b. What is the least common multiple of 2/(-14 - -15)*(4 - 1) and b?
42
Let r(a) = 2*a**3 + a**2 - 2. Suppose 2*m + 4*t + 8 = 0, 3*m - 6*m = t - 3. Calculate the least common multiple of r(m) and (3 - (-8)/(-2))*-7.
126
Let l(f) = f**3 - 3*f**2 - 31*f - 70. Let q(n) = -n**2 + 3*n - 3. Let u be q(6). Calculate the lowest common multiple of l(8) and u/(-4 - -1)*1.
14
Let g be (-691)/(-12)*(58 + -12). Let y = g - 2636. Find the common denominator of y and 13/2.
6
Let u = 20561771/3468 - 5929. Let y = u - 87277/3468. Let b = -39397/10 - -3944. Find the common denominator of b and y.
30
Let j = 258 + -78. Calculate the least common multiple of ((-400)/(-15))/(424/(-48) + 9) and j.
1440
Let l(u) = 2070*u - 10348. What is the lowest common multiple of l(5) and (-1)/2*(-57 - 1)?
58
Suppose -4*i - 18 + 59 = 3*w, -3*w - 3 = 0. Let j = i - 8. Suppose -j*m - 3 = -2*m, 2*o - 2*m = 18. What is the least common multiple of o and 26?
78
Calculate the common denominator of (-37793)/(-7350) + -2 + -3 and -99/28.
2100
Let o = 697837/286 - 2440. Find the common denominator of o and 103/138.
19734
Suppose -5*n - 63 = -2*k, 3*n + 19 = k - 11. Suppose 2*w = 4*b - b - 62, b - 39 = -3*w. Let h = k - b. What is the smallest common multiple of 24 and h?
120
Let h = 22267 + -21664. What is the smallest common multiple of 3417 and h?
10251
Let b = 24 + 0. Calculate the lowest common multiple of 46 and -2*(b/20)/6*-5.
46
Let h = -9981658 + 49888326857/4998. What is the common denominator of 5/14 and h?
4998
Suppose -2*l - 5*y = -648, 458 = 2*l - 2*y - 190. Suppose 30*d + l = 26*d. Let g = 111 + d. What is the smallest common multiple of 10 and g?
30
Let i(w) = -w**3 - 5*w**2 - 8*w - 4. Let c(d) = -17*d**2 + 377*d - 36. What is the least common multiple of i(-5) and c(22)?
180
Let i(d) = -d**3 + 2*d - 11. Let r = 522 + -525. What is the least common multiple of i(r) and 336?
1680
Suppose -z = 3*i - 24, 4*i - 2*z = -i + 40. Suppose 15 = -i*v + 143. Calculate the lowest common multiple of (-6)/18 - (-68)/6 and v.
176
Suppose c - 17*c = 4717 - 18701. What is the lowest common multiple of 23 and c?
874
Let m = -11047 - -11065. What is the lowest common multiple of 1218 and m?
3654
Let u = 121331/18 + -6736. What is the common denominator of u and 1/159?
954
Let u(r) = 49*r**2 + 2*r - 3. Suppose -m - 1 = v, 2*m - 6*m + 12 = -4*v. What is the smallest common multiple of 60 and u(m)?
240
Suppose 84 = 3*n + n. Suppose 3*q = -12 + 51, 4*c + 4*q + 190 = 830. What is the lowest common multiple of n and c?
147
Suppose n = -i + 8, 0 = -n + i - 1 + 13. Suppose 31*a - 43 = -d + 36*a, -5*d = -3*a - 39. Calculate the smallest common multiple of d and n.
30
Let x = -15275087/232 - -65841. What is the common denominator of x and -17/319?
2552
Calculate the common denominator of (-495)/6*-1*((-1521)/189 - -8) and 19/126.
126
Let i = 868441/237940 + 2/11897. Let b = -85289/165312 - -1/18368. Find the common denominator of b and i.
1260
Let i = -2182/53 - -246663/5936. What is the common denominator of i and ((-32)/7 - 0) + -1?
112
Let f = -29865/14 - -2129. Calculate the common denominator of (-2)/(-11) - (3 - 961/(-22)) and f.
14
Let y = -10 + -26. Let u be -810*(y/(-10) + -4). What is the common denominator of 6/27 - 639/u and 59/20?
20
Suppose -2*p - 607 = -0*p - 4623. Calculate the smallest common multiple of p and 2008.
2008
Suppose 0 = 3*t + 4 - 1. Let g be t/(-954)*111208/20. Let l = 16/265 + g. Find the common denominator of 6 and l.
9
Suppose -50*f + 52*f - 5*h - 2730 = 0, 2*h + 6846 = 5*f. What is the smallest common multiple of f and 18?
12330
Suppose 0 = 27*c - 4470 + 394836. Let v = c - -390439/27. Calculate the common denominator of v and 82/45.
135
Let c = 26520 + -23880. What is the least common multiple of c and 12?
2640
Let o(l) = -9*l - 6. Let f be o(-1). Calculate the common denominator of 4 + 3 + (-188)/(-48) and f - ((-184)/14*-1 - 3).
84
Let x = 8398 + -5926. Let o = x - 49421/20. What is the common denominator of o and 13/110?
220
Let g(i) = 108*i**2 + 28*i + 56. Calculate the least common multiple of g(-2) and 162.
