 + 20. Let t be (-14)/3 - (-12)/l. What is the common denominator of (7/t)/(6/65) and 61/10?
30
Suppose -x + 177 = -4*x. Let l = 23 + x. What is the lowest common multiple of l*((-8)/6 + 1) and 14?
84
Let h = -45 + 69. Find the common denominator of -95/14 and 0 - (-4)/(h/69).
14
Suppose 2*n = 3*y + 63, 2*y + 7 = 1. Suppose -n = l - 4*l. Suppose 4*t - 27 = -s, -5*s + 2*t + l = -38. Calculate the lowest common multiple of s and 9.
99
Suppose 5*d + 0*d = 20. Suppose -d*c = -31 - 5. Suppose 3*h + 4*q = 7, 2*h + h + q = 22. Calculate the least common multiple of c and h.
9
Let b(o) = -4*o + 278. What is the lowest common multiple of 272 and b(-24)?
2992
Suppose 0*p + p = 6. Suppose 78 = p*s + 54. What is the lowest common multiple of s and 15?
60
Let b be (-3)/9 + (-50)/(-6). Let o = 12 - b. Suppose 0 = -o*t - 4*r + 76, -3*t = -t + 5*r - 41. What is the lowest common multiple of t and 10?
90
Suppose g - 28 = -2*p, -p + 70 = 4*p + 2*g. What is the least common multiple of p and 2 + -3 + 6*100/8?
518
Let z = 41 + -60. Let w be ((-12874)/264)/(z/(-15)). Let a = 1/836 - w. What is the common denominator of -91/16 and a?
16
Let z = 746 - 4573/6. What is the common denominator of z and -37/27?
54
Let y(d) = 6014*d + 3. Let t be y(-2). Let l = 144439/12 + t. Let i = -146/19 + -815/114. Calculate the common denominator of i and l.
12
Let k be 3/(-3) - (-6)/2. Suppose h - 4 = -k*c, -7*h + 2*h + 5*c = -20. Calculate the smallest common multiple of 12 and h.
12
Let d be (-12)/9*(-3)/2. Suppose -14 + d = -3*c. Calculate the least common multiple of c and 14.
28
Calculate the common denominator of -83/184 and (-2)/(-40)*(13 + -134).
920
Suppose -81 = -3*p - 40*t + 43*t, -p + 4*t = -42. Suppose 10 + 10 = x - a, -x - 5*a + 32 = 0. What is the lowest common multiple of x and p?
22
Let j = 1660 - 844. Calculate the smallest common multiple of 2 and j.
816
Let h be (2/4)/(2/48). Suppose -2*n + h = 4*l, -3*l = -n + l - 6. What is the least common multiple of n and (44/(-6))/((-112)/168)?
22
What is the least common multiple of (29 - -1)/(12/40) and 20?
100
Let m be ((-40)/14)/((-12)/42). Suppose -50 = -2*t - m. Calculate the lowest common multiple of 12 and t.
60
Let r(n) = 33*n - 389. Calculate the least common multiple of r(12) and 152.
1064
Let h = 4725 - 170081/36. What is the common denominator of h and -17/24?
72
Suppose -5*l + 0*l + 2*b = -22, -5*l + 5*b = -10. Let s(i) = -i**2 - 20*i + 51. What is the least common multiple of s(-22) and l?
42
Suppose -n - 112 = -5*k + 2*n, 3*n + 52 = 2*k. Let h = k - 6. What is the smallest common multiple of 12 - (1 - 2/2) and h?
84
Calculate the common denominator of -29/14 and (-2)/(-42)*14691/2158.
182
Calculate the smallest common multiple of -9*1*14/(-6) and (-23 + (-7 - 6))*((-10)/(-8) + -2).
189
Suppose 5*m = 77 - 22. Let d = -4 + 12. Suppose -x - x = -d. Calculate the least common multiple of x and m.
44
Let f = 117103 + -28456078/243. Find the common denominator of -125/162 and f.
486
Suppose 190 = 2*o + 3*o. Let w = o - 36. Calculate the smallest common multiple of w and 2.
2
Suppose 25 = 5*m, -3*n - 5*m + 20 + 8 = 0. Calculate the lowest common multiple of n - 4/((-10)/5) and 10.
30
Suppose -43 = 7*a - 71. What is the smallest common multiple of a and (9/(-6))/(1/(-2))?
12
Let x(f) = -f**2 + 9*f - 11. What is the least common multiple of 90 and x(5)?
90
Let h(t) = 2*t - 1. Let x = -6 + 12. What is the least common multiple of (-5 + 12)*(-10)/(-7) and h(x)?
110
Suppose 0 = -21*z + 12*z + 2124. Calculate the smallest common multiple of 8 and z.
472
Let w = 2609612/81 + -32217. Let b = 32/403 - 26771/7254. Calculate the common denominator of b and w.
162
Suppose -2*p - 3*p = -30. Let q(c) = c**3 - 10*c**2 - 33*c - 60. What is the least common multiple of p and q(13)?
18
Let j(w) = 64*w**2 - 7*w + 1. Let n be j(-5). Let p = n - 6513/4. Find the common denominator of p and 51/22.
44
Suppose 16*a = 20*a + 708. Find the common denominator of a/81 + 5/((-5)/(-2)) and 89/18.
54
Let i(k) be the second derivative of -25*k**3/6 + k**2 + 14*k. Calculate the lowest common multiple of i(-1) and 9.
