
What is the lowest common multiple of 583 and (-424764)/(-891) + 9/33?
5247
What is the smallest common multiple of 2 and (-31 - -8)*(-15 + -8 + -9)?
736
Calculate the common denominator of ((-14)/18)/(-7) - 1675/2250 and 151/312.
1560
Let r(s) = -313*s + 635. Calculate the least common multiple of r(2) and 7306.
65754
Suppose 4*a - 40 = -16. Let i(o) = o**2 - 2*o + 2. Let n be i(1). Calculate the least common multiple of (3*n)/((-42)/(-280)) and a.
60
Suppose 15 = 3*m - 45. Find the common denominator of (-121)/m + -33 + 35 and 23/12.
60
Let f = -22160 + 38006. What is the least common multiple of 18 and f?
47538
Let v = 273/571 + -108311/34260. Let m = 1306517/8 + -163311. What is the common denominator of m and v?
120
Let w = -546 + 998. Let c = w - 425. Calculate the least common multiple of 2*(9/2)/1 and c.
27
Let j = 15225 - 14109. What is the smallest common multiple of j and 8?
2232
Suppose -5*v - 2276 + 2636 = 0. What is the least common multiple of 342 and v?
1368
Suppose -10*o = 215 + 215. Let k = 91 + o. Calculate the lowest common multiple of k and 36.
144
Let b = 562 - 1148. Let y = 595 + b. What is the lowest common multiple of 72 and y?
72
Suppose 240 - 212 = 7*v. Suppose i - 5*i - 20 = 0, -i = v*s - 303. Calculate the smallest common multiple of s and 126.
1386
Let m be (-8)/(-2) + (-4 - (-4 - 2)). Let w be m/12*(2 - 1 - 1). Let o(y) = 2*y + 6. Calculate the least common multiple of 16 and o(w).
48
Let y(o) = 355*o**2 + 6*o - 26. Let n be y(4). Let w = 45483/8 - n. Find the common denominator of w and -97/10.
40
Let s(z) = -204*z + 18. Calculate the smallest common multiple of s(0) and 9826.
88434
Let h = -7/23032 - 306215/53411208. What is the common denominator of h and -37/21?
16233
Let m be 4/(-6) - ((-30141)/(-27) + -9). Calculate the common denominator of m/616 + 12/21 and 95/34.
374
Let o be (-10349)/(-248) + (-10)/(-16) + -1. Let t = -38655/868 + o. Find the common denominator of t and -35/38.
532
Let x(t) = 2*t + 4. Let k be x(-5). What is the common denominator of (9 - 23/12) + (-2 - -1) and (68/(-96))/((-2)/k)?
24
Suppose y + 4*y = 0. Let r be 7/(-21) + (1 - (-28)/3). Suppose -r*c + 10 = -y. What is the smallest common multiple of 4 and c?
4
Suppose -69090 = 1976*d - 2046*d. What is the least common multiple of 28 and d?
3948
Let o = -34230 + 19389. Let v = 177947/12 + o. Calculate the common denominator of v and 14/3*30/88.
132
Suppose -41*d + 93*d + 173*d = 5175. What is the least common multiple of d and 42?
966
Suppose 2*z - 5*z + 95 = -4*q, -q = z - 41. Suppose 5*r = o + 39, -5*o = 4*r - 0*o - z. Let t = -7228 - -7238. What is the smallest common multiple of r and t?
40
Suppose -26 = -3*v + 34. Let k(n) = 9*n - 230. Let g be k(36). Suppose -5*r - 2*w = -g, -109 = 3*r - 8*r + 3*w. What is the lowest common multiple of v and r?
20
Suppose 3*j + 668 + 394 = 0. Let k = j - -2431/7. Calculate the common denominator of 69/10 and k.
70
Let u = -3564 + 3592. Suppose -3*g + 4*p + 0*p + 312 = 0, -4*g = -3*p - 409. What is the lowest common multiple of u and g?
700
Suppose 0 = 3*p - x - 243, -x = 2*x. Find the common denominator of -37/20 and (-54)/p*(98/(-184) + -1).
460
Suppose n - 16*b - 974 = -13*b, 0 = -5*n + 4*b + 4815. Calculate the least common multiple of n and 411.
2877
Let h(q) be the third derivative of -q**4/6 - 11*q**3/2 + q**2. Let f be h(-8). Calculate the common denominator of (f/(-3))/(560/42) and 43/40.
40
Suppose 0 = -i + 7*i - 12. Suppose -6*m = -i*m - 364. Suppose 52 = 3*d - 2*v - 3*v, -4*v - m = -5*d. Calculate the lowest common multiple of d and 8.
152
Let d = 32533/2334 - 41/389. What is the common denominator of d and 1/1247?
7482
Suppose -179*h + 68875 + 200593 = 26207. What is the smallest common multiple of h and 2718?
2718
Let c be 48/40 - ((-4)/10)/(-2). Calculate the common denominator of c + (-199)/40 + 5 and 47/5.
40
Suppose 9*h + 128 = 146. Suppose -4*k = 12, 2*q - h*k - 18 = 68. Calculate the lowest common multiple of 48 and q.
240
Let z = 25623115/66 + -776459/2. Let o be (-1)/3 - 652/(-6). Let x = o + -106. What is the common denominator of z and x?
33
Let c = 71 - -91. What is the common denominator of 1472/2048*(-1 - 0) and (-6)/24 - c/(-16)?
