Suppose -c = -2*c - 2*b + 16, -59 = -5*c - 3*b. Suppose -2*k + 222 = 4*k. Suppose -k + 61 = 4*n. Calculate the lowest common multiple of n and c.
30
Let n(h) = h**3 + 2*h**2 + 6*h - 24. Let k be n(0). Find the common denominator of 4 - ((-124)/k - (-2)/(-4)) and (-1)/1 + 310/36.
18
Let q(j) = 5*j**3 + 10*j**2 - 44*j - 8. What is the lowest common multiple of q(-4) and 416?
416
Let c be 1842/(-4)*60/237. Let z = c - -1645081/14220. Find the common denominator of z and -53/6.
180
Let y be (-4)/10 - (464/40 + -5). Find the common denominator of 4/9 and (6/585)/(y/(-3500)*5).
117
Suppose 2*u = -3927*m + 3928*m - 76, 5*u = -10. Calculate the least common multiple of m and 78.
936
Let w(t) = -3*t + 45. What is the lowest common multiple of w(14) and 1296?
1296
Suppose 13*v - 370 = -695. Calculate the common denominator of 89/17698 and v.
17698
Let l(v) = -4*v**3 + 52*v**2 - 44*v - 47. What is the least common multiple of l(12) and 40/(-3)*(-9 - -6)?
40
Find the common denominator of 39/1568 and 1 + (-2)/(54/15) - 2061/(-162).
4704
Let p = -17 + 62. What is the least common multiple of 1/(-3) + 96/(-36) + (-96)/(-2) and p?
45
Let i be 6/1 + -6027 + 1. Find the common denominator of 11911/i - ((1 - 2) + 0) and 101/20.
140
Let k = 11266 - 67463/6. Let y be -1 + (1 - 0)/(-1). What is the common denominator of (y - 0) + (-104)/84 and k?
42
Let m = 24 - 20. Let z(t) = 4*t - 6. What is the least common multiple of (-4 + 3)/((-4)/344) and z(m)?
430
Suppose 0 = -c + 5*s + 95, -20*s - 285 = -3*c - 23*s. Let h = 1 + 1. Calculate the lowest common multiple of h and c.
190
Let r = -7306464663 + 110342229223897/15102. Let j = -6/839 - r. Calculate the common denominator of (-156)/(-200)*5/(-14)*-7 and j.
180
Let c(w) = -234*w + 10. What is the lowest common multiple of 2 and c(0)?
10
Let m = 516787213/20702857 + -194986/6073. Let v = m - -1/487. Find the common denominator of 95/6 and v.
42
Let z be -3 - -32 - 0/(-2). Let l = 3979/7 + -564. Calculate the common denominator of l and z/15 + (6 - 5).
105
Let f = -129 + 573. What is the common denominator of -37/38 and (4/(-160))/(2/f)?
380
Suppose 3*l - 2*y - 2694 + 1530 = 0, 0 = l + 4*y - 402. What is the smallest common multiple of l and 360?
4680
Let p(f) be the second derivative of -f**3/2 - 25*f**2 - 21*f. Let j be p(-16). What is the lowest common multiple of j + -1 + 138/6 and 6?
60
Suppose -3*k = 139 - 184. Let i = k - -3. Calculate the lowest common multiple of i and 14.
126
Suppose -5*r - 2*b = -3*b - 1305, 0 = -5*r + 3*b + 1295. Let x = -260 + r. Let g = 22 + -2. Calculate the lowest common multiple of x and g.
20
Suppose -k = -3*l + 215, -5*l + 62*k + 359 = 61*k. Calculate the smallest common multiple of 9 and l.
72
Let u be (((-50)/5)/(-5))/(-1). Let t(n) = -13*n + 8. What is the lowest common multiple of t(0) and (158 - u)/4 - -4?
88
Let c(w) = -w**3 + 34*w**2 - 64*w - 1. Let t be c(32). What is the common denominator of 31/25 and (t - 7/((-210)/865))/25?
150
Let z(f) be the third derivative of 2*f**5/15 + f**4/6 - 2*f**3/3 + 6*f**2 - 2*f. What is the smallest common multiple of z(3) and 20?
80
Let x = 15374 + -13640. Calculate the lowest common multiple of 2023 and x.
12138
Let d(k) = 2*k**3 - 4*k**2 - 37*k - 7. Calculate the lowest common multiple of 32 and d(7).
224
Let i(f) = -2*f**2 - 46*f + 7. Let m be i(-23). Calculate the smallest common multiple of 499 and (2 + -1)*(m + -6).
499
Calculate the common denominator of 3/(-27) + 106/1007 and -32/27.
513
Let a be -1846*((-9)/(-27) + (-1)/(-6)). What is the common denominator of 74/9 and a/(-78) - -2*3/24?
36
Find the common denominator of (-77454)/456456 - 12/(-42) and 51/76.
836
Let q = 2271759629/3286 + -691345. Calculate the common denominator of q and -69/8.
13144
Let z = 71309359/459 + -155358. What is the common denominator of 115/108 and z?
1836
Suppose 0 = d + 5*o - 281, -5*o = 6*d - d - 1365. Suppose -225 = 8*r + d. Calculate the common denominator of 1 + -5 + r/(-4) and -3/25.
50
What is the common denominator of 95/36 and (-25)/7*315/28035?
22428
Calculate the common denominator of -43/30 and (-16)/1 + (-43861000)/(-2740680).
