8)/(-2)*1)/1.
44
Let x = 412 - 218. Let r be -1*(1 + 0) - -5. Find the common denominator of x/r*(-3)/15 and 89/2.
10
Let z = -45 + 503/11. What is the common denominator of z and 2/3 - (-277)/12?
44
What is the lowest common multiple of (-35 + -1)/(12/(-6)) and 10?
90
Suppose 18 = 3*q - 3*k, 12 = q - 3*k - 2. Let n(f) = f**3 + 4*f**2 - 4. What is the least common multiple of n(-3) and q?
10
Let k(a) = -a**2 - 5*a + 6. Let i be k(5). Calculate the smallest common multiple of 6 and (2 - 5)*i/6.
66
Let z(f) = -f - 18. Let j be z(-8). What is the least common multiple of (44/j)/((-4)/20) and 34?
374
Suppose -4*f + 6 + 6 = 0. Suppose -f*q + 5*o = -35, 2*q - 37 = -4*o + 23. Suppose c = q - 0. Calculate the smallest common multiple of 6 and c.
60
Let z = -98139/72740 + -3/3637. Suppose 5*n + 10 - 4 = -4*p, -5*n + 5*p - 15 = 0. What is the common denominator of n - (-321)/54 - -2 and z?
180
Let m = 6/493 - 3998/4437. What is the common denominator of m and 49/13?
117
Suppose -f = 3, 3*x + 2*f - 27 = 7*f. Calculate the smallest common multiple of x and 22.
44
What is the smallest common multiple of 2 and (-2 + 5)/1 + 54/6?
12
Let g(o) = -o**3 + 10*o**2 - 9*o + 7. Let l = -14 + 21. Suppose 2*a = 4*f - l*f + 22, 2*f - 33 = -3*a. What is the least common multiple of a and g(9)?
77
Suppose 0 = 2*r - 0*l - l - 7556, -r + 4*l = -3764. Let h = 224/9 - 979/18. What is the common denominator of h and r/(-75) - 4/(-10)?
2
Let d be 4/1 + (-5862)/(-15). Let k = 390 - d. What is the common denominator of k and -8/9?
45
Let a = 16111/30 - 1627/3. Let c be 1/(-3) - (-24)/(-9). Calculate the common denominator of (59/c)/(2 - -1) and a.
90
Find the common denominator of 2/(-4)*(0 + (-318)/9) and -8/9.
9
What is the common denominator of 115/12 + (5 - 2) and 37/4?
12
Let r be (4/6)/(1/6). Let j = 11 - r. Calculate the lowest common multiple of j and 2.
14
Suppose -3*j - 10 + 1 = 0. Let l = -1 - j. Suppose -l*x + 3*x = 1. Calculate the lowest common multiple of 11 and x.
11
Let p = -2729/12 - -713/3. Calculate the common denominator of p and 0/3 + 21/4.
4
Suppose 52 = 4*z - 4*x, -2*z + 21 = -0*z + 3*x. What is the smallest common multiple of 24 and z?
24
What is the common denominator of 161/66 and -2 + (-194)/(-2)*6/162?
594
Let q = 561545/22614 + 6/3769. Find the common denominator of q and -35/12.
12
Suppose 3*t - 5*b + 21 = 0, -4*t - 53 + 2 = b. What is the common denominator of ((-1)/t)/(3/417) and 5 + (-2)/16*-50?
12
Suppose 0 = 5*g - 9 - 16. Suppose m = 2*m - g*b - 18, -2*b = 0. What is the least common multiple of 14 and m?
126
Let b = -25 + 18. Calculate the common denominator of 81/8 and (-361)/84 + 2/b.
24
Let y = -33 - -61. Suppose -y = 3*d + 5*i - 95, -2*d + i = -23. Suppose -10*z - 2*z + 96 = 0. What is the lowest common multiple of z and d?
56
Let y be (-21904)/(-66)*15/(-2). Let f = 5109 + -7595. Let b = f - y. Calculate the common denominator of 26/5 and b.
55
Find the common denominator of (-2)/15 - 84/(-80) and 21/8.
24
Let s be -2 + (2 - (-1 + -2)). Suppose -s*q = -78 + 30. Calculate the smallest common multiple of (-3 + 72/3)*(-12)/(-14) and q.
144
Let l be 1*(0 - 3)*-1. Suppose -l*w = -2*w - 8. Calculate the common denominator of 73/10 and (4 - w)*(-18)/(-80).
10
Let o(l) = -l**3 + 3*l**2 - 2*l + 1. Let v be o(1). What is the common denominator of 130/8 - (v + 2) and 113/6?
12
Suppose -5*c + z = -13, -2*z = -5*c + z + 19. Suppose -22 = -h - 3*y - y, 8 = c*y. What is the least common multiple of 10 and h?
30
Suppose 2*a = 3*l - 0*a + 2422, -4*l - 5*a - 3237 = 0. Find the common denominator of (-3 - -1)*l/(-224) and 97/10.
70
Let l(i) = 2*i + 8. Calculate the least common multiple of 20 and l(6).
20
Let g = 51475/13 - 3957. Calculate the common denominator of 1905/27*(-6)/(-20) and g.
78
Calculate the common denominator of 119/10 and 1/(-3)*36/(-8).
10
Calculate the common denominator of -31/8 and (65*(1 + 0))/(-4).
8
Let h be 1/((-3)/(-6)*-2). Let b(d) = -18*d. Let x be b(-8). What is the common denominator of -13/9 and h - (3 + x/(-22))?
