(1 - 10).
2848
Calculate the common denominator of 59/1040 and 158/44*(477/60 + -8).
11440
What is the common denominator of -31/540 and 15129/(-738)*(-2 - (-1)/100*197)?
5400
Suppose -21*s = 2126 + 1906. Let r = -180 - s. Let a(x) = -x + 9. Calculate the smallest common multiple of r and a(5).
12
Suppose 5*u + p = -8, 4*p = p + 6. What is the smallest common multiple of (-22 - u)*5/20*-2 and 26?
130
Let u(w) = w**2 + 8*w + 20. Let q be u(-3). What is the common denominator of 8 + 3380/(-225) - 1/q and -31/30?
90
Suppose 0 = -4*b - 4*l, 4*b + 3*l = 2*l + 3. Let k be (22 + -13)/(b - 26/32). Calculate the common denominator of ((-58)/32 - -2)*146/k and -35/22.
1408
Suppose -g + 59 = 2*w - 2, -g + 57 = 4*w. What is the common denominator of (-45)/42 + 39/g and 65/8?
280
Suppose 0 = -12*l - 6595 + 16279. What is the common denominator of (l/90 - 0) + 2/6 and -93/8?
40
Calculate the common denominator of (8/(-16) - 57/(-116))/((-140)/665) and -55/812.
3248
Let v(z) = -21*z**2 + 11*z - 14. Let u(g) = 63*g**2 - 32*g + 39. Let h(x) = 6*u(x) + 17*v(x). Calculate the least common multiple of h(-1) and 748.
748
Suppose 0*y + 1 = 4*y - 5*f, 4*f = 4*y - 4. Suppose -t + 5*t + y*w - 60 = 0, w + 21 = t. What is the least common multiple of 44 and t?
396
Let q = -4030 + 36260/9. Calculate the common denominator of -52/355 and q.
3195
Suppose 0 = 1163*m - 1146*m - 77 + 9. What is the smallest common multiple of m and 12276?
12276
Let i = -16 - -24. Suppose 4*m - i = 24. Suppose -1 = p - 2*a, -4*p + 0 = -4*a - 12. Calculate the smallest common multiple of m and p.
56
Let s(r) = r**3 + 4*r**2 + 4. Let t be s(-4). Suppose -t*k - 5*l = 11, 12 = l - 5*l. What is the least common multiple of 18 and k + -3 - (-11 + (3 - 0))?
18
Let v(z) = 31*z**2 + 5*z + 30. What is the lowest common multiple of 18 and v(-4)?
4554
Suppose -143*w = -523*w - 3883681 + 14233361. What is the smallest common multiple of w and 12?
81708
Let n(c) = 520*c - 5760. Calculate the smallest common multiple of 1500 and n(13).
3000
Let z(u) = 30*u. Calculate the least common multiple of 17 + 1114/(-74) + (-204)/(-3774) and z(2).
60
Let i(o) = 3*o + 94. Let b be i(29). Let u be (-4)/(16/(-12)) + (-1706)/9. Let j = u + b. What is the common denominator of j and -51/8?
72
Let a = 428811 - 551879800/1287. Calculate the common denominator of -137/162 and a.
23166
Let f(r) = r**3 - 15*r**2 + 18*r - 25. Let v be f(14). Suppose -v = -4*g + 145. Calculate the least common multiple of g and 156.
1716
Let j = -113 - -134. Calculate the lowest common multiple of 1251 and j.
8757
Let t = -37273/2 + 18646. What is the common denominator of t and 119/960?
960
Let k be (-5 + 4 + -2)*(-14 - -13). Suppose 2 = -5*f + u, -1 = -2*f + 2*u + 3. Calculate the common denominator of 3 + f/(-8) + k and 45/16.
16
Let a(i) = -i**2 + 20*i - 45. Suppose 8*s = 143 - 7. What is the smallest common multiple of 3 and a(s)?
6
Let m(t) = t + 17. Let r be m(-9). Let i be -14 - 3*r/(-6). Find the common denominator of ((-913)/i)/11 - 2 and 83/6.
30
Let m be 32/112 + -2 + (-183228)/(-14). Let c = -274727/21 + m. Calculate the common denominator of c and 83/24.
168
Let q = 63837/2164 + 1/2164. Let c = -1/16633 - -1247501/432458. Find the common denominator of q and c.
26
Let r be 12/(-9) - (-25848)/(-378). Let z = -431/7 - r. Calculate the common denominator of z and 63/32.
224
Let m = -271 + 298. Calculate the common denominator of -69/38 and ((-207)/m + 7)/(8/234).
38
Let x be 355512/(-342) + 5 - 6. Let w = 1041 + x. Find the common denominator of 97/12 and w.
228
Let p(a) = 5*a - 14 + 14 - 68. What is the lowest common multiple of p(14) and 3/(1 - (-3 + 3))?
6
Suppose -4*i - 1047 = 765. What is the least common multiple of 36 and (-1 - (-826)/4) + i/302?
612
Let t = 18 + -29. Suppose -17*m + 51 = -4*v - 16*m, 0 = 2*v - 2*m + 18. What is the common denominator of v and 1095/693 - 2/t?
21
Let d = 964 - 873. What is the lowest common multiple of 26 and d?
182
Suppose 5*i + 345 = -4*m, 6*i + 260 = -3*m + i. Let o = 89 + m. Suppose 0*q - 120 = -o*q. Calculate the least common multiple of 5 and q.
