y) = y**2 + y - 3. Suppose -22 = -l - 5*o, -5*o - 6 = -4*l - 43. Calculate the least common multiple of h(l) and 1.
3
Let x(z) = -3*z - 23. Let r be x(-10). Suppose 2*u - r = d, -u + 2*d = 4*u - 19. Let t = 2 + 0. What is the lowest common multiple of t and u?
10
Suppose 51*i - 46*i = 25. Let j(u) = u**2 + u + 12. What is the smallest common multiple of 21 and j(i)?
42
Let z = 25082/15 + -1670. Calculate the common denominator of z and 17/177.
885
Let l = 24 - 12. Let g be (0/(-1))/(-2 - -3). Suppose -2*p + 6*p - 32 = g. What is the lowest common multiple of l and p?
24
Let b(f) be the first derivative of -f**4/4 - 4*f**3/3 + f**2/2 + 2*f + 12. Calculate the lowest common multiple of 48 and b(-5).
528
Let a(w) = w**2 - 11*w - 12. Suppose 0 = 4*q + q - 55. Let d be a(q). What is the smallest common multiple of 5 and (d/5)/(8/(-20))?
30
Find the common denominator of 41/66 and (-5 - 255/6)/42.
924
Suppose 4*l - 46 = -4*a + 3*l, 2 = -l. What is the lowest common multiple of 80/(-30)*33/(-4) and a?
132
Suppose 2*d - 1 - 7 = -2*w, -3*d = 4*w - 18. Suppose 3*o - 91 = -37. Calculate the smallest common multiple of w and o.
18
Let k(p) = -4*p - 1. Let v be k(-1). Suppose -v*q - 36 = -9*q. Calculate the smallest common multiple of q and 18.
18
Suppose 0 = 2*o + i - 41, -2*o - 3*i + 33 = -o. Let m = -12 - -18. What is the smallest common multiple of o and m?
18
Suppose -3*b + 25 = 16. Find the common denominator of 81/10 and b/1 - 85/12.
60
Let n = 230/11 + -9431/440. Calculate the common denominator of -143/24 and n.
120
Suppose 3*g - 38 = -4*f + 33, -4*g + 38 = 2*f. What is the lowest common multiple of f and 7?
119
Let m = 99 - 91. Suppose m*v + 159 = 639. What is the smallest common multiple of v and 22?
660
Let y = -53 - -76. Let t = y - 27. Calculate the lowest common multiple of (40/16)/((-2)/t) and 12.
60
Let z = 390 - 355. What is the least common multiple of 10 and z?
70
Let d = 237/4 - 1191/20. What is the common denominator of d and -87/2?
10
Let g be ((1 + -1)/(-1))/(-1). Suppose -6*t - 9 = -3*t - 5*j, 3*j + 9 = g. Find the common denominator of -2 + -1 + (-44)/t and 52/9.
18
Let o = -3/13171 - -882511/237078. Find the common denominator of 142/(-48) - (-1)/(-4) and o.
72
What is the common denominator of 1/93 and (-133)/5301 - 3/(-27)?
93
Suppose -z = -13*o + 18*o - 44, 2*o = 0. What is the smallest common multiple of z and 20?
220
Let s be (-1 + (-1)/2)/(6/(-16)). Suppose s*b - 4*t = 32, 0 = -6*b + b - 5*t. What is the smallest common multiple of b and 4?
4
Suppose -9*d - 84 = -13*d. Suppose 0 = -27*j + 24*j + 15. What is the smallest common multiple of j and d?
105
Let h = -29 + 40. Let n be ((-24)/(-7))/(-1*6/924). Calculate the least common multiple of (1 + (-2)/4)/((-24)/n) and h.
11
Suppose -14 = 11*l - 13*l. Let i(o) be the first derivative of o**4/4 + o**3/3 + 3*o - 2. Calculate the lowest common multiple of l and i(0).
21
Suppose 0 = 11*u - 445 - 644. What is the lowest common multiple of u and 63?
693
Let a(h) = 222*h**3 - 2*h**2 + h + 1. Let j be a(2). What is the common denominator of -31/2 and j/184 - (-2)/(-8)?
8
Suppose -33 = 4*a - 93. What is the smallest common multiple of a and 30?
30
Let x(c) = c**3 - c**2 + 4. Let d(h) be the first derivative of h**4/4 + 8*h**3/3 - 9*h**2/2 + 3*h + 6. What is the smallest common multiple of x(2) and d(-9)?
24
Calculate the common denominator of 5/(-20)*530/(-260) and 43/52.
104
Let p be 2/(-11) - (2 - 194049/(-132)). Let l = -1464 - p. What is the common denominator of 83/2 and l?
4
Let p(z) = z**3 + 4*z**2 - 13*z + 10. Let f be p(-6). Suppose 18*o - f*o - 368 = 0. What is the smallest common multiple of 1 and o?
184
Let z(b) = 2*b**3 + 24*b**2 - 29*b - 27. Calculate the least common multiple of 16 and z(-13).
48
Let f = -67 + 53. Find the common denominator of -7/12 and 4/f + 239/(-21).
12
Suppose 2*s + 2*s = -33308. Let p be s*((-220)/72 - -3). Let z = p - 459. Calculate the common denominator of 17/14 and z.
126
Let i = -14 + 19. Let k(l) = -l**3 - 9*l**2 - 7*l + 10. Calculate the lowest common multiple of ((-2)/(-4))/(i/90) and k(-8).
