3*h(k) - 5*y(k). Calculate the least common multiple of s(-16) and 2.
30
Suppose 4*l = 203 + 25. Let z = l - 101. Let t = -17 - z. What is the smallest common multiple of 21 and t?
189
Let g be (-3)/5 + 364/140. Find the common denominator of (8*g/(-42))/(414/(-2093)) and -14/57.
513
Let r = 9 - 1. Let o = 10 - r. Calculate the lowest common multiple of ((-40)/(-15) + -3)/((-12)/1368) + -6 and o.
32
Find the common denominator of -101/1230 and (-2)/20*(-1775)/135.
11070
Let c = 25/152 - 2351/19608. Calculate the common denominator of -67/430 and c.
2580
Let f be (4 + -7)/((-4)/((-152)/(-6))). Suppose 31 = 5*h + 2*u, 4*h + u - f - 7 = 0. Let w = 9 + h. What is the smallest common multiple of w and 40?
80
Suppose 3*t = 15*t - 1332. Find the common denominator of (-6)/(-84)*-1*t and 13/2.
14
Suppose 0 = 4*n - 3*w + 309, n = -6*w + 4*w - 91. Let g = 110 + n. What is the smallest common multiple of g and 1?
29
Let z = -21029 - -21043. Find the common denominator of z and 0 + (220/(-3))/(-4).
3
Let q(i) be the third derivative of 17*i**5/60 - i**4/12 + 4*i**2. Let s be q(1). What is the smallest common multiple of 80/12*s/10 and 18?
90
What is the lowest common multiple of (92046/(-348))/((-5 - -7)*(-2)/8) and 1?
529
Let a = -85 + 90. Suppose -5*x - a*h - 146 = -3*h, 2*x + 5*h = -50. Calculate the common denominator of ((-402)/(-16))/((x/(-4))/(-5)) and 69/26.
52
Suppose 12*c - 651 = -81*c. What is the lowest common multiple of 1981 and c?
1981
Let c = 3292 - 3004. What is the smallest common multiple of 180 and c?
1440
Let s = 0 + -69. What is the common denominator of 23/4 and ((-9)/s + 0)*(-62)/4?
92
Let s = -38691/85904 - -45/1456. What is the common denominator of (3 - 162/60)*(6 + (-793)/18) and s?
708
Let c(d) = 21*d + 9. Let k be c(1). Let z = -6811 - -367807/54. Calculate the common denominator of k*6/20*(-3 - -5) and z.
54
Let s(f) = f**2 + 13*f + 49. Let d be s(-8). Calculate the lowest common multiple of (d/(-36))/(1/(-12)) and 69.
69
Let j be 10334/14 - (-5 + (-108)/(-21)). Find the common denominator of -1 - 372/j*25/(-10) and -99/8.
984
Let p be 27 + 6/(-3) + -1. Let a be 32/p*((-6)/(-4))/1. Suppose -5*j = -a*m + 38, -m + 0*j = -j - 19. Calculate the smallest common multiple of 1 and m.
19
Let y = -10938 - -11070. Suppose 198 = 2*m + 3*u, -3*m + 86 = -2*m - 5*u. What is the smallest common multiple of y and m?
1056
Let u = 135409/44880 + -512/187. Let o = 10/14097 + -136351/112776. What is the common denominator of o and u?
240
Let j be 7/14 + 2249/48. Let l = -75689/1587 + 14/529. Let k = j + l. Find the common denominator of 107/20 and k.
80
Let h = -9528 + 9530. Calculate the lowest common multiple of h and 26.
26
What is the common denominator of 1886/9120 - (-6 + (-552)/(-90)) and -157/120?
4560
Calculate the common denominator of 64/24*(-25)/20*(-34)/(-696) and 95/406.
3654
Let m(o) = 5*o**3 - 3 + 10 + 9*o - 7*o**3 + 8*o**2 + o**3. What is the least common multiple of m(9) and 4?
28
Let k be 50/75*210/4. Suppose -b - 2*b = -2*m - k, m = 5. Calculate the smallest common multiple of b and 42.
210
Suppose 0 = 7*u - 4*u + 2*u - 4900. What is the lowest common multiple of u and 98?
980
Suppose v + 2*v = 4*g + 11, 4*v - 56 = -5*g. Suppose -h = -2*t, -5*h - 2*t = v - 57. Calculate the smallest common multiple of h and (-2 + 1)/(4/(-36) + 0).
72
Let n(l) = -2*l - 32. Let m be n(-22). Let d be (-8*3)/(18/m). What is the common denominator of -37/9 and (2 - (-24)/(-9))*d?
9
Let q = 1791/32 + -215527/3872. Calculate the common denominator of q and (24/462)/(((-3)/(-14))/((-1768)/(-416))).
363
Let x = 180016 + -46984106/261. What is the common denominator of x and 54/145?
1305
Let c = -1230953/30 + 41037. Calculate the common denominator of (3/27)/(565/(-465)) and c.
3390
Let f(t) = 3*t**2 - 159*t + 378. What is the smallest common multiple of f(51) and 1080?
1080
Suppose 7*w = 10*w + 18. Calculate the common denominator of (-2)/(-6)*13/11 and (-117)/w*99/81.
66
Let r = 18845/18 + -1043. Let u be 0 - (-2)/1 - -5. Find the common denominator of r and (((-35)/(-40))/u)/((-6)/(-164)).
