i.
90
Let f be 10 - (0 - (-2 + 1)). Suppose 0 = 2*o - 10, 0*m + m - 2*o = -f. What is the common denominator of 43/10 and m + 1 - 94/(-20)?
10
Let c(n) = -n**3 + n - 2. Let j be c(-2). Suppose j*x + 2 = 6*x. Calculate the smallest common multiple of 3 and x.
3
What is the common denominator of -65/56 and 1 - 365/(-20) - -2?
56
Suppose -2*n + 4*j - 3*j + 68 = 0, 5*n - j - 176 = 0. What is the smallest common multiple of n and 12?
36
Let u = 41/8 - 0. Calculate the common denominator of 0/3 + 86/20 and u.
40
Let j(k) = k**2 - 16*k - 6. What is the least common multiple of j(17) and 16?
176
Let a = -500 + 4963/10. Calculate the common denominator of a and -85/4.
20
Let h(o) = -o**2 - 9*o + 30. Let y = -3 - -5. What is the lowest common multiple of h(-11) and y?
8
Let j(s) = s**3 - 4*s**2 - s - 4. Let i(k) = -3*k. What is the lowest common multiple of j(5) and i(-4)?
48
Let j = -291/4 + 1249/20. What is the common denominator of (-697)/112 - (-18)/63 and j?
80
Suppose p = -1 - 2. Let d be (3/(-2))/(p/20). What is the common denominator of -77/4 and (-509)/(-60) + (-4)/d?
12
Let k(i) = 5*i**2 - i + 1. Calculate the smallest common multiple of 9 and k(-1).
63
Let n = 5 + -5. Find the common denominator of 1 + n + 134/28 and -133/18.
126
Let m(f) = -f + 11. Let v(u) = -u**2 - 7*u - 1. Let r be v(-6). Let h(o) = o + 2. Let a be h(r). Calculate the lowest common multiple of m(a) and 14.
28
Let m = -202 - -5657/28. What is the common denominator of 121/10 and m?
140
Let z = 576/17 + -10959/340. Find the common denominator of 79/12 and z.
60
Let s be (12/(-5))/(3/(-15)). Suppose -2*g - g + s = 0. What is the lowest common multiple of g and 4?
4
Let l be 1 - (-1 - (1 - 8)). Let g = 9 + l. Let t = 8 - 4. Calculate the least common multiple of g and t.
4
Suppose 0 = -j + 2*y + 1 - 6, 5*y - 26 = -2*j. Suppose -4*o + 5*x - j + 7 = 0, 0 = -x + 4. What is the least common multiple of 6 and o?
6
Let p be (-40)/2*1*-1. Let i = 37/2 - p. What is the common denominator of -6/7 and i?
14
Suppose -3*v + 3*z + 534 = -0*v, 5*v - 906 = z. Find the common denominator of v/12 + 21/7 and 12/11.
66
Find the common denominator of 6*(-4)/6*(-51)/(-66) and -14.
11
What is the common denominator of ((-8)/3)/((-13)/((-1053)/150)) and 17/5?
25
Suppose 3 - 47 = -4*q. Suppose q = m - 11. Suppose 0*u + m = 2*u. Calculate the smallest common multiple of 8 and u.
88
Let s(w) = 11*w**3 - w**2 + 2*w + 1. Let v be s(2). Calculate the common denominator of 37/18 and v/(-20) - 4/16.
90
What is the smallest common multiple of -1 + (1 - -8 - 0) and 40?
40
Let s = -96 - -106. What is the lowest common multiple of 10 and s?
10
Suppose 0 = -8*w + 3*w + 40. Suppose 54 + 21 = -5*b. What is the least common multiple of b/(-6) + (-2)/(-4) and w?
24
Let q(p) = p**3 + 3*p**2 - 2*p. Let b be q(-3). Suppose o + 70 = b*o. What is the lowest common multiple of o and (6/(-18))/(1/(-18))?
42
Suppose 0*s + 4*s - 832 = 0. Suppose 52 = -3*g + s. Find the common denominator of -1 + g/(-3) + 2 and -62/9.
9
Let l = 41 - 1. Suppose -2*b + 1 = -5*d + 6, l = 5*d + 5*b. What is the least common multiple of 9 and d?
9
Let t(v) = v**3 + 8*v**2 + 5*v - 6. Let m = 30 - 21. Calculate the smallest common multiple of t(-7) and m.
72
Suppose -11 - 7 = 2*t + 5*k, 0 = -4*t + 4*k + 20. Let o = 5 - t. Let l = -7 + 25. What is the lowest common multiple of o and l?
36
Suppose -5*m = -5 - 5. Let b be 3 + 6 + (-3 - 0). Suppose 3*q - b = m*q. What is the smallest common multiple of 22 and q?
66
Suppose -5*v - 2*x + 60 = 3*x, 40 = 5*v + x. Suppose 3*w = g + 2*w, 0 = -5*g - 2*w + v. Calculate the lowest common multiple of 8 and g.
8
Let y = 241/60 + 71/15. Find the common denominator of -71/30 and y.
60
Find the common denominator of (-1)/(16/244*-4) and 151/24.
48
Suppose j = 5*s - 590 + 3545, -4*j + 11852 = -4*s. Let q = -67058468723/22636812 - -1/2057892. Let r = q + j. Calculate the common denominator of r and -58/7.
77
Let s(x) be the first derivative of -x**4/4 - 7*x**3/3 - x**2 - 10*x + 2. Let o be s(-7). Calculate the common denominator of 119/10 and (192/90)/(o/(-6)).
