s the lowest common multiple of ((-45)/6 - -3)*j and 2?
18
Let t(l) be the second derivative of l**5/20 - 2*l**4/3 - 4*l**3/3 + 6*l**2 - 17*l. Calculate the least common multiple of 18 and t(9).
126
Calculate the common denominator of (0 + (-15)/6)*(-5537)/(-1225) and 43/830.
830
Let a be (-8)/44 - ((-1566)/22)/1. Suppose 5*n - 266 = -a. What is the least common multiple of 30 and n?
390
Suppose -4*t = -5*x - 36, 0 = -3*t + t - 5*x + 48. Calculate the lowest common multiple of (180/(-35))/(-6)*t and 6.
12
Let s = -2938039/5269605 + -1/31937. Calculate the common denominator of -149/6 and s.
330
Let h(y) = -2*y - 17. Suppose 0*b = -3*b + 6. Suppose -2 = -n + b*n, m + 3 = -2*n. Calculate the smallest common multiple of m and h(-12).
7
Let r(g) = 3*g**2 - 6*g + 6. Suppose -4*z + 5*h = 17, h = -z + 4*z - 1. What is the lowest common multiple of r(z) and 8?
24
Let i(v) = 106*v**2 - 2*v + 14. Calculate the lowest common multiple of i(-4) and 2.
1718
Let x be (-3 + 2)*3 + 3. What is the smallest common multiple of 2/3*3 - x and 10?
10
Let f(y) = -4*y - 14. Let h be 2/(-2) + (12 - 19). What is the least common multiple of f(h) and 16?
144
Let r = -69799/77071 + 1/4166. What is the common denominator of r and -3 + 4/(72/(-37))?
666
Suppose 2*h - 7 = 3*p + 175, -10 = 2*h. Let s = -123107/14 + 8787. Calculate the common denominator of (108/(-30))/(p/70) and s.
112
Suppose b + 9 - 22 = 4*x, 3*x + 8 = -b. What is the least common multiple of 16/(-12)*-15*b and 10?
20
What is the least common multiple of 10 and 1/2*(5 - (-2 - 1))?
20
Let i = 344/443 + -100039/180744. Calculate the common denominator of -7/153 and i.
1224
Suppose 2821 = -4*m + 2965. Calculate the least common multiple of 144 and m.
144
Let i = 296/5 + -3668/65. What is the common denominator of (-243)/36 + -6 - -5 and i?
52
Let u = 1717 + -1547. Let d = -5 + 7. Calculate the smallest common multiple of u and d.
170
Let t be (-140)/7 + -2 + 0. What is the common denominator of (106/t)/(-13 + 12) and 47/5?
55
Let s(h) = -h**3 - h**2 + h + 19. Let r be s(0). Let j = 73 - r. Calculate the least common multiple of j and 6.
54
Suppose 19 = 2*t + 4*y - 17, 0 = 5*t - y - 35. Let x = -25 + 33. Suppose -x + 2 = -3*p. What is the smallest common multiple of p and t?
8
Let b be -3 - -3 - (89458/(-13320) + 3). Let a = b - 22/333. Calculate the common denominator of a and 69/20.
20
Let g be (-220)/(-2)*10/20. Suppose 5*h = 50 + g. Calculate the common denominator of h/(-28)*(-194)/6 and 25/2.
4
Calculate the least common multiple of 18 and (10556/(-65))/14*(-29 - 1).
1044
Calculate the smallest common multiple of 468 and ((-3 - -1)/(-4))/(24/864).
468
Let t = 10 - 2. Suppose -3*p - l - 3*l = -2, 4*p + 4*l = t. Let b(r) = 4*r - 4. Calculate the least common multiple of b(5) and p.
48
Calculate the smallest common multiple of 20 and 6/((-54)/(-3)) + 29/3.
20
Let o be (-167 + 1)*(-1)/1. Let v = 1113 + -11183/10. What is the common denominator of 1/(40/o) - -1 and v?
20
Suppose -h + q = 7, -27 + 7 = 3*h - 4*q. What is the least common multiple of 1/((-36)/h + -4) and 10?
10
Suppose -3*y + 4*r + 820 = 0, -4*y = -8*y + 2*r + 1080. Calculate the lowest common multiple of y and 14.
1876
Suppose 3*t = 4*t. Suppose t = 2*x - 3*l + 421, 2*x + 251 = -l - 158. What is the common denominator of 1 + -2 - x/(-20) and 3/28?
140
Let f = -7728 - -309047/40. Find the common denominator of -77/116 and f.
1160
Let f be 40*(3 + 0 + (-7 - -3)). What is the common denominator of 1/(-3)*474/f and -109/10?
20
Suppose -5*n + 4*d + 156 = 0, 20*n - 16*n - 2*d - 126 = 0. What is the least common multiple of 32 and n?
32
Let b = -62 + 68. Suppose 3*g = 2*z + b, 0*g - 4*z + 24 = 3*g. What is the smallest common multiple of 20 and g?
20
Let w = 36537/96628 - 78/833. Find the common denominator of w and -111/580.
580
Let n(w) = 38*w + 132. Calculate the least common multiple of 120 and n(0).
1320
Find the common denominator of ((-26)/(-10))/((160/(-25))/1) and 101/44.
352
Let k = -1029967/1457925 + -4/19439. What is the common denominator of k and 50/9?
225
Suppose -4*z + 2*l = 28, -5 = -4*l + 3. Calculate the smallest common multiple of 270/(-63)*28/z and 6.
