and t.
245
Find the common denominator of (-249)/(-6)*(-1)/3 and (-761)/174 - (-216)/54.
174
Suppose -147*m = -103*m - 704. Calculate the least common multiple of m and 196.
784
Suppose -2*u + 45 = 9. Find the common denominator of (-258)/u - (-4)/(-6) and (-2)/(-1) - (-45)/(-21).
7
Let c be -1 + 1/(-1 - -2) + 1. Calculate the least common multiple of 6 and (4 - 2) + c + 49.
156
Let z = -6 - -12. Suppose -8*g + 7*g + 2 = 0. Suppose -u = w - 3, -3*w + w = -g*u + 26. Calculate the least common multiple of z and u.
24
What is the common denominator of 95/14 and ((-23528)/(-4848) - 5)/((-26)/(-6))?
18382
Suppose 0 = -5*l - w + 90, 28 = 2*l + w - 8. Calculate the least common multiple of l and 1260.
1260
Calculate the smallest common multiple of (76/(-5))/(4/360*-4) and 30.
1710
Suppose 2*c - j = -c + 567, 0 = 4*c - 3*j - 756. Let s = 1753/9 - c. Calculate the common denominator of 18 and s.
9
Let d(w) = -w**2 + w + 6. Let v be d(-4). Calculate the smallest common multiple of 2*(-58)/v - 2/7 and (1 + 8)/(6/4).
24
Let s(u) be the second derivative of u**3/6 + 47*u**2/2 - 4*u. What is the smallest common multiple of 21 and s(-14)?
231
What is the least common multiple of 0 - 1/((-2)/8) and 25*((-6)/(-20))/(21/28)?
20
Let v(q) = -3*q**3 + 50*q**2 + 19*q - 22. What is the least common multiple of v(17) and 3?
12
Let y = -163 - -163. Find the common denominator of y and 95/6.
6
Let n be (102 + -16)*3*1. Find the common denominator of (19/2)/(5 - n/48) and -27/5.
15
Let p = 2/7109 + -803329/42654. Suppose 4 = -2*x + 4*x. Find the common denominator of ((-5)/(-12))/(x/8) and p.
6
Suppose 0 = 9*q - 7*q + 8, 5*f + 2*q - 37 = 0. What is the lowest common multiple of f and 108?
108
Let d = 30312/11 - 2758. Find the common denominator of (19/7 + 1)/((-212)/(-371)) and d.
22
Let q(f) = f + 11. Let j be q(-8). Calculate the lowest common multiple of 3 and 10/(j/15 - (-18)/10).
15
Let v(o) = -10*o**2 + 196*o - 8. Calculate the smallest common multiple of v(18) and 36.
2520
Let z = 339 + -324. Calculate the smallest common multiple of z and 12.
60
Let j(r) = -15*r - 3. Let t be 1*1*(2 + -3). Let s be j(t). Let h = s + -4. Calculate the smallest common multiple of 3 and h.
24
Let f = 337 + -272. Calculate the lowest common multiple of f and 1.
65
Let d be (14 + -2)*1/3. Suppose -h = d*h. What is the smallest common multiple of (-10 - 6)/(-1 + h) and 18?
144
Let i(k) = -98*k**2 - 2*k - 9. Let c be i(5). Let n = 12407/5 + c. Calculate the common denominator of 76/243 and n.
1215
Let w = 10265 + -113133/11. Let s = w - -2719/110. What is the common denominator of s and 49/8?
40
Let h = 29017735/176 - 164874. Let v = -1/2288 + -56053/6864. Calculate the common denominator of v and h.
528
Suppose -6 - 4 = -2*t. Let o = 13 - -14. Suppose 5*f = -4*f + o. What is the smallest common multiple of t and f?
15
Suppose 11 + 9 = 5*r. Let g = -2279/2 + 1115. Find the common denominator of (-2)/8 + (-61)/r and g.
2
Let g = 28 - 24. Let w be (2 + -7)*(-12)/(-10). Let r = 8 - w. What is the smallest common multiple of r and g?
28
Suppose 0 = 7*i - 6*i - 5. Suppose f + 3*t - 3 = i, t = -5*f + 68. What is the least common multiple of 72 and f?
504
Suppose 9*n - 115 = 4*n - 5*l, -3*n = 4*l - 69. Suppose -1 = z - n. Calculate the smallest common multiple of z and 12.
132
Let x = -17 + 21. Suppose -c - 4*c - d = -22, x = 2*c + 2*d. Suppose 0 = -c*b, 2*n = 3*b - 0*b + 24. Calculate the smallest common multiple of n and 18.
36
Suppose 182 = -336*s + 1024 + 1174. Let o = -9 - -29. What is the lowest common multiple of o and s?
60
Let n = -1443 + 11471/8. Calculate the common denominator of 260/(-16) - (0 - 0) and n.
8
Suppose 306 = 22*t - 5*t. What is the smallest common multiple of t and 54?
54
Suppose 6*r - 4*r = 6. Let v(w) = w**3 + 18 - 4 + 13*w - r*w**2 - 2*w**3 - 9*w**2. What is the smallest common multiple of v(-13) and 18?
126
Suppose 4*q - 90 = 18. Suppose 0*f + 4*f - 44 = 4*a, 4*f - a - 56 = 0. Calculate the least common multiple of (-9)/q*(-3 + 0) and f.
15
Let x = -21667 + 650071/30. What is the common denominator of x and -74/27?
