88
Calculate the least common multiple of 103 and (-368)/(-180) + 70/(-1575).
206
Suppose 1535*x - 1521*x = 20 + 22. What is the least common multiple of x and 2216?
6648
Let w(v) = v**2 - 10*v + 58. Let k be w(0). Let t = k - 54. Calculate the lowest common multiple of 32 and t.
32
Let w be 3381/(-15) + -4 + 66/15. Calculate the smallest common multiple of 4/3*w/(-30)*5 and 150.
150
Let m = 2227 + -2199. Let h = -21 + 37. Calculate the smallest common multiple of m and h.
112
Let f = 9403/22120 - 48/395. What is the common denominator of f and -125/936?
6552
Let j(y) = y**2 - 2*y - 103. Let b be j(-9). Let p(d) = -d**3 + 14*d + 1. What is the smallest common multiple of 183 and p(b)?
549
Let l(h) be the third derivative of h**5/60 - 2*h**4/3 - 7*h**3/2 - 148*h**2. What is the lowest common multiple of l(18) and 90?
90
Let y(u) be the second derivative of -41*u**3/6 + 7*u**2 - 35*u. Let p be y(-9). Let b = p + -223. What is the smallest common multiple of b and 16?
160
Suppose 5*p = -3*q + 70, 4*p - 2*p - 3*q = 49. Find the common denominator of 113/12 and (-2)/p - (-43281)/(-18360).
120
Let g = -6242/5 + 1249. Calculate the common denominator of 23/55 and g.
55
Let r = 57 - 51. Suppose -6*k + 9*k - r = 0. Suppose 62 + 54 = k*d. What is the smallest common multiple of 22 and d?
638
Let h = 3/1467922 + 79995419/3097315420. What is the common denominator of h and 139/12?
12660
Suppose 0 = 17*i + 5388 + 13788. Let q = i - -7933/7. Find the common denominator of 55/328 and q.
2296
Let i = -268033917/8390 + 159734/5. Calculate the common denominator of -71/12 and i.
10068
Let g = -397053493/18 + 22042221. Let x = g - -16313. Calculate the common denominator of x and (-428)/2*4/192.
72
Suppose 3*g + 7 = i - 6, 4*g - 12 = 0. Calculate the lowest common multiple of 62/31*(27 + 1) and i.
616
Find the common denominator of 32/((-896)/(-2))*(2 - (1 - -4)) and 119/42606.
298242
Let c = 13625 + -108941/8. Find the common denominator of 83/806 and c.
3224
Suppose -3*b - 258 = 3*i, -5*b + 0*b - i - 410 = 0. What is the lowest common multiple of 10 and b/(-11) + 156/(-429)?
70
Let j = -75849517/3355 - 85431/610. Let l = j + 22752. Calculate the common denominator of l and -79/12.
132
Let r be (1098/4)/((-12)/16). Find the common denominator of 16/5 and r/(-120) + -1*3/12.
5
Suppose 6*g - 1890 + 1854 = 0. Suppose -2*v + 4*v - 2*f = 28, 0 = 4*v - 5*f - 58. Suppose -3*s = -0*s - v. What is the least common multiple of s and g?
12
Let z = -6952475/42 + 165539. Suppose -4*k + k - 6 = 0. Find the common denominator of ((-10)/k*-2)/(-9) and z.
126
Let x = 81416/9 + -9051. Calculate the common denominator of x and -113/162.
162
Let i = 236 - 240. Let b(c) = 3*c**2 + c - 4. Let y be b(-2). Calculate the common denominator of -67/32 and (i/y)/(-1) - 484/(-192).
32
Let x(z) = z**3 + 7*z**2 + 7*z + 12. Let f be x(-6). Let q(a) = 11*a - 50. What is the smallest common multiple of 8 and q(f)?
16
Let p be (-90)/4 + 5/(-10). Let w = 39 + -21. Calculate the smallest common multiple of 14/28 + p/(-2) and w.
36
Let x be (-16)/(-6)*6/(-532). Let m = 771/5320 - x. What is the common denominator of ((-8)/44 - 410/(-440))/((-153)/289) and m?
120
Suppose 4*a + 978 = 5*b, 0 + 8 = 4*b. Suppose 8*k - 5*c - 50 = 3*k, 5*k + 2*c = 22. What is the lowest common multiple of (-1408)/a + 2/11 and k?
6
Calculate the common denominator of (-1)/3 + 106/36 and (-2232)/640*20/75.
900
Suppose -3*l - 4*l = -77. Let r = 95 - 95. Let q(n) = 2*n**2 - 4*n + 11. What is the smallest common multiple of l and q(r)?
11
Let a = -4 + 27. Let x be (-2 - 24/(-4)) + -2. Suppose -54 = -x*g - 16*g. What is the lowest common multiple of g and a?
69
Suppose -32 - 11 = -p. Suppose -t + 13 = 3*q, -4*t + 4*q + p = -25. What is the smallest common multiple of t and 6/(-24) + (-50)/(-8) + 2?
16
Let p = 20/107 + 8935/856. What is the common denominator of -51/4 and p?
8
Let y(j) = -j**3 - 3*j**2 - 2*j - 3. Suppose 5*p + 284 = -2*x, -4*p + 9*x = 4*x + 247. Let k = p + 91. Calculate the lowest common multiple of y(-3) and k.
