u**2 + 3. Let k(b) = -3*b**2 + 19*b + 10. Let f be k(10). Let p = f + 107. What is the lowest common multiple of n(p) and 14?
42
Let d = 657011 - 561744332/855. Find the common denominator of d and 38/85.
14535
Let n = -1366/3 - -50551/111. What is the common denominator of -8/109 and n?
4033
Let s = -11337 - -226669/20. What is the common denominator of s and ((-2)/12)/(30/423)?
20
What is the common denominator of -109/8024 and -21*(-12)/(-56) - (-117)/(-12)?
8024
Let z(g) = 21*g + 5 + 15*g + 17*g - g**2 - 50*g. Let d be z(4). Find the common denominator of 53/30 and (5 - 114)/(18*d).
90
Suppose -f + 5*j = 17, f - 5*j + 11 = 3*f. Let a be (f - (-2 + -1))*-2. What is the common denominator of a/33*(-696)/32 and -77/80?
880
Let a be (-454)/37*(-11)/22 + -1. Let r = -4853/592 + a. Let i = 27901/12 - 2328. Find the common denominator of r and i.
48
Let t = 49 - 45. Suppose g = t*s + 1078, 0 = 2*g + 2*s + s - 2200. What is the common denominator of 43/4 and g/140 + -1 - 2/(-7)?
20
Let a = 4 - -2. Let k be 6/((-90)/65)*-3. Let c = 42 - k. What is the lowest common multiple of a and c?
174
What is the lowest common multiple of 160 and (-20)/(-15)*13/(-26)*-936?
6240
Suppose 5*f = -2*o + 7, -o - 1 = 3*f - 6. Suppose 5*q + b - 11 = 0, 4*q + b - 9 = -0*q. What is the smallest common multiple of 6 and (f*q)/(4/4)?
6
Calculate the common denominator of -16/3 and (-1146640)/1918224 - (-4)/7.
1557
Let d = -5/1162336 + 1495200347/87175200. Let u = d - 534/25. Let j = -36/29 - 1793/261. Calculate the common denominator of u and j.
72
Suppose 3*x - h + 19 - 77 = 0, -4*x + 4*h = -88. What is the smallest common multiple of x and 182?
1638
Let r(s) = 8*s - 33. Let w be r(6). Suppose -4*v + v = -w. Suppose -4*g = 5*q - 46, -v*g - 5*q = -70 + 15. Calculate the lowest common multiple of g and 7.
63
Calculate the common denominator of (21/12)/(2/(-16))*100/(-5160) and -10/303.
13029
Let d = -14952 + 18552. What is the lowest common multiple of d and 75?
3600
Let p = 46217/47355 + 52/861. Calculate the common denominator of 4*2/72*38/(-10) and p.
495
Let p(o) = o**3 + 91*o**2 - 3*o - 242. Calculate the least common multiple of p(-91) and 29.
899
Let j be 15/9 + 48446/25575. Let g = 12/775 - j. Find the common denominator of g and -15/38.
418
Let w(j) be the second derivative of -2*j**3/3 - j**2/2 + j. Let o(i) = 4*i**2 + 26*i + 52. What is the lowest common multiple of o(-4) and w(-1)?
12
Let c = 26 - 28. Let r be (-12)/c*32/6. Suppose r = h - 5*h. Find the common denominator of h and 143/18.
18
What is the common denominator of -2/91 and (4/(-160)*-4)/(78/(-258))?
910
Let s(r) = -5*r - 50. Let f be s(-6). Let j = f + 22. Suppose j*q - 66 = -q. Calculate the least common multiple of q and 4.
44
Let y(q) = 65*q + 72. Let t be y(-1). Calculate the smallest common multiple of 160 and t + 0/1 + 153.
160
Calculate the common denominator of 1/(-3) - (-13)/(-276) and 44969/15378 - 4/3.
1012
Let o = -72145091/1530 - -235766/5. Find the common denominator of o and -5/1224.
1224
Let h(v) = -5 + v**2 - 47*v + 58*v + 3. Let r be h(-9). Find the common denominator of -101/20 and 79/r*1 + (-7 - -6).
20
Suppose 80*n = 17*n + 378. What is the least common multiple of n and 200?
600
Suppose -84 = -z - 4*x, -4*x + 140 + 20 = 2*z. What is the smallest common multiple of 7524/756 - (-2)/42 and z?
380
Let j(q) = -3*q**3 - 24*q**2 - 4*q - 26. Let n be j(-10). Suppose 5*p + n = 659. Calculate the smallest common multiple of p and 33.
99
Let o(a) be the third derivative of a**6/60 - 7*a**5/15 - a**4/12 + 31*a**3/6 - a**2 + 5. What is the smallest common multiple of o(14) and 10?
30
Let k = -196 - 53. Let i = 396 + k. Suppose 3*q - i = -5*b, -q = -4*q - 3*b + 141. What is the least common multiple of q and 10?
220
Suppose o - 6*o + 3 = -4*t, o = -3*t - 7. Calculate the common denominator of t and (-52)/(-91) + (-442)/63.
9
Let t = 76 + -13. Suppose -4*v + 3*a = -91, -5*v - 5*a = -159 - 16. Calculate the lowest common multiple of t and v.
252
Suppose 2 = -19*f + 21*f. Suppose -2*y + 2*g - f = 23, 5*y - g = -48. Find the common denominator of -1/14 and (-194)/(-96)*(-3)/(y/(-6)).
