4*y + 9, -5*y - 2 = -d - 16. Suppose a = 2*a - 18. What is the smallest common multiple of y and a?
18
Suppose 9*o - 5*o = -4*s + 684, 506 = 3*o - 4*s. What is the least common multiple of 51 and o?
510
Suppose 18 = 3*i + 3*k, -3*k = -i + 18 + 8. Let w(d) = -2*d + 7. Let s be w(-5). Let v = s - i. Calculate the common denominator of v and 25/8.
8
Suppose 121 - 1801 = -10*y. Calculate the lowest common multiple of y and 12.
168
Let p(k) = -k**3 - 9*k**2 + 9*k - 3. Let s be p(-10). What is the least common multiple of 9 and (-3 + -1)*(-3 - s/28)?
117
Calculate the least common multiple of 8 and -3 + (122 - (-4 + -2)).
1000
Let k = -2291 - -13697/6. Let h = -745 + 2309/3. What is the common denominator of k and h?
6
Suppose -2*o + p - 1 = o, 4*p = 5*o - 3. Let k = -136105/44693 - 1/8126. Calculate the common denominator of k and o*(-9)/12*-1.
44
Let b = -7660/23 - 159/46. Let y(s) = -26*s + 105. Let z be y(-8). Let m = b + z. Calculate the common denominator of m and 25/2.
2
Let r(j) = j**3 + 14*j**2 + 5*j - 78. What is the least common multiple of 105 and r(-12)?
1050
Let g = -161 + 166. Calculate the least common multiple of g and 59.
295
Let m = 19 + -9. Let n = 22 - 19. Suppose -n*j = -j - 44. What is the smallest common multiple of m and j?
110
Let t = 151/4 + -33. Let q = -57/20 - t. What is the common denominator of q and -41/92?
460
Let p(b) = -b**3 - 6*b**2 - b - 10. Let q be p(-6). Find the common denominator of (1206/324)/(6/q) and 83/33.
297
Calculate the smallest common multiple of (5985/(-14))/15*(-11 + 1) and 55.
3135
Let a = 20 + -12. What is the lowest common multiple of 5 and (63/7)/(12/a)?
30
Calculate the least common multiple of (-1 + -26)/(2/(16/(-3))) and 6.
72
Let a = -817320180335380 - -1082131983267414245/1324. Let b = a - 48718566. Let i = 1/662 - b. Find the common denominator of i and 13/20.
20
Suppose -14 + 4 = -2*g + 2*f, f - 13 = -2*g. Let q = 11 - g. Calculate the least common multiple of 4 and q.
20
Suppose -33*p + 515 = -28*p. Let v = p - 78. Calculate the least common multiple of v and 40.
200
Let x = -215758/45 + 4793. What is the common denominator of 81/20 and x?
180
Let w(s) be the first derivative of -s**3/3 - 15*s**2/2 - 4*s + 5. Let u = -31 - -51. What is the smallest common multiple of u and w(-14)?
20
Let t(i) = 7*i + 2. Let j be t(-1). Let m(o) = o**2 + 5*o + 10. What is the lowest common multiple of m(j) and 22?
110
Find the common denominator of (-33)/2*99/(-81) and 679/(-12)*(-180)/840.
24
What is the common denominator of 31/122 and 8/7 - 15700/3080?
1342
Suppose 24 - 6 = 2*q. Let w(p) = p - 1 + 1. What is the smallest common multiple of w(q) and 8?
72
Let u be (6/(-15))/((-2)/(-10)). Let f(z) = -3*z**2 - 2*z - 2. Let b be f(u). Calculate the smallest common multiple of ((-16)/b)/((-6)/(-15)) and 3.
12
What is the least common multiple of (-2*(-6)/(-6))/((-1)/2) and 56?
56
Suppose -4*m + 40 = 36*o - 35*o, 285 = 5*o + 3*m. What is the least common multiple of o and 12?
60
Let l = -9 - -29. Calculate the common denominator of ((-351)/l)/(-3) + (-3)/6 and (-6)/(-44)*4/(-12).
220
Let c be 2358/35*2/21. Let y = 1/2940 + c. Calculate the common denominator of 55/36 - 8/(-11 - -3) and y.
36
Suppose 3*j = -5*r + 4, -4*j - 4*r - r + 7 = 0. Suppose 0 = -5*l + j*l - 6. Let g(c) = -2*c**2 - 7*c - 1. Calculate the least common multiple of 6 and g(l).
6
Let j(p) = p**3 + 10*p**2 + 13*p. Let m = -38 - -30. Calculate the smallest common multiple of 33 and j(m).
264
Let t be 1404/(-15) - (-4)/(-10). Calculate the common denominator of 41/16 and -1 + (t/(-20))/((-12)/(-10)).
48
Suppose -5*b + 13 = -2*l + 70, -l + 26 = -2*b. Let g(k) = k + 4. What is the least common multiple of g(-2) and l?
16
Suppose 5*k = 5*j - 2*j + 19, -5*k = -4*j - 22. Let n(d) = 86*d**2 - 2*d - 1. Let x be n(k). Calculate the common denominator of 55/12 and (-6)/54*x/4.
12
Let y(d) = -d**3 + d**2 + 1. Let f(v) = 2*v**3 + 5*v**2 + 4*v - 4. Let o(g) = f(g) + y(g). What is the least common multiple of 10 and o(-5)?
