1044
Let s = 12471/4 + -3100. Find the common denominator of s and (2/(-4))/(115/(-2783)).
20
Calculate the common denominator of 0/3 - 74/(-20) and ((-4)/14)/(117/(-1001)).
90
Let a be ((-33)/(-11))/((-3)/(-82)). Let j = a - 77. What is the least common multiple of j and 5?
5
Find the common denominator of 5 - (-6)/(528/(-172)) - 0 and -13/100.
1100
Let t = -175 - -297. What is the lowest common multiple of t and 14?
854
Let i(c) = c**3 + 25*c**2 + 2. What is the lowest common multiple of 14 and i(-25)?
14
Calculate the common denominator of (-2*(-8)/48)/((-10)/(-9)) and -49/68.
340
Let t = 54 + -47. What is the smallest common multiple of 951/45 + (-4)/30 and t?
21
Let k(y) = 14*y**2 - 8*y + 20. Calculate the least common multiple of k(2) and 90.
180
Suppose -o + 810 = y, 192 = -y + 2*o + 1008. What is the lowest common multiple of 28 and y?
812
Let v = -7991/28 - -1842/7. What is the common denominator of v and 133/240?
240
Suppose -r + 16 = -7. Suppose 0 = -c + 2*s - 15, 5*s = -c + 22 - 9. Let v = r + c. Calculate the least common multiple of 12 and v.
48
Suppose 5*u + 2 = 22. Let n = -15 - -15. Suppose n = -4*w + z + 2*z + 36, -2*w + 16 = -z. What is the lowest common multiple of w and u?
12
Let b(z) = 6*z + 3. What is the smallest common multiple of 24 and b(0)?
24
Let p = 125/2 + -59. Let m = 33 - 47. What is the common denominator of p and (2 + 162/(-96))/(m/(-76))?
56
Let a(m) = m + 2. Let v be a(2). Suppose -7 = -2*i + l, v*i - 5*l - 8 = -l. Calculate the least common multiple of 8 and i.
40
Let p(n) = -n - 4. Let c be p(-6). Suppose -6 = -3*k + 3*y, 3 = c*k - 3*y - 2. Calculate the common denominator of ((-65)/(-273))/(k/(-24)) and -53/2.
14
Suppose 146750 = t - 4*o - 107046, -4*o = -3*t + 761364. Let g be t/90 + 2/(-9). Let n = g + -253339/90. What is the common denominator of n and 145/18?
18
Let q = -82103 + 10180857/124. Calculate the common denominator of 43/10 and q.
620
Let d(g) = g**3 - 2*g**2 - 19*g + 34. Calculate the lowest common multiple of 108 and d(5).
756
Let f(b) = -4*b**2. Let a(d) = 5*d**2. Let y(v) = 3*a(v) + 4*f(v). Let l be y(1). What is the common denominator of 55/4 and ((-1)/10)/(l/(-62))?
20
Let l be 1 + (4 + 1 - 2). Suppose l*o = 14 + 2. Calculate the least common multiple of o and 5.
20
Let f = 148 + -145. Let p(z) = -z**3 + z**2 - z + 3. Let t be p(0). Suppose -t*i + 29 = -4. Calculate the smallest common multiple of f and i.
33
Suppose 10*v - 63 = 17. Calculate the least common multiple of v and 44.
88
Let d = 366/77 + -4/7. Let w = -1987/186 + -232/31. What is the common denominator of w and d?
66
Let r be (-2 - 1*-1)*-3. Let t(p) = -p**3 + 3*p**2 + 1. Calculate the least common multiple of t(r) and (30/2)/3 + 13/13.
6
Find the common denominator of 3/(-30)*-6*15/(-40) and 27/8.
40
Let y(d) = 2*d**3 - 2. Let b be y(2). Let w = 838 + -835. Suppose -w*a = -a - b. What is the lowest common multiple of a and 2?
14
Let z = -885 + 972. Calculate the smallest common multiple of 30 and z.
870
Suppose 3*x = -5*r + x + 149, r - 28 = -x. Let d = r + 29. What is the common denominator of d/15 - 94/28 and 85/4?
28
Let g be (3 - 1876/18) + (-1 - 0). Let f = -4498/45 - g. What is the common denominator of -35/6 and f?
30
Let v = 292 - 170. Suppose c - 18 = -n + 4*c, -5*n - c + v = 0. Calculate the smallest common multiple of 28 and n.
168
Suppose 3*y - 64 = d + 34, 4*y + 4*d = 104. Let j = y - 21. What is the least common multiple of 18 and j?
90
Let y = -3757/8 + 475. Calculate the common denominator of -3 - 2 - 2/(-7) and y.
56
Let m = -102 + 162. Suppose 4*d - 6 = 2*l, -2*d = 2*d + 2*l + 6. Suppose 44 = 2*q - d*q. What is the lowest common multiple of m and q?
660
Let a = 1036441 - 11381610/11. Let g = a + -1752. Let b = -830/33 - g. What is the common denominator of 46/11 and b?
33
Let m(p) = 3*p**2 - 29*p + 15. What is the lowest common multiple of 6 and m(12)?
198
Let w(i) = 5*i**3 + i**2. Suppose -4 = -3*l + 8, 4*l - 15 = r. What is the lowest common multiple of 8 and w(r)?
24
Suppose 5*p + 4*u + 494 = 58, -2*p + 5*u - 148 = 0. Let c be (-4)/18 - (-168)/27. Find the common denominator of 413/p*c/10 and -11/8.
