common multiple of 6 and u.
42
Let v(x) = 2*x**2 - 84*x + 250. Suppose 222 = t + 3*b + 2*b, -3*b = 5*t - 1110. What is the lowest common multiple of v(39) and t?
1776
Let k = -1605/8 - -17727/88. Suppose -4*q + 3406 = -5*w, -w = -5*q - 0*w + 4268. Let m = 7733/9 - q. Calculate the common denominator of m and k.
99
Let s(c) be the first derivative of -c**3/3 + 9*c**2 - 43*c + 90. What is the smallest common multiple of s(15) and 32?
32
Calculate the common denominator of -49/440 and 21/(-360)*(-156)/364.
440
Let q = -3634 + 3635. What is the lowest common multiple of 536 and q?
536
What is the common denominator of -1 + 144504/(-11076) + 14 and 17/71?
923
Let o = -519 + 589. Let g(q) = 2*q - 6. Calculate the lowest common multiple of o and g(5).
140
Let m(p) = 113*p + 163. Let j be m(9). Suppose -5*s - 2*n - 3*n = -j, 3*n - 244 = -s. Calculate the least common multiple of s and 18.
2088
Let y = 1 + 1. Let r = 4/1681 + -126163/36982. Find the common denominator of -2 - (-155)/16 - y and r.
176
Let y = 2532 - 2466. Calculate the least common multiple of 77 and y.
462
Suppose -3*m - 4*g = -6 + 8, -3*m - g + 13 = 0. What is the smallest common multiple of -10*(-3 - 5/(-2)) and m?
30
Suppose -38*s = -1239 - 471. Suppose s*n = 2971 - 136. Calculate the lowest common multiple of n and 9.
63
Let x be 210 - 1/((-4)/16). Calculate the common denominator of -12 + 9 - -6 - x/77 and 13/63.
693
What is the smallest common multiple of 1 and ((2160/(-42))/15)/(48/49 - 1)?
168
Suppose 0 = -0*k + k - 2*w - 14, -k = w - 29. Let a be ((-72)/(-14))/(11/77). Suppose 0 = -5*m - 4*m + a. Calculate the smallest common multiple of k and m.
24
Suppose -71*d + 47*d + 2074 + 62 = 0. Suppose 5*j - 942 = -347. Let w = j - d. Calculate the least common multiple of w and 3.
30
Let m = -268895 + 129338444/481. What is the common denominator of 36/25 and m?
12025
Find the common denominator of 1341/(-2384)*(-20)/102 and 55/92.
3128
Let t = 10949/38619 + 50/613. Calculate the common denominator of t and (1246/147)/(24/14).
126
Let g(b) = b**3 - 40*b**2 + 42*b - 40. Calculate the least common multiple of 21 and g(39).
231
Suppose -2*u - 104 = -700. What is the common denominator of u/(-168) + (-7)/(-28) and (5/(-20))/(4 + (-52)/10)?
168
Let s(u) = 303*u + 3. Let f be s(1). Let k = -945561/142 + 6659. Find the common denominator of k and (f/(-56))/((-30)/(-20)).
994
Let b = 690 + -609. What is the lowest common multiple of b and 40?
3240
Suppose 2*n + 10 = 7*n. Let v(s) = s**3 - 6*s**2 + 8*s - 20. Let k be v(6). Suppose 4*x = k + 4. Calculate the lowest common multiple of x and n.
8
Let j be ((-4)/10 - 0) + 69420/(-325). Calculate the common denominator of 46/99 and 284/1278 - j/99*2.
99
Let r be ((-3)/2)/((-8)/16). Let f be (12/16)/(r/(-120)). What is the common denominator of 71/2 and f/(-8)*2/9?
6
Let m = 43 - -177. Suppose -m = 5*i - 2*z - 0*z, 0 = -5*z. Calculate the lowest common multiple of (-35)/(-11) - (2 + 80/i) and 24.
24
Let s = 15467703/406 + -114293/3. What is the common denominator of s and -73/63?
3654
Let j be (-23499)/(-6642) - 15/(-3). Let g be 399/(-779)*5/(-6). Let c = g - j. Calculate the common denominator of c and 109/50.
450
Let w = 205 - 133. Let a = -130 + w. Let x = -36 - a. Calculate the smallest common multiple of x and 12.
132
Suppose 0 = 25*v - 24*v - 2. Suppose -6*c + v*c = -36. Suppose 10*n = 6*n + 5*b + 52, 4*n - b - 36 = 0. What is the lowest common multiple of n and c?
72
Suppose -1 = 2*u + w, 2*w - 13 = u - 0*w. Let x be (-7 - -6)*(-1 - u). Find the common denominator of (x/(-20))/((-15)/(-360)) and 51/7.
35
Let d(h) = 2*h**2 + 18*h + 3. Let q be d(-14). Let j = -83 + q. Suppose 0 = -2*w - j + 204. Calculate the lowest common multiple of 4 and w.
72
Suppose -24*d - 3536 = -76*d. What is the least common multiple of d and 3136?
53312
Suppose -3*k - 11 = -4*l, -2*k - 5 - 9 = -4*l. Let t = 7 - l. Suppose -b + 5*m + 28 = 0, -m + t = 3*b - 2. Calculate the least common multiple of 33 and b.
33
Let f(z) = -z + 4. Let r(k) = k**3 + 4*k**2 - 4*k + 7. Let j be r(-5). Calculate the least common multiple of f(j) and (-30)/(27/6 + -6).
