1/10 and 2/7 + 282/y.
10
Let j = 6 + 11. Suppose 4*p - 27 = j. Suppose 3*v + 3*r - 2*r - 23 = 0, -v - 2*r + 11 = 0. Calculate the smallest common multiple of v and p.
77
Let y be (-9)/(-6)*1*2. Calculate the common denominator of 19*2/((-36)/(-1)) and 226/24 + y/(-9).
36
Let d = 0 + 3. Let f be -2*d/(30/11069). Let a = f + 2205. Calculate the common denominator of a and -49/8.
40
Let o = 3471314/1258065 - -1/93190. What is the common denominator of -55/12 and o?
108
Let k = 1224 + -8606/7. Find the common denominator of k and 6/4*(16 + (-3 - -6)).
14
Let d = -472 - -677. Let i = d - 593/3. What is the common denominator of i and 52/5?
15
Let j = 2 + 1. Suppose z - 29 = -3*g, j*z - 3 - 12 = 0. What is the smallest common multiple of g and 8?
8
Suppose -32 = 2*k + 18. What is the common denominator of -83/10 and 1/4 + k/6?
60
Suppose 12 = -p + 3*h, 2*p + 27 - 9 = 3*h. Calculate the smallest common multiple of (-38)/(-4) - (-3)/p and 4.
36
Let l(n) = n**2 + 12. Let h be l(0). Calculate the common denominator of -29/2 and (213/(-8))/((-9)/h).
2
Suppose -30 = -3*r - 3*a, 5*r - 18 = 7*a - 4*a. Calculate the least common multiple of 16 and r.
48
Suppose 2*o + 102 = 2*k, -5*k - o - 2*o = -215. Let l = -9427/205 + k. Let b = 5559/1640 - l. Calculate the common denominator of b and 41/16.
16
Suppose 0 = 9*j - 13 - 14. Calculate the lowest common multiple of 24 and j.
24
Let r(w) = -w**2 - 2*w + 14. Suppose -1 - 15 = -2*d + 2*o, 0 = -5*d + 4*o + 37. Calculate the lowest common multiple of r(-4) and d.
30
Suppose -3*j - h - 13 = 2*j, -20 = 4*j + 4*h. Calculate the common denominator of -49/10 and j/((2 - 2) + -4).
10
Suppose 0 = -n - 3*p - p - 418, 2*p - 1296 = 3*n. Let f = 5955/14 + n. Calculate the common denominator of f and 7/8.
56
Suppose -3*z + 4*z - 8 = 0. Let x(p) = -p**2 + 7*p + 9. Let d be x(z). Let q = 7 + d. Calculate the smallest common multiple of q and 16.
16
Let l(k) = k**2 + 2*k - 7. Suppose -2*b - 2*b = 20. Let t be l(b). What is the lowest common multiple of (-18)/t*(-48)/18 and 6?
6
Calculate the common denominator of (-1248)/60*(0 - 3)/12 and (-57)/7 + 1 + 1.
35
Calculate the common denominator of 127/6 and (-5)/20*-15 + -1.
12
Let l be 2*20 + -1 - 2. Suppose 5*k + 1 + 1 = 3*b, -3*b = 2*k - l. Suppose -2*p = -3*m + 33, -p - 11 = -m - 2*p. What is the lowest common multiple of b and m?
99
Suppose -5*d = 0, 2*t - 5*d + 0*d - 10 = 0. Suppose m - 16 = -4*m - 3*x, 2*x - 2 = m. What is the smallest common multiple of m and 3 + -1 + -1 + t?
6
What is the common denominator of (-682)/2044 + 4 + 130/(-35) and 119/18?
1314
Suppose -z + 11 = 2. Let o(k) = -k + 13. Let w be o(z). Suppose 0 = -3*y + w*y - 14. What is the lowest common multiple of y and 4?
28
Let l = -18871 + 415241/22. Calculate the common denominator of l and -131/6.
66
Let f(v) = -v**3 + 21*v**2 - 38*v + 12. What is the least common multiple of f(19) and 50?
300
Let l(z) = 5*z**2 + 2*z - 1. Calculate the smallest common multiple of l(1) and 9.
18
Calculate the common denominator of 42/16*(19/15 + 1) and 133/6.
60
Let k = 7 - 4. Suppose -26*z = -31*z + 55. What is the least common multiple of k and z?
33
Let f = 3 - -13. Calculate the smallest common multiple of 4 and f.
16
Let h(t) = t**2 + 12*t - 21. Let i be h(-10). Suppose -2*g + 81 = -5*g. Let f = g - i. Calculate the smallest common multiple of 10 and f.
70
Let r = -26 + 12. Let f = r + 20. Calculate the common denominator of 68/(-8)*f/8 and 95/16.
16
Let o = 8 + -25. Find the common denominator of 320/50 - 7 - 502/(-20) and o.
2
Let a = -6814 - -122515/18. What is the common denominator of -3*(3 - 63/(-6)) and a?
18
Let q be 258/195 - (3 + -1). Let f = 3763/1430 + q. Find the common denominator of 103/6 and f.
66
Let q = -433/414 + 86/207. Calculate the common denominator of q and 121/10.
230
Find the common denominator of -2*((-486)/(-32))/3 and 86/20 - 2/(-5).
40
Suppose 0*t = -3*t + 9. What is the smallest common multiple of 8 and 10 - (t - (-1 + 1))?
56
Suppose -5*o = -122 + 37. Let i = o + -6. What is the lowest common multiple of 11 and i?
