 - 17468 = 31413. Let y = z + -20494. Let a = 165473/20 + y. Calculate the common denominator of a and 45/2.
20
Calculate the smallest common multiple of 222 and (50 - -12) + 3 + -1 + -4.
2220
Let n = -5211/4 - -1293. Let m = 334217/147950 + 3/2959. Calculate the common denominator of n and m.
100
Let z be (-147)/(-28) - (-3)/36*-3. What is the common denominator of (z/225)/(-2 - (-2988)/1490) and -67/12?
36
Suppose -53*u + 173 = -39. What is the least common multiple of 316 and u?
316
Let u(c) = 9*c**3 - 3*c + 24 + c - 19*c**3 + 9*c**3 + 10*c**2. Suppose -49 = -5*g - 9. What is the smallest common multiple of u(10) and g?
8
Let r be (-3)/2*((-14)/21 + 2). Suppose -5*q = 4*y - 54, -3*y + 5 = 2. What is the smallest common multiple of (-5)/15 + r*39/(-18) and q?
20
Find the common denominator of -87/28 and -5*(-14)/(-315) - 2541/(-1836).
476
Suppose 19 = 3*r + 5*f + 13, 10 = 5*r - f. Let i = -3 - -13. Find the common denominator of (-1)/(-2) + i/(-6) and r.
6
Let w = -74 - -77. Suppose 0 = -n + 6*n + 15, -15 = -w*d - 2*n. Let m(b) = b + 1. What is the lowest common multiple of d and m(5)?
42
Let l = -2446 - -44071/18. Find the common denominator of 131/6 and l.
18
Let i be 6/2*2*1/2. What is the least common multiple of (-1)/i*4 + (-66)/(-9) and 3?
6
Let t = -986 - -4896/5. What is the common denominator of t and (-46)/3 + 3 + -3?
15
Let j = -1346332689/259 + 5198202. Let w = -52461/74 + 709. Let o = j + w. What is the common denominator of 87/4 and o?
28
Let k = -7 - -49. What is the common denominator of -11/3 and (-45)/k*(-63)/6 + 1?
12
Let a = 95/61 - 29597/14030. What is the common denominator of a and 113/100?
2300
Let f be 14/6 + (-3)/9. Find the common denominator of (-4 - -1 - 32)/f and 59/7.
14
Let f(j) = 8*j - 198. Suppose 58 + 14 = 3*o. What is the least common multiple of f(26) and o?
120
Let q be (-11)/(-4) - (-1)/4. Suppose 0 = 6*w - w + 2*h - 39, q*h - 27 = -3*w. What is the lowest common multiple of w and (-2)/(-9) - (-156)/27?
42
Suppose 0*b = -b, 6138 = -3*d + 4*b. Let g be (4/(-20))/(d/(-393895)). Let j = g - -4/1023. Calculate the common denominator of j and 77/6.
6
Let a be 10/(-8) - (-34)/8. Suppose a*g + 3*y = 15, 4 - 9 = y. Suppose -3*m = -8*m + 55. Calculate the least common multiple of g and m.
110
Let l be 20/60 - 10/3. Calculate the least common multiple of (l/(-3))/(6/60) and 92/(-6)*3/(-2).
230
Suppose 1038 = 3*d + 321. Let n = d + -575. Let p = -3070/9 - n. Calculate the common denominator of -9/4 and p.
36
Let l(w) = -3*w**2 + w + 2. Let s be l(-1). Find the common denominator of -28 and (s/8*2)/(34/76).
17
Suppose 0 = -20*s + 15*s - 60. Calculate the common denominator of (428/16)/(s/8) and -75/8.
24
Let w be -5*(381/(-15) - -3). Suppose -3*v - 104 - w = 0. Find the common denominator of 281/(-36) - 16/v and 29/6.
12
Let i be (-4)/(-28) - 20679/144459. Let f = i + 419651/110064. Find the common denominator of f and 0 + 75/(-36) + -1.
48
Let l = 470 - 437. Calculate the least common multiple of 77 and l.
231
Let w = 70507/10 - 7040. Calculate the common denominator of w and 69/70.
70
Let f(s) = -s**3 - 8*s**2 + 9*s - 8. Let o be f(-9). Suppose -2*w + 3*w = 3*k - 20, -3*k - w = -28. What is the least common multiple of k and (21 - -3) + o/4?
88
Suppose 2*z - 1 - 3 = 0, -4*w + z = -158. Calculate the smallest common multiple of 60 and w.
120
Suppose -1 = -2*t + 1. Suppose 1050 = 39*g + 699. What is the least common multiple of g and t?
9
What is the least common multiple of 20 and 10/(-2)*(-44)/11?
20
Let n = 835/2572 + -48/643. Let x(t) = t**3 - t**2 + t + 47. Calculate the common denominator of n and x(0).
4
Let o(g) = -12*g - 3. Let q be o(-4). Suppose 6*n + 5*i - 3 = 3*n, 0 = 5*n + 5*i - 15. Calculate the lowest common multiple of (q/3 - -2) + 3 and n.
60
Suppose r + 7630 = 1822. Let z be 1 + (r/1460)/4. Let j = z + 1809/2920. Find the common denominator of -95/14 and j.
56
Let c(q) = -5*q**2 - 16*q + 5. Let d be c(-13). What is the common denominator of 121/30 and d/120*(-5)/(-6)?
90
Let i be 1/(-3) + 544/(-24). Let q = 463/20 + i. Find the common denominator of 61/22 and q.
