et f be s(-2). Let z(r) = 12*r**2 + 24*r - 3. Let g be z(-3). What is the lowest common multiple of (-5 - f)/(g/(-88)) and 8?
16
Suppose -64*h + 53*h + 484 = 0. What is the least common multiple of h and 100?
1100
Calculate the common denominator of (34/(-99))/(48/180) and -67/24.
264
Suppose 0 = 4*n - 24. Let p(t) = -t**3 + 7*t**2 - 2*t + 3. Let v = 938 - 933. Calculate the smallest common multiple of p(n) and v.
135
Suppose 19*p - 27*p = -16. Calculate the smallest common multiple of 38 and p.
38
Suppose -5*g = z - 10, 3*g = 5*z - 0*z + 6. Suppose -g*l + 14 = -l. What is the least common multiple of 16 and l?
112
Suppose -4*a - a = 210. Calculate the common denominator of -1 - -2 - (-150)/a and 1*(-24)/4 - 2.
7
Let j = 12881/294 - 2232/49. Calculate the common denominator of j and 29/36.
252
Let m be 1/(-3 - 26/(-8)). Suppose 12 = -v - 2*d, -4*d + 8 = -v - m. Calculate the common denominator of (-344)/30*v/32 and 79/16.
80
Suppose 13*r = 5*r. Suppose -u - 22 + 112 = r. Calculate the lowest common multiple of u and 8.
360
Let r be (170/51)/(1/(-3)). Find the common denominator of (74/r)/((-4)/(-4) + 3) and 17/20.
20
Let b be (-11284 - -1)*1/4. Let r = b + 2845. Let g = -214/55 + -3391/330. What is the common denominator of r and g?
12
Let c(u) = u**3 + 7*u**2 + 4*u - 6. Let j = -9 - -2. Let s be 41/j + (-3)/21. Calculate the smallest common multiple of 4 and c(s).
12
Let r be 2/(-4) - 10/(-4). Suppose 3*h + 112 = 5*n + 30, 0 = -5*n - r*h + 62. What is the lowest common multiple of n and 16?
112
Suppose -5*g + x + 2 = -3*g, -17 = -3*g - 2*x. Suppose 0 = -2*h + h - g. What is the least common multiple of 8 and 3 - 1/(h/33)?
56
Let r = -1729/4 - -419. What is the common denominator of -71/8 and r?
8
Suppose k + 2*u = 7*u + 10, -2*k + 4*u + 20 = 0. Calculate the common denominator of (23/8)/((-5)/2) and ((-3)/(-21))/(k/395).
140
Suppose 0*c + 3*c - 74 = 5*b, 0 = -4*c + 5*b + 107. Suppose -c = -7*f + 51. Let u = 25 - 15. What is the least common multiple of f and u?
60
Suppose 39 = 5*y - 41. Suppose 0 = 3*m + y - 70. Calculate the least common multiple of 36 and m.
36
Suppose -5*j = 4*q - 3, -2 = j + 5*q - 11. Let r(s) = -2*s - 3. Calculate the lowest common multiple of (-6)/((-4)/(-12) + j) and r(-3).
9
Suppose 65 = 3*j - 70. Calculate the lowest common multiple of 81 and j.
405
Let k be 4/7 - (-217)/49. Suppose 27 = v - k*l, -l = -4*v + 50 + 39. Calculate the smallest common multiple of 16 and v.
176
Let o = -2332 + 28057/12. Calculate the common denominator of -11/12 and o.
12
Let p(u) = 12 - 12 + 6*u**2 + u**3 + 2*u + u. What is the smallest common multiple of 8 and p(-3)?
72
Let i = 10 + -40. Let o = -30 + 11. Let m = o - i. Calculate the smallest common multiple of 4 and m.
44
What is the common denominator of ((165/(-8))/11)/3 and -68/231?
1848
What is the common denominator of -163/90 and ((-812)/(-70))/(-1 - 0 - 17)?
90
Let k = 1799/180 + 11/36. Let i = 269/66 - -1/11. What is the common denominator of k and i?
30
Suppose -4*c = 2*o + 2*o - 432, 4*o - 545 = -5*c. Let f be c/(-2 - (0 + -3)). Let t = -1891/16 + f. Calculate the common denominator of -81/20 and t.
80
Let s be 1943948/(-522216) + 1/2. Let q = -2/7253 - s. Calculate the common denominator of q and -67/8.
72
Calculate the common denominator of -49/200 and (-9 + (-1302)/(-144))/(4/201).
800
Let w = 769/120 + -21987/3560. Find the common denominator of 1/48 and w.
4272
Let k(s) = -2 + s**2 + s + s**2 - 12*s**3 + 11*s**3. Let v be k(2). Suppose v = 10*w - 5*w - 40. Calculate the smallest common multiple of 1 and w.
8
Let a be (762/8)/(9/(-334)). Let i be (-1 + 3513/(-4))/(3/12). Let o = a - i. What is the common denominator of o and 4/3?
6
Suppose -l + 70 = -10. What is the lowest common multiple of l and 16?
80
Suppose -4*g = 4*m - 292, 3*g - 5*g - 372 = -5*m. Calculate the smallest common multiple of 11 and m.
814
Suppose -40 = -5*o - 4*l, 13 + 19 = 4*o + 3*l. What is the lowest common multiple of 11 and o?
