110
Let a(p) = p**2 - 46*p + 431. Suppose 0 + 1 = z. Calculate the lowest common multiple of a(33) and z.
2
Let w = 35 + -17. Let k = 106 - 102. Calculate the least common multiple of k and w.
36
Suppose b - 7865 = 4*o, -1 + 3 = 2*o. Let x be -10 - -14 - (-47359)/(-6). Let q = x + b. Calculate the common denominator of 51/10 and q.
30
Let x(u) = u**3 - 7*u**2 - 9*u - 3. Let w be x(8). Let o(c) = -2*c - 21. Let j be o(w). What is the common denominator of -53/78 and j/3 - (-302)/48?
312
Suppose 0 = -12*g + 9*g - 3. Find the common denominator of 83/4 and g/(2/3) + (-60)/26.
52
Find the common denominator of -41 and ((-9)/((-126)/(-44)))/((-380)/21).
190
Let p = -2 + 4. Suppose 4*b + 0*b + q = 218, p*b - 118 = -5*q. Let g = b - 32. What is the lowest common multiple of 28 and g?
308
Let s = 55 + -33. Let m(b) = -b**3 + 3*b**2 + 4*b + 10. Let o be m(5). Let d = o + 24. Calculate the smallest common multiple of d and s.
44
Let x(w) = -w**3 - 7*w**2 + 17*w - 7. What is the lowest common multiple of x(-9) and 62?
62
Suppose 5 = 7*p - 289. What is the common denominator of 13/6 and 81/(-7)*p/132?
66
Let s be (-3 - (23 + -4))/1. Let z = s + 16. Calculate the common denominator of 55/16 and z/9*11/(-12).
144
Let p be 1317 + 8/(-32)*4. Let d = 136263/2 + -69400. Let i = d + p. Calculate the common denominator of i and -31/6.
6
Let c(g) = 5*g - 162. Calculate the smallest common multiple of c(45) and 135.
945
Let v(i) = -17*i + 9. Let x be v(1). Find the common denominator of 34/11 and (210/(-75))/(x/(-50)).
22
Calculate the lowest common multiple of (9/(-12))/((-15)/1340) and 2.
134
Let c be 7/(-28) + 154058/24. Let x = 6395 - c. Calculate the common denominator of x and (20/14)/(36/147).
6
Let i(l) = -l**3 + 21*l**2 - 46*l - 30. Calculate the least common multiple of 2 and i(18).
114
Let f(x) = -4*x - 3. Let a be f(-6). Let y = 29 - a. What is the lowest common multiple of 11*((-1)/1 - -3) and y?
88
Suppose 2*p + 114 = 5*p. Let b(z) = 157*z**3 + z**2 + 4*z - 3. Let l be b(2). What is the common denominator of p and (2/(-5))/((-352)/l)?
16
Let y be ((-3)/(-6))/(((-44698)/(-4))/(-1)). Let u = y + 1765592/469329. What is the common denominator of u and 67/21?
21
Suppose 0*c = -26*c + 52. Calculate the lowest common multiple of c and 197.
394
Let g = -1356559/1192720 + -2/14909. What is the common denominator of g and -3/20?
80
Suppose -2*f - 3*f = -2*o - 169, -f + 23 = -4*o. Calculate the lowest common multiple of 5 and 4 + f - 1*4.
35
Let i = 13 - 10. Suppose -i*m - 3*y + 363 = -6*y, 5*m = -y + 623. Calculate the common denominator of (m/8)/(7/(-2)) and 59/9.
63
Let a(z) = 6*z**2 - 2*z. Suppose -n = 4*p - 17, 5*p = 4*n - 0*n + 16. Let d be 5/(15/9) - n. Calculate the least common multiple of a(d) and 2.
20
Let s = 21733 - 4390085/202. Calculate the common denominator of s and -71/4.
404
Suppose -4*y + 23*y - 266 = 0. Let o(z) = 2*z + 16. Let n(c) = -c - 8. Let v(u) = 11*n(u) + 6*o(u). What is the least common multiple of v(6) and y?
14
Suppose 2*m + 4*p = 3885 + 3727, p - 3 = 0. Let w = 2631 - m. Let j = 2431/2 + w. What is the common denominator of j and -5/6?
6
Find the common denominator of -131/48 and ((-230)/(-14))/((-888)/(-259)).
48
Let l = 1092 + -702. Calculate the least common multiple of 30 and l.
390
Let h = 7/74 + -1013/148. What is the common denominator of h and (-28)/(-132) + 2/(-3)?
44
Find the common denominator of 33/2 and ((-873)/236)/3*(-126)/(-567).
354
What is the common denominator of 47/230 and (-9 - -48)*4/(-8)?
230
Suppose -17 - 16 = -3*a. Let p(b) = b**2 - 12*b + 21. What is the smallest common multiple of 7 and p(a)?
70
What is the least common multiple of 2 - (30/(0 + -6) - -2) and 55?
55
Suppose 18 + 4 = -2*f - 2*w, f - w = -13. Let z = 0 - -4. Calculate the smallest common multiple of z and (-2)/f + (-118)/(-12).
20
Let b(q) = 3*q**2 + 4*q + 2. Let c be b(-2). Let y = 129 + -130. What is the common denominator of (c/(-8))/(6/(-82)) and y?
4
Let l(d) = -d + 7*d**2 + 3 + 7*d - 2*d + 0*d. Suppose 0 = g - 2*g - 2. Find the common denominator of l(g) and 23/10.
