
240
Find the common denominator of (57/(-4))/(10/8) and 213/(-12) + (-2 - 0).
20
Let s = 7310 - 175403/24. Let g = s - -67/12. Calculate the common denominator of (14/10)/(20/350) and g.
8
Let n(b) = -b**2 - 8*b - 6. What is the least common multiple of n(-6) and 33?
66
Let y = 49961/20 - 5005/2. Find the common denominator of y and -52/3.
60
Let u(o) = -o - 3783. Let g be u(0). Let m = -26535/7 - g. Calculate the common denominator of (0 - 1)*(-106)/(-10) and m.
35
Let k(x) = x**2 + 3*x - 6. Let i be k(-5). What is the common denominator of (-159)/(-24) + 1/2 and (-180)/(-55)*2/i?
88
Let z be (-10605)/(-40) + (-1)/(-2). Let n be 1/1 - 268 - -2. Let r = n + z. What is the common denominator of -83/4 and r?
8
Suppose -2*p + 4*q + 16 = -0*p, -2*q = -2*p + 8. Suppose 21 = 3*a - p*a. Calculate the smallest common multiple of a and 3.
21
Suppose -o = -5*i - 1 - 2, 2*o - 2*i - 14 = 0. Calculate the smallest common multiple of 135/6 - 5/10 and o.
88
Let t(y) = -y**2 + y + 6. Let o(z) = z**2 + 3*z. Let n be o(-3). What is the least common multiple of 9 and t(n)?
18
Let k be (88 - (2 - 0)) + -2. Suppose -4*g + 172 = -k. Suppose 5*d + 3*a - 77 = 0, 5*d - g = 3*a + 19. What is the lowest common multiple of d and 22?
176
Calculate the lowest common multiple of (-1 - 0) + 2 + (-221)/(-13) and 24.
72
Calculate the common denominator of -7/8 and ((-1)/1)/((-230)/391).
40
Suppose -7 - 11 = -2*g. Suppose 4*h - w = 43, 32 = 2*h - w - 3*w. Calculate the least common multiple of h and g.
90
Suppose -149 = -4*l - v, 3*l = -2*l - 2*v + 187. Suppose 59 + l = 3*o. Suppose -o = -4*k - 0*k. Calculate the least common multiple of 10 and k.
40
Let n be ((-288)/2)/((-10956)/(-30)). Let a = 5/83 - n. Find the common denominator of 14/11 and a.
11
What is the common denominator of -31/12 and -2 + (-186)/(-28) + 3?
84
Suppose -2*k + 11 = 1. Let h(g) = -3*g - 7. Let j be h(-4). Suppose 35 = j*x - 8*l + 3*l, k*x + 3*l - 11 = 0. What is the smallest common multiple of x and 1?
4
Suppose 0*y + 11 = 3*c + 5*y, 4*y = c + 19. Calculate the common denominator of 17/5 and -7*(-22)/16 - c.
40
Find the common denominator of ((-3666)/(-1188) - 7) + (-2)/9 and 89/4.
44
Let t(j) = j**2 - j - 4. Let v be t(3). Suppose v*c = 3*c + 2. Calculate the least common multiple of (0 + 0)/(-3) - c and 8.
8
Let s = 967 - 7813/8. Find the common denominator of 57/194 and s.
776
Let w be -2 - (0 - 2) - -2. Let f be 16/5*(-5)/(-2). Let b = f + w. Calculate the least common multiple of 18 and b.
90
Suppose 0 = -40*t + 39*t - 4. Let f(i) = -i**3 - i + 3. Let x be f(0). Calculate the common denominator of 7/t - (-4 + x) and 87/14.
28
Let g = -216 + 668/3. Let y = 1244/11 - 113. Find the common denominator of g and y.
33
Let h(t) = 2*t - 2. Let z be h(2). Suppose -2*x = 3*l - 217, z*x - 4*x + 4 = 0. Let s = l - 49. What is the smallest common multiple of s and 16?
176
Let m be 5/10 - 1746/4. Let y be m/(-18) - (-12)/(-54). What is the common denominator of (1/y)/(1/(-218)) and -53/20?
60
What is the common denominator of (-3)/48 - (3 - 2) and ((-1)/(-6))/((-4)/74)?
48
Suppose 6*f = f + 90. Let g = 34 - f. Suppose -5*v = -2*q - 3*q + 90, 2*q + 5*v - 8 = 0. What is the lowest common multiple of q and g?
112
Suppose 0 = -7*m + 13 + 50. What is the smallest common multiple of m and 3?
9
Let z = 6 + -18. Let k = 10/831 + -57379/3324. Find the common denominator of k and (-161)/z + (-3)/12.
12
Let s = 168859/22 - 7674. Find the common denominator of -5/28 and s.
308
Suppose 0 = 6*j - 31 + 25. What is the least common multiple of j and 15?
15
Let h = -1 - -6. Let u(f) = 2*f - 4. Let n be u(3). Suppose -h*c = n*p - 20, -2*c + 23 = c - p. What is the least common multiple of 26 and c?
78
Suppose -52 = -3*j + w + w, -2*j + 38 = 2*w. What is the smallest common multiple of 6 and j?
18
Let k(m) = -34*m - 1. Let z be (-2)/(-5) - (-17)/(-5). Let j = z - -4. Find the common denominator of -53/2 and k(j).
2
Let w = 2/5825 - 75749/69900. What is the common denominator of -95/6 and w?
12
Let q(b) = b**2 - 2*b + 2. Let c be q(4). Let d = c - -1. Let v = d + 5. Calculate the lowest common multiple of 8 and v.
