*v + 40. Let f be (2 + -3 + -1)*165/30. What is the least common multiple of -1 + 6*(2 - 1) and h(f)?
90
Let n be (-14)/8 + 3/4. Let a be (1*n)/(25/(-75)). What is the smallest common multiple of 25/a + 2/(-6) and 13?
104
Let m be 138/7 - 2/(-7). Suppose 4*c = 8*c - m. Calculate the smallest common multiple of c and 1.
5
Let k be (-2247)/(-27) - 0 - (-6)/(-27). Find the common denominator of -13/110 and k*(20/24)/(-5).
330
Let s be ((-10)/18 - (-16)/72)*-18. Find the common denominator of 46/5 and (2/(-20))/(s/492).
5
Suppose -6*r - 7 = -67. What is the lowest common multiple of r and 56?
280
Calculate the common denominator of (6/(-10))/(171/(-2679)) and 34/885.
885
Let l be ((-192844)/(-29820))/((-12)/(-10)). Let a = 1/4473 - l. What is the common denominator of 37/24 and a?
72
Suppose -15*r = -21*r + 192. Suppose 2*n - 32 = -0*n. Let k = r - n. Calculate the lowest common multiple of k and 14.
112
Let g be (-18244)/18*45/30. Let z = -1534 - g. Find the common denominator of -47/31 and z.
93
Suppose 0 = -v - 3*y + 56, -4*y - 395 = -5*v - 153. Let d(x) = x**3 + 15*x**2 + 23*x - 25. Calculate the least common multiple of v and d(-13).
350
Suppose 21*a - 22*a + 18 = 3*h, -52 = -2*a + 2*h. What is the least common multiple of a and 48?
48
Let s be 2/(-12) + (-3)/(-18). Let n(g) = -g - g + g**2 + 8 + 4*g. What is the lowest common multiple of 2 and n(s)?
8
Let h = 14 - 7. Let n(c) = 7*c + 168. Calculate the lowest common multiple of n(-23) and h.
7
Find the common denominator of 14/28 - 140/6 and -67/108.
108
Suppose 0*h - 5*a - 7689 = 3*h, -3*h + a = 7707. Let z = 53969/21 + h. Find the common denominator of z and -47/27.
189
Let b = 2548 + -4401. Let a = -18553/10 - b. Find the common denominator of a and -22 + 91/28 + -3.
20
Suppose -405 = -3*j - 381. Suppose 3*t - 15 = -0. Suppose -t*r - 15 = 5*g, -21 = r - 2*r + 5*g. Calculate the least common multiple of r and j.
8
Suppose -22*s + 27*s - 60 = 0. Let y = -28 + 34. Calculate the lowest common multiple of s and y.
12
Let v be 3/3 + 90/(2 + 1). Let r = v + -23. What is the lowest common multiple of r and 9?
72
Let k = 12 + -10. Suppose k*z = 2*b + 52, -3*b + 24 = z + 10. What is the common denominator of (-1 + z)*(-105)/60 and -43/14?
14
Let a = 5 - 4. Let q be a*(-3)/18*-4327. Let l = q + -742. Calculate the common denominator of l and 145/18.
18
Suppose -3*o - 6*p = -p - 79, 0 = -2*o - 4*p + 56. Suppose -111 = -4*l + a, 32 = l + a + 3*a. Calculate the common denominator of -41/2 and o/1*l/21.
2
Let s(d) = d**3 - 44*d**2 + 86*d - 74. What is the smallest common multiple of 20 and s(42)?
20
Suppose 0*q - 3*q = 4*q. Suppose q = 2*t + 4, y - 17 + 1 = -t. What is the smallest common multiple of y and 24?
72
Suppose 2*i + 2 = 0, i = k - 6*k - 11. Let l = k + 28. Calculate the lowest common multiple of 14 and l.
182
Let a = 191/22 + -113/11. Calculate the common denominator of 115/98 and a.
1078
Let o = 148 + -2871/20. Suppose 7*f + 6*f = -178009. Let x = f + 766779/56. Find the common denominator of o and x.
280
Suppose 5*h + w = -300, -h - 23 = w + 37. Let i be (h/231)/(24/1372). Let a = -44/3 - i. Find the common denominator of a and 57/8.
88
Suppose -b = 75 + 258. Let w = 703/2 + b. Calculate the common denominator of -21/82 and w.
82
Let o = -10/2789 - -61748/108771. Find the common denominator of o and -34/15.
195
Let v = 3401649/283 + -12020. What is the common denominator of -20/3 and v?
849
Let b = 50/33 + -200/11. Let j = -4239/154 + 2/77. What is the common denominator of b and j?
6
Calculate the common denominator of 93/56 and (-340)/(-42)*((-490)/(-168))/(-5).
504
Let f = -8834141/84 - -105167. Find the common denominator of -169/84 and f.
84
Suppose m - 5*v - 76 = 0, 5*m - 247 = -4*v - 12. What is the smallest common multiple of m and 30?
510
Let y(r) = -8*r**2 - 2. Let w be y(-2). What is the common denominator of (-4 - (-5 + 7)) + (-190)/(-16) and (1/2)/(9/w)?
72
Let n = 1 + 5. Suppose 0 = 8*y + 12 - 60. What is the lowest common multiple of y and n?
6
Let x = -31 + 6. Let f = -17 - x. Calculate the smallest common multiple of f and 16.
16
Let k be (-25)/20*(-4 - 0). Find the common denominator of ((-79)/k)/((-8)/(-4)) and ((-132)/2)/(24/(-64)*12).
