2
Suppose -24 = n + 2*i, i + 9 = n + 21. What is the smallest common multiple of 12 and (15 + n)/(1/(-4))?
12
Let d = 71537/510 + -2452/17. Find the common denominator of 43/273 and d.
2730
What is the least common multiple of ((-15)/5)/((-2)/12) and 135/(-10)*4/(-3)?
18
Let r = 54 - -10. Calculate the lowest common multiple of 25 and ((-3)/4)/((-12)/r).
100
Suppose -2*x = 4*l - 50, -2*x = -5*x + 5*l + 75. Let p = -15 + x. What is the least common multiple of p and 34?
170
Let x = 1674741/31 - 54012. Let g = x + -7913/558. Calculate the common denominator of -41/40 and g.
360
Let k = 85835123/2125 - 40393. Let p = k + 2903/826625. Let h = -5843/3112 + p. Find the common denominator of -3/7 and h.
56
Let j = 14201/25 - 568. Calculate the common denominator of j and 2/10 + 176/70.
175
Suppose -93 = 8*n - 293. Calculate the lowest common multiple of 5/(n/3)*(-10)/(-1) and 7.
42
Find the common denominator of 927/(-243) - -2 - (2 + -4) and -73/153.
459
Suppose 5*b + 2*i + 390 = 7*i, 3*b + i + 242 = 0. What is the least common multiple of 16 and (-3)/((135/b)/9)?
16
Let u be 2 - -6*15/(-5). Let l = -14 - u. What is the smallest common multiple of l and 32?
32
Suppose 5*s = -4*r - 41, -5*s - 4*r + 3*r = 29. What is the common denominator of (-62)/(-4)*((-65)/(-15) + s) and 8/9?
9
Suppose -4*g = 3*g. Suppose -4*v + z + 39 = g, -z = -v + 2*v - 11. Let w = 54 - 32. Calculate the lowest common multiple of w and v.
110
Let l(u) = u**2 - 10*u + 10. Let w = 23 + -14. Suppose 3*n - 8 - 1 = 0. What is the smallest common multiple of l(w) and n?
3
Let t = -1385140/3 - -2827993/6. Let m = 9642 - t. Let j = 331/2 - 607/4. Find the common denominator of j and m.
12
Let s = -2117507/14152 + 7/7076. Let f = s + 277/2. What is the common denominator of -77/36 and f?
72
Let k = -25393/10 - -2528. Calculate the common denominator of -23/3 and k.
30
Let r = 83 + -78. Let q(n) = n**3 - 4*n**2 - 4*n + 3. Calculate the lowest common multiple of 2 and q(r).
8
Suppose 0 = -39*m + 5330 - 1235. Calculate the least common multiple of 140 and m.
420
Suppose -10 = -2*o - 6. Suppose 2*p - 3*b + 2*b = 39, -5*p + 4*b + 90 = 0. Calculate the least common multiple of o and p.
22
Let g = -38/15 + 50/21. Calculate the common denominator of g and 62/3.
105
Suppose u - 3*q = 20, -58 = -5*u + 5*q + 12. Find the common denominator of -11/30 and (10 - u) + (-26)/(-30).
30
Suppose 19 = 3*i - 3*p - 5, -3*i + 20 = -2*p. Let s be (i/(-6))/((-1)/33). Let l = -18 + s. Calculate the smallest common multiple of l and 17.
68
Let f = 784 - 771. Calculate the least common multiple of f and 2.
26
Let x = 419 - 246. Let u = 455/3 - x. Find the common denominator of u and 149/6.
6
Let p = -546 + 573. Calculate the least common multiple of p and (-140)/(-6) - (-6)/9.
216
Calculate the lowest common multiple of (-27)/(-63) - 1041/(-21) and 110.
550
Let y = 25548149/126 + -202762. Find the common denominator of y and -34/9.
126
Let r = 45519 + -1365433/30. Calculate the common denominator of -31/30 and r.
30
Suppose 4*d - 1166 = 2*d + 4*y, 2*d = -y + 1191. Suppose d + 977 = -5*s. Let z = s - -2795/9. Find the common denominator of z and -91/8.
72
Let o(q) = 72*q - 72. Let b be o(17). Let h = b - 3520/3. What is the common denominator of 13/3 and h?
3
Calculate the lowest common multiple of 8 and 368/14 + 8*7/(-196).
104
Find the common denominator of ((-69276)/(-264))/23 - 14 and (-90)/88*4/10.
22
Let t = -17 + 14. What is the lowest common multiple of (3 - 12/(12/t))/1 and (-12)/(5/(15/(-2)))?
18
Let o(h) = 7*h**2 - 1677*h**3 + 1678*h**3 - 23*h**2 + 20. What is the lowest common multiple of o(16) and 28?
140
Let d = 33 - 57. Calculate the common denominator of (-3)/d + 269/(-24) and 19/8.
24
Let h = -1464 + 1627. What is the least common multiple of h and 6?
978
Let l(t) = 6*t + 170. What is the lowest common multiple of l(-25) and 36?
180
Suppose -5*t - 405 = 2*n - 55, 0 = 4*n - 5*t + 760. Let m be (958/(-40))/(4/n). Let z = 1107 - m. Find the common denominator of -19/10 and z.
80
Let y = 151/8 - 323/16. Calculate the common denominator of y and 83/44.
176
What is the common denominator of (4/14)/((-138)/(-3519)) and 11/680?
