et s be (-5901)/(-4) - (-2)/48*-6. Let t = -10359/7 + s. What is the common denominator of t and 85/16?
112
Suppose -2*q + 107 = -3*a, -4*a - 103 = -2*a + 5*q. Find the common denominator of a and 95/638.
638
Let u = 5 + 6. Suppose 22 = 5*f + 4*m, -5*f - m = -2 - u. Find the common denominator of 113/6 and (f/(-50))/((-8)/230).
60
Find the common denominator of 0 + 1/10 + 7536/(-2560) and -25/32.
32
Let z = 297 + -302. Let w = -20 + 12. Let c = z - w. Calculate the lowest common multiple of 3 and c.
3
Let z = 129 + -117. Calculate the lowest common multiple of 18 and z.
36
Let j(k) = -4*k - 6. Let f(r) = -2*r**2 - 3*r - 1. Let i be f(-2). What is the lowest common multiple of j(i) and 14*(-2 - -1 - -2)?
42
Let g = 472747/40 - 11821. Calculate the common denominator of g and 103/380.
760
Suppose -2*h + 74 - 14 = 0. Let g be (-16)/40 - (-1617)/h. Let s = -48 + g. What is the common denominator of s and 1/7?
14
Suppose 3*p - 4*q + 8*q - 21 = 0, -5*q = -4*p - 3. Calculate the lowest common multiple of 10 and p/24*4*20.
10
What is the common denominator of 89/2 and (-35)/42 - 1023/(-1350)?
450
Let l be (-6)/21 - 332/14. Let t = 53/2 + l. What is the common denominator of t and 0/(-2 + -3) + 14/(-18)?
18
Suppose 7 = -r + 3*r + 5*p, r = p. What is the least common multiple of r and (-2 - -1)*(-14)/2?
7
Suppose 3279 = -o + 5*t, -6614 = 2*o - 0*t + 4*t. Let r = o + 89104/27. Find the common denominator of r and -28/39.
351
Suppose 0 = -2*i - 3*k + 1577, 0 = -3*k + 2*k - 1. Let a = i + -6409/8. What is the common denominator of a and (-6)/4*(-123)/(-9)?
8
Let p = -420 + 423. Calculate the smallest common multiple of p and 30.
30
Let t(r) = -r**2 - 17*r - 4. Let b be t(-16). Let f be 8/b - 52/(-3). Calculate the least common multiple of 3 and ((-12)/(-9))/(12/f).
6
Let m = 15 - 13. Let q be m - 1*(3 - 3). Suppose 4*t = 7*t + 5*r - 38, -q*t - r + 30 = 0. What is the least common multiple of t and 14?
112
Let g = -23169/10 - -2319. What is the common denominator of g and 29/38?
190
Let b = -24/7 + 191/70. Let z = -11773/6 - -1968. What is the common denominator of z and b?
30
Suppose 2*n + p = 5*p + 974, 0 = -2*p + 8. Suppose 0 = 4*o - n - 625. Let v = o + -1069/4. What is the common denominator of 91/8 and v?
8
Suppose 928 - 2848 = -24*j. Calculate the smallest common multiple of 24 and j.
240
Let p(q) = q**3 + 7*q**2 - 2*q - 33. What is the lowest common multiple of 18 and p(-6)?
90
Let b(h) = -2*h**3 - 13*h**2 + 8*h + 27. What is the lowest common multiple of 36 and b(-7)?
180
Suppose 28*f = 1602 + 2010. Calculate the smallest common multiple of 3 and f.
129
Suppose -2*s + 13*f = 17*f - 144, -5*f = 0. Calculate the smallest common multiple of 63 and s.
504
Let k(u) = u - 23. Let l be k(-8). Let c = 781 - 1517/2. Calculate the common denominator of (-3*(-1)/33)/(1/l) and c.
22
Let g be (-3)/((-42)/(-4)) + (-54)/7. What is the smallest common multiple of (-14)/g + 5/20 and 24?
24
Calculate the common denominator of (-12 - -7) + 14043/2868 and -101/12.
2868
Let w(m) = m - 7. Let b(n) = -n**2 + 18*n - 14. Calculate the smallest common multiple of w(9) and b(16).
18
Suppose -38*k = -377 - 307. What is the smallest common multiple of k and 1?
18
Let n = 165 - 147. Calculate the smallest common multiple of n and 12.
36
Suppose 4*u - 2*u = 2. Calculate the lowest common multiple of (7/(-21))/((-1)/30) and u.
10
Let n = -116837/18 - -6493. Find the common denominator of n and (-5603)/(-1144)*-4 + 20.
198
Suppose 7*r - 3*r = l + 13, -r + 2*l + 12 = 0. Suppose 0 = -0*d - d, -r*b = d - 28. What is the common denominator of -37/2 and (-144)/224*b/(-24)?
8
Let d = 1489 - 8375. Let a = d - -151519/22. Find the common denominator of a and -43/10.
110
Let b(p) = 1712*p**2 - 7*p + 1. Let s be b(-9). Let f be s/(-264) - (-2)/11. Let i = f - -520. What is the common denominator of i and -38/9?
9
Let m(g) = 2*g**3 - 3*g**2 + g + 3. Calculate the lowest common multiple of 345 and m(3).
3795
Let i be ((-425)/(-57426))/((-2)/(-4412)). Let t = 4/563 + i. Calculate the common denominator of t and -13/7.