88
Let r(d) = -d - 3. Let x be r(8). Let c = -4 - x. Suppose -3*f = -5*l - 27, f + 0*l - 1 = -l. What is the smallest common multiple of c and f?
28
Let l = -13 - -23. Suppose 0 = -g - 3*a - 8, -3*g + g - l = 4*a. What is the lowest common multiple of 9 and g?
9
Let f = -28513/7 + 4065. Let o be 0 + (-4)/6948*-12476. Let x = 72/193 + o. Find the common denominator of x and f.
63
Let q = 1/22439757 - -109102097999/12005269995. Let v = -12/107 - q. What is the common denominator of v and 31/15?
15
Let n = 122521/69102 + -1/3141. Let s be ((-306)/28)/(-3) + -4. Let h = s - -17/28. Find the common denominator of h and n.
44
Suppose y = -189*z + 191*z + 138, 2*z = -5*y + 726. Calculate the least common multiple of y and 42.
1008
Let v be -6 + (60/70)/(4/14). Calculate the common denominator of 43/33 and v + (-22)/(-3)*11/(-44).
66
Let h be 2/((103278/(-9))/7). Let x = 46622/81147 - h. Find the common denominator of x and 77/18.
198
Let s = -300 + 316. What is the lowest common multiple of s and 7?
112
Suppose 1121 = -4*y + 3*m, -y + 2*m - 294 = 4*m. What is the common denominator of ((-4)/(-8))/((-16)/y) and 1/(-4)*(-86 + 1)?
8
Let g = -195 - -229. What is the smallest common multiple of 6 and g?
102
Let b = 5221/20280 + -8/507. Find the common denominator of -83/135 and b.
1080
Let f = -1957 + 1973. Calculate the lowest common multiple of f and 8.
16
Let j be 4 - (11/1 + -2). Let c be -7*j*3/3. Suppose 1 = 2*l - c. Calculate the smallest common multiple of 14 and l.
126
Let m = 4455 - 26827/6. What is the common denominator of (-514)/152 - 2*-1 and m?
228
Let v = -2455/2 + 1205. Let t = 2 - 3. What is the common denominator of 0 + (t - (-2)/(-20)) and v?
10
Let j(q) = -q**3 + 11*q**2 - 29*q + 119. Calculate the lowest common multiple of j(9) and 176.
880
Suppose -13*i + 60 = -4*i + i. Suppose -4*l + 2*l + 42 = 0. Calculate the lowest common multiple of l and i.
42
Let l = 53/6 - 29/24. Let y = -1285/3 + 381. Let j = y - -48. Find the common denominator of l and j.
24
Calculate the lowest common multiple of 10 and 7416/27*-6*1/(-8).
1030
What is the common denominator of -133/72 and (44/8)/(7 + 2)?
72
Let x be 7/2 - 10/(-20). Suppose x*r + 36 = 7*r. Suppose t - r = -5*t. What is the lowest common multiple of t and 8?
8
Let m(p) = 17*p - 11. Let h be m(3). Let w = h + -34. Calculate the smallest common multiple of w and 2.
6
What is the common denominator of -82/39 and (172/45 + -4)*21?
195
Suppose -w + 53 = -0*w - q, 5*w + 4*q = 292. Calculate the least common multiple of 16 and w.
112
Suppose 6*p - 4*p = 3*s + 54, 0 = -s - 2. Calculate the least common multiple of 20 and p.
120
Let z be ((-9)/(-3))/(15/20). Calculate the common denominator of 2*((-86)/20 + z) and -53/9.
45
Suppose -11 = -4*u - 3. Suppose 0 = -4*p + 6*p - 10. Suppose p*x + u = 32. What is the least common multiple of 8 and x?
24
Suppose -59*d + 30*d = -2262. What is the lowest common multiple of 442 and d?
1326
Let h = -33 - -33. What is the common denominator of h/(-2) - (-2)/(60/115) and 109/(-66) + (-2)/(-6)?
66
Calculate the smallest common multiple of 25/(-50) + (-1 - (-43)/2) and 15.
60
Let p be 4/(-6) - (-264)/18. Suppose -5*f = 2*f - 35. Suppose r - 3*r = -f*y - p, -r - 4*y = -7. What is the lowest common multiple of 5 and r?
35
Let o = 172 + -45. Let p = o - 117. Calculate the smallest common multiple of 5 and p.
10
Calculate the common denominator of (-18 - 41)*(-1)/(-232)*1 and -53/18.
2088
Let j(s) = s**3 + 20*s**2 + 5. Suppose l + 58 = 5*p, -6*p + 4*p + l + 25 = 0. What is the smallest common multiple of j(-20) and p?
55
What is the common denominator of 53/10 and -2 + ((-5)/30)/((-13)/393)?
130
Let n = 197 - 157. What is the smallest common multiple of n and 20?
40
Let p = -48148/21 + 2292. Calculate the common denominator of 45/7 and p.
21
Suppose 0 = -94*x + 92*x - 30. Find the common denominator of -67/6 and x/6*(-4 - 3) - -4.
6
Let n = -1354 - -2637/2. What is the common denominator of 27/308 and n?
308
Calculate the common denominator of -51/70 and (99/12)/(2457/104).
630
Let c = -1207997/25190 - -1/1145. Suppose -5*m + 8 = 248. Let r = c - m. Find the common denominator of r and -81/14.
154
Let r(l) = l**2 - 2*l - 3. Suppose 40*z + 0*z = 640. What is the lowest common multiple of z and r(4