2
Suppose -2*t = -2*q + 146, -2*q - 2*t + 147 = -5*t. Calculate the lowest common multiple of 162 and q.
648
Let b = -4337/760 - 37/152. Let r = 33/7 + -5/14. What is the common denominator of b and r?
140
Suppose 3*i - 6*i + 8360 = 5*g, -g = 5*i - 1650. Let m = -113/7 - -37/2. Calculate the common denominator of m and ((-4)/(-10))/(60/g).
42
Let q be -2 - (-24879)/6468 - (-2)/(-8). Let n = q + 22/49. Calculate the common denominator of 51/20 and n.
220
Let b(s) = -s**2 - 7*s - 16. Let p be b(-11). Let l = -50 - p. Calculate the smallest common multiple of l and 21.
210
Suppose 3*j = j - 2*h + 8, -12 = -3*j - 2*h. Suppose 16 = i + 3*p + j, 4*i = -4*p + 24. What is the common denominator of 7/8 and i/(-18) - (-980)/(-231)?
88
Let v(t) = t + 2. Let r be v(7). Let c = r - 7. Suppose -f + 12 = c. What is the lowest common multiple of 26 and f?
130
Let b = -2 - -3. Let t(a) = 32*a - 2. What is the lowest common multiple of 3 and t(b)?
30
What is the common denominator of 164/52 + -3 + 912/(-520) and 21/10?
10
Let a be 1 + 1 - (-5 - -4). Calculate the common denominator of 63/2 and (-186)/28 + (a - 4).
14
Calculate the common denominator of 82/30 + (-51)/102 and 31/330.
330
Find the common denominator of 17388/5940 - (-1)/(-5) and 2/(-5) - 678/105.
77
Suppose -27*z = -9*z - 29412. Calculate the lowest common multiple of z and 2.
1634
Suppose 3*y = -9, 180*b = 181*b + 4*y + 8. Calculate the smallest common multiple of 81 and b.
324
What is the common denominator of -67/26 and (((-2)/2)/5)/(104/262)?
260
Calculate the common denominator of 303*(-1)/24 - -5 and 36/65.
520
Let z = -182/173 - -6429/13840. Calculate the common denominator of z and -89/170.
1360
Let r be -3*2*(-2)/4*1. Let o(z) = -5*z**3 + 5*z + 2. Let m be o(4). What is the common denominator of -43/3 and -3 + m/12 + r?
6
Suppose -223 + 2239 = 6*r. Suppose 5*t - 2*t = r. Calculate the lowest common multiple of 16 and t.
112
Let w = 17/4692118 - 2498951665693/182992602. Let n = -13657 - w. Find the common denominator of n and 21/2.
78
Let f(b) = -b**3 - 16*b**2 + 18*b + 12. Let m be f(-20). Let r = m + -11279/9. Calculate the common denominator of r and 39/11.
99
Suppose -64 = -4*m - 32. Let h(j) = -2*j**2 + 17*j - 7. What is the lowest common multiple of 5 and h(m)?
5
Suppose 321 = 44*b - 383. What is the smallest common multiple of 4/(-18) + (-182)/(-9) and b?
80
Suppose -q + 22 = -18. Calculate the lowest common multiple of q and 88.
440
Let j = -4636/21 + 220. What is the common denominator of j and 97/30?
210
Let m be (-20130)/(-3771) - 2/(-2). Let l = 2/419 - m. Find the common denominator of l and -47/2.
6
Suppose 162 = -4*b + 2*w, -2*b - 7*w - 51 = -2*w. Suppose x + 0*x = 10. What is the smallest common multiple of x and b/(-2) + -1 + -2?
80
Let y(p) = 4*p**2 + p. Let s be y(-1). What is the lowest common multiple of (-1)/(3/(-36)*s) and 38?
76
Let l = 25 + 17. What is the common denominator of (-998)/(-28) + 14/(-98) + 1 and -76*(3 - l/16)?
2
Find the common denominator of 505/50*40/(-16) and (226/42)/((-2)/3).
28
Let c = 2447 + -146767/60. What is the common denominator of c and 67/6?
60
Let r be (2/14)/1 + 12412318/(-3026352). Let v = r - -2/9007. Find the common denominator of ((-91)/(-54))/((-1)/3) and v.
72
Suppose 24 = 6*q - 42. Calculate the smallest common multiple of 10 and ((-1)/1)/((-1)/q).
110
Suppose 0 = -3*r + 8*r. Suppose 2*i + 3314 + 1154 = r. Let f = i + 13507/6. Find the common denominator of 3/5 and f.
30
Suppose 17 = 3*w - 64. Let g = 42 - w. What is the smallest common multiple of g and 36?
180
Suppose 3*f + 5 = 2*l, -4*l - l - f = -21. Calculate the smallest common multiple of 13 - -4 - (-3 + l) and 34.
272
Suppose c = 3*d + 120, 0*c + 335 = 3*c - 4*d. What is the lowest common multiple of c and 70?
210
Let u = 137107433 + -205386922011/1498. Let f = -252/107 + u. What is the common denominator of f and 87/8?
56
Let d(l) = l**2 + 2. Let b(y) = y**3 - 5*y**2 + 12*y - 18. What is the lowest common multiple of d(0) and b(4)?
14
Let x(l) = -l**3 - l**2 + 2. Let t(b) = -4*b**2 + 1. Let s be t(-1). Let n be x(s). What is the common denominator of 81/8 and 67/(-22) + n/40?