99
Let a(s) = s**2 + 7*s. Calculate the lowest common multiple of a(-8) and 20.
40
Let o = -3/2162 + 15685/7567. Let h = -57/7 + 923/140. Calculate the common denominator of o and h.
140
Let b = 237097 + -40069241/169. Let v = 224988760/11 + -380231227469/18590. Let z = b + v. Calculate the common denominator of -33/4 and z.
20
Let d = -15 + 27. Let s(r) = r**3 - 6*r**2 + 3*r + 2. What is the least common multiple of d and s(6)?
60
Suppose -2*i = 1 + 5. Let p be (24/28)/((-10)/(-35)). Calculate the least common multiple of i*(-3)/p + 7 and 4.
20
Let r = 25783/1038 + -1/173. Let y = 400 + -3301/8. Calculate the common denominator of y and r.
24
Let l = 3 + 3. Calculate the least common multiple of l and 22.
66
Let n(v) = v**2 - 6*v + 1. Calculate the smallest common multiple of 4 and n(7).
8
Let z = -2220673382 - -5911432634719/2662. Let y = z + 2/1331. What is the common denominator of 71/2 and y?
2
Let f(x) = x - 29. Let m be f(0). Find the common denominator of (m - -1)/(4 + 1) and -15/11.
55
Let x be -2 + ((-2)/2)/(-1). What is the common denominator of (6/66)/((-4)/(-60)) and 0 + x - 46/12?
66
Let t = 5 + -7. What is the lowest common multiple of t + 1 + 13 + 2 and 16?
112
Suppose 135 = -3*b + 741. What is the common denominator of (-921)/(-198) + (-2)/6 and b/(-24) - (1 - 1)?
132
Let o = -5 - -3. Let h(z) = -3*z**3 - 3*z**2 - 2*z + 2. Suppose 0 = -2*r + 55 - 15. What is the lowest common multiple of h(o) and r?
180
Let n = 7 - 6. Calculate the least common multiple of 1 and n.
1
Let w(v) = 6*v**2 + v - 2. Let t = 10 - 8. Suppose 0 = -z - t*z + 42. Calculate the smallest common multiple of z and w(-2).
140
Suppose -5*c = -3*c + 45520. Let i = 409825/18 + c. Calculate the common denominator of ((-3)/(-6))/((-12)/(-21)) and i.
72
Suppose 0 = -3*c - k + 10, -4*k = -5*c + 3*c - 12. Find the common denominator of c/(-2) + 101/22 and -11/12.
132
Let i = 19351/10 + -1928. Find the common denominator of i and 27/22.
110
Suppose 0 = -3*a + 2 + 7. Let q = -18 - -29. Calculate the lowest common multiple of q and a.
33
Suppose 0*f = f - 1. Calculate the least common multiple of f and 6.
6
What is the common denominator of 59/4 and 2 - 4 - (-5)/((-45)/2)?
36
Let t = 47657/6 - 7919. What is the common denominator of t and -31/12?
12
Let p = 60 + -40. Suppose -r - 4*c = 2*r - p, -2*c = -4*r + 12. Suppose -5*w + r = -3*w. What is the lowest common multiple of 14 and w?
14
Suppose 4*i + 8 = -2*t, t = -5*i - 17 + 1. Suppose d - t*d - 4*s - 24 = 0, -22 = 4*d + 2*s. What is the smallest common multiple of 6 and (d - -3) + 10 + 1?
30
Let n(s) = -19*s**3 - s**2 - s - 1. Calculate the lowest common multiple of 16 and n(-1).
144
Let y = -217/2 - -71. What is the common denominator of -22/3 and y?
6
Let y = -6 + 14. Calculate the least common multiple of 12 and y.
24
Suppose -5*i - 11 + 111 = 0. What is the common denominator of -1 + 0 - 118/i and 2/(-7) - (-3076)/280?
10
Let g(o) = -125*o**2 - 2*o + 2. Let j be g(1). What is the common denominator of -121/10 and (j/(-1))/(-15 + -3)?
90
Let t be 1/(-3)*-9 + -25. Calculate the common denominator of 83/10 and (-4)/t + 1051/88.
40
Let t be 2/4*(9 + -3). Suppose p - 8 = t. What is the lowest common multiple of 10 and p?
110
What is the common denominator of 59/15 and 0/(-10) + 22/(-8)?
60
Let m = 2409 - 339. Let x = -12329/6 + m. Let j = 1980 - 9851/5. Calculate the common denominator of x and j.
30
Let z be (-80354)/(-48) - (-3)/9. Let b = -1685 + z. Find the common denominator of b and -49/10.
40
Let h(y) be the first derivative of 5*y**3/3 + y**2/2 + 1. Let s = 12 - 2. What is the lowest common multiple of h(1) and s?
30
Let x(j) = j**2 - 6*j + 2. Let p be x(6). Suppose -2*s - 6 = 4*t, p*t - 4 = 5*s - 37. Let d = -4 + 6. What is the lowest common multiple of s and d?
10
Suppose -m = -3*m - 6. Let b = m - -13. What is the lowest common multiple of b and 4/(-14) - (-9)/7?
10
Let v = 142 + -64. Suppose 4*u = v - 2. Let m = -8 + u. What is the lowest common multiple of m and 5?
55
Let w(d) = d**3 + 5*d**2 - 4*d - 4. What is the smallest common multiple of -7*(4 + 128/(-28)) and w(-5)?
16
Let m(r) be the first derivative of -r**4/4 - 4*r**3/3 + r**2 - 7*r - 1. Suppose -1 = 4*w - 5. What