et z(s) = -s + 157. Let d be z(0). Let j = -88 + d. Suppose -4*c + w + 0*w = -j, 0 = 5*c - 3*w - 95. Calculate the least common multiple of 6 and c.
48
What is the common denominator of 1/2163 and (-2 - -1)*(-144 - -152) + (-2014)/(-252)?
12978
Let t(v) = 2*v**2 + 5*v - 27. Let c be t(3). What is the common denominator of (-1086)/144 + 9 - c and -7/12?
24
Let p = 7892 + -7641. Calculate the least common multiple of p and 10.
2510
Find the common denominator of -28 + 15 + 14240/1085 and -85/14.
434
Let j be -7 + 3 + 526/(-126). Let k = -3239/630 - j. What is the common denominator of -69/40 and k?
120
Let x = -157 + -99. Calculate the common denominator of 61/34 and ((-32)/x)/((-10)/664).
170
Let y = 311/86 - 14503/2322. Let u(n) = -n**2 - n + 4. Let r be u(-4). Find the common denominator of 95/132 - 2/r and y.
297
Suppose 313 = -7*r + 3*r + 5*s, 5*r = 4*s - 380. Let y = -66 - r. What is the smallest common multiple of y and 169?
1014
Let r = 571 - 123. Suppose 0 = 5*g + 73 - r. Calculate the least common multiple of g and 3.
75
Suppose -a = -4*r - 484, 2*r = -4*a + 2*a + 928. What is the smallest common multiple of 44 and a?
5148
Suppose -27*t = -23*t + 4. Find the common denominator of -71/9 and -3*(-56)/(-228)*t/(-1).
171
Calculate the common denominator of (-18520)/8400 + 6/45 and 11/2446.
17122
Let q(l) = 10*l + 155. Let z be q(-19). What is the common denominator of -2 - (517/(-21) - 10/z) and -89/30?
30
Suppose -201*o + 204*o = 5*f - 2026, 0 = 5*o - 15. Calculate the lowest common multiple of 370 and f.
4070
Let y be 1/(5 + -4)*1. Let b be y/(-3 - (-32)/10). Suppose -b = 2*o - 11. What is the least common multiple of o and 24?
24
Suppose 16*l = -234 - 966. Find the common denominator of 3 + l/21 - 179/(-168) and 85/21.
168
Calculate the common denominator of -15/4487 and ((-1593)/270 - -4) + (9 - 1).
44870
Suppose -6*g - 64846 = 21212. Let o = g - -128953/9. Let y = o - -2195/144. Find the common denominator of y and -133/6.
48
Suppose 5*g - 2*g = 24. Let o(j) be the second derivative of -j**5/20 - j**4/4 - j**3 - j**2 + 3*j. What is the lowest common multiple of g and o(-5)?
312
Let p = 708 + -1628. Find the common denominator of 138/p*125/(-6) and 1/(-4)*(-158)/(-4).
8
Find the common denominator of 3*(-2)/(-21) + 40/(-163380)*747 and -3/4.
1556
Let j(h) = -h + 33. Let f = 29 + -12. Let c be j(f). Calculate the common denominator of (-56)/c*((-7)/(-1))/(-1) and -5.
2
Let w = -4/3555 + 62849/39105. Let o = 83 - 79. Find the common denominator of (20/o - 6)*58/3 and w.
33
Let f = 919 - 1591. Find the common denominator of 32/f*(-2667)/18 and 31/(-9) - 2/(-4).
18
Let o be 6/(-2)*((-4)/3 + 2). Let j = -34 + o. Let a = j - -42. Calculate the smallest common multiple of 90 and a.
90
Let a(s) = -247*s**2 + 4*s - 22. Let r be a(-13). Let q = 8530595/204 + r. Find the common denominator of q and -39/10.
1020
Suppose 0 = 3*q - 9203 + 2936. Let m be (24/140)/(4/(-48979)) + 4. Let h = q + m. What is the common denominator of h and 37/3?
30
Let g = 83 - 83. Suppose g = -9*m + 827 + 109. What is the smallest common multiple of m and 22?
1144
Let z = -13740268 + 302229205/22. Let v = z - -2575. What is the common denominator of 107/30 and v?
330
Let j = -1789 - -1009. Let k = j + 801. Calculate the smallest common multiple of 27 and k.
189
Let v(y) = y. Let f(n) = -778*n - 9. Let l(j) = 2*f(j) - 6*v(j). Let m be l(-4). Find the common denominator of 5/27 and ((-2)/14)/(300/m).
270
Let n(s) = 1935*s - 2. Let w be n(-2). Let f = 81245/21 + w. Find the common denominator of (-2410)/396 + (-252)/154 and f.
126
Let k(m) = -m**2 + 7*m + 4. Let w be k(6). Find the common denominator of (0 - 34/(-48)) + w + -11 and 101/56.
168
Let x = -40 + 38. What is the common denominator of 8/20*((-75)/92 - -5) and 2 - (-57)/(-24)*x/4?
368
Let h(b) = b + 11. Let d be h(-8). Let i = 18 + -43. Calculate the common denominator of (-1 - 20/i)*d and -76/3.
15
Suppose 0 = 4*m - 4*y - 7680, y = 3*m - 613 - 5153. Let f = 2374421/1278 - -8563/142. Let v = f - m. Calculate the common denominator of -131/24 and v.
