n denominator of (9/30)/(240/(-425)) and (3/4)/((-6)/(-364)).
32
Suppose -2*a - 16 = 4*d, -a - 3*d = -4*a - 6. Let f(s) = 5*s + 10. Let j be f(a). Find the common denominator of (-47)/(-9)*j/20 and -145/6.
18
Let u = -805/11 - -73. Let r = 689/5 - 142. Calculate the common denominator of r and u.
55
Let i(s) = 3*s**2 + 8*s + 6. Let y(b) = b**2 - 6*b + 1. Let v be y(5). What is the lowest common multiple of i(v) and 2?
22
Suppose -2*n = 3*n - 520. Suppose 43 - 31 = 3*p. Suppose -v + p*m = v - 24, 0 = -5*v - m + n. Calculate the lowest common multiple of v and 4.
20
What is the common denominator of 254/(-1016)*(-2)/(8*-1) and ((-6)/(-8))/(12/(-75))?
16
Let r = 17/310 + -2323/50840. Let q = 1491/1640 - r. Find the common denominator of q and 119/20.
20
Find the common denominator of -27/4 and (148/40 - 4)*(-285)/(-36).
8
Let b = -25 - -30. Suppose 3*d + 4*v = -3 - b, -3*v + 5 = 5*d. Let r = 29 + -28. What is the least common multiple of d and r?
4
Let h = -34 + 36. Suppose 51 = h*m - 29. Suppose i - m = -i. What is the lowest common multiple of 14 and i?
140
Let y be (-12)/54 + (-28694)/(-4464). Let a = y + -18/31. Let s = 5885/411 - -2/137. Find the common denominator of s and a.
24
Let b be 190546/272*(-1)/142. Let c = -42532261/1207 - -35238. Let g = c - b. What is the common denominator of g and 7/34?
272
Suppose v + 3*k - 12 = 0, -17 = v - 5*k - 5. Calculate the common denominator of ((-28)/(-36))/((-10)/v) and -46/3.
30
Let s = -526 - -28391/54. Let y = -6896/4725 - -48/175. What is the common denominator of y and s?
54
Suppose 5*s + 4*k = 8*k + 114, k = s - 23. Calculate the smallest common multiple of s and 10 - -1 - (-2 + 1).
132
Let n = -19 + 29. Suppose 0 = k - 5*k + 20. Suppose 5*w = 3*u - 0*w - 33, -2*u - k*w - 3 = 0. Calculate the smallest common multiple of n and u.
30
Let m be ((-1)/2)/(3/(-90)). Let i be (3/m)/((-66)/(-1841355)). Let q = i + -5581. What is the common denominator of -95/2 and q?
22
Let p = 4 - 7. Calculate the common denominator of (-4)/p*(-28)/6 and (70/(-126))/((-20)/(-264)).
9
Find the common denominator of 42/2*-8*9/(-1296) and -73/54.
54
Let x = 4/117 + 499/234. What is the common denominator of x and 69/46 + 157/(-24)?
24
Let q(l) = 51*l**2 + l. Let s be q(1). Let i = -513/10 + s. Calculate the common denominator of i and (-45)/9 - 50/18.
90
Suppose 16*h - 326 = 234. What is the least common multiple of h and 182?
910
Let g be (-1 - -10)*(-10)/(-30). What is the lowest common multiple of 5*g/15 - -2 and 3?
3
Let f(c) = -2*c - 10. Let b be f(-8). Suppose -x = 2*x - b. Suppose 5*n = x*n - 9. Calculate the common denominator of n and -47/8.
8
Suppose -5*u - 19 = -2*i, -6*i - 5*u - 9 = -3*i. Suppose 0 = 3*z - 10 - i. Calculate the least common multiple of z and 3.
12
Let o = 655/42168 + 147/251. What is the common denominator of -19/196 and o?
1176
Calculate the common denominator of 62/9 and 16/40 + 141/(-1215).
81
Suppose -2*m = v - 110, -116 = -3*m + m - 4*v. Suppose 8*a = 10*a - 16. Calculate the least common multiple of (12/(-18))/((-4)/m) and a.
72
Let a = 11 + 1. Let u be 4/(-10) + 18/(-30). Let d(c) = 14*c**2 - 2*c. Calculate the smallest common multiple of d(u) and a.
48
Suppose -5*j = -10*j - 10. What is the common denominator of 4/7 and (9 + j)*(-10)/3?
21
Suppose 0*w = 4*w - 56. Suppose 21 + w = 5*n. Suppose -n + 29 = q. What is the least common multiple of q and 6?
66
Let q be (7 + 1)*(-10)/(-5). Let v be 2/(-8) + 148/q. What is the common denominator of 6/v - (-573)/72 and 3/2?
8
Suppose 3*d - 46086 + 18012 = 0. Let h = 187217/20 - d. Let l = -294 - -1835/6. What is the common denominator of l and h?
60
Let m = 1963 + -3356. Let y = m + 8419/6. Let o = -1524/13 - -9859/78. Calculate the common denominator of y and o.
6
Calculate the common denominator of 2/13 and 21/39 + (58/(-20))/29.
130
Calculate the least common multiple of 34/2 + -4 + 2 and 1.
15
Suppose 4*x + 236 = -4*r, 2*x = r - 0*x + 50. Suppose 5*y - 48 = 2*y. What is the lowest common multiple of y and ((-144)/r)/((-1)/(-7)) + 2?
80
Suppose -g = 0, 0*g + 2*g - 36 = -3*c. Calculate the lowest common multiple of 34 and c.