168
Let u be (-32336)/112 - (-4)/(-14). Let h = 343 + u. What is the least common multiple of h and 4?
108
Let n = -315145/8 + 13951559/376. Let o = -2288 - n. What is the common denominator of o and -38/9?
423
Let o be ((-55069)/14)/(1/(-2)). Suppose -5*q = -2*y + o, -3*q + 3*y - 8*y - 4714 = 0. Let d = q + 18913/12. Find the common denominator of -57/16 and d.
48
Let t = -7078 - -247712/35. Find the common denominator of ((800/75)/32)/(14/138) and t.
35
Suppose -10*v + 748 = 708. Let c be 8 - 7/((-21)/(-6)). Calculate the least common multiple of v and ((-55)/10)/((-3)/c).
44
Let j = 78 + -81. Calculate the common denominator of 852/(-40)*2/6 and 196/6*j/(-6).
30
Suppose -196 = 4*s + 364. Let m be (-34)/6 + -4*3/36. What is the lowest common multiple of 2 and s/(-21) - m/(-9)?
6
Let q(b) = b**2 + 17*b - 2. Let c be q(-18). Suppose 369 = -c*t + 19*t. Suppose -5*f + t = -42. What is the lowest common multiple of f and 3?
33
Let o(f) = 47*f**3 + 5*f**2 + 6*f - 3. Calculate the smallest common multiple of 63 and o(2).
2835
Let a = 172 - 362. Calculate the common denominator of a/48 - (-6)/(-9) and (-12)/(-42) + (-307)/(-126).
72
Let g(r) = -30*r**2 - 424*r - 36. What is the least common multiple of g(-14) and 10?
20
Let w(m) = 2*m - 48. Let k be w(19). Let d(b) = -2*b + 4. What is the smallest common multiple of d(k) and 27?
216
Let w be (4 + (-36)/8)/((-2)/88). Suppose -w - 14 = -4*n. Calculate the common denominator of 29/42 and ((-12)/18)/((-44)/n - 0).
462
Suppose 3*q = -4*j - 376, -2*q + 7*q + j = -604. Calculate the common denominator of q/(-280)*2*(-393)/(-108) and 91/6.
42
Suppose 34 = 2*z + 14. Let w = 403 + -373. What is the smallest common multiple of w and z?
30
Let q(c) = -15*c - 129. Let s be q(-9). Let x = -2 + s. Calculate the least common multiple of 28 and x.
28
Suppose -4*k + 41 - 29 = 0. Suppose 15 = -k*h, -13 = -3*q - q - 3*h. Calculate the least common multiple of q and 15.
105
What is the common denominator of (-1 + 2)*(-10)/(-322) and -3*(1224/(-112) + (72 + 0)/8)?
322
Let s be ((-11)/66)/((-6)/(-7852)). Let q = s - -220. Find the common denominator of 55/7 and q.
63
Let i = 4309901/182820 - 1299/55. Find the common denominator of i and 45/1108.
3324
Let k(d) = -d + 57. Suppose 4*j + 4*g - 40 = 0, -34 + 14 = -5*j + 5*g. What is the smallest common multiple of k(j) and 10?
50
Calculate the common denominator of 163/30 and (3 - (9 - -1)) + 855/(-76).
60
Let a = -176 + 167. What is the common denominator of -9/14 and a/(6/2) - 57/4?
28
Let l(u) = -u**2 + 5*u + 11. Let x be l(6). Let r = 7 - 13. Find the common denominator of 89/12 and (-2)/r + (-95)/10 + x.
12
Suppose -k - 2 = -2*k. Suppose k*l + 3*l + 118 = -u, 10 = -2*l. Calculate the common denominator of 17/12 and (-2 - -2) + u/(-42) + 4.
84
Let x = -2/1713 - -8917/301488. Calculate the common denominator of 15/576*(-1683)/(-510) and x.
1408
Let n = 837394/21 + -119608/3. Let k(g) = -g**3 - g - 2. Let b be k(-2). Calculate the common denominator of 2/(-152) + (-2)/b and n.
133
Calculate the lowest common multiple of 21/105 + 327/15 and 154.
154
Let d be (5 - 2) + 3/63*-229. Let x = -22/3 - d. Calculate the common denominator of x and -81/206.
1442
Calculate the common denominator of 1 - (7813/715 - 9) and -32/253.
1265
Let w = 455/12 - 2057/84. Let x = -1280/63 + w. Find the common denominator of x and 157/30.
90
Let x = 5027/3 + -1693. Calculate the common denominator of x and (3*15/144)/(108/(-368)).
108
Calculate the lowest common multiple of 14 + 6942/2 + -14 and 2670.
34710
Let k be 27 + (-10)/(-5 - -7) + 2. What is the common denominator of 22/271 and -14*2*(-2)/k?
813
Find the common denominator of -111/10 and (-5)/(-10) - 1023/2152.
10760
Let n(b) = 3*b**2 + 3*b. Let m be -4 - -3 - -1 - -2. Suppose l = 1, -5*y + 0*l = m*l - 92. What is the lowest common multiple of y and n(-2)?
18
What is the common denominator of (-72)/(-630)*6/(-16)*(-66)/81 and 64/585?
4095
Calculate the common denominator of ((-1833)/52)/(3825/34) and 103/(-16) + 1 + 0.
1200
Let a be ((-11)/(176/279096))/(-9). Let x = -1942 + a. What is the common denominator 