1)/3*(-299673)/(-36). Let d = m + 2760. Calculate the common denominator of y and d.
12
What is the common denominator of 23/27 and ((-10)/(-110))/(54/228)?
297
Let l be (-3 + 4 - 4)*1. What is the common denominator of 2/l - (-191)/(-42) and -63/8?
56
Let g(h) = -h**2 + 4*h + 2. Let c be g(5). Let p(b) = -b + 4. Let a(i) = 12*i + 105. What is the least common multiple of a(-8) and p(c)?
63
Let s(z) = 9*z - 52. What is the lowest common multiple of s(8) and 96?
480
Let f = -1879971/82 + 22927. Calculate the common denominator of f and -71/8.
328
What is the common denominator of (-46)/(-161)*((-25)/(-12) - -2) and (2/18)/(8/(-172))?
18
Let y = -19 - -27. Let k(n) = -n + 6. Let z be k(y). What is the common denominator of z/5 - 586/(-40) and -11/8?
8
Let o = -66/41 - 3713/164. What is the common denominator of o and -139/198?
396
Suppose 3 = -29*v + 264. Calculate the lowest common multiple of v and 12.
36
Let y be (-2291 + 0 + -2)/(-94). Let q be 1/((-94)/8)*5/(-4). Let z = q + y. Calculate the common denominator of 125/6 and z.
6
Let z = 11 - 5. Let g be (-4)/(-6)*6/(-4)*-5. Suppose 5*i + 3*h = 14 - 9, 3*i = g*h + 3. Calculate the least common multiple of z and i.
6
Let x(g) = -g**3 - 12*g**2 - 18*g + 12. Let i be x(-11). Find the common denominator of -45/8 and (i/14 + 1)*14/12.
24
Let c be 2*(-5)/(15/(-6)). Suppose -2 = -c*w - 0*i - 2*i, 3*w - 5*i - 34 = 0. Suppose -w*r + 12 = 3. Calculate the lowest common multiple of r and 4.
12
Suppose 2348 = 3*i - 6301. Let v = i - 23033/8. What is the common denominator of v and 24?
8
Let b be 4/6*9/(-6). Let t = 12 + b. What is the least common multiple of t and 11?
11
Let d be (-344)/(-28) + (-4)/(-56)*-4. Calculate the least common multiple of (4 - 1) + 0 + d and 4.
60
Let d be (-7762)/(-20) + (-3)/5. Let w = d + -348. Find the common denominator of w and ((-2)/16*49)/(-1).
8
Suppose -5*k + 228 = -5*l + 88, -2*l = 8. What is the lowest common multiple of 48 and k?
48
Let z = -970/11 + 38129/440. What is the common denominator of 23/44 and z?
440
Let r(f) = f**3 - 37*f**2 + 34*f + 88. What is the lowest common multiple of 920 and r(36)?
1840
Let a(x) = 15*x**2 + 2*x + 1. Let o = 2 - 3. What is the lowest common multiple of a(o) and 88?
616
Suppose -6*j - 27 = -93. Calculate the least common multiple of 17 and j.
187
Suppose 2*q + c - 45 = 0, 3*q - 