/31. Find the common denominator of (-1)/3*3/(-10) and r.
110
Let p = 8 - 6. What is the lowest common multiple of 9 and 2*3/p*3?
9
Let k = -24 + 46. Suppose 0 = -2*a - 0*a + k. Let s(b) = -3*b - 2. Calculate the lowest common multiple of s(-2) and a.
44
Let k(s) = -s**3 - 10*s**2 + 10*s. Let m be k(-11). Find the common denominator of (-14)/(-8)*2/m and -83/16.
176
Let q = 6601793727/3598076545 + -8/10634709. Let l = 20/203 + q. Calculate the common denominator of -41 and l.
15
Let t = -13 + 23. What is the least common multiple of t and 20?
20
Let g be (-61)/(-70) - (-5)/25. Let b = 4/7 - g. Calculate the common denominator of b and -15/8.
8
Let b(i) = i**3 + 6*i**2 - 3*i - 4. Let l be b(-3). Find the common denominator of 19*(-2)/l*10 and -117/10.
40
Suppose -5 - 11 = 4*g. What is the common denominator of 37/7 and g/2 + 4/6?
21
Let k be ((-66)/(-15))/((-2)/(-10)). Suppose b + 4*s = 18, 2*b - 5*s = 71 - k. Calculate the least common multiple of 8 and b.
88
Let m = -3192 + 19043/6. What is the common denominator of m and 59/6?
6
Let k be -3 + (-12998)/(-22) + 0. Let h = 585 - k. Find the common denominator of -32/7 and h.
77
Suppose -m - 5*a = 3*m + 9, -3*m + 4*a = -32. Suppose -3*v + 20 = 2*s, 2*s - 3*s = -2*v + m. What is the smallest common multiple of 12 and v?
12
Let k = 10 - 6. Suppose -4*o - 10 = 2*b, k*o - 10 = -4*b - 50. Calculate the lowest common multiple of (-4)/(-3)*b/(-10) and 8.
8
Let s(i) = 4*i**2 - 4*i + 3. Let u = 2 + 0. Let j be s(u). Suppose -19 - j = -5*n. Calculate the smallest common multiple of 2 and n.
6
Suppose 6*n - 3*n = 3. Suppose 0 = d - n - 0. What is the smallest common multiple of d and 9?
9
Suppose -284 = -4*a + 208. Let q = -207/8 - -5/8. Find the common denominator of q and 1 + a/(-8) + 2.
8
Let z = 7691 + -92215/12. What is the common denominator of z and (3 - 351/(-24))/3?
24
Let c = 3530270/613 - 5759. Let y = 3011/11034 + c. Find the common denominator of y and -95/4.
36
Let q = 2 - -8. Let v(g) = 2*g**2 + 5*g - 6. Let m be v(-6). Suppose -z + 12 = f, 4*z + f - m = -0*f. What is the lowest common multiple of q and z?
40
Let x = 145/2 + -1491/20. Calculate the common denominator of x and 11/4.
20
Suppose -8*q + 33 = 3*q. What is the smallest common multiple of 12 and q?
12
Let g = -54 - -68. What is the smallest common multiple of 4 and g?
28
Let a be (-15)/(-6) + 2/(-4). Suppose 3*z - 15 = -a*z. Suppose 5*w + 4*m = 19, w = 4*w - 5*m - 4. What is the least common multiple of w and z?
3
Let w(l) = 5*l - 7. Let r(n) = -n + 1. Let o(p) = 6*r(p) + w(p). Let f be o(-3). Suppose -j + 36 = f*j. Calculate the lowest common multiple of 8 and j.
24
Let y = -14 + -1. Calculate the common denominator of -87/8 and y/(-20)*(-77)/(-15).
40
Find the common denominator of 71/45 and (-14)/42*129/(-5).
45
Let j = 4783532141/2 - 37447881274492/15657. Let q = j + 2/5219. Find the common denominator of q and -107/10.
30
Let d = 3443/6 - 586. Let k(q) = q**3 - 5*q**2 + 6*q. Let w be k(5). Calculate the common denominator of 5/(-2)*w/27 and d.
18
Let w be (-3)/(-339)*(1 + -2). Let g = w + 3299/2486. Find the common denominator of g and 7/2.
22
Calculate the common denominator of 30/4*(-1)/(-26) and 43/6.
156
Suppose -2*x - 3*z + 71 = -6, 3*x + z - 133 = 0. What is the smallest common multiple of 18 and x?
414
Let x = -4493/290 - -110/29. Find the common denominator of 2*(-7)/16*-3 and x.
40
Let p(w) = w**2 - 4*w + 10. Calculate the least common multiple of p(4) and 16.
80
Suppose -5*o + 3*o = -550. Suppose o - 15 = 4*b. Suppose -b = -4*q - 9. Calculate the least common multiple of 6 and q.
42
What is the lowest common multiple of 1 and (-369)/(-36) - (-1)/(-4)?
10
Let d = -5 - -19. Let c = 24 - d. Calculate the least common multiple of 10 and c.
10
Let l(b) = b**2 + 5*b + 6. Let c be (0 - (-6)/7)*-7. What is the least common multiple of 8 and l(c)?
24
Calculate the lowest common multiple of -7 + 13 - (1 - 3) and 16.
16
Suppose -2*p - p = 15, 0 = 5*w + 3*p - 35. Let v = -17 + 27. What is the lowest common multiple of 164/w - 4/v and 14?