40
Let t = 5 - -9. Suppose 5*c - 5*d = 90, -7*d + 64 = 4*c - 9*d. Calculate the least common multiple of c and t.
14
Let o = -1018/9 + 16345/144. Calculate the common denominator of o and -97/44.
528
Let z(o) = 2 - 3*o - 6 + 0*o + 6*o + 5*o**2. Calculate the least common multiple of z(2) and 2.
22
Let w be 350/105 - (-2)/(-6). Suppose -5*r + w = -107. What is the lowest common multiple of r and 11?
22
Suppose 15*v - 16*v - 32 = 0. Let s = -16 - v. What is the smallest common multiple of (-94)/(-8) + (-2)/(-8) and s?
48
Suppose 5*g - 35 = 2*y - y, 4*y + 4 = 3*g. What is the common denominator of 113/70 and 3/g + (-1050)/(-528)?
770
Find the common denominator of (-3640)/160 + 7 + -4 and 1 + -1 - 170/(-12).
12
Suppose -4*r = -6 - 2. Let g be (-1 - -65 - r) + -2. Calculate the common denominator of 606/(-4)*(-5)/g and 85/8.
8
Let q(a) be the first derivative of -a**2 + 14*a + 4. Calculate the least common multiple of q(-2) and 27.
54
Suppose -3*f + 18 = -9. What is the smallest common multiple of 23/((-207)/(-306)) - 10 and f?
72
Let h = -2/1817 - 19947/36340. Find the common denominator of -87/100 and h.
100
Let l = 788 - 564. Calculate the smallest common multiple of 7 and l.
224
Let y = -52319/240 + 2171/10. Calculate the common denominator of y and 151/72.
144
What is the lowest common multiple of 3 + -26 - -11 - -20 and 148?
296
Let z be (2 - 3)*6 + 0. Find the common denominator of ((-18354)/180)/19 + (-2)/z and 34/27.
270
Suppose 102*a = 97*a + 15. Suppose 0*g - 81 = -a*g. What is the least common multiple of 33 and g?
297
Let x(q) = q**3 + 7*q**2 - 14*q - 10. Calculate the lowest common multiple of x(-6) and 66.
330
Suppose -5*f + 1 = 26. Suppose -2*m - m = -2*a - 9, -12 = -4*m - 3*a. What is the common denominator of f and (m + (-58)/4)*-1?
2
Let r = 41 - 9. Suppose 2*x = r - 8. Calculate the least common multiple of 12 and x.
12
Let p = 277 + -253. Calculate the smallest common multiple of 9 and p.
72
Let j be -1 + -3 - ((-252624)/(-15786))/(-4). Let w = j + -39509/57882. Calculate the common denominator of -67/106 and w.
1166
Let j(f) be the third derivative of -7*f**5/15 - f**4/24 + 4*f**2. Let p = -4/11 + 5/11. What is the common denominator of p and j(-1)?
11
Let y(s) = 6*s**2 - 6*s + 6. Calculate the least common multiple of y(1) and 72.
72
Let c(s) = s**3 - 11*s**2 + s + 37. What is the smallest common multiple of 32 and c(11)?
96
Let u = -17 - -37. Suppose 4*y = 224 - 136. What is the smallest common multiple of y and u?
220
Let k = -925/126 - 10/63. Suppose 0 = -0*l - l + 2. Suppose -57 - 43 = -l*t. What is the common denominator of k and t?
2
Suppose 0*z - 5*z + 130 = 0. Suppose -5*u + 29 = -z. Suppose -5*j + 22 = d - 8, -j + 10 = d. What is the lowest common multiple of j and u?
55
Let b be 168/18*(-39014)/120. Let o = 41747/9 + b. Let f = -1605 + o. What is the common denominator of f and -40?
15
Let d(k) = k**2 - 5*k + 13. Let h be d(5). Suppose 35 - h = 2*v. What is the least common multiple of v and 4?
44
Suppose -20 = -3*p - 4*m, -6*p + 3*p = -2*m - 8. Find the common denominator of ((-2)/3)/(-2) + 572/165 and (p/(-12))/(1 - 0).
15
Let z(n) = -19*n**2 + 15*n - 1. Let a(v) = -9*v**2 + 7*v. Let i(u) = -7*a(u) + 3*z(u). What is the smallest common multiple of i(-1) and 17?
119
Suppose 8*c - 12 = 6*c. Calculate the common denominator of c/(-21) - (-579)/(-252) and 65/36*140/50.
36
Let l = 23 - 22. Find the common denominator of (26/(-40))/(l/6) and 52/3.
30
Calculate the smallest common multiple of 12 and 15 + -10 + 0 - (1 - 58).
372
Let g(l) = -l**3 + l**2 + 4*l. Let w = 16 - 12. Let z be g(w). What is the least common multiple of (-21)/(-4) + (-24)/z and 13?
78
Let v(z) = -z**3 - 15*z**2 - 16*z - 20. Let s be v(-14). Suppose w - s = -w. What is the lowest common multiple of w and 18?
36
Let z(m) = 5*m**2 + 6*m + 3. Let v = -723 + 735. What is the smallest common multiple of z(-3) and v?
60
Let q = -1933 + 27051/14. Find the common denominator of 27/16 and q.
112
Find the common denominator of -31/100 and (-1 - 169/(-100))/(810/(-108)).
500
Let c = -167 + 1136/7. Let t = -266519/12