et c(n) = -2*n**3 + n**2 - 2*n + 1. Let q be c(1). Suppose -3*o = 2*o - 5*t + 40, 3*t - 6 = 0. What is the smallest common multiple of 7 and (-58)/o + q/3?
63
What is the common denominator of -23*(-4)/88 + -2 and 17/38?
418
Suppose -12 = -4*n + n. Suppose 2*p + p + 42 = -c, 4*p - c = -56. Calculate the lowest common multiple of n and (-384)/(-21) + 4/p.
36
Suppose -56 = 2*k - 802. Let c = k - 4107/11. Find the common denominator of c and -95/6.
66
Let w = 11/23 + -1417/414. Calculate the common denominator of 21/4 and w.
36
Suppose d - 2*x = 26, 29 = 2*d + 4*x - 47. What is the common denominator of -49/2 and -1 + (-116)/d*1?
8
Let p = 8/67 + -2897/134. Let i = 14947 - 209151/14. Find the common denominator of i and p.
14
Let w = 106607/15 + -7110. Let l = -2/1409 - 128203/11272. What is the common denominator of l and w?
120
Calculate the lowest common multiple of 1*10 - (-8 + 3) and 8.
120
Let t = 4357 - 60923/14. What is the common denominator of t and -99/16?
112
Calculate the common denominator of ((0 - -2)/10)/(20/1450) and 52/7.
14
Let o = -69 - -342/5. Let x = -14956/7 - -2143. What is the common denominator of x and o?
35
Let y = -7 - -17. Suppose -3*q - d = -2*q - y, 59 = 5*q - 4*d. What is the lowest common multiple of ((-4)/8)/(2/(-16)) and q?
44
Suppose -22*h = -18*h - 36. Calculate the least common multiple of 36 and h.
36
Let a(t) = 2*t + 6. Let q = 6 - -3. Let h be a(q). Suppose -2*w - w = -h. Calculate the lowest common multiple of 14 and w.
56
Find the common denominator of (-40)/(-50) + (-126)/(-55) + 0 and 121/6.
66
Let w = -13589 - -244529/18. Find the common denominator of ((-76)/6)/((-128)/60) and w.
144
Calculate the common denominator of -99/86 and ((-3810)/8)/(-5)*(-12)/(-162).
774
Let x(d) = 3*d - 10. Calculate the lowest common multiple of 78 and x(8).
546
Suppose 159 = 5*q + 49. What is the smallest common multiple of 20 and q?
220
Let k = 213443294/183 - 1166365. Let f = -8/61 + k. Calculate the common denominator of -38/11 and f.
33
Let o = 320101/150 + -2134. Let n = 589/1650 + o. What is the common denominator of -119/6 and n?
66
Suppose -4*r - 28 = -2*f, f + f + 2 = -2*r. Calculate the lowest common multiple of 2/f + (-2)/(-4) and 2.
2
Let z(l) = 16*l - 6. Let u be z(6). Suppose -h - f + 2*f + 529 = 0, 2*h - 5*f - 1064 = 0. Calculate the common denominator of 53/16 and h/u + (-5)/(-25).
144
Calculate the common denominator of 2 - (95/(-90) - 1) and 28/39.
234
Let o(b) = b**3 - 6*b**2 + 7*b - 4. Let a be o(5). Let k(s) = s**2 + s. What is the lowest common multiple of (-249)/(-18) - (-1)/a and k(2)?
42
Let w(q) = q**3 + 9*q**2 - 3*q - 5. Calculate the least common multiple of w(-9) and 22.
22
Let j(o) = -2*o**3 - 8*o**2 + 3*o - 7. Let x(i) = -3*i**3 - 8*i**2 + 4*i - 8. Let w(v) = -4*j(v) + 3*x(v). Calculate the least common multiple of w(8) and 12.
12
Suppose 4*o + 4 = 6*o. Suppose 6 = -0*c + o*c. Suppose -3 = -a + c. Calculate the smallest common multiple of 1 and a.
6
Let a = 6859 + -322385/47. Calculate the common denominator of a and -85/4.
188
Let h = 67499/8 - 8449. Calculate the common denominator of h and ((-2)/6)/(8/570).
8
Suppose 0 = 2*d - d + 1698. Let b = 13499/8 + d. Let c = -51/11 - -508/55. What is the common denominator of b and c?
40
Suppose -k + 3 = 2*d + 2*d, 4*d + 6 = 2*k. Suppose -3*t - 1 = -z - d*t, 3*z - 3*t - 9 = 0. What is the least common multiple of 9 and z?
36
Suppose -3*w + 4*i = -18, 0*i - 2*i = 2*w - 12. Let z = w + -3. What is the least common multiple of 1 and z?
3
Let h be 34/(-6)*(-11 - -8). Find the common denominator of 93/10 and (-2)/h + 1066/(-476).
70
Calculate the common denominator of 4/(1408/(-4332)) - 4/(-22) and 17/8.
8
Let u(j) = j**3 + j + 2. Calculate the least common multiple of u(0) and 3.
6
Find the common denominator of 1 + 2 + (-923)/78 and -75/2.
6
Suppose 1 = -t + 13. Find the common denominator of -69/10 and 3/t + (-77)/6.
60
Suppose -2*s + 3*w - 4*w + 43 = 0, s = 4*w + 44. What is the smallest common multiple of s and 24?
24
Suppose 0*l - 4*d - 40 = -4*l, -5*l + 30 = -d. Suppose 79 - 209 = -l*u. What is the smallest common multiple of u and 6?
