*j + 8 - 23. Calculate the least common multiple of j and 24.
24
Let k = -1359 + 13521/10. Let p = 1/821 + 36938/5747. Find the common denominator of p and k.
70
Let s be 1/3 - 2/(-3). Let r(x) = 2*x + 4. Let z be r(-2). Suppose z = -l + 6 - s. Calculate the lowest common multiple of l and 1.
5
Let p = -8/115 + 5191/230. Let g = 186676188/6989 + -26710. Let b = g + -363414/48923. Find the common denominator of b and p.
14
Let i be 26/7 - (-4)/14. Suppose f - 5 = -i*f. Suppose -6*t = 10 - 58. What is the smallest common multiple of t and f?
8
Suppose -4*w + 32 = 2*j, 4*w = -0*j - 5*j + 44. What is the lowest common multiple of 20 and w?
60
Let h = 0 + 4. What is the least common multiple of h and (2 - -1)*(0 - -1)?
12
Let w be 202*(-3 - (-5)/2). Find the common denominator of 1*1/(-16)*w and 93/8.
16
Let j = -8309999/3800 + -2169/950. Let f = -2195 - j. Let b = 51/44 - 8/33. What is the common denominator of b and f?
24
Let s = -37765/8 + 4727. Calculate the common denominator of s and -37/22.
88
What is the lowest common multiple of 18 and (-2)/6 - 143/(-33)?
36
Let g(x) = -x**3 + 5*x**2 - 4*x + 6. What is the least common multiple of 10 and g(4)?
30
Let z = -3369549 + 20160343/6. Let w = -9515 - z. What is the common denominator of w and (-9 + 2)/(4/18)?
6
Suppose 4*j - 68 = 20. Suppose 2*h + j = 4*h. What is the lowest common multiple of 4 and h?
44
Let c(p) = p - 5. Let k be c(6). Let w be k/(-8)*1149910/15. Let o = -9590 - w. What is the common denominator of 73/22 and o?
132
Suppose -5*u + 5 + 5 = 0. Let x = -6/269 - -2756/2959. Find the common denominator of x and (-120)/44 - (4 - u).
11
Let g = -14 - -30. Calculate the least common multiple of 14 and g.
112
Let i(y) = 3*y**2 + 11*y - 12. What is the lowest common multiple of 6 and i(-6)?
30
Let b = -12/259 - 20252/10101. What is the common denominator of 73/2 and b?
78
Suppose -5*z + 79 = 4*m - 0*z, 5*m - 102 = -3*z. Find the common denominator of 279/14 + (-9)/m and 11/2.
2
Let k = 0 - -14. Let u = 10 + -4. What is the lowest common multiple of u and k?
42
Let z be 2 + 33 + 0/1. What is the common denominator of ((-7)/z)/(2/(-47)) and 143/18?
90
Suppose -69 = -3*r + 3*n, r + 3*n - 21 = -r. Let y be (-4)/18 + 76/r. Suppose -y*m = -5*m + 6. Calculate the smallest common multiple of m and 6.
6
Calculate the common denominator of -67/24 and 5 - (-862)/(-72) - (-1 + -2).
72
Let p(v) be the second derivative of -v**4/12 + 7*v**3/6 + 5*v**2/2 - v. Calculate the least common multiple of p(6) and 5.
55
Let b(g) = g**2 - g - 12. Suppose 2*s = -3*s. Suppose m - 8 - 8 = s. What is the least common multiple of b(5) and m?
16
Suppose 4*l = 6 + 10. What is the least common multiple of 1 + (7 - (l + -3)) and 1?
7
Let l = 1402/75 + -404/25. Find the common denominator of l and -7/30.
30
Suppose 2*p + 23 = 2*h + 3*p, -62 = -5*h - p. Find the common denominator of (28/(-90))/(4/40) and h.
9
Let h be (-4)/(-8) + (-14)/4. Let d = 1 + h. Let u(m) = m**3 + 4*m**2 + 2*m - 2. Calculate the smallest common multiple of 22 and u(d).
22
Let c(j) = 2*j - 1. Let a be c(5). Let u be a/4 - 1/4. Calculate the common denominator of -11/20 and (u/(-4))/((-6)/(-207)).
20
Let t(b) = b**2 + 11*b + 10. Let c(f) = -2*f**2 - 21*f - 21. Let y(n) = -2*c(n) - 5*t(n). What is the smallest common multiple of 14 and y(-10)?
154
Let c = 99 + -92. Calculate the common denominator of 50/7 and c.
7
Calculate the lowest common multiple of (-7)/3*-3*2 and 18.
126
Let w be 1/(-4) - (-15915)/(-36). Suppose 0 = -z + 182 - 628. Let h = w - z. Calculate the common denominator of h and 38/3.
3
Suppose -5*u + 19 + 6 = 0. What is the least common multiple of u and 9?
45
What is the common denominator of (12/(-18))/(32/213) and 83/8?
16
Suppose -76 = -5*q - z - z, 5*z = -2*q + 22. Suppose -a = 4*a. Suppose 3*h - 24 - 36 = a. What is the smallest common multiple of q and h?
80
Let z = -20 - -56. Suppose 0 = 2*r - 6*r + 4. Calculate the common denominator of (-386)/z + r + 2 and 95/16.
144
Suppose -u - 2*x = -567 - 1749, 0 = -5*u - 2*x + 11572. Let f = u - 13783/6. Find the common denominator of 29/2*2/4 and f.
