628
Suppose 34 = 6*d - 4*d. Let c(m) = m**2 + 51*m + 310. Calculate the least common multiple of c(-7) and d.
34
Let g(u) = -205*u - 120. Let x be g(-14). Calculate the common denominator of 145/36 and x/792 - (-1 - -3).
36
Let q = 375 + -725/2. Suppose -5*n + b = 36976, -4*n - 29600 = 17*b - 13*b. Let l = n - -44245/6. What is the common denominator of q and l?
6
Let b be 11 + ((-3)/(-5))/(27/(-135)). Calculate the lowest common multiple of (18 - (b - 5)) + 6/2 and 40.
360
Let b be 68/(-85) + (-818)/5. Let t = -531129657/80 + 6638957. Let w = t - b. Calculate the common denominator of w and 58/5.
80
Let r be (-1086)/3752 + 0 + 108/144. Let t = -16/201 + r. Calculate the common denominator of -17/33 and t.
231
Let o(r) = -58*r + 8002. Calculate the lowest common multiple of 966 and o(88).
2898
Let z be -8 + 7 + (12/(-1))/(-2). Let r = 8 - z. What is the common denominator of (r + (-33)/(-36))*(-8)/18 and -2/3?
27
Let r = 87 + 264. Suppose 3*i - 1067 = 3*o + o, 0 = -i - o + r. Let w = -689/2 + i. Find the common denominator of 121/10 and w.
10
Let m = 768/23 - 16247/552. Let u(w) = w**2 + 3*w - 104. Let d be u(0). Let i = d - -2810/27. What is the common denominator of i and m?
216
Let r be 2/8 - (-6851)/52. Find the common denominator of (-15)/(-7) + ((-180)/(-27))/4 and 3 + (-956)/r - -3.
231
Calculate the lowest common multiple of 91 and 4/(-64)*-8*206.
9373
Suppose 0 = -13*s - 28*s + 426 + 5970. What is the smallest common multiple of s and 260?
780
Suppose 411 - 16 = 2*h + o, -3*h - 3*o = -597. Let n = -5270/27 + h. Let p = 1745561/384312 + -6/16013. Calculate the common denominator of p and n.
216
Suppose 10*p - 469 + 389 = 0. What is the lowest common multiple of p and 32?
32
Suppose 25*t + 1180 = -1645. What is the common denominator of -6 - (-65)/(-1180)*t and -83/14?
1652
Let h(n) = 110*n**2 - 3*n - 4. Let b be h(-2). Let f = -429 + b. What is the lowest common multiple of 11 and f?
143
Let p = -64691/15 + 4315. Let f be ((-469)/237 + 2)*1061. Let u = 4/79 - f. What is the common denominator of u and p?
15
Let c(l) = -520*l + 9117. What is the least common multiple of c(10) and 3?
11751
Let r = -797642/135 - -59091/10. Calculate the common denominator of r and -83/570.
5130
Let g(d) = d**3 + 8*d**2 + 6*d + 16. Suppose -p - a = -5*a + 15, 2*p + 4*a = 6. Calculate the common denominator of -27/184 and g(p).
184
Suppose 4*m = 4, 5*i - 3*m + 13 = -5. What is the common denominator of i + 786/72 + -2 and -19/128?
384
Suppose 5*j - 25 = 0, -25*o - 5*j = -26*o + 427. Suppose 5*k - k - 40 = -2*i, 4*k + 14 = i. Calculate the lowest common multiple of i and o.
4068
Suppose m - 3 + 0 = 0. Let x = 36 - -159. Let y = -188 + x. What is the lowest common multiple of y and m?
21
Suppose -2*u + 0*f + 2738 = -4*f, 7*f = u - 1364. Calculate the lowest common multiple of 27 and u.
12339
What is the common denominator of 97/264 and (0 - -1) + (-8855)/7986?
2904
Let d(v) = -17*v - 1. Let r be d(-1). Suppose -4*m + r = -0*m. What is the lowest common multiple of 16 and m?
16
Let g = 592 - 301. Let a = g + -275. What is the least common multiple of a and 56?
112
Let l(t) = -5875*t + 163. Let w be l(-8). Let d = -5423779/115 + w. What is the common denominator of -29/15 and d?
345
Let s(y) = -y**3 + 32*y**2 + 36*y - 9. Let x be s(33). Find the common denominator of (3 - 2) + ((-4675)/x)/(-17) and -57/22.
198
Suppose -3*k = d - 60, k + 20 = 2*k + 5*d. Let r = -12 - -14. Let g = r + 4. What is the smallest common multiple of g and k?
60
Find the common denominator of (0 - 10) + 18840/2112 and -71/176.
176
Let f be ((-8)/18)/((-23)/276)*3. Suppose 25*x - f*x = 450. Calculate the smallest common multiple of x and 110.
550
Let q = -2265 - -95029/42. Let w = -2004/5 - -8211/20. Find the common denominator of q and w.
84
Let w(y) = 2*y**2 - y - 18. Let s(m) = -4*m**3 - m**2 + m - 2. What is the smallest common multiple of w(-4) and s(-2)?
72
Let i = -3257128/79 + 41227. Let l = -22439/11139 - i. What is the common denominator of l and 45/7?
