0 and w.
1290
Let f be 60/45*(2 - 1/2). What is the common denominator of 17 and (-29)/f*22/209?
19
Find the common denominator of 37/141 and (-5)/196*(-1672)/114.
6909
What is the least common multiple of 744 and -3866*1/(-23) + 204/(-2346)?
5208
Let i(t) be the first derivative of -t**2 - 22*t + 12. Let u be i(-13). Calculate the common denominator of 1/3 and 71/4 - (-9 + u).
12
Let j = -286609/309396 - 32/4071. Calculate the common denominator of 89/114 and j.
228
Suppose -5*a + 2*p + 3*p + 40 = 0, -4*a + 33 = -5*p. Let b = -2163 + 2168. What is the least common multiple of a and b?
35
Suppose 4*w + 4*o - 12 = 0, -9 = -3*w - 0*w + 4*o. Suppose -w*c - 2*t + 111 = -t, 0 = 4*t. Find the common denominator of c/44*16/4 and 149/6.
66
Suppose 4*w - 3*s = 159, 103 + 12 = 3*w + 2*s. What is the common denominator of w and -6/55?
55
Let i = -318 - 98. Calculate the common denominator of i/165 + (-95)/(-38) and 1/3.
330
Let d(s) = 10*s**2. Suppose 6*y + 9 = -3. Let q be d(y). What is the common denominator of 246/q*2 - (-6)/(-15) and -73/14?
70
Suppose -c + 10 + 12 = 0. Suppose 9*s + 148 = 1381. Suppose 2 = -15*v + s. What is the lowest common multiple of v and c?
198
Let j be (3*9/108)/((-20)/(-717382)). Let d = 8965 - j. Find the common denominator of -19/55 and d.
440
Suppose 0 = -2*l + i - 274, 2*l - 5*i + 387 = 113. Find the common denominator of -7/8 and (l/6 + 0)/(-6).
72
Let b = 21/40 - -11/8. Let t(o) = o**3 + 7*o**2 - o - 36. Let u be t(-9). Find the common denominator of b and ((u/(-350))/(-27))/(1/(-62)).
50
Suppose 5*p + 25 = -200. Let s = p - -80. Calculate the lowest common multiple of 77 and s.
385
Let s(d) = d**3 - 43*d**2 - 137*d + 46. Calculate the least common multiple of s(46) and 92.
92
Suppose 16*d - 8*d - 4584 = 0. Calculate the common denominator of 5/40 + 3*d/(-8376) and -41/8.
2792
Suppose 12626*y - 2892 = 12624*y. What is the lowest common multiple of 723 and y?
1446
Let p = 4342069843/2926 + -1483961. Calculate the common denominator of 83/2660 and p.
29260
Let c be 7 - ((-9)/(-6) + 45/(-10)). Suppose c = 5*b, b + 371067 = 5*z - 3*b. Let n = 9350983/126 - z. Calculate the common denominator of -61/10 and n.
630
Let h = 18 - 4. Let s(w) = -w**3 - 483*w**2 - 3370*w - 18056. Calculate the smallest common multiple of s(-476) and h.
224
Let s = 111 + -306. Let l = 11 - s. What is the smallest common multiple of l and 12?
1236
Suppose 26*q - 23*q - 165 = 0. Let f(c) = 8*c**2 + 3*c - 1. Let o be f(-3). Let u = o - q. Calculate the smallest common multiple of 1 and u.
7
Let l be -2 + 8 + -3 + 39. Let q = l - -12. Calculate the smallest common multiple of q and 1.
54
Let d(g) = g**2 + 7*g - 19. Let a be d(-9). Find the common denominator of ((-20)/(-110))/(a/(-23)) and -20/79.
869
Let j = 3129523/243858 + -2/40643. Find the common denominator of j and (-4)/6 - 236/24.
6
Suppose 2*p - 84 = -0*p - 2*b, 2*p - b = 93. What is the common denominator of (p/(-320) - 3) + 2 and (((-90)/243)/10)/(4/(-6))?
576
Let d(n) = n**3 - 5*n**2 - 10*n. Let k be 3 + (-5 - 0) + 4 - 18. Let y(w) = 2*w**2 + 32*w + 7. Let g be y(k). What is the least common multiple of 16 and d(g)?
112
Let d = -258 + 603. What is the common denominator of (-2)/7 - (-484)/420 and ((-4)/55)/(((-18)/d)/(-1))?
165
Let w = -37 + 35. Let v be (-3199)/504 - w/9. Let k = v + -13/8. Find the common denominator of 83/20 and k.
20
Let b = 14245119/40 + -356126. Let a = -400 - -2788/7. Calculate the common denominator of b and a.
280
Let f = -63 - -92. Let p be (-10)/(4/(-2)) + f. Suppose p*z = 27*z + 63. What is the least common multiple of z and 15?
45
Let z be ((-271)/45)/(90/74325). Let w = z + 4974. Find the common denominator of w and 34/27.
54
Let i = 405 + -293. Calculate the least common multiple of i and 98.
784
Let v = -13979 - -17912. What is the lowest common multiple of v and 81?
35397
Let q = -6071/3149 + 123/94. Let z = 221/300 + 267/25. What is the common denominator of z and q?
804
Let p be 248788/(-902) + (0 - (-2)/(-11)). Find the common denominator of (-6)/(-8) - p/(-432) and -23/3.
9
Suppose 4*d = 3*k - 4, -3*d - 14 = -4*k - k. Let o(f) = f + 7. Calculate the least common multiple of o(k) and 26.
