68414820 + 4329/120397. Let x = y - -89/85. What is the common denominator of -67/18 and x?
36
Let q = -2540441/90 + 28228. Find the common denominator of 79/1053 and q.
10530
Suppose 2*g - 11890 = -3*g. Let v = 6841187 + -123184189/18. Let w = g + v. Calculate the common denominator of -19/7 and w.
126
Let y(d) = -d + 33. Let c be y(-9). Suppose 5*t + 2*n = 589, 4*n = -2*t + c + 200. Let q = 119 - t. What is the smallest common multiple of 18 and q?
18
Let k = 179 - -10056. Let n = k - 921187/90. Calculate the common denominator of 7/90 and n.
90
Suppose 0 = 17*f + 55 - 21. Let s(j) = -2*j**2 - 15*j - 10. Calculate the smallest common multiple of 48 and s(f).
48
Calculate the common denominator of 91/10 and 76/190 - (4 + ((-7846)/2460 - 0)).
1230
Let f be (11/(-132))/((-477)/192). Let s = 2390/1431 + f. Find the common denominator of s and -74/33.
297
Let q = 4966 + -4234. Calculate the least common multiple of 32 and q.
5856
Let u = 1747 - 1743. Calculate the smallest common multiple of 30 and u.
60
Let b = -168 + 186. Suppose 0*d - 160 = -4*d. Suppose -16*x = -b*x + d. What is the smallest common multiple of x and 50?
100
Suppose -9*z + h - 2772 = -11*z, 5544 = 4*z + h. Calculate the lowest common multiple of z and 198.
1386
Let o be 3066/15 + (-72)/(-45). Let i = -831/4 + o. What is the common denominator of (-4)/18 + (-145)/(-126) and i?
28
Let i(s) = 45*s - 43. Let j be i(1). Suppose -4*b - b = -15. Suppose -6*k - t = -2*k - 52, b*t = j*k - 12. What is the lowest common multiple of 6 and k?
12
Let r = -98555/792 - -1370/11. Find the common denominator of r and -29/72.
792
Suppose 0 = 5*f - 15*f - 630. Calculate the common denominator of (-1 + (-4)/(-19))/8 and ((-7)/6)/(f/(-7) - 6).
1368
Let s = -304964546/12045 - -126594/5. Find the common denominator of s and 133/438.
4818
Let y = -588635 + 197781509/336. What is the common denominator of 199/210 and y?
1680
Let r = -3915560/300631321 + 6/114701. Calculate the common denominator of -99/8 and r.
20968
Let i = -280152/2486171 + 186/2999. Calculate the common denominator of 63/5 and i.
4145
Let o = -18474 + 665131/36. Let p = -1235803/30 - -82375/2. Calculate the common denominator of o and p.
180
Find the common denominator of -70/3 and (-283578)/(-17712) + -9 + -7.
2952
Let h = 737/161 - 1528/23. Let r = h - -4289/63. Calculate the common denominator of r and (62/7)/(6/(-14)).
9
What is the common denominator of -2/5 and (1 - 4787/4688)/(546/28 - 22)?
11720
Let l = -52 - -50. Let y = 68 - 22. What is the common denominator of (l/40)/(-2*(-12)/(-2464)) and y?
15
Let f = -12467 - -37367/3. Calculate the common denominator of f and 58/1749.
1749
Let i = 167 - 663/4. Let l = 43231/30 + 247/15. Let t = -1423 + l. Find the common denominator of t and i.
4
What is the smallest common multiple of 1267 and (-16)/1 - (-242223)/263?
6335
Let o = -1638349/79128 + 3213/157. What is the common denominator of -139/24 and o?
504
Let l = 1263771/1168090 - 1/10619. Find the common denominator of -41/70 and l.
770
Calculate the lowest common multiple of 26 + 6*(-2)/3 and 1 + -2 + 1 + -171 + 173.
22
Let l be 3/((18/(-27))/(8/18)). Let p = 62 + l. What is the smallest common multiple of p and 132?
660
Let z = 625 - 437. Calculate the common denominator of 1 - ((-472)/z + 3) and -21/8.
376
Let p(r) = 2*r**3 - 76*r**2 + 41*r - 242. Calculate the smallest common multiple of 752 and p(38).
5264
Find the common denominator of (8/8448*268)/(3/(54/24)) and 69/440.
1760
Let s = 53 + -54. Let q be ((-3)/6)/(s/(-4)). Find the common denominator of ((-35)/40)/(1/13*q) and 59/4.
16
Let x be 1/(3 + 2136/(-714)). Calculate the common denominator of (31/(-7))/(340/x) and (-1 - -2) + (-142)/12.
60
Let t be (6271/16 - -1)*420/(-315). Let w = -522 - t. Calculate the common denominator of -77/20 and w.
60
What is the common denominator of (-2 - (-417)/210)*4526/657 and -71/1260?
1260
Let t = -11397773326/8715 + 1307834. Calculate the common denominator of 28/33 and t.
95865
Let g = 10892 + -10806. What is the smallest common multiple of 8 and g?
344
Let d be 8/(-20)*(14 + 1). Suppose 0 = -i - 3*x - 15, 4*i - 4*x + 41 + 35 = 0. Find the common denominator of (d - 171/(-30))/(i/445) and -77/36.