220
Let v = -7221/4 - -1818. What is the common denominator of 41/60 and v?
60
Let c = 42351359/198 + -213895. Find the common denominator of c and 31/99.
198
Let o = 67 + -45. Suppose 17*n - 8 = 16*n. Calculate the least common multiple of n and o.
88
Let i = 1377 + -30303/22. Calculate the common denominator of i and 89/38.
418
Let y = 4/1297 - -81695/5188. Calculate the common denominator of -2/7 and y.
28
Suppose 4*b - 3*d = 46, -5*d - 16 = -b + 4. What is the least common multiple of 14 and (-45)/b*16/(-6)?
84
Calculate the common denominator of (1341/(-108))/((-1)/(-1)) and -65/12.
12
Let a(j) = -2*j - 3. Let l(u) = -u - 2. Let i = 10 + -4. Let r(z) = i*l(z) - 5*a(z). What is the common denominator of r(5) and 11?
1
Let d = 43279 + -1990929/46. Let t = 10/23 - d. Let m = 3631/3 + -1232. What is the common denominator of t and m?
6
Let i be -3*1/(-12) - (-59205)/108. Let t = 550 - i. Let b = -21395/7 - -3051. What is the common denominator of t and b?
63
Let z(w) = 72*w + 14. Let o be z(-3). Find the common denominator of (o*(20/(-8) + 3))/(-2) and -27/43.
86
Suppose 3 = -2*s - f, -12 = 2*s - 3*s - 5*f. Calculate the common denominator of 89/6 and 638/120 - s/12*-1.
30
Suppose 13 = -3*b - 5*c, 12 = 2*b - 3*c - 11. Let g(a) = -a**3 - b + 4 + 0*a**3 + 1. Calculate the smallest common multiple of 12 and g(-1).
12
Let g(p) = p**3 - p**2 - 3*p - 4. Let y = -423 - -433. Calculate the lowest common multiple of g(6) and y.
790
Let g be ((-20)/2)/2*696/5. Calculate the common denominator of -52/9 and (g/112)/(((-3)/(-4))/1).
63
Calculate the common denominator of -99/16 and 909/(-6)*7*3/91224.
2896
Let r(t) = t**3 + 8*t**2 + 6*t - 3. Let b be r(-7). Suppose 0 = -b*g + 3*g + 977. Let o = g + -1887/2. What is the common denominator of o and -75/2?
2
Let d = 738 + -670. Calculate the smallest common multiple of 136 and d.
136
Let y be 0 + 1 + (-1900)/(-32). Let p = -367/8 - y. Let t = p + 93. Calculate the common denominator of -93/20 and t.
20
Suppose -13*n + 9*n + 768 = 0. Calculate the lowest common multiple of 20 and n.
960
Let i = 527/70 + -36/35. Let c = 3011 + -30063/10. Find the common denominator of c and i.
10
Let y = -188 + 196. Calculate the smallest common multiple of y and 1/((-40)/(-38) - 1).
152
Let v = -5 + 9. Suppose 0 = -v*f + 1 + 7. Suppose 31 = 5*i - 2*g - f, -3*g = 3*i - 24. Calculate the smallest common multiple of 9 and i.
63
Let g be (-45)/(-18)*(-4 - 0). Let t be g/(-4)*(-8)/(-5). Suppose 0 = q + q - t. Calculate the smallest common multiple of 20 and q.
20
Suppose 0 = -4*v + 307 + 69. Suppose -2*u = 4*j - u + 160, -2*j - v = 4*u. What is the common denominator of -2 - (-3)/((-72)/j) and 85/12?
24
Suppose -5*x + 140 = -3*y, 5*y + 0*x = 5*x - 220. Let t = -52 - -91. What is the common denominator of y and (t/15)/((-6)/10)?
3
Suppose 2*z - 5*v - 1 = 0, -4*z + 20 = -3*v - 3. Calculate the smallest common multiple of z and -107*(-3)/18 - 6/(-36).
72
What is the smallest common multiple of 207 and (-90)/120*(-8)/3?
414
Suppose -3*a + 2*y = -5, -4*a + 3 = -3*y - 4. Let k(v) = 19*v + 1. Let i(h) = h. Let l(c) = 2*i(c) + k(c). Calculate the lowest common multiple of l(a) and 20.
220
Let j be (-4)/18 - 1013464/(-28368). Let r = 2/591 - j. Find the common denominator of r and (-1)/(-10)*(-11 - -3)/(-1).
10
Let i = 17 + 148. Let h = -154 + i. Let q = -20 + 30. What is the least common multiple of q and h?
110
Suppose -f - 2*t - 1953 = 0, -2*t - 25 = 3*t. Let j = f + 38849/20. Let o = -139649/10 + 13976. Calculate the common denominator of o and j.
20
Let q be ((-290)/(-30))/((-2)/(-111)). Let k = -8565/16 + q. Calculate the common denominator of -109/12 and k.
48
Let m be 17/((-4)/(-4 - 0)). Suppose -3*q = n - 6*n + m, -16 = -4*n. What is the smallest common multiple of q and 8?
8
Let g = 581 + -521. What is the least common multiple of 50 and g?
300
Let d(b) be the first derivative of 4*b**3/3 - b**2 + 2*b - 3. Suppose -1 = 5*h - 16. Calculate the common denominator of 91/6 and d(h).
6
Find the common denominator of 39/(351/450)*1/22 and -19/297.
297
Suppose 23*p - 1753 = 1145. Calculate the lowest common multiple of p and 2