12
Let c = -121/72 - -14/9. What is the common denominator of c and 35/12?
24
Suppose -5*y + y + 4*u + 8 = 0, -4*y + 5*u + 9 = 0. Calculate the common denominator of -59/15 and 24*(27/132)/y.
165
Let l = 265689 + -804854/3. Let b = l + 2619. Calculate the common denominator of b and 2/3 - 74/(-24).
12
Suppose 5*y = -2 - 8. Calculate the lowest common multiple of (2/(-2) - -9) + y and 2.
6
Let o = -11 - -10. Calculate the smallest common multiple of 2 and (-3 + o/1)/(-1).
4
Let t = 311 - 2503/8. Find the common denominator of 37/82 and t.
328
Let c(t) = 3*t**3 + 2*t**2 - 2*t + 1. Let j be c(1). Suppose -3*m + j = -2. What is the smallest common multiple of ((-54)/15)/(9/(-30)) and m?
12
Let u(o) be the first derivative of o**4/3 + 3*o**2/2 - 2. Let b(y) be the second derivative of u(y). Calculate the smallest common multiple of b(1) and 4.
8
Let m = -99 + 102. Calculate the lowest common multiple of m and (4/(-10))/(2/(-50)).
30
Suppose 0 = 5*h - 0*h + 30. Let s be (h + 0)*6/(-9). Suppose 5*x + 10 = 4*o - 0*x, 3 = -o + s*x. What is the smallest common multiple of 3 and o?
15
Suppose -6 = -4*o + 38. Calculate the smallest common multiple of o and 1.
11
Let r = -4342/5 - -863. Calculate the common denominator of -15/11 and r.
55
Let d be 2/(9/6 + -1). Suppose d = 4*u - 0. What is the least common multiple of (3/4)/(36/96) and u?
2
Let i(j) = -9*j + 1. Suppose 5*x - 3 = -4*h, -5*h = -4*x - 1 - 13. Calculate the least common multiple of i(-1) and h.
10
Let v = -31/37 - 1341/740. Calculate the common denominator of v and -25/18.
180
Suppose -4*i = 3*z + i - 57, -4*i + 12 = 0. Let x(d) = d**3 - 4*d**2 + 9*d - 52. Calculate the least common multiple of x(5) and z.
126
Let o = 4378/435 - 23/87. Calculate the common denominator of 93/4 and o.
20
What is the common denominator of 14/27 and ((-2)/18)/(1/73)?
27
Let h be ((-7)/(-2))/((-1)/(-2)). Suppose -h*n = -k - 3*n + 10, -n - 107 = -5*k. Calculate the lowest common multiple of 2/(-3)*(0 + -3) and k.
22
Suppose -3*r - 1 = -7. Calculate the least common multiple of -2 + r + 0 + 20 and 2.
20
Let t = 148 + -139. Calculate the least common multiple of t and 7.
63
Let l = 266 - 76. What is the common denominator of (l/16)/(5/(-10)) and 19/46?
92
Suppose -2*j = 3*z - 23, 2*z + 10 = -j + 23. What is the smallest common multiple of 11 and j?
77
Let w = 377224/4353 - -12/1451. Let c = -89 + w. What is the common denominator of 6/11 and c?
33
Suppose 0 = -3*b + 5*g + 16 - 86, -5*g = b + 10. Let h = 30 + b. Let u(c) = -13*c - 116. Calculate the lowest common multiple of h and u(-10).
70
Suppose 35 = 3*n + 2. Suppose 3*v + 2*g = 32, 5*v + g + 4*g = 55. What is the lowest common multiple of v and n?
110
Suppose 4*y + 1088 = -3452. Let p = y - -7985/7. Calculate the common denominator of 139/6 and p.
42
Let h(s) = 3*s**2 + 5*s + 0*s**2 - 3 - 4*s**2. What is the lowest common multiple of 11 and h(2)?
33
What is the common denominator of 117/14 - 0/(-1) and 17/2?
14
Calculate the common denominator of (-2)/12*1242/(-168)*-4 and 37/6.
42
Suppose 3*a = i + i - 1, 4*i = 2*a + 14. What is the lowest common multiple of 33 and a?
33
Let t be 24977/(-12) - (-3)/(-9). Let b = t + 2095. Calculate the common denominator of (56/72)/((112/(-60))/(-7)) and b.
12
Let r be 0*(-2)/4 - 12. Calculate the common denominator of 2/(-10)*630/r and -63/10.
10
Suppose 0 = 4*p + 3*n + 3, 3*p - n - 1 = 4*p. Suppose p = -0*h + h - 10. Calculate the common denominator of 48/7 and ((-545)/25)/((-12)/h).
42
Let x(n) = -n - 16. Let y be x(-13). Let d(u) = 3*u**2 + 3*u + 4. Calculate the lowest common multiple of d(y) and 10.
110
Suppose -d + 590 = -5. What is the common denominator of (2 - -1) + d/(-126) and 149/6?
18
Suppose -4*t = t - 5, 9 = 2*p - t. What is the lowest common multiple of (-6)/p*80/(-6) and 18?
144
Let u = 16 - 14. Suppose -60 = -3*n - 21. Let l = n + -7. Calculate the lowest common multiple of l and u.
6
What is the lowest common multiple of 2 and ((-3)/(-15) + 2)*5?
22
Let k = -12 + 42. What is the smallest common multiple of 2 and k?
30
Let y = -157 - 493. Let x = y + 1558. Let r = x + -9141/10. What is the common denomina