1020)) and 31/36.
180
What is the common denominator of 67/591 and -16 - ((-4518)/108 - -16)?
1182
Suppose 0 = 6*s + 1 - 43. Let u(b) = -b**3 + 7*b**2 + b - 9. Let d be u(s). What is the lowest common multiple of 10 and (d/4)/((-524)/(-176) + -3)?
110
Let q = 294 - 293. Let o(c) = -c**3 + 4*c**2 - 3*c + 4. Let i be o(3). What is the least common multiple of q and 1/(516/128 - i)?
32
Let u = 4452 + -66814/15. Let j = -332948/1113513 - -2/12799. Calculate the common denominator of j and u.
435
What is the common denominator of (-24)/(-10) + 3757/(-1479) and 5/27?
3915
Let y = 428 + -404. Let j = y - 6. Calculate the smallest common multiple of j and 12.
36
Suppose 7*f - 6*f = -2*h + 40, -5*h + 82 = -2*f. Calculate the common denominator of 1 + 198/16 - 2 and (((-15)/16)/(-5))/(h/60).
8
Suppose -3*w + 2*w = -5. Suppose r = 2*r - 5*z - 13, 2*r = w*z + 31. Calculate the lowest common multiple of r and ((-20360)/1527)/(4/(-6)).
180
Let z(p) = -9*p - 155. Let c be z(-18). Suppose 5*i + 41 = 4*w, 2*w + 2*i = w + c. Calculate the lowest common multiple of w and 119.
1071
Suppose b + 6 = 26. Suppose -4*m + 0*o = 4*o - 1792, o + 1352 = 3*m. Let i = 472 - m. What is the least common multiple of b and i?
220
Let b = 152152/23 + -6613. What is the common denominator of 0/4 + 27/33 and b?
253
Let b = 3/28903 - -1357211/11850230. Find the common denominator of -17/246 and b.
1230
Calculate the common denominator of -157/420 and (2 + 0 + (-5)/(-4))/((-43470)/(-4554)).
420
Let l = 53 - 6. Suppose -l*j + 48*j = 1. What is the smallest common multiple of j and (20/6)/(11/33)?
10
Let u(z) be the third derivative of -z**6/120 + 3*z**5/10 + z**4 - 41*z**3/6 - 158*z**2. Calculate the lowest common multiple of 6 and u(19).
54
Suppose 5*a - 402 = 103. Let r = 2936 - 2931. Suppose 5*y = 4*c - r*c + 57, -a = -3*c - y. Calculate the lowest common multiple of c and 18.
288
Let z = -368 + 380. Let f(k) = -2*k**3 + 14*k**2 - 9*k + 10. What is the least common multiple of f(6) and z?
84
Let d = 7018/35 + -1013777/5040. Calculate the common denominator of d and 264/24 - 25 - (-591)/66.
1584
Let f(o) = -23*o - 1. Suppose -q + 30 - 13 = 0. Suppose -2*k - 10 = -5*d, d - 3*d + 5*k = q. Calculate the least common multiple of d and f(-1).
44
Suppose 0 = -v - 6 + 8. Suppose 0*f + v*f = -5*m + 115, -2*m = 4*f - 62. Let r = m - 11. Calculate the lowest common multiple of r and 3.
30
Let i = 2665 + -2567. Calculate the least common multiple of 154 and i.
1078
Let y = 167692 - 46282943/276. Calculate the common denominator of -53/644 and y.
1932
Let l = -4160/1189 - -105/29. Let z = 700/3719 + 1698457/914874. Let b = l + z. Find the common denominator of 67/14 and b.
42
What is the common denominator of (52/(-32694))/(((-2)/24)/((-11)/(-44))) and 121/6?
32694
Suppose 12 = 3*y + g, 5*y - 4*g = -3 + 6. Suppose y*w = -k + 5*w + 44, -4*k + 226 = 2*w. Calculate the smallest common multiple of k and 10.
270
Let t = -12758 + 13324. Calculate the smallest common multiple of 4528 and t.
4528
Let p = -22243 - -4826716/217. Find the common denominator of -71/186 and p.
1302
Let m = -21917 - -3177949/145. Calculate the common denominator of -61/635 and m.
18415
Let s = 19155 - 421323/22. Let z = 5484309867/2266 + -2420262. Let b = z - -10/103. Calculate the common denominator of b and s.
22
Let d = -37783/38 - -1993/2. Let f = 645044 + -61279192/95. Calculate the common denominator of f and d.
95
Let r = 1/1628 - 18737/24420. Calculate the common denominator of -52/21 and r.
210
Suppose -u - 223*t = -224*t - 80, 0 = u - 15*t - 80. Suppose -13 + 55 = 3*n. Calculate the smallest common multiple of n and u.
560
Let l = -41623/22 + 1890. Find the common denominator of 19/3368 and l.
37048
Let j = 14527 - 14079. Calculate the lowest common multiple of 704 and j.
4928
Let q = 6512 + -6488. What is the lowest common multiple of 12*(0 - (-4)/3) and q?
48
Let q = 176749/3 - 59855. Let r = q - -30908/33. Find the common denominator of 119/10 and r.
330
Let k = 1185366 - 10655035/9. Let g = k - 1467. What is the common denominator of g and -64/3?
9
Calculate the common denominator of 33/16 and 2 - (24/(-4) - -2 - (-9138)/1528).
