and 4?
4
Suppose 0 = y + 21*p - 26*p, y + p - 36 = 0. What is the least common multiple of y and 78?
390
Let a(p) be the third derivative of 7*p**4/24 + 4*p**3/3 + p**2. Let f be a(5). Suppose 7 - f = -6*u. Calculate the least common multiple of u and 14.
42
Let l = 1153/3 + -1917/5. What is the common denominator of (2 - ((-15)/6 + 2))/((-3381)/(-98)) and l?
345
Suppose -16095 = -13*h - 16*h. Suppose 2*o = 4*j + 3*o - 449, 5*j - 5*o - h = 0. Calculate the smallest common multiple of j and 3.
336
Let r(l) = -l**3 - 13*l**2 - 3*l + 7. Calculate the smallest common multiple of 36 and r(-13).
828
Suppose 78*z = 171*z - 73*z - 54540. What is the least common multiple of 1212 and z?
10908
Suppose 2*x = 3*u - 2*x - 370, 4*u - 2*x - 490 = 0. Suppose -5*d - 8 = i - 14, 0 = -i + 5*d + 16. What is the smallest common multiple of u and i?
1342
Let i(m) = 8*m + 2. What is the least common multiple of i(5) and 8 - (-2613)/377 - -1*6/87?
210
Let b(n) = 3*n**2 - n. Let r be b(1). What is the common denominator of r/5 - 718/120 and (-1)/5*(-4450)/40?
12
Suppose 40*i - 4835 = 11525. Let b = -397 + i. Calculate the least common multiple of b and 31/4 + (-2)/(-8).
24
Let k(t) = -t**3 - 6*t**2 + 7*t - 1. Let d be 21*5/15*-1. Let w be k(d). What is the smallest common multiple of 5 and (w - 1) + (4 + -3 - -11)?
10
Let d = 31 + -27. Let a = -9 + d. Calculate the smallest common multiple of 5 and (-3 - 10/a)*-1.
5
Let z = 113/9 + -3317/252. Let a = 107/11 + -2381/264. What is the common denominator of z and a?
168
Let k = -36 + 48. Let d(r) = 3*r - 18. Let z be d(9). Suppose -z*i = -8*i - 8. What is the smallest common multiple of i and k?
24
Let d(h) = h + 9. Let s be d(-8). Let a = 3803 + -3799. Calculate the smallest common multiple of a and -5*s/(-5)*26.
52
Suppose -5*l + l = -4*a + 12, 3*a = -2*l + 9. Suppose -8*b + 0 + 0 = l. What is the common denominator of 275/(-99) - b/(-2 - -1) and -119/24?
72
Suppose -w + 1 = 0, 2*c - 2*w - 288 = -280. Calculate the smallest common multiple of c and 50.
50
Let g(n) = 12*n + 1056. What is the smallest common multiple of g(-18) and 840?
840
Let w(z) = z**3 + 52*z**2 - 7*z - 459. What is the least common multiple of 171 and w(-49)?
63783
Let g be ((-66)/(-121))/(9/(-16190)). Let a be (-34)/51 + 5890/6. Let j = g + a. Find the common denominator of 16/15 and j.
165
Let z = 1286 + -2509/2. Let b = 7/8 - -51/40. What is the common denominator of b and z?
20
Suppose 930 = 15*x + 750. Let v be 27/5 + 4/(-10). Suppose v*g - x = -t, 4*t - 2*t = 3*g + 63. Calculate the least common multiple of t and 9.
27
Suppose 9 = i + 5*g - 59, 160 = 3*i + 4*g. What is the least common multiple of i and 1656?
3312
Suppose -4*w = 5*c - 668, 114*c = 110*c + w + 568. What is the lowest common multiple of c and 108?
3780
Find the common denominator of 77/18 and (4/6 - (13060/(-1592))/(-5)) + 1.
3582
Let j be ((-14)/4)/((36/(-4))/450). What is the common denominator of -1/20 and (-160)/j*36/16?
140
Suppose 4*q + 4*h + h = -175, -2*q = 3*h + 87. Calculate the common denominator of (-4)/10 - (-37)/q and 4 + (-4)/(12/(-9)) + (-25300)/3025.
99
Let c(y) be the first derivative of -2*y**3/3 - 31*y**2/2 - 81*y + 281. Let g = 13 + -2. What is the lowest common multiple of g and c(-12)?
33
Let o be 9 - 0 - (15/5 + -2). Suppose 447 = o*l + 3551. Find the common denominator of 39/2 and (l/90)/((-8)/(-10)).
18
Let g = 194 - 167. Calculate the least common multiple of g and ((-3)/2)/((-17)/238).
189
Calculate the common denominator of 1 + 4661/666 + (-5514)/102009 and ((-14)/12)/((-5)/(-39)).
90
Suppose -39 = -3*y - 5*w, -39 = -2*y + 18*w - 17*w. Suppose 0 = y*u - u - 1683. Calculate the lowest common multiple of 81 and u.
891
Suppose -98 = -h - 5. Calculate the smallest common multiple of h and 2.
186
Suppose 5*u - o + 30 = 0, 40 = -u + 5*o + 10. Calculate the lowest common multiple of (-70)/4*8/(-10) and (u + 3)*(-1 + (-3 - 2)).
84
Let m(k) = 4*k + 625. What is the least common multiple of 8 and m(-156)?
8
Let g = 31 + -23. Let i be (g/12)/(4/426). Let p = 76 - i. Calculate the smallest common multiple of p and 15.
