
54
Let b be (8/16)/((-2)/(-96)). Find the common denominator of -2*(-286)/b - 3 and (-468)/66 + 0 + 8.
66
Let l(h) = -8*h - 8. Let k(b) = -b**3 - 3*b**2 + 19*b - 15. Calculate the smallest common multiple of l(-6) and k(-7).
240
Suppose -g + 0*g = -5*w - 1918, -6 = 3*g. Find the common denominator of -2 + 0 - (-285)/42 and (-24)/w - 5/2.
112
Calculate the common denominator of (-68)/(-1020)*((-3)/6 + 290/(-52)) and 71/585.
585
Suppose f - 5*s - 35 = -0*f, 2*s + 26 = f. What is the lowest common multiple of f and (-7)/((-28)/20) + 163?
840
Let i be ((-2)/(-1) - -6) + 4. Suppose -2*x + 4*l - i = 0, -3*x + 5 = 2*l - 9. What is the lowest common multiple of (-2)/(-1) - (-43 - -42) and x?
6
Let t = 6256 + -68803/11. Find the common denominator of t and 24/385.
385
Suppose 12 = 2*b - 5*b, 0 = -5*m - 4*b + 394. Suppose 0 = -3*t - 4*f - 35 - m, 4*f - 184 = 4*t. Find the common denominator of 44/29 and t.
29
Suppose 42*o - 16218 - 13591 = 29537. Calculate the smallest common multiple of o and 2355.
7065
Let x(z) = 9961*z - 9966*z + 3*z**2 - 4 + 0. Calculate the least common multiple of 6 and x(6).
222
Suppose 23*z - 9350 = -4*z + 16*z. Calculate the least common multiple of z and 17.
850
Let p = 16 + 8. Suppose 0 = 3*c + c - p. Suppose -3*l + 44 = -l. What is the least common multiple of c and l?
66
Suppose -4*f = 3*x + 63, -5*f - 25 = -3*f - 5*x. What is the lowest common multiple of ((3 + 0)/(-3))/1*f and 30?
30
Find the common denominator of 11/5200 and 11 - (3971/154 + -9).
36400
Let p = -10736 - -64559/6. Let j = 10961/594 - 568/33. Calculate the common denominator of j and p.
54
Let f = 42114409/364 - 115699. Find the common denominator of f and -87/224.
2912
Let n = -1082153/11172 + 3689/38. What is the common denominator of -37/28 and n?
588
Let a(i) = -16*i**2 - 6*i + 8. Let c be a(-7). Let m be 141/9 + 24/(-36). Calculate the common denominator of 3/m - c/(-20) and 15/11.
22
Suppose 3*x + 2765 = 2*w, 2771 = 2*w - 9*x + 12*x. What is the least common multiple of w and 16?
2768
Let n be -1 - -4*10/5. Suppose 0 = -3*x + h + 10, n = -3*x + 5*h + 9. Calculate the smallest common multiple of -1 + 0 + 0 + 12 and x.
44
Suppose 153 = -7*x + 24*x. Let f(u) be the third derivative of -u**4/24 + 2*u**3 - 2*u**2. What is the least common multiple of f(x) and 14?
42
Suppose -16*z + 3521 = -7327. What is the lowest common multiple of z and 24?
2712
Let j = -452023 - -452051. Let c = -27 - -47. Calculate the least common multiple of j and c.
140
What is the common denominator of -77/12 and (-11618)/518*7/30?
60
Suppose 0 = -76*r + 80*r - 56. Let p = 28 - 24. Suppose 2*y + 0*y = -z + 125, -3*y = -p*z - 204. What is the smallest common multiple of y and r?
448
Let z = -3/872 - 3977/436. What is the common denominator of z and 2226/(-140) + 16*3/6?
40
Let g = -235331 - -947281/4. Let d = g + -1468. What is the common denominator of -19/2 and d?
4
Let v(d) = -7*d**2 - 122*d - 39. Let w = 19 - 17. Suppose w*r + 5*m = 64 - 7, -5*r + 5*m + 195 = 0. Calculate the least common multiple of v(-17) and r.
36
Suppose -1678 = -6*d + 2858. Calculate the smallest common multiple of d and 756.
756
Let n be 156443/11928 + (-4)/6. Let j = 165/71 - n. Find the common denominator of (-1309)/4312 - 6/(-14) and j.
8
Suppose 2*z = -5*i + 15 + 5, z + 5*i - 20 = 0. Suppose 2*x - 18 = -x. Suppose 3*a + x = z, -4*k = 2*a - 19 - 57. What is the lowest common multiple of 20 and k?
20
Suppose 4*j + 11 + 1 = 0. Let y = 640 + -530. What is the lowest common multiple of y and 0/j - (-23 - -1)?
110
Suppose 1137 = 35*y - 998. Let u = -12 + y. Calculate the least common multiple of u and 147.
147
Find the common denominator of (-2)/7 - 244/126 and (-58)/(-12) + 3*34/(-17).
18
Let j be -3*(-1)/((-9)/(-6)) - -6. Suppose -j*r + 66 = 3*r. Calculate the least common multiple of r and 184.
552
Let a be (4/5)/((-6)/45*3). What is the common denominator of a/(-1) + 79/(-12) and (-2)/9 - 710/(-360)?
12
Suppose -17*x - 16 = -k - 22*x, -4*k + 2*x = 2. Calculate the lowest common multiple of (3/(-2))/(3/(-1752)*4) and k.