30
Let m = -7302994/509511 + 1/169837. Suppose -5*f - 28109 = 4011. Let g = 77239/12 + f. What is the common denominator of g and m?
12
Let v be (-13)/(-234)*(-257028)/1828. Let z = v + -10/457. Find the common denominator of -71/66 and z.
66
Suppose -12*q + 28 = -44. Calculate the common denominator of 2644/(-672) - (-10 + q) and 19/4.
168
Suppose 2*d + 4*f = 56, 3*d = 5*f - 48 + 77. What is the least common multiple of 74 and d?
666
Let k = 268145 + -60064577/224. Find the common denominator of k and 59/448.
448
Suppose -133*k + 57003 + 28117 = 0. What is the smallest common multiple of 224 and k?
4480
Suppose 0 = -7*v + 5*v + 6. Suppose 4*y + 4*x - 40 = 0, -4*y - 8 = -v*x - 62. What is the common denominator of 13/12 + y/9 and -93/28?
84
Suppose 0 = 5*q - 0 + 35. Calculate the common denominator of (-1 + (-141)/(-2))/(-6) and 1/24*(q + (-150)/(-18)).
36
Let z(j) = -8*j - 124. Calculate the least common multiple of 17 + -14 + 17*(-12)/(-4) and z(-20).
108
Let l(y) = -2*y**3 + 11*y**2 - 62*y + 438. Let p(m) = -2*m**3 + m**2 - m + 2. Calculate the smallest common multiple of l(6) and p(-2).
120
Let j = -3/3170 - 1553/317. Let l be 80/(-12)*(-12)/(-10). Calculate the common denominator of 294/(-45) + l/12 and j.
10
What is the least common multiple of 900 and 9315/(-414)*72/(-10)?
8100
Suppose 5*m + 5*m - 30 = 0. Suppose 4*j + 4*x - 4 = 0, 4*j + 0*j = -m*x - 1. What is the common denominator of (j/((-64)/6))/(54/568) and 41/4?
36
Let p = -556 - -479. Let c = 97 + p. What is the smallest common multiple of c and 20?
20
Let p = 2/1895 - -39523/257720. What is the common denominator of p and 137/140?
4760
Let q = -50285266349/12619956 - -1/3154989. Suppose 3*t = -t + 15980. Let o = t + q. Find the common denominator of o and -51/10.
60
Let t(i) = -5*i + 154. What is the lowest common multiple of t(11) and 121?
1089
Suppose -1785911 = -4*d + 5*u, -3*u + 6*u = 15. Let p be d/(-90) - (-3)/5. Let q = 208643/42 + p. What is the common denominator of 87/2 and q?
14
Calculate the lowest common multiple of 15/1*(2 - 3)*2484/(-36) and 1495.
13455
Calculate the common denominator of (-1 - 407/(-336)) + 8/(-56) and -181/180.
5040
Let m be (-15113)/11730 - (-3)/18. Let n = m + 14149/7590. Find the common denominator of 85/48 and n.
528
Find the common denominator of 79/20 and (-3)/((-6)/(-5)) - (106930/(-2544))/17.
6360
Let v(f) = -f**3 + 12*f - 6. Let m be v(3). What is the lowest common multiple of -1 + m + -8 - -132 and 99?
1386
Suppose -11*q = -87*q + 17480. Calculate the least common multiple of 253 and q.
2530
Let n be 1377/11 + (138/(-33) - -4). Let j = n - 81. Find the common denominator of -79/24 and (-7 + 1)/3 - j/3.
24
What is the smallest common multiple of 42327/144 - (-13)/208 and 539?
3234
Let b be (5 - 1 - 3) + (-2)/(-1). Suppose b*o + 29 = 41. Suppose -o = 4*y - 60. Calculate the lowest common multiple of y and 22.
154
Let s be (2 - (-1198442)/(-44))/((-12)/(-8)). Let m = 18159 + s. What is the common denominator of 7/8 and m?
264
Let b = -169801/10 + 16979. What is the common denominator of b and 73/2284?
11420
Let w(h) = -9*h + 2*h - 7*h + 2*h + 48. What is the lowest common multiple of w(3) and 12?
12
Let s(p) = p**2 - 4*p - 145. Suppose 2*q - 11 = 2*r + 3, 25 = -3*r + 2*q. What is the smallest common multiple of 40 and s(r)?
40
Suppose 18*g - 142 = 398. What is the common denominator of 6 - 5*((-86)/g - 1) and (-406)/(-12) + (-4)/(-6)?
6
Suppose 2436 - 6280 = -31*j. Calculate the lowest common multiple of 1395 and j.
5580
Let b = 5326/9 - 592. Find the common denominator of (104/24 - 4)*-67 and b.
9
Let x = 44665141/1455077 - 77810/2451. Let o = x + -2/1781. Find the common denominator of 0 + (10/8)/((-15)/80) and o.
39
Find the common denominator of -21/248 and (-18)/27*-255*(-1)/496.
248
Let h = 21 - -18. Suppose 21 = 42*y - h*y. Suppose 5*c = 5, y*c - 3*c + 36 = 4*o. What is the smallest common multiple of 3 and o?
30
Let i = 18537 + -2502523/135. Find the common denominator of i and (86/(-240))/(78/(-104)).
270
Let g(r) be the third derivative of -r**5/60 - 7*r**4/24 + 2*r**3/3 - 13*r**2. Let h be g(-8). Find the common denominator of 