 8*h - 7. Let i be c(9). Let u = i + 4. Let f = 20 - 6. Calculate the lowest common multiple of u and f.
42
Let q = -128233/33 + 3885. Find the common denominator of -37/144 and q.
1584
Let z = 12 + -13. Let w = 6 - z. Suppose l - w = -0*l. What is the lowest common multiple of l and 5?
35
Let a(c) = 3*c. Let i = 10 - 13. Let t be a(i). Find the common denominator of (3/t)/(80/516) and 139/6.
60
What is the common denominator of (5 - 0 - -63)*2/(-150) and 173/30?
150
Suppose 2*g - 1 + 5 = 0. Let b = g - -11. Calculate the lowest common multiple of 4 and b.
36
Find the common denominator of (8/(-16))/(420/(-1270)) and -49/8.
168
Let o(y) = -y**3 + 8*y**2 - 9*y + 28. Calculate the lowest common multiple of o(7) and 36.
252
Let y = -320243/121610 - -1/36483. Calculate the common denominator of y and -109/36.
180
Let w = -1813/3384 + 3/376. Calculate the common denominator of w and ((-14)/5)/((-16)/(-60)).
36
Suppose 5*n + 125 = 5*c, 4*c = -3*n - 27 - 13. Calculate the common denominator of 1 - 0 - 1 - (-114)/n and -53/14.
70
Let s = 78 - 46. Let t = -18 + s. Calculate the least common multiple of t and 8.
56
Let h = 352455/178 - 1980. Calculate the common denominator of 17/20 and h.
1780
Let h = 92 + -83. Calculate the lowest common multiple of 11 and h.
99
Suppose -4*n + 2*d = -82, -4*d = 2*n - 58 + 12. Let h(q) = 2*q - 3. What is the lowest common multiple of h(15) and n?
189
Let t be ((-2)/(-2))/(1/(-1457)) - -2. What is the common denominator of (0 - (-6)/(-15))/((-576)/t) and 35/12?
96
Suppose -4*h - h = 15. Calculate the common denominator of (h/8)/((-9)/93) and 1/6*-162*1/20.
40
Suppose -2*f + 2*k - 48 = 6*k, 3*f - k = -93. Let p = 5/6 - 1/12. What is the common denominator of 134/f*21/14 and p?
20
Let y = -64 - -88. Calculate the least common multiple of y and 22.
264
Let r be 56/(-12) + 2/3. Let c = r + 6. Suppose -5*n + 2*n = -c*a - 29, a = 4*n - 42. Calculate the least common multiple of n and 10.
110
Let c = 3 + -1. What is the common denominator of (2 - (-117)/2)/(-3) and (-1107)/126 - c/(-2)?
42
Let b = -332 - -338. Let x = -2 - -8. Let h = 5 + x. What is the smallest common multiple of b and h?
66
What is the common denominator of (204/8)/(63/(-56)) and -17/2?
6
Let b be (-39)/(-2)*64/(-18). Let f be 9/(-12) + -3 + (-503)/6. Let q = b - f. Find the common denominator of 9/4 and q.
4
Calculate the common denominator of (-203)/66 - (-11)/(-33) and (-2)/(-7) + 223/(-70).
110
Let f = 6747 - 40379/6. Find the common denominator of 4*(15/5 - 5) and f.
6
Calculate the smallest common multiple of ((-84)/(-56))/((-2)/8) - -102 and 72.
288
Suppose 4 = -2*p - 2*b - b, 3*b = -5*p + 8. Suppose 5*r = 2*g + 5, -p*g + 30 = -2*r - 0*r. What is the lowest common multiple of 22 and g?
110
Let h(r) = r**2 - 23*r + 46. Let p be h(19). What is the lowest common multiple of 14 and ((-32)/10)/(102/p - -3)?
56
Suppose 0 = -25*a + 22*a - 66. Find the common denominator of -19/10 and (-911)/132 + 4/a.
60
Let l = -1281/778 + 10625005/7002. Let f = l + -1513. What is the common denominator of -97/4 and f?
36
Let m(t) = t**2 - 18*t - 64. Let f be m(26). Find the common denominator of (-1)/(f/555) - 1/3 and 107/14.
112
Suppose 3*u = u + 14. Suppose 11696 - 11738 = -7*f. Calculate the smallest common multiple of u and f.
42
Let y(x) = 3*x**2 - 5*x - 1. Calculate the lowest common multiple of y(-2) and 28.
84
Suppose 1754*b = 1747*b + 399. What is the smallest common multiple of 3 and b?
57
Find the common denominator of 226/24 - (0 + -1) and -47*2/(-30)*3.
60
Let w = -52300/261 - -13/261. Let d = 403/2 + w. What is the common denominator of -103/62 and d?
186
Suppose 2*z + 5*l + 452 = l, -3*l = -2*z - 473. What is the common denominator of (-2)/((-14)/19) - -1 and (-6)/15 + z/(-30)?
21
Suppose -t = -4*t - 5*m + 67, 2*m + 15 = t. Let o = -11 + t. Calculate the common denominator of -125/6 and 93/o + (-4)/8.
24
Let y be ((-2)/(-4))/((-6)/(-36)) - 59. What is the common denominator of 65/3 and (-1)/(-2) + (-108)/y + 0?
21
Suppose 10 = 3*w - c + 3*c, 3*c - 16 = -5*w. Let b = 18 - -14. Suppose b = 5*v - v. Calculate the smallest common multiple of w and v.