27
Calculate the common denominator of (2/448)/(30/2670) and 97/12.
672
Let b be (-208)/24 + (-1)/3. What is the common denominator of -59/12 and (-39)/(-18)*b/(-30)?
60
Let s = 2182189 - 19660718/9. Let k = -2332 - s. Calculate the common denominator of -32/5 and k.
45
Let j = -106343/140420 + 36/1003. Calculate the common denominator of j and -31/12.
420
Suppose 0 = -3*w - 3*b + 63, 0 = 4*w - 3*w - 2*b - 24. Calculate the lowest common multiple of 5 and w.
110
Let j be ((-3)/(-4))/((-14)/224). Let l = j - -12. Suppose 5*o - 68 + 8 = l. Calculate the least common multiple of o and 4.
12
Let q be -3 + 2/((-8)/(-28)). Suppose -48 = -5*b + w - 10, -q*b + 3*w = -37. Suppose 0*k = 5*k - 50. Calculate the least common multiple of k and b.
70
Let x = 154 + -106. Suppose 2*q = -h + 7, x - 13 = 5*h - 2*q. Calculate the smallest common multiple of 1 and h.
7
Let y be (-14)/(-12)*224571/63. Let m = y + -4157. Find the common denominator of m and 13/8.
72
Let r = 611 + -422. Calculate the lowest common multiple of 3 and r.
189
Suppose -151*t + 158*t = 35. Suppose s = -5*a + 15, 0*a = 2*a + 5*s + 17. Calculate the least common multiple of t and a.
20
What is the common denominator of (464/(-24))/(-6 + (-1736)/(-20)) and -11/15?
3030
Let z be (-358462)/(-47796) + 18/(-5) + 4. Let p = z - -2/11949. Calculate the common denominator of p and -91/8.
40
Let j = 4 + -2. Let a(i) = 13*i**3 + 2 - 25*i**3 - 2*i**2 + 8*i + 11*i**3. Calculate the lowest common multiple of a(-4) and j.
2
Let t = 0 - -5. Let x(m) = -m**3 + 6*m**2 - 3*m - 7. Let l be x(t). Suppose -14 = -l*k + 2*k. What is the smallest common multiple of 2 and k?
14
Let l = 23/210 + -8971/420. Let a be 216/(-410) - 18/(-30). Let r = a + 225/287. Calculate the common denominator of l and r.
28
Let j(c) = -2621*c**3 - c**2 + c + 1. Let q be j(-1). Let r = -26309/10 + q. Find the common denominator of 21/8 and r.
40
Let f be (-4 + -2 + 10)/(-2). Let q be (-84)/9*3/f. Find the common denominator of (21/q)/((-9)/(-131)) and 77/8.
24
Let r = 29031584 + -44302189991/1526. Let l = r - -1/1526. Find the common denominator of l and -31/3.
21
Let a(o) be the third derivative of o**6/120 - 7*o**4/24 + 3*o**3/2 + 4*o**2. What is the least common multiple of 4 and a(2)?
12
Let a = -780/41 + 26892/1517. Let o = a + 499067/384726. Let p = o + -337931/41592. Find the common denominator of p and 29/4.
8
Let q(s) = -5*s**3 + 24*s**2 + 7*s - 4. Calculate the lowest common multiple of q(5) and 1772.
5316
Suppose -3*i + 6*i + 18 = -2*f, -5*f - 11 = -i. Find the common denominator of (-6)/i - 166/(-8) and -15/4.
4
Suppose -y = -3, -4*y - 3 = -2*q - 1. Suppose 5 = -j + q. Calculate the smallest common multiple of 18 and 16 + j + -3 - -3.
18
Suppose 0*a + 2*a = 588. Find the common denominator of ((-432)/a)/4*(-42)/3 and -26/61.
427
Let o = 82 - 11. What is the common denominator of -1 + 4 + (-166)/(-20) and ((-6)/36)/(1/o)?
30
Let j = -97 - -107. Suppose 30 = 15*o - j*o. Calculate the least common multiple of o and 9.
18
Let w = -3922539/130 + 30174. What is the common denominator of w and (30/(-16) + 2)/(30/((-54540)/18))?
520
Let p(n) = -16*n**2 + 2*n - 1. Let k be p(1). Suppose 2*j + 10 = 0, 4*y + 6 = 3*j + 37. Calculate the least common multiple of y and (-215)/(-25) + (-6)/k.
36
Let c = 17 + 7. Suppose 0*m + c = 3*m. Calculate the lowest common multiple of m and 4.
8
Calculate the common denominator of 55/48 and (-111)/21 - -5 - (-19)/42.
48
Suppose -x + 16 = -3*d, d + 17 = x + 1. Calculate the lowest common multiple of 64 and x.
64
Let y = -39 - -75. Suppose 0*v + 54 = 5*v + q, y = 4*v - q. What is the smallest common multiple of v and (-108)/(-5) - 2/(-5)?
110
Let h = -7/4672 - -3472471/4672. Let d = h + -747. Find the common denominator of d and 87/4.
4
Let n = 21 - -162. What is the lowest common multiple of n and 4?
732
Let t = 282445506753 + -21026655750790754/74445. Let s = 2/10635 + t. What is the common denominator of s and -51/7?
7
Let m = 592 - 586. What is the lowest common multiple of 10 and m?
30
Suppose -4*s + 0*s - 5*j = -3344, 5*s - 3*j = 4143. Let h = s - 1627/2. Calculate the common denomi