29790
Let s be -2 - (-2 - (-1 + 2)). Let r(o) = -4*o + 114. What is the lowest common multiple of (6*(-4)/(-12))/s and r(26)?
10
Suppose 3*z + 3 = 4*z. Suppose 4*l = -3*q + 33, 3*l - l = -z*q + 21. Calculate the smallest common multiple of 24 and l.
24
Let i = -19273/132 + 437/3. Find the common denominator of i and ((-315)/(-28))/9 - 1199/440.
440
Suppose 0 = 2*m - 5*x + 290, -4*m - 4*x = 156 + 452. Let g = 159 + m. What is the least common multiple of 29 and g?
261
Suppose -2*g = -5*x - 37 - 8, g = -2*x + 27. Suppose 0 = -8*n + 3*n + g. Suppose n*u - u = 108. Calculate the least common multiple of u and 36.
108
What is the common denominator of (48/10)/(-4) + 2 + (-5864)/2080 and 55/24?
312
Calculate the smallest common multiple of 20 and 10 - ((-12)/(-15) - (-4884)/(-5)).
9860
Let f = 177 - 109. Find the common denominator of (-57)/f + (-3)/6 and -107/22.
748
Let l(h) = 8*h**2 - 182*h - 34. Suppose 34 + 80 = 3*x. What is the smallest common multiple of x and l(23)?
228
Suppose 0 = 448*l - 449*l + 152. Let q = l - 70. Calculate the smallest common multiple of q and 2.
82
Let t = 131/30 - 617/110. Calculate the common denominator of -46/1623 and t.
17853
Let c(h) = h**2 + 22*h + 44. Let g be c(-20). Suppose -4*x = -8*x - 8, -g*x = k + 16. What is the least common multiple of 64 and (k/(-6))/(4/6)?
64
Calculate the common denominator of (-1)/(-162)*((-10)/35)/((-8)/(-804)) and -143/126.
378
Calculate the common denominator of ((-6)/(-1299))/((-624)/(-5538)) and -19/52.
22516
Suppose 58 + 10 = 2*r + 2*d, d = 5*r - 206. Calculate the least common multiple of 4 and r.
40
Let g(c) = 10 - 2*c + 4*c - 80 - 2. Let n be g(0). Let p = 79 + n. What is the smallest common multiple of 4 and p?
28
Suppose 868 + 113 = 102*c + 7*c. Calculate the lowest common multiple of 1176 and c.
3528
Suppose -22*d - 19421 = -55875 - 12672. What is the lowest common multiple of d and 319?
2233
Suppose -59*s + 1171 = 137*s - 201. Let h(d) = -d - 7. Let j be h(-12). Suppose j*x - 8 = 7. Calculate the least common multiple of s and x.
21
Let a be 3/8 - (-117)/72. Let q(g) = 2*g**2 - 6. Let c be q(a). Calculate the least common multiple of 10 and (-35)/5*(-2)/c.
70
Let m = -13416 + 13520. What is the least common multiple of 462 and m?
24024
Suppose 3*a - 4*x = 7*a - 400, -3*a + 4*x + 300 = 0. Suppose -2*g - t + 28 = -69, g = 4*t + 17. What is the lowest common multiple of g and a?
900
Let z = 1842119/2830 + 1804/283. Let l be (-4 - -1) + (-2601)/4. Let r = l + z. Calculate the common denominator of 95/4 and r.
20
Suppose 132 = 5*x + 42. Let b(q) = q**3 + 7*q**2 + 7*q + 7. Calculate the lowest common multiple of b(-6) and x.
18
Calculate the smallest common multiple of 7 + -2*(21/(-14) - 4) and 509.
9162
Let z(n) = 213*n - 102. Calculate the lowest common multiple of 27 and z(6).
10584
Calculate the smallest common multiple of (-3230)/(-114)*(-864)/(-30) and 136.
816
Let j(v) = -19*v**2 + 16*v**2 + 4 - 34*v + 3*v**3 + 38*v. Calculate the lowest common multiple of 11 and j(2).
264
Calculate the common denominator of 445/(-267) + 39/45 and 89/15.
15
Let o be ((-102)/(-1008))/(2/1362). Let l = 545/8 - o. Let b = -299/48 - -37/6. What is the common denominator of b and l?
112
Let s = 21457/1364 - 463/31. Calculate the common denominator of -95/46 and s.
1012
Let j be (-445)/(-35) + 2/7. Let u(y) = -81*y + 3. Let s be u(j). What is the common denominator of 25/14 and -2*1/(-10) - 1865/s?
42
Let y = -214651115/951 + 225711. Find the common denominator of 29/27 and y.
8559
Suppose 1595*v + 37400 = 1663*v. What is the lowest common multiple of 1300 and v?
14300
Suppose -2*g = 13*g - 900. Calculate the least common multiple of g/45*(-135)/(-2) and 18.
90
Let a = -9 + 9. Suppose -2*h + 4*r + r = 17, a = h + 4*r - 24. What is the common denominator of (-97)/3*(h + 222/(-60)) and 101/10?
10
Let v = 17/6546 + 21555893/32730. Let h(t) = 29*t**2 - 11*t - 15. Let n be h(5). Let q = n - v. Find the common denominator of 53/12 and q.
60
Suppose 70 = -88*n - 68*n + 1630. Let y(d) = -17*d - 1. Suppose 0 = -2*m - 0 - 2. Calculate the least common multiple of y(m) a