 = l**3 + l**2 + l + 4. Let c be 0/(3 - (0 - -1)). Let b be t(c). Calculate the common denominator of 7/6 and (b/3)/((-4)/18).
6
Let r = -18 - -30. Suppose -4*v + 32 = -2*v. What is the lowest common multiple of r and v?
48
Let a(g) = -3*g - 8. Let t(m) = 6*m**2 - m + 1. Let w(r) = -r**2 + 1. Let z(u) = t(u) + 5*w(u). What is the smallest common multiple of a(-6) and z(0)?
30
Let v = -4/905 + 49783/1810. Find the common denominator of v and (91/(-4))/((-1)/1).
4
Suppose 4*w - 57 - 15 = 0. Let i = w - 7. What is the smallest common multiple of i and 5?
55
Let y be (0 - -27) + (-2 - 2). Suppose 5*c - y = 22. Calculate the lowest common multiple of c and 2.
18
Let d be (10/77768)/((-3)/(-9)). Let k = -116165995/116652 + d. Let l = k - -999. Calculate the common denominator of 49/4 and l.
12
Suppose 0 = o - 5 - 1. Calculate the least common multiple of 46 and o.
138
Calculate the lowest common multiple of (13 - (-2 - -4))/((-1)/(-2)) and 8.
88
Let j(d) be the first derivative of d**4/4 + 5*d**3/3 + d**2/2 - 5*d - 3. Suppose 25 + 11 = 4*y. Calculate the smallest common multiple of j(-4) and y.
63
Let x(w) = w**2 + 3*w**3 - 4*w**3 - 7*w + 5*w - 4. Let y be x(-4). Calculate the smallest common multiple of (-8)/6*y/(-8) and 4.
28
Let o = 7881172 + -8850553380/1123. Let t = o - -1933053/213370. Let f = t + -430/19. Find the common denominator of f and -23/8.
40
Calculate the common denominator of -31/12 and (10/(-44))/(42/(-196)).
132
Let r(z) = 3*z**2 - 2*z. What is the smallest common multiple of r(2) and 28?
56
Let s = 17 + -9. What is the least common multiple of 22 and s?
88
Let w = -55 + 81. What is the least common multiple of w and 12?
156
Let g = 2280/77 - -702/11. Let i = -2245/28 + g. What is the common denominator of i and -21/20?
20
Let z(t) = -t**3 - 4*t**2 + 2*t + 10. Let y be z(-5). Let i = y + -7. What is the lowest common multiple of i and 12?
36
Let m be 1/(5/2 - 2). Find the common denominator of (-3)/m*1/(-2) and (19/57)/(2/(-80)).
12
What is the common denominator of -3/16 and 2/(-12)*2982/112?
16
Let b(a) = -11*a + 2 + 10*a + 6. Let q be b(6). Calculate the common denominator of (-3)/(-42)*58 + q and -5/3.
21
Let q be 2 - (-3424)/76*1. Let w = q + -8882/171. Calculate the common denominator of w and 27/2.
18
Let b be -3 + 1 + 1 + -1. Calculate the lowest common multiple of 8 and 2*b/4*-18.
72
Let v = -16537 + 297575/18. Find the common denominator of v and -27/4.
36
What is the common denominator of (-3)/(-3) + (-226)/40 and 107/6?
60
Let k = 1921 + -34637/18. What is the common denominator of k and 49/6?
18
Suppose 2*t + m = -2*t - 811, 5*t - 5*m = -995. What is the common denominator of (t/6)/(66/9) and 9/10?
110
Let c be (-3)/(-18)*(-9)/(-86). Let o = -5231/860 - c. What is the common denominator of o and 41/4?
20
What is the smallest common multiple of 18 and 5 - (2 + -8)*1/(-2)?
18
Calculate the common denominator of (36/(-96))/(66/(-376)) and -45/22.
22
Let l = 55 + -33. What is the common denominator of (-2)/11 - (-510)/l and -61/5?
5
Let x = -2 + 4. What is the common denominator of ((-14)/(-72))/(x/4) and -61/8?
72
Calculate the common denominator of 14/76 - (-4 - -7) and 77/2.
38
Let x be (0 - 3 - -1)*-16. Calculate the common denominator of ((-116)/x)/(2/(-4)) and 43/8.
8
Suppose 9*z = 4*z. Suppose -2*q + z*q + 2 = 0. Suppose -5*x = 10, 2*v - 9 = 5*x + 17. Calculate the lowest common multiple of q and v.
8
Find the common denominator of ((-220)/246*-3)/(-4) and -59/14.
574
Suppose 0 = 2*y + 3*y - 20. Find the common denominator of (345/(-4))/(72/(-16)) and ((-61)/11)/((-8)/y).
66
Calculate the common denominator of 3 - ((-58)/36 + 1) and -85/16.
144
Suppose -57 = -5*b - 12. What is the lowest common multiple of b and (15 - 3)*(-4)/(-6)?
72
Suppose -4*y - 2*v - 18 = 0, -3*v = 6*y - y + 23. Let k = -3860/7 + 543. Calculate the common denominator of ((-135)/24)/((-2)/y) and k.
28
Let v = -1/1836966 - 30582728447/7347864. Let l = -4154 - v. Let n = 272035/15846 + -2/2641. Calculate the common denominator of n and l.
24
Let h = -167/9 - -647/63. Let z = -31553/10 + 3152. Calculate the common denominator of z and h.
