ose 5*l = 99 - 19. Suppose 0 = -2*u + 2*i - 2, 8*u - 4*u - i = -10. Let j = 1 - u. What is the lowest common multiple of j and l?
16
Suppose 13 = 5*f - 7. Let p = -2 + f. What is the lowest common multiple of p and ((-1)/(-2))/((-2)/(-24))?
6
Let p(z) = -z**2 - 9*z. Calculate the least common multiple of p(-8) and 20.
40
Let c be -2 - (282890/(-18))/5. Let a = 3145 - c. Find the common denominator of -56/9 and a.
9
Calculate the least common multiple of 2 and 0 + (23 - -4) - 1.
26
Let l = 22 - 31. Let h be (-14)/63 - (-34)/l. Let w = -3 - h. What is the smallest common multiple of w and 5?
5
Let v(t) = t**3 + 9*t**2 + 6*t - 2. Suppose -3*s + 9 = -0*s. Suppose 0*b + 61 = 4*d + s*b, 3*d - 5*b = 53. What is the smallest common multiple of d and v(-8)?
112
Let b = 27528 - 3964015/144. Let x = b - 575/144. What is the common denominator of x and -17/8?
8
Suppose -4*h - 44 = -3*w, 4*w + 4*h - 2*h = 22. Suppose -94 = 3*x - w*x + 3*o, -x - 5*o = -30. What is the lowest common multiple of x and 7?
140
Let n = -20381/1812 - 1/453. Calculate the common denominator of ((-2)/(-24))/(2/106) and n.
12
Let k = -9 - -5. Let o = k - -7. What is the common denominator of 14/o*14/(-16) and -11/16?
48
Suppose 0 = -4*i - 5*u + 87, i + 2*u + 0 - 24 = 0. What is the smallest common multiple of i and 2/9 - 1246/(-63)?
180
Suppose -4*w = w - 905. Find the common denominator of ((-17)/(-5))/(2/3) and w/20 + 2/(-8).
10
Let p = 6 + -3. Let y(t) = t**3 - t**2 - 3*t + 1. Suppose 2*s = 1 + 7. Calculate the least common multiple of s and y(p).
20
Let d(c) = 6*c**2 - 1. Let a be d(-1). Suppose a*l = -0*l. What is the lowest common multiple of 6 and 4*1 - (2 - l)?
6
Let p = 2969 + -35707/12. Find the common denominator of 69/10 and p.
60
Let v be (1987/(-2))/((-2)/(-4)). Let r = v + 13932/7. Calculate the common denominator of 10/(-25) + -113*(-3)/30 and r.
70
Find the common denominator of 14/5 and ((-21)/42)/((-8)/19).
80
Let v(f) = f**3 - 2*f**2 - 3*f + 3. Let n be (-10)/(-70) + 100/(-14). Let o = -2 - n. Calculate the smallest common multiple of v(3) and o.
15
Let p(t) = -7*t - 1. Let j be p(-1). Suppose -j*u = -7*u + 2. What is the lowest common multiple of 6 and u?
6
Let b = -102474080327/10346580 + 1/517329. Let s = b + 9907. Let l = -18118 - -326039/18. Calculate the common denominator of s and l.
180
Let w = -72357 + 941211/13. Let i = w + -4989/104. Calculate the common denominator of i and 115/6.
24
Suppose -7*r = -2*r + 2165. Let l = r + 1276/3. What is the common denominator of l and (-6)/(-33) + 599/33?
3
Let n = -5/578 + -22223/3468. Find the common denominator of 105/22 and n.
132
Let d = 43 + -25. Let l = -3 - -19. What is the least common multiple of l and d?
144
Suppose 0*o + o + m = 13, -5*m = -4*o + 25. What is the smallest common multiple of 30*(14/o - 1) and 14?
84
Let j = 4 + -1. Calculate the smallest common multiple of (-7)/(-3) - j/9 and 12.
12
Suppose -388 = -2*f - 0*f. Let i = -320 + f. Calculate the common denominator of -89/10 and i/(-80) + (-3)/15.
40
Let o(p) = -p**2 + 3*p. Let y be o(9). Let q = 86 + y. What is the least common multiple of 2 and q?
32
Calculate the common denominator of 6/3 - (-115)/20 and -99/14.
28
Suppose u = 2*v - 3*v - 21, 5*v + 2*u + 108 = 0. Calculate the least common multiple of (5/(-2))/((-1)/2) and v/3*9/(-6).
55
Suppose 2*b = 5*j - 19, 2*j = b + 12 - 5. Suppose 4 = 3*n - 2. What is the lowest common multiple of j and n?
10
Suppose -4*n - b - 66 + 201 = 0, -5*n - 5*b + 180 = 0. What is the lowest common multiple of 9 and n?
99
What is the common denominator of -23/12 and (2 - 6/4) + (-121)/54?
108
Let s(x) = -x**2 + 6*x + 22. What is the lowest common multiple of 20 and s(8)?
60
Suppose 5 = 5*l + 35. Let w(t) = t**2 + 2*t - 4. Calculate the smallest common multiple of w(l) and 8.
40
Suppose 4*l - 7*l + 220 = 5*m, 0 = 4*m + 4*l - 176. What is the lowest common multiple of 28 and m?
308
Let a = -4/209 + 9007/1045. Let k = -394/3 + 3197/24. Calculate the common denominator of k and a.
40
Let y = 24829/10 - 2485. Calculate the common denominator of y and -87/94.
