7/4. Let b = -36 + c. Calculate the common denominator of -1 - -2*1179/108 and b.
12
Suppose 0 = -5*p + q + 83, -44*q + 292 = 19*p - 40*q. What is the lowest common multiple of p and 3912?
7824
Let c = -56 - -54. Let k be (c + 1)/(37/28). Let a = 871/222 + k. What is the common denominator of 50/3 and a?
6
Suppose -65202 = 10*v + 74848. Let p = -195963/14 - v. Calculate the common denominator of 5/4*(-22)/(-13) and p.
182
Suppose y - 2*y + 4*w = -14, 47 = 5*y + 3*w. Suppose -6*j + 4*j = 28. Let i = 48 - j. What is the smallest common multiple of y and i?
310
Let x = -375 + 155. Calculate the common denominator of 4/(-31 - 5) - 586/72 and 802/x + (-10)/25.
44
Let v(d) = -d**3 - 17*d**2 - 18*d - 1. Let u be v(-16). Suppose -7*j = u + 95. Calculate the common denominator of j and 149/6.
6
Let p(x) = -x**3 + 5*x**2 - 8*x + 6. Let w be p(4). Find the common denominator of -121/36 and -4 - 2180/(-504) - w/35.
36
Suppose 0 = 4*x - 12, -21*t + 5*x = -19*t + 7. Suppose -5*s + 5*u - 2*u = -171, -159 = -t*s - 5*u. Calculate the least common multiple of s and 126.
252
Suppose 19*y + 111 = -2*y + 237. Calculate the smallest common multiple of 117 and y.
234
Let a be (-2)/4 - (-63)/18. Suppose -2*m + 20 = a*m. What is the least common multiple of (4/13)/(-2) - (-536)/104 and m?
20
Let z = -540213 - -328449593/608. What is the common denominator of z and 113/960?
18240
Let n = -3816065/909756 + 4/25271. Let a = 1372787/96 - 14300. Calculate the common denominator of a and n.
288
Let a = 692/39 + -28742/1677. Let h = 44382/55 + -3664997/4730. Let d = a - h. Calculate the common denominator of -79/16 and d.
16
Let b(y) = 21*y + 9. Calculate the least common multiple of b(0) and (-13)/(-6) - 2 - (-3759)/126.
90
Suppose -433416 = -428*o + 42*o - 153180. Calculate the lowest common multiple of o and 2541.
5082
Let k(z) = -2*z**2 - 32*z - 14. Suppose 66 = -4*w + 8*n - 6*n, 0 = -5*n + 25. Calculate the least common multiple of 18 and k(w).
126
Let y = 1593 - 1091. What is the least common multiple of y and 20?
5020
What is the common denominator of (-2697)/(-630) + (-2)/(-7) and 1/3*(27 - -26)?
30
Let b = -16293/64108 + -36/7285. Calculate the common denominator of b and 69/20.
220
Let v = -3/7165 + -250307/1117740. Find the common denominator of v and -119/468.
468
What is the common denominator of (3 + 270/(-22))*(-7)/14 and -113/374?
374
Let f be (-9)/((-461214)/98156) + -1. Let s = -10/949 - f. Calculate the common denominator of 57*1*98/3087 and s.
189
Let l = 109260341270 - 12512057241222409/114516. Let y = -10/3181 - l. Calculate the common denominator of y and -47/6.
36
Suppose 11*p - 21*p = 20. Find the common denominator of 31/62*-5*p/12 and -89/14.
84
What is the least common multiple of 144 and -3 - ((-5)/(-1) - 8 - 2) - -382?
1152
Let r = -18275206/295 + 61950. Calculate the common denominator of -61/3835 and r.
3835
What is the common denominator of ((-40)/(-12) - 6) + 1475/120 and 101/1824?
1824
Suppose 5*r = 10, -2*r + 66 = 2*f - r. Suppose 19*h = -2*h + 42. What is the lowest common multiple of f and h + 8/3*(-102)/(-136)?
32
Let t be (12/(-42))/((-4)/574). Suppose -7*w + 83 = t. Calculate the lowest common multiple of 46 and w.
138
Let w(a) = 2*a + 51. Let j be w(-11). Suppose -j*l = -26*l - 12. What is the least common multiple of l and 38?
76
Suppose -3*t = -4*w + 99, -18*t + 15*t - 51 = -2*w. What is the lowest common multiple of w and 1760?
5280
Find the common denominator of (3/(-10) + 2312/(-935))/15 and 73/1815.
3630
What is the common denominator of (32/12 - 4)/(700/114) and -14/1125?
7875
Let i = 8 + 72. What is the lowest common multiple of i and (-11)/88*-688 + -21?
1040
Suppose 553 = -17*k - 3*k + 3353. Calculate the least common multiple of k and 14.
140
Let q = -10167 - -272. Let g = -356311/36 - q. What is the common denominator of g and 39/8?
72
Let r be 3/9 + (-18464)/24. Let o be (-7 - -1)/(-30) + r/(-5). Suppose 0 = q - 12*q + o. Calculate the lowest common multiple of 9 and q.
126
Suppose 2*w = 2*w + 5*w. Suppose w*q = -3*q + 21. Calculate the lowest common multiple of q and 19.