3056
Let a = -1469 + 1532. Calculate the least common multiple of 25 and a.
1575
Let k(f) = -f**2 + 41*f - 74. Let m be k(21). Let g = m + -343. Suppose 27 = u + 2*u. Calculate the least common multiple of u and g.
9
Let g = -711481/1155 + 4314/7. What is the common denominator of -121/216 and g?
11880
Let y = 7/349460 + -9667461503/3145140. Let d = y - -3068. Calculate the common denominator of (32/(-20))/(6/40) and d.
9
Calculate the common denominator of -17/789 and 755/(-270) - 42/(-28).
7101
Suppose -4*c + c + 180 = 0. Let s be (-24)/(-10)*c/8. Suppose x + 2*u - s = 4, x - 26 = -4*u. What is the smallest common multiple of 12 and x?
36
Let c be 3/(-12) - (-2)/(11 + -3). Suppose c = -42*o + 37*o + 1280. Suppose -3*j + 19*j - o = 0. What is the lowest common multiple of j and 12?
48
Suppose -14*n + 84 = -28*n. Calculate the lowest common multiple of ((-22)/n)/(-11)*(1 + -31) and 45.
90
What is the smallest common multiple of 0 + (-60)/36*-54 and 4?
180
Let t be 4 + (-1 - (3 - 6)). Let w = -15 + t. Let p = -20383/8 + 2538. Find the common denominator of p and w.
8
Let p = -36472/3 - -24436103/2010. Calculate the common denominator of 31/18 and p.
6030
Let z be (-114)/27 + (-6)/(-27). Let g(q) = -q**2 - 9*q + 13. Calculate the least common multiple of g(z) and 6.
66
Suppose 0 = -98*h + 5*h + 21390. What is the least common multiple of h and 3?
690
Let o = 1381/320 - 153/64. Let z(g) = 10*g**2 + 17*g - 87. Let s be z(21). What is the common denominator of o and 0 + 1/5 - 8307/s?
40
Suppose 0 = -17*o - 5144 + 333. Let r = o - -304. Let c(b) = -b**2 + 7*b - 3. Calculate the smallest common multiple of r and c(3).
63
Let v = 15220 - 212985/14. Let q be (-9)/(-6)*(-4)/(-6). Calculate the common denominator of 2 - ((-54)/(-60) + q) and v.
70
Let d(m) = 6*m - 125. Suppose -5*w = 5*x - 135, 5*x - 4*w + 7 = 133. What is the smallest common multiple of d(x) and 9?
279
What is the common denominator of 47/8 and (-6)/(-29448)*(-14 + -59)?
9816
Suppose -788 = -k + 4*n, 2*k + 64*n - 63*n - 1567 = 0. Calculate the common denominator of -83/70 and (-132)/k + (-125)/(-100).
490
Calculate the smallest common multiple of (0 + 90/4)*3496/3933 and 1775.
7100
Let o be 2/(-2) - 10/60*18. What is the common denominator of 33/6*3*o/(-112) and 31/42?
168
Let m(x) = 8*x - 10. Let s be m(-12). Let h = 128 + s. Calculate the lowest common multiple of 10 and h.
110
Let p(w) = -w**3 - 33*w**2 + 33*w - 6. Let z be p(-34). What is the common denominator of (8/(-8))/(z/(-26)) and -27/28?
28
Let m = -40/17 + 277/255. Find the common denominator of (-4)/(-8)*226*2/(-12) and m.
30
Suppose -i + 2*j = -122, -30*j = -5*i - 27*j + 638. What is the lowest common multiple of i and 40?
520
Let d = 22007/5079 + 2/5079. Find the common denominator of d and -47/1090.
3270
Suppose -7*z = -37 + 23. Suppose 5*x = -4*g + g + 230, -4*g + 288 = z*x. What is the least common multiple of g and 42?
210
Suppose -6885 = -20*h + 25*h. Let x = h + 15120/11. What is the common denominator of 24 - (1 - 15/6) and x?
22
Suppose 0 = 3*a + 2*z - 992, 13*z + 1655 = 5*a + 18*z. Calculate the smallest common multiple of 1220 and a.
40260
What is the common denominator of -133/1500 and ((-93)/(-42) - 2)/(5400/20916)?
1500
Let c(w) = w**3 - 11*w**2 - 17*w - 2. Let s be c(12). Let p = 105 + s. Let j = 61 - p. What is the smallest common multiple of j and 16?
144
Let c = -192 - -199. What is the common denominator of 3/20 and c/(-378)*3*(-262)/4?
180
Let o = 9077/29628 - 2/2469. Let i = 6514394080/22541 + -289002. Let a = i - 879067/360656. Calculate the common denominator of o and a.
144
Let j(b) = -16*b**2 + 3*b - 18. Let d be j(6). Let y = 1002 + d. Calculate the common denominator of (y/(-9))/(16/(-12)) and 37/39.
78
Let j = 1875 + -1805. Calculate the lowest common multiple of j and 270.
1890
Suppose 2*g - 3*j = -1670, 4175 = -5*g + 3*j - 2*j. Let o = g - -845. Calculate the lowest common multiple of 28 and o.
140
Suppose -27*k - 155 = 4*k. What is the common denominator of -87/28 and k/(-25) + 1644/880?
308
Suppose 28*b - 33*b - 15 = 0. Calculate