15
Let v = -17917650935007174485/847872161658 - -14360/3962019447. Let a = -21132512 - v. Let f = a + 4/107. Calculate the common denominator of f and 89/20.
60
Suppose 0 = 16*n - 61*n + 315. Calculate the lowest common multiple of 21 and n.
21
Let i = 509 - -613. What is the least common multiple of 18 and i?
3366
Let k(v) = v**3 - 7*v**2 - 9*v + 8. Let l be k(8). Suppose -6*a - 16 - 362 = l. What is the least common multiple of 4/18 + (-1 - 2128/a) and 9?
99
Let b be (-16)/24 - 5156/(-1854). Let a = 34/103 + b. Calculate the common denominator of a and -30/43.
387
Let v = 61/112 - 80975/148624. Let k = 179/1159916 - -35016466591/1539208532. Let r = k - v. Calculate the common denominator of -59/2 and r.
4
Let a = 16588 - 16264. What is the lowest common multiple of 460 and a?
37260
Let t = 42137501/270 - 156065. Find the common denominator of -113/90 and t.
270
Let s = 24155 + -24151. Calculate the least common multiple of s and (3 + 1)*(30 + -1).
116
Let p(r) = 7*r + 22. Let u be p(-16). Suppose 5*x - 7*x = 4*f - 66, x - 48 = -3*f. What is the smallest common multiple of f and (u/2)/(9/(-6))?
30
Let t be 176528/(-132378) + (-36)/(-27). Let b = -2493215/529512 - t. Let a = -2628 - -21055/8. Calculate the common denominator of a and b.
24
Let h(g) = -195*g + 231 + 400*g - 198*g. What is the smallest common multiple of 3 and h(-31)?
42
Let n(j) = j**2 + 17*j - 19. Let l be n(-18). Let x be 924498/(-518466) + l/2. Let p = 2/3757 + x. Find the common denominator of -29/6 and p.
138
Let u be (1850/3)/((-77)/(-264)). Let t = -1376785/651 + u. What is the common denominator of -13/3 and t?
93
Suppose t = -4*t + 15. Suppose 3*q + 198 = -n, -201 = t*q + 3*n - n. Let b = -59 - q. Calculate the lowest common multiple of b and 3.
6
Let n = -14599 - -686172/47. Find the common denominator of 64/45 and n.
2115
Let z = -95 + 116. Suppose -2*p + 3*k + 60 = 0, 44 = 2*p + 3*k - 2*k. What is the lowest common multiple of p and z?
168
Let r = 845 - 6671/8. Calculate the common denominator of r and -49/6.
24
Find the common denominator of 23 + -14 - ((-298)/(-28) - 1) and 4/(-6) + 1172/120.
70
Suppose 3*q = q + 12. Suppose q*s - 7*s = -6. Let l(f) = 3*f**2 - f - 1. Calculate the least common multiple of s and l(2).
18
Let y(r) = -r**3 + 37*r**2 + r - 43. Let v be y(37). What is the common denominator of ((-26)/(-25))/(2/20) and v/(-2) - (4 - 162/21)?
35
Let i be 3 + (-37)/(-10)*239675/(-80). Let y = -11083 - i. What is the common denominator of -3 - ((-14)/(-4))/(10/(-42)) and y?
160
Let i = -9/181 + 16525/1086. What is the common denominator of i and -28 + ((-4375)/(-200) - 6)?
24
Suppose -11*f + 3*f = -4000. Calculate the smallest common multiple of 18 and f.
4500
Let d be (1/(-2))/((-14)/112814). Let g = d - 4001. Let j = -11479/378 + g. Calculate the common denominator of -85/6 and j.
54
Let w = -60707/8 + 7578. Suppose 39*f = 37*f - 4650. What is the common denominator of w and 6 + f/228 + 3?
152
Let p = -631 + 634. Let q(y) = 20*y**2 - 29*y + 81. What is the lowest common multiple of 33 and q(p)?
1914
Suppose 52*g = 59*g - 5936. Suppose g*v + 44 = 852*v. Let s(x) = -x**2 - 7*x + 8. Calculate the lowest common multiple of s(-6) and v.
154
Suppose 2 = 3*y - 7. Find the common denominator of ((-2)/55)/(((-12)/280)/y) and ((-3)/(-69))/(12/558).
506
Let u = -72 - -141. Let p = u + -61. Calculate the lowest common multiple of (-15)/(-2) + (-1)/2 and p.
56
Let a(q) = -q**2 - 5*q - 17. Let p be a(-9). Let m = p - -105. What is the smallest common multiple of m and 4?
52
Let w be (-5 - -10)*(-1 - (-18)/10). Find the common denominator of (-113*2/w)/5 and -77/20.
20
Suppose 597*k - 1386 = 135*k. Let b(s) = -s**2 - 3*s - 4. Let n be b(-7). Let o = -20 - n. What is the lowest common multiple of o and k?
12
Suppose 2295 = -95*m + 100*m + 3*f, -459 = -m - 5*f. What is the lowest common multiple of m and 63?
3213
Let a = 353888147/2320 + -152538. Find the common denominator of -53/25 and a.
11600
Let r be 22/4 + 12/8 + -3. Suppose -r*i = -g - 2, i + 4*i = -4*g + 13. Calculate the least common multiple of 27 and 4 + (i - (-5 + 1)).
27
Let j(u) = u**3 + 11*u**2 + 23*u + 29. 