 + 0. Let h = -98 + p. What is the least common multiple of h and 10?
70
Let x(t) = 11*t - 2. Let z be x(2). Let b = 26 - z. Calculate the smallest common multiple of 13 and (-1)/b*3*-2.
13
Let y = -16707693 + 401340719/24. Let k = -14842 + y. Find the common denominator of k and 83/224.
672
Let t = 5843855055 + 2268008105. Let k = t + -194587373687959/23988. Let m = k - 3/3998. Calculate the common denominator of 121/48 and m.
48
Let o be 0 + 0 - (-20)/5. Suppose 8 = -o*m - 32. Calculate the common denominator of (m/50)/(36/605) and -41/8.
72
Let p = 10 - -12. Suppose 17*v = -2659 - 3444. Let n = v + 371. Calculate the lowest common multiple of p and n.
132
Suppose -5*h - 3 = q - 8, 34 = 2*q + 4*h. Suppose 11*f + 19 = -q. Calculate the lowest common multiple of 28 and (16/6 + f)/(6/(-9)).
28
What is the common denominator of -85/48 and ((-36)/(-40))/(3300/(-5750))?
528
Let o = -120 - -138. Let t = 46 + -42. Suppose 0 = -3*v - t*w + 136, 4*v + 0*w - 203 = -w. What is the least common multiple of o and v?
468
Let d be 3 + ((-36)/6980)/3 - 3. Let u = -45763/228595 - d. Let z = u + -5323/2882. Find the common denominator of z and 19/22.
22
Let u(v) = 11*v**2 - 7*v + 8. Let r be u(2). Suppose -2*i = -10, -3*f - 3*i = -25 - r. What is the lowest common multiple of f and 1/((-1)/(-24*2))?
48
Let d(j) = -j**2 - 13*j - 32. Let s be (-32)/6 - (-6)/18. What is the lowest common multiple of d(s) and 64?
64
Let y = -20/277 - -774/3047. Calculate the common denominator of -35/122 and y.
1342
What is the common denominator of (-1)/((-198)/1024) - 45*(-48)/(-432) and 123/3080?
27720
Let n = 37729 - 1132013/30. What is the common denominator of n and 113/2430?
2430
Suppose 3*y = -2*p - 3, 3*p + 2*p - 2*y = 21. Let v(c) = -3*c + 2 - c**p - 8*c**2 - 1 + c - 2. Calculate the least common multiple of 6 and v(-8).
30
What is the lowest common multiple of 5 and (-96)/9*(-8175)/20?
4360
Let v(u) = -529*u**3 + 3*u**2 - 8*u - 1. Let m be v(2). Let c = -101773/24 - m. Calculate the common denominator of c and 25/28.
168
Suppose 7*j - 6*j = 6. Let g(m) = 21 + 9*m - 5*m + m - j*m. Calculate the lowest common multiple of 33 and g(18).
33
Let l be ((-2)/4)/(19/(-1634)). What is the least common multiple of 16 and ((-138)/(-4))/(l/172)?
1104
Let p = -64188 + 9435703/147. What is the common denominator of 169/336 and p?
2352
Let c = 350944681/246018 + -2/123009. Let w = c - 1396. Find the common denominator of w and (9/(-20))/(2/(-4)).
10
Find the common denominator of 5/(-25) + (-41)/(-30) and (99/(-132) - (-66)/(-8)) + 766/80.
120
Find the common denominator of (326/(-504))/(14 + 244/(-8) + 18) and 5/777.
13986
Let r = 1726924/9 + -992967746/5175. Let n = r - 116/75. What is the common denominator of -35/16 and n?
1104
What is the common denominator of 10829/1540 + (-1)/(6/42) and -119/6?
660
Suppose 2*t + 4*j = -92 + 20, 5*t = -5*j - 165. Let r = t + 57. Let y(s) = 2*s**2 + 13*s + 9. Calculate the lowest common multiple of y(-8) and r.
297
Let j(y) = -3*y**3 + 37*y**2 + 18*y + 20. Calculate the smallest common multiple of 1178 and j(12).
11780
Let v = -373481/45 + 8300. Calculate the common denominator of v and 53/15.
45
Let x = -1582 + 28459/18. Find the common denominator of x and (-47 - -52 - (-1357)/(-190)) + (-1)/5.
342
Suppose 8*m - 3*o = 4*m - 13, -4*m - 5*o = 53. Let k be (1 + m)/(4*4/(-8)). What is the lowest common multiple of (k/3 - (-8)/(-4))/(-1) and 9?
9
Let y = -115139531/40 - -2879372. Let f = -884 + y. Calculate the common denominator of f and 7/172.
1720
Let r = -6/373 + 7123/2238. Let t = 35557/159 + 585/53. Let v = 2765/12 - t. What is the common denominator of r and v?
12
Suppose -4*s - 2693 = 5755. Calculate the common denominator of -1*(-1064)/s - 3/(-9) and -101/24.
264
Let o = 124011/25498 - -1/12749. Calculate the common denominator of o and -89/668.
7348
Let o(y) = -14*y + 68. Let d be o(5). What is the least common multiple of ((-150)/12 - -2)*d and 3?
21
Let s = -35 + 68. Let n(j) = 2*j**2 + 15*j - 141. Let m(t) = -t**2 - 5*t + 20. Let g be m(-7). What is the lowest common multiple of n(g) and s?