10
Let t be 1/1*(-2 - -2). Suppose 2*m - 13 = -5*b + 23, 3*b - 2*m - 12 = t. What is the lowest common multiple of b and (-4 + 0 + -2)*(-2)/3?
12
Let z(f) = f**2 + 6*f + 2. Let g be z(-6). Suppose -4*o + 42 = g. What is the smallest common multiple of o and 8?
40
Let m(b) = -18*b + 456. Suppose -3*i + i + 3 = 3*f, 4*f + 56 = 4*i. Calculate the smallest common multiple of i and m(25).
18
Let y(v) = v**3 - 3*v**2 - 13*v - 6. Suppose 4*z - 30 = -z. Calculate the least common multiple of y(z) and 4.
24
Suppose 0 = 11*p - 182 - 247. Calculate the smallest common multiple of 65 and p.
195
Let d be 8/12 + ((-782)/(-6) - -3). Let p = d + -113. Calculate the least common multiple of p and 18.
126
Let p = -2175/2 - -1116. Calculate the common denominator of p and ((-990)/(-75))/((-28)/(-5)).
14
Let r = -25539/10 + 2556. Find the common denominator of r and 1/50.
50
Suppose -7*h + 10*h - 36 = 0. Calculate the common denominator of 37/4 and (8/36)/(0 - h/225).
12
Let d = -4217 - -46424/11. What is the common denominator of d and 30/(-9)*(-27)/(-2)?
11
Let u = 3 - -64. What is the common denominator of (11 - (-25)/(-35)) + -4 and (u/(-5))/(16/(-10))?
56
Let k = 458895/46 - 9975. Let s = 952 - 4804/5. Find the common denominator of k and s.
230
Let p be 2/(-4)*4*1. Let x = -461 + 1785/4. Calculate the common denominator of x and (1 + p)/(40/22).
20
Suppose 9*y - 7*y - 70 = 2*q, 2*y + 2*q - 50 = 0. What is the least common multiple of 120 and y?
120
Let v be ((-10435562)/316)/(5676/(-9)). Let c = v - -3/27176. Let d = -6769/132 + c. Find the common denominator of d and 33/2.
12
Let q be 4/(-16) - (-26)/8. What is the common denominator of -4 - 130/(-25) - q and 73/8?
40
Suppose -27 - 3 = -5*x. Suppose -3*b + 2*b = 5, 3*b = -3*j - 3. Suppose k = 4*k + 4*s - 48, -j*k + 64 = -s. What is the lowest common multiple of x and k?
48
Let v = 5845/912 - 119/19. What is the common denominator of -11/24 and v?
48
Suppose -2*o + 0 = -12. Suppose 14*k + 15*k - 162 = 20*k. Calculate the smallest common multiple of k and o.
18
Let x(v) = 39*v**2 + 535*v - 10. Calculate the least common multiple of 18 and x(-14).
144
Suppose 477 = 2*j + 51*j. What is the smallest common multiple of 23 and j?
207
Suppose -4*l = 3*t + t + 20, 5*l + 4*t = -21. Calculate the smallest common multiple of l/(-3) - (3 + 212/(-12)) and 42.
210
Let l be 7/(-210)*-4*146915/4. Let j = -4886 + l. Find the common denominator of j and 56/5.
30
Let c = 193703 + -148182754/765. Find the common denominator of c and 127/12.
3060
Suppose -2*o = 4*i - 24414, 0*i + 30519 = 5*i + 2*o. Let w = i - 61001/10. Calculate the common denominator of w and 34.
10
Let n = -37 - 28. Calculate the common denominator of 61/15 and 8/110*n/39.
165
Suppose 3*x = -5*m + x + 58, -4*m + 36 = -x. Calculate the least common multiple of m and 170.
170
Find the common denominator of 49/4 and (-22)/8 - -3 - 385/392.
56
Let s = 0 + 3. Let h = -6 + 9. Suppose h + s = 2*v. Calculate the lowest common multiple of v and 7.
21
Suppose 462 = 176*b - 165*b. Calculate the smallest common multiple of b and 14.
42
Let w = -547507/1349800 - -12/9925. Calculate the common denominator of -49/2 and w.
136
Let o = -50 + 52. What is the least common multiple of (-66)/(-30) - o/10 and 4?
4
Suppose 2*n + 41 - 61 = 0. What is the lowest common multiple of n and 214?
1070
Let p be (-933409)/15 + 2/(-5). Let i = -62955 - p. Let j = i - -13057/18. What is the common denominator of j and -81/14?
126
Let k = -529/90 - -85/9. What is the common denominator of -127/120 and k?
120
Let w(p) = -2*p - 11 - 2 + 3*p**3 - 2*p**3 + 0*p**3 + 12*p**2. What is the smallest common multiple of w(-12) and 4?
44
Let h(f) = 18*f + 6. Let c be h(-4). Let y = c - -82. What is the lowest common multiple of 2 and y?
16
Let l = 167/11 + -1907/132. What is the common denominator of -39/121 and l?
1452
Calculate the lowest common multiple of 1426/230 + ((-6)/(-10))/(-3) and 86.
258
Calculate the common denominator of 37/207 and (7/672)/(12/80).
1656
Let m = 142906632 + -4715405195/33. Let t = m + -15567. Calculate the common denominator of t and -151/6.
66
Suppose -2*l + 190 = 5*h, -5*h + 112 = -4*l - 78. Wha