10
Let w = 4986535/8 - 624449. Let a = w + 1135. Find the common denominator of a and 1208/(-12)*(-2)/(-8).
24
Suppose 24 = -m + 4*m. Suppose 8 = 2*w + 2*w. What is the lowest common multiple of m and w?
8
Let w(i) = 0*i**3 + 3*i**3 + 4*i - 4*i**3 - i**2 - 5*i + 4. Calculate the least common multiple of 1 and w(0).
4
Let t be ((-62)/(-20))/(4/1570). Let g = t - 1232. Find the common denominator of (1 - -88)*(-2)/(-12) and g.
12
Calculate the common denominator of 1/2 - (-957)/(-110) and 109/10.
10
Let o be (-18)/4*12/(-18). Let c(f) = f**3 - 2*f**2 - 2*f + 2. Calculate the lowest common multiple of 1 + -2 + (0 - -10) and c(o).
45
Suppose -2*m - 5*g = -2 - 6, 0 = -3*g. Calculate the lowest common multiple of 2 and m.
4
Let j(n) = -n**3 - 3*n**2 - 2*n - 6. Let d(a) = -a**3 - 2*a**2 - a - 5. Let w(z) = -2*d(z) + 3*j(z). Calculate the lowest common multiple of w(-5) and 20.
60
What is the common denominator of 3 - ((-2)/4 - (-170)/22) and (53/(-3))/((-4)/(-3))?
44
What is the common denominator of 82/21*(-9)/6 and (-53)/10 + (3 - 56/20)?
70
Find the common denominator of 101/10 and 1196/117*2/8.
90
Let m = 915/40877 + 2/997. Let h = m - -3113/123. Calculate the common denominator of h and 33/7.
21
Suppose 5*k - 132 = -k. Calculate the smallest common multiple of k and 12.
132
Let s = -594370 - -6542344/11. Let b = -388 + s. Find the common denominator of -11/4 and b.
44
Let i(a) = 7*a**2 + 7*a + 2. Let n be i(-5). Let o = 71 + n. Find the common denominator of o/(-30)*15/24 and 67/10.
80
Suppose 1237 = 3*a - 3149. Let f = a + -2983/2. Calculate the common denominator of 1 - -9*6/(-32) and f.
16
Let k(j) = -j**2 + 8*j + 12. What is the lowest common multiple of k(6) and 12?
24
Let r = 25 + -13. What is the common denominator of (1 - 2)*(-87)/15 and (-596)/(-30)*15/r?
30
Let s(j) = j**2 + 3*j - 8. What is the least common multiple of 50 and s(4)?
100
Calculate the common denominator of (91/(-504) - -1) + (-2)/(-9) and 31/30.
120
Suppose 3*u - 26 = u. Calculate the least common multiple of -3 + u + -4 - 1 and 10.
10
Let p be (-1 - 1)*(-1)/2. Suppose 3*g + 31 - p = 0. Let v = g + 30. Calculate the least common multiple of v and 18.
180
Let d = 5 + -8. Let p be (-2 - d)/((-2)/(-10)). Find the common denominator of -33/8 and (101/25)/((-2)/p).
40
Let y = 1999/4 - 507. Let l = 1451/255 - 2/85. What is the common denominator of y and l?
12
Suppose -4*p + 5*x + 47 = 0, -2*x = -4*p - 4*x + 26. What is the lowest common multiple of 2 and p?
8
What is the least common multiple of 2/(-3)*(1 - 12/3) and 7?
14
Let s be ((-249)/(-99))/((-11)/3009). Let z = 688 + s. Let u = -2792/1089 - z. Find the common denominator of 17/2 and u.
18
Let j = 1 + 1. Suppose -j*p = -3*h - 6*p + 25, -3*p - 6 = 0. Calculate the smallest common multiple of h and 4.
44
Let g be 255/198 + 2/(-4). Let t = -131/462 - g. Let j = -32331/16 + 2020. What is the common denominator of j and t?
112
Suppose 15158 = -5*l + 98528. Let w = l + -233533/14. Let f = 82727/10 + -8262. What is the common denominator of w and f?
70
Suppose -8*b = -3*b - 80. Calculate the lowest common multiple of b and 4.
16
Suppose 0 = 3*u - 4*r + r - 354, -4*u + r + 478 = 0. Let s = -197/2 - -79. Find the common denominator of 2/7 + u/(-77) and s.
22
Let w(q) = -q**2 + 3*q + 1. What is the lowest common multiple of 4/(8/10) - -3 and w(3)?
8
Let d(j) = -j + 6. What is the lowest common multiple of 10 and d(0)?
30
Suppose 5*l - 50 - 74 = -3*i, 4*l - 114 = 5*i. Suppose 3*h = 7 + l. Let s = 33 + -23. Calculate the smallest common multiple of s and h.
110
Let m(b) = 8*b**2 - b. Let q be m(1). Suppose d - 3 = q. Calculate the smallest common multiple of d and 2.
10
Let x = -4639/1464 + 8/183. Suppose -5*m + 5*l - 40 = 0, -15 + 5 = m - 2*l. What is the common denominator of x and (-5)/(-7) + m/12?
56
Suppose 0 = x - 5*x - 12. Let q = x - -6. Suppose -s + q*s = 14. Calculate the lowest common multiple of s and 10.
70
Let m be (-23223)/(-18) + 1/(-6). Let b be m/10107*(-642)/22. Let o = -3/1123 + b. What is the common denominator of 11/10 and o?
110
Let b(m) = 4*m**2 - 3*m + 2. Suppose 12*x - 20 = 76. What is the lowest common multiple of b(