ppose 0 = 3*z + z - h - t, 0 = 2*z + 2*h - 16. Let k = -44 + 56. Calculate the least common multiple of k and z.
12
Let w(n) = -20*n**2 + 2*n - 8. Let t be w(-6). Suppose 3*v - 208 = 2*f, 5*v + 164 = 7*v + 5*f. Calculate the common denominator of t/v - -4 - 2 and -75/16.
144
Let q = 1315/32 + -331/8. What is the common denominator of q and 103/344?
1376
Suppose 191*k + 780 = 190*k. Let u = k + 802. What is the lowest common multiple of 240 and u?
2640
Let t be -1 - (0 + (-61602)/90). Let o = t + -679. What is the common denominator of o and (-15)/(-1)*(-14)/(-21)?
15
Calculate the common denominator of -31/260 and 8/(-40)*5065/1716 + 1/2.
8580
Let i be (-32)/5 + (-4)/(-10). Let b(l) = -l**3 - 6*l**2 - l - 6. Let a be b(i). What is the common denominator of 221/(-36) + a + 19/76 and -61/3?
9
Let o = 1004/17 - 9511/136. Calculate the common denominator of -12/67 and o.
536
Let s be 1224/16*(-1 - -14)*2. Let z = -1345/7 + 12616/63. What is the common denominator of z and (-6)/21 - s/(-168)*-1?
72
Suppose -149 = 3*m - 5*i - 267, m - 5*i = 46. Let a = 40 - 20. What is the lowest common multiple of m and a?
180
Let q = -1/7746 - -79414/135555. Let h = -3/368369 - 36468501/3683690. What is the common denominator of q and h?
70
Let g(i) = 6*i**2 - 38*i + 4. Suppose -11*k - 167 = -1487. What is the least common multiple of k and g(7)?
480
What is the common denominator of -141/700 and (654/100)/(-248 - -251)?
700
Let m(t) = 3*t**2 - 23*t + 9. Let k be m(9). What is the common denominator of (4 - 209/k)*(-3 + 9) and 38/3?
15
Let d = -399/20 - -22. Calculate the common denominator of -15/56 and d.
280
What is the common denominator of (-17)/102 + 193/(-105) - (-4)/3 and -13/700?
700
Suppose -3*p + 5*d - 43 = 0, -p = -0*p - 3*d + 21. What is the common denominator of (-2478)/(-28)*((-14)/p + -2) and -67/78?
78
Suppose -3*z + 3 = -2*h, -h + 8 + 7 = 4*z. Suppose 5*p = z*n + 48, -2*n = p - 4 - 3. What is the lowest common multiple of ((-1)/(-2))/((-9)/(-432)) and p?
72
Let w = 3688464653757581027/1368672 + -2694922270462. Let v = w + 1/14257. Find the common denominator of v and 1/108.
864
Let o = 9/76 + 1893/380. Let k be (2 - 106/16 - -3)*98. Let m = -2173/12 - k. Find the common denominator of m and o.
30
Suppose 17*p - 14 = -150. Calculate the lowest common multiple of 2 and 48/42*(-28)/p.
4
Suppose -6*s - 93 + 219 = 0. Let g be -3 + 19/4 + (-2)/(-8). Suppose 0 = g*u - 4*u + 14. What is the least common multiple of s and u?
21
Let f(a) = -a**3 - 7*a**2 + 40*a + 67. Calculate the smallest common multiple of 54 and f(-16).
31158
Let w = 16165189708609/336632100 - 576/4007525. Let b = w - 48019. Find the common denominator of -50/39 and b.
1092
Let j = -1738 + 20897/12. Find the common denominator of ((1653/180)/19 - 4/10)*-113 and j.
12
Let y(q) = 4*q + 1. Let m be y(-1). Calculate the common denominator of 10/m*(-51)/(-52) and 5/(-8) - -4 - 1*(-9)/6.
104
Let o = 4193 - 21004/5. Find the common denominator of -36/1643 and o.
8215
Suppose 2*o - 61 = -4*s + 13, s - 59 = -2*o. Suppose -h + 3*l = -0*h - o, -4*l = 5*h - 59. Let m = -8 - -10. Calculate the least common multiple of h and m.
30
Find the common denominator of (-17225)/(-122850)*(-3)/1 and -95/66.
1386
Let k = 213 - 168. Suppose -4*r + 3*n + 5 = -k, -5*r = 3*n - 76. Calculate the lowest common multiple of r and 12.
84
Let l(z) = 23*z - 1. Let y be l(2). Suppose 0 = -50*n + y*n - 20. Find the common denominator of -149/6 and (-43)/10 - (6/(-3) - n).
30
Let z = -2412607 - -14520205/6. Let y = -7452 + z. Find the common denominator of y and 26/45.
90
Let f = -2/405 - -10943/1620. Let k = 48 - 39. What is the common denominator of f and -3*(-12)/k - 544/85?
20
Suppose 137*z - 139*z + 1012 = 0. Let c = -499 + z. Calculate the smallest common multiple of 8 and c.
56
Let m = -3357/4 - -42849/52. Let n = 2345/78 + m. Calculate the common denominator of n and -41/14.
42
Let a = 285903 - 202991169/710. Find the common denominator of a and -97/12.
4260
Let t(a) = -4*a**2 - 1283*a - 3465. Calculate the smallest common multiple of t(-318) and (-1 - 1)*(-225)/6.
