et d(a) = -4*a**2 - 11*a - 41. Let c be d(-6). What is the common denominator of u and c/(-2)*(-12)/(-28)?
4
Suppose 147*u - 139*u - 144 = 0. Calculate the least common multiple of u and 360.
360
Suppose 5*k - 3490 = f - 359, -2*f = -k + 619. Suppose 1613 = 20*n - k. What is the smallest common multiple of n and 4?
112
Suppose -4*c - 301*h + 1410 = -304*h, -1749 = -5*c - 3*h. Calculate the lowest common multiple of c and 858.
7722
Let g be (-10)/(8 + (-1337)/168). Calculate the common denominator of (-5 - (-14)/3) + (-818)/g and -45/8.
40
Suppose -2 = -2*o - 10. Let s(u) = u**2 - 11*u - 25. What is the least common multiple of s(o) and 15?
105
Suppose -5*g - 565 = 3*a, -2*g + 32 = 2*a + 258. Let d = g - -121. What is the lowest common multiple of (2*-3)/(21/(-14)) and d?
8
Let g = 1 + 2. Let j be (-14 + 17)/(g/4). Suppose 3*f - 7 = x, -5*x + 4 = -j*f - 5. What is the lowest common multiple of f and 10?
20
Let x = -314/5 + 872/15. Let y = -292447466/66045 + 375873/85. Let f = y - 23/222. Calculate the common denominator of x and f.
42
Let y(p) = p**3 - 16*p**2 + 70*p - 105. What is the smallest common multiple of y(21) and 2040?
14280
Let j = -35 + 39. What is the common denominator of (-27)/j - (-8)/(-12)*1 and 10*-7*1/18?
36
Let o = -653493383447/25510176 + 64/797193. Let r = -25614 - o. Calculate the common denominator of -65/36 and r.
288
Let t be 0 - 26486/10 - -1. Let u = t + 2658. Find the common denominator of u and 879/135 + (-6)/(-10).
45
Let o(s) = 4*s**3 - 2*s**2 - 22*s + 44. Calculate the least common multiple of 516 and o(2).
1032
Suppose -1642*u - 582 = -1739*u. What is the lowest common multiple of 1490 and u?
4470
Calculate the lowest common multiple of 54 and (-1)/27*9*-351.
702
Let i = -2/792248307 + 6595643221765/4282366182104. Let c = i + 3/2027. Calculate the common denominator of c and 99/16.
48
Let j(x) = x**3 - 11*x**2 + 7*x + 31. Let h = -268 + 278. Calculate the smallest common multiple of j(h) and 33.
33
Suppose 2927 = 3*k - 2*q - 691, -4*q + 24 = 0. What is the smallest common multiple of k and 1210?
1210
Let l be 112/6*48/(-32). Calculate the smallest common multiple of ((-735)/(-98))/((-2)/l) and 70.
210
What is the common denominator of 3/21 + (-1)/(9282/12337) and 15/544?
1632
Suppose 19561 = 111*p + 7129. Calculate the lowest common multiple of 455 and p.
7280
What is the common denominator of ((-1)/(-4))/(17/476) + (-1536)/112 and -59/1140?
7980
Let h be (-13894)/(-4860)*(-18 - -17). Let b be (-1 - 496/243) + 3. Let m = b + h. Find the common denominator of -111/40 and m.
40
Let l = -178219/61383 - 4/2923. What is the common denominator of l and -20/39?
273
Let g be 94456/519750 - 6*4/132. Let y = 1771891/189000 + g. What is the common denominator of -51/2 and y?
8
Suppose 5*m = -419 + 1119. Let k = -4 - -14. Calculate the lowest common multiple of k and m.
140
What is the common denominator of (-4938)/29960 - (-60)/(-1050) and 42?
428
Suppose -2*j + 4*w = -214, 0*j + 220 = 2*j - w. Let z = -328 + j. Calculate the lowest common multiple of 145/7 - 62/z and 9.
63
Let r(t) = -5*t - 152. What is the smallest common multiple of 3869 and r(-32)?
30952
Suppose -4*t + 22 = -3*b - 3, t + 4*b + 8 = 0. What is the lowest common multiple of 4 and (t + -14 - -5) + 33?
28
Let w = 1277 - 1239. Calculate the smallest common multiple of 666 and w.
12654
Let r be ((-703)/(-2072))/((-2)/(-53432)). Let m = -9059 + r. What is the common denominator of m and 62/44 - (-1 - 0)?
154
What is the lowest common multiple of 10864 and (-24)/16*8/(-6) + 20?
119504
Let q = -787675/142 - -5547. Calculate the common denominator of -19 and q.
142
Let w be 779036/(-328800) - 2/25. Let g = 10/411 + w. Find the common denominator of g and -34/75.
600
Let v = -4565 + 7547. Calculate the smallest common multiple of 1704 and v.
11928
Let o be (-45)/20*-4 + (-1)/1. What is the lowest common multiple of (-576)/(-80) + o/10 and 32?
32
Suppose 15*q = 7*q + 96. Suppose 0 = -12*a - 2 + 218. Calculate the lowest common multiple of a and q.
36
What is the lowest common multiple of 135 and (7*-12)/3*(-7)/((-49)/(-132))?
23760
Let t = 2249 + -1206. What is the least common multiple of 596 and t?