1296
What is the smallest common multiple of 91/3 - (-19)/(-57) and 10/(-6) - 11625/(-225)?
150
Let q = -124833 + 45938621/368. Find the common denominator of -109/920 and q.
1840
Let n = 3/59 + 5297/1416. Suppose -3*r + 177 = 4*y, 5*y + 8*r - 5*r = 222. What is the common denominator of (-18)/27*(y/(-2) + 1) and n?
24
Suppose 10*a + t - 4 = 5*a, -2*t + 8 = 0. Suppose 5*q = -3*d + 27, 4*q - 5*d - 29 = -a*q. What is the lowest common multiple of q and 66?
66
Suppose -8 = 3*k - 14, 2*k - 24 = 5*j. Let w(u) = -17*u + 2. What is the least common multiple of w(j) and 14?
70
Let o be (0 + 0)*(6/(-9))/(-2). Suppose o = -z + 9*z - 144. Calculate the smallest common multiple of z and 26.
234
Suppose 100*l + 1698 = 2*u + 99*l, 4*u - 3416 = -3*l. What is the least common multiple of u and 8?
6808
Let r be (-12)/(-3) + 5 + -219. Find the common denominator of 178/30*r/(-84) and 85/28.
84
Suppose c = -4*c + 4*x + 20, c - 4*x - 20 = 0. Calculate the smallest common multiple of 4 + 5/(-20)*c - -36 and 36.
360
Let d = 147 + -89. Suppose y - 4*k - 168 = -58, -2*y + 248 = -k. Let m = y + -116. What is the least common multiple of d and m?
290
Let z = -1898 + 1926. What is the lowest common multiple of z and 7?
28
Suppose 0*l - 2*l = 222. Let f = l + 91. What is the common denominator of (-1)/(-4)*(-8)/f and -93/4?
20
Let a(d) = -420*d - 1646. Suppose -2*q + 2*r = -4, 0*r + 5*r = 3*q - 6. Calculate the smallest common multiple of a(-4) and q.
34
Let i(p) = 2*p**3 - p**2 + p - 6. Calculate the lowest common multiple of 360 and i(3).
2520
Let d = -21639 - -432901/20. Find the common denominator of (-6)/(-15) + 38/110 and d.
220
Let t = -1 + 6. Suppose 0 = t*h + 15 - 40. What is the lowest common multiple of (-44)/(-5) - 4/h and 1?
8
Let j = 33906 + -33900. What is the smallest common multiple of j and 468?
468
Find the common denominator of 97/236 and ((-4)/22 - (-18140)/(-7920)) + 5.
2124
Let s(c) = c**3 + 57*c**2 - 3*c - 35. Let t = -206 - -149. Calculate the least common multiple of s(t) and 10.
680
Let h(y) = -y**2 - 15*y + 296. What is the least common multiple of h(11) and 238?
1190
Suppose -16*r - 193 = -f - 15*r, r - 587 = -3*f. What is the common denominator of (6*(-8)/60)/((-147)/f) and 32/77?
539
Suppose 5*j + 115 = 3*h, -h + 6*h - 155 = j. Let z = h - 25. Suppose n + 15 = 45. What is the smallest common multiple of n and z?
30
Let i(v) = -2*v**3 + 107*v**2 + 69*v - 252. Calculate the smallest common multiple of i(54) and 372.
1116
Let b = 8260709909/27719208 + -13/384989. Let w = b + -298. What is the common denominator of w and 67/27?
216
Suppose -5*x = 4*o + 54 - 58, x - 5 = -5*o. What is the least common multiple of 1068 and o?
1068
Let p = -15 - -30. Let n = 17 - p. Let w(t) = -18*t + 148. What is the least common multiple of w(8) and n?
4
Suppose -4*w = -210 + 18. Calculate the smallest common multiple of 70/45 - (-66560)/2340 and w.
240
Find the common denominator of -7 - (8 + ((-3570)/12)/(-17)) and 35/384.
384
What is the lowest common multiple of 3*(8/(-3))/(-2) and (-65)/(2600/(-160)) + 6 + 6?
16
Suppose 19*p - 16*p - 1242 = 4*a, 5*p - 2070 = -a. What is the smallest common multiple of 9 and p?
414
Let z(u) = 66953*u**2 - u. Let t be z(-1). Let y = 9373697/140 - t. Calculate the common denominator of 59/12 and y.
420
Suppose -2*t + 8863 = -5*z, 17681 = 2*t + 2*t - z. What is the least common multiple of t and 4910?
44190
Let q be -2 - (-1 + 1) - -57. Let w = 19 - q. What is the common denominator of ((-3)/w)/(22/(-378)) and 79/20?
220
Let d(o) = 48*o - 306. What is the lowest common multiple of d(8) and 22?
858
Let r = 216199/17737620 + 93/11708. Find the common denominator of r and 35/8.
12120
Let i(x) = -7*x - 75. Let o be i(-11). Find the common denominator of -21 + (5/(-30) - o) + 2 and -81/20.
60
What is the smallest common multiple of 1 and (-32 - -21 - -10) + 278/1?
277
Suppose -2*n = 10*m - 13*m + 515, -n + 170 = m. Calculate the least common multiple of m and 36.
684
Let f = -11 - -19. Calculate the least common multiple of 2207/7 - (37 - (-10824)/(-287)) and f.
632
Suppose 5*l = n + 2364 + 19271, -5*n = 4*l - 17308. Let c = 6151 - l. Let x = 2