8
Let x be 3 + -3*4/(-12). Let z be (0 - 2)/((-2)/x). Suppose 5*k - q = -0*q + 21, 5*k - z*q - 24 = 0. Calculate the lowest common multiple of 2 and k.
4
Let o(l) = 3*l**3 + 9*l**2 - 2*l - 2. What is the least common multiple of o(3) and 70?
770
Suppose -37 = 2*p + 3*n, -4*p - 2*n - 55 = 7. Let t = p + 20. Let g = -4274 + 4278. What is the least common multiple of t and g?
12
Let j = -5080145/468 - -10855. Let o = j + -5815/3276. What is the common denominator of 79/22 and o?
154
Let o(k) be the first derivative of -8*k**3/3 - k**2 + 6*k + 7. Let m be o(2). Calculate the common denominator of 4/m - 292/24 and -77/16.
80
Find the common denominator of -31/40 and (-1 + -1)*(-9 - 890/(-112)).
280
Let r(g) = -g**3 + 10*g**2 - 13*g + 36. What is the lowest common multiple of 72 and r(8)?
360
Let p = 903 + 1651. What is the lowest common multiple of 2 and p?
2554
Let x = 3/181 + -2359/362. Calculate the common denominator of ((-348)/(-8) - 8)*(-4)/18 and x.
18
Let l be (-4)/30 + (-5339)/1020. Let i = 2/17 + l. Calculate the common denominator of -65/12 and i.
12
Suppose 150 = -18*a + 23*a. What is the least common multiple of 21 and a?
210
Let g(k) = -k + 6. Let x be g(3). Suppose x*w + 2*w - 20 = 0. Suppose -4*b + 20 = b. Calculate the least common multiple of b and w.
4
Let o = -176 - -178. Calculate the smallest common multiple of 1 and o.
2
Calculate the common denominator of (11/88)/(2/(-41)*-1) and -1 + -2 - (-172)/8.
16
What is the common denominator of (-631)/(-1820) - ((-465)/(-65) - 7) and -26/245?
980
Let u be -74274*(-4)/148 - -2. Let w = u - 2010. Let k = w + 849/370. Find the common denominator of -31/4 and k.
20
Let w(t) = t**2 + 5*t + 8. Let c(o) = -o**2 - 3*o - 4. Let r(z) = -7*c(z) - 4*w(z). Let m = 81 - 79. What is the lowest common multiple of r(m) and 20?
20
Let x = 7/6971 + 22223513/34855. Let s = -632 + x. Find the common denominator of s and (-12)/54*1/2.
45
Let z(a) = -a + 11. Let p(v) = -2*v + 12. Let w(s) = 2*p(s) - 3*z(s). Suppose -60 = -4*f - 24. What is the smallest common multiple of f and w(-13)?
36
Calculate the common denominator of 251/6 + (-28)/(-42) and (0 - (-52)/(-24)) + (-9)/12.
12
Suppose -2*v + 20 = 2. Let r(t) = t**2 - 11*t + 20. Let m be r(v). Suppose -4*p + m = -30. What is the least common multiple of p and 8?
8
Let f = -9161 - -329861/36. What is the common denominator of -13/56 and f?
504
Let b be (-23997)/231 + 4/(-1). Let j = b - -1469/14. What is the common denominator of -9/14 and j?
154
Let y = 96947/32 - 3029. Calculate the common denominator of (-796)/(-2288) - 116/(-319) and y.
416
Let n(w) = -50*w + 5. Let q(d) = 99*d - 9. Let s(y) = -7*n(y) - 4*q(y). Calculate the common denominator of s(1) and (-2)/(-5) - 42/(-4).
10
Let r(n) be the first derivative of -n**3/3 + 11*n**2/2 - 6*n - 16. Calculate the least common multiple of r(9) and 16.
48
Let i(v) = -2*v - 24. Let n be i(-13). Suppose 4*f - 3*l = 29, f + n*l - 7 = 3. Calculate the smallest common multiple of 10 and f.
40
Let u = -239/3 + 84. Find the common denominator of -85/72 and u.
72
Let a = -40 - -67. Suppose -142 = -5*t + 5*c - a, 25 = t - 3*c. What is the lowest common multiple of t and 6?
66
Let m = -713/494 + -14/247. Let c be 1 + (-7311)/824 + 2. Let k = 1/412 - c. What is the common denominator of k and m?
8
Suppose -5*d + 3*b + 532 = -b, 2*d - 202 = -2*b. What is the least common multiple of d and 8?
104
What is the least common multiple of 48 and 2/4*(-27)/((-432)/2560)?
240
Let o = 570 - 565. What is the least common multiple of 46 and o?
230
Let r(o) = o + 7. Let b be r(-5). Suppose b*k = -z - 43 - 37, -k = 2*z + 40. Let n = 58 + k. What is the smallest common multiple of n and 6?
18
Suppose 2*h = -h + 6, 0 = 4*b + 2*h - 12. Suppose -2*k + 2*q + 36 = 24, 2*k - 37 = -3*q. Calculate the smallest common multiple of k and b.
22
Let y be (-2)/(-10) - ((-324)/(-20) + 4). Find the common denominator of -7/20 and 497/y - ((-34)/(-10) - 4).
20
Let b(x) = x**3 + 7*x**2 + 3*x - 3. Let u be b(-6). Let l = -7769/5 - -1552. What is the common denominator of l and (-6)/u + 186/40?
20
Let r = -19636083/20 + 98