Let r be (-12)/(-18) - (-28)/(-6). Find the common denominator of (-5704)/240 - r/(-10) and ((-1)/3)/(4/(-354)).
6
Suppose 0 = -7*c + 2*c + 100. What is the smallest common multiple of c and 4?
20
Let q(z) = -47*z + 1. Let a be q(-5). Let x = 408 - a. Let o = 389/2 - x. Calculate the common denominator of o and -23/8.
8
Let j(k) = k**2 - 12*k + 9. What is the smallest common multiple of j(12) and 6?
18
Let s = 3 + 0. Suppose 5*i = -2*u + 53, -2*u - 23 = -s*i - u. Let b(g) = g**3 - 10*g**2 + 12*g - 5. What is the smallest common multiple of b(i) and 2?
22
Let u = 85481/84 + -4079/4. Let y be 1 + 349*2/(-252). Let c = u + y. What is the common denominator of c and -44?
9
Let y = -15 + 11. Let p be ((-2)/6)/(y/60). Let h = p + -1. What is the least common multiple of 1 and h?
4
Suppose -12*w + 100 = -7*w. What is the smallest common multiple of w and 4?
20
Suppose -7*y - 1 + 29 = 0. What is the least common multiple of y and 9?
36
Let c = 27 + -17. Calculate the common denominator of (-22)/10 - (2 + -1) and c/(-45) - 1234/36.
10
Suppose 3*i + 4*p - 14 = 0, -p + 6 = 4*i - 4. Calculate the smallest common multiple of 4 and i.
4
Suppose 2*j = -2*b - 36 - 18, 3*j + b + 79 = 0. Let l be ((-126)/(-75))/(j/70). Let x = l + 3/130. Find the common denominator of x and -77/8.
8
Suppose -2*y + 5*x - 3*x + 20 = 0, 0 = 4*y - x - 40. Let k(u) = 3*u**3 - 3*u**2 + 3*u - 2. Calculate the least common multiple of k(2) and y.
80
Let y = 22 - 4. Calculate the least common multiple of y and 16.
144
Let r be (32/(-12))/(1/3). Let h = r - -10. Calculate the smallest common multiple of h and 20.
20
Suppose 2 + 0 = s. Suppose -s*j = -h - 0*h - 6, -4*h + 2*j - 24 = 0. Let c(p) = -p**2 - 8*p + 2. Calculate the lowest common multiple of 2 and c(h).
14
Suppose -4*s = x + 2*x + 6, 0 = -x - 3*s - 7. Suppose -20 = x*n - 7*n. What is the smallest common multiple of 1 and n?
4
Suppose 1 = 2*t - 5*d + 16, 2*t = -3*d - 7. Let m(u) = -1 + 5*u**3 - 5*u + 2*u**3 + 7 - 6*u**3 + 4*u**2. Calculate the smallest common multiple of 6 and m(t).
6
Suppose g - y - 55 = 0, -48 + 5 = -g - 5*y. Calculate the common denominator of (g/6)/((-10)/6) and (-3)/(-9) + (-626)/60.
10
Let q(b) = 2*b**2 - 9*b - 9. Let z be q(-7). Let o = -2119/14 + z. Find the common denominator of o and 5/6.
42
Suppose 3*g + 4*d = -22, 3*d = 3*g + g - 4. Let j(q) = -3*q. What is the least common multiple of j(g) and 14?
42
Let c = -17309/20 + 865. Calculate the common denominator of c and -21/2.
20
Calculate the lowest common multiple of 12/(-5)*(-40)/6 and ((-16)/12)/((-6)/9).
16
Let o(j) = j + 33. What is the smallest common multiple of 9 and o(-18)?
45
Let h = 4081/6 + -1395/2. Let u = h + 25/6. What is the common denominator of (-4)/(24/105) + 0 and u?
6
Let w = 166184902939/9113244 - -972307/14628. Let u = -18302 + w. Let c = u + -29305/3738. What is the common denominator of c and -101/10?
30
Let s = 7/24 - 177/8. Let r = 11/20 + -14/5. Calculate the common denominator of s and r.
12
Let c = 18 - 8. Calculate the smallest common multiple of c and 14/3 - (-1)/3.
10
Suppose 2*t = t + 6. Suppose 2*j - 5*h = 5, -5*j + t*h = 2*h + 13. What is the smallest common multiple of 7 and (j/(-10))/((-2)/(-24))?
42
Let r = 0 - -3. Calculate the lowest common multiple of (-3)/(2 + r/(-1)) and 5/15*0 + 3.
3
Let s = -16/265 - -13113/2120. Calculate the common denominator of -21/22 and s.
88
Suppose -5*s = -3*f + 2*f - 70, 35 = s + 4*f. Calculate the common denominator of 4/s - 3 - -3 and -13/10.
30
Find the common denominator of (-14)/(-21) + (129/(-162) - 0) and -173/30.
270
Let a = 1505/354 + -5/59. Calculate the common denominator of 23/10 and a.
30
Let z = 1/9 + 2/9. Let b = 10/11 + -229/22. What is the common denominator of b and z?
6
Suppose 2*d - 28 = -2*g, -d - 5 = -2*d. What is the common denominator of (357/(-162))/((-3)/g) and -81/16?
144
Suppose -22 = -5*m + 8. What is the lowest common multiple of m and 2?
6
Suppose 3*t - n + 2 - 1 = 0, -n - 1 = -t. Let d(h) = h**3 + h + 1. Let x be d(t). Let c = x - -5. What is the least common multiple of c and 14?
