510.
20
Let k = -14 + 16. Suppose m + 5*z = 5 + 6, -k*m + z + 11 = 0. Calculate the smallest common multiple of m and 16.
48
Let i = 515 - 365. Calculate the least common multiple of 10 and i.
150
Suppose 5*b + 84 = w, -w - 5*b + 59 = -15. Calculate the smallest common multiple of w and 3.
237
Let q = 20161/8866 - 1/806. Suppose o = -4*j - 13, 0 = -4*o + 3*j - 6*j - 13. What is the common denominator of ((-16)/(-25))/(o/(-15)) and q?
55
Let k be (-38)/(-4) + 5/10. What is the lowest common multiple of 10 and 1/1 - k/5*-5?
110
Let d(k) = k**2 - 4. Let g be d(3). Calculate the least common multiple of 10 and -3 + (3 - (-5)/g).
10
What is the common denominator of -55/102 and (-330)/(-396) + (-75)/68?
204
Suppose 5*w - 10 = 50. Calculate the smallest common multiple of (-130)/(-15) - (-12)/(-18) and w.
24
Let y be 767/(-506) - 2/(-14). Let a = y - -3/322. Calculate the common denominator of a and 1/52.
572
Suppose -u - 2 + 15 = 0. Suppose u*w = 12*w + 8. Calculate the least common multiple of 2 and w.
8
Suppose 4*y + 2*a - 41 = 5*a, -5*y - 5*a + 60 = 0. Let b be 310/4 - 8/16. Let t = -76 + b. What is the lowest common multiple of t and y?
11
Let h(k) = k**3 + 11*k**2 - 3*k - 28. Let z be h(-11). Suppose 0 = -z*l + 2*l + 18. Calculate the least common multiple of 8 and l.
24
Suppose -a = -l - 38, 0*a + 88 = -2*l + 5*a. Let z be (233/58 + -4)*l. Let v = z + 2325/58. Find the common denominator of 55/16 and v.
16
Let j(b) = -102*b**3 - b**2 + 3*b - 1. Let s be j(1). Let d = -97 - s. Calculate the smallest common multiple of d and 20.
20
Suppose -2*d - 18 = -5*d. Let c(l) = l**2 - 6*l + 2. Let w be c(d). Suppose -w*j + 8 = -16. What is the smallest common multiple of j and 4?
12
Let h = -513/296 + 4/37. Calculate the common denominator of h and 9/(-12) + (-1)/2.
8
Suppose -5*g + 16 = 11. Let w be (g/(-2))/(8/(-48)). Suppose -w = i - 2*i. Calculate the smallest common multiple of 15 and i.
15
Suppose 9 = z - 5. Let a = z - -8. Calculate the least common multiple of 32 and a.
352
What is the common denominator of 71/48 and ((-20296)/(-1056) - 10) + -9?
528
Suppose -2*y - 25 = -4*y + c, -42 = -3*y + 3*c. Suppose 56 = -16*g + 18*g. Suppose -8*z = -15*z + g. What is the smallest common multiple of y and z?
44
Let g = -516667/28 - -18450. Calculate the common denominator of g and -7/8.
56
Let z = -2 + 4. Let j(c) = 7*c**3 - 6*c**2 - 23*c. Let m(l) = -l**3 + l + 1. Let p(g) = -j(g) - 6*m(g). What is the lowest common multiple of p(8) and z?
2
Let c = -411159/248356 + 3/8564. What is the common denominator of c and -61/10?
290
Suppose 3*w - 4*c - 2417 - 1353 = 0, 5*w + 2*c = 6266. Let i = -3/755 + 43799/2265. What is the common denominator of ((-1)/4)/(55/w) and i?
30
Suppose 8*v + 259 = 59. Let k = -18 - v. Calculate the least common multiple of 8 and k.
56
Suppose 8*g - 30 = 50. Let l = -7 - -19. What is the lowest common multiple of l and g?
60
Suppose 3*r - 39 = -3*i, 5*r - 110 = i + 3*i. Suppose 0 = -5*z + z. Suppose b = -5*f + 43, -f + 4*b = -z*f + 4. What is the lowest common multiple of r and f?
72
Let h(i) = i**2 + 18*i - 10. Let d be h(-17). Find the common denominator of d/(-90)*(-74)/(-6) and -20/7.
70
Suppose 18*k = 6*k + 360. Calculate the smallest common multiple of 78 and k.
390
Suppose 8*y - 7*y + 2*j = -5, 2*y = 3*j + 11. What is the least common multiple of 3 and y?
3
Let s be (4 + -3)*304 + 0. Suppose -n = -5*j - s, 3*n = j - 2*n + 80. Calculate the common denominator of (-2)/(-5) - (-759)/j and -41/2.
4
Let v = 6 - 1. Let l be (8/5)/((-2)/5). Calculate the least common multiple of l/(-6) - (-8)/24 and v.
5
Let x = 108 - 64. Suppose 0*z - 4*z + x = 0. Let u(d) = d**2 + 4*d + 3. Calculate the lowest common multiple of u(-5) and z.
88
Let t be (-4)/12 - (-1155)/(-9). Let n = t - -108. What is the common denominator of 1/(-3) + 190/(-42) and n?
21
Let g = 713/4 + -6397/36. Find the common denominator of g and 3/4.
36
Let w = -415 - -519. Calculate the least common multiple of 6 and w.
312
Suppose -139 + 13 = -7*g. What is the smallest common multiple of 18 and (4*g)/(-3)*-1?
