
88
Suppose 2*a + 48 = -2*m, m + 5*a - 12 = -40. Let x = -13 - m. Calculate the common denominator of ((-4)/x)/(6/(-93)) and 89/6.
30
Suppose r - 4*r = 18. Calculate the smallest common multiple of ((-56)/(-24))/((-2)/r) and 3.
21
Let m = 8470 - 50971/6. Suppose -f = 3*f + 5*o - 2644, 0 = 5*f + 3*o - 3318. Let x = f + -4670/7. Calculate the common denominator of x and m.
42
Let m = -53 + 105. Calculate the lowest common multiple of 10 and m.
260
Let z(q) = -q**3 + 4*q**2 - q + 13. What is the least common multiple of 12 and z(4)?
36
Suppose -39*b + 336 = -33*b. What is the least common multiple of 16 and b?
112
Find the common denominator of -42/11 and (-6 + 15)*(-74)/60.
110
Let k = -137789/10 - -13767. Let l be (-225)/(-996) + 1/(-4). Let q = l + -51/1328. Calculate the common denominator of k and q.
80
Let i = -17/5 - 51/10. Calculate the common denominator of i and 28/3.
6
Let b = 28337/10 - 2830. What is the common denominator of -2 + 2 + 36/(-7) and b?
70
Let p be 8 - (3 - 3)/(-3). Let r = -7 + p. Suppose -5*c + 47 = -4*u, -4*c - 4*u + 13 = u. What is the least common multiple of c and r?
7
Find the common denominator of (1154/80 + -7)/((-3)/(-2)) and 145/12.
60
Suppose -11*c + 26*c - 2310 = 0. Calculate the lowest common multiple of 6 and c.
462
Let d be (0/(-1))/(2*-1). Suppose 2*w + d = -f + 4, 5*f = 2*w + 80. Suppose -2*s - s + 36 = 0. Calculate the least common multiple of f and s.
84
Suppose 8*z - 3*z = 110. What is the smallest common multiple of 22 and z?
22
Find the common denominator of -127/30 and (-14)/(-66)*200/(-70).
330
Let p = 519/512 - 5273573/5203456. Let i = p + 1534601/60978. Find the common denominator of (1 + 1)*(-182)/88 and i.
66
Suppose 0 = 2*k - 3*z - 19, -16 = -2*k + 5*z + 13. Suppose 0 = -3*d - 5*v + 27, -5*v = d + 4*d - 35. What is the least common multiple of d and k?
4
Let o be 1 + (332/(-326) - 0). Let w = 159/141706 + 405813169/92392312. Let r = w + o. What is the common denominator of 73/10 and r?
40
What is the common denominator of 58/145*(1*-1 - 0) and 38/5?
5
Let t = 77033/7284 + 14/1821. Find the common denominator of t and 43/44.
132
Suppose -4*n = -194 - 2. Let l(x) = -x + 5. Let k be l(6). Find the common denominator of n and (k/(-6))/((-2)/(-118)).
6
Let g = 53381601/20 + -2673999. Suppose 8119 = 3*u - 6629. Let q = g + u. What is the common denominator of 1/14 and q?
140
Let g = -136/5 - -23. Find the common denominator of g and -59/3.
15
Let s(n) = -n**2 + 2*n + 1. What is the smallest common multiple of s(0) and 2?
2
What is the common denominator of 4619/(-4340) - 2/7 and -79/8?
40
Suppose o - 4*o = -21. Let n = o + -4. Suppose -21 = -3*b + n. Calculate the smallest common multiple of 4 and b.
8
Let q(c) = c**3 - 11*c**2 - c + 5. Let d be q(5). Find the common denominator of 22/3 and d/(-4)*(-12)/(-80).
24
Suppose -5*j + 55 = -35. Calculate the lowest common multiple of j and 48.
144
Let z(c) = c**3 - 10*c**2 - 11*c - 7. What is the common denominator of 1/21 and z(11)?
21
Let m be 2/(-2) + 2/(-1). Calculate the common denominator of (m + 224/(-18))/(-2) and -83/2.
18
Suppose -2*x + 99 = 5. Calculate the common denominator of 91/4 and -1 - -3 - x/3.
12
Let w = 76951581810458155949/11195829190282380 + 93/285229521815. Let o = w - -2770/3271. Let q = o + -6870. Calculate the common denominator of -59/5 and q.
60
Let v = -82 - -185/2. Find the common denominator of -143/102 and v.
102
What is the least common multiple of -8 + 52*6/12 and -1 - -1 - 1 - -7?
18
Let d = -3 - 2. Let s = d - -6. Suppose 5*t - 2*p - 10 = -0*p, -t - s = -p. Calculate the lowest common multiple of 4 and t.
4
Suppose 0 = -9*i + 4 + 14. Suppose 0 = c + f - 4*f - 5, -5*c + 5 = 5*f. What is the least common multiple of c/3 - 34/(-3) and i?
12
Calculate the smallest common multiple of 2/(-8)*0 - (-20 - 0) and 40.
40
Let p = -25 + 16. Calculate the common denominator of (-2)/p + 244/(-72) and 9/(-40)*(-4)/(-1).
30
What is the lowest common multiple of 42 and 1*(28 + -4 + -6)?
126
Let w = -7 - -10. What is the least common multiple of 10 and (w - (-9)/(-3)) + 22?
110
Let g = 4 + -1. Suppose 27 = g*t - 0*t. What is the common denominator of t and 77/4?