18
What is the common denominator of 364/35 + (-1 - 1) and (-5)/(-12)*(33 - 0)?
20
Calculate the common denominator of 369/60 + -9 + 4 and 127/6.
60
What is the common denominator of -89/30 and (-68)/153*((-98)/(-20) + -1)?
30
Let f be 50382/560 + 5 + (-108)/21. Let x = f - 431/5. Calculate the common denominator of (-46 + (0 - 0))/11 and x.
88
What is the common denominator of 57/128 and (-51)/68 + 27/16?
128
Let l = -6329 - -12611/2. Let n = -3 - -4. What is the common denominator of l and n*(-1)/(-12)*-10?
6
Suppose 2*j - 4*q - 232 = 0, 0 = j - 6*j - 5*q + 520. Let g(d) = 6*d - 24. Calculate the lowest common multiple of g(6) and j.
108
Let k be 3 - 34/((-6)/3). Let w(v) = k + v**2 - 5*v - 9 - 8. What is the least common multiple of 5 and w(5)?
15
Let z = -47466/11 - -4273777/990. Find the common denominator of z and 1/30.
90
Let j be ((-9)/6)/((-8436587)/(-4)). Let u = 30835723637/2598468796 - j. Let p = u - 9/77. Find the common denominator of 6/5 and p.
20
Suppose -5*z + 1420 = 5*h, 3*z = 3*h - 49 - 779. What is the lowest common multiple of h and 56?
280
Suppose -3*k - 1 = 4*r, 5*r = -k + r - 3. Calculate the least common multiple of k and 5.
5
Let m(w) = -2*w**2 + 89*w - 118. Calculate the lowest common multiple of m(43) and 54.
594
Let k be (-3)/(-3)*1*(6 + 0). Find the common denominator of (73/(-18))/((-9)/k + 2) and -17/13.
117
Let o(b) = -b - 12. Let t be o(-6). Let w = -3 - t. Calculate the lowest common multiple of w and (6/(-10))/((-10)/150).
9
Let x be 2/(-2) + 1310/1550. Let i = 867/3410 - x. Find the common denominator of i and 29/16.
176
Find the common denominator of -125/18 and -8 + (-2680)/(-165) - 7.
198
Let s(f) = f**2 - 25*f - 110. Calculate the smallest common multiple of s(-4) and 1.
6
Let t(c) = 4*c**2 + 19*c + 6. What is the lowest common multiple of 104 and t(-5)?
1144
What is the common denominator of (3/12)/(32/1328) and ((-13)/4)/(-1 - -2)?
8
What is the common denominator of -137/60 and 73/(-584) + (-82)/8?
120
Let j(m) = 50*m**2 - 12*m - 2. Calculate the lowest common multiple of 196 and j(-1).
2940
Let v(p) = -4*p. Suppose 12 = -q - 5*y + 33, 0 = 4*y + 8. Let a = -25 + q. Calculate the lowest common multiple of a and v(-5).
60
Let s(n) = -185*n**2 + 6*n - 7. Let b be s(2). What is the common denominator of -4 - (b/8)/7 and -87/8?
8
Let q(w) = w**3 + 9*w**2 + 9*w + 13. Let b be q(-8). Suppose 24 = b*c + 4*y - 3*y, -5*c = -5*y. What is the least common multiple of 14 and c?
28
Suppose 0 = h + 2*g - 8, 5*h + 5*g - 15 = 30. What is the lowest common multiple of 1 and h?
10
Let a(b) = 38*b + 12. Let w be a(3). Suppose -10*f - w = -17*f. Calculate the lowest common multiple of 10 and f.
90
Let m(l) = -l**2 + 6. Let j(f) = f. Let b be j(0). Let q be m(b). Let d = 2 + q. Calculate the least common multiple of d and 20.
40
What is the least common multiple of 24 and ((-2*3)/1)/(24/(-432))?
216
Let n = 6899 - 124133/18. Find the common denominator of 136/117 - ((-9)/(-81))/1 and n.
234
Find the common denominator of -99/208 and (9 - 2)*1 - (-817)/38.
208
Find the common denominator of 4/27 and 220/495 + (-339)/189.
189
Let i be 4/(4/1)*-2. Calculate the smallest common multiple of 27/i*(364/(-21))/13 and 12.
36
Let b = 13 + -6. Let q = 779 + -772. Calculate the least common multiple of b and q.
7
Suppose 5*p = 4*m + 1456, 3*p = -0*p. Calculate the common denominator of (-1 - m/(-40))*-1 and -87/26.
130
Let x = -6204159/140 + 44316. Find the common denominator of x and 113/126.
1260
Let n = 58779/2 - 28713. Let a = 723 - n. Let h = 205/198 - -10/99. What is the common denominator of a and h?
22
Find the common denominator of -7/3 and 1501/(-3165) + (-144)/(-360).
633
Suppose 0 - 6 = -2*v. Suppose y + 3*d = 6, -42 = -v*y + 5*d - 6*d. Calculate the lowest common multiple of 30 and y.
30
Let u = -3/1891 + -15119/5673. Let m be 3/6 + (-5)/(-2). Find the common denominator of u and m/6*103/(-3).
6
Let h(u) = 4*u**2 - 7*u + 3. Let o be h(7). What is the common denominator of (-48)/648*o/(-16) and 1/21?
252
Let w(n) = 10 + 0*n - n + 4*n - 5*n. Suppose 4*x - 67 - 88 = -y, 4*x = -5*y + 135. Calculate the lowest common multiple of 