 + (-1940)/(-192) and 17/72.
144
Let o = 215563/1127847 + -117/1249. What is the common denominator of -59/903 and o?
903
Let a = -1077/196 + 12/49. Let k be (0 + -2)/(((-2)/12)/1). Calculate the common denominator of a and -1 - (k/42)/((-12)/(-35)).
12
Let f = -113 - -324. Let g = -4444/21 + f. Find the common denominator of (-26)/4*(-4)/(-3) and g.
21
Suppose -77 - 3097 = -6*o. Let p = o + -455. Suppose -4*n - 4*b - b - 8 = 0, -2*n - 2 = 2*b. Calculate the lowest common multiple of p and n.
222
Let w = 2932 - 2904. Calculate the least common multiple of w and 592.
4144
Let m = -313 - -1231/4. Find the common denominator of (-411)/54 - -5*(6 - (-168)/(-35)) and m.
36
What is the common denominator of -29/704 and (-135875)/(-198000) - (-3)/(-4)?
6336
Let x(d) = -d**3 - 2*d + 4*d**2 - d - 7*d**2. Let r = 23 - 22. What is the lowest common multiple of r and x(-2)?
2
Let y = 1070 - 2091/2. Let v be 15/(-25) - 2724/(-4520). Let b = 35009/7910 + v. Calculate the common denominator of b and y.
14
Suppose -5*q + q + 1064 = 0. Find the common denominator of -1 + (-24)/(-28) + q/196 and 13/58.
406
Calculate the common denominator of ((-765)/(-120))/(3303/(-20)) and -53/2.
2202
Suppose 2*f = 293 + 517. Suppose 4*u - f = -3*r - 1, 5*u - 504 = -4*r. Let p = u + -66. What is the common denominator of p and 15/4?
4
What is the lowest common multiple of 1630 and (183/61)/((-3)/(-815))?
1630
Let l = -58 + 118. Let v = -16874 - -675053/40. Find the common denominator of v and 3/(-18) + 1015/l.
40
Let f = 336/23 + -90559/6210. Find the common denominator of 74/189 and f.
1890
Let c = 17 - 13. Calculate the common denominator of (-3045)/450 - ((-3)/(-3) - c) and 0 - (76/24 - 3).
30
Suppose 3446*z - 3436*z - 80 = 0. Calculate the smallest common multiple of z and 672.
672
Let o(t) = 2*t**2 - 4*t - 1. Let a be o(5). Suppose 0 = 8*m - a + 21. Calculate the least common multiple of 7 and m.
7
What is the smallest common multiple of 164 and 1/(-30) - (-25)/30 - 1232/(-35)?
1476
Suppose 3*q - 1004 = 3*v + 160, -5*q + 1944 = -3*v. Suppose -q = 8*c - 1286. Calculate the lowest common multiple of c and 176.
1232
Suppose -2*b = -7*b. Let j = 73 + -60. Suppose b = -k - j + 16. Calculate the lowest common multiple of k and 5.
15
Let b = 35 - 23. Let x(p) = -p**2 - 2*p - 1. Let u be x(-1). Let q = 2 + u. Calculate the least common multiple of q and b.
12
Suppose 4*b + 2*b - 2250 = 0. Let f = 471 - b. What is the smallest common multiple of 21 and f?
672
Let f = 76 + -76. Suppose 2*y = t - 24 - 0, f = -5*t + y + 93. Calculate the common denominator of 4/t - ((-1726)/576 - -3) and -73/10.
160
Suppose 0 = n + 1, 0 = -3*m + 6*n + 504 - 327. Suppose -4*j - 4*l = -28 - 12, 5*l - 32 = -2*j. What is the least common multiple of j and m?
114
Suppose -786 = -11*z - 643. What is the lowest common multiple of z and 1781?
1781
Let b = 1874 - 22637/12. Let y = -16771/27 - -623. Calculate the common denominator of b and y.
108
Let l(w) = 308*w - 1211. Calculate the lowest common multiple of l(4) and 246.
1722
Let s(b) = 4*b**2 - 112*b - 456. Calculate the least common multiple of s(-4) and (13 + 0)/((-1)/(-7)).
728
Let q = -1155337/7 + 164707. Let d = q - -129127/378. Let s = -9558 - -152851/16. Find the common denominator of s and d.
432
Suppose -h - 3*k + 15 = 0, 115 = 4*h + 3*k - 2*k. What is the common denominator of (-55)/h + (-4)/2 and ((-48)/60)/((-1)/(-14))?
30
Suppose 0*z + 4*x = 3*z - 40, z = -2*x + 10. Let a = 60 - 64. What is the smallest common multiple of z and 5 - ((-36)/(-3))/a?
24
Suppose 0 = y + 538 - 258 - 364. What is the lowest common multiple of y and 282?
3948
Let y = -587/7 + 2453/28. Let b = 19535 + -507985/26. What is the common denominator of y and b?
52
Let y(t) be the first derivative of -t**4/4 - t**3/3 + 3*t**2/2 - 176*t - 35. Let s be y(0). What is the smallest common multiple of 44 and s/(-20) - 8/10?
88
Let d(o) = 24*o**2 + 15*o - 28. What is the least common multiple of d(2) and 315?
4410
Let b = -1884 + 26323/14. Let q = -910621801/102782024 + 6018/25747. Let z = -1/998 - q. Calculate the common denominator of z and b.