16
Let w = 13 + -9. Let j = 18 - -4. Calculate the least common multiple of j and w.
44
Let g be ((-5069)/(-831))/(28/63). Let t be (4/554)/((-2)/7). Let n = t - g. What is the common denominator of n and 19/14?
28
Let m = -211 + 355/2. Let l = 13 + -15. What is the common denominator of l/(-8) - 579/36 and m?
6
Let d = -64 + 84. Calculate the lowest common multiple of 46 and d.
460
Let y be (0 + 3)/((-3)/1257). Let r = -27595/22 - y. Calculate the common denominator of -59/16 and r.
176
Calculate the common denominator of (15/200)/(6/415) and -7/16.
16
Let o = -16 + 34. Let q = -12 + o. What is the lowest common multiple of q and 6?
6
Let w = 12 + -54. What is the smallest common multiple of 14 and (-1)/(3/w*1)?
14
Let b(f) = -6*f - 12. Let a(c) = 11*c + 23. Let u(q) = -3*a(q) - 5*b(q). Calculate the smallest common multiple of u(-9) and 14.
126
Suppose 0 = -j + 3*t + 11, 3*t - 3 = -3*j + 18. Suppose -2 = 3*p - j. What is the lowest common multiple of p and 16?
16
Let p be 1*-4*3/(-12). Find the common denominator of (-2 + p)/((-36)/(-256)) and -99/8.
72
Calculate the lowest common multiple of 84/(-56)*44/(-6) and 7.
77
Let h = -18935/642 - 2/321. Let p = -16/181 + 6330/1991. What is the common denominator of h and p?
22
Suppose -20 = 5*k - 5*q, q = 5*k + 6*q - 10. Find the common denominator of -111/10 and -34*(-3)/(-27) + k.
90
Let g(m) = -2*m**2 - 21*m - 18. What is the smallest common multiple of 3 and g(-9)?
9
Let j = 8926/512679 - -2/2341. Let t be ((-21276)/146 - -2)/15. Let z = j - t. Calculate the common denominator of -19/6 and z.
30
Let i(f) = -2*f - 2. Let a be i(-2). What is the common denominator of -91/16 and a - 1 - (-43)/22?
176
Suppose -3*h + 155 = 2*h. Let s = -155/3 + h. Calculate the common denominator of s and -109/10.
30
Let j = -171829/28116 - -1/3124. Let r(p) = -11*p. Calculate the common denominator of r(3) and j.
9
Let g = 9 - 5. Suppose -2*a + 32 = -2*l, a = -0*a + g*l + 31. Let y = 345 - 334. Calculate the smallest common multiple of y and a.
11
Let v(f) = -1 - 3 - 5*f + 3*f. What is the least common multiple of 13 - 4*(-2)/(-4) and v(-5)?
66
Suppose 6*c + 5*m = 3*c + 35, -4*c + 2*m + 38 = 0. Let n = c + 4. What is the lowest common multiple of 18/(-8)*-8*1 and n?
126
Let j(b) = -b**3 + 24*b**2 + 27*b - 28. What is the least common multiple of j(25) and 32?
352
Suppose 0*m - 2*m + 28 = -n, 4*n = -2*m + 48. Let w be 0 - -1 - (-8)/8. What is the lowest common multiple of m and 28/6 - w/3?
16
Suppose 0 = 3*n - 0*n - 5*z + 5, 23 = 3*n + 2*z. Suppose n*k - k = -16. Calculate the common denominator of 6/k + (-14)/(-9) and -57/10.
90
Let c be ((-324)/1825)/(10/(-150)). Let o = 10/73 + c. Find the common denominator of 61/12 and o.
60
Let v = 32 + -22. Suppose 2*p = 6*p - 20. What is the lowest common multiple of v and p?
10
Let d be ((-1)/(-2))/(2/(-4)). Suppose -2*u + 6*u - 5*z = -73, u - 5*z + 37 = 0. Calculate the lowest common multiple of (d + 1/3)*u and 18.
72
Suppose 9*x = 14*x - 10. What is the smallest common multiple of x and 1/3 + (-5)/(-3)?
2
Let k be (2 - 2/1)/(-2). Suppose b - 4 = k, -5*n + 44 = 5*b - 16. What is the least common multiple of n and 8?
8
Let f be (-3)/(-1751)*(-1 + -1). Let o = -879343563054267/28016 + 31387191709. Let q = o - f. What is the common denominator of 101/20 and q?
80
Let q = 60/613 - -35327/8582. What is the common denominator of 73/6 and q?
42
Let a = 101096/37349 - 2/2197. Find the common denominator of -70/9 and a.
153
What is the least common multiple of 74/7 - 18/(-42) and 8?
88
Let k(m) = 118*m**3 + 2*m**2 - 3*m + 3. Let y be k(2). Let t = y - 4717/5. Find the common denominator of -131/6 and t.
30
Let g(m) be the first derivative of m**4/4 + 5*m**3/3 + m + 1. Let h be g(-5). Suppose b + h - 6 = 0. Calculate the lowest common multiple of 7 and b.
35
Let a(k) = -k**3 - 2*k**2 + 5*k. Suppose -5*s = -4*n - 4*s - 15, -3*n - 3*s - 15 = 0. Calculate the smallest common multiple of 2 and a(n).
12
Let q(f) = -2*f - 3. Let d = 9 + -11. Calculate the lowest common multiple of 1 + -1 + d - -11 and q(-6).
9
Suppose 16 = 4*a - 2*u, -2*a + 3*u - 4*u + 12 = 0. 