11
Let w = 45 + 1. Find the common denominator of -67/46 and w.
46
Find the common denominator of (-165)/48 + 3/(-2) and 103/20.
80
Calculate the common denominator of 1210/100 + 3/(-5) and -53/9.
18
Suppose -2*f - 3 = f. Let q be (-6)/15 + (-387)/(-5). Find the common denominator of -19/16 and f/3 + q/24.
16
Calculate the common denominator of (-1)/(-6) + 276/(-9) and -16/3.
6
Calculate the smallest common multiple of 2 and (-1)/6 - 165/(-18).
18
What is the lowest common multiple of 2 and (-2 + 1)*-21 + -3?
18
Suppose 3*i = 38 + 4. What is the least common multiple of i and 39/4 + 12/(-16) - -5?
14
Suppose -9*j + 882 = -234. What is the lowest common multiple of j and 8?
248
Let u be ((-29)/2)/(6/(-12)). Let v = 33 - u. Let z = -1 - -5. What is the lowest common multiple of v and z?
4
Calculate the common denominator of (-706)/80 - 4/5 and 89/14.
56
Let t = 170/7 + -181/7. Calculate the common denominator of (-3)/5 - (-176)/(-15) and t.
21
Let d(y) = -3*y**3 - y**2 - y - 1. Let s = 8 + -9. Let a be d(s). Calculate the common denominator of 93/a*(-5)/(-60) and -49/16.
16
Find the common denominator of -93/2 and -3 + 1 - (-97)/(-2).
2
Let o(n) = 2*n**2 + 2. Let y = 36 + -14. Calculate the lowest common multiple of y and o(-2).
110
Suppose 4*p = 49 + 63. Suppose 5*n - 5*d = 71 - 11, -d = 3*n - p. What is the least common multiple of n and 2?
10
Let t = 139343/12 + -11601. Let g = -21/4 - -139/12. Find the common denominator of g and t.
12
Suppose -3*n - 4*h + 1 = 0, 3*h - 2*h = -3*n + 7. Suppose -2*y = n*y + 5*s - 60, -34 = -4*y + 3*s. What is the least common multiple of y and 11?
110
Let x = -11948 - -119377/10. What is the common denominator of (-3)/(-4)*390/27 and x?
30
Let v = -10 - -10. Suppose -4*r + 5*f = 15, -4*r + 2*f = -v*f + 30. Calculate the least common multiple of 68/20 + 4/r and 4.
12
Let b = 130 + -1765/14. What is the common denominator of b and -127/6?
42
Let j = -91 - -93. Calculate the least common multiple of 16 and j.
16
Let v(h) = 2*h**2 + 2*h - 3. Let w be v(3). Suppose 1 = -5*r + w. What is the lowest common multiple of r and 9?
36
Let a be -6810 + 1 - (-1 - 3). Let s = 81761/12 + a. Calculate the common denominator of s and -19/2.
12
Let t = -2659/4 - -661. What is the common denominator of -91/6 and t?
12
Let v = 583 - 5234/9. Let t be (0 - 2) + (-12)/3. Find the common denominator of t/21*(-159)/(-6) and v.
63
Suppose 8*g - 5*g - 9 = 0. Suppose -l + 32 = 5*u - 4*l, 0 = g*u + 3*l. Suppose 0 = j - 3*j + 24. Calculate the lowest common multiple of j and u.
12
Calculate the common denominator of -19/11 and 27/(-36) + (-55)/(-12) + 0.
66
Let v(q) = 13*q**3 + q. Let b = -12 - -32. What is the least common multiple of b and v(1)?
140
Let j(w) be the second derivative of -w**4/12 + w**3/6 + 3*w**2 + w. Let t = 56 + -45. Calculate the smallest common multiple of j(0) and t.
66
What is the smallest common multiple of 11 and (-7 + 4)/(3/(-4))?
44
Suppose 0 = -2*d + 4*t - 24, 5*d + 0 + 15 = t. Let l be (-257993)/(-60) - d/(-3). Let w = -12914/3 + l. Calculate the common denominator of w and -63/16.
80
Suppose -5*u + 2*u = 2*d - 7, 4*d = u - 7. Suppose -24 = -u*r + 30. What is the lowest common multiple of r and 12?
36
Let l = 624/43 - 923649/63640. Let j = 42893/13320 - l. Calculate the common denominator of 38 and j.
9
Let c = -3 + 5. Let y be -2 + 2 + c - -4. Calculate the common denominator of ((-1)/(-6))/(y/513) and 47/9.
36
Suppose 0 = 2*p - 5*p + 54. What is the smallest common multiple of 33 and p?
198
Let v(q) = q - 10. Calculate the least common multiple of 33 and v(11).
33
Suppose 0 = 8*s - 447 - 161. Calculate the least common multiple of 8 and s.
152
Let h(k) = k**3 - 3*k**2 - 2*k + 4. Let w be h(3). Find the common denominator of 0 - w*85/12 and (-2)/(-3) + 494/(-12).
6
Suppose 0 = 4*y + 4 - 0. Suppose -6 = -3*o + 3. Find the common denominator of -15/7 and y*o/12*-1.
28
What is the common denominator of -7/24 and 2/48*8*298/16?
24
Let n = -22162345025004863 + 73069252268830783573/3297. Let v = -218801871 + n. Let s = v - -8/471. Calculate the common denominator of 93/10 and s.
70
Suppose 7 = -4*g - 2*d + 21, -2*g = -3*d + 5. Suppose 13 = -5*i - 2,