270
Suppose 130*m = 3*u + 129*m - 330, 0 = -5*u - 2*m + 550. What is the lowest common multiple of u and 160?
1760
Let z(h) = 3*h + 5. Let u(k) = k + 2. Let w(l) = -5*u(l) + 2*z(l). What is the least common multiple of 10 and w(8)?
40
Let n = 2165/37 + -90911/148. Let z = 534 + n. Calculate the common denominator of -75/4 and z.
4
Let y = -19 - -28. Let a(u) = y - 4*u - u + 6*u. Calculate the smallest common multiple of 7 and a(-5).
28
Let i = 60/289 - 13453/13294. What is the common denominator of i and 93/8?
184
Suppose -2*d + 4 = -5*a, 0*a = a - 4*d + 8. Suppose -5*t - 2*z + 153 = 38, z - 5 = a. What is the least common multiple of 15 and t?
105
Suppose -3*t - 2 = -n, 5*t - n + 3*n = 15. What is the smallest common multiple of 21 and ((-66)/(-2))/(-2 - -4 - t)?
231
Calculate the common denominator of (244/(-84))/(16/24) and -37/4.
28
Suppose -5*t + 62 = 12. Let c = 14 - -14. Let q = c + -18. What is the lowest common multiple of q and t?
10
Find the common denominator of (-71)/(-142)*53/(-8) and 119/150.
1200
Let s be 1*3 + (-11 - -12). Suppose s*g - 9 - 71 = 0. Calculate the smallest common multiple of 6 and g.
60
Let l be ((-250118)/20)/(-11) + 1. Let o = 1143 - l. What is the common denominator of ((-4)/(-6))/(2/28) and o?
30
Calculate the least common multiple of 5 - (-6*(-6)/(-18) - 37) and 6/4*(-8)/(-2).
132
Let t = -2142 + 1134. Find the common denominator of (-82)/(-14) - (-1)/(-2) and (0 - -2)*546/t.
84
Let a = 2352 - 28259/12. What is the common denominator of a and (-464)/168 + 3/2?
84
Calculate the lowest common multiple of (-4 - (-2 + -4)) + 40/4 and (2 + -5 + 4)*56.
168
Let c(r) = -40*r**3 - r**2 - r + 1. Let u(m) = 38*m + 7. Let g be u(5). Let j = 992/5 - g. What is the common denominator of j and c(1)?
5
Let y = 14737/63000 - 2/1125. Calculate the common denominator of -53/80 and y.
560
What is the smallest common multiple of 6 and (-2 - -1)*-3 + 0/(-7)?
6
Let l be -3 - -1 - -2*6. Let s be 4/l + 1608/30. Calculate the common denominator of (s/63)/((-3)/(-4)) and -58/3.
21
Let n = -264757/30 - -8830. Let q = 15 + -41/3. Calculate the common denominator of q and n.
30
Let l = 11 - 9. Suppose l*u - 48194 = -0*u. Let s = u - 433637/18. Calculate the common denominator of 23/20 and s.
180
Let x = 109 + -54. Suppose 2*l - 2 = -0. What is the lowest common multiple of x and l?
55
Let n = 13023/44 - 296. Calculate the common denominator of 9/4 and n.
44
Let t = -864 + 2555/3. Let k = -37 + 27. Find the common denominator of -5*k/(-12) + 4 and t.
6
Let w = 13291/1595 - 21/638. Find the common denominator of ((-19)/(-5))/(2 - 1) and w.
10
Calculate the common denominator of -73/92 and (-1902)/3192 - ((-36)/21 + 2).
1748
Let p(a) = a**3 - 8*a**2 + 8*a - 7. Let o = 22 - 15. Let l be p(o). Suppose l = 9*b - 4*b - 10. Calculate the least common multiple of b and 2.
2
Let d = -1386 - -1406. Calculate the least common multiple of d and 145.
580
Let u = -604 - -646. What is the least common multiple of u and (8/(-6))/((-2)/9)?
42
Calculate the common denominator of 115/24 and (-4)/32*45*(-2)/(-19).
456
Let n be (-9372)/(-9) - 1/3. Let u be (1029633/656)/(2/(4/(-3))). Let p = u + n. Find the common denominator of -1/4 and p.
8
Let a = -2289/2 + 41341/36. Find the common denominator of a and -139/6.
36
Let z(v) = v**3 + 19*v**2 + 44*v + 36. Calculate the lowest common multiple of z(-16) and 32.
800
Calculate the common denominator of 109/12 and -11*44/80 + 3/5.
60
Let o = -23 + 5. What is the common denominator of ((-3)/8)/(o*4/328) and 14/5?
120
Let c = 1459 + -21932/15. What is the common denominator of -143/42 and c?
210
Suppose 5*m - 2*f - 15 = 0, -2*f + 0 + 12 = 4*m. Calculate the least common multiple of m and 4.
12
Let j(i) = 2*i - 1. Let w be j(17). Suppose 5*q - 89 = -3*y, 3*q + 3*y - 24 = w. What is the least common multiple of q and 14?
112
Suppose 17526 = 6*o - 3*o. Let m = o + -81839/14. Let w = 147190/17541 + -9/3898. What is the common denominator of m and w?
126
Calculate the common denominator of -11/10 and -3*505/45*1/46.
690
Let v = -34 + 31. Let b = -9 + 15. Calculate the least common multiple of 3*1/v + 5 and b.
12
Suppose 5*c