4760
Let z = 543 + -405. What is the lowest common multiple of z and 66?
1518
Let i(w) be the first derivative of w**3/3 - w**2/2 - 12*w + 10. What is the lowest common multiple of 21 and i(-5)?
126
Let f(c) = -c**3 - 37*c**2 - c - 5. What is the smallest common multiple of f(-37) and 18?
288
Let a be (-1)/(-4) + (-465)/(-60). Suppose -5*m + 21 = 4*p - 9, a = -4*m. Calculate the smallest common multiple of 30 and p.
30
Suppose -4*m - 3*c + 30 = 0, 2*m + m = 2*c + 14. What is the lowest common multiple of 18/(-4)*(-32)/6 and m?
24
Suppose -5*s = -2*b - 67, 5*b + 0*b = -5*s - 150. Let c = -27 - b. Let h = 34 + -15. Calculate the smallest common multiple of c and h.
76
Let j(v) = -v**3 - 16*v**2 - 14*v + 18. Let m be j(-15). Let w = m - -8. Calculate the smallest common multiple of 4 and w.
44
Let u = 17/22 - 399/11. What is the common denominator of -101/318 and u?
318
Let b = -405 + 409. What is the lowest common multiple of b and 110?
220
Calculate the common denominator of 10/(-10) - (5 - 7495/1230) and 46/27.
2214
Suppose -3*z + 2040 = 31*z. What is the least common multiple of z and 120?
120
Let n = -3041/3 + 995. Let c = 2536 - 4400. Let a = -18619/10 - c. What is the common denominator of n and a?
30
Let h be ((-9)/12)/(3/(-60)). Let y = 1 - -3. What is the least common multiple of y and ((-12)/(-5))/(h/100)?
16
Let w(b) = b - 7. Let a be w(16). What is the common denominator of a/3 - 292/48 and (1 - 0) + (3102/(-108))/(-11)?
36
Let i = -56 - -57. Suppose -k = i - 17. What is the smallest common multiple of 24 and k?
48
Find the common denominator of -103/24 and ((-2812)/(-1254))/(16/6).
264
Let g = 1045 - 6102. Let w = g + 70867/14. What is the common denominator of 1/(-5) + (-549)/(-70) and w?
14
Let z = 18 - 11. What is the least common multiple of -4*((-9)/12 + -1) and z?
7
Let b(u) = 3*u**2 - 2*u. Let p be b(-4). Suppose -p = -2*n - 16. Calculate the smallest common multiple of 14 and n.
140
Let k = 218 + -306. Let q = -78 - k. Calculate the lowest common multiple of 10 and q.
10
What is the common denominator of 75/62 and ((-24)/(-20))/(40/(-145))?
620
Suppose -3*w + 0 = -192. Suppose -w = 3*j - 5*j. What is the smallest common multiple of (j/3)/(9/27) and 22?
352
Let t(o) = -28*o**3 - o + 1. Let h be t(1). Let g = -174 - -188. Calculate the lowest common multiple of ((-72)/h)/(9/42) and g.
84
Let x = -208 - -291. Let i = 146 - x. What is the lowest common multiple of 10 and i?
630
Let y = 411/10 - 248/5. Let l = 218132270/500049 - -24/55561. Let r = -86795/198 + l. Calculate the common denominator of r and y.
22
Let a = 662 + -659. Suppose -4*j + 0 = -3*c - 32, -5*c = 5*j - 5. Calculate the least common multiple of j and a.
15
Let h(z) = -z + 15. Let g be h(6). Suppose -19*k + g*k + 120 = 0. What is the least common multiple of k and (-1)/(3/144*-2)?
24
Suppose 2*g - 7 = -g - 2*u, 5*g - 3*u = 18. Suppose g*j - 7 - 11 = 0. Let p = 47 - 27. What is the smallest common multiple of p and j?
60
Let l be ((-26818)/(-69))/((-1)/3). Let j = 3541/3 + l. What is the common denominator of 14/5 and j?
15
Let z be -3 + 2 + 17940/(-9). Suppose -v - 5*p + 2022 = 0, -5*v - 2*p + 3296 + 6768 = 0. Let c = v + z. Find the common denominator of 43/5 and c.
15
Let s be -1*((-6 - -3) + 8). Let r = s - 2. Calculate the common denominator of -67/14 and r/(-2)*1/10.
140
Let s(f) = f**2 + 48*f + 221. What is the least common multiple of 534 and s(-5)?
534
Let f(i) = i**2 - 3*i. Let g be f(4). Suppose g*v - 3 + 15 = 2*r, 0 = 3*r - 12. Calculate the least common multiple of 2 and (-54)/12*2*v.
18
Let l(y) = -y**2 + 5*y + 3. Let n be l(5). Suppose 0 = n*p - 5 - 13. What is the least common multiple of p and 30?
30
Let q(f) = -f**2 + 11*f + 17. Let w be q(12). Suppose -2*x + w = 3*y - 0, x - y - 5 = 0. Calculate the least common multiple of 6 and x.
12
Let b(g) = 8*g - 47. Let a be b(4). Let l(c) = -c**3 - 14*c**2 + 16*c + 25. Calculate the smallest common multiple of 25 and l(a).
50
Find the common denominator of 1/14 and 6/(-45) + (114632/32640 - 3).
1904
Suppose 3*y = 4*s - 89, 2*y + 12 = -2*