nd ((-12)/80)/1 - (2 - -2).
120
Let d = 1383 - 5503/4. Let k = 2819/2 - 1378. Find the common denominator of d and k.
4
Suppose 49 + 162 - 106 = 21*c. Calculate the lowest common multiple of (3/9)/(1/33) and c.
55
Suppose -i + 74 = 5*r, -4*i - r + 5*r + 200 = 0. What is the least common multiple of 34 and i?
918
Let s(v) = v - 6. Suppose 0 = 5*n + p - 19, 5*n - 6*p + 2*p + 1 = 0. Let o be s(n). Let y = o + 13. Calculate the least common multiple of 14 and y.
70
Let a(v) = v**2 + 5*v + 1. Let z(i) = -i**3 + 2*i + 3. Calculate the lowest common multiple of z(-2) and a(-5).
7
Let m(f) be the first derivative of -5*f**4/4 - 2*f**3/3 - f**2/2 + f + 9. Let o be m(-2). What is the lowest common multiple of (o/21)/(2/6) and 1?
5
Suppose -3*t = -5*s - 36250, 2*s + 3*t + 7232 = s. Let j = 43381/6 + s. Let n = 41210/5841 + 1/3894. What is the common denominator of j and n?
18
Let w = -56/41 - -4395/3608. What is the common denominator of w and -69/44?
88
Let l = 8985959/6 + -1493431. Let b = l - 4210. Let h = 1/18511 + -1869625/259154. Find the common denominator of h and b.
42
Let b be (27 - 24)*2*4. Suppose b*l - 29*l = -170. Calculate the least common multiple of l and 8.
136
Suppose -3061 - 15939 = -100*t. Calculate the least common multiple of t and 133.
1330
Let y = -127069 - -52098263/410. Find the common denominator of y and 32/41.
410
Let w = 1/993 + -24979/152922. What is the common denominator of w and -17/6?
462
Let o be 5072/(-170) + (-4)/10. Let m = -5445/238 - o. Calculate the common denominator of m and 530/(-220) + 7 - (-16)/(-2).
154
Suppose -q = q + 24. Let k = q - -18. Calculate the lowest common multiple of 0 + -1 + 9/1 and k.
24
Suppose 63 = 4*j - 25. Let z(g) = -g**3 - 2*g**2 + g - 16. What is the lowest common multiple of z(-4) and j?
132
Suppose -33 + 1 = -2*l. Calculate the least common multiple of (2 + -1)/((-63)/(-882)) and l.
112
Let w(j) = j**2 + 17*j + 6. Let g be w(-18). Suppose 0*q = -3*q + g. Calculate the least common multiple of q and 8.
8
Let f = 1762 - 28223/16. Let i = -6305/2 + 3225. Let g = 74 - i. Find the common denominator of f and g.
16
Let a = -1946 + 46681/24. Calculate the common denominator of a and 119/6.
24
Let f(y) = y**2 - y + 8. Let p be f(-4). Suppose p = 4*c - 12. What is the least common multiple of c and 4?
20
Let w = -12 - -3. Let i = 3 + 7. Let c = i + w. Calculate the least common multiple of c and 2.
2
Suppose i + 0*i = -3. Let a = i + 7. Suppose 4*t + 2*m = 34, -3*t - a*m - 10 = -8*t. What is the least common multiple of t and 20?
60
Let k = 14251/11 + -1299. Let m = 1 + 2. What is the common denominator of m/(-6) - (-43)/(-8) and k?
88
Suppose -2*r = 5*x - 50, -x - 6*r + 33 = -r. Let k = 2404 - 9567/4. What is the common denominator of (-334)/48 - 1/x and k?
12
Let w(t) = 15*t**3 - t**2 - t + 1. Let p = -30 - -51. Let a = p + -5. Calculate the smallest common multiple of w(1) and a.
112
Let m = 62848/23 - 2732. What is the common denominator of 59/3 and m?
69
Calculate the common denominator of (-80)/(-264)*(-8)/(-32) and 52/55.
330
Suppose 5*b = 8*b. Suppose -3*i + 0*i = b. Suppose i = q - 0*q - 22. Calculate the smallest common multiple of q and 28.
308
Let f = 72830 - 35055. Suppose 3*j + f = -4786. Let y = j + 283663/20. What is the common denominator of -53/14 and y?
140
Let o(g) = 149*g - 17. Let d be o(-12). Let s = -18133/10 - d. What is the common denominator of s and -49/16?
80
Let h(r) = -r**3 + 7*r**2 - 7*r + 3. Let c(s) = -s**2 + 5*s + 6. Let q be c(5). Suppose 1 - q = -a. What is the smallest common multiple of h(a) and 22?
198
Suppose 3*k = 12, 2*k = j - 127 - 52. Suppose -j - 319 = -11*n. What is the lowest common multiple of 10 and n?
230
Suppose 17 = 5*j + 7. Suppose -j*i + 20 = -i. Calculate the lowest common multiple of 28 and i.
140
Let y = -20068/7 + 2875. Let v be (-2)/(-3) - 10/(-3). What is the common denominator of (-10)/v*4/35 and y?
7
Let t be -1041734*((-2)/2)/106. Let v = -9828 + t. Let b = v + -1028/265. What is the common denominator of 54/11 and b?
55
Suppose -2*i = i + 14400. Let w = -57565/12 - i. Find the common denominator of w and 37/72.
