 and s.
90
Suppose 0 = z - 3*m - 73, 8*z + 3*m = 3*z + 419. Suppose -3*s + 5*a = 7*a, 5*a = -s. Suppose 5*p - 25*p + 60 = s. What is the lowest common multiple of z and p?
246
Suppose 4*n = -4*i - 8656, -2152 = 8*n - 7*n - 5*i. Find the common denominator of (n/345)/((-6)/(-5)) and -5/37.
333
Let h = 1/3131 + -103358/109585. What is the common denominator of h and 63/100?
700
Suppose 0 = -3*f + 7*f + 3804. Let o be 11/(-9) + 1 - f/27. Calculate the common denominator of 20/o - (265/(-14) - -3) and 13/2.
2
Let h = 2101 - 12521/6. What is the common denominator of 201/972 - ((-1)/4 + 0) and h?
162
Let d = 7813 + -500095/64. What is the common denominator of d and 91/568?
4544
What is the common denominator of 92/(-120)*(-16)/(-6) and (-19 - (-740)/40) + ((-290)/(-252))/(-5)?
315
Suppose -3*y + 0*y + 5*x + 130 = 0, 4*y - 2*x = 164. Suppose 92*n - 1047 = 3356 + 2957. What is the least common multiple of n and y?
80
Let h(c) = c**2 - 3 + 1 + 0 + c + 2*c**2. Suppose -5*k + 60 = j, 13 = 3*k + 4*j - 8*j. Calculate the least common multiple of h(2) and k.
132
Let r be -5 + (-42)/(-8) + (-2)/8. Let n(h) = 16 + 2*h - h - 7 + r*h. What is the smallest common multiple of 6 and n(9)?
18
Let s = -16634 - -366031/22. Suppose 220 = 5*d + 3*n - 241, 0 = 5*n + 15. Calculate the common denominator of s and 1/8*d/(-4).
176
Let z = 57 - 64. Let t = z - -15. What is the lowest common multiple of t and (-368)/(-20) - 2/5?
72
Suppose 118*i = 131*i - 5850. What is the smallest common multiple of i and 50?
450
Suppose 0 = u - 5*z + 11, u - 4*u + 4*z = 0. What is the common denominator of -19/45 and u/22 + (-5)/(8250/(-228))?
225
Let z = -1/90967 + 10643219/7277360. Calculate the common denominator of z and -87/776.
7760
Calculate the common denominator of ((-3)/(-15) - 62/340)/((-240)/2350) and 3/748.
2992
Let o(b) = 3*b**3 + 3*b**2 - 1. Suppose 17820 = -10*p + 18170. What is the least common multiple of o(2) and p?
35
Let r = 1544 - 1448. Calculate the lowest common multiple of 28 and r.
672
Let k(d) = 6*d + 22. Let u = -119 + 105. Let g be k(u). Find the common denominator of (3*g/4)/(-5) and 83/12.
60
Suppose -154*r + 155*r = 6, -4*k = 2*r - 108. What is the least common multiple of k and 123?
984
Let a(v) = v + 5. Let n(d) = d**2 + 207*d - 1848. What is the lowest common multiple of a(5) and n(-216)?
480
Find the common denominator of 13/10 + (-746)/(-746) and -79/31446.
157230
Suppose 5*z + 2*b = 4095, -545*b + 549*b - 2457 = -3*z. What is the lowest common multiple of z and 91?
819
Let t(r) = -4*r. Let h be t(-1). Calculate the common denominator of h/(-30)*(-70)/8 and ((-9)/12)/1*561/198.
24
Calculate the lowest common multiple of 2 and (-301)/(-21)*(-180)/(-2).
1290
Suppose 3*h - 7*h = -0*h. Suppose h = -2*p + 4, -3*y = -0*p + 4*p + 316. Calculate the smallest common multiple of 33 and (y/24)/((-1)/2).
99
Let a(m) = -m**2 - 14*m - 29. Suppose -2*o + 41 = 1. Calculate the least common multiple of a(-3) and o.
20
Suppose 4*y - 20 = 84. Let v be (-8)/(-12) - (-152)/6. Suppose 5*x - v = 9. What is the lowest common multiple of y and x?
182
Let l = 4 - 2. Suppose -2*s + l*h - 2695 = -3*h, 1350 = -s + 3*h. Let n = s - -24041/18. Calculate the common denominator of n and -45/4.
36
Let t(b) = b**2 - 4*b + 7. Let q(s) = -15*s - s**2 + 31 - 4*s - 15. What is the least common multiple of q(-19) and t(5)?
48
Let x = 21 + 34. Let f = -36 + x. Let s = 41 - f. Calculate the smallest common multiple of s and 36.
396
Let b be ((-4)/(16/30))/((-1)/(-2)). Let o be b/110*(-39926)/(-1110). Let x = o - -2/407. Calculate the common denominator of -83/4 and x.
20
Let l(w) = -w + 9. Let v(t) = t - 8. Let i(k) = 7*l(k) + 6*v(k). Calculate the least common multiple of i(9) and (20 - (-414)/(-18))*44/(-3).
132
Let c(o) = o**3 - 15*o**2 - 65*o - 3. What is the lowest common multiple of c(21) and 426?
1278
Suppose 28 + 35 = -9*a. What is the least common multiple of (a/2)/(-7)*(5 + 79) and 48?
336
Let w = -2517/7 - -703/2. Calculate the common denominator of w and (57/(-126) - -1) + 0.