20
Calculate the least common multiple of (1888/295)/((-1)/(-15)) and 8.
96
Let b = 74 + -35. What is the common denominator of (-188)/8 + -1*4 and (b + 0)*(-5 - 33/(-6))?
2
Let y(p) = -p**3 + 6*p**2 + 6. Let k be y(6). Let i be (-62 + -1)*k/(-7). Let q = i - 45. What is the lowest common multiple of q and 8?
72
Let v = -3974 + 4630. What is the smallest common multiple of v and 246?
1968
Let r be (-2)/8 - 8810/(-40). Suppose 2*x = -3*x + r. Find the common denominator of (11/x)/((-9)/(-212)) and 13/10.
90
Suppose 0 = i - 0*i. Suppose 0 = 178*h - 177*h - 72. What is the smallest common multiple of 1*(6 + (-2 - i)) and h?
72
Suppose -6 = 2*m - 0*m. Let n be ((-4)/m)/(12/(-155664)). Let d = -242253/14 - n. Find the common denominator of -99/8 and d.
56
Suppose 2*i = -3*y + 26, 12*y - 7*y = 4*i + 14. Find the common denominator of -4 + (-1156)/(-456) + 2/y and -9/11.
418
Let g = -194 + 198. Suppose 0 = -g*r + i + 193, 3*i - 189 = -7*r + 3*r. Let w(z) = -16*z**3 + z**2 - 1. Calculate the least common multiple of w(-1) and r.
48
Let p = 12312 + -12288. Calculate the smallest common multiple of p and 776.
2328
Let s(u) = -u**3 - 9*u**2 - 5*u - 24. Let x = -114 - -122. Let q be s(x). Let v = 12655/11 + q. Calculate the common denominator of 34/7 and v.
77
Let s(q) = q**3 + 3*q**2 + 542*q - 1624. What is the smallest common multiple of 280 and s(3)?
280
Let q = 253147/588 + -5171/12. Calculate the common denominator of -101/56 and q.
1176
Suppose -47*a = -55*a + 1376. Suppose 16*b - 20 - a = 0. What is the lowest common multiple of b and 30?
60
Let u be -47 + (7/21 - 2/(-3)). Find the common denominator of 115/u*(-47)/30 and -35/51.
204
Let q = 4 - 6. Let p(x) = x**3 + 4*x**2 + 3*x + 3. Let h be p(q). Suppose 20 = 2*l - z, -4*z + 53 = h*l + 3. What is the smallest common multiple of l and 29?
290
What is the common denominator of 31/(24800/7475) + -11 and 33/1400?
5600
Suppose 1 = -w, -5419 - 478 = -4*f + 5*w. Let g = -7402/5 + f. Find the common denominator of 83/4 and g.
20
Let y = 113333/12 + -9454. What is the common denominator of 6/36 - 159/(-612) and y?
204
Calculate the common denominator of 15/92 and -11 + ((-13230)/1656 - -18).
92
Let h(y) = -3*y - 6. Let z be h(-3). Suppose 276 = z*b + 5*o, 3*o + 368 = 4*b + 2*o. Calculate the common denominator of 56/3 and (2 - b/(-49)) + 9/(-3).
147
Let f(q) = 225*q - 12. Let d be f(-8). Let p = d + 14461/8. Find the common denominator of 13/90 and p.
360
Let i = -43/4 - -349/20. Let b = 235 - 640. Calculate the common denominator of 2/(b/111 - -3) and i.
60
Let l = -10142 - -11078. Calculate the least common multiple of 108 and l.
2808
Suppose 2*m - 5*z - 9 = 11, -3*m - 5*z - 20 = 0. Let b be 503 - (m/(-4) + -1). What is the common denominator of (-2780)/b - 3/7 and -71/30?
90
Suppose u + 0 - 5 = -d, u = 2*d + 2. Let s(b) = -6*b**3 - 4*b**2 - b + 3. Let k be s(-2). Let g = k + -29. Calculate the least common multiple of g and u.
8
Let x = 5941176 + -22029880457/3708. Find the common denominator of x and 109/2884.
25956
Let d(p) = p**3 + 14*p**2 - 16*p - 3. Let m be d(-15). Suppose -60*k + 58*k + m = 0. Calculate the lowest common multiple of 315 and k.
630
Let y = -4 - 21. Let b = y + 40. Suppose 2*m + 0*m - 29 = -3*h, -h - 2*m = -b. What is the least common multiple of 3 and h?
21
Suppose -58553*w = -58573*w + 17100. Calculate the smallest common multiple of w and 475.
4275
Let m be (((-3)/1)/3)/(2/(-228)). Calculate the common denominator of 5 - m/24 - (-321)/(-444) and 55/4.
148
Let t = -2727 - -2742. Let n = -185 - -196. Calculate the smallest common multiple of n and t.
165
Let d = -911 - -933. Find the common denominator of 137/180 and (d/(-18) - -1) + (-1554)/5400.
900
Let u = 1/1715693 + -126962533/2146331943. Find the common denominator of 73/834 and u.
2502
Let m = 31727/17 + -112949871/60520. What is the common denominator of 3/1424 and m?
7120
What is the least common multiple of (3 - (-143)/(-55))*2250 and 216?
5400
Calculate the smallest common multiple of 222 and 3/(-11*24/(-35816)).
2442
Let y = -44293/2568 + 1315/107. Calculate the common denominator of y and 53/(