10
Suppose -21 = -4*p - g, -2*p = -0*g - g - 3. Suppose 3*m + p*q - 16 = -5, -29 = -m + 5*q. Suppose 5*z = 4*z + m. What is the lowest common multiple of 10 and z?
90
Let w(i) = 2 - 3 - 4*i - 3. Calculate the least common multiple of w(-6) and 54.
540
Calculate the common denominator of 138/(-45) + (-8)/(-60) and -1/33.
165
Let s = 15 - 29. Calculate the common denominator of -79/18 and (0 - 95/s)*-1.
126
Let r(z) = 10*z - 13. Let q be 1 + 2 + 2 + 1. Let v be r(q). Find the common denominator of (v/3)/(21/(-9)) and 113/10.
70
Let s = -35/3 + 11. Let d be 2/14 + 1705/(-77). Find the common denominator of s and (6 - 9) + 42/d.
33
Let p = -11049662812 - -86032674408969/7786. Let r be (-4)/17*(-17)/(-7786). Let s = r - p. Calculate the common denominator of s and -5/6.
6
Let v be 14/(-63) + (-641)/(-9). Let n = v - 37. Let p(c) = 37*c - 72. What is the smallest common multiple of n and p(2)?
34
Let s = 636581/30 + -21222. Calculate the common denominator of s and 32/615.
1230
Suppose -z - 96 = -5*z. Let c(m) = m**2 + 2*m - 97. What is the smallest common multiple of c(-11) and z?
24
Let i be ((-3)/(-6))/(2/16). What is the lowest common multiple of 7 and 2 + i + -4 + 1?
21
Calculate the common denominator of (6/(-10))/(198/8) and 133/12.
660
Suppose -5*l - 3*o + 16 + 8 = 0, 0 = -4*o + 12. Let s = -7 + -2. Let j = 17 + s. What is the smallest common multiple of j and l?
24
What is the common denominator of (-3052)/(-4480) + 4/(-10) and -63/16?
32
Let n(l) = -2*l**2 + 3*l - 4. Let o be n(5). Let c = -22 - o. Calculate the smallest common multiple of 6 and c.
102
Suppose 688 - 702 = -2*j. What is the least common multiple of j and 53?
371
Let m(a) = -a**2 + 8*a - 8. Let z be m(6). What is the least common multiple of 12 and 21/(22/z + -4)?
84
Let x = -155 + 153. What is the least common multiple of 2*(-10)/(-5) - x and 34?
102
Suppose -9*y + y = 176. Let d = y - -26. What is the least common multiple of 5 and d?
20
Suppose 106 = r + 6. Suppose 0 = -8*u + r + 60. Calculate the least common multiple of 30 and u.
60
Let b = -1911 - -1981. What is the smallest common multiple of 345 and b?
4830
Let t = 48 - 61. Let l(p) = -p**2 - 16*p - 31. Let u(h) = h**3 + 4*h**2 + 3*h. What is the smallest common multiple of l(t) and u(-2)?
8
Let l = -18 - -17. Find the common denominator of (-1)/13*(45 + -4) and (l - 0) + 315/20.
52
Let k(d) = -79*d + 366. What is the least common multiple of 52 and k(4)?
1300
Let o be 8/6*(-756)/(-18). Suppose -o = -18*d + 14*d. Calculate the lowest common multiple of d and 4.
28
Suppose 0 = -0*n + 2*n - 26. Let q(x) = 3*x**2. Let w be q(-1). Suppose w*k + 1 = n. Calculate the smallest common multiple of 2 and k.
4
Suppose -4*z + 1 = -p - z, -2*p + 5*z = -3. What is the common denominator of -77/24 and (p/672)/((-1)/38)?
24
Suppose 4*y - 3*n = -7, 3*y + n - 13 = -y. Let k(a) = a**2 + 5*a + 6. Let f be k(-5). Suppose u = f*u - 40. Calculate the smallest common multiple of y and u.
8
What is the lowest common multiple of (-423)/(-45) - 13/(-5) and 388?
1164
Let x = -676 + 1433/2. Find the common denominator of x and 19*(-2)/6 - 1.
6
Let t be 1*(4 - 1 - 2). Let j be t*(93282/(-27) - -3). Let s = 3456 + j. Find the common denominator of -43/6 and s.
18
Suppose -5*u + 4 = 3*v - 106, 2*v = -4*u + 76. Calculate the lowest common multiple of 70 and v.
210
Let q = -349 - -379. What is the smallest common multiple of q and 27?
270
Suppose 0 = 5*o - 25, x = -6*o + o + 97. Calculate the least common multiple of 80 and x.
720
Let y(q) = 32*q + 9. Let i be y(8). Suppose z - 3*c = -i, 0*c + 4*c = 3*z + 800. What is the common denominator of 9/(-6)*z/(-96) and 45/2?
16
Suppose 0 = o - 1 - 1. Suppose o = s - 1. Suppose s*a + 3*a = 60. What is the smallest common multiple of a and 2?
10
Let b(m) = -m**2 - 6*m - 10. Let p be b(-4). Find the common denominator of -34/9 and p/15*(-61)/4.
90
Let f = -8 - -12. Suppose -13 + 1 = -f*c. Suppose -4*o + 70 = c*x + 24, 2*o - 3*x = 14. Calculate the lowest common multiple of 22 and o.
110
Let u = -93732380429791/10932 + 8574129210. Let q = -8/911 + u. What is the common denominator of q and 71/3?
12
Let m be (-2112)/56 + 4/(-14). Find the common denominator of (-3)/m*(-32)/(-6) and -83/8.
152
Let x