 z(k) = -k + 8. Let s = -14 - -2. Calculate the lowest common multiple of (33/2)/((-9)/s) and z(4).
44
Suppose f + 12 = -3*f, -4*f + 108 = -5*u. Calculate the common denominator of 77/u*(-1 - 3) and 69/10.
30
Let j be (138/360)/((-542)/8252). Let v = -4/1355 - j. What is the common denominator of 31/18 and v?
18
Suppose -15*q + 87 = 14*q. Suppose 3*u = 3 + 12. Calculate the least common multiple of q and u.
15
Let j = 16373 + -24066. Let f = j + 92233/12. Find the common denominator of (-41)/12*6/(-9) and f.
36
Suppose -q = -4*f + 52, -f + 0*f - 4*q = 4. Calculate the least common multiple of f and 22.
132
Let l = 344/11 + -15964/495. Calculate the common denominator of -137/30 and l.
90
Suppose -17 = -2*f + 5*s, -3*f = f - 4*s - 28. Let j be (-4)/(-76)*(-4)/f. Let u = -254/19 - j. Find the common denominator of u and -32.
3
Let z = -18829/10 - -1875. Find the common denominator of -121/48 and z.
240
Let l = 3 - 33. What is the common denominator of ((-3)/(-20))/((-36)/30) and 999/l*(-1)/3?
40
Let z = 1590 + -6451/4. Suppose -h + 6 = 3, 4*q - 351 = 3*h. Find the common denominator of 2/2 + q/4 and z.
4
Calculate the lowest common multiple of (198/72)/((-2)/(-8)) and 3.
33
What is the common denominator of (-422)/24 + (-6)/9 and (-3)/(-3)*-4 - (-549)/(-18)?
4
Let a = 0 - -2. Suppose -5*r - 2 = 4*f, 0 = 3*f + 4*r - 0 + a. Suppose -5*h + h + 12 = 0. What is the lowest common multiple of f and h?
6
Let c = -16803/4 - -35665/8. Let h = c + -257. Find the common denominator of 79/4 and h.
8
Let p be (-5182)/(-60)*6/(-58). Let j = p - 53/145. Calculate the common denominator of j and 85/8.
40
Let a = -2555/366 - -70/61. Calculate the common denominator of -35/6 and a.
6
Let p(i) = i**2 + i. Let t be p(-2). Suppose -t*l = -4 - 4. Suppose r - l = -r. What is the smallest common multiple of r and 2?
2
Let l(s) = s**2 - 4*s - 70. Calculate the least common multiple of l(11) and 10.
70
Suppose 16 = 7*m - 3*m. Let r = m + 0. Calculate the common denominator of 89/14 and (2/(-48))/(r/330).
112
Let c be (7/(-14))/((-1)/20). Calculate the common denominator of 67/8 and 0 - (49/c - 1).
40
Suppose 5*j - 104 = -g, 5*j - 3*g = -8*g + 100. What is the common denominator of (1 - 0)*j/(-6) and -34?
2
Let k be (-3)/(-2)*(-32)/(-12). Suppose -k*w + 91 = 3. What is the smallest common multiple of 22 and w?
22
Let o(f) = f**2 - 5. Let d be o(-5). Let w be 68/10 - (-4)/d. Suppose i - w = -0*i. What is the lowest common multiple of i and 9?
63
Let o(z) = -z**3 + 16*z**2 + 19*z + 12. Let a be o(17). Let p = -95/2 + a. Find the common denominator of p and 81/16.
16
Let f(y) = -2*y - 3. Calculate the smallest common multiple of f(-6) and 2.
18
Let m = 2514 + -25041/10. Let d = -1771/2 - -6987/8. Calculate the common denominator of m and d.
40
Let d(v) = -v - 231. Let q be d(0). Let i = q + 1162/5. Calculate the common denominator of i and -7/9.
45
Let w be (-1 - -3)/(8/60). Suppose 0 = 4*y - 2*q + 6, y + 4*q + 18 = -y. Let i = w + y. Calculate the smallest common multiple of 20 and i.
60
Let j = 5326/3 + -1792. Find the common denominator of j and 93/4.
12
Suppose -9 = -2*n + 19. Calculate the smallest common multiple of n and 12.
84
Let k(u) = -u**3 - 9*u**2 - 9*u - 2. Let i(r) = r**3 + 3*r**2. Let p be i(-2). What is the lowest common multiple of (2 - 6/4)*p and k(-8)?
6
Suppose g + 3*k - 65 = 0, -2*g + k = g - 145. What is the common denominator of 17/3 and g?
3
Let p = -582 + 5847/10. What is the common denominator of -68/9 and p?
90
Let k(u) = u**3 - u**2 - 4*u + 4. Let c be k(3). What is the least common multiple of 4 and 1 + (0 - 3) + c?
8
Let l(z) = 2*z**2 + 52*z - 47. Suppose 4*o - 3*w - 35 = 0, -2*o - 3*w - 5 = -0*w. Calculate the lowest common multiple of l(-27) and o.
35
Let a = -675 - -2757/4. Suppose 4*j + 54 + 162 = -4*p, 5*j - 5*p + 260 = 0. What is the common denominator of 1 + j/4 + -1 and a?
4
Suppose -q - k + 19 = -2*q, 91 = -5*q + 4*k. What is the common denominator of q/(-2)*190/210 and 31/12?
84
Suppose -2*t + 20 = -t. Suppose 4*g = -4*j + 16, 5*j = -3*g + 4 - 0. What is the least common multiple of g and t?
