ppose 0 = -n + u - 59, -3*u + 0*u = n + 39. Let v = -2007 - -18035/9. Find the common denominator of (-1 + 2)*330/n and v.
9
What is the smallest common multiple of (5/3)/((-9)/162*-2) and 18?
90
Suppose -670 = f - 691. Let s(m) = m**3 - 7*m**2 + 4*m + 8. Calculate the least common multiple of f and s(7).
252
Let k(t) = -19*t - 1. Let n be k(-1). Let l = 13/2 - n. Find the common denominator of l and (21 - 0)*(-30)/330.
22
Let q(y) = 147*y - 23. Let d be q(-3). Find the common denominator of d/(-12)*((-130)/(-112) - 1) and -77/62.
434
Let k = -1 + 2. Let o(n) = n**2 - 10*n + 7. Let i(m) = 10*m**2 - 2*m - 2. Let w be i(-1). Calculate the smallest common multiple of k and o(w).
7
Let g = 2573935/137 + -18788. Let m = -4589/29044 - g. Let s = m - 4655/1908. Find the common denominator of s and 62/3.
9
Let f(k) = -36754*k**2 - 6*k + 5. Let b be f(6). Let q be b/42*2/10. Let z = -6286 - q. Calculate the common denominator of z and 71/2.
6
Find the common denominator of -4 + 1201/(-28)*114/(-1235) and 45/14.
910
Suppose -10 = -2*l + 22. Let w = 9 - -1. Calculate the least common multiple of w and l.
80
Calculate the common denominator of 29/216 and 95/(-4)*(-60)/(-350).
1512
Let k = 5 + -23. Let b = k + 30. Calculate the smallest common multiple of b and 8.
24
Let o = -31 - -64. Let n = -11 + o. Let d = n + -12. What is the least common multiple of d and 8?
40
Let k(j) = j**2 + 4*j + 23. What is the least common multiple of k(6) and 9?
747
What is the lowest common multiple of 18 and 1*192 + (20 - 14)?
198
Let b be (0 - 1)/((-3)/(-21)). Let p = -4 - b. Suppose -p*t + 9 = -18. Calculate the lowest common multiple of 4 and t.
36
Let l = -36 - -16. Let w = 84 + l. Suppose -3*o = -7*o + w. Calculate the lowest common multiple of o and 2.
16
Let k be -2 + (1 - 446/(-40)). Let b = k + -97/30. What is the common denominator of (-4)/(-10) + 866/60 and b?
12
Let l(k) = 2*k**3 + 20*k**2 + 11*k - 28. Calculate the least common multiple of 25 and l(-9).
175
Let z(u) = 18 - 12*u + 6 - 46 - 42. Calculate the lowest common multiple of z(-10) and 8.
56
Let a be (-92117)/(-3498) - (1 + 1). Let d = 1/1166 - a. What is the common denominator of (-2)/4 + (6 - (-407)/110) and d?
15
Suppose 107 = 4*d + 3*s, 3*d - 5*s = 2*d + 21. Suppose 2*t + 5*p = 3*p - 30, 2*p = 3*t + 45. Let j = t + d. What is the smallest common multiple of j and 10?
110
Let k = 146 + -86. What is the common denominator of (-18)/(-45) - (-41)/k and -55/4?
12
Let y = -2/19419 + 576101/38838. Calculate the common denominator of y and (-133)/(-6)*(-1)/4.
24
Let a = -1649/3528 - -4/441. Let g = 57 + -52. Find the common denominator of (2 + (-1228)/(-16))*g/(-25) and a.
24
Let w be ((-3)/9*-3 + -1)/(-2). Let p(t) = t**3 + 2*t**2 + 2*t - 20. Calculate the common denominator of -61/8 and p(w).
8
Let y = 2660 - 2220. What is the lowest common multiple of y and 44?
440
Let x(v) = 42*v**2 - 3*v + 16. Let t be x(-13). Let f = t - 142997/20. Calculate the common denominator of -63/2 and f.
20
Let t = -6601/12 + 2181/4. Calculate the common denominator of -31/92 and t.
276
Calculate the common denominator of -107/50 and (-11)/((-3025)/(-10))*(-590)/40.
550
Let x(k) = -k**3 + 7*k**2 - 4*k + 11. Let p be x(7). Let h = 16 + p. Calculate the common denominator of 73/22 and (-16)/(-320)*(-201 + h).
110
Let y(b) = -5*b - 16. Let p(q) = 15*q**3 + 2*q**2 - q. Calculate the smallest common multiple of y(-4) and p(1).
16
Suppose -5*p - 5*w + 13 = -2, -17 = p + 5*w. Suppose -2*g - 27 = -71. Calculate the least common multiple of p and g.
88
Let h = 11 - 12. Let y(x) = x + 1. Let o be y(h). What is the smallest common multiple of -1 - o - (9 - 18) and 7?
56
Calculate the common denominator of (2*(-2)/10)/(256/430) and 43/11.
704
Suppose -86*x + 87*x = 84. Calculate the lowest common multiple of x and 42.
84
Let q = 11977 - 347285/29. Find the common denominator of q and 47/7.
203
Let j(g) = -37*g + 5. Let v be j(-3). Suppose t = -4*d + 56, -3*t - 2*d + v = -3*d. Suppose 0*x = -2*x + t. What is the lowest common multiple of x and 16?
80
Suppose -74*c + 77*c = 6. Calculate the lowest common multiple of c and (-3 - -4) + 2/2.
