- 18 = 0. Calculate the least common multiple of 66 and o.
66
Let u = 1725/616 + -31/11. Calculate the common denominator of u and ((-90)/8 - -2) + -2.
56
Suppose 2*i + 9 = -3*j, 1 = 2*j - 3*j. Suppose 0 = -4*q - 16, 4 = 4*v - 16*q + 19*q. Calculate the lowest common multiple of 8 and -4 + -1 + v - i.
8
Suppose 0 = 24*q + 18 + 318. What is the common denominator of -52/51 and 1408/(-504)*-1 - 6/q?
153
Suppose 0 = 4*k + 3*i - 32, 4*i + 18 + 14 = 4*k. Suppose 121*g = 115*g + 72. Suppose l - g = k. What is the smallest common multiple of l and 22?
220
Let w = 67477/6 + -11238. Let d = -23695/5752 - 4/719. Calculate the common denominator of d and w.
24
Suppose 26*x + 29*x - 113 = 1152. Calculate the least common multiple of x and 5.
115
Let p(j) = -47*j**2 - 8*j - 4. Let a(s) = -16*s**2 - 3*s - 2. Let c(u) = 8*a(u) - 3*p(u). What is the lowest common multiple of c(2) and 28?
336
Let q be (90617/(-3) - 11/33) + 6. What is the common denominator of -143/162 and q/(-900)*(-2)/40?
810
Calculate the lowest common multiple of 4/(-2) + (483/(-92))/((-3)/240) and 418.
418
Suppose 2*r = -a - 2*r - 162, -2*a - r = 359. Let w be (-4 - a)/(1/2). Calculate the common denominator of (-4)/6 - w/(-24) and -65/4.
12
Let j = 569 - 604. Calculate the common denominator of (1 - 132/15)*j/1568 and -3/40.
1120
Let v = -4716637/48608 + 3008/31. Let m = -9700300383/1568 - -12372823/2. Let b = v + m. Find the common denominator of 83/32 and b.
32
Let d = -21 + 25. Suppose 4*s + 7 + 11 = -2*t, 5*s = d*t - 29. Suppose 35 + 20 = 11*b. What is the smallest common multiple of t and b?
5
Let d be (-5)/(-15)*(-17 + -1). Calculate the lowest common multiple of 42 and (-11 - d) + 171 + 5 + -3.
168
Let g be (-32)/(-48) - 175802/120. Let p = -1463 - g. What is the common denominator of p and -121/18?
180
Let r(z) = 56*z**2 - 168*z + 125. Let m be r(52). Let l = m + -37416907/262. Calculate the common denominator of 35/22 and l.
2882
Suppose 0*x = -6*x + 138. Suppose 5*k + 2*p + 26 = 0, k + 4*k + x = -p. Find the common denominator of -4 - (k - 177/(-9)) and -74/57.
57
Suppose 7*w = 8*w - 6. Suppose -5*i + 2*h = 6, -h = 2*i - 0*h + w. Calculate the common denominator of 30/12*11/i and -7/16.
16
Let l(d) = d**2 + 19*d + 25. Let w = -30 - -9. Let p be l(w). Suppose p = 3*o + 3*b + 7, 100 = 5*o - 2*b. Calculate the least common multiple of 18 and o.
180
Let d be 1 + 282 - (1 + (-1 - 5)). Suppose 15*q - d = 3*q. What is the least common multiple of q and 14?
168
Let r(n) = -n**2 + 7*n - 3. Let k be r(6). Suppose -k*m - 3*y - 1 = 11, -m + 3*y = 0. Calculate the common denominator of 131/12 and m + (-78)/(-112) - (-2)/2.
168
Let q(g) = 2*g**3 + 2*g**2 + 9*g + 6. Let z be q(-1). Calculate the common denominator of 83/22 and (-9)/(-270)*z*-27.
110
Suppose 0 = -s - 2, -4*d - 8*s + 13*s - 6138 = 0. Let m = d - -3007/2. Calculate the common denominator of -33/388 and m.
388
Suppose -2*w + 88 = -3*l + 728, -3*l + 4*w + 632 = 0. Let x = l - 174. Suppose o = -o - n + 55, -o = -5*n - 55. Calculate the least common multiple of o and x.
210
Let c(y) = 22*y**2 + 64*y + 144. What is the smallest common multiple of 14 and c(-8)?
7280
Let l = 12372 + -333986/27. What is the common denominator of 53/339 and l?
3051
What is the common denominator of (-13)/(-39312)*9*-41 and 31/6?
336
Suppose 6*s - 1708 = 2*s + 1012. Calculate the least common multiple of s and 102.
2040
Let s = 126 - 123. Let u(l) = 4*l - 4. What is the smallest common multiple of u(6) and (-184)/6*s/(-2)?
460
Let l = -657 - -657. Suppose z + 0*z + w - 20 = l, -2*z + 16 = -4*w. What is the lowest common multiple of z and 56?
112
Let o(u) = 114*u**2 + 336*u - 1010. What is the lowest common multiple of o(3) and 64?
1024
Let u = -800038/23 - -15672055/414. Let a = -3078 + u. Let s = 10906 - 174585/16. Find the common denominator of a and s.
144
Calculate the common denominator of -53/35 and (-437)/(-3927) + (81 - 81 - (-2)/(-22)).
19635
Let p = 218665/217896 + 22/9079. Calculate the common denominator of p and -151/600.
