9*w. Let t = 1/3 + w. Find the common denominator of t and 85/18.
18
Let j(o) = -o**3 + 9*o**2 + 8*o + 1. Let v be j(7). Suppose 6*w = w + v. Find the common denominator of (0 - w)/(13 - 3) and 17/7.
70
Let k be (-22220)/(-11) - (0 + -2). Find the common denominator of 35/3 and k/180 + 1/6.
15
Let s = -524 - -1502/3. Let k = s + 209/6. Calculate the common denominator of k and 14 + (2/(-3))/1.
6
Let i = 4 + 2. Let o = 8 - i. Calculate the lowest common multiple of 2*(-2)/4 - (-1 + (3 - 7)) and o.
4
Suppose -4*o + 66 = -2*k, 0 = -3*o + 2*k + 31 + 20. Suppose -15*x + 10*x = -o. Calculate the smallest common multiple of x and 4.
12
Suppose 4*a - 27 = -2*u - 3, -2*a - 48 = -4*u. Let j = -13 - -24. What is the lowest common multiple of -2 + 2 - (-4)/(u/57) and j?
209
Suppose 138 + 126 = 6*p. Calculate the smallest common multiple of 99 and p.
396
What is the least common multiple of 258/8 + (-15)/(-20) and 15?
165
Suppose 2*b - 19 = -v + 4, -2*v = -b + 4. Calculate the smallest common multiple of b and 30.
30
Suppose -269 = -6*u + 241. What is the smallest common multiple of u and 119?
595
Let z(y) = y**3 - 3*y**2 + 3*y + 3. Suppose 29 + 7 = 3*l. Calculate the least common multiple of z(3) and (-11)/(-11)*(l + -1)*2.
132
Let p be 7337/9 + 22/(-99). Calculate the common denominator of (p/(-2550) - 1) + 6/45 and 63/22.
1122
Suppose 7*a = 4*g + 12*a, 4*g + 3*a - 8 = 0. Let h(f) = -f**2 - 11*f - 9. Calculate the lowest common multiple of h(-8) and g.
15
Let u = -1370 - -16357/12. Find the common denominator of 2266/99*(-6)/8 and u.
12
Suppose 0 = -46*h + 609 + 127. What is the lowest common multiple of 68 and h?
272
Suppose 88 = 4*n + 5*a, 66 = n + 2*n - 4*a. Suppose -4*w - 12 + 100 = 0. What is the lowest common multiple of w and n?
22
Suppose 4*c - 19 = 1. Let v = 3 + c. What is the smallest common multiple of v and (1 - 0)/((-17)/(-34))?
8
Let l = 291/248 - 2581591/5208. Let b = l + 498. What is the common denominator of -3/4 and b?
84
Let n = -846 + 27935/33. Find the common denominator of -10/27 and n.
297
Suppose -2*y + v - 4*v = 10, -v = 3*y + 15. Calculate the smallest common multiple of ((-154)/55)/(1/y) and (-1 + -5)*2/(-6).
14
Suppose 0 = -6*t + 3*t + 36. Let r(d) = 3*d**2 - 10*d - 6. Let x be r(8). Suppose 0 = 5*m + 6 - x. Calculate the lowest common multiple of m and t.
60
Let o be -5 - (-24)/4 - -2. Let h = 12 + o. What is the lowest common multiple of h and 12?
60
What is the common denominator of ((-8502)/(-156))/(0 - 1*9) and 14/99?
198
Let r(s) = -20*s - 135. Calculate the smallest common multiple of 50 and r(-11).
850
Let s = -3163241/554136 - -2/23089. What is the common denominator of s and -85/12?
24
Suppose 5*x = -a + 1, 4*x + 3 = 3*a - 0. Let g be 1 + 7 - (x - -1). Let s(k) = k**3 - 7*k**2 + 8. What is the smallest common multiple of s(g) and 16?
16
Suppose -q = 3*a - 108, 0 = 2*a + q - 60 - 12. What is the smallest common multiple of a and 21?
252
Suppose 269 = 6*y + 53. What is the least common multiple of 60 and y?
180
Suppose 0 = -2*u + 3518 + 4844. Let l = u + -33391/8. Let k = 84817/10 - 8473. Calculate the common denominator of k and l.
40
Let a be (-2 + 111/6)/45. Let y = -308/15 + a. Calculate the common denominator of y and (4/16 + 6)/(-4).
48
Let r be 0 - (8/(-2) - -2). Suppose r*u = 13 - 3. Suppose 0 = -u*n - 5*w - 10, 2*w - 5*w = 5*n + 2. Calculate the least common multiple of 9 and n.
18
Let d = 914 + -874. Calculate the least common multiple of 22 and d.
440
Suppose -17 = -7*t + 6*t. Suppose 0 = -z + t - 2. What is the lowest common multiple of z and 2?
30
Suppose 28*c + 105 = 49*c. Suppose 6 = 3*q - 6. Calculate the least common multiple of q and c.
20
Let m be (-935182)/(-3780) - 6/15. Let a = m + -247. Let x = a + 349/756. What is the common denominator of 49/6 and x?
84
Calculate the common denominator of -32/5 and (-228)/171 - ((-5260)/1023)/4.
5115
Suppose -60*r - 1320 = -100*r. What is the lowest common multiple of 33 and r?
33
Let o = 169310 - 59597225/352. What is the common denominator of o and -71/24?
1056
Let r = 2976 + -998. Find the common denominator of 17/4 and r/(-396) - 20/(-90).