2
Let a(u) = 114*u**2 - 2*u + 1. Let t(r) = r + 11. Let w be t(-10). Let o be a(w). Calculate the common denominator of -4/9 and o/(-20) + 6/15.
36
Suppose -p - 3*w + 1 = -4*w, w = 5*p - 17. Suppose -p*x + 52 = -12. What is the smallest common multiple of x and 268?
1072
Let u = 398 - 394. What is the lowest common multiple of 12 and u?
12
Let j be (-1)/5 - (-7)/35. Suppose -3*i + 35980 = 4*s, -5*s + j*i + 44952 = -2*i. Let h = s - 108031/12. Calculate the common denominator of h and -67/8.
24
Let n = 1009/52 - 119/13. What is the common denominator of 71/82 and n?
164
Calculate the common denominator of 151/84 and (11/(88/156))/(588/(-16)).
588
Let b(w) = -w**2 - 7*w + 70. Calculate the lowest common multiple of 20 and b(-12).
20
Suppose -4*b + 1021 = b - 4*n, 3*n = 3. Suppose -4*q = q + b. Find the common denominator of q/5 - 56/14 and -119/12.
60
Let h be ((-3)/2)/(30/(-160)). Suppose -3*k - 108 = -5*k. What is the smallest common multiple of h/((1 + 0)/1) and k?
216
Suppose 5*a - 2*v = v + 27, -v - 7 = -a. Suppose 0 = b + 5*f + 1, -a*b - 2 + 11 = 3*f. What is the smallest common multiple of 26 and b?
52
Let n(p) = 3*p**2 + 2*p - 2. Suppose -11*c = c - 396. Let z = 37 - c. What is the smallest common multiple of n(-2) and z?
12
Let t = -35470 + 2553949/72. Calculate the common denominator of -40/3 and t.
72
Let i be (-1 - 0)/((-3)/102). Suppose -2*l - 28 + i = 0. Calculate the least common multiple of 7 and l.
21
Suppose 2*y + 38 = -3*h + 5*h, 3*y + 63 = 5*h. Calculate the least common multiple of 2 and 47/4 - 4/y.
12
Let y(i) = i - 5. Let k be y(-8). What is the common denominator of ((-490)/12)/5 - 1 and ((-3)/15)/((-1)/k)?
30
Let m be ((-1)/3)/(2/(-12)). Suppose 35 = -m*n - 13. What is the smallest common multiple of n/(-20)*(-40)/(-12) and 11?
44
Calculate the common denominator of (19 - 488/10)*2/(-12) and 29/150.
150
Suppose n = 6*n - 5630. Let r be (-5)/20 + n/4520. Let h = 23163/2260 - r. Calculate the common denominator of -7/4 and h.
4
Let v be (276/(-324))/(16/6). Let k = -91346791/48861720 + 7/135727. Let b = k - v. Find the common denominator of b and -17/8.
40
Let f be ((-99)/12 + -2)*12/3. Find the common denominator of -2 and (-2)/24*5/(-5)*f.
12
Find the common denominator of (-31025)/(-5250) - 2/14 and -37/18.
90
Calculate the smallest common multiple of 22 and -3*(1915/(-10) + (-10)/4).
6402
Let z = -656823/56140 + -3/11228. Suppose 1 = 2*b - b. What is the common denominator of z and (b + (-228)/(-16))/(-1)?
20
Suppose -60*h + 58*h - 4 = 0. Suppose 3*t + 3*q + 2 = 4*t, 0 = -5*q. What is the smallest common multiple of 4 - (0/(6/h))/1 and t?
4
Suppose 0 = -2*v + 4*v. Suppose 3*i + i - 4*l - 4 = v, -i = l - 3. What is the lowest common multiple of i and 2?
2
Calculate the common denominator of (-76)/420*2 - 114/266 and 19/10.
210
Let n = 40 - 2185/52. Let x = 8 - 61/3. Calculate the common denominator of x and n.
156
Let o(a) = -2*a**2 + 8*a + 10. What is the least common multiple of o(4) and (1/(-3))/(1/(-33))?
110
Calculate the common denominator of -113/66 and (-836)/240 - (-8 - (4 + -6)).
660
Suppose -2*s + 59 - 23 = 0. Let z = 39 - s. What is the smallest common multiple of 6 and z?
42
Let o = -719 + 12979/18. Find the common denominator of o and ((-2)/9)/((-978)/(-4727)).
54
Suppose q - 27 = -v, -v = -1 + 2. Let n = 81 + -158. Find the common denominator of 2 + 0 + n/q and -7/3.
12
Let c be (-8)/(-790)*(63/(-12))/7. Let s = c - 5123/1580. Find the common denominator of 85/8 and s.
8
Let a = -5 - 7. Let t be -27 - (1 - (3 - 3)). Let g = a - t. Calculate the least common multiple of g and 14.
112
Let n = -17 - -12. Let p(x) = x + 8. Calculate the least common multiple of 3 - ((-1 - -3) + n) and p(0).
24
Let w = -5832 + 105011/18. Find the common denominator of 11/(-6)*(-27)/(-2) and w.
36
Let b(a) = a**2 - 19*a + 6. Let r(f) = -f**3 + 5*f**2 + 2*f - 5. Let m be r(4). Let l be b(m). What is the least common multiple of 64 and l*-1*8/(-3)?
64
Let m(k) = k**3 - 2*k**2 - 2*k + 4. Let u be (3 - -3)/2*3. Let o = u + -2. Calculate the least common multiple of m(0) and o.
28
Suppose -