204
Let m(s) = 15*s. Let j(u) = 4 + 3 - 5 - 1. Let h(r) = -2*j(r) + m(r). What is the lowest common multiple of 5 and h(1)?
65
Suppose 0 = -2*r + x + 60, 3*r - 5*x - 100 = -x. Suppose 0 = -4*u, 5*n - 110 = -0*n + 5*u. What is the lowest common multiple of n and r?
308
Let f(j) = -97*j - 1. Let n be f(7). Let w be (-2)/3 + n/(-12). Calculate the common denominator of -1 + 2/w*18 and 57/20.
140
Suppose -7*t - 58 + 121 = 0. Calculate the lowest common multiple of t and 93.
279
Let v(r) = -21*r + 443. Calculate the smallest common multiple of 75 and v(8).
825
Suppose 4*w - 5*w = -2. Suppose -5*h - 6 + 46 = 0. What is the lowest common multiple of w and h?
8
Let k = 71 - 71. Find the common denominator of 1 + (k - 3) - (-10)/18 and (1/6)/(5/177).
90
Suppose 117 = b - 2*b. Let y be b*(-6)/9 - 3. Suppose 0 = 5*a - 15 - y. Calculate the least common multiple of a and 10.
90
Suppose -116 = -2*p - 4*s, 3*p = 8*p - 3*s - 225. Suppose 2*k - 4*v + 3*v = 50, -112 = -5*k - 4*v. What is the lowest common multiple of k and p?
48
Let m = -646 + 14209/22. Let j be -9*-218*4/(-48). Let o = -179 - j. Calculate the common denominator of m and o.
22
Let f = 701738/29 - 625182728/25839. Let v = 5101/891 + -57/11. Let z = f + v. Calculate the common denominator of z and -17/3.
33
Let i(d) = d**2 - d + 5. Let c be i(4). Let g = -12 + c. Calculate the least common multiple of g and 6*(13/(-2))/(-13).
15
Let r = -192/749 + 25237/259154. What is the common denominator of -103/20 and r?
3460
Let q be (7/(-2))/7 + 9/6. Calculate the common denominator of q/3 - 3850/264 and -31/90.
180
Suppose 26*t - 4 = 24*t. Suppose -p + 13 = t*g, -g = -2*p + 2*g + 33. Calculate the lowest common multiple of p and 6.
30
Calculate the least common multiple of (1 + 2)/6*4 and (-352)/(-20) + (-2)/(-5).
18
What is the smallest common multiple of 13/(13 - -39) - (-119)/4 and 60?
60
Let k = 4676 + -98146/21. Let f = -84 + 1291/15. What is the common denominator of f and k?
105
Suppose 5*b = 12 - 2. Suppose -2*t + 20 = b*t. Suppose 0 = -2*v + 5*r + 27, 0*r - t*r = 4*v - 9. What is the lowest common multiple of 7 and v?
42
Let g = -297 + 305. Let k(b) = b**2 + b. What is the smallest common multiple of k(2) and g?
24
Let h = 11 + 1. Let o = h + 115. Let k = o - 91. Calculate the least common multiple of k and 4.
36
Let q be (66/12)/(3/126). Let p = -1/1846 - -26773/11076. Calculate the common denominator of p and ((-22)/q)/((-12)/707).
36
Let s = 88 - 42. What is the common denominator of (1/(-15))/(s/3519) and -97/40?
40
Suppose -2*q + 4*q - 68 = 0. Calculate the common denominator of ((-18)/(-80))/((-6)/328) and 2 + -3 - q/11.
110
Let x(k) = k + 2. Let u be x(-2). Suppose 4*g - 37 = y, u = 8*g - 4*g - 3*y - 31. What is the lowest common multiple of (-2 - (2 + -10))/1 and g?
30
Suppose -3417 = -14*v - 477. What is the smallest common multiple of v and 56?
840
Let a = 8250874/204413 + -2/18583. Let f = a + -37. Find the common denominator of f and 23/59.
649
Let b(n) = n**2 - n - 16. Let s be b(-4). Calculate the smallest common multiple of 3 and -3 - -10*34/s.
246
Let q = -35 - -35. Suppose 2*i + q*h = h + 24, 3*i = 2*h + 34. What is the lowest common multiple of i and 18?
126
Let x = -53101/36 - -1477. Calculate the common denominator of 39/16 and x.
144
Let y = 580/407 + -9/37. What is the common denominator of (-82)/(-21) - 370/(-555) and y?
77
Let h = 4 - 2. Let j be -5*(-6 - (-32)/10). Suppose -j = -3*s + 2*u, u - 26 = -4*s - 0*s. Calculate the least common multiple of h and s.
6
Suppose 3*j + 3 = -z, -3*z - 5*j = -4*z - 43. Let q be (3493 + 2)*(-30)/z. Let r = -116437/20 + q. Calculate the common denominator of r and -149/12.
60
What is the least common multiple of (-48)/(-6)*(-5)/(-10) and ((-150)/12)/((-1)/2)?
100
Let y = 10725 + -160783/15. Calculate the common denominator of ((-351)/(-650))/((-40)/150) and y.
120
Let h = 6 - 3. Let b(g) = g**2 + g - 635. What is the lowest common multiple of h and b(25)?
15
Suppose -5*f = -4*k + 5005, 3*k - 3*f - 141 - 3609 = 0. Let d = k + -9983/8. Calculate the common denominator of d and 59/4.
8
Let v(n) = -3*n + 10. Let a