219
What is the least common multiple of 1127 and (-8823)/(-18) + 94/(-564)?
11270
Let f = -18830 - -1016851/54. What is the common denominator of f and 83/1654?
44658
Suppose 333*f - 6 = 335*f. Calculate the smallest common multiple of (560/f)/(-7)*(-24)/(-20) and 16.
32
Let p = -3 + 17/5. Let s(d) = -d**3 - d**2 + 3*d - 6. Let c be s(-3). What is the common denominator of p and c - 324/32*(-2)/(-6)?
40
Let d = 177229828075/88 + -2013937937. Let j = 37381 - d. Find the common denominator of j and -81/44.
88
Find the common denominator of -55/344 and 4/(-18) + ((-11011)/(-528))/(-77).
6192
Let y = -3427477/933966 - -1760/477. Calculate the common denominator of 133/6 and y.
5874
Let b(h) = -h + 7. Let q be b(8). Calculate the common denominator of 4/7 + (-9553)/(-2870) and (-521)/(-84) - 4 - q/3.
140
Let t(v) = -2*v**2 + 151. Let u be t(0). Suppose 20*g - 229 - u = 0. Calculate the least common multiple of g and 11.
209
Suppose 0 = -2*d - 0*d + 1732. Suppose 319*m - 1680 = 109*m. Calculate the least common multiple of m and d.
3464
Let s be (-11695)/2790 - 0/(-2). Let p = 2050 - 63599/31. Let d = s - p. What is the common denominator of d and 119/12?
36
Let g = -3/1100 - -1996/825. Let z = -3/97 + -413/2328. What is the common denominator of z and g?
24
Let l be ((-10365)/90 - 5) + -2 + 13/6. Let j = 297 + -174. Let y = l + j. What is the smallest common multiple of 6 and y?
6
Let c be (-24)/18*(-9)/4. Suppose 6*w - 4*w + 14 = 2*v, -5*w = c*v - 29. What is the smallest common multiple of v and 226?
904
Let u = 3928 + -43177/11. What is the common denominator of u and 7*(-2 + 213/103)?
1133
Suppose -127*c + 260*c + 143*c = 1380. Calculate the lowest common multiple of c and 477.
2385
Let d(l) = -7*l**3 - 567*l**2 - 3*l - 183. Suppose 0 = 4*s - 9 - 171. Calculate the least common multiple of d(-81) and s.
180
Let v = -15267 - -15302. Calculate the smallest common multiple of v and 3295.
23065
Let g be -1 - ((-3 + -3)/2 + 3). What is the smallest common multiple of ((-432)/(-15))/(g/((-80)/12)) and 24?
192
What is the common denominator of -45/658 and (-4142)/(-75012) + (1 - 18/14)?
1974
Let o(c) be the second derivative of -c**5/10 - 2*c**4/3 - c**3/2 - 2*c**2 + 36*c. What is the least common multiple of -14*((-1)/2 - 0) and o(-4)?
56
Let w(i) = -i**3 + 35*i**2 + 34*i + 91. Let q be w(36). Suppose -27*v = -q*v - 1736. What is the smallest common multiple of v and 21?
651
What is the common denominator of 37/110 and (233/(-699))/(5654/246)?
28270
What is the common denominator of (111/(-8))/((-30)/(-24)*4) and (15/(-100))/(6/4)?
40
Suppose 79*d + 293706 = 373*d. Calculate the lowest common multiple of 66 and d.
21978
What is the lowest common multiple of 319 and (-3)/(-9)*684/190*10/6?
638
Suppose -3*v - 304*s + 243 = -305*s, 2*s + 18 = 0. What is the smallest common multiple of v and 52?
156
Let j = 1154953/70 + -16499. Calculate the common denominator of -133/48 and j.
1680
Let h = -1476248/3780623 - -534/1327. What is the common denominator of -109/2442 and h?
17094
Suppose 3*k - o - 19 = -0*o, -5*o + 25 = 0. What is the common denominator of 31/72 and ((-210)/(-135))/(k/28)?
72
Let s = 51014 - 253347/5. Let w = s - 348. What is the common denominator of w and -68/55?
55
Suppose -341*r + 342*r - 13821 = 0. Let v = r + -373097/27. What is the common denominator of (-43)/9 - (-2)/4 and v?
54
Let l(u) = 466*u + 1009. Calculate the lowest common multiple of l(-2) and 35.
385
Let z be 6/21*-1 - (-25175)/35. Let v = z + -687. What is the lowest common multiple of v and 4?
32
Let w = 814 - 185. Suppose w = 20*o + 189. Let c = -7 + 23. What is the smallest common multiple of c and o?
176
Let k = 72961/40 - 1825. Find the common denominator of 73/200 and k.
200
Let w be 1/(-2)*(-14426050)/3013725. Let b = -10/6837 - -50204/24975561. Let v = b + w. Calculate the common denominator of 16/3 and v.
33
Suppose 8 = 5*j - 7. Suppose 2*g = -m + 28, j*m - 111 = 4*g - g. Find the common denominator of -44/9 and (-3 + 2)*m/22.
99
Suppose -n + 264 = 2*n. Let u = 34126 - 34016. Calculate the lowest common multiple of n and u.
440
Calculate the common denominator of 2294/148*(3/(-57)*21 + 1) and 29/1748.
1