Let v = -17830/3043 - -38/179. Let j = v + -653/68. Calculate the common denominator of 74/3 and j.
12
Let j(a) = 8*a + 2. Suppose g - 7 = 2. What is the lowest common multiple of j(g) and 22?
814
Let b be (21/(-2))/((-2)/4). What is the common denominator of 6/b - (-397)/56 and (0 - -1) + 226/24?
24
Let t(y) = y - 7. Let h be t(4). Let m = 37 + h. Calculate the smallest common multiple of m and 12.
204
Suppose 4*v = 2*d - 46, -16 = -4*d + 5*v + 70. Calculate the common denominator of 263/44 + -23 + d and -49/16.
176
Let o be (-10)/(-15) + (-2814)/(-27). Let a = -6800/63 + o. Find the common denominator of a and -1 - (-106)/(-8) - -1.
84
Suppose -3*n + 1 = -5, -2*o + 4*n = -302. Suppose t - 53 = -2*g, -5*g + 0*g + o = -5*t. Calculate the lowest common multiple of g and 12.
84
Calculate the common denominator of -143/18 and -8 + (-1 - 58708/(-6568)).
14778
Suppose -4*f + 18 = -y - 2*y, -5*f = -y - 17. Suppose -3*u + 6 = n - 5*u, 4*n + u = 15. What is the lowest common multiple of n and f?
12
Let g = 31 + -21. Suppose 0 = -5*n + 5*f + 475, -15*n - 5*f - 111 = -16*n. Calculate the lowest common multiple of n and g.
910
Suppose 235*y = 227*y + 896. Calculate the smallest common multiple of y and 14.
112
Let l(g) = 25*g**2 + 43*g - 24. Calculate the lowest common multiple of 16 and l(4).
2192
Suppose 658*x = 679*x - 609. Calculate the least common multiple of x and 474/42 + (-2)/7.
319
Find the common denominator of (15/270)/((-2)/137) and -79/24.
72
Let w(d) = 2*d. Let v be w(2). Suppose -v*l + 1241 = -m, -329 = -l + m - 18. Find the common denominator of l/(-24)*(-6)/(-30) and -113/10.
60
Let f be (-1)/(-45)*(-5845)/(-2). Let a = -229/9 + f. Let h = -4235 + 38162/9. Find the common denominator of h and a.
18
Suppose 12 = -r + 298. Suppose 2*w - r = -9*w. What is the smallest common multiple of w and 12?
156
Let r = 281327 - 7313515/26. Let w = r - 9105/208. Calculate the common denominator of 1/78 and w.
624
Let b = -43792 + 5298883/121. What is the common denominator of 34/33 and b?
363
Let u(o) = o**2 - o + 2. Calculate the smallest common multiple of 4 - (-6 - (-7 - 1)) and u(3).
8
What is the smallest common multiple of 11 and 1 + 12 + (10 + 0 - 6)?
187
Let d = 19809/71878 - -45/433. Calculate the common denominator of d and -85/12.
996
Let t = 22/1521 + -655705/10647. Let o = t - -464/7. What is the common denominator of 17/8 and o?
56
Let l(i) = -125*i**2 + i + 5. Let w be l(-2). Find the common denominator of -111/20 and -1 + (2/8 - w/(-140)).
20
Suppose -2*b = 5*b - 924. What is the smallest common multiple of b and 72?
792
Suppose -4*i - 1095 + 51 = 0. What is the common denominator of -53/26 and i/18*2/4?
52
Suppose 4*m = t + 6*m - 86, -4*m - 8 = 0. Calculate the least common multiple of t and 100.
900
Let b be 0 + (-3)/(0 + -3). Suppose -4*p + 11 + b = 0. Suppose l - 4 = -3*z + 4*z, p*l - 12 = -2*z. What is the lowest common multiple of l and 9?
36
Let c = 121733 - 91056297/748. Calculate the common denominator of c and 83/4.
748
Let x = 6389729 - 747609767/117. Let m = x + 1220/13. What is the common denominator of m and -76/3?
9
Let p = -118211/90 + 11771/9. What is the common denominator of 58/123 and p?
1230
What is the common denominator of 101/12 and 1/(-196)*(-2 + (-352)/(-3))?
588
Let d = 6 + -2. Suppose -d = -4*c + 5*h - 51, 3*c - 2*h + 44 = 0. What is the lowest common multiple of (1/(-3))/(1/c) and 6?
6
Let f = 2260 + -2172. What is the least common multiple of f and 22?
88
Calculate the smallest common multiple of 102 and 4*369/36 - 5.
612
Suppose 4 - 8 = -b. Suppose -3*t = b*i - 19, -4*i = -4*t - 3*i + 19. Suppose -t*j = -7*j + 6. What is the lowest common multiple of j and 8?
24
Calculate the common denominator of -15/88 and ((-5)/(-175)*7)/(128/710).
704
Suppose -2*a = -3*q + 108, -q + 23 + 13 = 3*a. Calculate the smallest common multiple of 18 and q.
36
Let g = -15 - -32. Let n(p) be the second derivative of -p**5/20 + 3*p**4/2 - 8*p**3/3 - 11*p**2/2 + 57*p. What is the least common multiple of n(g) and 10?
30
Let o be 14542/1064 - (-2)/(-8). Let d = -195/38 + o. Let t = 3167/2547 + -6/283. What is the common denominator of t and d?