4
Let u be (-7)/((-98)/204)*7. Suppose -2*p + u = 22. Find the common denominator of 35/11 and p.
11
Let z(c) = -c**3 - c**2 - c + 14. What is the least common multiple of 1/(1 - (-30)/(-32)) and z(0)?
112
Let l(s) = -s + 2. What is the lowest common multiple of ((-10)/3)/(3/(-18)) and l(-10)?
60
Calculate the common denominator of (4/(-6))/(2 - 2590/1335) and -87/2.
8
Let t = 112/73 - 56453/36938. Let g = t + -7977/1265. Let k = -119/5 - g. Find the common denominator of k and -85/8.
8
Let q(r) = -r**3 - 9*r**2 - 9*r + 10. What is the smallest common multiple of q(-8) and 4?
36
Suppose 5*l = -3*y, 3*l + y + 34 = 6*y. Calculate the common denominator of 113/12 and l - (-2 - (-225)/(-6)).
12
Suppose 0*i + 3*l = -2*i + 8, -3*i + 3*l + 12 = 0. Suppose -4*n - i*u = -44, -u = 2*n + 3*u - 24. Calculate the smallest common multiple of n and 12.
60
What is the least common multiple of 29/9 - 3 - (-79)/9 and 6?
18
Let a(i) = 3*i**2 - 2*i - 1. Let u be a(3). Suppose 6*k - u = k. Suppose k = 5*m - 6. What is the least common multiple of 18 and m?
18
Calculate the common denominator of 21 and 6/36 + (-13)/(-12).
4
Find the common denominator of (-31)/((1 - 0) + -9) and -67/64.
64
Let h(w) = 13*w**2 - 1. Let b be h(-1). Let p be (5/37701)/(b/(-1048077)). Let z = -1/8378 + p. What is the common denominator of z and 59/12?
12
Let w = -3225/56 + 633/14. Find the common denominator of -57/4 and w.
8
Let w(p) = -p**3 - 7*p**2 - 8*p - 6. What is the least common multiple of w(-6) and 6?
6
Let d = -3 - -7. Suppose 5*b = -6*p + 3*p - 10, p + 4 = -2*b. Let w = b + d. What is the lowest common multiple of w and 8?
8
What is the least common multiple of 6 and 1 + -1 - -241 - (1 - -2)?
714
Let v be (-3 + 60/9)*3. Let t = 3 + v. What is the lowest common multiple of 6 and t?
42
Let l(x) = x**3 - 6*x**2 + x - 5. Let a be l(6). Calculate the smallest common multiple of a - -1*57/3 and 6.
60
Suppose 5*j = 3*j + 32. Calculate the least common multiple of 18 and j.
144
What is the common denominator of 95/16 and ((-138)/(-20) - -4) + -5?
80
Let q = 1 + 1. Suppose -j - j - q*c = -32, -5*j - 2*c = -86. What is the least common multiple of j and 10?
90
Let v = -2151/4 - -534. Find the common denominator of 12 + (-1 - (-1)/2) and v.
4
Let o(s) = 20*s**3 - 9*s + 7. Let x be o(-7). What is the common denominator of 8/(-14) - x/1764 and -31/14?
126
Let k = 12 - 2. Suppose 3*f = 5*q - 45, 5*f = -32 + 7. Let n = q - 4. What is the lowest common multiple of k and n?
10
What is the common denominator of -17/22 and 12/16*(-22)/6?
44
Find the common denominator of 13/9 and ((-9)/(-6) + -1)/((-110)/(-980)).
99
Find the common denominator of (4/(-33))/(2/(-15)) and 43/6.
66
Suppose -5*f - 5*u + 20 = -10, 0 = -3*f + 2*u + 8. What is the lowest common multiple of 14 and f?
28
Find the common denominator of 164/12*(-6)/4 and -17/14.
14
Let c(g) = -g**3 + 4*g - 3. Let h be c(2). What is the least common multiple of ((-5)/10)/(h/12) and 1?
2
Let h = 18 + -27. What is the least common multiple of (-6)/(-1 - 3/(-6)) and 60/h*6/(-2)?
60
Calculate the common denominator of -97/12 and (258/12)/(5/(-2)).
60
Let d(w) = -w**2 + 18*w - 54. Calculate the lowest common multiple of d(12) and 7.
126
Suppose -44 = -7*m + 82. What is the lowest common multiple of 30 and m?
90
Suppose 14*x - 11*x - 6 = 0. Let i = -8 + 14. Let v(g) = -g**2 + 10*g - 6. Calculate the lowest common multiple of x and v(i).
18
Let w = 12792207148850/789 - 16213192654. Let y = w - -160/263. Let o = y - -2330. What is the common denominator of o and -44/7?
21
Let x = -1781 - -10619/6. Find the common denominator of 12 and x.
6
What is the common denominator of 113/18 and -1 + -1 - (-292)/84?
126
Suppose 7 + 48 = 5*r + 5*z, -4*r - 5*z = -45. Let a = 10 - r. Let j = 7 + a. Calculate the smallest common multiple of 2 and j.
14
Let y be -1 - 1/(2/(-6)). Suppose y*v - 10 = -0*v. Suppose 2*a - 6*u + 4*u + 4 = 0, -v*a - 4*u = -26. What is the smallest common multiple of a and 10?
10
Let o = -83 + 119. Calculate the common denominator of (-2)/(-9) + (-413)/o and -1*2*178/8