70
Let w(t) = -t**2 + 8*t - 1. What is the smallest common multiple of w(6) and 8?
88
Let x = 9751/7650 - -4/1275. What is the common denominator of x and 101/2?
18
Suppose -10 = -7*g + 2*g. Let h be g/(-1322)*1/4. Let b = h - 8921/6610. What is the common denominator of 39/8 and b?
40
Suppose 0*g = -4*g + 36. What is the lowest common multiple of 3 and g?
9
Let n be ((-8)/(-3))/(2/(-6)). Let i = n + 13. What is the lowest common multiple of 9 and i?
45
Suppose 2*d = -d + 7260. What is the common denominator of -7/10 and (1/(-8))/(15/d)?
30
Let p = 22656475193/10290 + -13210747/6. Let r be 3*-1 - 10286/(-3430). Let k = r - p. What is the common denominator of k and -89/8?
56
Let u = -109/4 - -61/2. Find the common denominator of u and -123/10.
20
Let f be 20/(-21)*-1131 - -3. Let y = f + -1082. What is the common denominator of -4/5 and y?
35
Let i = -11 + 9. Calculate the least common multiple of 0/1 + i + 12 and 4.
20
Let r = -6353 - -88899/14. Find the common denominator of -23/16 and r.
112
Let q = -1/15791 - 1121023/2179158. Find the common denominator of q and 63/10.
690
Let r(c) be the second derivative of c**5/20 + 5*c**4/12 + 5*c**2/2 - c. Calculate the least common multiple of r(-5) and 9.
45
Let a(t) = -2*t - 3. Let u(s) = s**2 + 4*s - 1. Let h be u(-3). Let o be a(h). What is the least common multiple of 1 and (-20)/(-50) - (-28)/o?
6
Let x = -1091/10 + 109. Let a = 6 - 21. Find the common denominator of a/160*166/(-3) and x.
80
Let a = -805/6 + 122. Find the common denominator of 47/16 and a.
48
Let c(z) = z - 4. Let k be c(0). Let t(s) = -s**3 - 4*s**2 + s + 1. Let h be t(k). What is the common denominator of 2 + h/30*117 and 16/11?
110
Suppose -99 = 4*v - 15*v. Calculate the lowest common multiple of v and 16.
144
What is the least common multiple of 6 and 9/2*(-24)/(-9)?
12
Suppose 3*n + 1 - 13 = 0. Suppose n*d - 6 = 10. Suppose d - 2 = j. Calculate the lowest common multiple of 16 and j.
16
Let l(u) = -8*u - 1. Let f be l(-1). Let n be 2/(-3)*2*-3. Let p = f - n. What is the least common multiple of p and 2?
6
Let y be 0 + -1 + 2 + 23. Suppose -2*u + y = -5*o, o + 18 = 3*u - 2*o. Suppose 0 = u*m - 5 - 1. What is the lowest common multiple of 6 and m?
6
Let h(j) = -8*j - 4. Let k be h(-5). Suppose 3*r - p - k = p, -9 = 3*p. Let u(d) = d**2 + 7*d. What is the lowest common multiple of r and u(-8)?
40
Suppose 0 = 2*b - w - 44, -b + 6*b = 2*w + 112. Calculate the smallest common multiple of b and 4.
24
Suppose 2*a - 22 = -0*a. What is the smallest common multiple of 3 and a?
33
Suppose 0*x - 3 = -x. Suppose -6*c + 18 = -x*c. Calculate the lowest common multiple of c and 4.
12
Let a(m) be the second derivative of -m**5/20 + 5*m**4/12 + 4*m**3/3 - 7*m**2/2 - 2*m. What is the least common multiple of a(6) and 3?
15
Let l = 3135/8 - 397. Let a be 67/((-2)/(-4)*2). Calculate the common denominator of (-3)/(-2)*a/(-12) and l.
8
Let k be (2/37588)/((-5)/20). Let a = -6445407294928373/37588 - -171475132864. Let n = a - k. What is the common denominator of n and -43/12?
12
Let n(h) = -h**3 - 7*h**2 - 5*h + 5. Let g be n(-6). Let w be (-2)/g - (3 - -1). Calculate the least common multiple of (1/3)/(w/(-54)) and 7.
63
Suppose -5*z = -2*g - 2, 5*g + 5 = -3*z - z. What is the common denominator of (-77)/(-6) + (-2)/g and -95/14?
42
Suppose 2*f - 16 = -m, 2*m + 8 = -0*m. What is the smallest common multiple of f and 6?
30
Let h = 7601 - 167121/22. Suppose -4*t + 4*x - 4 = 0, -t - 16 = x + x. What is the common denominator of h and (-3)/2*61/t?
44
Suppose -2*z + 5*z + 2 = 2*j, -z = -5*j + 18. Calculate the least common multiple of z and 6.
6
Let s(w) = 5*w + 1. What is the least common multiple of s(1) and 26?
78
Let l = -43/936 - 1/104. Suppose -2*r - 2501 = -v, 5008 = 2*v - r - 0*r. What is the common denominator of l and v/(-528) + 4/22?
144
Let f(l) = -l**3 + 9*l**2 + 11*l - 12. Let k be f(10). Let w = 2/2027 - -135801/8108. Find the common denominator of 0 + k + (-96)/(-14) and w.
28
Let j be (-3)/(-6) - 253/(-2). Let l = j + -1269/10. Calculate the common denominator of l and -7.
10
Suppose 15 = 2*d - 13