 (-268)/(-24) + -6 + 4/(-8) and (-1)/((-160)/156 + 1).
3
Suppose 2*r - 10 = -2*q, -5*q = 2*r + 2*r - 22. Suppose -179 + 65 = -r*u. Let v = -37 + u. Calculate the lowest common multiple of v and 7.
7
Let j(d) = 12 - 26 + d**2 + 3 + 12*d. Let a(i) = -i - 6. Let m be a(7). Calculate the least common multiple of j(m) and 8.
8
Let d = 3657/560 + 19/112. Let c = 198 - 193. Find the common denominator of (6 - c)*(-50)/6 and d.
30
Suppose -2*b + 18 = -b. Calculate the lowest common multiple of b and 21/(-1 - (-6)/4).
126
Calculate the common denominator of -27/8 and (-2 - (-40)/18) + 299/4446.
152
Let b(z) = 2*z + 27. Let n be b(-16). Calculate the smallest common multiple of n/(-1)*(-1)/(-4)*4 and 28.
140
Let s(y) = 1003*y**2 + 4*y + 1. Let n be s(4). Let z = 2300 + -32131/14. Find the common denominator of (-2)/11 + n/330 and z.
14
Suppose -37*o + 30*o = -147. Calculate the lowest common multiple of 21 and o.
21
Suppose 59*z = 54*z + 570. Let k = z - 78. What is the lowest common multiple of 32 and k?
288
Suppose -2*b + 5*h = 0, -3*b = 2*h - 6*h - 7. Calculate the least common multiple of 90 and b.
90
Let b be 4/16 + (-1758)/(-8). Find the common denominator of (39/(-520))/((-3)/(-46)) and (8/b)/(12/1545).
220
Suppose -21*w + 5*w = -480. What is the lowest common multiple of w and 18?
90
Calculate the common denominator of -74/15 and (-72)/(-2556)*(-52)/6.
1065
Let o be (-2)/4*46 + -4. Let n = o - -30. What is the lowest common multiple of n and 14?
42
Let r be (-5)/(-20) + 68/(-16). Let t = -1231 - -19703/16. Find the common denominator of t and (30 + r)*4/20.
80
Suppose -4*q = 4*y - 316, -5*q = -y + 63 + 46. Calculate the lowest common multiple of y and 9.
252
Let a = -38363854 + 1151061067/30. Let r = -4847 + a. What is the common denominator of r and -5/18?
90
Let f = -35902289755/24386676 - 35/567132. Let y = 1472 + f. Calculate the common denominator of y and 41/6.
258
Let v = -15683/1134 - -829/81. Calculate the common denominator of v and -23/24.
168
Suppose -5*x - 1 + 61 = -2*y, 4*x = y + 48. Suppose -x = -3*q + 6. Calculate the lowest common multiple of q + (1 - 0)*-2 and 6.
12
Calculate the common denominator of -22*((-4)/(-18) - (-352)/(-288)) and 63/818.
818
Let n = -3 + 28. Let v(h) = h + 1. What is the lowest common multiple of v(9) and (-3)/5 + 65/n?
10
Let b(h) = h**2 - 18*h - 82. Calculate the lowest common multiple of b(22) and 206.
618
Let s(u) = -428*u - 28. Let o be s(8). Let w = 416/2801 - 57666683/16806. Let l = o - w. What is the common denominator of l and 83/6?
6
Let a = 29 - 24. Suppose 5*o - 28 = -2*s, 6*o = 2*o - a*s + 19. What is the smallest common multiple of o and 33?
66
Suppose -32*z + 1912 + 7240 = 0. What is the lowest common multiple of 8 and z?
1144
Let x = 2585765/72 + -35914. Find the common denominator of x and -21/26.
936
Suppose -2*j = -m - m + 46, j - 67 = -4*m. What is the least common multiple of (9*(-2)/(-10))/((-18)/(-60)) and m?
18
Let o be 9/((-36)/(-16)) + 14. Let n(x) = -x**2 + 13 - 27*x - 3 + o*x. Calculate the smallest common multiple of n(-9) and 38.
190
Suppose b + 10 = -3*a, 0*b + 20 = 2*b - 2*a. Suppose -b*s + 3*c = 75, s + 7*c = 2*c + 13. What is the common denominator of 177/s - (-6)/(-8) and -7/9?
18
Let a be 3 + (-10)/2 + 2. Let b = 4 - a. Suppose 79 = b*x - j, x + 78 = 5*x - 2*j. Calculate the smallest common multiple of x and 20.
20
Let i = -141 + 172. Suppose 0 = 19*j + i - 145. What is the smallest common multiple of j and 8?
24
Let d(h) = -196*h**3 + h**2 - h. Let b be d(1). Let x = b - -616/3. Find the common denominator of -74/9 and x.
9
Suppose -3226 = 4*n - 418. Find the common denominator of (27/(-162))/(-7*4/n) and -27/4.
28
Find the common denominator of (1/((-10)/(-76)))/(216/(-405)) and (-19)/(-42) + 6/(-21).
12
Let x = -303 - -310. Calculate the lowest common multiple of x and 14.
14
Let y = -127/45 - -1/45. What is the common denominator of y and 107/6?
30
Let y be -2 - (-24)/10 - 46/(-10). Suppose 9 + 61 = y*w. Calculate the least common multiple of 10 and w.
70
Suppose 0 = -4*a + 8 - 0. Suppose -4*r = r - 4*l - 11, -a*r - 2*l = 10. Calculate the smallest common multiple of 2 and (7 + -2)*(r + 2).
