iple of y/24 + 1/(-4) and 8?
8
Suppose -2*x + 105 = 3*x. Let a = -11 + x. Calculate the least common multiple of a and 16.
80
What is the common denominator of -6 - ((-261)/(-30))/(24/(-50)) and 25/94?
376
Suppose 0 = -a - 4*a + 145. Let o = 10/37 + 6691/296. Let w = o - a. Calculate the common denominator of -10/7 and w.
56
Let m(v) = v**3 + 5*v**2 - 6*v. Let r be m(-6). Calculate the smallest common multiple of 2 + -1 + 1 + r and 16*1/(-1)*65/(-52).
20
Suppose h + 29 = 4*d, 0 = 3*h + h - d + 86. What is the common denominator of (-6)/(-15)*(-91 + -4) and h/(-8)*(-40)/(-18)?
6
Let x = -5 + 49. Calculate the smallest common multiple of 8 and x.
88
Let x(l) = -l**2 - 15*l - 6. Let h be x(-14). Let m be h/12 - 5/3. What is the common denominator of -13/8 and (0 - m) + (-148)/6?
24
Suppose 0 = -3*a + 3*f - 4*f + 120, -5*f = -5*a + 180. Let y = a + -33. What is the smallest common multiple of 12 and y?
12
Suppose -5*t = -4*x + 4, -t + x - 16 = 4*t. Calculate the common denominator of ((-1)/t)/(1 - 117/114) and -3/22.
22
Let d be 1 + 12/4 + 0. Suppose d*u = -21 - 11. What is the least common multiple of 2 and 3 - -12*u/(-12)?
22
Let y = -956689/104 + 9199. Calculate the common denominator of -1/40 and y.
520
Suppose 66 = 3*m - 114. Suppose 4*z + m = 7*z. What is the least common multiple of 22 and z?
220
Let a(k) = -5*k**3 - 4*k**2 + 18*k + 36. Calculate the lowest common multiple of a(-2) and (3*1)/(3 + -2).
24
Let h = -4462 - -3067. Let x = h - -12604/9. Let i = -3285 + 23039/7. What is the common denominator of x and i?
63
Calculate the common denominator of -95/158 and (-6 - (-69)/20) + -1.
1580
Find the common denominator of (-252)/(-144) - (-4 + (-2204)/(-240)) and -29/60.
60
Let g = -2/433083 + -92535325/16457154. Let v = 148/19 + g. Let w(p) = -p**2 - 13*p - 8. What is the common denominator of v and w(-11)?
6
Let j = -135 - -137. Suppose -3*k + 13 = 2*a - 23, -k + 28 = j*a. Calculate the least common multiple of 16 and a.
48
What is the lowest common multiple of (-2)/10 - ((-3088)/(-5))/(-8) and 70?
770
What is the least common multiple of (-1683)/(-7) - ((-45)/(-35))/3 and 140?
1680
Let u = -262507/30 - -8745. Find the common denominator of -29/200 and u.
600
Let h(n) = -3*n + 4. Let u(y) = -y**3 + 9*y**2 - 3*y. Let v be u(8). Suppose -8*o = -6*o - v. Calculate the smallest common multiple of o and h(-8).
140
Let n = 13495/8 - 1954931/1160. Let b = n + -20/29. Calculate the common denominator of 101/2 and b.
10
Suppose 2*d - 15 = -3*m - 0*d, 20 = 4*m - 2*d. Suppose 2*b + 2*z = 16, -5*b - m*z + z = -44. Let q = 56 + -34. What is the smallest common multiple of q and b?
132
Suppose -5*j = d - 42, -12*j + d + 6 = -11*j. What is the least common multiple of j and 16?
16
Let c = -46 - -51. Calculate the lowest common multiple of c and 12.
60
Let u = 2008 + -28135/14. Calculate the common denominator of u and ((3388/33)/4)/(-2).
42
Let v = 4 - 62. Let j = v - -90. Calculate the least common multiple of j and 8.
32
Let z(r) = 3*r - 6. Let x be z(-1). Let h = 3 - x. What is the least common multiple of h and 6?
12
Let r = 20417/542150 + 309/1549. Find the common denominator of r and -41/200.
1400
Let u = 5005/4 + -1229. What is the common denominator of 133/12 and u?
12
Suppose -5*y + 6 = -3*y. Let f(g) = 12*g + 4. Let k be f(y). Let t = 133/3 - k. Find the common denominator of 14/11 and t.
33
Suppose c - 5497 = -4*h, -7005 - 15034 = -4*c + h. Let j be c + (-3)/(4 - 1). Let y = j - 71640/13. Calculate the common denominator of y and -25/6.
78
Let r(y) = y**2 + 14*y + 10. What is the smallest common multiple of 156 and r(6)?
780
Let q(x) = 3*x**3 + 2*x**2 + x. Let h be q(-1). Let d be (-755)/(-45) - h/9. Let r = d - 6. What is the smallest common multiple of 3 and r?
33
Let k = -143340/7 + 20480. Let z = -1766 - -14181/8. Calculate the common denominator of k and z.
56
Let f(j) = -6 + 4 + 0*j + 8*j. Let b be f(2). Let n = b + -13. What is the lowest common multiple of n and 7?
7
Suppose -213 = 2*y - 35. Let f be y/(-3 + (-1389)/(-457)). Let n = -2265 - f. Find the common denominator of -69/10 and n.
90
Let r(n) = 8*n + 22. Let g be r(-9). Let q be 46/g*45520/(-32). Let f = -6604/5 + q. Calculate the common denominator of f and 4/5.