33
Let n be 14/77 + (-18)/(-22). Suppose 19 = 3*k + n. Calculate the common denominator of ((-1)/k)/(4/249) and -65/4.
8
Suppose -4*b - 3*m + 2*m + 1172 = 0, -3*b + 879 = 5*m. Let x = b - 194. What is the least common multiple of 81 and x?
891
What is the least common multiple of (16/12)/((-5469)/684 - -8) and 1672?
3344
Let t = -3407/9040 + -25/226. Find the common denominator of t and 167/144 + -1 - (-4)/(-6).
720
Suppose 14*o = 10*o + 16. Suppose 15*m - 1511 = 179 - 250. Calculate the smallest common multiple of o and m.
96
Suppose 5*t = 3*g - 131, 2*g = -2*g + 2*t + 170. Let o = 457 - 451. What is the least common multiple of g and o?
42
Let y be 1 + 3 - (-8)/2. Suppose -12*d + 16 = -y*d. Calculate the lowest common multiple of d and (12/(-15))/((-24)/4020).
268
Calculate the smallest common multiple of 110 and ((50336/(-20))/22)/(2/(-5)).
1430
Calculate the lowest common multiple of 64 and -192*(-2 - (-56)/42).
128
Suppose -53*a + 262 = 4 - 166. Calculate the lowest common multiple of 176 and a.
176
Let r(k) = k**3 - 129*k**2 + k + 1771. What is the lowest common multiple of r(0) and 539?
12397
Let t(d) = 85*d + 314. What is the lowest common multiple of t(-2) and 4?
144
What is the common denominator of -69/2080 and (-45552)/4160*15/18?
2080
Calculate the common denominator of 83/24 and (-9)/1053*(-6372)/936.
4056
Let i = 699 + -697. Suppose -4*j - v + 10 + 225 = 0, i*j = 3*v + 135. What is the smallest common multiple of j and 15?
60
Suppose 80*p + 13 - 34 = 59*p. Suppose -5*f = -4*u - 59, -3*f + 8*u - 3*u = -25. Calculate the smallest common multiple of p and f.
15
What is the common denominator of 115/156 and 19 - 42 - 3326/(-156)?
156
Find the common denominator of (-15 + 9)/1 + 6758/1121 and 97/8.
8968
Let z(n) = -4*n - 113. Let y be z(-30). Calculate the least common multiple of 28 and (-10 + 2)*(-14)/y.
112
Let b = -1968 + 2524. Calculate the least common multiple of 18 and b.
5004
Suppose -2*k = -5*r - 527, -5*k + 1357 = 2*r - 33. Calculate the smallest common multiple of 506 and k.
3036
Let x = -22744 - -614021/27. Find the common denominator of x and -28/1179.
3537
Suppose -6*q + 22 = 10. Calculate the common denominator of 73/236 and (q/(-100))/(20/3650).
1180
Let s be (-6)/(-7*12/(-56)). What is the common denominator of s + ((-4)/(-132) - -2) and -107/12?
132
Suppose 1 = -2*l - a, 0 = 3*l + 2*l - 2*a - 2. Suppose -7*x + 358 - 36 = l. What is the least common multiple of 4 and x?
92
Suppose 15*i + 620 = 18*i - 2*p, -2*i + 430 = 2*p. Calculate the smallest common multiple of i and 2100.
2100
Let w = -53 - -60. Let v = -1650 - -1657. What is the least common multiple of w and v?
7
Suppose 0 = 5*x - 5*k - 1547 - 1138, k = -5*x + 2643. What is the smallest common multiple of 65 and x?
6890
Let k be (-9)/(-22)*(3704/(-12) - -2). Let s = k + 25621/198. Find the common denominator of s and (8/(-66))/((-7)/42).
198
Let s = 14 + -12. Suppose 4*b + s = m, 5*m + 2*b = b + 52. Let a = 5 - 2. What is the lowest common multiple of a and m?
30
Let u = 50985/7 + -1367047/189. Let x = 33745/27 + u. Let s = 1289 - x. Find the common denominator of 87/10 and s.
30
Let b = 24116 - 23966. Calculate the least common multiple of -12*(-2 - -3)*-4 and b.
1200
Let p = -197425/18 + 10967. What is the common denominator of p and (182/(-24) - -1) + -1?
36
Let o = -112125/902 + 1371/11. Find the common denominator of 5893/14484*34*((-20)/396 + (-4)/18) and o.
902
Let l = 2843 + -1242389/437. Find the common denominator of -39/46 and l.
874
Let a(h) = h**2 + 171*h + 4667. Calculate the smallest common multiple of a(-34) and 3340.
30060
What is the common denominator of 2 + 3 + -1 - 7/((-189)/(-330)) and -103/105?
315
Let b = 209473/16 - 13086. Let o = 2749/18 + -476/3. Calculate the common denominator of b and o.
144
Suppose 3*t = 5*t - 12. Let n be 76 + 4/(-6)*t. Calculate the common denominator of 25/8 and 742/n*-2 - 8/36.
24
Let y = -1531649 - -2560917053/1672. Calculate the common denominator of 93/20 and y.
8360
Suppose 294 + 111 = 9*d. Let t(i) = -i**2 + 2*i + 9. Calculate the lowest common multiple of d and t(0).
45
Let p = -16 - -10. Let s = -24643 - -24657. Calculate the least common multiple of (-4)/p