et w be c(-15). Suppose 0*r - 5*r = -w. What is the smallest common multiple of d(5) and r?
6
Let o be (-3 + 3/(-9))*(-3)/191. Let q = 7168/1719 + o. Find the common denominator of q and -2.
9
Suppose -q = 2*x - 47, -17*x + 12*x + 5*q + 125 = 0. Calculate the least common multiple of x and 102.
408
Let m = 2054/3 - 671. Find the common denominator of (-12)/6 + 278/(-12) and m.
6
Suppose -3*k + 5 + 4 = 3*p, -3*p = -5*k - 1. Let t be ((-104)/10)/((-3)/180). Calculate the common denominator of 4/5 and p + (t/20)/6.
5
Let r(s) = 6*s**2 + 2*s + 8*s**2 - 6*s**2. Let f be r(2). Let h = f - 14. What is the lowest common multiple of h and 4?
44
Suppose 4*c = -f + 3*f - 796, -5*c = 5. Calculate the common denominator of (27/f)/(15/14 + -1) and -187/210.
2310
Suppose -2*s + 12 = -5*s. Calculate the common denominator of 3555/36*(-10)/25 and (-2)/s + 14/4.
2
Let g(q) = -2*q**2 - q - 3. Let o be g(-5). Let y be (-4)/6*5116/o. Let h = 71 - y. Calculate the common denominator of h and 87/22.
198
Let a = 100 - 93. Let p = -15075/3256 - -2/407. What is the common denominator of p and a + -3 - 8/(-12)?
24
Suppose -x + 56*o - 52*o = -84, -3*x + o = -252. What is the lowest common multiple of 126 and x?
252
Let s = 307955999/1028 + -299568. Find the common denominator of s and 11/12.
3084
Suppose -6*b = -3*b - 273. Let i be b/2*360/(-224). Let j = i + 64. Calculate the common denominator of -2/3 and j.
24
Let j = 153/70 - 8671/2590. What is the common denominator of j and 23/5?
185
Find the common denominator of -47/60 and ((-2538)/(-1944))/((-2)/6).
60
Suppose c = -4*x - x + 16, 0 = -2*x + 4*c + 24. Let n(z) be the first derivative of 2*z**3/3 - z**2/2 + 2. Calculate the lowest common multiple of n(2) and x.
12
Let r be (8/10)/(8/(-700)*-5). Calculate the common denominator of 1/6 and 8 - 9 - (-1 - (-53)/r).
42
What is the lowest common multiple of 121 and 68/119 - (-150)/7?
242
Let d = -45 + 5. Let m = d - -7. Find the common denominator of (-6)/(-4)*(-62)/m and -61/2.
22
Let q(n) = -n**2 + 11*n + 26. Let u be q(13). Suppose u = 10*i - 7*i - 78. Calculate the lowest common multiple of 3 and 2/13 + 48/i.
6
Let v = 1 - -7. Suppose -2*a = -4*q + 38, v*a = q + 4*a - 6. Let z(i) = -i + 16. What is the smallest common multiple of z(q) and 1?
6
Let v = -224/23 + -255/184. Let s be (-186)/(-14) + -4 + 2. Let c = 88/7 - s. What is the common denominator of c and v?
56
Let o(i) = i**3 + 6*i**2 - 2*i. Suppose 294 = 30*z - 27*z. Calculate the smallest common multiple of o(-6) and z.
588
Suppose l = -9 + 149. What is the lowest common multiple of l and 12?
420
Let d be 990/24*(-12)/(-9)*-3. Find the common denominator of 1/14 and 4/(-22) - 1086/d.
70
Let m be -1 - 6296 - 4*(-1 - 0). Let z = m + 37643/6. What is the common denominator of z and 14/11?
66
Suppose 2*p = 3*m - 11182, -m + 2*p = -4*m + 11174. Let w = 153951/2 + -242141/3. Let o = w + m. Find the common denominator of 145/12 and o.
12
Let d = -4929/7 - -29495/42. What is the common denominator of -62/91 and d?
546
Let o(a) = a**3 + 5*a**2 - 19. Let r be o(-4). Find the common denominator of -91/8 and -74*1/(-66)*r.
88
Let n = -250 + 5419/22. What is the common denominator of -2 - 13/28 - 0 and n?
308
Let a(p) = 14*p - 2. Let s be a(5). Suppose 64 = 4*h - 4*w, 4*h = h - 2*w + s. Calculate the smallest common multiple of h and 2.
20
Calculate the common denominator of 0 + ((-2145)/280)/(-13) and 71/20.
280
Let d = 123/28 - 5/28. What is the common denominator of d and -36/5?
70
What is the common denominator of (-68)/51*(3 + 58/(-48)) and -73*1/(-2*5)?
90
Let c be (1/3)/(1/3). Calculate the smallest common multiple of 5 + 1 + c + -4 + -1 and 8.
8
Let p = -14075/6 + 2330. Calculate the common denominator of p and 1035/(-462) - -2 - (-2)/7.
66
Let p = -49 - -51. Suppose -5*v = 2*z - 59, -4*z + 23 + 40 = 5*v. What is the lowest common multiple of v and p/((-4)/(-3))*(-8)/(-6)?
22
Let g be 2284 - (-3 + 5/1). Let i = g + -27407/12. What is the common denominator of i and 11/3?
12
Let k = 67/980 - -4/49. Calculate the common denominator of 57/8 and k.