10
Let f be 363/(-630)*(1 + (-4955)/458). Let z = 12/1603 - f. What is the common denominator of z and -37/20?
20
Let d(y) = 2*y**3 - 45*y**2 + 34*y + 20. What is the least common multiple of d(22) and 32?
2272
Let s(n) = -4*n**3 - 9*n**2 - 3*n - 17. Let m(c) = -c**3 + c**2 - c - 1. Let x(b) = 3*m(b) - s(b). Calculate the smallest common multiple of 30 and x(-12).
210
Let v(b) be the first derivative of b**3/3 - 3*b**2 + 8*b - 6. Let k(f) = f + 29. Calculate the lowest common multiple of v(6) and k(-19).
40
Suppose -4*v - 2*x = -4*x - 1578, -2*v + 3*x + 783 = 0. Calculate the common denominator of (v/110)/(0 + 7/(-10)) and -19/5.
35
Let k = 10486/9 - 1168. Calculate the common denominator of k and -7/4.
36
Suppose -4 = -10*b + 11*b, 5*i - 173 = 2*b. What is the smallest common multiple of i and 2 + (3 + -3)*1?
66
Let k be 1/1 + 0 + 2. Suppose 986 = 4*c + 58. What is the common denominator of 61/9 and (c/k)/4 + 1?
9
Let i = -32119/342 + 1872/19. Calculate the common denominator of i and 37/81.
162
Let s = -4245/4 - -1052. Let n be 7/(189/9894) + -2. Let p = n - 364. Calculate the common denominator of s and p.
36
Let o(u) = -1. Let c(d) = -4*d**2 - 4. Let a(t) = -c(t) + 4*o(t). Let z be a(2). Suppose l - z = 6. What is the lowest common multiple of l and 8?
88
Suppose j - 4*i - 94 = -4*j, -2*i - 54 = -3*j. What is the least common multiple of 1/((-2)/4) + 4 and j?
14
Suppose 0 = 2*o - 0*a + 4*a - 20, -15 = -3*a. What is the least common multiple of (17 - -1) + o*(-1)/(-4) and 4?
36
What is the common denominator of -23/1132 and -4 + 4990/480 - (-4)/(-12)?
4528
Suppose -17*f + 20 = -21*f, -5*i + 2340 = 4*f. What is the least common multiple of 3 and i?
1416
Suppose -315*k + 324*k = 1800. Calculate the least common multiple of k and 22.
2200
Suppose 0 = 2*y - 8, -4*q - 6*y + 3*y - 272 = 0. Let x = q - -86. What is the smallest common multiple of 3 and x?
15
Let a(s) = 11*s - 10. Calculate the smallest common multiple of a(10) and 44.
1100
Calculate the common denominator of 53/56 and (0 - -1)*(-11 + 2700/160).
56
Suppose 9*v = 8*v - 4*q - 10, 5*v + 135 = -3*q. Calculate the common denominator of (-3)/30*4 - 397/v and 1/36.
36
Let y be (4 + 9/(-4))/(2/32). Suppose -6 = 3*b, 0 = -3*x + 7*b - 2*b + y. What is the lowest common multiple of 16 and x?
48
Let h = 9 + -6. Suppose 20 = 6*m - 10. Suppose -m*p + r + 56 = -2, 0 = 2*p + 5*r - 7. What is the smallest common multiple of p and h?
33
Let h(r) = 5*r**2 - r + 6. Calculate the least common multiple of 119 and h(-5).
952
Suppose 2*m - 132 = 3*s, 0*m = -3*m - 2*s + 172. Let h be 1596/9*m/(-8). Let c = h - -7943/6. What is the common denominator of -55/24 and c?
24
What is the smallest common multiple of 14 and -14 + 11 + -63*8/(-12)?
546
Let r = -623 - -634. What is the least common multiple of r and 81?
891
Let m(n) = n**3 + 12*n**2 + n + 15. Suppose -4*h - 42 = 6. Let u be m(h). Suppose u*v = 15 + 12. What is the least common multiple of v and 11?
99
Let x = 126 + -122. Calculate the smallest common multiple of x and 16.
16
Let d(x) = 10*x + 3. Let u = -42010/9 - -4660. Find the common denominator of u and d(3).
9
Let k(z) = 3 - 7*z + 21*z - 15*z. What is the least common multiple of 9 and k(-1)?
36
Let t(r) = r**3 + 13*r**2 - 4*r - 19. Let k be t(-13). What is the smallest common multiple of 66 and (-3)/k*2 + 134/11?
132
Suppose 4*j - 68 = -7*z + 4*z, 3*z = 12. Calculate the lowest common multiple of j and ((-72)/(-180))/(203/1400 - 1/8).
140
Let m(t) = t**2 - 9*t + 14. Suppose -11*s + 3*s = -64. Calculate the lowest common multiple of 66 and m(s).
66
Let l = 1097 + -1045. What is the least common multiple of l and 76?
988
Let a = -13161799403 + 117982370012081/8964. Let q = a - -1/2241. Let r = 17 - q. Find the common denominator of 55/4 and r.
4
Calculate the common denominator of 6/14 + (-4)/4816*957 and 7/2.
172
Let x(p) = p**3 + p**2 + 4*p + 6. Let v be x(-2). Let y(w) = -w - 1. What is the least common multiple of 1 and y(v)?
5
Suppose -5*f + 5*j = -560, 6*f + 32