72
Let h be 13/(-1)*1 + 1. Let k be (-34)/9 + h/54. What is the lowest common multiple of 3/((-44)/(-8) + k) and 10?
10
Suppose 6 = -10*z + 26. Suppose z*d = -2*l + 7 + 47, 0 = -5*l - 4*d + 130. What is the lowest common multiple of 22 and l?
22
Let r(z) be the second derivative of z**5/20 + 2*z**4/3 + 7*z**3/6 - 7*z**2/2 + 6*z. Calculate the least common multiple of r(-5) and 9.
99
Let h(i) = i**3 - 4*i**2 + i - 6. Let q be h(5). Let l be (-354046)/160 + q/40. Let f = l - -2216. Find the common denominator of f and 21/20.
80
Find the common denominator of 38/36 - (1 - 0) and 1976/(-608)*(-6)/(-10).
180
Let d = 100 - 24. Suppose 2*m = -4*y - 20, 0*y - y + d = -4*m. Find the common denominator of -70/3 and 489/m + 1/6.
3
Let i = -595/184 - 124/23. Find the common denominator of i and 19/4.
8
Let a(x) = -x**2 + 0*x**2 - 4*x + x + 8*x. What is the least common multiple of a(4) and 2?
4
Suppose 7*c = -32 + 18. Let o(p) = p**3 + 7*p**2 - p - 3. Let b be o(-7). Calculate the common denominator of (-1854)/(-24)*b/18 and c.
6
Let u = -108777/26 - -46025/11. Find the common denominator of -19/6 and u.
858
Let p be ((-2)/(-5))/((-7)/(-210)). Suppose y + p = -y. Find the common denominator of 83/4 and y/(-9)*(-139)/8.
12
Suppose 2*m + 0*m = -10. Find the common denominator of m/(-10)*53/(-5) and 19/7.
70
Suppose -5*n - 32 = -k, 5*k = 10*n - 5*n + 120. Calculate the lowest common multiple of k and 2.
22
Let d = 200 - 186. What is the smallest common multiple of d and 42?
42
Let i = -2589 - -2607. What is the least common multiple of i and 40?
360
Let c = -6 + 1. Let j be 1278/10 - c/25. Calculate the common denominator of ((-27)/4)/((-24)/j) and -43/10.
10
Let v = 22882/7 + -3276. Let u = 271371 - 2096011/8. Let f = u - 9358. Calculate the common denominator of f and v.
56
Let w = 53/3208 + 4092553/3208. Let d = w + -10299/8. Calculate the common denominator of (2 - -72)*1*(-1)/36 and d.
72
Let w = -29 + 31. What is the lowest common multiple of w and (-234)/(-65) + (-4)/(-10)?
4
Let j = 123541/239148 + -121/657. What is the common denominator of j and 107/56?
728
Let c = -9/190 + 17561/1710. Let j = -427/45 + c. Let o = 1087/30 - j. What is the common denominator of 93/2 and o?
2
Let t = -6072 - -9077. Calculate the common denominator of 53/11 and t/70 - 8/(-14).
22
Let m(t) = -4*t**3 + 8*t + 7. Let n be m(-10). Find the common denominator of (n/60)/(-11) + 1/2 and -137/78.
780
Suppose 5*b + 37 = 2*p + 2*p, 0 = 2*b + 2. Let r = p - 13. Calculate the common denominator of 5/2 and (3/r)/(3/32).
10
Let m = 52 + -42. Suppose 2*n + 5*d - m = 0, 2*n - 4*n - 4*d + 12 = 0. Let q(v) = -v**3 + 5*v**2 - 4*v + 4. Calculate the lowest common multiple of n and q(4).
20
Let w = -214673055/203 + 1057506. Let k = w - 16/29. Find the common denominator of (-8 - -2)/((-100)/(-35)) and k.
70
Find the common denominator of -121/190 and 413/42 - 15/10.
570
Let w be ((-5954)/8*13)/(-4). Let r = w + -2421. Let x = -14/269 - -14851/1076. Find the common denominator of x and r.
16
Calculate the smallest common multiple of (355/3)/(195/234) and 13.
1846
Let l = 41 + -64. Let g = -13 - l. Calculate the smallest common multiple of g and 4.
20
Let k = -44855/56 + 801. Calculate the common denominator of 109/168 and k.
168
Let j(v) = -v**3 + 8*v**2 - 4. Let g be j(7). Suppose 0*i + 5*i = g. Calculate the smallest common multiple of 8 and i.
72
Suppose 2*g - i - 369 = 396, -1895 = -5*g - i. Calculate the lowest common multiple of 12 and g.
1140
Let k be (-160427)/(-30) + -1 + (-2)/10. Let v = 5348 - k. Calculate the common denominator of v and 14/3.
30
Let l(i) = 3*i - 6. Let p be l(-3). Let a = 5001/526 - 2/263. What is the common denominator of a and (46/55)/(12/p)?
22
Suppose 22*u + 16 = -50. What is the lowest common multiple of 9 and 4/(12*(-1)/u)?
9
What is the smallest common multiple of (-3 + 2/2)/(16/(-80)) and 218?
1090
Let y = -4291/3 + 1407. Calculate the common denominator of y and 2905/28*(-4)/10.
6
Suppose -x = -2*l + 16, 3*l + 75 = -0*x - 4*x. Let h = -12 - x. What is the least common multiple of 16 and 82/4 + h/4?
176
Let q = 36 + 4. Calculate the least common multiple of ((-425)/(-170))/(5/