7 - 25. Let c = 14 - 6. What is the least common multiple of s and c?
88
Let k = -31 - -38. Calculate the lowest common multiple of 3 and k.
21
Suppose 40 = 3*m - m. Suppose -o - 2*o = 3*l - 21, -4*l = 4. What is the least common multiple of m and o?
40
Suppose -b - u = -10, 4*b + 44 = 8*b + 3*u. Calculate the common denominator of -7/11 and b*4/(-6) - 2.
33
Let n = -113/26 + 492/13. Calculate the common denominator of n and 154/(-24) + -3 - -2.
12
Suppose t = -2*a - 2*a + 43, -a + 37 = -5*t. Suppose 4*s - 20 = a. Suppose 0 = 4*q + 1 - 9. What is the least common multiple of q and s?
8
Let h = -8088 - -145667/18. Let m = 6 - 18. What is the common denominator of ((-3)/m)/((-9)/822) and h?
18
Let z(t) = -t**3 + t + 1. Let x be z(-1). Let o(h) = -h**3 - 8*h**2 - 8*h - 3. Let f be o(-7). What is the common denominator of 31 and (-138)/f*(0 + x)?
2
Calculate the common denominator of -97/12 and (-17)/5*11/(44/8).
60
Calculate the lowest common multiple of (-8 - (-8 + 5)) + 6 and 8.
8
Suppose 2*v = -0*s - 2*s + 4, v = -5*s + 10. Suppose 0*t = 3*t + r - 17, v = -4*t - 2*r + 26. Calculate the lowest common multiple of t and 7.
28
Let m = 3 + 2. Calculate the smallest common multiple of m and 26.
130
Let f(n) = -4 + 6*n**2 - 7*n + 0*n + n**3 - 2*n + 12. Suppose -36 = -6*i - 0. What is the lowest common multiple of i and f(-7)?
66
What is the common denominator of -20/7 and 67/(-9) - (-5)/(-15)?
63
Let p = -86/13 - -1607/182. What is the common denominator of (115/16 - 5) + 3 and p?
112
Let a be 5/10 + 11/(-2). Let m(v) = -v**2 - 10*v - 5. Calculate the smallest common multiple of (0 - 0) + 2/1 and m(a).
20
Let w(s) = s + 1. Calculate the smallest common multiple of w(3) and 92.
92
Let c = -10 - -7. Calculate the common denominator of -25/12 and 59*c/(-6) + -1.
12
Suppose 1172 = -4*l - 2*i - 0*i, 3*i - 1443 = 5*l. Calculate the common denominator of (2/(-12))/(6/l) and ((-4)/(-10))/((-32)/490).
24
Suppose 0 = -2*c + 6 - 0. What is the lowest common multiple of 3 and c?
3
Let f(s) = s**2 + 5*s - 3. Let v = -15 - -9. Calculate the smallest common multiple of 4 and f(v).
12
Let i be (-2)/5 - (-1355)/225. Let g = i + -2/5. Let t = -4/7 - -31/42. What is the common denominator of g and t?
18
Let g be 47/(-5) - 12/20. Let k = -4 - g. Calculate the lowest common multiple of k and 4.
12
Let f(u) = -u**2 - 3*u + 3. Let b be f(-4). Calculate the common denominator of -79/12 and (-546)/72 - (0 - b).
12
Let k be 56/6 - (-6)/9. Let f(m) = m**3 - 9*m**2 - 10*m + 4. Calculate the lowest common multiple of f(k) and 6.
12
Let p(y) = y**2 - 2*y + 7. What is the least common multiple of p(5) and 4?
44
Let n(t) = -t**2 - 2*t. Let l be n(3). Let j = -9 - l. What is the smallest common multiple of 16 and j?
48
Let r = 1437/104 - 152/13. What is the common denominator of -35/2 and r?
8
Calculate the least common multiple of (-1)/3 + (-31)/(-3) and 16.
80
Let m be -2 + 6/(-2) + 6. Calculate the least common multiple of (2 + m)*40/12 and 1.
10
Let p = 14 + -9. What is the smallest common multiple of 5 and p?
5
Suppose a + 1 - 5 = 0, 5*r = -2*a + 83. What is the lowest common multiple of r and 40?
120
Suppose -7*b = -3*b - 16. Suppose 3*s - 13 = p, -2*p + s - 7 = -3*p. What is the least common multiple of b and p?
4
Let q be (4 + -1)*6/9. Suppose 4*v - v = 75. Suppose -g - 18 = -l, -q*g - v = -4*l + 51. Calculate the lowest common multiple of 22 and l.
220
Calculate the smallest common multiple of (-2)/5 + (-352)/(-55) and 3.
6
Let z be 0 - -1388*(-1)/22. Let x = 2896/33 + z. What is the common denominator of 50/7 and x?
21
Let a = -21666/5 - -692847/160. Find the common denominator of a and 5/56.
224
Suppose -4*c + 3*s + 43 = 0, -4*c + 3*s - 17 = -6*c. Calculate the smallest common multiple of c and 9.
90
Let q(p) = -35*p. Let y(t) = 12*t. Let a(g) = -5*q(g) - 14*y(g). Let s be a(-1). What is the common denominator of -17/11 and 0 - ((-8)/s)/(-1)?
77
Let p = -15 - -29. What is the smallest common multiple of 22 and p?
154
Suppose 3*j - 32 = 2*q, 8 = 3*j - q + 5*q. Let r = 2 + -4. Calculate the least common multiple of j and r + 1 + 8*1.
