32. Calculate the smallest common multiple of 2079 and f(-31).
20790
Suppose 175*y = 167*y + 160. Suppose -4*c = -4*x + 8, 5*c + 4 = 4*x - 8. Calculate the lowest common multiple of y and ((-24)/60)/(x/100).
20
Find the common denominator of -103/60 and ((-20)/(-14))/(1782/(-154)).
1620
Let b be (-16 - (-2)/1) + (-1)/1. Let r be 6/b - 904/(-10). Calculate the common denominator of -41/60 and ((-464)/r + (-4)/10)/1.
180
Let b be ((-7)/(-70))/((-12)/158211). Let r = 1320 + b. What is the common denominator of 53/20 and r?
40
Let o(u) = 25*u. Let k be o(1). Let c be -5 - 0 - (-275)/k. Suppose c*s - 141 = 3*s. Calculate the common denominator of -63/10 and s.
10
Find the common denominator of -19/33 and -73*(-2)/(-18)*-1.
99
Suppose 16 = -0*n + 2*n - v, -3*n = 2*v - 24. Let u be 2/19 + 3680/(-304). Calculate the lowest common multiple of n and (-1 - (-8 - u))*(-48)/10.
24
Let u(w) = -w**2 + 26*w - 34. Let c be u(21). Let v = c - 39. What is the least common multiple of v and 72?
288
Let m = 1582 + -63367/40. What is the common denominator of m and 7/3064?
15320
Suppose 0 = 14*p + 137 - 53. Calculate the lowest common multiple of (-4 - p)*1 - (-53 + 1) and 54.
54
Let x = 31 - 26. Suppose 3*o = j + 11213, j + 18685 = x*o - 0*o. Let r = 22363/6 - o. Find the common denominator of r and -71/3.
6
Suppose -n + 131*v + 1218 = 132*v, 2*v = 3*n - 3664. What is the least common multiple of 50 and n?
6100
Find the common denominator of (-108)/(-540) - (37332/(-63020))/(-3) and 64/3.
9453
Suppose 3*h + 38 = 26. Let c be (-18 - -15)*h/(-6). Calculate the smallest common multiple of 5 and 741/26 - 1/c.
145
Let n be (-1 + 2)*2/1. Find the common denominator of (93/(-12))/(n + -1) and (3 + -49 + 7)*(-34)/264 + -3.
44
Let v = -57 + 120. Calculate the common denominator of (2 - (-8)/(-6))/(v/(-207)) and -64/33.
231
Let s = -367 - -3667/10. Let r(t) = 443*t**3 - 3*t**2 + 2*t + 2. Let i be r(2). Let v = 31810/9 - i. What is the common denominator of s and v?
90
Let g(d) = 15*d**2 + 76*d - 245. Calculate the least common multiple of 3 and g(3).
354
Suppose k + 4*i = 7, 3*k - 4*k + 10 = i. What is the least common multiple of k and (-147)/(-5) - ((-816)/(-85))/(-16)?
330
Find the common denominator of 39/476 and (23 - 29)/((-1326)/(-8)).
6188
Let x be 9 - ((-1 + 1)/(-2))/2. Suppose -b + 90 = x*b. What is the lowest common multiple of b and 58?
522
Let r(i) be the third derivative of -i**5/60 + 11*i**4/8 - 35*i**3 - 43*i**2 - 3*i. What is the lowest common multiple of 8 and r(11)?
32
Let i = 451 - 209. Let g = -14 - -32. What is the least common multiple of i and g?
2178
Let s be (-1 - 1) + 4624/44. Let g be (-8)/(13464/(-164889)) - -3. Let y = g - s. What is the common denominator of y and 18?
17
Let t(l) = -l**2 - 18*l + 30. Calculate the smallest common multiple of -1*(-5 + 97)/(-4) and t(-19).
253
Let w(s) = -3*s + 114 - 13 - 26 + 93 + 27*s. Suppose 4*b - 18 = -3*y, 2*b - 17 = -3*b - y. Calculate the smallest common multiple of b and w(-6).
24
Suppose 25 = -3*y + 40. Let u be (-10)/y - -4 - 2. What is the common denominator of (150/4)/(-3) - u/19 and 15/28?
28
Let j = 22 + 20. What is the common denominator of ((-18)/48 - -1)/(j/(-248)) and 49/12?
84
Let f = -53 - -56. Suppose -2*v + 2*n - 4 + 2 = 0, -f*v = -4*n + 7. Calculate the smallest common multiple of v and 15.
15
Let p be ((-3)/5 - (-12)/(-5)) + 17. Calculate the common denominator of -13/20 and (876/16)/(-118 - p).
880
Suppose 7*y - 464 = 6606. Suppose 6*o = y - 302. What is the smallest common multiple of 22 and o?
1298
Let s = -25615 - -25624. Suppose 2*r - 27 = -5*u + 22, -2*u = 3*r - 46. Let k = r + -3. Calculate the smallest common multiple of s and k.
9
Suppose 52 = 4*s + 4*w, 2*w - 50 = -4*s - w. Let d = -5 + s. What is the lowest common multiple of 1 and -2 - d*(-3)/2?
7
Suppose -3*o = 3*l - 18, 0 = -l + 6*o - 4*o - 9. Calculate the common denominator of l/2 - 182/(-32) and ((-5560)/(-1600) + 0)/((-12)/20).
48
Suppose 3*o = -4*c + 6*o + 153, 0 = -c + 2*o + 42. Suppose 3*j + 4 + 5 = 0. Calculate the smallest common multiple of 18 and 480/c*j/(-2).
