8
Let p be (-14)/4*(-8 - 4). Suppose 20*m = 18*m + p. Calculate the smallest common multiple of m and 1.
21
Find the common denominator of 67/3 and (6 + (-27 - 4))*(-6)/64.
96
Find the common denominator of 31/20 and -94*5/(-105) + (-8)/(-12).
140
Let x = -119 - -480. Suppose 0*u = -3*u - 2*n + 353, 3*u = -4*n + x. Let b = 489/4 - u. What is the common denominator of -49/5 and b?
20
Suppose 0*v + 3*o = v - 1, 3*v - 5*o = 15. Let j(b) = b**2 + 11*b - 54. What is the smallest common multiple of v and j(-15)?
30
Suppose 0 = -2*s + 5*d - 14, 5*s + 2*d + 8 = 2. What is the common denominator of 0 + 2 - 968/(-96) and s/(36/(-157)) + -1?
36
Let i be 8/(-78)*1*(-594)/(-1650). Let z = i - -25963/7800. Calculate the common denominator of z and -83/21.
168
Suppose q - 5 + 2 = 3*s, 5*q + 5*s - 35 = 0. Calculate the least common multiple of (4 + -1 + 0)*q and 6.
18
Let u = -11 + 13. Suppose -5*d - 3*j + 15 = 0, -u*d + 0*j + 17 = -j. Calculate the smallest common multiple of d and 11.
66
Let b be 2 - ((-3)/1)/3. Suppose -5*v = -3*o + 46, -o + 34 = -0*o + b*v. What is the smallest common multiple of (-3)/(-2)*2 + -1 and o?
22
Let x(r) = -r + 6. Calculate the least common multiple of x(-6) and 148.
444
What is the smallest common multiple of 154 and (3744/135)/13 - (-6)/(-45)?
154
Let k = -550/396977 - -9869679697/313611830. Let i = 12/395 + k. What is the common denominator of 39/14 and i?
14
Suppose z - 3*z = 4*g - 2, -4*z + 3*g = -48. Let q be (-3 + 4)/(2/8). What is the least common multiple of 11 + 0/(16/q) and z?
99
Suppose 0 = 8*s - 20*s + 1008. What is the least common multiple of 84 and s?
84
Let l be ((-12)/(-8))/(12/(-64)). Find the common denominator of -2 + ((-1353)/(-88) - 1/l) and 49/20.
20
Let k = -61/5 + 1129/70. Find the common denominator of k and -15/64.
448
Let p = 161940 - 32711969/202. What is the common denominator of 25/6 and p?
606
Calculate the common denominator of -99/4 and (-1)/(8/(-21))*46/(-2852).
496
Let s = 19637/280924 - -222/889. What is the common denominator of 57/4 and s?
316
Suppose -4*a + 153 = -s, -7 = -2*a + 1. What is the common denominator of -1 + s/6 + 0 and 10/(-80)*-1*202?
12
Let n(l) = 11*l**2 - 27*l + 205. What is the least common multiple of n(8) and 27?
2079
Calculate the common denominator of -17/36 and 6 - (20/208)/(2/139).
936
Let r(v) be the second derivative of v**3/6 + 15*v**2/2 + v. What is the smallest common multiple of 5 and r(-8)?
35
Suppose 25*l - 22 = 128. Calculate the least common multiple of 9 and l.
18
Suppose -5*c + 15 = 5. Suppose -w - c + 7 = 0. Suppose -8*k + w*k + 18 = 0. What is the smallest common multiple of k and 6?
6
Suppose -5*r + 333 = -5*l + l, -2*l + 4*r - 162 = 0. Find the common denominator of (-4 - l/(-18)) + -4 and 99/28.
84
Let q(p) = -p**3 - 6*p**2 + 3*p - 33. Let i be q(-14). Let b = 14961/10 - i. Find the common denominator of 19/6 and b.
30
Let o(h) = 8*h - 45. Let y be o(10). Calculate the common denominator of (-48)/y - ((-52)/(-10) + -5) and 23/9.
63
Let v be 2*9/(-6)*-3. What is the common denominator of (-2)/v - 2353/468 and 39/10?
20
Let b = -121007/14 - -8647. What is the common denominator of b and (-22)/33*69/32?
112
Find the common denominator of (-1)/3 - 1*(-90)/(-4) and 13/6.
6
Suppose 27 = -l + 47. Let f = 29 + 3. Calculate the smallest common multiple of f and l.
160
Suppose h - 24 = 93. What is the smallest common multiple of 351 and h?
351
Suppose u - 5*o + 18 = 2*u, 3*o = -3*u + 30. Suppose u = 2*z + 4*n, 5*n - 25 = z - 8. Find the common denominator of 18 + -3 + z/(-4) and 26/9.
18
What is the smallest common multiple of 68 and (8/1)/(-5 - (-603)/117)?
884
Let y = 1/788 + 6103/3152. Find the common denominator of y and -37/10.
80
Let h(j) = -j**2 - 11*j + 246. Calculate the smallest common multiple of h(11) and 1726.
3452
Suppose -7*r + 53*r - 8280 = 0. What is the lowest common multiple of 4 and r?
180
Let i = -79 + 277/3. What is the common denominator of i and -3/52?
156
Let q = 70 - 52. Calculate the least common multiple of 6 and q.
18
What is the common denominator of -19/69 and 754/40 - ((-22)/(-5))/(-11)?
276
Let s(v) = -v**2 + 15*v - 11. Let m be s(8). Find the common denominator of (-18)/14*126/32 and 20*(m/(-24))/5.
