- 3. Let t = v + 8. What is the common denominator of -7/12 and t/(-8)*(-184)/48?
24
Let z be (-7)/(159740/(-6735))*(-1544)/(-58). Let s = z + 2/4727. Calculate the common denominator of s and 1046/90 + 2/(-9).
35
Let c = 87120 + -67256565/772. Calculate the common denominator of c and -75/8.
1544
Suppose -i + 2*a + 133 = 0, 0 = 4*i + i + a - 665. Suppose -5*m = -4*w + 100 - 2, 5*w = m + i. What is the least common multiple of 72 and w?
216
Let y(q) be the second derivative of -q**4/12 + 3*q**3/2 - 13*q**2/2 - 11*q. Calculate the lowest common multiple of y(6) and 15.
15
Suppose -3*s - s - 3*a + 47 = 0, 0 = -a + 1. Let u = -7 + s. What is the lowest common multiple of u and 28?
28
What is the common denominator of (-1)/(-12)*(-76)/6 and 90/96 + 0 + 5?
144
Let v = 749498 - 836439665/1116. Let b = v + -2/31. What is the common denominator of 19/4 and b?
36
Let c = 22 + -18. Suppose 0 = 2*k - k + 1, c*t - k = 13. Calculate the least common multiple of 9 and t.
9
Let b be (146/(-27))/(4/(-3516)). Let q = -4747 + b. Find the common denominator of q and (-42)/(-20)*(-65)/(-6).
36
Suppose -8*j = -123 - 2037. Calculate the common denominator of (j/96)/(3/20) and -97/10.
20
Let i = 480/7 - 2579/42. Calculate the common denominator of 5/141 and i.
282
Let h = 6595 + -131831/20. Calculate the common denominator of 61/100 and h.
100
Let l = 89 - 497/12. Let m = l - 371/6. What is the common denominator of m and -127/24?
24
Let t = 4777 + -33381/7. Calculate the common denominator of -5470*(-18)/5040 - (-4)/(-14) and t.
28
Let j be 16/(-6) - (-1)/(-3) - -56. Suppose -405 + j = -8*k. Calculate the smallest common multiple of 4 and k.
44
Let c(t) = 11*t + 20. Let a be c(-4). Calculate the common denominator of -31/11 and 40 + -44 - (1 + 151/a).
264
Let s be (-4*2/(-1660))/(42/(-200)). Let l = s + -53759/163842. Calculate the common denominator of 59/16 and l.
752
Let h(n) = -n**2 - 4*n + 7. Let u be h(-5). Suppose -c + 24 = u*c. Let l = -2 - -9. What is the least common multiple of c and l?
56
What is the common denominator of -23/48 and (-609)/98*(-4)/48?
336
Let c = 902/19 - 17337/380. Let k = -1555/568977 - 4156649543/1426994316. Let s = 2/1881 - k. What is the common denominator of s and c?
60
Suppose 2*d = -7*z + 4*z + 21, -3*z = -3. Calculate the common denominator of -1 + -23*2/(-40) and (-21)/28*39/d.
20
Suppose -36*z + 37*z = 86. Let v = 42 - z. What is the common denominator of 57/2 and -2 + 218/v + 2?
22
Let j(g) = -22*g - 232. What is the lowest common multiple of j(-12) and 36?
288
Let t = -428 - -3437/8. What is the common denominator of t and -91/20?
40
Suppose 0*y + 4*y - 3 = -p, 4*y + 12 = 4*p. Suppose 5*c + 2 - 42 = y. Calculate the least common multiple of c and 24.
24
Suppose -w + 35 = -2*l + 2, -l + 3*w - 29 = 0. Calculate the common denominator of 31/48 and (1/l)/((-60)/910).
48
Let i = -156 - -294. Suppose -17*d + i = -100. What is the least common multiple of 20 and d?
140
Let o = -340 - -430. Calculate the least common multiple of 30 and o.
90
What is the common denominator of -12 + 2830/240 - (5 - 1) and -13/72?
72
Let v be 2/((-2)/(-3))*(-4)/(-6). Suppose -56 = -3*d + v*g, -d - 4*d + g = -105. What is the lowest common multiple of d and 10?
110
Let x be (-7)/((-63)/240)*6/5. Let r = 46 - x. Calculate the smallest common multiple of 2 and r.
14
What is the common denominator of -101/12 and (-38)/114*29/(-4)?
12
Let c = 387 - 4274/11. What is the common denominator of 67/120 and c?
1320
What is the common denominator of (5/400*6)/(180/3950) and -117/80?
240
Suppose 5*g = 5*b + g - 51, -4*g = 3*b - 5. Let m(p) = 8*p. Let h be m(b). Find the common denominator of -53/2 and 1154/28 + 16/h.
2
Suppose 4*t + 18 = 58. Let s(l) = -l**3 + 9*l**2 + 10*l + 7. Calculate the smallest common multiple of 10 and s(t).
70
Let o be 205/405*((-11445)/1824 - -3). Let x = -2/1539 - o. What is the common denominator of 34/9 and x?
288
Suppose 0 = 36*k - 57*k + 252. What is the least common multiple of k and 6?
12
Suppose r + 3*c = -0*r - 9, -c = -r + 7. Suppose -13 = -4*i - 3*q, 2*q - 11 = -5*i - 0*i. Calculate the least common multiple of i and r.