56
Let y = -358 + 374. Suppose 0*r + 6*r - 72 = 0. What is the lowest common multiple of y and r?
48
Let h = 54 + -21. Suppose 2*k = -k + h. Let a = -728 - -731. Calculate the lowest common multiple of k and a.
33
Suppose -24 = -4*t, -6885 = -3*m + 14*t - 17*t. Calculate the smallest common multiple of m and 2943.
20601
Suppose 141036 = 161*b - 92*b. Calculate the least common multiple of b and 42.
6132
Suppose 0*m = -a - 4*m + 9, -5*m - 20 = -5*a. Let s = 12 + -10. Suppose -3*i + 120 = a*f, 5*f - 3*i - 140 = -s*i. What is the least common multiple of f and 18?
54
Suppose 0 = -4*t - 3*u + 3, 8 - 14 = 2*t + 4*u. What is the common denominator of 163/390 + (-1)/t and (-2)/7 + 260/224?
520
Let v(l) = 5*l**2 - l - 4*l**2 + 4*l. What is the smallest common multiple of v(-4) and (-114)/(-27) + (-10)/45?
4
Let m be -3*48*12/18. Let x = m + 240. What is the lowest common multiple of x and 88?
1584
Calculate the smallest common multiple of (-1)/(8/(-17512)) - -22 and 2211.
2211
Suppose 30 = -5569*k + 5574*k. Let i = -2 + 3. What is the lowest common multiple of 6 and 1 + i + k/1?
24
Let x(q) = -68*q + 72. Let t be x(5). Let k = t + 272. Calculate the lowest common multiple of k and 221.
884
Let u be (-38787735)/154 + (4 - 0). Let y = 2817357/11 + u. Let b = y - 4257. Calculate the common denominator of 17/8 and b.
88
Suppose 0 = 2*s - s - 4. Let z be 1859/6 + 35/(-42). Let d = -219 + z. What is the least common multiple of s and d?
180
Suppose -3*w - 7*w = -2520. Suppose 183*r - w = 179*r. Calculate the smallest common multiple of r and 45.
315
Suppose s = -s - 6, 5*s + 21 = 2*n. Suppose 42 = 5*j - 3*d, -n*d + 9 + 3 = j. Suppose -12*w = -j*w - 9. Calculate the lowest common multiple of 15 and w.
15
Suppose -3*j - 3*k = -25515, -j = -3*j + 2*k + 16998. Let n = j - 136087/16. What is the common denominator of 710/276 + 3/(-9) and n?
368
Let g = -27 + 31. Find the common denominator of 1196/60 + 3/(-5) and (426/96 - 5)*g/(-1).
12
Let v be ((-15)/135)/(2/(-66))*4059. Find the common denominator of -43/99 and ((-41)/v)/((-2)/114).
1089
Suppose -1247*l - 1008 = -1268*l. What is the least common multiple of l and 93?
1488
Let b(s) = 44*s**2 + s. Let k = 1143379/24 + -47635. What is the common denominator of b(-1) and k?
24
Let g = 7 - 5. Suppose -r + 15 = g*r. Suppose 4*a = -r*h + 25, -2*a + 4*a = 5*h - 55. Calculate the least common multiple of 10 and h.
90
Let b = 28801/4270 - -56/305. Calculate the common denominator of -43/6 and b.
42
Let c = 1/13498 + -165351/6749. Find the common denominator of c and -101/718.
718
Let w = -25/8 + -27/8. Find the common denominator of ((-125)/14)/((-48)/(-56)) and w.
12
Suppose 0 = -5*w + 4399 + 281. What is the lowest common multiple of w and 22?
10296
Suppose -5*a = 4*j + 1525920, 2*a = -3*a + 3*j - 1525920. Let n be 1/(-8) - (-243884)/a. Let t = n + 35/289. Find the common denominator of t and -125/12.
132
Let y = 726 - 721. What is the common denominator of 15/(-12)*y/((-6200)/(-66)) and -65/8?
496
Suppose 33 + 66 = -11*a. What is the common denominator of 213/36*a*(-1)/12 and 45/16?
16
Let h(n) = -5*n**3 - 20*n**2 + 2. Let k be 1 - -2 - 2 - -39. Suppose -p + k = 3*p. What is the lowest common multiple of h(-4) and p?
10
Suppose -29*k - 26*k - 32576 = -71*k. What is the least common multiple of k and 4?
2036
Suppose -45 = -5*k + 5*q, 0 = 516*q - 517*q - 5. What is the least common multiple of k and 27/72 + 186/16?
12
Let b = 770957/2641290 + 7/25895. What is the common denominator of b and -91/6?
510
Let o be (-1483834)/64 + -7 + 5. Suppose 0 = -24*i - 210553 + 767113. Let q = i + o. Calculate the common denominator of -42 and q.
32
Let j be ((-1092)/49)/(4/(-14)). Let c = -76 + j. Calculate the least common multiple of c and 1.
2
Let c = 561 - 551. What is the common denominator of (435/c)/(18 - 2) and 19/88?
352
Let s(w) = 1908*w - 3. Let c be s(-3). Let f = c - -57161/10. Let b = -856 + 4326/5. Find the common denominator of b and f.
10
Suppose -125*o - 5*m - 5351 = -127*o, -o - 5*m + 2653 = 0. What is the smallest common multiple of o and 52?
34684
Let s be (-2)/(-4)*(-37 + 9). What is the common denomin