42
Suppose 4*o - 34 = -6. Suppose -18*f + 11*f = -o. Calculate the lowest common multiple of 12 and (-3 - f*-12) + 4 + -1.
12
What is the common denominator of -62/147 and 168/(-90) - (-16)/(-24)*-12?
735
Let l(z) be the first derivative of 15*z**2/2 - 33*z - 56. What is the smallest common multiple of l(3) and 38?
228
Let o(x) = x**3 - 24*x**2 - 80*x - 25. Calculate the smallest common multiple of 990 and o(27).
990
Let c(g) = g**2 - 4*g + 14. Let m be c(10). Suppose 5*z = 5, 0*z + m = -3*v + 2*z. Let i = 29 + v. What is the lowest common multiple of i and 4?
20
Suppose 0 = -64*f - 608 + 16352. What is the least common multiple of 48 and f?
1968
What is the common denominator of -219*76/190*10/(-48) and 99/1828?
1828
Let k = -1131/25 - 2484/25. Let v = 144 + k. Let u = -1/10 - v. What is the common denominator of -63/10 and u?
10
Suppose -87*p + 21*p + 20064 = 0. Calculate the smallest common multiple of 532 and p.
2128
Let u = -123 - -79. Find the common denominator of 141/u + (-3)/4 and (-354)/(-8)*16/264.
22
Let b = -21649 + 33258. Find the common denominator of (-23)/(-3) - 2 - (7 + -8) and (-2)/(-9) - b/684.
12
Let b = 465239 + -4692553/10. Let x(v) = 23*v**2 - 9*v + 21. Let q be x(-13). Let g = b + q. Calculate the common denominator of g and 53/18.
90
Let p = -3476309/50 + 69527. What is the common denominator of p and ((-1)/(5/(-119)))/(-6)?
150
Let c = 106/943 - 505525/4505654. Let x = -1434591/16723 - c. Let z = x + 183/2. What is the common denominator of z and 77/10?
70
Find the common denominator of (((-36)/15)/3)/((-2706)/205) and 67/1050.
11550
Calculate the common denominator of 1/180 and ((-6)/540)/(28*(-2)/282).
2520
Find the common denominator of -4 + (7/(-2) - 7) + -1 and 83/158.
158
Let t(h) = 2*h**2 - 5*h - 22. Let i be t(5). Suppose i = 3*a, 33 = 3*q + q + 5*a. Let b = -27 - -40. What is the smallest common multiple of b and q?
91
Suppose -21 = 4*b + 5*v, -3*v - 10 = -b + 6. Let g be (12/(-10))/(b*(-4)/60). Suppose 4 = g*h - 16*h. What is the lowest common multiple of 20 and h?
20
Let r = -420077/88755 - 2/5917. What is the common denominator of (-18)/(-10)*(3 - 0) and r?
15
Let m be (2 - 1)/(-1) - -6. Suppose m*y - 6*y = -4. Suppose 0 = -11*d + y*d + 210. What is the least common multiple of 3 and d?
30
Suppose 3*u + 1 = 5*w - 4, -5*w + 35 = 3*u. Let h be 6/(-30)*u*7251/12. Let o = h + 591. What is the common denominator of -103/160 and o?
160
Let x = -349499 - -408913939/1170. Find the common denominator of -3/8 and x.
4680
Let m(l) = 7*l + 41. Let w be m(-6). Calculate the least common multiple of 20 and 0/((-30)/10) + (67 - w).
340
What is the common denominator of -149/3054 and ((-8)/(-896)*16)/(-1)?
21378
Suppose 0 = -4*x - 0*x + 200. Let r be (-1 + 4)/((-86)/(-1462)). Let o = r - x. Calculate the smallest common multiple of o and 29.
29
Suppose 5*n - 850 = -3*v, -5*v + 13*n + 1310 = 8*n. What is the smallest common multiple of 27 and v?
270
Suppose -y - 38 = 5*p - 0*p, 50 = -5*p + 5*y. Let i(q) = q**3 + 9*q**2 + 6*q - 12. What is the least common multiple of i(p) and 7?
28
What is the common denominator of (-49)/18*-1*(-9462)/2324 and -93/464?
1392
Let v(p) = -p**3 - 23*p**2 - 4*p - 44. Let m be v(-23). Suppose 0 = f - 2*l - 8, 4*f + 4*l - m = 2*f. What is the least common multiple of 2 and f?
16
Let r = 1/61335 - -107131/49068. Calculate the common denominator of 93/650 and r.
3900
Let v = 4986 - 3524. Let m(h) = -h**2 - 4*h + 28. Let s be m(-7). Find the common denominator of (-1)/s + v/140 and 3/2.
10
Let b(m) = m - 13509 + 13497 - 22*m + m**3 + 6*m**2. Calculate the lowest common multiple of 92 and b(-8).
644
Suppose -5*h + 3*k - k = -4093, -h + 820 = k. Calculate the common denominator of ((-2)/(-24))/(168/h) and -133/36.
288
Let t(n) = 31 + 55 + 5*n + 12*n + 32. What is the lowest common multiple of 4 and t(4)?
372
Let f(a) = -a - 5. Let o be f(-8). Suppose 72 = 8*l + 4*l. What is the lowest common multiple of (-1)/(o/(-33) + 0) and l?
66
What is the smallest common multiple of 1290 and (4 - 0)/(-8)*-14 + (-1692)/(-4)?
1290
Let o be (72/(-5))/(20/150). Let h = o + 99. What is the common denominator of -8/11 and (262/(-36) - -5) + (-2)/h?
198
Suppose -3*s - 550 = -5*j +