16
Let l = 7862932753/1869745790 - 764/459397. Let t = l + -3/814. What is the common denominator of t and -54/5?
5
Suppose 3*v = s - 17 + 7, -3*s + 4*v + 10 = 0. Find the common denominator of 21/7 - 31/2 and s/4 - 124/24.
6
Suppose 0 = l - 4*a - 25, 0 = 3*l + 21*a - 18*a - 75. Calculate the least common multiple of l and 115.
575
Let t be (-1)/2*(-1 - -1). Suppose t = -0*f - 4*f + 72. Suppose 2*y - 25*g - 19 = -30*g, 0 = 4*y - 4*g + 4. What is the lowest common multiple of f and y?
18
Let z = -7 - -10. Suppose 5 = z*m - 4. What is the least common multiple of 7 and m?
21
Let d(n) = 2*n**3 - n**2 + 8*n - 8. Let y be d(3). What is the common denominator of y/532 - (-28)/(-98) and -95/4?
76
Let f(o) = -155*o - 994. Calculate the least common multiple of 65 and f(-7).
455
Calculate the common denominator of -13 + -167*5/(-120) and (-119 - -1)*2/32.
24
What is the lowest common multiple of 6 and 39/6*(8 - (-2)/1)?
390
Let f(x) = -x**3 + 8*x**2 - 57. Let k be f(9). What is the common denominator of 81/16 and (-2)/(-6) - k/216?
144
Let l(d) = d**2 + 4. Suppose -5*c + 4*m + 36 = -0*m, 3*m + 12 = 0. Calculate the least common multiple of l(c) and 6.
60
Suppose 3*t - 13 = 20. Let p(b) = -b**2 + 29*b - 17. What is the smallest common multiple of p(28) and t?
11
Let o be (-6 + 0)/2 - 1. Find the common denominator of 6/o + (-315)/112 and 89/10.
80
Let p be 91/3 + (-4)/12. Find the common denominator of (474/p)/(32/(-10)) and -101/62.
496
Let o(b) = -b**3 + 7*b**2 + 4. Let u be o(7). Suppose -4*f + 68 = -u. Calculate the lowest common multiple of 4 and f.
36
Suppose 5*x + a = -26 + 333, -a = 4*x - 245. Let i = x - 36. Calculate the lowest common multiple of i and 8.
104
Suppose -4*o - 356 = 5*v, 4*v + 3*o = 4*o - 268. Let j = v - -95. What is the common denominator of 71/10 and (j/(-10))/(12/5)?
40
What is the common denominator of ((-217)/56)/(7/(-12)) and 2 - ((-284)/(-32) - 2)?
56
Let a = 524/7 + -1103/14. What is the common denominator of 946/(-160) - (-4)/(-10) and a?
112
Let r(i) = -i**3 + 43. Let h be r(0). Let a = h - 27. Let s(k) = 2*k**2 + 23*k + 19. What is the least common multiple of s(-11) and a?
16
Suppose -3*i + i + 10 = 0. Let x(r) = 3*r - 12. Suppose 5*t = 2*f + 23, 3*t - 19 = -3*f - f. Calculate the smallest common multiple of f and x(i).
3
Calculate the common denominator of (7137/(-78))/(11*3) and -85/496.
5456
Let z be (-9)/72*4/4487. Let x = 271466/22435 + z. Find the common denominator of -52/11 and x.
110
Let w = 32 + -71. Find the common denominator of 2/6 + w*1/(-4) and -44/15.
60
Let s be 11668/(-18) + (-14)/(-63). Let l = -11/285 - 2487/380. Find the common denominator of l and (-4923)/s - 4/18.
24
Let q = 2/4711 + 164869/37688. Suppose 3*w - 1755 = -2*w. Find the common denominator of q and (-2)/(-1) + w/(-24).
8
Let n = -124 + 137. Calculate the common denominator of 17/12 and (-1)/2*1*n/(-2).
12
Let x(f) = f**2 + 7*f + 1. Let u be (-2)/7 - 108/14. Suppose -55 = -5*o + 2*k, 0*k + 5*k + 43 = 2*o. Calculate the smallest common multiple of x(u) and o.
9
Suppose 2*h = -5*j + 92, 18*h - 21*h - 2*j = -116. What is the least common multiple of h and 18?
36
Suppose -3*b - s + 3*s + 30559 = 0, s + 10185 = b. Let r = b - 224075/22. What is the common denominator of r and -31/20?
220
What is the smallest common multiple of 948 and (-4)/(-3)*-6*6/(-8)?
948
Let f = 823/528 + -4/33. Find the common denominator of f and -87/16.
16
Let w = -27905/2 - -5748525/412. Calculate the common denominator of 33/10 and w.
2060
Let i = 60 + -57. Suppose -2*l + 22 = 3*s, 8 + 7 = i*l. What is the lowest common multiple of 3 and s?
12
Let i = -694 - -673. What is the common denominator of 51/155 and i?
155
Let d = -1 + 11/8. Calculate the common denominator of d and -7/22.
88
Let x = 218433 - 3056129/14. Let k = 753/7 - x. Find the common denominator of 85/4 and k.
4
Suppose 0 = 2*f - 5*y - 35, 0*f - f - 5*y = 5. Calculate the lowest common multiple of 14 and f.
70
Suppose 5*s + 19 = 4*w, -65 = -5*w - 0*w - 2*s. Suppose 7*t = 4*t + 4