0. Find the common denominator of r/(-24)*4/10 and q.
10
Let h be (-2)/13 - (-6)/39. Suppose 2*u + 5*m - 63 = -2*u, h = u - 5*m - 47. Calculate the smallest common multiple of u and 16.
176
Let y = -5845/3 - -1937. What is the common denominator of 149/186 and y?
186
Let c = -142 - -260. Calculate the lowest common multiple of ((-8)/24)/((-1)/6) and c.
118
Find the common denominator of ((-72)/(-96))/((-30)/82) and (-174)/4 - -1 - 2.
20
Suppose 0 = -4*o - 12, 2*o - 5*o = -3*x + 33. Suppose -4*r + 8 = -x*r. Let d = 20 - r. What is the least common multiple of 12 and d?
132
Let w(m) = m + 40. Let g(o) = o**3 + 2*o**2 + o + 2. Suppose -4*p = 16 - 8. Let y be g(p). Calculate the least common multiple of w(y) and 6.
120
Let y(n) = -5*n + 3. What is the lowest common multiple of y(-5) and 4*1 - (3 + -10 + 3)?
56
Let p = 9817/6204 - -1/1034. What is the common denominator of p and 29/42?
84
Let w be 8*3/6*(-1)/4. Find the common denominator of 125/12 and 662/160 - w/(-5).
48
Let n = 190877/2 + -98482. Let c = 191759/63 + n. Let y = 2195/252 - c. What is the common denominator of -29/4 and y?
12
Let l = 197 + -161. What is the smallest common multiple of 48 and l?
144
Let h(w) = w**3 - 8*w**2 + 6*w + 3. Let q be h(7). Calculate the common denominator of 1/(q*(-21)/(-318)) and 4 + (-70)/15 + (-53)/33.
154
Suppose 18*a - 16*a = 16. Let t be -3*(-1)/6*8. Calculate the least common multiple of t*2 + 4 + -6 and a.
24
Calculate the smallest common multiple of 3 - (-4692)/156 - (-1)/(-13) and 27.
297
Calculate the common denominator of (-195)/(-742) + 5 + 306/(-63) and -77/159.
318
Let y = -3900 + 1050. Let i = -31/15 + -1033/30. Find the common denominator of y/(-12)*(-2)/(-10) and i.
2
Let b(o) = -o**3 - 23*o**2 - 21*o + 71. Calculate the smallest common multiple of 42 and b(-22).
294
What is the lowest common multiple of 30 and (-142)/(-8) - 41/(-164)?
90
Let f = -108557/546 - -1394/7. What is the common denominator of f and 143/36?
468
Let k(u) = 7*u**2 + 3*u + 3. Let p(q) = q**2 - 5*q + 11. What is the least common multiple of k(-1) and p(5)?
77
Let j(q) = -4 - q**3 + 2*q + 3*q**2 - 2*q**2 + 3*q**2 + q. Let z be j(5). Let d(y) = -2*y - 8. Calculate the smallest common multiple of 16 and d(z).
80
Suppose -3*a = -l - 4 + 2, 19 = 3*l - 4*a. Suppose 0 = l*y - 9*y - 24. Calculate the least common multiple of y and 30.
30
Let d(q) = -q**2 - q - 9. Let l = -9 - -9. Suppose l*g - 4*g = 0, i + 3*g = 0. Find the common denominator of 38/11 and d(i).
11
Let g(p) = -p**3 - 8*p**2 + 8*p - 24. Calculate the smallest common multiple of 9 and g(-10).
288
Calculate the smallest common multiple of 12 and (-18)/(-6 + (-315)/(-56)).
48
Suppose -26*v - 27 = -35*v. What is the least common multiple of 6 and v?
6
Let j = -2896/5 - -121477/210. What is the common denominator of 21/22 and j?
462
Let h = -52/33 + -1/11. Suppose 0*c = -c - 88. Find the common denominator of h and 26/(-143) + (-93)/c.
24
Suppose 4*a = 3*o - 458, -o - 2*a - 3*a + 121 = 0. Calculate the smallest common multiple of 12 and o.
876
Suppose -170 = -3*h + 235. What is the common denominator of 37/49 and 4/6 + 234/h + -2?
245
Suppose r - 20 = -4*v, 4*v - 6*r = -2*r. What is the common denominator of -39/14 and (v/(-24))/((-6)/(-34))?
126
Calculate the smallest common multiple of 57 and 6/21 + 492/42.
228
Let y be (1*(0 - 0))/(-2). Suppose 3 = -11*w + 3. Suppose 2*g + w*g = r + 33, -2*g + 2*r + 38 = y. What is the least common multiple of g and 4?
28
Suppose -w = 4 - 24. Suppose 3*f - w = -2*f. Suppose 0 = -5*a + 2*c - 16 + 91, c - 47 = -f*a. What is the common denominator of a and 69/2?
2
Suppose 3*d - 5703 = -5*u, 7*d - 2*d = -20. Let a = -3397/3 + u. Find the common denominator of a and -24/11.
33
Let o be 8 - (-4)/10*-5. Let a be o + -3 - -26 - 3. Calculate the least common multiple of a/4 + (-6)/(-4) and 22.
88
Let p = -622753/26 - -23948. Find the common denominator of p and -111/40.
520
Suppose 0*q = 7*q - 168. Calculate the lowest common multiple of 8 and q.
24
Let u be -1*0/((-10)/(-5)). Suppose 0 = -2*a - u*a + 16. What is the smallest common multiple of 7 and a?
