 3*c. Calculate the common denominator of (-473)/a - 4/(-20) and 65/14.
126
Let i(u) = -u**2 - 7*u + 4. Suppose h - 2*g - 4 = 0, -3*g = -2*h + h + 6. Suppose 0*z - 3*z + 54 = h. Calculate the smallest common multiple of i(-7) and z.
36
Suppose -4*n - j = -76, 0 = -2*n - j - j + 32. What is the least common multiple of 2/3 - n/(-6) and 2/(-4 - 17/(-4))?
8
Let a = 43 - 126. Let p = -9 - a. Calculate the common denominator of -27/2 and 15/(-27)*p/5.
18
Let u = 3807/2 + -21279/10. Let c = -3646/15 - u. Calculate the common denominator of c and 65/8.
24
Let a(i) = i**3 + 0*i**2 + 2 - i**2 - 8*i**2. What is the least common multiple of 10 and a(9)?
10
Suppose s = 5*s - 3*w + 560, 5*s + 700 = -4*w. Let j be 3/(-1 - -4) + 3. Find the common denominator of 1/22 and ((-8)/s)/(j/265).
154
Let c = 1/241 - -9395/964. Find the common denominator of c and -31/12.
12
Let f = 10 + -6. Suppose -f*v + 11272 + 936 = 0. Let x = v + -30641/10. Calculate the common denominator of x and -57/7.
70
Suppose j + 7 = 3*m, 5*j - 20 = -3*m - 1. Suppose j*r - 4*d = 28, -5*r + 18 = d - 63. Calculate the smallest common multiple of -1 + 2/4*10 and r.
16
Let q = 7 + 5. Let y(p) = 13*p + 1. Calculate the smallest common multiple of q and y(1).
84
Let q be 2 + -3 + (-2 - -5). Suppose -4 = q*l - 24. Calculate the lowest common multiple of 10 and l.
10
Let b = 12 + -10. Let z = -26 - -33. Calculate the smallest common multiple of b and z.
14
Let g = -1 - -3. Let z be 203/(-2) + 1/g. Calculate the common denominator of z/(-3)*(-6)/8 and -48/5.
20
Let n be -3 + (4 - (-1641)/156). Let k = n + -62/13. Calculate the common denominator of -23/4 and k.
4
Let s(j) = -j**2 - 8*j - 4. Let b be s(-6). What is the common denominator of 121/18 and (-282)/(-20) - (b + -5)?
90
Let w = 1 - 6. Let v be (-1)/w - 1868/(-10). Suppose t + 3*t + v = 3*i, -5*t - 230 = -3*i. What is the common denominator of t and -31?
1
Let a = -89/8 - -553/40. Find the common denominator of 43/10 and a.
10
Let t = -547 - -353. Calculate the common denominator of t/8*2/7 and 49/22.
154
Let s be 8/10*10/4. Suppose v - 3 = 11. What is the smallest common multiple of v and 21 + 2 + (1 - s)?
154
Let l = -8/315 + -7633/1260. Let k = -76 - -28. Calculate the common denominator of ((-298)/(-15))/(k/(-30)) and l.
12
Calculate the common denominator of 23/8 and -11 + 9 + (-136)/(-6).
24
Let n(h) = h**2 - 3*h + 2. Let d(u) = -u**3 + 5*u**2 + 5. Let z be d(5). Let x be n(z). What is the common denominator of (-3)/x*158/4 and -87/2?
8
Let r = -4/351 - -6088/351. Let x = -22/61 - 3067/122. What is the common denominator of x and r?
6
Let d(p) = p**3 + 8*p**2 - 4*p - 20. What is the smallest common multiple of 2 and d(-8)?
12
Let i(n) = -n**3 - 13*n**2 + 14*n + 4. Calculate the smallest common multiple of 6 and i(-14).
12
Let a = 97 + -61. Calculate the least common multiple of 4 and a.
36
Suppose -24 = -4*w - 0*w - z, 0 = 5*z + 20. Calculate the lowest common multiple of w and 5.
35
Let p = 1 - 0. Find the common denominator of (-150)/9 - -1 - p and -2/11.
33
Let b = -6174 - -3853. Let d = -9199/4 - b. Find the common denominator of d and 19/6.
12
Suppose 0*s + s - 6 = v, 0 = 5*s - v - 22. What is the smallest common multiple of 10 and s?
20
Let m(i) = -i - 6. Let b be m(-11). Let a = b - -2. Calculate the smallest common multiple of a and 7.
7
Suppose 0 = 6*z - z + 30. Let r be 212062/(-24) + z/3. Let s = r - -8833. Calculate the common denominator of -61/20 and s.
60
Let k(r) be the second derivative of r**3/2 - 5*r**2/2 + 4*r. Calculate the least common multiple of 14 and k(7).
112
Let j(h) = -h - 5. Let w be j(-5). Let u be 9 - (w + -2) - -2. Let a = u + -6. What is the least common multiple of 2 and a?
14
Let k = -394/85 + 25/34. Let v = -4602/43253 + -2/1169. Let o = v + 267/74. Find the common denominator of k and o.
10
Suppose -r + 7*r = 156. Calculate the least common multiple of r and 6.
78
Let w = -161309/40 + 4033. Find the common denominator of w and 89/12.
120
Let f = 153 - 146. Let v(u) = -u**3 - u**2 + 4. What is the lowest common multiple of v(0) and f?