56
Let s = 42 + -21. Calculate the least common multiple of s and 12.
84
Let i be -2 + (-6927)/4 + -1. Let v = 1726 + i. Find the common denominator of v and 39/2.
4
Let r(j) = 16*j + 9. Let t be r(-6). Let n be (-9)/2*t/(-12). Let a = -2795/88 - n. What is the common denominator of a and -77/8?
88
Let m = 17311/2682 + -3/298. What is the common denominator of 77/2 and m?
18
Suppose k - y = 3*y - 4281, 0 = -2*k - 5*y - 8562. Let f be (2/(-18))/((-1)/38585). Let c = k + f. What is the common denominator of 50/3 and c?
9
Let r = 49 + -31. Calculate the lowest common multiple of 20 and r.
180
Let k be (-51)/(-2214)*4*-3. Let z be 294/328*956/72. Let a = k + z. Calculate the common denominator of a and 47/16.
16
Let d be (-3)/(-9) + (-321)/(-9). Suppose 4*w - d = w. Calculate the lowest common multiple of w and 16.
48
Suppose 2*r + 3*d - 10 = 0, -3*r - 3*d = -0*d - 12. What is the least common multiple of r and 8?
8
Let c(h) = -h**2 + 8*h - 5. Let x(v) be the first derivative of v**3 + v**2 - v + 2. What is the least common multiple of x(1) and c(7)?
4
Let p be 1*3214/210 - -2. Let c = p + -176/15. Let j = -1638 + 13023/8. Calculate the common denominator of c and j.
56
Suppose 3 = 5*d - 42. What is the lowest common multiple of d and 4?
36
Suppose 0 = -4*k - 5 - 7. Let r = 5 + k. What is the least common multiple of r and 8?
8
Suppose 5*z = 4*x + 3*z - 12, 0 = -x + 4*z - 4. Let n = -23 + 65. Suppose -r - n = -x*r. Calculate the smallest common multiple of 22 and r.
154
Let w = 17 + -12. Suppose 3*m = -w*t + 22, -t + 2 = -0. Let k(b) = b**2 - 2*b + 4. What is the smallest common multiple of k(m) and 4?
12
Let w be (44/(-10))/((-4)/60). Calculate the smallest common multiple of 1/(1 - 63/w) and 14.
154
Let i = -397/17 + 9937/459. What is the common denominator of 83/18 and i?
54
Suppose -5*q + 0*v + 3*v + 86 = 0, -12 = -q - 2*v. Let z(o) = -o**3 + 9*o**2 - 2. Let l be z(9). Calculate the lowest common multiple of q and -9*(-2 + 3)*l.
144
Suppose 5*x + 2*j - 294 = 0, -227 = -4*x - 3*j + 11. Calculate the common denominator of -21 and (-2 + 1)*x/(-4).
2
Let k(p) = -2*p**2 - 3*p**2 - p**3 - p**2 + 6*p + 2*p**3. Let j be k(6). What is the lowest common multiple of 12 and 1/(1/j*3)?
12
Suppose 4*z = 3*k + 18, 2 = -2*z - 0*z - 4*k. Calculate the common denominator of -119/18 and z/3 + 274/(-40).
180
Let q(g) = g**3 + 4*g**2 - 3*g + 16. What is the smallest common multiple of 22 and q(-5)?
66
Let t(g) = g**3 - 7*g**2 - 3*g + 8. Let b be t(8). Suppose -b = -7*v + v. Calculate the lowest common multiple of v and 8.
8
Let k be (-6)/(-1017)*(-2)/4. Let a = k - 1318/113. Find the common denominator of 41/8 and a.
24
Let o be (3/9)/(110/6). Let l = -2921/330 + o. What is the common denominator of l and -123/10?
30
Let a = 10 + -10. Suppose 5 = 5*l - a. What is the lowest common multiple of l and 6?
6
Calculate the common denominator of ((-204)/(-15))/1 - 3 and -89/8.
40
Let y = -3129/80 - -373/10. Calculate the common denominator of 103/10 and y.
80
Let d(v) = -v**3 - 7*v**2 - 8*v + 2. Suppose 3*n + o + 16 = 0, -o - 24 + 2 = 4*n. Calculate the smallest common multiple of d(n) and 6.
42
Let q be 1/(3/(-30)*-2). What is the least common multiple of 6 - q - (1 + -6) and 1/(-1 - 12/(-10))?
30
Calculate the common denominator of 2/(-1) - (-210)/130 and -14/3.
39
Suppose q = -1, -2*q - 6 = -3*t - 40. Find the common denominator of -1 - ((-14)/t)/1 and (490/(-24))/(-7) - 2.
12
Let c = 82991/136 + -5333/34. Let n = 454 - c. What is the common denominator of n and 69/4?
8
What is the common denominator of 25/8 and 1425/(-24)*4/(-10)?
8
Let a(u) = u**3 + 5*u**2 + 5*u + 5. Let y be a(-4). Find the common denominator of 25/14 and 2 - (225/(-12))/y.
28
Let q be (255065378107/(-152008))/(583/(-4)). Let z = 60/1007053 - q. Let h = z + 11508. What is the common denominator of 15/8 and h?
88
Suppose -w - 42 = -8*w. Calculate the least common multiple of w and 18.
18
Let y = -181/18 - 547/36. Calculate the common denominator of -65/6 and y.
12
Let x = 11 - 8. Suppose 0 = 4*f + 3*y + 4 - 16, 5*f = -x*y + 18. Calculate the smallest common multiple of 11 and f.
66
Let p = -68 -