r of (-2)/(-7) - 3243/252 and (1 + 12/(-18))*21*(-30)/24.
12
Let w be -2 + ((-61025)/(-8695) - 5). Let h = w - -261629/52170. Calculate the common denominator of h and -115/12.
60
Let k(f) = 2*f**2 + 19*f - 15. Let x be k(-10). What is the lowest common multiple of 10 and 8 - (-3 - (x + 1))?
70
Suppose 2*k + 2*p + 60 = -2*p, 5*p = -5*k - 155. What is the common denominator of 99/4 and (-2)/k*-4*58/(-8)?
16
Let d = -27/437 + -52607/4370. Let p = 6085 - 1150049/189. Let s = p - 18871/1890. Find the common denominator of s and d.
10
Find the common denominator of -57/2956 and (-564)/90*(-2 - 58/(-32)).
29560
Suppose -116*x = -111*x - 1610. Let v = 334 - x. Calculate the smallest common multiple of v and 36.
36
Let w = -17/515 + -19337/22660. What is the common denominator of w and -2 + (2307/624 - 2)?
2288
Suppose -7142 = -2*l - w, 62*l + 5*w + 10700 = 65*l. What is the lowest common multiple of l and 490?
24990
Suppose 2*a = -33 + 45, 2*g - 5*a - 1194 = 0. Calculate the lowest common multiple of g and 340.
3060
Let l be 300082/37128 - (-1 - 1). Let r = l + 3/3094. Find the common denominator of r and (-186)/(-124)*(7/(-35))/(28/(-130)).
84
Let c(w) = 4*w**2 + 8*w - 32. Let z be c(5). Let b = z - 106. Suppose -4*n = -3*d + 290, -2*n - 2*n = b*d - 200. What is the lowest common multiple of d and 2?
98
Let k(c) = -5*c**2 - 12*c - 56. Let g(j) = 6*j**2 + 11*j + 57. Let t(q) = 4*g(q) + 5*k(q). Calculate the lowest common multiple of 68 and t(-6).
136
Let g = -18 + 36. Suppose 3*z - 918 = 4*d, -2*z + 1246 = 2*z + 2*d. Suppose -z = -7*x - 86. Calculate the least common multiple of x and g.
288
Suppose -7*m - 24349 = -1445. Let r = m + 13189/4. Let p = -63/130 - -291/260. Calculate the common denominator of p and r.
52
Let h = -58030 + 4990675/86. What is the common denominator of ((-11)/3)/((-20)/(-66)) and h?
430
Suppose -2*i + 10 = 0, -3*c - 28 = -5*c - 4*i. Suppose -2*n + 16 = 2*n, -c*n + 16 = 4*j. Let s = 2 + j. Calculate the smallest common multiple of 25 and s.
50
Let h = -2449 + 1469. Calculate the smallest common multiple of 147/15 - (-1)/5 and 4/(-10)*h/56.
70
Let v be (-2)/70*(-894770)/(-2328). Let b = v - -44/679. Let t = -23417/22 + 1068. Calculate the common denominator of t and b.
132
Suppose -39*a - 56 = -11*a. Find the common denominator of 19/22 and a + (-33)/(-15) - (-2599)/805.
154
Let x(u) = 16*u - 1. Let o(n) = 52*n**2 - 210*n + 18. Calculate the least common multiple of x(1) and o(4).
30
Calculate the common denominator of (-2)/48*33540/5200 and 19/10.
160
Suppose -2*g + 12 = -j, -2*g + 0*j + 20 = -3*j. Suppose 4*a - 13 = 2*c - a, -g*c = 3*a - 39. Find the common denominator of (111/336*1)/((-1)/c) and -19/8.
56
Let r = 34 + -34. Suppose r*y + 4410 = 5*y. Let b = y - 22054/25. Calculate the common denominator of b and 43/10.
50
Suppose -b + 29 = 101. Let k = 84 + b. Let o(l) = 3*l - 20. What is the smallest common multiple of o(k) and 42?
336
Calculate the common denominator of 46/45 and 43/3*((-576)/60 - -10).
45
Suppose 989 = -3*o + 3500. Calculate the least common multiple of o and 15.
4185
Suppose 0*l = -3*l + 438. Let j = l + -101. Let p = j - 29. What is the lowest common multiple of p and 3?
48
Find the common denominator of -3 + -8 + (-229701)/(-21114) and 47/102.
306
Let o be (-492)/(-9) - (-5)/15. Calculate the smallest common multiple of 12 and (o/(-15) + 12/3)*138.
276
Let q(j) = 4*j + 4. Suppose -2*c - 1378 = -w - 1413, -4*c + 4*w = -76. What is the smallest common multiple of q(6) and c?
112
Let b be (-6 + 20)*(-4)/(-14). Suppose -37 = -5*c + b*y, -2*c + 2*y = -2*y - 10. Find the common denominator of ((-13)/6)/((-33)/c) and 45/22.
22
What is the lowest common multiple of 19 + 5992/16 - 5/(-2) and 572?
5148
What is the smallest common multiple of 2198 and (1 - (-494)/78)/((-5)/(105/(-2)))?
24178
Suppose 3*a - 55 = -4*s + 229, s = -4*a + 383. Let f = 176 - a. Let o = 21 + -19. Calculate the lowest common multiple of o and f.
80
Let k = -990 + 13847/14. Calculate the common denominator of k and -45/1942.