72
Let u be (-4)/(-2) + -5 + 267525293/(-1960). Let t = 136495 + u. Find the common denominator of t and 85/18.
2520
Let u(w) = -179*w**3 + 2*w - 2. Let g be u(2). Let m = 25703/18 + g. Calculate the common denominator of m and (-469)/(-42)*(-6)/(-9).
18
What is the common denominator of (160/(-32) + (-4036)/(-798))*(11 + -10) and -87/28?
1596
Let t = -47 - -50. Let w be 1 + 3*8/(-12) + t. Suppose 61 = w*k + 25. What is the least common multiple of k and 9?
18
Suppose 3*n = -3*b - 225, -n + 3*b = 45 + 10. Calculate the common denominator of -85/28 and (-22)/(-77)*(-2)/(96/n).
84
Suppose -6*c = 801 - 801. Suppose -5*y - 508 + 643 = c. Calculate the lowest common multiple of (6/4)/(2/28) and y.
189
Suppose -276*t = -69*t - 156492. Calculate the lowest common multiple of 8 and t.
1512
Let z = -60421803/4564 + -1270929/163. Let c = z + 21039. Find the common denominator of -69/40 and c.
280
Let j be (-8)/3*30/(-20). Suppose p = v + 20, -p - 5*v + j + 4 = 0. Calculate the least common multiple of 240 and p.
720
Suppose 0 = -l - 5*r - 12, -4*r - r = -3*l + 24. Suppose -16*b = 23*b - 2925. What is the least common multiple of b and l?
75
Suppose -56 = -27*r + 23*r. Let f = 46 + -14. Suppose -2*s - 2*s = -f. What is the smallest common multiple of r and s?
56
Let i = 436954 + -2614607/6. Let b = i - 1197. Let z = 9188 - 110375/12. What is the common denominator of z and b?
12
Calculate the common denominator of (-4175)/14070 + (-21)/(-49) and -121/18.
1206
Let y = 254 - 449. Let c be (y/2)/(3/(-6)). Suppose 111 = 17*b - c. Calculate the smallest common multiple of 122 and b.
1098
Suppose -743*f = -659*f - 672. What is the smallest common multiple of f and 1038/8 - (-11)/44?
520
Calculate the common denominator of 169/588 and (-28)/294 + (-151)/840.
5880
Let w = -47 - -51. Suppose 2*a = 12 - 4, 0 = w*t + 3*a + 804. What is the smallest common multiple of 1/(1 + 200/t) and 18?
306
Let i(m) = -139*m - 1779. What is the lowest common multiple of 646 and i(-15)?
5814
Let r = -37 + 35. Let o(x) = 2*x**2 + 6*x + 7. Let q be o(r). What is the common denominator of -9/11 and 2 + (q - (-28)/12)?
33
Let g(m) = 65 - 16*m + 17 - 9*m + 15*m. What is the smallest common multiple of g(7) and 20?
60
Suppose 2*h + d + 573 = 0, -h + 47 = -2*d + 341. Calculate the common denominator of (34/h)/(1/(-4)) and -73/60.
180
Let a = 11 - 8. Let r(q) = 9*q + 11 + 20*q - a*q + 7*q. What is the least common multiple of r(3) and 16?
880
Suppose -54754 = -8*p - 7442. Let b be p*10/(-6) + (-3)/9. Let t = b + 138105/14. Find the common denominator of t and 1/8.
56
Suppose -1659*l = -1699*l + 240. What is the least common multiple of 14396 and l?
43188
Let k(o) = -6*o. Let j be k(1). Let u(x) = x**2 + 4*x - 9. Let h be u(j). Find the common denominator of (-1 - (-42)/(-4))/h and -38/7.
42
Let y be 1 - -3 - 225/(-9). Suppose 2*m - r - y = m, 5*m - r - 145 = 0. Let v = m - 28. Calculate the lowest common multiple of 7 and v.
7
Let m = 414017/1255738 - -26/5189. Find the common denominator of 69/88 and m.
968
Calculate the common denominator of 7 + (-15 - (-12652)/1632) and 29/64.
3264
Let s(y) = 2*y**2 + y + 2. Let g = -18 + 15. Let c be (-4)/4 - g/1. What is the smallest common multiple of s(c) and 16?
48
Let p(n) = 26*n + 8. Suppose 4*u + 4*a = 80, 103*u + 4*a = 105*u + 32. Calculate the smallest common multiple of p(7) and u.
760
Let n = 5556 + -127757/23. Let v(d) = 619*d + 5. Let l be v(-6). Let o = 22373/6 + l. Calculate the common denominator of n and o.
138
Suppose 2*t + 2*n - 72 = -2*t, -3*t - n = -56. Suppose 0 = 3*r - 7*s + 5*s - 554, 4*s = t. What is the lowest common multiple of 5 and r?
940
Suppose 105 - 88 = 23*z - 259. Calculate the least common multiple of 1/(-3*(-1)/318) and z.
636
Let z = -46591/198 - -2092/9. Let s = 249708 + -40452565/162. What is the common denominator of s and z?
1782
Suppose -3*a + l = -11, 3*a - 9 = a + l. Let c(z) = -18*z - 5*z + 72 + 6*z. What is the least common multiple of a and c(2)?
38
Find the common denominator of (-187)/(-1596) + (126/(-196))/(-9) and -85/28.
1596
Let d(x) = -21*x - 761. What is the lowest common multiple of d(-37) and 7518?
60144
Suppose 6*w =