4200
Let y = 4336 + -4296. Suppose -5*t - b = -135, 92 + 5 = 4*t + 3*b. What is the smallest common multiple of y and t?
280
Let v(p) = -p**2 + 127*p - 3324. What is the common denominator of -5/7 and v(91)?
7
Suppose 0 = -5*h - 2*q - 1 + 7, 2*q + 12 = 4*h. Let f = 5 - 16. Let z(d) = -4*d - 12. What is the lowest common multiple of z(f) and h?
32
Calculate the common denominator of 1/(-2261)*(-41550)/1108 and 39/2584.
18088
Let r = 2857/10 + -836751/2930. Let u = 14059/12306 + r. Calculate the common denominator of u and 11/10.
210
Let c(p) = 2*p**2 + 88*p + 710. What is the lowest common multiple of c(-10) and 1955?
11730
What is the common denominator of 17/212 and (-342)/(-16)*((-8)/(-40))/((-3)/(-5))?
424
What is the common denominator of 29/979 and (3/(4806/15))/((-26)/(-663))?
3916
Calculate the common denominator of 64/32*(-1)/9*9/33 and 83/792.
792
Suppose 0 = -2*k + 1431 - 119. Let y = k + -462. Calculate the common denominator of (y/(-8) - -5) + -4 and 49/6.
12
Suppose -7*u + 3*u = -7*u. Calculate the least common multiple of 48 and 10 + (-2 - u/(9 - 4)).
48
Calculate the common denominator of (-37376)/(-4832) + -4*2 and 37/11.
1661
Let i(k) = k**3 - 14*k**2 + 5*k - 16. Let r be i(15). Calculate the common denominator of -57/10 and r/18*105/(-140).
30
Let f be 16/(-36) + (-7860)/(-2619). Let o = f - 18817/8536. Calculate the common denominator of -7/5 and o.
440
Let o(f) be the second derivative of 3*f**5/20 - f**4/4 + f**2 + 5*f. Let k be o(-2). Let r = k - -36. What is the least common multiple of r and 8?
8
Let w = -5171/8 - -108155/168. What is the common denominator of w and ((-33)/(-375))/(245/175)?
1050
Let h(p) = 14*p**2 - 30*p - 107. Calculate the lowest common multiple of 869 and h(-4).
2607
Suppose -29*f + 24*f + 155 = 0. Suppose 0*l - l + f = 2*m, -40 = -2*m - 4*l. Let v(d) = d**2 + d + 6. Calculate the smallest common multiple of m and v(0).
42
Find the common denominator of 2 + 4/(160/(-9)) and ((-426)/(-568))/(150/55).
40
Suppose -73 = -5*t + 32. Suppose -7*g + 0*g = -t. Suppose -u + 5*x + 9 = -g*u, 0 = 5*u - 2*x - 21. What is the smallest common multiple of u and 24?
24
Calculate the common denominator of (10/324)/(6/(-207)) and ((-2)/(-14))/(1656/21574) + 4/(-8).
108
Suppose 0*w + 17 = -2*c + w, 2*c + 4*w = -32. Let g be 7 + c + 1 + -89. Let p = -27 - g. Calculate the smallest common multiple of 18 and p.
576
Calculate the common denominator of (-6858)/(-20412) - (5/(-35) - 2/(-7)) and -53/945.
1890
Let l = -20/859 + 782629/3436. Let w = l - 225. Let o = -98/11 - -798/55. Find the common denominator of w and o.
20
What is the least common multiple of 20 and 5/10 - (-6 + 23/2) - -1883?
18780
Let r = 29209 + -29199. Suppose -24 = -2*q + 4*u, -4*q + 21 + 15 = -4*u. Calculate the least common multiple of q and r.
30
Let d = 15039/47 - 320. Let b = 137/2021 + d. What is the common denominator of b and 47/3?
129
Suppose 7*u + 31 - 59 = 0. Suppose 3*c - 5*c + 19 = -3*n, 2*c - 4*n - 22 = 0. Suppose -c*a - 9 = -14. What is the smallest common multiple of a and u?
4
Let x(h) = 4*h - 38. Let i be x(10). Suppose -7*s + 5*m = -9*s - 13, -2*m = -i*s + 8. Calculate the least common multiple of 18 and s.
18
Suppose -5*w = -2*n - 874, 179 = 29*w - 28*w - n. Let d(g) = g**3 - 4*g**2 + 4. Calculate the least common multiple of w and d(4).
172
Let j(i) = -i**2 - 26*i - 1. Let x = -25 - -30. Suppose d - 94 = 4*y - d, x*y - 4*d + 119 = 0. What is the smallest common multiple of j(y) and 10?
340
Let m be ((-20)/25)/(3/5)*3. Calculate the common denominator of 61/2 and (6/(-554))/(6/m).
554
Let m = 4076 - 8212. Let y = -470931/84656 - -2/5291. Find the common denominator of y and 8/(2560/m) - 12/(-15).
16
Let x = -470882049 - -38610606333/82. Let n = 20997 + x. What is the common denominator of n and -27/4?
164
Let z = -74665 + 6570621/88. Calculate the common denominator of z and 161/264.
264
Calculate the common denominator of -137/78 and 117 + -116 + (-2226)/2145.
4290
Let a = -2/13077 + -6233/414105. What is the common denominator of a and 139/228?
3420
Suppose 4*y = -1869 + 21637. Let t = 29531/6 - y. What is the common denominator of (-678)/452*(-160)/(-54) and t?
18
Calculate the common denominator of (-4272)/