56
Let c = 459984 - 11501199/25. Let f = c - -59039/900. Find the common denominator of f and -5/16.
144
Suppose -2*f - 17 = -3*q - 47, 3*f = q + 59. Let w = -32 + f. What is the common denominator of w and 14/11?
11
Suppose 4*h = 3*h + 14. Let x = h + 4. Suppose 0 = -2*r + 3*a + x, -5*a + 2*a = -6. Calculate the least common multiple of r and 6.
12
Let u = -35674 - -248776/7. Let w be (6/14 + 0)*3299/12. Let x = w + u. Find the common denominator of -79/2 and x.
4
Suppose 0 = v + 2, 0 = k - 3*v - 0 + 2. What is the common denominator of (-10)/40*(-34)/k and (-25)/6 + 8/24?
48
Let b = 49 - 5. What is the least common multiple of b and 6?
132
Suppose -s + 23496 = -7*s. Let g = 39063/10 + s. Calculate the common denominator of -149/6 and g.
30
Let z = 191 - 8403/44. Let p = 3241 + -25845/8. Find the common denominator of z and p.
88
Let q = -33 + 61. Let g = q + -16. Calculate the least common multiple of g and 2.
12
Let u = 0 + -9. Find the common denominator of 53/15 and (108/(-80))/(-9)*(-2)/u.
30
Let g(j) = -41*j**2 + 18*j - 11. Let y be g(-13). Let i = y - -43193/6. Calculate the common denominator of i and -77/48.
48
Find the common denominator of -29/28 and -199*(-2)/(-2058) + 5/15.
1372
Suppose 104 + 6646 = 9*j. Calculate the smallest common multiple of j and 5.
750
What is the common denominator of -115/246 and 2/16 - (-781)/132?
984
Let v = -267/790 - -3/79. Let h be (-993)/6 - (-2)/(-4). Find the common denominator of v and (21/56)/(6/h).
40
Let k(n) = -n**3 + 44*n**2 - 44*n + 56. What is the smallest common multiple of k(43) and 21?
273
Let r = 169 - 157. Suppose 972 = 12*b - 144. Calculate the smallest common multiple of b and r.
372
Let k(y) = y - 3. Let d be k(5). Let s be -2 + (3 - 6/d). Calculate the lowest common multiple of (s/(-4) + 0)*2 and 9.
9
Let j = -54 + 84. Suppose -4*v + 18 = h + 4*h, -3*v + 12 = 3*h. What is the common denominator of h/j*645/6 and 19/24?
24
Suppose -r + 2055 = 6273. Let p be r/(-42) - (-3)/(-7). What is the common denominator of 65/4 and (p/(-35))/2 + 2?
28
Let n(a) = -a**2 - 4*a + 4. Let u be n(-4). Suppose -u*w - 2 - 3 = 3*c, w - 5*c = -30. Let l(z) = 3*z + 17. What is the smallest common multiple of 8 and l(w)?
8
Let a(r) = -6*r + 40. Let w be a(8). Let u(m) = 3*m + 32. What is the smallest common multiple of 17 and u(w)?
136
Suppose i + 0*q + 779 = -2*q, 5*i + 2*q = -3879. Let r = i + 29437/38. Find the common denominator of r and -71/6.
114
Suppose -6*z + 0 = -6. Suppose -c = -4*i - z, 2*i - i + 2*c - 11 = 0. Calculate the least common multiple of i and 3.
3
Let y be ((-24)/5)/(755/150 + -5). What is the common denominator of -358*(-4)/y - (-4 + 0) and 77/38?
342
What is the lowest common multiple of 746 and (32/5)/(29/(1015/14))?
5968
Suppose 3898 = 24*o - 3662. Calculate the lowest common multiple of o and 21.
315
Let a = 5205799/8000435 + -1/219190. What is the common denominator of a and 57/4?
292
Let x(l) = -3*l**2 - l + 4. Let h be x(-2). Find the common denominator of 42/(-8)*(-12)/8 and (-1)/h*(-3)/(18/(-786)).
24
Suppose -5*c + a = -16 + 2, 2*a + 8 = 0. Suppose 10 = -c*g + 38. Let w(n) = 5*n**2 + 38*n + 6. Calculate the smallest common multiple of w(-8) and g.
154
Let p(k) = k - 1. Let v(d) = -4*d + 14. Let n(t) = 12*p(t) + v(t). Calculate the least common multiple of 2 and n(2).
18
Let v = -21 + 103. Let w = v - 58. Suppose -3*z = -0*f + f - 34, 4*z = -4*f + 40. What is the smallest common multiple of w and z?
24
Find the common denominator of ((-1677)/(-390))/(186/10) and -103/14.
1302
Suppose 0*g + 2*g - 6 = 0. Suppose -j = -p + g, -2*p - 2 + 3 = -3*j. Calculate the lowest common multiple of 8 and p.
8
Let c = 37 - 7. Let t be (-184670)/c + (-2)/(-3). Let o = t - -61641/10. Calculate the common denominator of o and -83/4.
20
Let w = -7/129 - -1873/36894. Let n = 2072/429 - w. Calculate the common denominator of 53/4 and n.
12
Let q(c) = -c**3 + 6*c**2 + 2*c - 9. Let s be q(6). Let y = 153 - 139. Let p = y - s. Calculate the least common multiple of p and 7.
77
Suppose 130 = 5*h + 2*q, -4*q - 52 = 4*h - 7*h. Suppose -6 = -3*w - 18, -4*c = -4*w + h. Find the common denominato