10
Suppose 10 = 3*z - 2. Suppose 0*f + 6*f - 72 = 0. Calculate the lowest common multiple of f and z.
12
Let n = 18489/5860 + -3/586. Find the common denominator of n and ((-2340)/36)/(-8*-1*2).
80
Let i be -2 - 9/(29562759/(-6569376)). Let h = 19131481213/91973028 - i. Let d = 1375/7 - h. What is the common denominator of d and 35/4?
12
Suppose -6*l = -5*w - 7*l + 25, 2*l = -w + 5. What is the least common multiple of w and 424?
2120
Let t = -232 - -250. Calculate the smallest common multiple of 105 and t.
630
Let a = -4954 + 3533. Let u be 10/(-15) + a/(-3). Let g = 867/2 - u. Find the common denominator of -149/12 and g.
12
Let u = 2423/60 + -234/5. Calculate the common denominator of -59/30 and u.
60
Let r(o) = o**2 + 5*o - 8. Let y be r(5). What is the smallest common multiple of 27 and (72/y - 6/(-21)) + 19?
189
Let o(i) = -4*i - 4. Let l = 109 - 57. Let u = l - 46. What is the lowest common multiple of o(-3) and u?
24
Let t be (-2 - 0)*(-27)/(-18). Let d(g) = -4*g - 3. What is the smallest common multiple of d(-3) and 4 + 0 + t + 0?
9
Suppose 84 = f + j - 12, 3*f + 2*j = 284. Calculate the least common multiple of 4 and f.
92
Suppose 1894*w = 1891*w + 585. What is the lowest common multiple of 3 and w?
195
Let h(j) = -31*j + 9. Let s(k) = 46*k - 14. Let a(c) = -8*h(c) - 5*s(c). Find the common denominator of a(2) and 48.
1
Calculate the least common multiple of 12 and (-2)/13 - (7470/(-78))/5.
228
Let u(a) = -a**3 - 2*a**2 + 4. Let d be u(0). Suppose -d*q + 2*w = -50, 2*w = 2*q - 3*q. What is the smallest common multiple of 3 and q?
30
Let n = 4 + 0. Let q(x) = x**3 + 5*x**2 - 23*x + 16. What is the lowest common multiple of q(-8) and n?
8
Let n be 7726/(-3720) + -1*(1 - 0). Let x = -5/186 - n. Calculate the common denominator of x and 89/2.
20
Let i = 23/137 + -10555/4932. Calculate the common denominator of i and 151/66.
396
Let i = 16 + 2. Suppose 4*u + 8 = 0, -5*s + 4*u + i = -0*s. Calculate the least common multiple of s and 174/10 + (-9)/(-15).
18
Let z = -4632 - -111289/24. Suppose 11 = k + 4*c - 2, 0 = -2*c + 2. Calculate the common denominator of z and k*(1/(-88))/((-15)/(-700)).
264
Suppose 126*f - 122*f + 16 = 0. Let a = 4 - 2. Calculate the least common multiple of (-8)/a + 4 - f and 4.
4
What is the least common multiple of 0 + (-15)/(-3) + (0 - -13) and 48?
144
Let w = -7638249345/1873894 + 85/85177. Let x = w - -4078. Find the common denominator of 13/4 and x.
44
Suppose 2*v - 206 = -4*m, 5*m - 3*v - 177 = 2*m. What is the lowest common multiple of m and 48?
432
Let f be (-6147)/(-5) - (-102)/17. Let s be -12*(422/4 - 2). Let z = s + f. Find the common denominator of 15/7 and z.
35
Suppose 5*l - 73 - 387 = 5*s, -l - s = -92. Suppose -2*q = -4*v + 218, -3*v + 68 = 2*q - l. What is the common denominator of -15/2 and 8/36 - 741/v?
2
Suppose 6*c - 3*c - 3*a + 39 = 0, 32 = -4*c - a. What is the least common multiple of -6 - -2 - (c + -3) and 20?
40
Let n be (-30)/((63/(-6))/(-7)). Find the common denominator of 94/n - (-5 + 7) and 113*((-3)/(-18) + 0).
30
Let j = 181685/410022 + 19/2531. Find the common denominator of j and -23/45.
810
Let w = -484 - -864. Let s = w - 2665/7. What is the common denominator of -26/11 and s?
77
Let z(k) be the second derivative of -k**3/2 - 8*k**2 - 2*k. Calculate the lowest common multiple of z(-6) and 16.
16
Suppose -186*a - 1032 = -192*a. Calculate the least common multiple of 215 and a.
860
Let c = -41 + 35. Find the common denominator of 89/15 and 232/(-96)*c/(-15).
30
Suppose 5 = -p + 4, 4*p = i - 40. Calculate the smallest common multiple of i and 18.
36
Calculate the common denominator of -27/1118 and (-8)/440*-10 - (-619)/44.
2236
Let u(q) = q**3 - 2*q**2 + 2. Let l be u(2). Suppose 35 = 3*b - j, -l*b - 2*j + 10 = -0*b. Calculate the least common multiple of b and 7.
70
Let n(x) = -4*x**2 - x + 5. Let k be n(-5). Calculate the common denominator of -73/3 and 50/20*(-327)/k.
12
Suppose -3*y + 4*y = 8. Let w(m) = 2*m + 1. Let d(n) = 2*n - 70. Let c(l) = -d(l) + 4*w(l). What is the least common multiple of y and c(-10