13594
Suppose 3*t + 26 - 131 = 0. Let w = t - 41. What is the common denominator of (w/4)/((-18)/14) and 49/9?
18
Let x = 982 + -892. Calculate the least common multiple of (-6)/24 - 98/(-8) and x.
180
Suppose 22308*b = 22335*b - 270. Suppose -5*r = -r - 184. Calculate the lowest common multiple of r and b.
230
What is the smallest common multiple of 336/(-9)*(-156)/208 and 4571?
18284
Suppose 2*z + 73 + 58 = -3*g, 0 = 4*z - 5*g + 207. Find the common denominator of 97/4 and z/12 - -5 - (-362)/(-534).
356
Suppose -x - 5 + 26 = -4*p, -p = 0. What is the common denominator of (-146)/(-192) + 7/x and -70/9?
288
Calculate the common denominator of (5/(-60)*-8)/(174/81*-13) and -61/10.
3770
Suppose 42 + 48 = 9*c. Let o(a) = -36*a**3 + a**2 - 2. What is the lowest common multiple of c and o(-1)?
70
Let p = 4/1621 + 30679/48630. What is the common denominator of -77/40 and p?
120
Let a(y) = 3*y + 180. Calculate the smallest common multiple of a(-8) and 276.
3588
Let p be (-176)/524854*2/8. Let y = p + 1169141/1765418. Let u = -354 - -3871/11. What is the common denominator of y and u?
814
Calculate the common denominator of (66 - -1)/(2615*(144/(-20))/3) and -13/30.
31380
Let y = 12 + -7. Suppose -4*f - 48 = -3*p, p - y*f - 16 - 11 = 0. Find the common denominator of 10/7 + p/(-4) and -70/3.
21
Let o = -28824 - -5101870/177. What is the common denominator of -121/324 and o?
19116
Let b = 28361/12 - 2375. Find the common denominator of b and 471/99 + (-2)/3.
132
Calculate the lowest common multiple of 756 and -7 - 20992/(-120) - 1/(-15).
1512
Suppose k + 2*c - c + 19 = 0, c = -4*k - 64. Suppose -8*g = -323 + 331. What is the common denominator of ((-3)/k)/g - 1002/1440 and -57/4?
48
Let z = -429432771/914 - -469839. What is the common denominator of 17/6 and z?
2742
Let x = 11816 - 11790. Calculate the smallest common multiple of 78 and x.
78
Suppose 0 = -3*f - f + 1340. Let k = -43 + f. Find the common denominator of 50/21 and (k/90)/(26/(-39)).
105
Let u(a) be the third derivative of -5/24*a**4 - 36*a**2 + 1/120*a**6 + 1/15*a**5 + a**3 + 0*a + 0. What is the smallest common multiple of 2 and u(-5)?
6
Calculate the common denominator of -101/2145 and ((-17)/(-330))/(6 + 427/(-56)).
2145
Let m = 3/994 - 34299/1988. Suppose 0 = -q - 1, 2*d - 3*q = -0*q - 21. Find the common denominator of (85/d)/1 - -3 and m.
12
What is the common denominator of -13/6 and (-13 + (-330806)/(-25256))*4/(-6)?
2706
Let b(m) = -m**2 - 18*m - 53. Suppose -s = 3*a + 5 + 14, -5*s + a = 31. Calculate the least common multiple of (-178)/(-4) + 2/(-4) and b(s).
264
Let k(j) = 25*j**3 - 10*j**2 + 31*j - 124. What is the least common multiple of 1440 and k(4)?
1440
Let u = 27471/20 - 1371. Let q(p) = 8*p**2 - 2*p + 18. Let o be q(-6). What is the common denominator of u and o/30 + -10 + 2/8?
20
What is the common denominator of 179/840 and (14/72)/((-107)/(-132) - 9/12)?
840
Calculate the common denominator of 86/(-1161)*1233/1536 and 123/10.
11520
Let d = 9275 - 92689/10. Calculate the common denominator of d and -79/130.
130
Calculate the common denominator of (-308)/(-8) + (-1 - 0) and (448/40)/(-28)*8.
10
Suppose 0 = -55*a - 13*a + 71857 - 23917. Calculate the smallest common multiple of 15 and a.
705
Let l be 14 + 1*(-48)/6. Suppose -5*x = 5*y - 5, -2*y + x = y - 11. Calculate the common denominator of -101/30 and y + (-121)/l - 1.
30
Let a = 222364 + -109847857/494. Calculate the common denominator of 8/13 and a.
494
Suppose -n - 8 = -3*n. Suppose -n*u - x + 20 - 1 = 0, 16 = u - 2*x. What is the smallest common multiple of u and (5 - -1) + -4 + 3?
30
Let p = 21 + -22. Let h be ((-1278)/(-1277) + p)/(8/(-16)). Let l = h + -51058/14047. What is the common denominator of l and -28?
11
Suppose 4*w = 11 - 71. Let d be w/75 + (-9238)/10. Find the common denominator of 25/64 and d/7*(-3)/64.
64
Suppose -7*a - 1757 = -14*a. Let h = a - 233. Let z(c) = c**2 - 3*c - 6. What is the smallest common multiple of z(5) and h?
36
Let r = -53026465/1072 - -49465. Find the common denominator of r and 43.
1072
Let r(k) = 19*k**3 + 2*k**2 + 6*k - 7. Calculate the lowest common multiple of r(1) and 4.
20
Suppose -4*b - 60 = -9*b. Suppose 6943*h + 1 = 6941*h + z, z - 5