k - 1045 - 989 = 0. Let w = 4097/4 + k. Calculate the common denominator of w and 23/42.
84
Let r(s) = 0*s - 3*s**2 - s + 0*s**2 + 6 + s**2. Let m be r(5). Find the common denominator of -151/6 and 2/(1 + 65/m).
24
Let m = -24 - -28. What is the least common multiple of m and 2?
4
Suppose 2*s = 4*n - 10, 3 + 3 = -2*n. Let o be 521/s*1068/8. Let t = o - -6327. What is the common denominator of t and -41/4?
44
Let r be 10/(-5) - 1/1. Find the common denominator of -48/5 and r/(-12) + 253/(-20).
5
Suppose 0 = 4*k + 1 + 7. Let y = -16/39 + 773/78. Calculate the common denominator of y and (9/(-4))/(k/28).
2
Let x = -675 - -2050/3. Find the common denominator of -70/33 and x.
33
Let p(k) = -k**2 + 15. Let j be p(0). Let l = j - -5. Let b = -56 + 78. Calculate the least common multiple of l and b.
220
Let c = 145 + -42. What is the common denominator of (-3)/30*c - -3 and -19/16?
80
Let l be (-232698)/10*1/(-6). Let v = 4882 + -1010. Let r = v - l. What is the common denominator of 75/14 and r?
70
Let r = -4139/6 + 2090/3. Let u be ((-3)/42)/(217/371). Let j = u + 6/31. Find the common denominator of r and j.
42
Let l(m) = -2*m + 4. Calculate the smallest common multiple of l(0) and 2.
4
Suppose -a = -3*i - 27, i - 29 = 3*a - 110. Calculate the least common multiple of a and 15.
135
Let b = -33/23 - -1/161. Find the common denominator of -49/8 and b.
56
Let r = 193910/9 - 645653/36. Suppose 4*g + 17955 = -g. Let h = g + r. What is the common denominator of 67/2 and h?
4
Let b = -106 - -107. Let p = 8 - 4. What is the least common multiple of p and b?
4
Let w(y) = -y**2 - 15*y - 5. Let l be w(-10). Suppose -1 = 2*k - l. Calculate the smallest common multiple of 28 and k.
308
Calculate the common denominator of 1/(-2)*103/(-11) and 4 - (-6)/4 - 2/7.
154
Let n = 106 - 103. Calculate the lowest common multiple of n and 2.
6
Suppose -3*x + l + 19 = -15, 4*l + 26 = x. Calculate the smallest common multiple of 20 and x.
20
Let g = -166 - -86. Find the common denominator of 32/7 and (-358)/g + (-9)/15.
56
Suppose 4*j + 0 = 8. Suppose j*v - p - 16 = -2*p, 4*v + p = 30. What is the smallest common multiple of 8 and v?
56
Let q = -3 - 0. Let x(k) = 3*k**2 + 3*k - 2. Let c be x(q). Suppose 1 = -5*u + c. What is the smallest common multiple of 8 and u?
24
Let l(i) = -i**3 + 8*i**2 + 11*i - 3. Let z be l(9). Let y = z + -13. What is the least common multiple of 2/3*(1 - -2) and y?
2
Suppose 12 = 2*b - 3*f, -b - 2*f = b - 12. Let r(z) = 8*z**2 + 3*z**3 + 1 - z**3 - z**3. What is the smallest common multiple of b and r(-8)?
6
Find the common denominator of (30/(-28) + 1)*236/(-4) and 37/20.
140
Suppose 0*v + 10 = t + 3*v, 4*v - 12 = 0. Suppose 3*l - 5*l - 5*u + t = 0, -4*u + 2 = 2*l. What is the common denominator of 2 + l*(-18)/(-10) and 57/7?
35
Let p(t) = -8*t**2 + 2 - 6*t**3 + t + 5*t**3 - 2*t. Let s be p(-7). Let r = 58 + s. Calculate the smallest common multiple of 14 and r.
126
Let h = -173/8 + 103/8. Calculate the common denominator of h and (1 - 4/(-3))/(24/(-24)).
12
Let h = -2 - -5. Let t be 22/3 + 2/h. What is the common denominator of ((-2)/t)/(10/284) and 44/7?
70
Let d be 1/(15/222*4). Let w = d + -1/30. Find the common denominator of w and -101/8.
24
Let i = 835/4 + -210. Calculate the common denominator of i and -5*(0 + (-1)/(-3)).
12
Suppose 3*b + 2*b = 0. What is the lowest common multiple of 9 and 1 + 6/3 + b?
9
Let a = 46/85 - 6109/765. Suppose 5*t - 7 + 2 = 0. Find the common denominator of a and 48/21 + 1 + t.
63
Suppose -5*j - 34 = 4*t, 0*t - 2*t + 5*j = 2. Let k = t - -11. Calculate the lowest common multiple of 9 and k.
45
Let f(k) = -k**3 - 6*k**2 - 3. Let o be (-2)/2 - (2 + 0). Let g be f(o). Calculate the least common multiple of 12 and 64/(-12)*g/8.
60
Let u = -881/21 - -240/7. Calculate the common denominator of u and -26/5.
15
Let d(g) = -g**3 + 6*g**2 + 9*g + 2. What is the least common multiple of d(7) and 4?
16
Suppose -2*k = -3*k + 2. Suppose k*f - 4*j - 3 = 3, -7 = -f - 2*j. Calculate the least common multiple of 11 and f.