60
Let t(g) = g**3 + 7*g**2 + 4*g - 5. Let r be t(-6). What is the common denominator of 14/(0 + (-4)/r) and 5 + 33/(-16) + -1?
16
Let m(f) = 6*f**2 + 2*f - 2. Calculate the lowest common multiple of (80/(-36))/(-4*13/234) and m(-2).
90
Let k = -133/5 - -23. Suppose 3*z - 4*a - 51 = 0, 4*a - 67 + 27 = -4*z. What is the common denominator of z and k?
5
Calculate the common denominator of 4/14 + -3 + 734/(-168) and 33/14.
84
Let r(b) = 7*b. Find the common denominator of r(-2) and (30/100)/((-24)/(-530)).
8
Let u be (2 - 0)/(10/(-25)). Calculate the lowest common multiple of u/(10/(-22)) + 1 and (1/(-2))/((-1)/18).
36
Let o = 487/6 + -82. What is the common denominator of o and 9/220?
660
Suppose o + 18 = -2*d + 4*o, d - 5*o - 5 = 0. Calculate the common denominator of -19/30 and 60/d - (-248)/42.
210
Calculate the common denominator of 3/16 and (4 + 27/(-7))/((-12)/(-686)).
48
Suppose -3*q + 3*w + 40 = -w, -2*q + 5*w = -36. Find the common denominator of 57/(-108) + (-2)/q and 1/(-14)*269 + (-4)/14.
18
Calculate the lowest common multiple of (-22)/(-1 - -2)*-1 and (9/2)/(-4 + 105/24).
132
Suppose 2*k = -2*g + 2662, -271 = -3*k - 4*g + 3721. Let n = k - -203. Let u = -18355/12 + n. Calculate the common denominator of u and 1/20.
60
What is the least common multiple of (9 - 107)*(-8 - -7) and 42?
294
Let u = -28 + 25. What is the smallest common multiple of 3 and (-4)/(-6)*u/1 + 5?
3
Let d(n) = 3*n**2 + 1. Let b be -2*1/2*(0 + -20). Calculate the lowest common multiple of (2 - -2)/(8/b) and d(-1).
20
What is the common denominator of (-690)/800 - ((-11)/(-4) + -3) and 83/48?
240
Suppose -3*x = -4*x - 4*l + 3, 6 = 2*x + l. Suppose 5*v = x*v + 16. What is the lowest common multiple of 2*(8 + -1 - 1) and v?
24
Let k(p) = -p**2 - 3*p - 1. Suppose 0 = 5*x + 1 - 6. Suppose -1 = -l + 3*z, -4*l + 4*z + x = -3. Calculate the lowest common multiple of l and k(-1).
1
Let r(l) = 0*l**2 + 8 - l + 3*l**2 + l**3 - 2*l**2 - 6. Calculate the least common multiple of 30 and r(0).
30
Let b = -7860 - -896029/114. What is the common denominator of -127/6 and b?
114
What is the common denominator of 1075/450*(-6)/(-4) and -38/9?
36
Suppose -9 = -38*y + 41*y. What is the common denominator of (-6)/(-15) - 229/10 and (3/3)/(2*y/(-11))?
6
Let w = 3546 - 460983/130. Calculate the common denominator of w and 43/26.
130
Calculate the smallest common multiple of (-1 - 2)/((-15)/105) and 99.
693
Let k = 897 + -781. What is the least common multiple of k and 24?
696
Suppose 3*p + 3*q = 27, 4*p - 3*q = 18 - 3. Let l(w) = 23*w - 44. What is the lowest common multiple of l(2) and p?
6
Let m be (-3)/(-16 - -4) + (-323)/(-4). Let j = -563/10 + 329/5. Find the common denominator of j and 1/(-14)*(m + -2).
14
Suppose -105*d = -100*d + 70. Calculate the least common multiple of 6 and (-4)/d - 480/(-35).
42
Let v = -2/1231 - 17224/6155. Find the common denominator of -1 + 1/(-2) + 0 and v.
10
Let a be 34/17 - (-48)/82. Let g = -1297/656 - a. Calculate the common denominator of g and 55/2.
16
Let n = -2/3671 - 47695/51394. Calculate the common denominator of n and -49/36.
252
Let x be ((-1)/(-51))/(32/4848). Let c = x - -3/17. What is the common denominator of -53/4 and c?
68
Suppose 2*h = -3*z + 7, -8 - 2 = -2*h. Let o be (-1 + 2)*-8 + z. Find the common denominator of 3/2*(-20)/o and 4/9.
9
Let i be (-310)/(-5)*(1/2 - 0). Suppose 4*w + 31 = -29. Let d = w + i. Calculate the lowest common multiple of d and 18.
144
Let d = 21085093/6 + -3505022. Let o = d - 9135. What is the common denominator of o and ((-17)/5)/((-12)/(-15))?
12
Let y be (-69)/(-2)*4/6. Suppose -y = 3*p - 35. Suppose p*w = 34 - 10. What is the smallest common multiple of w and 11?
66
Let z = 224 + -208. Suppose 0 = -0*s + 4*s - 80. What is the lowest common multiple of (-50)/(-2)*8/s and z?
80
Let x = -36 + 182. Let c(w) = -w**2 - 10*w + 4. What is the lowest common multiple of x and c(-8)?
1460
Suppose 5*d - 230 = 70. Suppose 0 = -3*g - 2*b + 44, -3*g - d = -7*g - 3*b. What is the smallest common multiple of g and 12?
12
Suppose 583 + 341 = 7*p. What is 