987
Suppose p + 27 = -10. Calculate the common denominator of -8/55 and (-78)/455*p/3.
385
Suppose 2*d + 4*a = 1243 + 2293, -3*a - 3564 = -2*d. What is the lowest common multiple of 2664 and d?
5328
Suppose 5*k - 2*q + 786 = -79, -k - 4*q - 173 = 0. Let w = k + 178. Calculate the lowest common multiple of w and 113.
565
Let a = -888/6344967547 + 16196921810528773/18569879969480370. Let b = -1/130076 - a. What is the common denominator of 55/84 and b?
1260
What is the smallest common multiple of 0 - 2/9 - 3038/(-63) and 71 - (0/24 - (1 + -6))?
528
Calculate the smallest common multiple of 15 and (-3 + (-372)/8)*1372/(-147).
2310
Let t = -14571 + 16509. Calculate the least common multiple of t and 285.
9690
Let l = 143 + -60. Let g = -301 + l. Calculate the common denominator of 46/33 and g/(-24) + (-12)/18.
132
Find the common denominator of 17/1705 and (-58437)/11880 + 126/27.
13640
Suppose g - 5*r = 4*g + 254, 4*r = 2*g + 140. Find the common denominator of g/(-27) + (-60)/45 and -87/10.
90
Let h(w) = w**2 + 2*w - w + 2*w**2 - 2*w**2. What is the least common multiple of (-17150)/(-343) + 2*3 and h(1)?
56
Let h be -8 + 9/(648/802410). Let v = h - 11130. Find the common denominator of -145/54 and v.
108
Suppose 3*d + 2240 - 10769 = 0. Let n = 14189 - d. Let o = -499131/44 + n. What is the common denominator of o and -77/2?
44
Let m = 40616 - 68397337/1684. Calculate the common denominator of m and -5/8.
3368
Let r = -24105 + 27411. What is the least common multiple of 1254 and r?
36366
Let g(l) = 2*l**2 + l - 3. Let m(o) = -o**3 + 5*o**2 + 2*o - 11. What is the lowest common multiple of m(3) and g(2)?
91
Let o = 4733 - 4445. What is the smallest common multiple of o and 10?
1440
Let z = 125 + -53. Calculate the least common multiple of z and (-163 - -147)*(0 - 0 - 2).
288
Find the common denominator of ((-6)/3682)/(15 - (-13968)/(-928)) and -74/3.
5523
Find the common denominator of (1/4)/((-195)/550) and (-1 - -2) + 206/(-32).
624
What is the lowest common multiple of 136 and 135/216 - (-179893)/56?
25704
Let b(p) = 2*p**2 + 60*p + 26. Let o(n) = 10*n**2 + 301*n + 130. Let d(s) = -11*b(s) + 2*o(s). What is the least common multiple of d(-28) and 50?
150
Let v = 1706 + -1670. Calculate the smallest common multiple of 6 and v.
36
Calculate the lowest common multiple of (-8 - (-2 - -1))/((-3)/84) and 7.
196
What is the common denominator of -64/123 and 7/14*-6 - 14/15?
615
Suppose -11823 = -5*u + d, 27*u + d - 4732 = 25*u. Calculate the lowest common multiple of u and 20.
9460
What is the common denominator of -41/75 and 5*44/(-165)*33/(-650)?
975
Let u = -505/2 + 2049/8. What is the common denominator of u and (-6)/21 + 206/28?
56
Suppose 5*p = 15, 0*v + 2*v + p - 7 = 0. Let r = -4477/1312 - -72/41. What is the common denominator of (6/(480/v))/(2/125) and r?
32
Let g = -1123001 + 774870847/690. Calculate the common denominator of 119/120 and g.
2760
Let d = -253804 - -332229371/1309. What is the common denominator of d and -29/35?
6545
Calculate the smallest common multiple of 80 and (-8652)/(-15) + (-1 - (-15)/75).
2880
Let g be 1/(-2)*-9*4/34878. Let o = g + 284756/156951. Calculate the common denominator of 89/18 and o.
54
Suppose 2*y + 15 = 13. Let s be -3 - y - 19/((-1064)/400). Let m = -201/14 - s. Calculate the common denominator of -3/16 and m.
16
Let x = -73188905695949748301/118326524876415315 + 117/417311272907. Let y = 14/283545 + x. Let f = y + 618. Calculate the common denominator of f and -4/27.
135
Let d = 151/148 + -1123/185. Find the common denominator of d and -49/2876.
14380
Let j(g) be the first derivative of -g**3/3 + 19*g**2/2 + 25*g + 22. Let b be j(19). Let o = b + 5. What is the least common multiple of 8 and o?
120
Let z = -7832357641/3036 - -2579828. Find the common denominator of 88/483 and z.
21252
Let v = -9529/402 + 1596/67. What is the common denominator of v and 83/66?
4422
Let k(y) = -2*y**3 + 6*y**2. Let u be k(4). Find the common denominator of 9/16 and (6*74/u)/((-108)/16).
144
What is the common denominator of 9/1050*(-605)/6 and -29/26?
1820
Let z = 698 + -617. Calculate the common denominator of 5/174 and (-74)/z*75/100.
1566
Let l be 30/(-6) - (-6 + 1). Suppose l = -0*u + u + 4*g - 3