28
Let a = 44 - 26. Calculate the least common multiple of a and 6.
18
Let n = 297 + -1215/4. Let d = -54 - -105/2. Find the common denominator of n and d.
4
Let u = 156517/18 + -8691. Suppose 4*h = 1265 + 23. Let v = -6429/20 + h. What is the common denominator of u and v?
180
Find the common denominator of 70/12*(-1 - 14/(-10)) and 19/3.
3
Let q be (-4)/(-14) + (-12)/(-7). What is the least common multiple of 2 and q + (-1 - -1 - 1)?
2
Suppose -4*w = -1 - 31. Suppose i = -m + w, -3*m = -0*m - 2*i - 34. What is the lowest common multiple of m and 0 + 0 + 2/1?
10
Suppose 0 = 5*z + 22 - 182. Suppose -3*j = 8 - z. What is the least common multiple of j and 6?
24
Suppose -15*q + 100 = -11*q. Calculate the smallest common multiple of q and 3.
75
Suppose -22 = -2*b + 24. Let x = -15 + b. Calculate the smallest common multiple of 8 and x.
8
Suppose 5*x + 0 + 15 = 5*t, -5*t + 2*x + 18 = 0. Suppose 5*m = 3*v + m + 32, v = -t*m - 16. Calculate the lowest common multiple of 5 and (-1)/(-4) + (-45)/v.
20
Let p = -5218990081/558564 + 200/139641. Let z = 9331 + p. Let a = -1396 + 5501/4. Find the common denominator of a and z.
12
Let j = 3391083/1870 - 9067/5. Let q = 18937/3740 - j. What is the common denominator of q and 57/2?
20
Suppose 0 = 4*a - 12. Calculate the lowest common multiple of 6 and a.
6
Suppose 0*o + 3*n = -4*o + 59, n + 50 = 5*o. Let h = -11 + 18. Calculate the lowest common multiple of o and h.
77
Let f = -5/3451217 - 1816281283/69024340. Let m = 1105511/20 + -55299. Let y = m - f. What is the common denominator of 27/8 and y?
88
Suppose 3*h - 7*h = 168. What is the lowest common multiple of 9 and 9/6*h/(-9)?
63
Let p = 6/223 - 7817/446. Calculate the common denominator of p and -37/6.
6
Let w be (-4)/(-6) - (-22)/3. Let z(g) = -g + 7. Let j be z(w). What is the smallest common multiple of 12 and (-3)/(-1) - (-20 - j)?
132
Let r = -6 + 10. Suppose 1 = 2*u - 5*a + 13, r*a = -2*u + 24. Let t = 65 - 57. What is the least common multiple of u and t?
8
Let s be 454/(-18) - (-12)/54. Let b = 45 + s. Calculate the smallest common multiple of 12 and b.
60
Let q = -14 + 10. What is the common denominator of -97/6 and 115/(-50)*(-5)/q?
24
Let v(r) = 2*r**2 - 5*r - 1. Calculate the lowest common multiple of v(4) and 17.
187
What is the smallest common multiple of 2 and (-2)/4*1*2*-7?
14
Suppose -2*f + 20 = -7*f. Let i be 1/f*(-7 + 3). What is the common denominator of 89/4 and (i + 54/32)*-2?
8
Let j = 35 - 23. Suppose -u + 4 = 0, -4 - j = -w + u. Find the common denominator of 16/(-12) + 624/198 and w.
11
Calculate the common denominator of 95/8 and (1 - -1) + 1389/(-2322)*3.
1032
Let d = -917/26 - 3/13. Calculate the common denominator of d and -95/12.
12
Let r(j) be the third derivative of j**4/24 + 4*j**2. Let q be r(1). Suppose 2 = o + q. Calculate the least common multiple of o and 11.
11
Let o be (-2)/5 + 24/(-15). Calculate the common denominator of (3 + 2)/((-12)/38) and (1 + o)/(14/26).
42
Let t = -80 + 145. Let o = t + -39. Let b = -4 + o. What is the smallest common multiple of 8 and b?
88
What is the smallest common multiple of (-35)/(-4) - (-1)/4 and 4?
36
Suppose -3*k - 6 = 3*f, -4*k - k - 3*f = 20. What is the common denominator of 85/2 and (15/9)/((-3)/k)?
18
Let c = -755/9 - -1117/18. Calculate the common denominator of c and (-142)/40 - 0 - -2.
60
Let w = 1 + 3. Suppose w = b - 0*b. What is the smallest common multiple of 7 and b?
28
Suppose -8 = -3*t - 32. Find the common denominator of 4/(-10) + 33/6 and (3 - (-194)/t) + -2.
20
Let p be 2 - (0 + 3 + -3). Suppose -p*q - 3*u + 35 = 0, -3*q + q = u - 33. Calculate the least common multiple of q and 22.
176
Let l(h) = 2*h**2 - 4*h + 3. Let d be l(2). Suppose 6 = b + p, -d*b - 4*p + 3 = -6*b. Calculate the lowest common multiple of 10 and b.
30
Suppose -8 = -2*g - 0. Suppose 5*j = 2*y - 12, 5*y - 30 = -0*j + 2*j. Calculate the lowest common multiple of g and y.
12
Suppose -5*d + 0*d + 30 = 0. Let z(n) = 3*n - d*n + 4*n + 1. What is the smallest common multiple of z(5) and 9?
18
Let q(o) be the third derivative of o**4/24 + 8*o**3/3 - 8*o**2. Let g = 36 + -24. Calculate the lowest common multiple of g and q(0)