55
Let t = 19298 - 926263/48. Calculate the common denominator of -19/18 and t.
144
What is the common denominator of ((-12)/(-120))/((-4)/690) and -127/6?
12
Suppose -c + 3*g - 12 = 0, 0*c - 4*g = -2*c - 16. What is the common denominator of 45/22 and (-2)/(-20)*(21 + c)?
110
Suppose 4*g = 219 + 5. Calculate the lowest common multiple of g and 20.
280
Let c = 42 - 89. Find the common denominator of c and 68/9.
9
Suppose 2*r = -2*q + 8, q + 5*r - 5 = 3. Let p = q + -1/11. What is the common denominator of p and (-280)/(-66) - (-3)/(-9)?
11
Suppose 8*f + 40 = 3*f. Let w(d) = d**2 + 5*d - 2. What is the lowest common multiple of 22 and w(f)?
22
Let u = 38 + -20. What is the least common multiple of u and 20?
180
Let z be (-1436)/20 - (-2)/(-10). What is the common denominator of 42/20*(-75)/z and -1 - (-1 - 255/(-24))?
16
Let z = -107/15 + -1/5. What is the common denominator of z and 89/10?
30
Suppose -48 = -0*v - 2*v. Suppose -d + v = 2*g, 7*g - 3*g = -d + 34. Suppose 3 = -3*w + u + 38, -5*w - 5*u = -25. What is the lowest common multiple of d and w?
70
Let y be (7/(-4))/(1/4). What is the smallest common multiple of ((-8)/14)/(2/y) and 1?
2
Let w(h) be the first derivative of -h**2/2 + 10*h - 2. What is the smallest common multiple of w(9) and (0 - -1)*1 - -1?
2
Let u = 32015/6 + -5322. Find the common denominator of u and -59/60.
60
Suppose -3*z + 4*s + 31 = 0, 3*z - s + 4*s = 3. Let o = 4234/5409 + -3/601. Calculate the common denominator of -2 + z + 78/(-20) and o.
90
Let v(o) = -15*o + 3. Let w be v(-1). Let m(t) = 5*t**2 + t - 1. Let z be m(1). What is the lowest common multiple of 4 and (w/5)/(1/z)?
36
Suppose z + 2 = 5*t + 6, -3*z - 2*t = -46. Suppose 84 - 24 = 5*g. Let i = -8 + g. Calculate the lowest common multiple of i and z.
28
Let q = -252400973/14 - -18041281. Let z = -12635 + q. Calculate the common denominator of (4/6)/(20/219) and z.
70
Suppose 0 = -3*y + 8*y. Let d(b) = b**3 + b + 11. Let n be d(y). Let o = n + -7. Calculate the lowest common multiple of 22 and o.
44
Suppose 2*v + 3*v = 50. What is the least common multiple of v and 3?
30
Let k = 44 - 8. Calculate the lowest common multiple of 8 and k.
72
Let b = -21 - -32. What is the smallest common multiple of b and 22/(-4)*-1*2?
11
What is the common denominator of ((-33)/(-21))/(-1) - 2 and -19/2?
14
Let d be 4/10 - 297/55. Let z(x) = -x**3 - 4*x**2 + 2*x - 7. What is the least common multiple of z(d) and 4?
8
Let c = -188041/34 - -5530. Calculate the common denominator of c and 101/6.
102
Suppose 0 = 3*c + 2*o - 8, -10 = -5*c - 5*o - 0*o. Calculate the lowest common multiple of (-1)/(1/c)*-5 and 8.
40
Suppose 545 = 19*b - 139. Calculate the lowest common multiple of b and 18.
36
Suppose -47 = -3*u + 1. Calculate the least common multiple of u and 26.
208
Suppose b - 66 = -2*b. Calculate the lowest common multiple of 72 and b.
792
Suppose -i - 24 = -9. Let s = -8 - i. What is the smallest common multiple of s and 8?
56
Let y = 815/71 - 47039/4970. What is the common denominator of 49/16 and y?
560
Let s be ((-1)/((-15)/141))/(-7). Let c = s - 145/14. Calculate the common denominator of -31/2 and c.
10
Let t = 25/222 - 6577/2220. Let q = 35651/340 - 1746/17. What is the common denominator of q and t?
20
Let r = -134 + 440/3. Calculate the common denominator of r and -43/11.
33
Suppose 3*h + 75 = -2*h. What is the smallest common multiple of (3 - 2)*-1 + 9 and 2*(-3)/18*h?
40
Find the common denominator of -11 and (248/60 + 0)*3/18.
45
Calculate the least common multiple of 36*(4 - (-28)/(-8)) and 8.
72
Let g(j) = j + 10. Let n be g(0). Suppose 5*q = n + 10. What is the lowest common multiple of 3 and q?
12
Let k(v) = v**2 - v + 5. What is the least common multiple of 8 and k(3)?
88
Suppose 5*x - 7 = 8. What is the least common multiple of 22 and x/(-7) - 68/(-28)?
22
Suppose 0*u + 20 = 2*u. Let w(x) = 6*x - 2. What is the smallest common multiple of u and w(2)?
10
Suppose 5 = 4*r + 25. Calculate the least common multiple of 6 and (-2)/(-10) + (-14)/r.
6
Let b be (4 + 2)*4/(-3). Let q = b + 7. Find the common denominator of (-1)/(q - (-27)/51) and -46/5.
40
Suppose 17 = 3*n + 116. Find the common denominator of n and -39/8.
8
Suppose