133
Let u = -144300492989276794484159/2585520 - -55811014027851209. Let y = 14884/32319 + u. Let x = y + -5052. Calculate the common denominator of x and -25/22.
880
Let g = -4221/4 - -7361/7. What is the common denominator of g and ((-145)/10)/((-391)/(-51))?
644
Suppose -11*a + 1000 = -485. Calculate the common denominator of 28/9 and -5 + (a/20 - 2).
36
Let l = 2328567/92 + -25310. Calculate the common denominator of l and -21/64.
1472
Let z = 452 - 952. Let v = 1983/4 + z. Let m = 319955/18 + -17770. Find the common denominator of v and m.
36
Let p(q) = 96*q + 6127. Calculate the least common multiple of p(-5) and 6.
33882
Let h = 21278242/209 + -101810. Find the common denominator of -25/154 and h.
2926
Let n = -13 + 11. Let s be n + 3/2*2. Suppose -13 + s = -3*m. Calculate the least common multiple of m and 1.
4
Find the common denominator of -17/220 and (-16 + 2)/(-2) - 1755/144.
880
Suppose -y + 4*b = 7, 5*b = 2*y - 9 + 17. Let o = -2575/302 + 4/151. Calculate the common denominator of o and y + 8/(64/71).
8
Suppose 6 = 2*t + 4*k - 3*k, 5*t - 3*k = 26. What is the common denominator of 1781/117*(-3)/(-2) and (t/14)/(120/1414)?
30
Let z(c) = c**3 - 16*c**2 + 3*c - 32. Let w(j) = -j**3 - 6*j**2 - 6*j + 5. Let f = 4 + -9. What is the least common multiple of z(16) and w(f)?
80
What is the common denominator of ((-12)/96)/(-3*(-30)/(-729)) and -21/100?
400
Calculate the common denominator of 41/42 and (-3177)/101304 + 13/312.
2814
Let p = -45 + 49. Let v be p + (-1 - 1) + 1 + -1. Suppose 0 = -5*c, -k + 8 + v = 4*c. Calculate the lowest common multiple of 31 and k.
310
Suppose 0 = j + 2*t - 16, 0 = -2*j - 2*t + 4*t + 56. What is the least common multiple of (-10)/(-15)*69 - 4*1/(-2) and j?
48
Suppose 0 = 4*a - 9*a + 495. Calculate the lowest common multiple of (-12)/5*(-118 + 47824/448) and a.
297
What is the common denominator of (-5996)/(-16800) + (153/(-21))/17 and 41/700?
4200
Suppose 1022 - 1409 = -9*i. Suppose -3*z + c + i + 8 = 0, -2*z = -4*c - 24. Calculate the smallest common multiple of 34 and z.
306
Suppose 0 = -180*v + 183*v - 4608. What is the least common multiple of v and 18?
4608
Let c = -120 + 166. Suppose -3*v - 72 = h - 4*h, 0 = -4*h - 2*v + 72. What is the least common multiple of c and h?
460
Suppose -f + 3 = -0. Let a(w) be the third derivative of -w**6/40 + w**5/60 - w**4/24 - w**3/6 - 29*w**2. What is the least common multiple of f and a(-1)?
12
Let o = -20225 - -182071/9. Let n = -16431/2 - -1561013/190. Calculate the common denominator of o and n.
855
Let q = 838/9 + -93. Let a = -2/157893239 + -3815805890653/1283672033070. Let m = a + 8/1355. Find the common denominator of q and m.
90
Let y be -93 + 3 + (-4 - -5). Let o = y + 101. Let z(r) = -r**3 - r**2 - 3*r + 3. Calculate the smallest common multiple of o and z(-3).
60
Let p = -160 - -157. What is the common denominator of -38/3 and ((-33)/216)/(p/(-45))?
24
Let v(y) = y**3 + 6*y**2 - y + 6. Suppose -3*n = -5*x + 40, -20 = -n + 4*n - x. Let c be v(n). Let k = 48 - c. Calculate the least common multiple of 15 and k.
60
Let q be (110/10)/(-55) + (-42)/(-10). Suppose 5*v + 404 = 3*j + 82, 767 = 7*j + q*v. What is the least common multiple of 8 and j?
872
What is the least common multiple of 24 and (-2 - 118)/(4 - (-637)/(-156))?
1440
Let w(q) = -2*q + 14. Let r be w(5). Let j be (2919/92)/(-7) + r. Let t = -156/23 - j. Calculate the common denominator of t and 61/12.
12
Let p(y) = -y**2 + 12*y + 23. Let x be p(12). Suppose 8*k + x = 9*k. Let g(l) = 2*l - 40. Calculate the least common multiple of 2 and g(k).
6
Let b = 458 - 308. Suppose b = 3*u + 33. Calculate the smallest common multiple of u and 27.
351
Let d(k) = -k**3 + 5*k**2 + 289*k - 53. What is the lowest common multiple of 48 and d(19)?
384
Find the common denominator of 107/18 and (-303)/(-12)*114/(-172881).
6066
Suppose 0 = -g + b - 2145, -2*b = -0*g + g + 2142. Let p = -42889/20 - g. Let w = -31910 + 1276521/40. What is the common denominator of p and w?
40
Let t(r) be the second derivative of r**4/12 - r**3/6 - 25*r**2 + 203*r. Calculate the least common multiple of t(13) and 10.
530
Let y = -13422667489/3