e (-211458)/80*(-12)/9. Let p = -3534 + a. Find the common denominator of p and 65/6.
30
Let b(r) = -3*r + 1. Let m be b(-7). Suppose 0 = -4*x - i + m, 5*i = -9*x + 4*x + 20. Calculate the least common multiple of 4 and x.
12
Let w = 219281441 + -523424791388/2387. Let z = -3/217 + w. Find the common denominator of z and (-4)/18 + 312/27.
33
Suppose n - 15 = -4*n. Suppose 42 = 5*b + 4*k, b + b - 5*k = -n. What is the smallest common multiple of b and 1/(-2) + 21/2?
30
What is the common denominator of 486/112 - (-7)/((-49)/(-2)) and -103/24?
24
Let l(w) = -115*w - 13. Let j be l(-9). Let v = -3032/3 + j. Calculate the common denominator of v and -107*((-11)/(-6))/(-11).
6
What is the smallest common multiple of (-56)/(-20) - 3 - 46/(-5) and 18?
18
Let x = -1081/505 + -6/101. Calculate the common denominator of x and 3/2*(-21)/(-9).
10
Suppose 141 = 17*c + 39. Suppose -3*y = 4*j - 20, 0 = -y - 2*y - j + 32. Calculate the least common multiple of c and y.
12
Let c = -19959/22 - -907. Find the common denominator of c and -101/20.
220
Let a = -1190 + 8367/7. What is the common denominator of a and -29/8?
56
Calculate the common denominator of 33/10 and 6/2 + (-994)/(-56).
20
Let d(v) = 42*v**2. What is the least common multiple of 8 and d(1)?
168
Let b(v) = v**2 - 8*v - 1. Let j be b(8). Let f be 1/(j*1/(-2)). Suppose 3*y = 3 - 0, 10 = 4*a - f*y. Calculate the smallest common multiple of a and 8.
24
Let s be (-2)/(-2)*(0 - 1). What is the common denominator of s + 242*2/24 and (1 - 2) + 51/36?
12
Let p(f) be the first derivative of -f - 1/4*f**4 + 3 - 2*f**2 + 8/3*f**3. What is the lowest common multiple of p(7) and 14?
140
Let y(o) = -o**2 - 4*o - 1. Let g be y(-4). Let l be 0/(0 + g) - 0. Suppose l*q + 5*q = 25. Calculate the smallest common multiple of 11 and q.
55
Let t(d) = -6*d**2 - 4*d - 5. Let a be t(5). Find the common denominator of (-9)/(-12) - a/(-15) and -71/18.
36
Let i(p) = -p**2 - 10*p + 2. Suppose -3*h - 5*d = 4, h + 3*h - 2*d = -40. Let v = -9 - -15. Calculate the smallest common multiple of i(h) and v.
18
Calculate the common denominator of (0 - -3)*(-2 + (-26)/(-14)) and -101/2.
14
Let f = 10 + -9. Calculate the common denominator of 11/3 and 4*f/16 + 6.
12
Calculate the lowest common multiple of 3 and (0 - 0) + 10 + -4.
6
Suppose 2*w - 5*l = -12, -4*w = -2*l + 22 + 2. Let f be (2 + 20/w)*36. Let m = f + 26. Find the common denominator of m and -18/5.
5
Calculate the common denominator of 103/68 and (-4)/(-9) - (2 - 45/18).
612
Let n = 15 + -10. Let a be 1766/8*n/(-170). Let c = a + -1/136. Find the common denominator of c and 91/12.
12
Let d = -1058 - -9572/9. Let m = -5/752 + -39801/8272. Calculate the common denominator of d and m.
99
Let f(t) = -t**2 + 7*t + 11. Calculate the smallest common multiple of f(7) and 7.
77
Let q = 9203/4 + -2320. Calculate the common denominator of ((-23)/(-10))/((3/(-1))/6) and q.
20
Find the common denominator of (-2)/9 + (-2041)/(-234) and 77/12.
12
Let c(z) = z**2 - 5*z + 3. Let f be c(5). Let h = 23 - f. What is the smallest common multiple of 12 and h?
60
Let g = 10 + -3. What is the smallest common multiple of 6 and g?
42
Suppose 3*q + 34 = b, -4*b - q - 10 + 94 = 0. Calculate the least common multiple of b and 26.
286
Let j(v) = -v**2 + 5*v + 5. Let y be j(5). Suppose -a + 3*a = -3*s - 141, -y*a + s = 361. What is the common denominator of (-27)/(-2)*6/a and -15/11?
88
Let b = -35 + 61. What is the smallest common multiple of b and ((-24)/9)/((-2)/3)?
52
Let w = 6 + -9. Calculate the common denominator of ((-258)/(-24))/(w/2) and -31/18.
18
Suppose 3*a - 6*a + 36 = 0. Let j(o) = -o + 10. Let r be j(7). Suppose 89 - 23 = 3*i + 4*f, -45 = -2*i - r*f. What is the lowest common multiple of i and a?
36
What is the common denominator of (1620/(-384))/(((-18)/(-8))/3) and 68/33?
264
Let q = 10 + -7. Calculate the lowest common multiple of 10 and q.
30
Suppose 0 = -u + 4, -4*p = -2*p + 3*u - 22. Let w(g) = g**2 + 12*g + 27. What is the smallest common multiple of p and w(-10)?
35
Let j(o) = -15*o + 3. Calculate the smallest common multiple of 18 and j(-2).
198
Let h = -14 - -23. Let g(n) = -n**2 + 10*n - 5. What is the lowest common multiple of g(h) and 2?