470
Let w = 190 + -178. Let o(i) = i**3 + 6*i**2 - 9*i + 4. What is the smallest common multiple of w and o(-7)?
36
Let n be 4/(-10) + (-753591)/97560. Let s = n + -1/1626. Find the common denominator of s and -23/10.
40
Let i(z) = -9*z - 3. Let v be i(-3). Suppose 20 = 3*n + 5*j, -5*j + 1 = 4*n - v. Calculate the lowest common multiple of 8 and 5 + (1 - (-2 + n)).
24
Let c be (-6867)/(-6) + (-1)/(-1). Let l = 1174 - c. Find the common denominator of 44/55 + (66/5 - 0) and l.
2
Suppose 5*y - 11 = -5*q + 34, 0 = 4*y - 3*q - 57. What is the lowest common multiple of y and 58?
348
Suppose 0 = -4*z - 0*z + 16. Suppose z - 6 = -s. Suppose d - s = 8. Calculate the least common multiple of d and 7.
70
Let z be 15/(-4) - 2/8. Calculate the least common multiple of 16 and 136/6 + z/6.
176
Let p = 135 - 133. Calculate the lowest common multiple of p and 24.
24
Let a = -20847 + 168311/8. Let l = -5771947501/29359224 + 78/407767. Let s = l + a. Calculate the common denominator of 143/12 and s.
36
Let q(a) = a**3 + 7*a**2 - 6. Let r be q(-7). Find the common denominator of 3*-3*r/(-8) and -45/4.
4
Let x = -1432/21 + 705/14. Calculate the common denominator of x and -1/2.
6
Let c = 21 - 11. What is the least common multiple of 20 and c?
20
Let v = -123347/530 + -12358/53. Let m = v - -467. Let b = -27/116 - -3503/348. Find the common denominator of b and m.
30
Suppose 0 = -10*q + 15*q + 115. Let z = 45 + q. Calculate the least common multiple of z and 12.
132
Let f = 23/4 + -197/28. Calculate the common denominator of f and 57/8.
56
Let w(u) = -11*u**2 - 2*u + 1. Let r be w(1). Find the common denominator of -19/8 and ((-10)/30)/(r/(-158)).
72
Suppose -s + 1 = -0*r - 3*r, -4*s + 4 = -r. Let t(v) = v + 8. Let w be t(-5). Suppose -c + w*c + 26 = r. What is the common denominator of -45/7 and c?
7
Let g be 4/(-16) + (-6)/8. Let q = 1583/270 + 1/27. What is the common denominator of q and ((-26)/18 - g)*-42?
30
Calculate the common denominator of -24/11 and 1/2 - 327/(-18).
33
Let x(b) = 4*b - 2. What is the lowest common multiple of 22 and x(3)?
110
Let a = 2105 + -14774/7. What is the common denominator of 76/9 and a?
63
Let s be ((-3)/(-6))/((-22)/(-419)). Let b = 19/11 + s. What is the common denominator of b and -57/20?
20
Let a = 5 - 5. Calculate the common denominator of ((-2)/(-4))/((-3)/127) and a.
6
Suppose 4*y = 9*y + 35. Let b(u) = u + 11. Calculate the lowest common multiple of 2 and b(y).
4
Suppose c - 3*g + 2 = -5*g, 4*g - 12 = 0. Calculate the smallest common multiple of 11 - (7 + c + 4) and 1.
8
Let t(r) = r**2 - 6*r - 8. What is the lowest common multiple of t(8) and 3?
24
Let t(n) = -n + 2. Let r be t(4). Let g be 0/((-1 - r) + -2). What is the smallest common multiple of 4 and g - 0 - (2 + -12)?
20
Suppose -20*f + 19*f = 32. What is the common denominator of -58/9 and f?
9
Let a = 484835/18 - 26942. Calculate the common denominator of (4/32)/(5/468) and a.
90
Let t(j) = 4*j + 4. Let l be t(-4). Let r be (-12)/(-5) + l/30. Suppose -3*s - 36 = -4*o - 2*s, 2*o - r*s = 18. Calculate the least common multiple of o and 5.
45
Let r be (-1)/4 + (-866)/(-8). Suppose 0*l - 3*l = -r. Suppose 3*f + 2*t = -0*f + l, f = -2*t + 12. What is the smallest common multiple of f and 12?
12
Let k be 6/(-4)*(-6660)/(-21). Let o = k + 472. What is the common denominator of o and -1/3?
21
Find the common denominator of 7/116 and 3*12/18 + (-218)/28.
812
Let y = -27026559 - -432594341/16. Let a = y - 10582. Let s = 6919/4 + -1745. Calculate the common denominator of s and a.
16
Find the common denominator of -45/8 and (-3 - 2955/72)*(-2)/14.
24
Suppose 5*y = -5*f - 205, 3*y = -f + 5*f + 129. Calculate the least common multiple of 2*1/(-2) + 2 and (-8)/f + 104/18.
6
What is the common denominator of 61/48 and ((-4)/18)/(1/(-33))?
48
Let g = -55 - 8. What is the common denominator of (g/(0 + 1))/2 and 113/6?
6
Let a = -1 - 2. Let p be 2/(-3) - (-7)/a. What is the common denominator of -48/5 and (59/(-4))/(p/(-4))?
15
Suppose 5*n = 104 - 34. What is the lowest common multiple of 30 and n?
210
Suppose -3 = -h - 5. Let i = h + 12. What is the least common multiple of 6 and i*(-1)/4*-2?
3