40
Let x = 16740 + -301459/18. What is the common denominator of -53/74 and x?
666
Let w(g) = 2*g**2 + 6*g + 1. Suppose 3*q = -2 - 7. Let t be (12/(-9))/((-1)/q). Calculate the lowest common multiple of 1 and w(t).
9
Suppose 6*o = 2*o + 5*p - 13, 2*p = 10. Suppose b + 4*w = -3 + 1, b - o*w = 19. Find the common denominator of (-5)/b + 4/3 and -95/14.
42
Let d = -1/97 - 2703/1261. Find the common denominator of d and 19/6.
78
Let h = -83753/10312 - 4/1289. Find the common denominator of h and 4/(-6) - (-127)/6.
8
Calculate the smallest common multiple of 7 and (65/(-15))/(1/(-6)).
182
Let u = -408175823/7 + 57951897. Let i = u - -357263. Let p = 1675 + i. Calculate the common denominator of p and 41/11.
77
Suppose -7*q = -2*q + 705. Let z = 201 + -1436/7. Find the common denominator of z and q/15 + (-2)/(-2).
35
Let r be ((-12)/(-15))/((-3)/(-15)). Suppose 3*j - l - 27 = -0*l, -r*j = 4*l - 52. What is the least common multiple of j and 10?
10
Let z = 18 - 8. Let m = z - -8. Calculate the least common multiple of (18/(-5))/((-1)/5) and m.
18
Let j = -24/407 - -23822/3663. Let w = -6953349/28 - -248362. Let l = w + -76/7. What is the common denominator of l and j?
36
Let h be 45/(-4) - 2/(-8). Suppose -t + 5*l - 55 = 3*t, -t - 10 = -5*l. Let d = h - t. Calculate the smallest common multiple of 1 and d.
4
Let c = 1/4905 + 148783/9810. Calculate the common denominator of -75/4 and c.
12
Suppose 5*f - a = -0*a + 15, 5*f = -2*a. Suppose n = -0*n + p, 0 = 4*n + 5*p - 36. Let k = n - 2. What is the smallest common multiple of k and f?
2
Suppose 0 = -3*o - 0*o + 18. Let a = 3 + -6. Let l = 4 + a. Calculate the lowest common multiple of o and l.
6
Let u = -13 + 18. Calculate the least common multiple of u and 9.
45
Suppose -2*w - 27 = w + 3*u, -2*u - 60 = 5*w. What is the common denominator of w and -67/2?
2
Let p = 242 + -4357/18. Calculate the common denominator of -77/10 and p.
90
Suppose -2 = -6*a + 4*a. Let u(q) = -q**2 + 11*q - 18. Let p be u(9). Find the common denominator of 55/12 and (p - a)/((-4)/194).
12
Let j = 1/816 + -715/816. Find the common denominator of j and -53/60.
120
Calculate the common denominator of -11/50 and (2*(-356)/200)/(-2).
50
Let t be 0 + 1497/9 + -1. Let c = t - 1465/9. What is the common denominator of 29/5 and c?
45
Suppose 0 = 5*v - 5, 0*u - 4*u - 4*v + 60 = 0. What is the smallest common multiple of u and 4?
28
Let d(y) be the third derivative of -y**4/6 - 2*y**3/3 - 4*y**2. Suppose -2*r - 2 = x - 5, 4*x - 3*r + 21 = 0. What is the least common multiple of 14 and d(x)?
56
Let h = -611/2 + 353. Find the common denominator of -1*(-10)/28 + -2 and h.
14
Let a(q) = -13*q**3 - 2*q**2 + 1. Let i be a(1). Let y = 6 - i. Calculate the least common multiple of 10 and y.
20
Suppose 3*h - 2*h = 1134. Calculate the common denominator of 1 + (h/20)/7 and 145/6.
30
Suppose 0 = -3*h - 3*y - 102, -3*y = -3*h - 2 - 94. Calculate the common denominator of h and -9/8.
8
Suppose 5*u = 5*x - 35, 2*x - 6 = u + 10. Calculate the least common multiple of 28 and x.
252
Let m = 5/204 + 9481/204. What is the common denominator of -71/8 and m?
8
Let x = 54011/20426 - 2/1459. What is the common denominator of 49/16 and x?
112
Let z be 2/(-2)*(21 + 0). Calculate the common denominator of 4*-1*z/108 and 2/(-6)*78/(-14).
63
Let p = -5231/4 + 1318. What is the common denominator of p and -71/4?
4
Let a(w) = -w + 2. Suppose 0 = 2*h - 0*h + 14. What is the lowest common multiple of a(h) and (6/(-9))/((-6)/81)?
9
Let b = -4876/1463 - 20/209. Let i = -6758 - -53989/8. Find the common denominator of b and i.
56
Let w(k) = k**2 + 2*k + 1. Let j be w(-3). Suppose 0*l - j = l. Find the common denominator of l/14 - (-298)/63 and -32/11.
99
Suppose -2*q + 0*q + 14 = 2*o, 5*o = 4*q - 10. Suppose -8*h - o = -9*h. Calculate the smallest common multiple of 7 and h.
14
Let o(n) = n**3 + 5*n**2 - n + 8. Let a be o(-6). Let m = a - -54. Suppose 5*f = f + m. Calculate the smallest common multiple of 18 and f.
72
Suppose 4*g = 5*g - 90. What is the common denominator of 36 and ((-66)/g)/(4/(-70))?
6
Let z(j) = -j**2 + 8*j - 7. Let i be z(6). Let b be (1/(-2))/(i/(-50)