
Let f = -921/14 - -137/2. Suppose -5 = -i - 2, -3*u + 39 = 5*i. What is the common denominator of f and ((-6)/15)/(u/730)?
14
Let w = -6417 - -115369/18. What is the common denominator of w and -65/18?
18
Suppose 10*x - 14*x + 8 = 0. What is the smallest common multiple of x and 8?
8
What is the common denominator of -4 + (2 - (-37)/20) and 71/2?
20
Let t = -6 + -2. Let v = 2 + t. Let o(x) = x**2 + 6*x + 8. Calculate the least common multiple of o(v) and 10.
40
Suppose 4*d = 2*d - 24. What is the common denominator of 1*((-819)/d)/(-3) and -103/18?
36
Let o = -5 - -8. Suppose o*s = 2*s + 10. Calculate the smallest common multiple of 18 and s.
90
Let q = 12 + -2. What is the smallest common multiple of q and 6?
30
Let n = -3755/66 + 360/11. Let y(d) = d**3 - d**2 + 4. Find the common denominator of n and y(3).
6
Suppose -i + 15 = -v - 5, -2*v + 92 = 4*i. Suppose 2*p + 52 + 28 = 0. What is the smallest common multiple of ((-4)/10)/(2/p) and i?
88
Let z = -47 + 275/6. Let h be 1*((-3)/(-3) + 8). What is the common denominator of (348/198)/(4/h) and z?
66
Calculate the common denominator of -79/6 and (366/(-8))/(-1) + 3/(-4).
6
Let y(o) = -o**2 - 2*o + 4. Suppose 0 = -3*h + 5*h - 10. Suppose 5*b = -5*g - h, -5*g + b = 4*b - 3. Calculate the smallest common multiple of y(-3) and g.
3
Suppose -2*j + 8 = -0. Let m be 15/6*(0 + 2). Calculate the least common multiple of j and 5/(-2)*(-6)/m.
12
Suppose -2*r + 0*r - b + 13 = 0, -4*r - 3*b + 27 = 0. What is the lowest common multiple of 20 and r?
60
Let s = -12 + 48. Let b = -24 + s. What is the lowest common multiple of 12 and b?
12
Let q = -2 + 12. Let m be 4903/(-205)*q/28. Let h = m + 72/41. What is the common denominator of h and 115/18?
126
Let r(c) = c**2 - 8*c - 10. Let u be r(9). Calculate the least common multiple of 0 + (u - -1) + 5 and (20/3)/(16/24).
10
Let z = 17342/7 + -2482. Let n(b) = -b - 1. Let w be n(-4). Calculate the common denominator of (-1 - w/(-9))*5 and z.
21
Let u be (-4)/20 + (-12)/15. Calculate the least common multiple of 39/52*(u - -25) and 8.
72
Suppose -q + 25 = 2*i + 3*i, 0 = 3*q + 4*i - 31. Calculate the smallest common multiple of 3 and q.
15
Let b be 6/(-14) + (-180)/21. Let m(u) = u**3 + 8*u**2 - 10*u + 7. Calculate the least common multiple of m(b) and 22.
176
Let x be 2563116986/503136270 - (-2)/(-7). Let b = x - 8/430031. Let c = b + -132/65. Find the common denominator of -7/9 and c.
9
Let l = -221121/65870 - 1/4705. Let r be (-51)/(-4 + 67/17). Calculate the common denominator of (-6)/48 - r/(-72) and l.
84
Let p = 14113 + -310537/22. Suppose 3*y - 3*k + 663 = 0, 3*k = -5*y + 5*k - 1102. Calculate the common denominator of 2 + 0 + 810/y and p.
22
Let q = -13 - -5. Calculate the common denominator of 147/q*(-12)/(-18) and 76/9.
36
What is the common denominator of 36 and 1/(-2) - 318/(-132)?
11
Suppose -176 = 3*w + 286. Let l = -530 - w. What is the lowest common multiple of 11 and l/(-56) - 4/(-14)?
77
Let p = -189169/42 - -59660/7. Let c = p - 4032. Let g = c + -106/3. Calculate the common denominator of g and -47/20.
20
Suppose 0 = -r - 2*r + 2664. What is the common denominator of r/(-4)*(-2)/56 and (14/(-12))/((-5)/27)?
70
Let h = 447 + 17. Let l = h - 6485/14. Calculate the common denominator of -97/2 and l.
14
Let l be 3 - (15 + -4 + 3). Let v = l - -13. Let h(c) = -2*c + 2. Calculate the lowest common multiple of v and h(-2).
6
Let v(k) = -7*k + 3. Let r be v(-5). Let w = -24 + r. Let p(q) = -q**3 + q**2 + q + 2. Calculate the lowest common multiple of p(0) and w.
14
Let y = -11 + 13. Suppose -2*f - 7 = -x + 11, -3*f = 4*x - 28. Calculate the lowest common multiple of y and x.
10
Let n be -1 + (-3 - (-6 + -2)). Calculate the least common multiple of n/(11/9 + -1) and 22.
198
Let o be 4*(17/4 - 2). Suppose -2*z + 6 = 2*h, 0 = 2*h + h + o. Suppose 2*c + 3*l = 2*l + 29, 0 = -c - l + 15. What is the least common multiple of z and c?
42
Let v = 43 - 37. Calculate the least common multiple of 30 and v.
30
Let v = 2933/4 + -102007/140. Let r = v + -145/28. Find the common denominator of r and 125/6.
60
Let q = 4 - 2. What is the lowest common multiple of (-60)/2*4/(-10) and q?