36
Suppose 5*w - 5 - 30 = -2*f, 5*w + 3*f = 40. Suppose -w*t = u - 22, 0*t + 20 = u + 4*t. Let b(a) = -a + 24. What is the smallest common multiple of 22 and b(u)?
132
Suppose 12747 + 205013 = 16*g. Let r = 598911/44 - g. What is the common denominator of r and -11/36?
396
Let x(k) = 3 + k**2 + k + 12*k**2 - k**3 - 8*k**2. Let l be x(5). Suppose l = -2*w, -w - 13 = 5*r - 34. What is the least common multiple of r and 5?
5
Let z be 1039801/(-574)*(1 - (-3 + 2)). Let p = -1398775 + 12556415/9. Let v = p - z. What is the common denominator of -46/13 and v?
117
Suppose 1162 = 25*j - 6938. Calculate the smallest common multiple of 3 and j.
324
Suppose 0 = -3*u - 40*s + 36*s + 178, -129 = -u + 5*s. Suppose 4 = 2*y - 0. Calculate the least common multiple of y and u.
74
Let p = -740 + 746. Find the common denominator of 53/22 and (-8869)/(-126)*10/98 - p.
1386
Let q = 9252658/7 - 101788509985/77007. Let m = q - -19/386. What is the common denominator of -44/15 and m?
570
Let s = -14722 - -677179/46. What is the common denominator of s and 13/110?
2530
Suppose -35383 = -5*y + l, -2*y - 2*l + 28312 = 2*y. Suppose 7*i = 4*i + y. Let b = 18849/8 - i. Find the common denominator of 137/48 and b.
48
Let n(z) = z**3 + 44*z**2 + 207*z - 6. Calculate the lowest common multiple of 1100 and n(-38).
19800
Let q(h) = 14*h**2 + 211*h + 848. Let t(m) = m**3 + 8*m**2 + 5*m + 10. What is the lowest common multiple of q(-8) and t(-7)?
168
Let i(y) = 3*y**2 + 14*y - 90. What is the smallest common multiple of 655 and i(5)?
7205
Let u be -9*6/(-36)*-342. Let v = 576 + u. What is the smallest common multiple of 14 and v?
126
Suppose 0 = -w + 3*g + 8, 5*g + 0 = 4*w - 4. What is the common denominator of 2*425/(-30) - w and 3/(-12) + 161/(-12)?
3
Let w = 2071193/308106 + -2/17117. Let y be (-2)/(-5) + 3591/(-5). Let z = 57089/80 + y. Calculate the common denominator of z and w.
144
Suppose -37536 = -116*z - 24372 + 59916. Calculate the least common multiple of z and 420.
1260
Suppose -3 = -4*d + 1. What is the common denominator of (-1)/(d - 88/58) and -1 + (-15)/(-14) + (-36608)/462 + 77?
30
Let q(n) = n. Let c(f) = -f + 1. Let z(u) = -4*c(u) - 2*q(u). What is the smallest common multiple of z(5) and 26908/280 + (-2)/12 + (-1)/(-15)?
96
Let c = 18/91589 + -3976937/196458405. Calculate the common denominator of c and 37/130.
4290
Let p = -4/5107 - 413627/51070. What is the common denominator of p and (-10)/(-30)*-15 - 0?
10
Calculate the common denominator of (-14)/49 + 704/210 and 4890/500*(-10)/(-108).
180
Let r = -697135/305226 + 1366/547. Find the common denominator of -71/2 and r.
558
Let u = 1880 + -2991. Calculate the common denominator of (-19 - -3)/(-4) - u/132 and 27/56.
168
Let w be (-978)/(-10) - 1/(-5). Suppose -w = -2*a - 18. Suppose -5*g = 5, 3*k - 5*g - a = 2*k. Calculate the smallest common multiple of k and 8.
280
Suppose -40*d = 54*d - 74166. What is the smallest common multiple of d and 6?
1578
Find the common denominator of (6/27 - (-2744)/(-6705)) + (-76)/(-570) and 9.
149
What is the lowest common multiple of 252 and (8 + -1453)/(-17) - 13?
504
Calculate the common denominator of 28/11 and ((20/44)/(-1))/((-77)/(-99)).
77
What is the least common multiple of 2931 and 36 - 7*126/49?
17586
Let g = 22640 - 21804. What is the least common multiple of g and 532?
5852
Let q = -12311 + 14348. Calculate the lowest common multiple of q and 15.
10185
Let u be ((-97583)/15)/((-9)/39). Let i = -28189 + u. What is the common denominator of i and -23/63?
315
Let m(n) = n**2 + 3*n - 7. Let u(a) = a**3 + 27. Calculate the lowest common multiple of m(4) and u(0).
189
Suppose 27 + 3 = 2*g. Suppose 0*p = -5*p + g. Suppose -7*q + 5*v = -3*q - 22, 5*v = 2*q - 16. What is the least common multiple of q and p?
3
Let i(y) = y**3 - y**2 + 7*y - 9. Let o be i(4). Suppose -2*k - 19 = -o. Suppose -2*a = 4*a - k. Calculate the least common multiple of 12 and a.
12
Suppose 4*q = 3*l - 248, -q + 2*l - 310 = 4*q. What is the smallest common multiple of 40 and (q - -55) + (14 - -1)?
40
Suppose 4*h + 6832529 = 3*h + 3*o, 5*h + 34162681 = 3*o. Let x be 85/h*910421/5. Let d = x + 6/11821. Find the co