78
Suppose 0*j - 5 = -j - h, -2*h = 0. What is the least common multiple of 7 and j?
35
Let g = -22777/10 + 2275. What is the common denominator of g and (-2)/(-6)*-76 - -2?
30
Suppose 67*b - 72 = 61*b. Calculate the lowest common multiple of b and 38.
228
Let v(n) = 4*n + 6 - 2*n - 3*n. Let i be v(4). Suppose i = -w - 2*z + 12, -z - 72 = -5*w. Calculate the lowest common multiple of 22 and w.
154
Suppose 47 = 2*z - 3. Let g = -15 + z. Let k(l) = -3*l. What is the lowest common multiple of g and k(-3)?
90
Suppose 0 = -0*f - 4*f + 56. Calculate the lowest common multiple of 12 and f.
84
Find the common denominator of -69/16 and 425/(-45)*(-12)/16.
48
Let b = 14 + -8. Suppose 4*a = -0*a - 72. Let i = -8 - a. What is the smallest common multiple of b and i?
30
Let k = 124 - 113. What is the smallest common multiple of 22 and k?
22
Let v = -17 + 37. What is the smallest common multiple of v and 26?
260
Let h = -11 + 4. Let x(g) = -g**2 - 11*g - 8. Calculate the least common multiple of 20 and x(h).
20
Let j = -118057/22 - -5365. Find the common denominator of -9/22 and j.
22
Let n = -13 + 22. Let z = 3 + n. Let h = 28 - z. What is the smallest common multiple of h and 2?
16
What is the common denominator of 91/8 and 8/(-14)*(-470)/40?
56
Let t = 18 - 5. Suppose -t + 1 = -2*f. What is the lowest common multiple of 10 and f?
30
Let u(t) = -5 + t - 3*t + 3*t + 2*t. Calculate the least common multiple of u(4) and 3.
21
Suppose i = 5*i + 3*n - 28, 0 = n. Let k = -15 + 19. Suppose 10 = -a - 4*a, -o = k*a + 1. What is the lowest common multiple of o and i?
7
Suppose -3*g + 3*i = -8*g + 19, -g = -i - 7. What is the smallest common multiple of g and 7?
35
Suppose r + 3*r = 16. Suppose 3*n - 13 = -c - 0, -4*n = -2*c - r. Let w = c + -2. Calculate the smallest common multiple of 2 and w.
2
Calculate the common denominator of 54/5 and ((-2)/4)/((-3)/75).
10
Suppose 2 = -v - 0*v. Let w = v - -6. Suppose 2*o - w*o - 5*z = -39, -5*z + 25 = 0. What is the smallest common multiple of 2 and o?
14
Calculate the common denominator of 34*3/(-120)*8 and -5/2.
10
Calculate the least common multiple of (-3)/((-1)/(-2) + (-5)/4) and 11.
44
What is the common denominator of 16/13 and 3 + (-1484)/66 - 10/55?
39
Suppose 3 = 8*d - 7*d. Suppose d*y = 526 - 196. Calculate the common denominator of 99/2 and 4/(-22) - 1058/y.
10
Let w = 150 - 146. What is the least common multiple of 9 and w?
36
What is the common denominator of 13/10 and (-5)/(-11) - (5 + -1)?
110
Let t = -4185 + 50249/12. Let p be (-1994)/3 + 9/(-3). Let v = 31895/48 + p. Find the common denominator of v and t.
48
Calculate the smallest common multiple of (-1 + -2 + -19)*-1 and 14.
154
Suppose -2*n + 0 = -12. Let v(a) = -a**3 + 3 + a**2 - 5*a**2 - n. What is the least common multiple of v(-5) and 4?
44
Suppose -4 = -5*l + 36. Let c(t) = -2*t + 2. Calculate the least common multiple of c(-6) and l.
56
Let z = 1025 + -6173/6. Let k = 1031933/30 - 34394. Find the common denominator of z and k.
30
Let q = 10 + 20. Find the common denominator of ((-5)/(-4)*q)/(-18) and -91/8.
24
Let n = 3/43 + -311/1376. What is the common denominator of 71/12 and n?
96
Let f(o) = 4*o + 4. Suppose -8 + 0 = -4*t. Calculate the lowest common multiple of f(3) and t.
16
Calculate the common denominator of (-393)/70 + 36/(-126) and (-173)/(-6) - (-2)/3.
10
Suppose 5*z - 3*m - 278 - 992 = 0, -508 = -2*z + 2*m. Let g = -46787/10 + 4672. What is the common denominator of g and (-4)/6 + z/120?
20
Find the common denominator of -69/58 and 2/17 + (-3)/340*546.
290
Let x be 2 + (4 + -1 - -3). Let l = 19 - x. Calculate the smallest common multiple of l and 3.
33
Find the common denominator of 145/6 and ((-15)/6)/(40/(-25)).
48
Find the common denominator of -123/40 and (1/(-20))/((-7)/(-63))*-24.
40
Suppose 0 = x - 75 - 30. Suppose 0*v + 5*v - 5*c - x = 0, -24 = -v + 2*c. What is the lowest common multiple of 1/(1/36*2) and v?
18
Suppose -w + 5*g + 125 = 4*w, -3*w = 2*g - 55. Let v = w - -23. Calculate the common denominator of 69/10 and v.
10
Let g = -126029/17772 + 12/1481. Calculate the common denominator of