63
What is the common denominator of -77/40 and 846/(-126) - (-1)/(4 + -3)?
280
Let z = -50/3 + 265/6. Let d = 181/4 - 2185/52. What is the common denominator of z and d?
26
Suppose 3*s - 9 = -249. Find the common denominator of 41/40 and (-64)/s + 154/(-30).
120
Let q = 3190 - 3181. Calculate the smallest common multiple of q and (-37)/(-4) - 1/4.
9
Find the common denominator of -55/14 and (-7 - -3 - 986/504) + 6.
252
Let d(o) = -o**3 + 5*o**2 + 3*o - 5. Suppose -4*r - 280 = -4*h, 6 = 3*h + 21. Let f = -59 - r. What is the smallest common multiple of d(5) and f?
80
Let r(p) = -p - 19. Let z(q) = -2*q - 28. Let i = 7 - 2. Let g(j) = i*z(j) - 7*r(j). What is the smallest common multiple of g(-6) and 5?
55
Let u(r) = -r**3 - 2*r**2 - 5*r - 4. Let x = 613 - 598. What is the least common multiple of u(-3) and x?
60
Suppose 4*n = -83 - 145. Let x = n - -58. Calculate the least common multiple of 7 and x.
7
Suppose -4*u - 6*c + 38 = -c, 20 = 2*u + 3*c. Let k = -942/11 - -13771/154. Find the common denominator of k and 114/u*3/(-12).
14
Suppose 4*p - 132 = 4*t, 2*p - 11*t + 13*t - 78 = 0. Calculate the lowest common multiple of 8 and p.
72
Let d = -12831610064455/44 - -6540046704424009179/22426030. Let o = 63/203873 + d. Let v = 17485 + o. Calculate the common denominator of v and -101/14.
140
Find the common denominator of 53/3 and (1240/15)/(-4) + -2.
3
Let a be (3*-2)/(12/(-8)). Let v(q) = q**2. Suppose 0*r - 46 = -3*n + 2*r, 5*n - 2*r - 74 = 0. Calculate the smallest common multiple of v(a) and n.
112
Suppose -2*l + 9 = l. Suppose 3*m = -3, -2*n - l*m = 2*n - 25. What is the lowest common multiple of n and 14?
14
Find the common denominator of ((-24)/252)/(13/((-819)/(-14))) and 195/6*4/(-5).
7
Let k = -7 - -9. Suppose 5*j - 8 = 2*s + 102, -k*s + 66 = 3*j. Let n = -11 - -23. What is the smallest common multiple of j and n?
132
Suppose 0 = -44*a + 12*a + 1024. What is the lowest common multiple of a and 12?
96
Let v = 405 - 384. Let w(g) = -g**2 + 6*g + 10. Calculate the smallest common multiple of w(5) and v.
105
Let a(l) = -4*l**3 + 60*l**2 + 5*l - 33. What is the least common multiple of 60 and a(15)?
420
Let k be (-4)/(-2) - (-2 + (3 - 4)). Suppose 0 = -s + k*s - 8. Calculate the common denominator of s and 29/11.
11
Suppose 7*k - 14*k + 28 = 0. What is the common denominator of (-1 - (-155)/(-3))/(k*-2) and -107/24?
24
Let i = -276 - -413. Calculate the smallest common multiple of i and 3.
411
Let j = -2/2609 + -200869/31308. Find the common denominator of -51/107 and j.
1284
Let q(r) = r**2 - 6*r - 7. Let m be q(10). Suppose 5*j + 107 = -m. What is the common denominator of j and 35?
1
Let a be -3 + -2 + -5 + (-4)/2. Let b = 11 - 5. Calculate the smallest common multiple of b and -12*1*4/a.
12
Let l = -32/26858365 - 589460465231/59947870680. Let x = l + -1/2232. Calculate the common denominator of x and 113/18.
18
Calculate the common denominator of (-4)/(-3) - (6924/(-672) + 12) and 23/21.
168
Let u = -3093/2 - -173241/112. What is the common denominator of u and 33/70?
560
Let p(m) = m**3 - 17*m**2 - 2*m - 58. What is the least common multiple of p(18) and 23?
230
Let w = -4424/19 + 82463/342. What is the common denominator of 89/654 and w?
1962
Let d = 70 - 86. Let y(s) = -s**3 - 16*s**2 - 3*s - 20. What is the least common multiple of 12 and y(d)?
84
Let q = 952 + 140. What is the lowest common multiple of 15 and q?
5460
Let x = -1933547712344704/32949 - -58683046896. Let m = 2/10983 - x. What is the common denominator of m and 23/6?
18
Suppose -2*i = 3*h + i - 21, -h = 4*i - 16. Suppose 8 = h*d - 4*k, 0*k - 3*k + 8 = 4*d. What is the lowest common multiple of d*(7 + 2 - 4) and 20?
20
Let l = -484/3 - -160. Calculate the common denominator of ((589/30)/(-31))/(8/(-10)) and l.
24
Let b(t) = -4*t - 5. Let n be b(-2). Find the common denominator of 43/7 and 18/20*1/n.
70
Let r = -3/1356985 + -72016550902/14926835. Let g = r - -4828. Let w = -39524/11 - -3588. What is the common denominator of w and g?
11
Suppose 4*n - 5*n + 144 = 5*o, -5*n + 160 = 5*o. Let w = -16 + o. Calculate the