3
Let f = -22697/25 - -908. Calculate the common denominator of f and -67/50.
50
Let z = -29 + 28. What is the smallest common multiple of 46 and 21 + (0/((-2)/(-2)) - z)?
506
Let l = 62234/55965 - 146/533. Find the common denominator of l and -13/385.
1155
Let z be (15/(-4))/(24/(-20486)). Let l = -3203 + z. Calculate the common denominator of l and -3/8.
16
Let c = -2 - -3. Suppose c = -j, -5*k + 27 = 3*j - 0*j. Let r = 745 + -733. What is the least common multiple of k and r?
12
Let i be (-586)/(-36)*(-6 + 10). Let b = i + -2539/36. Calculate the common denominator of b and 11/18.
36
Suppose -2*q + 5373 = q. Let b = q + -14385/8. What is the common denominator of ((-1305)/(-21))/5 + -5 and b?
56
Let s = -28 + 2. Find the common denominator of 14/9 and 20/32*s - 4.
36
Suppose 3*q - 8*q = i + 22, 3*q = -3*i - 6. Suppose 3*o + 3 = -i. Find the common denominator of -83/10 and -3*46/(-132) + o.
110
Let t = -178845 - -30046061/168. What is the common denominator of t and -10/3?
168
Let h = 19324/231 - 251/3. Find the common denominator of -59/66 and h.
462
Calculate the lowest common multiple of 2 + (119/(-28))/(2/(-32)) and 30.
210
Let v be (-2)/(-6) + 20/3. Suppose 153*u + 78 = 159*u. Suppose 2*l = v + u. What is the least common multiple of 5 and l?
10
Let q(k) = k**2 + 3*k - 2. Let w be q(-4). Find the common denominator of 5265/(-26)*1/(-20) and ((-1)/w)/(24/(-222)).
8
Let w(f) = 116*f + 3. Let d be w(1). Let z = 135 - d. Calculate the lowest common multiple of z and 16.
16
Let a = 39003 - 5889411/151. Let s = a - -5377/755. Calculate the common denominator of s and 42.
5
Let r = 8 + 2. Suppose 5*b + 9 = -2*g, 47 = 4*g - 5*b + 2*b. What is the least common multiple of r and g?
40
Suppose -j - 3*s = -3, 5*j - 4*s + 3 = -1. Suppose j*r - r = w - 13, -r + 23 = -w. Calculate the smallest common multiple of r and 1 + -1 + 1 - -3.
36
Let u(z) = z**3 - z**2 - 4*z + 4. Let w be u(2). Let x be (2 + w)*(12 - 8). Let t = -3 + x. What is the smallest common multiple of 2 and t?
10
Let o = 14063/10485 + 10/699. What is the common denominator of o and 83/10?
90
Let j(a) = a**3 + 4*a**2 - 5*a. Let o be -4 - -2 - (-2 + 0 + 4). Calculate the lowest common multiple of 142 and j(o).
1420
Suppose 13*u - 14*u = -33. Calculate the common denominator of 91/20 and (-2 + -2 + -11)*u/(-216).
120
Let w = 52 + -38. Suppose 2*p - 5 = -a + w, -a - 16 = -3*p. Calculate the lowest common multiple of 43 and p.
301
Let g be 0 + (0 - (0 + -4)). Let r be (-6)/g*28/(-2). Suppose r = 2*h + o, 4*h - 7*o + 2*o = 49. What is the smallest common multiple of h and 9?
99
Let d(o) = -o**2 - 9*o - 5. Let z be d(-9). What is the common denominator of (3 + 3)*(-14)/88*z and -13/38?
418
Let x = -656/3 - -3526/33. Let q be (-14)/(-98) + (-142094)/1232. Let a = x - q. What is the common denominator of a and 47/22?
88
Let u = 5656066/759 + -7452. Let a = 32645/3036 + u. Calculate the common denominator of -87/20 and a.
20
Suppose 0*l = k + 4*l + 3, -7 = -k + l. Suppose 3*b + 9 = 6*b. Suppose 2*i + 3*u - 6*u = 16, -b*i = k*u - 24. What is the lowest common multiple of i and 7?
56
Let w(b) = -6*b + 1. Let k be (2 - 1)/(-3 - -2). Let y = 167 - 157. Calculate the least common multiple of w(k) and y.
70
Let j = 49 + 0. Let l = -22 + j. What is the smallest common multiple of l and 12?
108
Let l = -207 + 211. Calculate the lowest common multiple of l and 16.
16
Suppose -48 = -2*h + 12. What is the lowest common multiple of 8 and h/(-7)*(-196)/42?
40
Suppose 2*f = 2*h + 2, -5*h - f - 2*f - 21 = 0. Let p be (-28)/3*75/10. What is the common denominator of -97/8 and (p/(-36))/(-1) - h?
72
Find the common denominator of (-262)/(-180) + 7 + 192/(-30) and 93/2384.
21456
Find the common denominator of -85/36 and -4*10683/(-5328) + -8.
1332
Find the common denominator of -28/37 and (122/(-4))/(2/(-2)).
74
Suppose 13*d + 153 = 283. What is the lowest common multiple of d and -13*1*-1 - 2?
110
Let q be 2/110*75/195. Let k = -3013/1430 + q. What is the common denominator of 97/6 and k?
30
Let f = 41508 - 80885/2. Suppose a + 1034 = -0*a. Let u = f + a. Find the common de