88
Let d = 2 - 0. Calculate the least common multiple of d and -13*(-2)/(-3)*-3.
26
Let f = 11 + -3. Let a be (-1)/2*(-3 + -1). Suppose 0*u - 5 = -c - u, -3*u = -a*c - 5. Calculate the least common multiple of c and f.
8
Let d be (54/840)/(12/4310). Let g = 131/7 - d. What is the common denominator of -149/48 and g?
48
Let v(q) = -q**2 - q. Let a be v(1). Let i be (0 + -4)*1/a. Find the common denominator of 18/7 and (-99)/(-30) + (-1)/i.
35
Let p = -16701/2366 - 15/1183. Find the common denominator of -61/642 and p.
4494
Let d = 49/804 - 1226639/8844. Let j = 78 + 62. Let s = j + d. What is the common denominator of s and 41/9?
99
Let j be ((-6)/4)/(6/(-8)). Calculate the common denominator of j + (68/76 - 3) and (17/12)/((-6)/(-9)).
152
Suppose 3*d = -2*y + 22, -3*y = 3*d - 12 - 15. Suppose -u = -37 - 14. What is the lowest common multiple of u and y?
255
Let y = 110499 - 770957/7. Let b = -12647/35 + y. Let q = b - -296/35. Calculate the common denominator of 35/9 and q.
45
Find the common denominator of -127/24 and 1/(-1) + (-405)/(-36).
24
Let t(b) be the second derivative of -b**4/6 + 4*b**3/3 + 3*b**2 + b. Let q be t(5). Let l(c) = -8*c - 10. What is the smallest common multiple of l(q) and 16?
176
Let v be -6*5/((-45)/(-12)). Calculate the common denominator of ((-101)/4)/((-12)/v) and 47/13.
78
Suppose 7*s + 196 = w + 4*s, 3*s = -2*w + 410. Calculate the common denominator of 60/32*22/3 and w/(-6)*(-9)/66.
44
What is the common denominator of -49/36 and (-394)/(-360) + -4 - 18/(-30)?
36
Let q(j) be the third derivative of j**5/20 + 5*j**4/24 + 2*j**3/3 + 6*j**2. Let c = 16 + -10. Calculate the smallest common multiple of c and q(-1).
6
Let o = -5/321 - -41419/642. Let v = 89 - o. What is the common denominator of v and (188/(-18)*-3)/6?
18
Suppose -5*v + 144 = -2*v. Suppose -4*d - 8 = v. What is the common denominator of (-114)/8*d/84 and -31/5?
40
Let g(j) = -6*j - 6. Let k be g(-10). Suppose r = 4*r - k. Calculate the least common multiple of r and 8.
72
Suppose -4*t + 5 - 17 = 0. Let y be 1*(t - -3*2). Suppose n + 3*j + 7 = 2*n, -17 = -2*n + y*j. Calculate the least common multiple of 8 and n.
40
Suppose 0 = -i + 3*i + 18. Let o = i + 13. Suppose 2*m - j = -m + 36, -2*m + j + 24 = 0. What is the lowest common multiple of m and o?
12
Suppose -h + 7 = -0*h. Let l(c) = 0*c - h + 16 + c**2 + 2*c - 9*c. What is the least common multiple of l(6) and 1?
3
Let m = -119 - -215. What is the least common multiple of 256 and m?
768
Find the common denominator of (-6)/6 + 53/24 and (-3)/(-27) - (1 - (-194)/180).
120
Let g = 48191/5163 + -1/1721. What is the common denominator of 65/3 and g?
3
Let u = 132053189/3730 + -35403. Let k = u + -56881/5595. Calculate the common denominator of -61/5 and k.
30
Let u(m) = m**3 - 9*m**2 + 3*m - 20. What is the lowest common multiple of (22/6)/(1/3) and u(9)?
77
What is the common denominator of (-15)/(2700/(-451)) + 2/(-10) and 73/28?
252
Let m = 26 + 154. What is the lowest common multiple of 54 and m?
540
Let y = -39 + 69. Suppose 0 = 10*v - 8*v - 18. What is the smallest common multiple of v and y?
90
Let v(j) = -j**2 + 45*j + 126. Let x(m) = m + 6. Calculate the lowest common multiple of v(47) and x(-3).
96
Let h = -37871/70 - -541. Find the common denominator of h and 18/35.
70
Let w(m) = 30*m - 224. Calculate the smallest common multiple of 92 and w(8).
368
Suppose 0 = -w + 3*q + 25, -w - 5*q - 2 = 13. Let k = 8 + -5. What is the lowest common multiple of k and w?
30
Let c = -22383077 + 25427177161/1136. Let o = -7/142 + c. Find the common denominator of (327/1526)/((-110)/(-113) + -1) and o.
112
Suppose -5*w - 2*s - 233 - 176 = 0, -5*w = -3*s + 399. Find the common denominator of (9/w)/(2/14) and -50/11.
99
Suppose 0 = -2*p - 3*x - 55, 4*x - 22 = p + 22. Find the common denominator of 43/28 and ((-1)/(p/(-26)))/(4/(-28)).
112
Calculate the common denominator of 1 - (-1506)/(-495) - 4/(-3) and -91/50.
550
Let b = 70 + -82. What is the common denominator of (1 + 69/(-27))/((-3)/b) and -43/27?
27
Let h = 825 - 1585/2. Calculate the common denominator 