28
Let h = 59 - -107. Calculate the common denominator of 37/7 and h/(-6)*18/12.
14
Suppose 0*k - 4*k + 16 = -4*v, -5*k + 14 = -2*v. Let t(a) = -40*a + 8. Let n be t(5). Calculate the common denominator of k/(n/(-22))*3 and -19/4.
16
Calculate the common denominator of (18/42)/(60/(-21)) and 27/10.
20
What is the common denominator of 79/8 and (-45)/(-20)*(-372)/90?
40
Let s = 29 + -21. Calculate the smallest common multiple of 22 and s.
88
Let p = 1 + -5. Let z = 10 - p. What is the least common multiple of z and 16?
112
Suppose -4*n - 11 - 25 = -4*q, -3*q - n + 23 = 0. Let t(f) = -f**2 + 8*f + 10. Calculate the smallest common multiple of 7 and t(q).
70
Find the common denominator of 59/7 and 44/8 - 2 - -2.
14
Let n = 12 - -15. Suppose 0 = 3*q - 4*x - 12, 0 = -2*x - 3*x. What is the common denominator of 10 and 6/n - (-12)/q?
9
Let q(g) = -g**2 - 6*g + 3. Let w be q(-3). What is the common denominator of (-1)/(-22)*(w - 60) and -53/2?
22
Calculate the common denominator of -34 and 2 + (-5)/((-200)/164).
10
Let n = 775/18 + -154/3. Find the common denominator of (-8)/16*150/(-14) and n.
126
Find the common denominator of 17/14 and 12/(-3) - 217/126.
126
Let n(y) = -7*y. Let k be n(-1). Let t(p) = -8 + 3*p - 1 - 1. What is the least common multiple of 7 and t(k)?
77
Suppose -6 = -5*p - 101. Let c = p - -27. What is the common denominator of -59/4 and 2/2*c/(-10)?
20
Suppose 18 - 4 = t. What is the least common multiple of t and 26?
182
Let p = 14 + -13. What is the common denominator of 66/(-20) + (0 - p) and -75/22?
110
Suppose 3*n - 2*n - 543 = 0. Let w = -1107/2 + n. What is the common denominator of w and (-85)/22 + (-15)/30?
22
What is the common denominator of 73/9 and (1 - 2)*776/64?
72
Let c = -10 + 7. Let n(j) = -2*j + 3. Let w = -141 - -147. What is the smallest common multiple of n(c) and w?
18
Suppose -2*y + 75 = 5*p - y, -2*p + 8 = -4*y. Calculate the lowest common multiple of p and 4.
28
Let b(k) = -1356*k**2 - 1. Let f be b(2). Let c = f - -21483/4. Let w = -43 - c. What is the common denominator of w and 8/7?
28
Let f = 21 + 31. Calculate the least common multiple of f and 10.
260
What is the common denominator of 97/16 and (4 + -2)/1 + (-21)/22?
176
Let i(s) = -s**2 - 5*s - 2. Let f(o) be the first derivative of o**2/2 + o + 2. Calculate the smallest common multiple of i(-2) and f(1).
4
Suppose -5*n - 36 = -2*b, 4*b - n = 90 - 18. Calculate the lowest common multiple of 12 and 4/b + 34/9.
12
Let d = 1/543 + -49417/2172. What is the common denominator of -65/3 and d?
12
Suppose b - 3*b - 564 = -3*z, -b = -z + 284. Suppose 6 = -3*n + 5*n. What is the least common multiple of n and b/(-40) - 2/10?
21
Let u(f) = -3*f - 7. Let a be 1*6 + -1 - 0. Suppose a*s = 67 + 13. Calculate the smallest common multiple of u(-5) and s.
16
Suppose -5*l = -4*l - 170. Calculate the common denominator of -1 + 308/(-48) + 1 and l/(-12) - (2 + -1).
12
Let a = 5961/11 + -537. Calculate the common denominator of a and -2/7.
77
Let m = 697/6 + -115. What is the common denominator of (-3)/24 + (-425)/56 and m?
42
Let q = 71335/16 + -4460. Calculate the common denominator of 1*-22*22/48 and q.
48
Let z(u) = 590*u - 1. Let n = -3 - -4. Let d be z(n). Let a = d + -13015/22. What is the common denominator of a and 9/4?
44
Let c be (226/(-6))/((-11)/(-3)). Let l = 32/467 + 39343/5137. Let u = c + l. What is the common denominator of 51/5 and u?
55
Let d be (3 + -7)/2 - 0. What is the least common multiple of 19 - (4 - (-6)/d) and 6?
18
Let p = -2592/17 - -49087/306. Find the common denominator of 95/32 and p.
288
Let r(q) = q + 9. Suppose o - 6 = -l - o, -o = 0. Suppose 0*d - d + l = 0. Calculate the least common multiple of d and r(0).
18
Let o be ((-15)/(-12) + 0)*-4. Let i = 8 + o. Suppose -2 = 3*w - 5*w. What is the smallest common multiple of i and w?
3
Suppose 4*u = 12*u - 8. Let m = 0 - 2. Calculate the lowest common multiple of (-4)/2 + m + 5 and u.
1
Suppose 0*q = -5*q + 375. What is the common denominator of 41/2 and (-1 - q/6)/(-6)?
4
Let c = -2/6345 - -123097/12690. Find the common denominator of (-3)/(-1) + (-474)/(-24) and c.
20
Let s(b) = -b + 1. What is the least 