30
Suppose 18*j + 3*j - 315 = 0. What is the smallest common multiple of j and 135?
135
Find the common denominator of 208/468 - 676/630 and -12/49.
245
Let f be 3436/(-2)*15/1680. Let k = 131/7 + f. Calculate the common denominator of k and 109/150.
600
Let s be 4/8 - 386*(-39)/108. Let d = 140 - s. Calculate the common denominator of -64/15 and d.
45
Let t = 14693 + -528869/36. Let n = 2318 + -6476. Let l = 49949/12 + n. What is the common denominator of t and l?
36
Let o = 3373/312 - 114/13. What is the common denominator of (-4)/48*-4*-13 and o?
24
Let x(p) = -9*p**3 + 2*p**2 - 1. Let f be x(1). Let d = 208123/18 - 11557. What is the common denominator of 2/f*(-206)/11 and d?
198
Let a = 20 - 36. What is the common denominator of 1/(a/(-13)) + 1 and 168/(-420)*-5*2 + 370/(-36)?
144
Let g = -419 - -723. Calculate the common denominator of 117/140 and ((-15)/(-48))/((-4)/g).
140
Let g(h) = -h**2 + 13*h - 26. Let s be g(11). Let l = 57/8 - 327/56. Find the common denominator of l and (-82)/21 + (0 - s/12).
7
Suppose 0 = -b - 4*y + 2 - 0, -4*b = -2*y - 62. Let k = 19 - b. Suppose -k*c = -94 - 16. What is the least common multiple of 10 and c?
110
Let l(f) = f**2 + 19*f + 21. Let j be l(-18). Suppose j*m + 2*q = m + 24, -53 = -5*m + 2*q. What is the smallest common multiple of 6 and m?
66
What is the least common multiple of 8/(-2 + (9/8 - -1)) and 5?
320
Suppose 0 = 5*x + 5, 1828 = 3*i - 13*x + 9*x. Calculate the lowest common multiple of i and 16.
608
Let g = 154/23 - 2775/253. Find the common denominator of g and 59/62.
682
Let y = -15 + 5. Let g be (-278)/(-120) - (-4)/y. Let d = g - 5/3. Calculate the common denominator of 89/8 and d.
8
Let w = 6467/9 + -715. Let b = 7015 - 4189. Let z = b - 19749/7. Find the common denominator of z and w.
63
What is the lowest common multiple of 3/(-2) + (-5586)/(-196) and 12?
108
Suppose 0 = -2*x + x + 2. Suppose 24 = 2*a - 4*z, 7*a - x*a = 4*z + 66. What is the least common multiple of a and 14?
14
Suppose 5*o = -5*f + 200, 5*o + 165 = 9*o + 3*f. Calculate the lowest common multiple of 60 and o.
180
Let w = -784 + 839. Calculate the smallest common multiple of w and 30.
330
Suppose 13*a - 24*a = -6369. What is the lowest common multiple of a and 18?
3474
Suppose -4*z + 1 = -7. Suppose -2*u + 16 = z*u. Calculate the smallest common multiple of 16 and u.
16
Let q(g) = -g - 9. Let w be q(-11). Suppose k + 3*k - 36 = -w*l, 2*k + 3*l - 26 = 0. Let z = 25 + -14. Calculate the lowest common multiple of k and z.
77
Let u = 17458819/162 + -107770. Find the common denominator of 59/54 and u.
162
Let i = -333 - -403. Calculate the smallest common multiple of i and 2.
70
Let i be -2 + (3 - 3) - -6. What is the least common multiple of (14/i)/((-1)/(-4)) and (12/(-9))/((-1)/3)?
28
What is the common denominator of 4/(1088/(-828))*20/30 and 43/170?
170
Suppose 2*u - 4*z = 8, 2 = -u - 4*z - 18. Let a = u - -14. Calculate the smallest common multiple of a and (-125)/(-20) + (-1)/4.
30
Calculate the lowest common multiple of 5 and ((-2)/4 - -2)/((-4)/(-648)).
1215
Let r = 56 + -8. What is the smallest common multiple of 12/r - 142/(-8) and 18?
18
Let g(i) = -9*i**2 + i - 1. Let w(u) = -u**2. Let j(q) = -g(q) + 4*w(q). Calculate the lowest common multiple of 1005/134 - 6/(-4) and j(1).
45
Let l(d) = 31*d**2. Let r = 2 - 1. Let i(n) = -n**3 - 2*n**2 - n - 7. Calculate the smallest common multiple of l(r) and i(-3).
155
Let z be 51597/99 - ((-4)/11)/(-2). Let j = 1598/3 - z. Find the common denominator of j and -67/30.
30
Let b = -9 + -6. Suppose h + 4*h + 2*l + 248 = 0, -92 = 2*h - l. Find the common denominator of (-2)/6*b/(-50) and h.
10
Suppose 4*o = -3*c + 52, 3*o + o - 28 = 3*c. Calculate the smallest common multiple of (-1)/5 + 36/25*5 and 10/(-4)*(-8)/o.
14
Suppose -3*a - 37 - 48 = -5*g, 25 = 5*a. What is the lowest common multiple of g and 22?
220
Suppose -12*d + 15*d - 366 = 0. Let r = -98 + d. Calculate the smallest common multiple of 4 and r.
24
Let a = -27 - -39. Suppose -5*v = -2*t - 41, 4*v - 55 = 5