21
Calculate the common denominator of 2/15*3 + (-181749)/318660 and 73/9.
4068
Suppose -3*k + 69 = -z, 57 = -3*k + 6*k + 3*z. Calculate the smallest common multiple of k and 33.
66
Suppose 0 = -3*x - x + 48. Suppose -4*s = d - 11, 3*s + 0*d = -2*d + x. What is the smallest common multiple of (-168)/(-20) - (-9)/(225/(-10)) and s?
8
Let h(z) = z + z**3 + 0*z - 8*z + 1. Let t be h(-3). Let x = t + 9. Calculate the least common multiple of x and 3.
12
Let t = -138 - -148. Calculate the smallest common multiple of 4 and t.
20
Let o = 12 - 4. Suppose 10 = -45*f + 50*f. Calculate the smallest common multiple of f and o.
8
Let h = 46/505953 - -677360207/1219346730. Let c = h + 8/723. Calculate the common denominator of c and 131/18.
90
Let y = -782381/30 + 26083. Find the common denominator of y and -111/20.
60
Let o = 3880/9 + -434. What is the common denominator of 2/123 and o?
369
Let x(i) = -i**2 + 6*i + 7. Let v(b) = 3*b**3 - 20*b**2 + 17*b - 16. What is the least common multiple of x(6) and v(6)?
14
Let n = -48167 - -5828164/121. Find the common denominator of -17/99 and n.
1089
Suppose 0 = -5*z + 5*b - 5, z - 4*b + 22 = 3*z. Let d = 238 + -235. What is the least common multiple of z and d?
3
What is the smallest common multiple of (-118)/59 + (-2 - -1)*-14 and 66?
132
Let r(v) = v**3 + 5*v**2 - 3*v + 12. Let o be r(-6). Find the common denominator of (-114)/(-30) + 1*(-3)/o and 53/14.
70
Let q(y) be the second derivative of y**4/12 + 2*y**3/3 + 2*y**2 - 2*y. Let x = -12 + 30. Calculate the smallest common multiple of x and q(-6).
144
Let f be (54/7)/(-5*12/(-280)). Calculate the common denominator of ((-42)/(-8))/7 - 759/f and -17/27.
27
Let u be 1*(1713/6 - 0). Let v = 304 - u. Let p = 3307 - 13301/4. Find the common denominator of v and p.
4
Let j(k) = 3*k - 13*k - 11 + 8*k. What is the common denominator of j(-5) and 27/11?
11
Calculate the common denominator of (-4)/(-770)*(-55500)/400 and -57/88.
616
Suppose c - 2*z = 26, 2*z = -5*c + z + 130. Suppose c = 7*q + 5. What is the least common multiple of q and 3?
3
Find the common denominator of 122/10 - (1 + 0) and 10/((-1400)/1407) - (5 - (-462)/(-90)).
60
Let z = -373/42 + 186/35. What is the common denominator of (1 + 14/(-20))/(264/4312) and z?
30
Let b(v) = 16*v - 1. Suppose 18*f + 0*f - 162 = 0. Calculate the least common multiple of f and b(1).
45
Suppose x + 16 = 2*k, 3*k - 19 = 3*x + 17. What is the common denominator of x/12 + (-88)/6 and 67/12?
12
Let q(z) = 2*z**3 + 20*z**2 - 21*z + 13. What is the lowest common multiple of q(-9) and 18?
3276
Suppose 3*f + 2*n = 70, -5*n + 32 + 0 = f. Suppose 0*v = -2*v + f. Calculate the smallest common multiple of 4 and v.
44
Calculate the common denominator of 85/192 and (107/8)/((-364)/(-52)).
1344
Let b be 140/105 + (1 - (-1)/(-3)). What is the least common multiple of 6 + (b - -1) + -5 and 1?
4
Let y = 8691 + -13003. Let b = 94795/22 + y. What is the common denominator of -71/6 and b?
66
Let a be (-33)/(-21) + (-6)/(-14). Suppose -5*i + p - 6 + 25 = 0, a*i + 3*p = -6. What is the least common multiple of i and 15?
15
Let h = -1 + 4. Suppose w + 3*f = 12, 3*f + 4 = h*w - 8. Calculate the smallest common multiple of w and (-172)/(-14) - 18/63.
12
Let m = -1/764 + -15469/1528. Let h = 7285/4 - 1810. Find the common denominator of m and h.
8
Suppose 7*c - 2*c = 25. Suppose -4*r = c + 119. Let h = -25 - r. Calculate the smallest common multiple of 2 and h.
6
Let k = -403518365/22 - -18345444. Let f = k - 3697. Calculate the common denominator of -63/16 and f.
176
Let j = -126 + 293. What is the least common multiple of 3 and j?
501
Suppose -5*l = 24*q - 25*q - 555, -2*l + 199 = -5*q. What is the least common multiple of 140 and l?
560
Let m = 688 - 671. What is the common denominator of 91/46 and m?
46
Suppose -21*j + 220 = 2*y - 17*j, 3*y - 5*j - 385 = 0. Calculate the smallest common multiple of 160 and y.
480
What is the common denominator of (-693)/18 - 5 - (0 + 1) and ((-18)/(-20) + -1)*101?
10
Suppose 0 = b - 3*s + 1, -4*b - 3 = -b - 2*s. Let h = 364232/52875 + 2/5875. Calculate the common denominator of 0/b + 649/55 and h.
45
Let a = 1/9494 + -436751/256338. Let b = 29