286
Suppose -10*x + 98 = -3*x. Suppose 137 + 4959 = -x*u. Let l = u - -2875/8. Find the common denominator of -65/22 and l.
88
Suppose 4*v = u - 280, -4*v - 1320 = 2502*u - 2507*u. Calculate the smallest common multiple of 338 and u.
3380
Let a(k) = k**2 - 7*k + 9. Suppose 32 = 12*w - 1120. Let l = w - 90. What is the smallest common multiple of a(l) and 10?
30
Let h = 49 + -55. Let k = 3901/2 + -1915. What is the common denominator of h/4 + 1807/(-78) and k?
6
Let r(c) = -c**3 + c**2 + 7*c + 1. Let d be r(3). Suppose d*s + 0*s = 4. Calculate the lowest common multiple of 11 and (0 - (0 - s)) + 0 + 4.
55
Let f be (4 + (-12)/1)*(-21)/(-41). Let z = -2971/615 - f. What is the common denominator of z and -27/16?
240
Suppose -45*w + 124 = -43*w. Let q = 190 + -176. What is the least common multiple of q and w?
434
Let k = 252 + -249. What is the lowest common multiple of (-9 - -5)/(k/(-6)) and 5?
40
Let w = 6435/2 - 241307/75. Find the common denominator of 7/390 and w.
1950
Let j be (-9)/((-9)/397)*5/3. Let q = -55835/84 + j. Find the common denominator of q and 93/56.
56
Let b be ((-15)/2)/(2/(24/9)). What is the common denominator of (2/b)/(2/(520/175)) and -52/7?
175
Suppose 40*a = 46*a. Suppose i - 42 = -i + w, -3*i + 4*w + 58 = a. Calculate the lowest common multiple of i and 10.
110
Calculate the common denominator of (0 - 6)*15/(-24) and (53/(-90))/(413/(-2065)).
36
Calculate the lowest common multiple of 39 and 18/(18/(-11)) - -2078.
2067
Suppose -34*d + 51*d = -918. Suppose 3*a - 30 = -3*c - c, -4*c = -12. Calculate the smallest common multiple of a and (9 + d)/(3/(-2)).
30
Let h = -1694 - -11820/7. Let r = 2206609/1088244 - -3/30229. Calculate the common denominator of h and r.
252
Suppose -11*l - 20 = -12*l. Let y = 468695/38 - 12336. Find the common denominator of (-141)/l - (-18)/24 and y.
190
What is the common denominator of 61/36 and (-12)/54 + 91660/400320?
20016
What is the least common multiple of 954 and (-3 + 2)/((-1)/(-5))*46640/(-200)?
10494
What is the common denominator of (108/8)/(-27) - 83/(-90) and 149/690?
2070
Let h = -1992148937/198 + 10061326. Let v = -317/9 - h. Find the common denominator of -113/30 and v.
330
Suppose 4*s = -4*i + 1126 + 82, -2*s + 632 = -5*i. Calculate the least common multiple of s and 14.
2142
Let p(x) = 48*x - 78. Let q be p(3). Suppose -z + 69 = q. Let v(r) = 6*r**2 + r - 1. What is the least common multiple of v(1) and z?
6
Suppose -q - 3*m = -26 + 100, -3*q - 246 = 3*m. Let l = q + 226. Calculate the least common multiple of l and 6.
420
Let x(d) = 5*d**3 + 8*d**2 + 28*d - 217. What is the lowest common multiple of 7 and x(9)?
30296
Suppose -52 = -4*w + 2*g, 5*g - 65 = 9*w - 14*w. What is the lowest common multiple of w and 11?
143
Let w(q) = -q + 13. Suppose -3*u + 27 = -3*z, 4*z + 0*z = -5*u + 9. Let f be w(u). Suppose 11*k - 126 = f*k. What is the least common multiple of k and 18?
126
Suppose -23*f - 5 = -24*f. Suppose 0 = -3*i + f*d + 37, i - 18 = -i + 2*d. Find the common denominator of ((-128)/(-18))/i + (-14 - -14) and -27/2.
18
Suppose -2*d = 4*s + 8, 14 = -2*d - 14*s + 9*s. What is the smallest common multiple of d and 1012?
2024
Let h = 139231 - 139211. Let w(b) = -2*b - 2. Calculate the least common multiple of h and w(-7).
60
Suppose 13*g = g - 216. What is the common denominator of (7/(-6))/(-7)*-67 and (3/g)/((-6)/184)?
18
Suppose 7*y + 521 - 3011 - 1626 = 0. What is the least common multiple of 147 and y?
588
Let q(r) = r - 2. Let x be q(2). Suppose -i - 60 = -5*f - 1, -i - 4 = x. What is the lowest common multiple of 15 and f?
165
Suppose 3*z = -184 + 250. Let y = -13 + z. Let m = 10 - 3. Calculate the smallest common multiple of y and m.
63
Let f be -2 - -2 - -4 - 64. Calculate the common denominator of -3 + 3 + 2 + 575/f and -31/254.
1524
Suppose -4*z + 76 + 43 = 3*k, 5*k = 5. Let n(q) = -5*q + 154. Let m(b) = -b**2 + 5*b - 2. What is the least common multiple of m(4) and n(z)?
18
Let x(n) = n**3 + 20*n**2 + 17*n - 7. Calculate the least common multiple of x(-19) and (80/60)/(2/3) + 1.
93
Let