36
Let c = -6495 - -6756. What is the smallest common multiple of c and 87?
261
Let q = -13/392 - 2369/1176. Let u = -20687/2481 - -4/827. Calculate the common denominator of q and u.
21
Let c = -2038 + 2050. Calculate the lowest common multiple of 140 and c.
420
Let p = -595526/1024905 + 1/9761. Calculate the common denominator of p and -6/343.
5145
Calculate the common denominator of 12 + -12 + (-1 + -72)/(-1593 + 1) and -101/2388.
4776
Let m(r) = 2*r**2 + 44*r + 256. Calculate the least common multiple of (1 - (-3184)/4) + 1 and m(-10).
6384
Let h = -17 - -27. Calculate the common denominator of (822/15)/(132/55) and 35/2*(-2)/h.
6
Let z = -660 + 658. Suppose -3*m + 2*d - 255 = 810, -3*m = 4*d + 1065. What is the common denominator of ((m/7)/(-5))/(z + 4) and 109/14?
14
Find the common denominator of (-10 - -6) + ((-26)/(-65) - 8983/(-2530)) and -127/230.
2530
Calculate the common denominator of (-1598)/6384 - (18 - 219/12) and 69/2.
3192
Suppose 360 - 8 = 5*j - f, -8*j + 3*f + 552 = 0. What is the least common multiple of j and 24?
72
Suppose -32 = -76*n + 1032. What is the lowest common multiple of n and 12824?
12824
Let u(k) = -k**3 - 29*k**2 - 9*k + 53. Let c be u(-20). Let x = -26883/8 - c. What is the common denominator of x and -79/172?
344
Let d(c) = -c**2 + 36*c + 117. What is the smallest common multiple of d(34) and 1?
185
Let l = 156 + -135. Suppose 14*b = l*b - 168. What is the lowest common multiple of 76 and b?
456
Let w(u) = -u**3 + 27*u**2 - 6*u + 228. Calculate the smallest common multiple of w(27) and 1892.
5676
Suppose 5 = -5*b, 0 = 3*z + 4*b + 427274 - 124351. Let t = z - -13126411/130. Find the common denominator of t and -19/4.
260
Let t(y) = -87*y + 5. Let h be t(3). Let m = h + 175. Let u = m + 83. Calculate the smallest common multiple of u and 8.
8
Suppose -106*l + 1332*l = 9808. Let r(k) = -2 + 0*k**2 + 2*k - 2*k**2 + 3*k**2. What is the lowest common multiple of r(-4) and l?
24
Suppose -1207 = -6*x - 439. Suppose -x*b + 350 = -123*b. Calculate the smallest common multiple of b and 50.
350
Let n be (1065/(-6))/(57/190). Let y = -2353/4 - n. Calculate the common denominator of -38/9 and y.
36
Suppose -t - 4 = y, -2*y + 0*y + 2*t - 20 = 0. Let p be (-25)/3 + (-54)/81. Let j = y - p. What is the lowest common multiple of j and 6?
6
Let k = -3 + 13. Let a = -3583 - -3653. What is the lowest common multiple of k and a?
70
What is the lowest common multiple of (6923 + 7)/11 + -2 and 6?
1884
Calculate the common denominator of 7/189*-1*(-867)/34 and 8/2037.
12222
Let x = -1868/53 - -850457/24062. Find the common denominator of x and 1/22.
4994
Let d(a) = 22*a. Let u = 133697 - 133657. Calculate the least common multiple of u and d(2).
440
Let v be (1/(-1474))/(24/(-132252)). Let h = -3/268 + v. Find the common denominator of (-413)/(-40) - 11/55 and h.
88
Let a(x) = -50*x + 870. Calculate the least common multiple of a(17) and 10.
20
Suppose -72 = -0*l - 3*l. Let c(y) = 10*y**2 + 177*y - 181. Calculate the least common multiple of c(-20) and l.
2232
Suppose 2*g + 183 - 191 = 0. Suppose -4*a + i + 354 = 0, 96 = g*a + i - 254. Calculate the least common multiple of 48 and a.
528
Find the common denominator of 21/260 and ((-354)/60 - -1)*((-72)/78 + 1).
260
Let z = -483/2 + 246. Suppose 0 = -4*t + v, 5*t = v + 2 - 1. Calculate the common denominator of z and t/4 - (-3850)/968.
22
Suppose -h - s - 50 = -2*s, 0 = 4*h + 4*s + 168. Let t = -38 - h. What is the lowest common multiple of 14/1 + (6 - 8) and t?
24
Let m(j) = -j**3 - 159*j**2 + 484*j - 315. Let s = -630 + 1001. Calculate the least common multiple of s and m(-162).
3339
Let k = -12 + 19. What is the smallest common multiple of (-6)/(3*k/(-84)) and 2/(-5) - 96/(-15)?
24
Let k = -193693886827 + 53127715136257397/274287. Let r = -242/507 + k. Let v = -27809/25968 - r. What is the common denominator of v and -11/8?
48
Let g(r) be the first derivative of -19*r**2/2 - 258*r + 15. What is the least common multiple of 344 and g(-14)?
344
Let s = -14 + 56. Let t b