231
Let p be (5 - (-426018)/(-30))/98. Let n = p - -726/5. Calculate the common denominator of n and -6/35.
245
Let d be -7 + (-4 - 12242/6). Let t = 2028 + d. What is the common denominator of 4/11 and t?
33
What is the common denominator of 5/(-12 - -27) - 358/1065 and 29/426?
2130
Suppose f - 72 = 4*n, -2*n + 5*n + 45 = 3*f. Let w = 24 + n. Suppose w*s - 28 = 2*i, 4*i - 5 + 1 = 0. Calculate the smallest common multiple of s and 12.
12
Suppose y = 5*v - 72, -3 - 1 = -v - 5*y. Let a = v + -5. What is the common denominator of -67/8 and (-13)/18 + 18/a?
72
Let t = 3520 + -3512. Calculate the lowest common multiple of 72 and t.
72
Let s be (3/(-6))/(3/(-78)). Let j = -195 - -207. Calculate the lowest common multiple of (3 + s)*(-4)/(-8) and j.
24
Suppose -44*u = -40*u - 552. Suppose -3*r + g = -138, 3*r = -11*g + 8*g + u. Calculate the lowest common multiple of 16 and r.
368
Let o = 309 + -349. Find the common denominator of 32/(-80) + (42/o - 3) and 41/80.
80
Let g = 12594225 + -5037696221/400. Let h = 306/25 + g. Calculate the common denominator of h and 91/32.
32
Let y = -85 - -125. Suppose 52 = q - h, 2*q + y = 3*q - 5*h. Calculate the smallest common multiple of 10 and q.
110
Suppose 5*t - 69 = -2*l, 0*l - 2*t + 130 = 4*l. Let f = l + -30. What is the common denominator of f/3*(-1005)/40 and -93/10?
20
Let v = -10472359/197 + 53159. Let u = 13415/1182 + v. Calculate the common denominator of u and -107/190.
570
Suppose -5*g = -5*q - 2669 + 774, 0 = -3*q + 3. What is the lowest common multiple of g and 90?
3420
Let z be -1*((-1092)/10 + (-6)/(-30)). Let v = -103 + z. Calculate the common denominator of (6 + -13)*v/(-147) and -65/9.
63
Calculate the lowest common multiple of 10 and (166/(-34))/(-1) - (-20)/170.
10
Suppose 51*v = 47*v + 4. Let y = -38159/6 + 6378. Find the common denominator of y and (-66)/(-40) - v*(-1)/(-2).
60
Let q(r) = r**3 + 5*r**2 - 14*r - 36. Let h be q(-6). Calculate the smallest common multiple of 28 and 1/((2/h)/((-16)/(-12))).
56
Let f = -6 - -9. Suppose h + f = 8. Suppose -20*n - 973 + 1173 = 0. Calculate the lowest common multiple of h and n.
10
Let v(z) = z + 305. Let t be v(-35). Suppose -p + b + 59 + 31 = 0, -2*b - t = -3*p. Calculate the least common multiple of 1 and p.
90
Suppose -68*c + 109*c - 3611 - 1801 = 0. What is the smallest common multiple of 3660 and c?
40260
Let b = -14132/9 + 7772597/4950. Calculate the common denominator of b and 23/3025.
18150
Let l = -621/152 + 35/76. Find the common denominator of (-14)/(-2688)*(-176 + 10) and l.
96
Suppose 106939 = 352*n - 67301. Calculate the least common multiple of 33 and n.
495
Let t(d) = -621*d - 114. Let c be t(-31). Let u = c + -1224867/64. What is the common denominator of 1/48 and u?
192
Suppose 0 = 3*l - 37 + 46. Calculate the common denominator of -97/24 and (l - -38)*(-4)/150.
120
Let n(l) = 8*l - 150. Let v be n(19). Suppose 5*b = -0*c + 3*c - 56, b - 20 = -v*c. What is the lowest common multiple of c and 436?
1308
Let k(g) = -286*g - 320. What is the least common multiple of 4 and k(-6)?
1396
Let t = -406415/23856 - -3694/213. Calculate the common denominator of 37/2688 and t.
2688
Let t(s) = -s**2 + 11*s + 1. Find the common denominator of (-14)/77 - (-593)/(-550) and t(5).
50
Let m(a) = -206*a**3 - 8*a**2 + 6. Calculate the smallest common multiple of m(-1) and 78.
2652
Let o = 28 - 16. Let b = o + -6. Let a(k) = 1065*k + 350396. What is the lowest common multiple of b and a(-329)?
66
Let n(h) = h**2 + 3*h + 3. Calculate the least common multiple of n(-5) and 4/(-11)*15565/(-1415).
52
Let z(i) = 199*i**2 + 127*i - 128. Calculate the least common multiple of 1584 and z(1).
1584
Suppose b + 4*b = 60. Let a(n) = -4985*n + 10002. What is the smallest common multiple of a(2) and b?
96
Let p(v) = 132*v**2 + 580*v + 2280. What is the lowest common multiple of p(-4) and 560?
20720
What is the common denominator of -101/1000 and (-1 - 77/(-70))/(1420/(-212) + 7)?
4000
Let y be (-15)/(-90) - 14/12. Let l be 4*y*33/(-44). Suppose l*x = 6*d - 2*d + 70, -d = 5*x - 132. Calculate the least common multiple of 10 and x.
130
Let g = -1838 - -1856. Calculate th