112
Let j = -43 + 15. Let c = -16 - j. What is the least common multiple of c and 12?
12
Let g = 25 - 9. What is the lowest common multiple of 8 and g?
16
Suppose -c + 12 = c. Suppose c*p = 3*d + p + 119, d + 41 = p. What is the common denominator of d and 3/10?
10
Suppose -j - 252 = -4*j. Suppose 3*n + 27 = -j. Find the common denominator of -17/9 and n.
9
Let g(d) = -2*d - 2. Calculate the least common multiple of 2 and g(-4).
6
Let m(v) = -v + 3. Suppose j - 4*x + 5 = -0*j, 3*j + 4*x - 17 = 0. Suppose y - 5 = -j. What is the smallest common multiple of y and m(2)?
2
Suppose 0 = -10*d + 3*d + 266. Calculate the least common multiple of 20 and d.
380
Let h = -6427 - -64377/10. Calculate the common denominator of h and 41/24.
120
Let h(c) = c + 11. Let v be h(-11). Let g(r) = -r**2 + v*r**2 - r**3 - r**3. What is the smallest common multiple of 7 and g(-1)?
7
Let v = 1555527499 + -123217931335077047/79212956. Let j = v + -217954442575/154702903068. Let o = j - 68/217. What is the common denominator of 1/18 and o?
18
Let w = -6314/32435999 + -3579347941489739/3632831888. Let p = w - -985239. Let a = 13/112 + p. Calculate the common denominator of a and 49/5.
10
Suppose -2*v + 10 = f, 4*v - 2*f = 3*v - 5. Let i(a) = 2*a**2 - 3*a + 2. What is the smallest common multiple of i(3) and v?
33
What is the common denominator of 97/74 and 2 + (-7)/3 - (-916)/120?
370
Let a be 24/9*(-102)/(-4). Suppose -a = 2*r + 2*r. Let b = r - -27. What is the smallest common multiple of 4 and b?
20
Suppose -38 = -i - 13. Calculate the smallest common multiple of 18 and 138/5 + 10/i.
252
Let f = 1886603/5 + -378883. Let n be (-42)/((-219)/(-225) - 1). Let j = f + n. What is the common denominator of j and 35/6?
30
Suppose i = w, i - 5*w + 3 = -3*w. Suppose -9 = -i*f - 3*s - 0*s, -3 = f + 4*s. Let g = 6 - 4. Calculate the least common multiple of f and g.
10
Let u = 2/187 - 5059/935. Let j = u + 217/30. Calculate the common denominator of (-4)/(-6) + 226/24 and j.
12
Let m be (3/(-9))/((-1)/447). Calculate the common denominator of 2 + (m/(-10) - -2) and -119/6.
30
Let m = 30 - 42. Let p = 6 - m. Calculate the least common multiple of p and 16.
144
Let f = 23 - 19. Suppose -4*v - 13 = -5*p, -f*v + 17 = p - 0*p. Calculate the lowest common multiple of 1 and v.
3
Let c = 4617 + -46071/10. What is the common denominator of c and -7/4?
20
Let n = -1 + 3. Let w = -10 + 20. Calculate the least common multiple of w and n.
10
Suppose w - 981 = 2280. Let k = w + -65241/20. Calculate the common denominator of k and -57/20.
20
Calculate the common denominator of 11/42 and (-1602)/108 + 1 + -1.
42
Let w be (16 + -2)*(-1)/1056. Let d be 188248/21120 - 2/(-4). Let j = d + w. Calculate the common denominator of j and 101/10.
10
Let t be ((-1)/6)/((-4)/999). Let j(c) = -6*c**2 - 4*c + 1. Let x be j(-3). Let k = t + x. Calculate the common denominator of -121/6 and k.
24
Let h be 2/4*(-1 + 1). Suppose k - 8 = -h*k. Calculate the lowest common multiple of k and 18.
72
Suppose 5*v = -0*v + 50. Let c(m) = -m**2 - 6*m + 5. Let d be c(-6). Let u = d - 4. What is the least common multiple of u and v?
10
Suppose 0 = 4*f + 5*l - 255, 0*f - 270 = -4*f - 2*l. Suppose -5*u = -4*v - 2*u + 73, -4*v = -2*u - f. Calculate the common denominator of -45/4 and -7*26/v - 0.
8
Let d = -4645 + 41864/9. Calculate the common denominator of 56/11 and d.
99
Let b be (-4)/((4/10)/1). Find the common denominator of (2/b)/(4/(-295)) and -79/4.
4
Suppose 0 = 3*g - 2*k - 470, k = -k - 8. What is the smallest common multiple of g and 22?
154
Let c(l) = -l**3 - 2*l**2 - 2. Let q be c(-2). What is the common denominator of -31/7 and ((-26)/3 - -3)*q?
21
Let i = 1803 + -4466. Let g = i - -18688/7. What is the common denominator of g and 5/3?
21
Let w = 19791/8 - 2465. Let l = 21501/8 - 2697. What is the common denominator of l and w?
8
Let o = -38 - -60. Let v = 4 - 2. Suppose 0*i = -v*i + 12. What is the smallest common multiple of i and o?
66
Let j(o) = o**2 + 2*o - 3. Let k be (6 + -9)*(-2)/3. Let a be j(k). Suppose -20 - 10 = -a*b. Calculate the least common multiple of 10 and b.
30
Let b = -4401 - 2788. Let c = b - -71951/10. Calculate the common denominator of