east common multiple of a and 8.
8
Suppose -3*d = -3*n - 3 - 3, 0 = -5*d + 4*n + 9. Calculate the smallest common multiple of 15 and d + -5 + -8 + 27.
15
Suppose -2*y = -3*c - 16, -3*y + 5*c + 29 = 3. Suppose -4*m = y*d - 140, 0 = -d + m + m + 74. What is the common denominator of 572/d - 6/9 and -47/8?
72
Let y(l) = -l**2 + 11*l - 8. Let n be y(10). Let g = -778 - -7799/10. What is the common denominator of g and n/6*39/2?
10
Calculate the common denominator of 21/(-18)*321/(-147) and -59/15.
210
Let j = -3 + 113. What is the smallest common multiple of j and 88?
440
Let f(s) = -s**2 - 3*s + 1. Suppose 0 - 8 = -2*t. Suppose 0 = -0*n + t*n - 5*x + 33, -5*n + 3*x - 25 = 0. Calculate the least common multiple of 6 and f(n).
6
Suppose j - 10 = -j. Suppose 2*s - j = 5*u, -3*s + 7 + 11 = 3*u. Let b = 6 + s. Calculate the smallest common multiple of 8 and b.
88
Calculate the common denominator of 0/4 - (-249)/(-24) and (66/(-165))/((-4)/(-155)).
8
Let j(d) = -d**2 - 5*d + 4. Let f be j(-4). Let g = -45 - -85. Suppose 0 = -4*n + g - f. Calculate the least common multiple of 4 and n.
8
Suppose 0 = -h + d + 4*d + 2996560, -h - 3*d = -2996552. Let o = h - 29994549/10. Let t = -2889 - o. Calculate the common denominator of 50/3 and t.
30
Suppose -5*b = 4*h - 74 - 10, 4*b - 3*h - 61 = 0. Find the common denominator of 987/336 + (-1)/2 and ((-1)/b)/(10/(-388)).
80
Suppose 0 = -11*m + 17*m + 600. Let h = m + 133. Calculate the lowest common multiple of h and 8.
264
Let k(r) = -2*r**2 + 6*r + 10. Let o be k(5). What is the smallest common multiple of 2 and 82/5 - (-4)/o?
16
What is the least common multiple of 96 and (-124246)/(-1036) + 1/14?
480
Let z(t) = 18*t - 1260. Calculate the smallest common multiple of 342 and z(76).
2052
Let q be (10/35)/(2/28). What is the common denominator of 1/(2*(-6)/129) - q and -53/4?
4
Suppose -13 = -3*b + 4*h - 2, 0 = -b + 3*h + 12. What is the common denominator of (-596)/(-132) - (-4)/b and -32/7?
77
Let q = 397 - 1249/3. Let i = 295869/22 - 13445. Calculate the common denominator of i and q.
66
Suppose 5*r - 3*l = 16, -3*r + l + 3*l + 14 = 0. Suppose x - 3 = -j, 6 = r*x - 4*j - 6. Calculate the smallest common multiple of 8 and x.
8
Let t = -5238/5 - -1032011/985. Calculate the common denominator of t and 151/6.
1182
Suppose 2*s - 292 - 238 = -2*b, 4*s - 5*b - 1069 = 0. Let u be 1893103/s - (-3)/(-1). Let x = u - 7110. What is the common denominator of x and -17/18?
126
Suppose -5 = 2*p - v, 3*v + 17 = -4*p - 2*v. What is the smallest common multiple of ((-1)/p)/((-1)/(-24)) and 8?
8
Let v = 1900 - 1639. Calculate the lowest common multiple of 15 and v.
1305
Suppose -t = 3*t + b + 8, 4*t - 4 = 2*b. Let r(a) be the third derivative of -a**4/24 + a**3/2 - 9*a**2. Calculate the smallest common multiple of 12 and r(t).
12
Let w = -1/6270 - -284659/6270. Let c = w + -2312/55. What is the common denominator of -23/3 and c?
33
Let p(x) = x + 8. Let o be p(-7). Find the common denominator of o/(-1) - 155/(-48) and -77/12.
48
Suppose 360 = -0*k + 4*k. Let v be 0*(-1 - 0)*-1. Suppose -10 = -2*j, 5*d - 4*j = -v*d + k. What is the lowest common multiple of 8 and d?
88
Let c be (9079*3/240)/((-3)/(-2)). Let r = c + -356/5. Calculate the common denominator of r and -44/3.
24
Suppose -25 - 95 = -10*k. Let c = k + 0. Let i = 37 - 19. What is the least common multiple of c and i?
36
Calculate the lowest common multiple of 11 and (-2 - -29) + 4 + (3 - 8).
286
Suppose -y = -2*b - 0*y - 3035, 25 = -5*y. Let n = -7554/5 - b. Find the common denominator of 12/7 and n.
35
Suppose 3*w + 2*o - 13 = 0, -4*w + 3*o + 6 = -0*o. Suppose 4*y - 17 = w*l + 40, 5*l = -2*y + 9. What is the smallest common multiple of 15/1*2/3 and y?
60
Let m = 59 + -35. Let y = 169 - 153. Let b = m - y. Calculate the smallest common multiple of b and 9.
72
Let t(k) = -4*k**3 - 21*k**2 - 13*k - 18. What is the least common multiple of t(-7) and 572?
4576
Let f = 308707/795 - 1165/3. Let t = 7649/1590 - f. What is the common denominator of t and (-2)/3 - 105/(-10)?
6
Suppose -238 = -12*r + 266. What is the least common multiple of r and 24?