4172
Let d be 3/(-9) - 1/(15/(-230)). Suppose -2*m = 4, -i + 14*m + d = 11*m. What is the least common multiple of i and (6/5)/(4/50)?
45
Let f = -22157 + 22176. What is the lowest common multiple of f and 76?
76
Let d(g) = -g**3 + 3*g**2 + 9*g + 7. Let n be d(8). Let z = n + -57. Find the common denominator of 69/14 and (z/(-10))/(55/(-25) - -1).
42
Let q(g) = g**3 - 5*g**2 - 31*g - 5. Calculate the lowest common multiple of 54 and q(-3).
432
Let n = -134597252/2299 - -58546. Let v = 94265/6897 - n. Find the common denominator of v and -31/96.
96
Let p(m) = -m**3 - 2*m**2 + 3*m + 4. Let b be p(-3). Suppose 30 = -b*n + 7*n. Suppose 11*u = n*u + 8. Calculate the least common multiple of u and 11.
88
Let y(p) = -p**3 - 18*p**2 + p + 51. What is the lowest common multiple of y(-18) and 45?
495
Calculate the common denominator of -149/4140 and (-1*(-423)/(-324))/(54/12 + 7).
4140
What is the common denominator of -103/12 and 24035/(-5808) + -7 + 11?
528
What is the common denominator of 851/(-1218) - (584/84 + -7)*2 and -31/30?
870
Let n = -4493 + 62919/14. Find the common denominator of n and 127/710.
4970
Let d = -434 + 440. Calculate the lowest common multiple of d*(6 + 237/18) and 8.
920
Suppose -k = 4*d - 10, 272 - 262 = -5*k. Calculate the lowest common multiple of 1854 and d.
1854
Let o = -2/97707 - -2053627/86959230. Calculate the common denominator of o and -56/15.
2670
Let v = 64 - 62. Let j(o) = 1 + 5*o**v - 2*o - 4 - 4*o**2 - 14. What is the least common multiple of j(7) and 27?
54
Let a(n) = 13*n**2 - 258*n + 4. Calculate the smallest common multiple of a(20) and 22.
44
Let f = 63 + -45. What is the least common multiple of f and ((-39)/(-26))/(14/64*48/56)?
72
Let q(o) = o + 11. Let c be q(-6). Find the common denominator of 3*c*-26*2/(-144) and (1/((-8)/(-107)))/(77/(-28)).
132
Let p = -25446910189693455397/50708218573 - 6102/956758841. Let j = -501802671 - p. Let v = j - 27424. Calculate the common denominator of v and 7/4.
212
Suppose 9 = f - x - 27, 5*f - 4*x - 184 = 0. Calculate the common denominator of (-4 - (-188)/f)*(-28)/(-4) and (826/70)/(4/(-1)).
20
Let f = 3519 - 3511. Calculate the lowest common multiple of f and (-96)/(-4) - (0 + 2).
88
What is the least common multiple of ((-14014)/(-5733))/((-10)/18 + (-2)/(-3)) and 98?
1078
Suppose -3*p = 3*y - 3198, 0 = 116*y - 112*y + 3*p - 4264. Calculate the least common multiple of y and 117.
9594
Calculate the lowest common multiple of 114 and (48 - -2)/(-5) + 580.
570
Find the common denominator of (-71)/(-781)*(-1 - (-9)/3) and 89/132.
132
Suppose 50*z + 419 = 53*z - 5*v, 4*z + 3*v - 607 = 0. Calculate the lowest common multiple of z and 88.
3256
Let u be ((-7)/(-2) - 2)*12/(-9). Let p be (-1)/u*(-4092)/110. Let b = p - -341/10. What is the common denominator of -41/9 and b?
18
Let c(z) = z**3 + 8*z**2 + 10*z - 5. Let k be c(-6). Let g(n) = k*n - n - 42 - 10*n + n. What is the least common multiple of 4 and g(-16)?
12
Suppose -146 = -29*n + 27*n. Suppose -n + 883 = 9*k. What is the common denominator of 37/8 and (-6)/(-18) - 993/k?
40
Let a = -344 - -3103/9. Let z be ((-3)/(-62))/(27/7308). Let f = -21323/1550 + z. What is the common denominator of f and a?
450
Let s(p) = 4*p**2 + 2*p - 6. What is the smallest common multiple of s(4) and 159/33 - (3 + (-35)/11)?
330
Suppose 2586 = 4*q + f, -4026 = -5*q + f - 780. What is the lowest common multiple of 16 and q?
1296
Let w = -121800/13 - -1255638/143. Let p = w - -130459/220. What is the common denominator of p and -89/12?
60
Let h = 249/280 + -18/35. Find the common denominator of -16 + 17 + (-14)/80 + 0/9 and h.
40
Suppose -307*m + 316*m = 15930 + 9126. Calculate the least common multiple of 192 and m.
5568
Find the common denominator of (-14569)/(-4080) + 12/(-15) and 63/64.
192
Let a = 899 - 893. Let g be (7/1)/(2/10). Find the common denominator of -119/12 and 29/a - (-21)/g.
60
Suppose 3*q = -24, -7*q = -g - 3*q + 4181. Calculate the least common multiple of 4149 and g.
4149
Let g = -97 - -91. Calculate the common denominator of ((-24)/10)/