4
What is the common denominator of 11/(-4) - (4/(-2) + -1) and -103/22?
44
Suppose 14 = 2*a + s, s - 11 = -3*a + 2*s. Suppose -91 = -5*q + 2*o + 9, 0 = -4*q + a*o + 80. Calculate the smallest common multiple of 22 and q.
220
Let l = 13 - 8. Suppose 3*q - 5 = 2*x, 0 = l*x - 4*q + 8 + 1. Calculate the smallest common multiple of 7 and (x - -5)*(2 - 0).
56
Let v(t) = t**2 - t - 17. What is the least common multiple of 8 and v(5)?
24
Let t = -4 - -14. Let i = 8 - -16. Suppose 0 = -c - 2 + i. What is the smallest common multiple of c and t?
110
Suppose 10 = f + 3. Suppose 5*a + 17 = j - 14, 0 = -a - 5. Calculate the least common multiple of j and f.
42
What is the smallest common multiple of 11 and 23 - -1*(3 - 2)?
264
Let z = 7/2220 + 26989/6660. What is the common denominator of 1 + (1 - 57/(-16)) and z?
144
Suppose 0*m = -5*m + 25. Suppose -3*q + 38 = 4*b, 2*b - 3*b + 18 = m*q. Find the common denominator of (-2)/b + (-423)/12 and 87/8.
8
Suppose -4*g - 5*c - 24 = 0, 0*g - 2*g - 3*c = 14. What is the common denominator of (2/g - 0)/(-3) and -40/9?
9
Let p(b) = b**2 - 11*b + 6. Let j(z) = z. Let g(s) = 5*j(s) + p(s). Let a be 4*(1/(-2) - -2). What is the lowest common multiple of 5 and g(a)?
30
Let q(a) = 27*a**3 + 2*a**2 + 1. Let l be q(3). Let j = l - 6047/8. What is the common denominator of j and 33/2?
8
Let s = -33 - -732. Suppose 3*l + 0*l = 3*b - 1062, 2*l + s = -b. Let p = l + 689/2. Find the common denominator of -20/7 and p.
14
Let b = -3 + 5. What is the lowest common multiple of 7 and b?
14
Suppose -t + s - 2*s = -8, 3*s = 4*t - 39. What is the smallest common multiple of 12 and t?
36
Let a = 5 + -6. Suppose 9*j = 4*j - 15. Calculate the lowest common multiple of (a - j)*(0 + 2) and 12.
12
Let r(b) = 4*b + 7. Let i be r(6). Let m = 3 + -5. Find the common denominator of -5/6 and i*(-3)/24 + m.
24
Let k = 8 - 4. Suppose -2*w - 4*m = -28, w - k*m - 62 = -2*w. Calculate the common denominator of 2/(-16)*w/(-4) and 145/12.
48
Let x = -101449/21 + 30363/7. Let w = x + 485. What is the common denominator of w and 13/4?
12
Let t = 4 - 3. Suppose -3 = -2*l + t. Calculate the least common multiple of (-6 - 1/1)*-1 and l.
14
Let c = -404 + 244. Find the common denominator of (-4)/(c/58) - -2 and -107/10.
20
Let b = 110731/20 - 5541. What is the common denominator of (-1 + -36)*(-11)/88 and b?
40
Let p = -5644/9 + 173335/36. Let a = 4164 - p. Find the common denominator of a and -101/6.
12
What is the common denominator of 1/(-2) + (-60)/(-21) and (-252)/(-32) + (-2)/(-2)?
56
Suppose -4*d + 10 = -4*h + 9*h, -h - 5*d = -2. Let u be 35/11 - 2/11. What is the least common multiple of h - (-1 + -2 - u) and 18?
72
Suppose -16 = -5*k - 3*o, 0 = -5*k + 6*o - 4*o + 6. Suppose 0 = 5*d + k*q + 5, 7 = -3*d - 3*q + q. What is the common denominator of 61/6 and d - 1*49/(-8)?
24
Let n(y) = 10 - y + 3 - 8. What is the smallest common multiple of n(-6) and 1?
11
Let x = 37049/12 - 3090. Find the common denominator of -13/14 and x.
84
Let q = 9779/8 - 1227. Calculate the common denominator of 88/15 and q.
120
Let l(v) = v**2 - 13*v - 1. Let w be l(13). Calculate the lowest common multiple of 7/(14/(-8))*w and 10.
20
Suppose -7*s + 77 = -6*s. Let n = -303/4 + s. What is the common denominator of n and -13/4?
4
Let j(o) = -o**2 - 14*o - 5. What is the least common multiple of 9 and j(-13)?
72
Let f = -26/15 + -1231/60. Suppose -4*y - 2 + 22 = 4*z, 3*z = 5*y - 1. What is the common denominator of f and (4 - y) + 51/(-8)?
8
Let r = 178/129 + -2/43. Find the common denominator of r and 11/2.
6
Calculate the least common multiple of 12 + (5 + 1)/(-3) and -5*(-1 + 2 + -3).
10
Let q = 3140 - 62813/20. Let i = 9 + -6. Calculate the common denominator of q and (178/i)/(12/9).
20
Let w(m) = -m**2 + 9*m - 4. Let v be w(7). Let q = -6 + v. Calculate the smallest common multiple of 24 and q.
24
Suppose -5*y + 4*y + 7 = 0. Suppose -6 = -2*z - z. What is the least common multiple of z and (7 - 6)*(y + 1)?
8
Let a be (-5)/(-10) - 6/4. What is the lowest common multiple of