/3. Suppose s = -1 + u. Find the common denominator of -3 and ((-74)/s)/(21/6).
7
Let m be ((-1200)/50225)/(4/(-14)). Let s = m - -19037/2296. Calculate the common denominator of 125/18 and s.
72
Let o be -8*((-393)/6)/(-1). Let x = o + 371. Calculate the lowest common multiple of 16 and x/(-7) + 5/35.
176
Find the common denominator of (-10)/(-2) - (-341)/792*-20 and -121/42.
126
Suppose 13*t - 72 = 7*t. What is the least common multiple of -9*((-3)/9)/(-1) + 15 and t?
12
Let v = 59527/9020 - -1/1804. Calculate the common denominator of 19/20 and v.
20
Suppose 4*k - 481 = d, 4*k + d - 483 = 4*d. What is the least common multiple of 288 and k?
1440
Let k be (-29161 - -2)*3/81*-3. Let y = k - 3236. Calculate the common denominator of y and 167/(-36) - 2/8.
9
Suppose -g - 47 = -r, -4*r + 0*r - 2*g = -158. Suppose 0 = z + 3*z + 52. Find the common denominator of (r/(-12))/((-1)/(-7)) and z.
2
Let i(d) = 33*d + 17. What is the least common multiple of i(0) and 12 + (-2 - (0 - 0))?
170
Let k = -818 + 826. Let d(h) = -h**3 + 7*h**2 - 6*h + 3. Calculate the lowest common multiple of k and d(6).
24
Let k = 137 - 142. Find the common denominator of k/4*(-1701)/1155 and 85/16.
176
Suppose -32 = -2*d - 0*d. Let x = 34/35 - 1223/70. Calculate the common denominator of x and 98/(-26) - (-17 + d).
26
Suppose -65 = -466*q + 471*q. Suppose g = -4*m + 23, 2*g - 20 = 4*m + 2. What is the common denominator of ((-1)/g)/(2/(-321)) and q?
10
Suppose 2*p = -13 + 5. Let v be (-2)/(p + 39/9). Let w = 5 - v. What is the smallest common multiple of 5 and w?
55
Let l(r) = 18*r**2 - 4*r - 2. Let k be l(5). Calculate the common denominator of (-4)/10 + k/40 and 191/(-220) + 6/(-33).
20
Let j = -327 + 727/2. Let s = 2242 + -26995/12. What is the common denominator of s and j?
12
Let m = 48257/8 - 6033. Let o = 53/24 - 11/8. Find the common denominator of m and o.
24
Suppose -3*t - 4 = t. Let c = -62599/7256 - -2/907. What is the common denominator of c and t/(-3*15/(-207))?
40
Let t = 92 - 89. What is the smallest common multiple of 18 and (-3 + 2)/((-164)/(-56) - t)?
126
Let a = -6 + 0. What is the least common multiple of 62 and (-21)/(-7)*(-4)/a?
62
Suppose 3*m + m - 72 = 0. Suppose 15*q - m*q - 48 = 0. Find the common denominator of q/(-12)*-3 + -8 and 47/5.
5
Suppose 194 = 5*y - 196. Suppose r + y - 189 = 0. What is the common denominator of (r/(-4))/((-18)/12) and -43/4?
4
Let g(q) = -q**3 + 11*q**2 + q - 8. Let n be g(11). Suppose -1 = 2*y - n*y. What is the least common multiple of (6/12)/(2/36) and y?
9
Let d(a) = -1105*a - 6. Let l be d(3). Calculate the common denominator of l/819 + 2/7 and -50/3.
39
Let k(d) = -d**2 + 10*d - 12. Suppose -8*l + 139 + 69 = 0. Calculate the least common multiple of l and k(8).
52
Let o be (-106)/(20/4 - 3). Let j = -2221/330 - -218/55. Calculate the common denominator of j and o/(-12) - (4 + 0).
60
Let k be (-2)/11 - (-1 + (-786)/(-33)). Let d = k - -33. What is the least common multiple of 22 and d?
110
Calculate the smallest common multiple of (-652)/(-16) + 30/(-40) and 88.
440
Let k = 1847 + -1649. What is the lowest common multiple of 135 and k?
2970
Let d be ((-6)/(-9))/((-1)/(-3)). Suppose -3*i - 3*w = -27, -4*i - d*w = -7 - 39. What is the smallest common multiple of i and 14?
14
Let i be (-1)/(74/(-18) - -4). Let j = i - 7. What is the lowest common multiple of (j*-2)/((-4)/8) and 10?
40
What is the common denominator of ((-495)/189)/(-18*(-12)/(-63)) and 89/42?
504
Let g(t) = -12*t - 24. Let c be g(-13). Suppose -4*h = 2*x - 18, 0 = 4*h - x - 7 - 2. Calculate the lowest common multiple of h and ((-1)/(-3))/(2/c).
66
Let c be -1*-29*(2 + 401). Let f = c - 163735/14. What is the common denominator of f and 33/34?
238
Let s(z) = 5*z**2 + 16*z - 55. What is the smallest common multiple of s(5) and 135?
1350
Suppose -173 = -4*p - 145. Calculate the lowest common multiple of p and 10.
70
Suppose 0*f + 90 = -3*y + 4*f, 0 = 4*f. Let b = -2779/6 - -446. Calculate the common denominator of (37/(-5))/(12/y) and b.
6
Let v = 18 - 24. Calculate the common denominator of -35/18 and (-56)/v*(-2)/(-4).