12
Let q be -1 + 12 - 18/6. What is the common denominator of 166/24 - (7 - q) and 71/18?
36
Suppose -4*u + 2*o = 4*o - 494, 4*o = -3*u + 378. Calculate the least common multiple of 6 and u.
366
Let k(z) = -z**2 - 2*z - 3. Let d be k(-6). Let n = 45 + d. What is the least common multiple of n and 10?
90
Let h = 493/3 + -923/6. Calculate the common denominator of -35/3 and h.
6
Let x be (0/(-1))/((-2)/1). Suppose -5*w + 44 + 6 = x. What is the least common multiple of 20 and w?
20
Suppose -4*n - 3*o = -33, 0 = 4*o - 6*o - 10. Calculate the lowest common multiple of n and 27.
108
Suppose c - 4*b + 8 = 0, 7*b = 3*c + 3*b + 8. Let m = c + 6. Suppose 3*a + 3*q = 69, 29 + 77 = 5*a + 2*q. Calculate the smallest common multiple of m and a.
60
Let f(g) = 56*g**2 + g + 3. Let u be f(-3). What is the common denominator of 59/8 and 1580/u - (-2)/9?
56
Let i(r) = -r**3 - 10*r**2. Let g be i(-10). Suppose g = 2*h - 6*h + 8. What is the common denominator of ((-142)/8)/((-1)/h) and 5/16?
16
Suppose -2*b = -b - 49. Find the common denominator of 2/4 + 535/60 and ((-1)/(6/b))/(-1).
12
Let m = 1426/9 - 159. Suppose 4*n - 22 = -3*i, 2*i + 3*n - 9 = i. Find the common denominator of m and (1/6)/((-3)/i).
9
Suppose 0 = -5*f - 2*t + 80, -f + 3*t = -t + 6. Calculate the least common multiple of f and 22.
154
Let j = -5643 - -45067/8. Let o(z) = -z**3 + 5*z**2 + 3*z - 6. Calculate the common denominator of o(4) and j.
8
Let p(d) = d**3 + 5*d**2 - 7*d + 2. Let i be p(-6). Suppose 0 = -4*k + 3*k + i. Calculate the smallest common multiple of 8 and k.
8
Suppose -5*i = 2*p, 2*p + 4 = i - 4*i. Suppose 0 = -3*x + 4*u + 42, 4*x = i*x - 5*u + 51. What is the least common multiple of 14 and x?
126
Let b = -14/529 - -32437/6348. Let d = -6/923 + 76657/7384. Find the common denominator of b and d.
24
Calculate the common denominator of (0 - 1) + 0 - 3577/(-3212) and 65/76.
836
Let t be 30/4*(-570)/(-25). Find the common denominator of 107/14 and -1 + 4 + t/(-6).
14
Let j be (-1*59)/((-27)/(-96)). Let b = 3133058 - 112782665/36. Let n = b + j. Calculate the common denominator of n and 43/2.
12
Suppose 0 = l + 4 - 8, 0 = -4*a + 2*l + 80. Find the common denominator of -83/34 and 4/a - 3/(-2).
374
Let q(x) = x**3 + 6*x**2 + 6*x + 5. Let l be q(-5). Let r(j) = -7*j**2 - 5 + 7*j + 4*j**3 + l*j**3 - 3*j**3. Calculate the least common multiple of r(6) and 7.
7
Let g = -14 - -19. Suppose 0 = -g*r, -5*a + 5*r - 2*r + 35 = 0. What is the least common multiple of a and 5?
35
Calculate the common denominator of 237*1/(-88) + 8/(-44) and (2 - 1) + 78/(-4).
8
Let g = 9136/5 - 1820. Find the common denominator of g and 4/(-5)*(-85)/153.
45
Let v = -5 - -9. Calculate the common denominator of (-59)/2*v/14 and (-241)/42 + 87/(-203).
42
Let v = -39 - -49. Calculate the smallest common multiple of v and 76.
380
Let x = 13968/331 + -211/5. Let q = x - -67863/13240. Find the common denominator of 83/12 and q.
24
Let w = 8 + -4. Let h be (4/(-2) + -34)*-1. Suppose 18 = 2*a - 4*s - 10, 4*a + 2*s = h. What is the lowest common multiple of w and a?
20
Let z = -1 + 7. Suppose -3*f + l + 34 = -f, 5*f - 96 = -3*l. Calculate the least common multiple of f and z.
18
Let l = 23899/20 + -1197. Calculate the common denominator of -117/20 and l.
20
Suppose -392 = 3*v + 5*p + 202, 3*v + 3*p = -594. Calculate the common denominator of 61/6 and 4/((-16)/v) - 2.
6
Let c(d) = -d**3 + 2*d**2 - d - 1. Let i be c(2). Calculate the common denominator of ((-1)/i)/((-2)/(-74)) and (-4)/16 + (-185)/44.
33
Suppose 4*z + 3*d - 16 = 0, 2*z - 8 = -7*d + 3*d. Suppose 0*s - z*s = -72. What is the lowest common multiple of 14 and s?
126
Let i = -17755/357 + 348/7. Let h be 3455/(-204) - 5/(-20). Let l = i - h. Calculate the common denominator of -2/7 and l.
21
Find the common denominator of -125/12 and (-2)/(-40) - (-58)/(-145).
60
Calculate the least common multiple of 2 and (-10 - -9)*(-7 + -1).
8
Suppose -4*m = -46 - 2. Let a = m - 8. Calculate the least common multiple of a and 18.
36
Suppose 3*n + 40 = -2*n. What is the common denominator of ((-2)/7)/(5/(-110)) an