168
Suppose -s = 4*d + d + 8, 3*s - 18 = -d. Suppose 2*f = 1 + s. Let g = f - -1. What is the lowest common multiple of g and 11?
55
Suppose -19*f + 27*f - 96 = 0. Calculate the least common multiple of f and 180.
180
Find the common denominator of (2/(-30))/((-22)/(-33)) and 91/60.
60
Suppose -4*l = r - 164, 0*l = 4*l + 2*r - 160. Calculate the least common multiple of l and 54.
378
Let h be (-2928)/132 + 4/22. Let n = -2/1365 - 113279/10920. Find the common denominator of (-7898)/(-2178) - (-4)/h and n.
72
Let x = -25540337/150 + 170268. What is the common denominator of -13/270 and x?
1350
Let h(l) = l**3 + 19*l**2 + 19. What is the least common multiple of 8 and h(-19)?
152
Let i be (-5275)/10 - (-1 - 2). Let a = 24051/46 + i. Let l = a - -755/276. Calculate the common denominator of l and 67/10.
60
Suppose 71 = 5*s + 56. Calculate the smallest common multiple of 20 and (s - 84/20)/((-2)/10).
60
Suppose -2*c - 2 + 10 = 0. Suppose 0*t + c*t - 8 = 0. What is the smallest common multiple of t and 26 + -26 - (-1 + -1*1)?
2
Let x = 15/149 + 5777/6258. Find the common denominator of x and -71/12.
84
Suppose -5*w + 4*y = -84, -22*y + 18*y = -w + 20. Let z(n) = 2*n + 6. Calculate the least common multiple of z(5) and w.
16
Let h be 21/(-6)*(0 - -6). Let z = 51 + h. Let f = 50 - z. What is the lowest common multiple of 2 and f?
20
Suppose -7 = 6*r - 7*r. Let p(w) = -14 + 27*w**2 + 10*w - r*w**2 - 11*w**2 - 10*w**2. Calculate the least common multiple of 18 and p(6).
90
Suppose 43 = -v - 5*p + 10, -p + 51 = -3*v. Find the common denominator of 4/v*350/(-28) and -107/12.
36
Suppose 20 = 3*b - 7*b, -2*b = y + 11. Calculate the common denominator of (65/60 - -2) + -1 and 6/(-168)*(-186)/y.
84
Let z = 865 - 529. Calculate the lowest common multiple of 30 and z.
1680
Suppose 0 = b + 2*r - r - 2399, -9578 = -4*b + 2*r. Let n = 10208 - b. Let q = n - 171785/22. Find the common denominator of -21/2 and q.
22
Let n(r) = 4*r**2 - 3*r + 1. What is the smallest common multiple of n(1) and 4?
4
Let x = 74768820 + -1794190943/24. Let r = x - 10867. What is the common denominator of 5/6 and r?
24
Suppose 0 = 4*r - 6*r + 3*x + 51, 54 = 3*r + 3*x. What is the smallest common multiple of (-1)/(-10) - (-389)/10 and r?
273
Suppose 4*d = 3*t - 9657, -4*d + 1566 = t + 11227. Let w = -19293/8 - d. Let b = 7/473 + 33499/5676. Calculate the common denominator of w and b.
24
Let n = 281 - 276. Suppose -1 = -o + 3. Suppose n*m + 31 = 2*d, -2*d - 15 = o*m - 1. Calculate the lowest common multiple of d and 15.
15
Let p = -2829/4 + 703. Find the common denominator of 1/3 - (-231)/144 and p.
16
Let z = 9783/1712 - 150/107. Suppose 6*v = 3*v + 3192. Let y = v + -10627/10. Find the common denominator of z and y.
80
Let w(l) = -l**2 - 8*l + 1. Let q = 73 - 79. What is the smallest common multiple of (400/70)/(q/(-21)) and w(-7)?
40
Suppose -4*k + 0*k = -24. Let p(d) = 3 - 3 - 5 - 6 - k*d + d**2. Calculate the lowest common multiple of 7 and p(8).
35
Let i be (-276)/10 + 18/30. Calculate the lowest common multiple of i/(-36) - (-37)/4 and 22.
110
Let b = -2 + 4. Suppose 88 = -b*c + 4*c. What is the common denominator of (-55)/c*(-162)/10 and 54/7?
28
What is the common denominator of -117/10 and (220/(-44) - 9*-5)/(-283)?
2830
Let p = 65 + -17. Suppose -3*x + 2*g = -20, -g - 3*g = 5*x - p. Calculate the smallest common multiple of 30/5 + (1 - -1) and x.
8
Suppose -a + 3*q = -6, -5*a - 46 + 20 = -q. Calculate the common denominator of 4/6 - 1*11 and (9/6)/(a/83).
12
What is the common denominator of 7 + 3 + (-1060)/72 and -1*(1 - 37/(-12))?
36
Let z(s) = s**2 + 7*s + 7. Let d be z(-7). Suppose -r + a = 4*r - 9, 2*a + 4 = -4*r. What is the least common multiple of r and 18/d*42/9?
12
Suppose 0 = 175*r - 179*r + 176. What is the lowest common multiple of r and 52?
572
Let g(l) = -l**3 - 7*l**2 - 14*l + 4. What is the smallest common multiple of 40 and g(-5)?
120
Let r = 8 + -12. Calculate the least common multiple of 30/r*20/(-25) and (20/7)/(2/7).
30
Suppose w = -3*g + 34, -50 + 170 = 4*w + 4*g. Let z = -39 + w. What is the lowest common multiple of 18 and (z/4)/(6/(-48))?