825
Suppose s - 5*n = 165, 71*s - 76*s = -2*n - 733. What is the least common multiple of s and 1479?
7395
Suppose 138 + 12 = 5*p. Let s(u) be the first derivative of -11*u**2 - 31*u + 7. Calculate the least common multiple of p and s(-4).
570
Suppose 4*q + q - 2*f = 12, -q + 3*f + 5 = 0. What is the least common multiple of 5 and (20/8)/(q/(0 + 4))?
5
Suppose -507 = 4*v - 5*b, -5*v + b = 6*b + 645. Let s = v + 125. What is the smallest common multiple of 14 - (4 - (s - -2)) and 11?
99
Let z = 901 + -242. Let m = -640 + z. Let s = 1320 - 10533/8. Find the common denominator of s and m.
8
Suppose 3*m - 833 = -3*v + 1342, -v = -2*m - 740. What is the smallest common multiple of v and 1606?
8030
Suppose -r = 4*y - 7 - 1, -r + 4*y = 0. Let h = 367 + 500. Calculate the least common multiple of r and h.
3468
What is the common denominator of 10 - (158/395)/((-32)/(-30)) and 17/450?
1800
Let n be 5/(-15)*(-137913)/11. Let j = n - 4175. Calculate the common denominator of j and (-29)/(-58)*(-6)/(-2)*-19.
22
Let s = 21 + -12. Let p(y) = -2*y**2 + 19*y - 17. Let m be p(9). Calculate the smallest common multiple of (-644)/(-42) - (m/(-6) + -1) and s.
45
Let j(c) = -c**2 + 4*c - 7. Let s be j(5). Calculate the common denominator of (-3)/2 - 156/(-546) and (-470)/12 + 4/s.
14
Let d(u) = -2*u**3 + 74*u**2 - 400*u - 20. Calculate the lowest common multiple of 32 and d(29).
14688
Calculate the common denominator of -38 and (-1)/14 - (-15 + (-247224)/(-16884)).
402
Let j be (1 - 9/15)*5. Suppose j*g + 6*l = 3*l + 7, -5*l = -15. Calculate the lowest common multiple of 4 and g - ((-2 - 8) + 1).
8
Let h be ((-4706104)/(-480))/(-13)*1. Let q = h - -2257/3. Calculate the common denominator of -79/8 and q.
40
Let f(t) = -2*t**2 - 5*t + 5. Let k be f(-3). Let v be 3*1 - (6/2 - k). Calculate the lowest common multiple of v + (-6)/3 + 2 + 0 and 9.
18
Let j be 85/(-28)*6046/(-5). Let h = j + -3663. What is the common denominator of h and -1 - (405/100)/9?
140
Let p(t) = t**2 + 27*t + 38. Let q be ((-46)/23)/((-4)/(-46)) + -3. What is the smallest common multiple of p(q) and 18?
36
Let h(f) be the second derivative of f**3 + 7*f**2 + 19*f. Suppose 5*j - 50 - 40 = 0. What is the lowest common multiple of j and h(3)?
288
Calculate the common denominator of ((-691)/(-27640))/(1042/1150 - 1) and -67/252.
3024
Suppose 2*d = 3*j + 1257, -2*d - 17*j + 1233 = -12*j. What is the lowest common multiple of d and 858?
6864
Let s = -15 - -23. Suppose 0 = 2*t + 3*m - s, 4*t + m = 3*m - 16. What is the smallest common multiple of 6 and (-2)/t - (16 + -25)?
30
Calculate the common denominator of 31/15 and 1/18*22017/(-5535).
810
Let c(w) = w**2 - 13*w + 10. Let s = 4 + 9. Suppose -x + 12 = -3*h, 3*h = -2*x - h - 6. What is the lowest common multiple of c(s) and x?
30
Calculate the least common multiple of 216 and ((-15)/(-8))/(175/420)*(102 + 0).
3672
Suppose -5*l + 4*d = -446 + 16, -172 = -2*l - d. Calculate the lowest common multiple of l and 32.
1376
Let j(v) = v**2 + 7*v + 6. Let b be j(-1). Suppose b = -n + 25 + 7. What is the least common multiple of 32 and n?
32
What is the least common multiple of (-2)/(-27) - (-123108)/(-486)*-3 and 1900?
3800
Let g(l) = 178*l - 309. Calculate the least common multiple of g(2) and 2.
94
Suppose -33*k + 38*k = -1030. Let g = k - -115. Let h = g + 93. Calculate the least common multiple of h and 10.
10
Suppose j + 13*j = -20*j + 306. Calculate the lowest common multiple of j and 486.
486
Let d(z) = -16*z - 1. Let s be d(8). Find the common denominator of 3/(-12) + (-102)/72 and s/30 + 0*(-3)/9.
30
Suppose -2*p + 4 = -0. Let n(a) = 13 - 7*a + 4*a + 2*a**2 + 0*a - a. Calculate the least common multiple of p and n(4).
58
Let o = 2425 + -2418. Suppose 0 = 10*s - 79 - 71. What is the smallest common multiple of s and o?
105
Let h = -15413554 + 231308452/15. Let o = h + -7007. Calculate the common denominator of (62/20)/((-24)/(-10)) and o.
120
Let z(p) = -p**3 - 29*p**2 + 17*p + 70. Let j be z(-30). Suppose -99*m = -89*m - j. What is the lowest common multiple of m and 22?
506
Suppose -2*o - 2 = d + 3*d, d + 14 = 4*o. What is the lowest common multiple of 15