32
Suppose 0*l - 2*l + 2*p + 24 = 0, 4*l = -p + 63. Suppose -4*v + 10 + 351 = 5*f, -3*f = -15. What is the lowest common multiple of v and l?
420
Let p = -3363 + 3608. What is the least common multiple of p and 735?
735
Let w(f) = f**3 + 6*f**2 - 7*f + 4. Suppose 2*m + 4*n + 425 = 697, 2*m + 3*n = 266. Calculate the least common multiple of w(-7) and m.
124
Let j(h) = 773*h + 741. What is the least common multiple of 38 and j(0)?
1482
Let y(a) = 10*a - 14. Let u be y(2). Let b = -13593 + 298965/22. Find the common denominator of b and ((-1558)/(-570))/(4/u).
110
Let p = 509 - 670. What is the common denominator of 25/86 and (p/36 - (-48)/12)*-3?
516
Suppose 2*q - 190 = 21*q. Calculate the lowest common multiple of 55 and (-347)/q + (-9)/(-30).
385
Calculate the common denominator of 125/276 and (33/4)/(-23*6/20).
276
Suppose 44 = 2*f - 4*n, -292*n + 295*n = 15. Calculate the least common multiple of 680 and f.
2720
Let a = 16 - -25. Let y = a + -117/2. What is the common denominator of 3/(-90)*(-2910)/(-12) and y?
12
Let v = -1216 - -72947/60. Calculate the common denominator of -37/270 and v.
540
Suppose 2*t - c = 4*c + 605, 2*c - 1585 = -5*t. Find the common denominator of -41/112 and ((-66)/(-32))/(t/(-270)).
112
Let w be 1130/72 + (-8)/(-36). Let v = w + -23/3. Let a = -62/433 + 1563/50228. Find the common denominator of v and a.
116
Let j = -6 - -15. Suppose 33*m + 68*m - 6840 + 780 = 0. What is the least common multiple of m and j?
180
Let s = 691/3948 - -1/282. Find the common denominator of s and -107/76.
532
Let f = -175387/32 - -5481. What is the common denominator of 53/11 and f?
352
Let b be -5 + (-1)/(-6) + 42/(-36). Find the common denominator of 17/6 and (b - 122/(-20))/(42/(-1095)).
84
Let k = 124110/13 - 60813211/6370. Find the common denominator of k and 3/385.
5390
Suppose n - 2*n - 5*m + m = -3*m, 18 = -3*m. Let p(s) = s**2 + 4*s - 2. What is the least common multiple of p(-5) and n?
6
Suppose -b - 2 = 0, 5*k + 0*b + 5*b - 20 = 0. Suppose l - k - 5 = -5*a, a - 3*l = -1. Find the common denominator of (a/(-4))/(22/(-122)) and -79/14.
154
Suppose -8*g + 209 = 17. Calculate the smallest common multiple of (-18)/10*(-9 + 56/g) and 224.
672
Let m = -128 + 162. Calculate the smallest common multiple of 8 and 24/(-5)*(-1615)/m.
456
Suppose 0 = -3*g + 8*q - 10*q + 270, -4*g - q + 350 = 0. What is the smallest common multiple of g and 116?
4988
Suppose 23563 = -5*j + 2*r, 3*j - 4*j - 4707 = r. Let s = j + 28145/6. Calculate the common denominator of s and -149/54.
54
Let f be 0/2 - (3 + -217). What is the common denominator of (-3 - (-600)/f)*1 and -59/2?
214
Let f be -5*(-9)/30*(-2)/(-3). Let b be -3 + -1 - -9 - (1 + f). Suppose b*x + 3 = j, -20 = -x - 3*x. What is the lowest common multiple of j and 16?
144
Let r = 208 + -46. Suppose r = -67*d + 73*d. Let h = -13 + 22. Calculate the lowest common multiple of d and h.
27
Suppose -48*s + 53*s = 15. Suppose 2*m + 154 = 3*v, -5*m = -4*v + 5*v - 23. Calculate the least common multiple of s and v.
48
Let f be 2740/(-385) + (-19)/(-7) + -3. Let o = f + 13693/924. Calculate the common denominator of o and ((-2)/3)/((-34)/93).
204
Suppose 0*u - 132 = -g - 2*u, 3*g - 5*u - 363 = 0. What is the common denominator of 67/12 and (-1)/(-35)*(1506/g + -6)?
588
Let y(h) = 103*h. Let g be y(1). Let l = g + -53. Calculate the lowest common multiple of 14 and l.
350
Let a be 6/(-15) + (-1662466)/160. Let u = 10387 + a. Let d = -487/580 + -125/29. Find the common denominator of u and d.
80
Let l be 38/14 + 4/14. Suppose -l*c + q + 221 = c, -5*q = 2*c - 105. Let k = -46 + c. What is the lowest common multiple of k and 8?
72
Let w be -8 + 5 + 182 - (-1 - -2). Let f = -84 + w. Find the common denominator of 46/13 and 2*f/24 + -4.
78
Let c be ((-9)/(63/(-28)))/1. Suppose c*x - 15 - 25 = 0. Calculate the smallest common multiple of x and (-2 + -9)/((-3)/6).
110
Let j = 1628 + -882. Let d = 5907/8 - j. Calculate the common denominator of 32 and d.
8
Let v be ((-2412)/15)/(1*8/(-20)). Let k = -392 + v. 