40
Suppose s - 9 = 3. Suppose 0 = 16*b - s*b - 24. What is the least common multiple of b and 6?
6
Suppose 5*p - 17 = 2*n, -n + 0*n = -4. What is the lowest common multiple of 3 and (12/3)/4 + p?
6
Let t(v) = 41*v + 2. Let j be t(-2). Let g(c) = c**2 - 5*c - 2. Calculate the smallest common multiple of g(6) and (128/j)/(4/(-50)).
20
Let q be 2/(-6) - (-1)/3. Suppose -3*z - 2*z + 45 = q. Suppose 58*f + 85 + 15 = 68*f. What is the smallest common multiple of z and f?
90
Suppose -4*q - 72 = -4*m, q + 11 = -4*m - 12. Let i = q + 31. Suppose 7*r = i*r - 20. Calculate the lowest common multiple of r and 8.
8
Let h = -7/99 + 5473/396. Let m be 2505/24 + 0 - 1. Let t = 96 - m. What is the common denominator of t and h?
8
Let z(f) = f + 17. Let r be z(-14). Calculate the common denominator of r + 37/28*-2 and 43/6.
42
Let o = -59/4 + 379/24. Let j = 2016 + -42355/21. What is the common denominator of j and o?
168
Let x be 18/(-3) - (-2275)/52. Let p = 40 - x. Calculate the common denominator of (2/(-8))/(1/(-37)) and p.
4
Let y = -70/691 - -9601104/3455. Let q be (-60)/8*-831*8/18. Let g = q - y. Calculate the common denominator of g and 7/4.
20
Let w = 5461 + -229193/42. Calculate the common denominator of 39/70 and w.
210
Calculate the least common multiple of 69 and (360/(-48))/((-5)/12).
414
Suppose 0 = 10*q - 3*q + 1960. Find the common denominator of -79/10 and 8/(-2) + q/(-50).
10
Find the common denominator of -35/162 and 24 - 19 - (0 - (-107)/20).
1620
Suppose 5*y = -3*j + 630, 4*y = 2*y. Calculate the smallest common multiple of j and 8.
840
Let x be (-33)/(-77) - 80/7. Let b = x - -57. Calculate the lowest common multiple of b and 16.
368
Let t(v) = 2*v**3 - 17*v**2 - 7*v - 3. Let z be t(9). Suppose -8*d = -5*d - z. What is the lowest common multiple of d and 3/(-6)*(-8 + 0)?
20
Suppose 4*b + 0*z + z - 78 = 0, 3*b = -z + 58. Suppose 38*s - b = 37*s. Let y = 22 + -8. What is the least common multiple of s and y?
140
Let d = -1 - -1. Suppose -a - a + 44 = d. Let w = 76 + -64. What is the lowest common multiple of a and w?
132
Suppose 174 = 2*w - 4*x, -10*w - x = -8*w - 189. Calculate the least common multiple of 93 and w.
93
Let q = 10 - -4. Suppose -8*a = -11*a + 294. Calculate the smallest common multiple of 3/7 - -274*7/a and q.
140
Let x = -390 - -432. Calculate the least common multiple of x and 56.
168
Let k be (1 - 2)/(1/(-3)). What is the smallest common multiple of 5 - (k - (-1 + 2)) and (-4)/(-7 + 3)*(2 + 0)?
6
Let b(m) = m**3 + m**2. Let v be b(1). Suppose 0 = 2*t + v*t - 64060. Let w = t + -224323/14. Calculate the common denominator of -5/2 and w.
14
Let f = 465 - 315. Calculate the least common multiple of 24 and f.
600
Calculate the smallest common multiple of (-48)/9*(-5 + 20/(-8)) and 150.
600
Let i be 3*(9/(-3) + 0). Let g = 1531/3 + -496. What is the common denominator of g and (-75)/6 + 3/i?
6
Suppose 4*h = 14*h - 70. Suppose -139 - 155 = -h*l. Calculate the common denominator of l and (2/(-44))/((-2)/(-87)).
44
Let w(j) = -j**2. Let z be w(-1). Calculate the smallest common multiple of -4*(-3 + (0 - z)) and 7.
56
Calculate the common denominator of 8/(-6)*(-3894)/(-944) and -85/36.
36
Let f be 28*(-244)/36 + (-2)/9. Calculate the common denominator of 39/8 and (f/8)/(-1)*2.
8
Let v(h) = -2*h**3 - 3*h**2 - h - 2. Let w be v(-2). Suppose 4*r + 3*i - 11 + w = 0, -5*i = -r + 19. What is the lowest common multiple of 40 and r?
40
Let s = 12796 + -8744. Let x = 97265/24 - s. What is the common denominator of 97/14 and x?
168
Calculate the common denominator of 91/32 and (3 - (-99)/2) + -2.
32
Calculate the common denominator of 24/(-530) - 4/(-12)*0 and -44/5.
265
Let r = -1452790/7 + 207025. Let p = 22201/42 + r. Calculate the common denominator of (2/(-14))/(-14*9/4788) and p.
42
Let k = 193 + -2303/12. Let t = 71/1113 - -5/159. What is the common denominator of t and k?
84
Let l(q) = 65*q**2 - 5*q + 3. Calculate the lowest common multiple of 231 and l(1).
693
Find the common denominator of 37/70 and (-321)/(-210)*((-195)/(-6))/13.
140
Suppose -2*j = 2*j - 8. Suppose -4*a = 21 - 61. Calculate the smallest common multiple of j and a.
10
Let f = 326 - 294