44
Suppose -4*b - 35 - 21 = -w, 0 = 5*b + 2*w + 57. Let y(a) = -a**3 - 14*a**2 - 16*a - 7. Calculate the lowest common multiple of y(b) and 6.
96
Let a = -162 - -169. What is the lowest common multiple of 16 and a?
112
Let t = -427 + 491. What is the least common multiple of t and 8?
64
Suppose 2*j + 308 = 3*v + j, 4*v - 2*j - 410 = 0. Calculate the lowest common multiple of 8 and v.
824
Let h = -26134/39 - -3312/13. Let z be 3/3 - (-17726)/42. Let t = z + h. What is the common denominator of t and -8/5?
35
Let h be ((68383/(-120))/(-7))/(10/(-30)). Let x = h - -1935/8. What is the common denominator of -73/16 and x?
80
Let w(o) be the second derivative of -o**4/12 - 4*o**3/3 - 3*o**2/2 - 14*o. Suppose 48 = 3*s + s. What is the least common multiple of w(-5) and s?
12
Suppose -10 + 2 = -4*g. Let a = -1868 - -1878. Calculate the least common multiple of a and g.
10
Find the common denominator of -61/6 and (5248/369)/((-6)/(-1)).
54
Suppose 2*i = 8, -3*i + 0*i + 68 = 4*g. Let y(t) = -t**3 + 7*t**2 + t + 3. What is the lowest common multiple of (-6)/7*g/(-4) and y(7)?
30
Let c = -85/774 + -12/43. Calculate the common denominator of (-2 + 9/4)*(-830)/(-15) and c.
18
Let h = -3/665 - 8107/1330. Find the common denominator of h and (-2)/(-8) - 66/9.
60
Calculate the common denominator of (-2)/(-33)*183/4 and ((-3)/5)/((-48)/(-630)).
88
Let p be 2/(-3)*(-63)/(-14). Let a(v) = -4*v + 3. Let g be a(p). Calculate the common denominator of (30/(-5))/(4/g) and -49/22.
22
Let d = 23 - 77. Let l = 70 + d. What is the lowest common multiple of l and 8?
16
Suppose -3*d = -6*n + n + 108, 4*n - d = 92. Let r(f) = 0*f + 3*f + 0*f - 2*f + 20. Calculate the lowest common multiple of n and r(0).
120
Suppose 13*l - 1751 = 966. Calculate the lowest common multiple of l and 38.
418
Suppose -5*v - w + 4*w = -6, v + 8 = -4*w. Suppose -q - 10 = 3*o - v*o, 0 = -o + 5*q + 18. Let i = 10 + o. Calculate the least common multiple of i and 5.
40
Suppose -3 = -3*i + 9. Let o be (15/(-2))/((-9)/(-6) - 2). Calculate the least common multiple of i and 24/o + -1 + (-81)/(-15).
12
Let h = 40 - 43. What is the common denominator of (156/32)/3*h and -29/2?
8
Let n be (4/2)/(((-13040)/135)/(-2)). Let j = 18123/11084 + n. What is the common denominator of j and 40/7?
238
Let c = 17 + -3. Let r = -97 + 149. Let v = -8 + r. Calculate the lowest common multiple of c and v.
308
Let f = 55869/8 + -6974. What is the common denominator of 200/35 - (-2)/(-7) and f?
56
Let n(w) = w**2 + 16*w - 60. Calculate the lowest common multiple of n(6) and 24.
72
Let z(c) = 19*c + 38. Calculate the least common multiple of 114 and z(9).
1254
Suppose 228 = 20*i - 17*i. Calculate the lowest common multiple of 133 and i.
532
Let p(v) = 3*v**2 + 20*v + 2. Let w(u) = -u**3 + 9*u**2 - u - 3. Let b be w(6). What is the lowest common multiple of p(-7) and 200/11 - 18/b?
18
Let m(a) = a**3 - 6*a**2 - 3*a - 8. Let w be m(7). What is the common denominator of 39/5 and (-238)/w + 0 - 0?
10
Let s = 851/110 + -62/11. Find the common denominator of s and 79/44.
220
Let j = -3445690831/30 + 114820401. Let r = -35966 - j. What is the common denominator of -47/6 and r?
30
Suppose -2*l = -2 - 0. Suppose -29 = -5*u + l. Suppose 0*n + f - 19 = -5*n, -2*n + 11 = -3*f. Calculate the lowest common multiple of u and n.
12
Calculate the common denominator of -43/18 and (11/(110/(-305)))/174.
1044
Let h = 2/4373 - 100603/52476. Find the common denominator of 34/7 and h.
84
Let g = -48 + 49. Calculate the least common multiple of 5 and (g + -2)/((-69)/33 + 2).
55
Let s = -685 + 30163/44. Find the common denominator of s and (-60)/30 - 33/32.
352
Suppose -4*c = j - 6*c - 1, -3*c = 3*j - 21. Suppose 31 = j*x - 49. Calculate the lowest common multiple of 10 and x.
80
Let x = 926 - 916. Calculate the smallest common multiple of 2 and x.
10
Let f be (-7)/(140/632) - 2. Let j = f + 46. What is the common denominator of j and (-41)/8 - 16/(-8)?
40
Calculate the common denominator of -20/21 and -2 - (-9 - (-852)/56).
42
Suppose 0 = -2*z + 2, 5 - 6 = -2*o - z. Suppose -x = 3*m - 23, 2*x + m - 2*m - 53 = o. Calculat