72
Let a be 2 + 0 + -3 - -5*5. Let m = a + -14. Let w(y) = y**3 - 6*y**2 + 2*y - 6. Calculate the least common multiple of w(6) and m.
30
Suppose 11*r - 6*r - 215 = -4*q, 5*r = q - 35. Calculate the least common multiple of q and 110.
550
Suppose -2*l + 5*y - 2 = -28, -3*l = 5*y + 11. Suppose 0 = 3*k - l, -4*k = u + k - 27. What is the lowest common multiple of 148 and u?
1628
What is the common denominator of -2/9 and (204/(-136))/(6/19)?
36
Let m(o) = -3*o + 3*o**3 + 6*o - 4*o**3 + 6*o**2. Let g be m(6). What is the lowest common multiple of 6 and ((-8)/3)/((-3)/g)?
48
Let f(p) = p**3 - p**2 - p + 14. Let c = -4 + 4. Let h(a) = -a**3 + 6*a**2 + 20. Calculate the lowest common multiple of h(6) and f(c).
140
Let w = -117 - -125. Suppose -2*u + 0*u = 0. Suppose u*c - 16 = -2*c. What is the smallest common multiple of w and c?
8
Let k be (20 - -1) + 1 + 0. Calculate the lowest common multiple of 7 and (-6)/27 - k/(-18).
7
Let q be 70/4 - 33/(-22). Suppose -4*c = v - 29, -4 + q = 3*v. What is the least common multiple of c and 22?
66
Let l be 14/(-49) + 37/7. Suppose -2*r + 2 = 4, l*r + 20 = 5*u. Calculate the least common multiple of 3 and u.
3
Suppose a = 5*d - 557, -2*d - 238*a + 227 = -237*a. Calculate the least common multiple of d and 224.
224
Let t = -101/133 - -37/38. Let f = 24569/2 - 356297/29. Find the common denominator of f and t.
406
Let q(k) = k**2 + 3*k - 12. Calculate the lowest common multiple of q(-7) and (2/3)/((-11)/(-198)).
48
Let m(s) = -s + 9. Calculate the lowest common multiple of m(-21) and 54.
270
Let u = 205907/14 - 14701. Let y = 88153/10 - 8824. Calculate the common denominator of y and u.
70
Let c(y) = 3*y + 0*y + 7*y + 6*y. Suppose z - 7 = -6*z. What is the least common multiple of c(z) and 6?
48
Suppose 0 = 14*a - 10*a + 24. Let t = 14 - a. What is the smallest common multiple of t and 12?
60
Suppose 0 = -3*q + 21 + 6. What is the common denominator of (-2 + (-490)/(-25))/(13 - 11) and (110/q)/(4/(-6))?
15
Calculate the common denominator of 10/(300/162) + 5 and 2 - (1 + (-365)/(-30)).
30
Suppose 2*u = 11 - 3. Let a be (u*-5)/(2/21). What is the common denominator of 1/18 and (a/(-8))/(33/6)?
198
Let r = -2792 + 150775/54. What is the common denominator of 1/6 and r?
54
Suppose -26 = 2*m + 5*t - 36, 4*m + t = 38. What is the smallest common multiple of 338 and m?
1690
Let c = 209 - 114. Suppose 0 = 3*x + 4*g + c, -5*g = -5*x - 90 - 10. Find the common denominator of x/(-10)*(-87)/45 and -6/5.
30
Calculate the lowest common multiple of (-1 - 8)*60/(-54) and 32.
160
Let a(n) = -3*n - 8. Suppose -3*z - 217 = -10*z. Calculate the least common multiple of a(-6) and z.
310
Suppose 0 = -8*w + 3128 - 1064. Calculate the least common multiple of 4 and w.
516
Let s = -17/117 + 2363/2574. Find the common denominator of s and 1*6*10/32.
88
Let n = -10831 - -130097/12. What is the common denominator of (-6291)/(-5742) + 0 + (-6)/33 and n?
348
Suppose 0 = 5*y - 15, 5*b + 2*y = y + 213. Find the common denominator of 137/18 and 183/15*(-3 + 111/b).
126
Suppose 3*j + 14 = -q - q, -2*j - q = 8. Suppose 5*i - 5*y - 160 = 0, 4*y - 9*y + 80 = 3*i. Find the common denominator of 87/8 and (-172)/i - j/6.
40
Let b = -5 + 11. Suppose -2*d - c = -d + 11, -d = -4*c + b. What is the common denominator of 2 - ((-51)/d - 0) and 25/14?
70
Let s = 108127 - 76770193/710. What is the common denominator of 49/16 and s?
5680
Let v(y) = -10*y. Let l = -395 - -396. What is the lowest common multiple of l and v(-1)?
10
Suppose 0 = -3*x - 2*c - 18, -5*x - 2*c - 3*c = 30. Let y be (0 - -10)*15/x. Let d = 41 + y. What is the least common multiple of d and 8?
16
Let p(k) = -k**2 - 10*k - 15. Calculate the least common multiple of p(-7) and 12/15*(-30)/(-12).
6
Suppose 5*h - 55 = 5*f, h + 2*f = -h + 14. What is the smallest common multiple of (6/(-15)*-3)/(14/105) and h?
9
Let j = 41 + 4. Calculate the common denominator of ((-2)/(-6))/((-4)/j) and (-58)/(-51)*-3 + 1 + 0.
68
Let c = 259/12 - 113/4. Calculate the common denominator of 39/156 - (-438)/(-88) and c.
33
Let x(o) = -14*o - 59. Calculate the smallest common multiple o