180
Let t be (4 - -2)/2 + 5 + -3. Suppose 4*u - t*g = 7, 5*g - 32 + 7 = 0. Calculate the lowest common multiple of 1 and u.
8
Let o = 753 + -9049/12. Let n = -7640647/10 - -764069. Find the common denominator of n and o.
60
Let k = -124012/5 + 2604617/105. Let j(v) = 8*v**2 + 2*v - 3. Let i be j(4). What is the common denominator of k and i/18 + 2/(-9)?
42
Let n = -252 + 334. Let z = 84 - 72. Calculate the lowest common multiple of n and z.
492
Let c = 3089/1837 + 1/3674. Find the common denominator of 43/136 and c.
1496
Let c = 8100749/624 + -12982. Calculate the common denominator of -11/8 and c.
624
Let v(u) = -u**2 + 5. Suppose 2*d - 62 = -x, -3*d = 17 - 5. Let i = x + -44. Calculate the smallest common multiple of v(-2) and i.
26
Let a = -11 + 11. Suppose d + a*z - 201 = 3*z, -3 = -z. Calculate the common denominator of (-1341)/d + (-64)/(-28) + -2 and -105/22.
110
Let s(x) = x**3 + 55*x**2 - 53*x + 198. Let t(k) = k**3 + 5*k**2 - 7*k. Calculate the least common multiple of t(-6) and s(-56).
30
Let z = 274 - 194. Let k = -109128 + 109218. What is the smallest common multiple of z and k?
720
Let r = 24701 - 24415. What is the least common multiple of 2 and r?
286
Let g be (-2)/(-4) - (-2453)/(-63). Let c = -357/164 - -40629/1148. Let k = g + c. Find the common denominator of k and -73/38.
342
Let a be 21/15 + -2 + (-2828)/945. Let w = -871/270 - a. Let b = -271 - -5723/21. What is the common denominator of b and w?
210
Calculate the smallest common multiple of (-16)/(-88) + 856/11 and ((1 + -7)*(-2)/(-3))/((-13)/26).
312
What is the common denominator of 4/(80/18)*980/56 and -33/916?
916
Let u be ((3 - 12)/1)/(2/10). Find the common denominator of 0 + 0 - 143/(-24) and (2 - -157)*(-5)/u.
24
Let g = 339407/110 - 15427/5. Let n = 36231/16 - 9081/4. Calculate the common denominator of n and g.
880
Let y = -15349 - -506575/33. Let h = 150989/12 + -12590. Find the common denominator of h and y.
132
Let f = -450 + 2398. Suppose -3*p - f = -2*x, -2922 = -10*x + 7*x + 5*p. What is the least common multiple of 6 and x?
2922
Suppose 282*o + 2117 = -4*o + 36437. Calculate the smallest common multiple of 1200 and o.
1200
Let v be 10 + -7 + (-1329130)/78. Let n = v + 17039. Find the common denominator of n and -77/90.
1170
Let a be 1/(-5) + 189/45. Suppose 80 = q + a*q. Let b(l) = 2*l. What is the lowest common multiple of b(q) and 22?
352
Let y be -2*(-2)/4 + (-1064343)/(-98). Let q = -10857 + y. Calculate the common denominator of (-345)/18*1/3 and q.
126
Let t = -841/865 + 3058451/3093240. Calculate the common denominator of t and 79/44.
39336
Suppose 0 = -v + 5*g + 40, 5*v = 4*g - 44 + 160. Calculate the common denominator of -59/4 and v/12*(-5)/(-16).
48
Let f(b) = -13*b**2 - 7*b + 157. Let z(q) = -7*q**2 - 4*q + 79. Let l(y) = 6*f(y) - 11*z(y). Calculate the lowest common multiple of l(8) and 55.
275
Let j = 357 + -332. Calculate the smallest common multiple of j and 10.
50
Let p(k) = -k**3 - 12*k**2 + 47*k - 10. Let m be p(-14). Find the common denominator of 79/22 and (21/14*-93)/(m/(-4)).
506
Let k be 448/6 + 5/15. Suppose 9*i + d - k = 4*i, 0 = 5*i + 2*d - 70. What is the smallest common multiple of (-2 - 0 - -4) + 6 and i?
16
Suppose -2*k + k + 7926 = 3*u, 4*u = -3*k + 10578. Calculate the smallest common multiple of u and 480.
5280
Let a = -14799 + 887771/60. Let z = -1516477/40 + 37910. What is the common denominator of z and a?
120
Let d = 9111 + 10824. Let n = 717611/36 - d. What is the common denominator of -77/60 and n?
180
Suppose -9 = 3*k - 6*k. Suppose 0 = -3*m + k, 3*w = -2*m + 7*m + 4. What is the common denominator of (-917)/(-147) - (w - 0) and -25/33?
231
Let f = -18119 - -18583. Calculate the lowest common multiple of f and 4350.
34800
Find the common denominator of ((-1188)/(-2160))/((-9)/195) and -40/717.
2868
Let q(t) = t**2 - 59*t + 530. What is the lowest common multiple of q(49) and 255?
2040
Let z(x) = x**3 + x**2 - 4*x - 6. Let h be -1*(-52 + 3/(-1)). Suppose 4*a + h - 67 = 0. What is the smallest common multiple of 82 and z(a)?
738
Let j be (-22)/66*24 - (1 + -5). Let p(s) = -s - 8*s - 3*s**2 + s**2 + 2. What is the smallest c