18
Let q = -1200 + 6034/5. Calculate the common denominator of -5/29 and q.
145
Let g(y) = 3*y**2 - y - 2. Let b be ((-15)/(-10))/(9/(-60)). Let c = 8 + b. Calculate the least common multiple of 12 and g(c).
12
Let o be (-74058)/8 - (-1)/4. Let j = o - -111211/12. Let t = -8320/401 - 3/1604. Calculate the common denominator of j and t.
12
Let s(d) = -d**2 + 14*d + 2. Let r be s(14). Suppose 5*l - 13 = -w - 0*w, 0 = r*l - 3*w - 12. Calculate the least common multiple of l and 10.
30
Let i be -2*1/(-5196)*6/(-15). Let k = i + -166703/12990. Find the common denominator of k and 69/170.
510
Let d(q) = q**3 - 5*q**2 - 6*q + 6. Suppose -9*o + 12*o - 51 = -3*l, 5*o = -4*l + 76. Calculate the smallest common multiple of d(6) and l.
18
Let f = -349409/28 - -12383. Let w = f - -357/4. Find the common denominator of w and (-158)/(-12) + 0/1.
42
Suppose -3*l - 27 = -0*i - 3*i, 0 = i - 2*l - 12. Suppose 6*o = 3*o - i. Let k = o - -12. What is the lowest common multiple of k and 3?
30
Let x(d) = -d**3 + 11*d**2 + 14*d + 6. Let m be x(12). Find the common denominator of m/880*(-1 - 147) and 111/20.
220
Calculate the common denominator of -27/392 and ((-15)/(-110))/((28/(-144))/(-7)).
4312
What is the common denominator of (-403)/14 + (-36)/(-126) and 41/12?
12
What is the lowest common multiple of 14 and (-28)/(-3) - (-118)/177?
70
Suppose 0*i = -6*i - 558. Calculate the common denominator of 45/(-2)*3/(-5) and (-5)/(3 + 47)*i/(-2).
20
Let h = -2755/2 + 1332. Find the common denominator of ((585/52)/(-9))/((-1)/(-30)) and h.
2
What is the common denominator of (7494/720)/1 + -11 and -28/9?
360
What is the lowest common multiple of 30 and (-1573)/(-4) + (-57)/228?
3930
Suppose -t + 25 = 4*t. Suppose 46 = t*v - 4*a, 2 = 3*v + a - 29. Calculate the least common multiple of ((-33)/(-5))/(45/150) and v.
110
Let m be (-2258)/20 - 4/(-10). Let x = -120 - m. Calculate the common denominator of 43/8 and x.
8
Let k = 1161/416 + -267/52. What is the common denominator of 109/80 and k?
160
Let v(o) = -o**3 + o**2 + 10. Suppose 6 = 3*z + 2*y, 2*y = -5*z - 0*y + 6. What is the smallest common multiple of v(z) and 1?
10
Let a = 3376 - 189089/56. Find the common denominator of a and 27/8.
56
Let t(l) = -4*l**3 - 1. Let f be t(-1). Suppose 2*c - c - 8 = 0. Calculate the least common multiple of f/((-9)/4)*-6 and c.
8
Let u = 1 - -14. Suppose -2*d + 76 = -2*f, -4*d + 121 + 6 = f. Calculate the least common multiple of u and d.
165
Let t(b) = -9*b - 9. Let c(s) be the first derivative of -s**3/3 + s**2 + 5*s + 3. Let o be c(4). What is the least common multiple of t(o) and 18?
18
Suppose -3 = -j - 2. Suppose j + 31 = 4*t. Suppose 5*l = k + t, -4*l - 1 = -2*k - 5. What is the smallest common multiple of k and 10?
10
Let z(i) = i**2 + 0 + 7*i - 11*i - 14. Let b be z(6). What is the common denominator of b + -2*43/(-12) and -17/2?
6
Let c = -20 + 60. Suppose -11*j = -7*j - c. Calculate the lowest common multiple of 6 and j.
30
Let d = -3246/29 + 650099/5800. Find the common denominator of d and -33/10.
200
Let d = 101539/19 + -5347. What is the common denominator of d and -74/3?
57
Let h(r) = r**2 - 6*r - 18. Let s(b) = -b**3 + 11*b**2 - 7*b - 20. Let l be s(10). Calculate the lowest common multiple of 20 and h(l).
220
Let c = 543919/672 + -5657/7. Calculate the common denominator of 37/176 and c.
1056
What is the least common multiple of 38 and (36/63)/(-2) - (-114)/7?
304
Let k = -8352 - -200407/24. Calculate the common denominator of ((-189)/(-1890))/((-8)/(-25)) and k.
48
Suppose 16*s = 44*s - 140. Calculate the smallest common multiple of 6 and s.
30
Let i = -84086/11 + 32035963/4191. Calculate the common denominator of i and -76/21.
2667
What is the common denominator of 14/112 + (-241)/344 and 51/4?
172
What is the common denominator of -23/34 and (-44)/616 - 1947/378?
306
Let r = 75311/16 - 4710. Find the common denominator of r and 1687/(-140) - -6 - (-12)/20.
80
Let x = -3236 - -87395/27. Let p = 70576/21 - 3360. Calculate the common denominator of x and p.
189
Let l = -31199540 + 45676108469/1464. Let p = l + -29/488. Calculate the common denominator of -33/2