e 4*r + 14581 = 3*i, 2*r = 2*i - 3*r - 9723. Calculate the common denominator of ((-4)/7)/2 + i/(-3010) and ((-6)/(-16))/((-6)/308).
20
Suppose 0 = -5*s + 3*t + 22, -2*s + 3*t = 2*t - 8. Calculate the smallest common multiple of s and ((-282)/(-9))/((-195)/78*3/(-135)).
564
Let c be (2 - (-3 - (-12 - 1)))/(-2). Suppose -8 = -c*w + 8. Let l(g) = g**2 + 12*g + 49. Calculate the least common multiple of w and l(-9).
44
Let x = 150761/20 - 7532. What is the common denominator of -57/5 and x?
20
Find the common denominator of (498/176 - 2) + -1 and (32 - (-552)/(-32))/(-22).
88
Let y = 16244852/315 - 51571. What is the common denominator of y and -131/270?
1890
Let f = -151 - -166. Calculate the common denominator of 109/18 and 107/55 - ((-150)/(-4))/f.
990
Suppose 0 = 4*i - 5*y + 18598, 2*i - 718 = 5*y - 10012. Let n be (-8)/10 + i/1560. Let j = n - -60/13. Calculate the common denominator of j and -75/16.
48
Suppose -650 = 8*k - 11*k - 4*s, 3*s + 1035 = 5*k. Calculate the smallest common multiple of 150 and k.
1050
Let n(w) = -w**2 - 40*w - 64. Calculate the least common multiple of 435 and n(-38).
1740
Suppose 4*l - 240 = 3*k, -l + 70 = -2*k + 5. Let z(x) = -x**3 + 7*x**2 + x - 6. What is the lowest common multiple of z(7) and l?
57
What is the common denominator of -8 + 258/33 - (-912)/1463 and 2/(-3) + (-143)/(-84)?
308
Let c(p) = -2 + 2*p**2 - 9 - p**3 - 9 + p - 7*p**2. Let f be c(-6). Calculate the smallest common multiple of 56 and (0 + (-4 - -2) - f)*-1.
168
Find the common denominator of -27/344 and ((-124)/(-744) + 679/(-4128))/((-3)/(-46)).
688
Let m(d) = 3*d**3 - 2*d**2 + 11*d - 56. Let q(p) = p**3 + 2*p. Let w(y) = -m(y) + 4*q(y). What is the smallest common multiple of 91 and w(0)?
728
Let k = 676/59 + -118199/10620. Calculate the common denominator of -121/12 and k.
180
Suppose -9*x - 270 = -4*x. Let y = -50 - x. Calculate the least common multiple of 2 and y.
4
Let b = -431600387423 + 174694572812729749/404760. Let x = 3/33730 - b. Calculate the common denominator of x and 1/6.
120
Let a(z) = 2*z**2 + z. Let g be a(-2). Suppose k + g = 4. What is the common denominator of 29/12 and 5/130*-73 + (-1 - k)?
156
Let u(j) = -101*j - 3725. Let c = 40 - -398. What is the smallest common multiple of u(-37) and c?
876
Let g = 441/2831 + -4122997/25722466. Find the common denominator of g and -167/30.
136290
Let v = -18661/14928 + 13/622. What is the common denominator of (0 + (-1017)/(-84))/(-3) and v?
336
Suppose 17*g + 65 = 18*g. Suppose 0 = -5*x + y - 487, -3*y - g = -3*x - 350. Calculate the common denominator of 35/22 and x/40*1*-1.
220
Let v = -624/3325 + -43/350. Find the common denominator of 47 and v.
190
Suppose 3*j = -3*a + 15, 5*j - 22 + 7 = 0. What is the smallest common multiple of 7 and (-1)/(a/(-12)*2)?
21
Let z = -6308 + 9161. What is the smallest common multiple of z and 24?
22824
Let c be (-2)/((-8 - -10)/(-23994)). Let y = 2039519/85 - c. Find the common denominator of -33/25 and y.
425
Suppose -112*v = -38*v - 26686 - 79948. Calculate the smallest common multiple of v and 4192.
46112
Let y(d) = 4*d**2 - 41*d - 37. Let n be y(13). Suppose 5*x = -11 + n. Let q(s) = s + 10. Calculate the smallest common multiple of x and q(-8).
38
Let x be (-19 - -21)*(-246)/(-4). Let m = 124 - x. Calculate the common denominator of ((-1)/2)/(812/707*m) and 69/20.
1160
Let d(o) = 2*o**3 + 84*o**2 + 79*o - 81. Suppose -11*s = -s - 280. Calculate the least common multiple of s and d(-41).
84
What is the smallest common multiple of 20 and (-16)/(-12)*-6 + 36?
140
Let u be (-3275)/(-688) + (-15 - (-11 - -1)). Let l = u + 22/215. What is the common denominator of l and 26/25?
400
Let m(t) = t**2 - 7*t - 3. Let y be m(8). Suppose -24*z + 23*z - 3*a + 127 = 0, 597 = y*z - 4*a. What is the least common multiple of z and 5?
605
Suppose 0 = 4*i - 4, -i + 12 - 4 = k. Suppose k*a + 204 = 946. Calculate the smallest common multiple of (0 + 12)*(-2)/(-3) and a.
424
Let a(v) = v**3 + 3*v**2 + 17*v + 54. What is the lowest common multiple of a(0) and 84?
756
Suppose -58736 + 207500 = 66*m. What is the smallest common multiple of m and 8?
9016
Let w be (0 + (-12)/(-12978))/((-1200)/2880116). Let z = 5/6489 - w. What is the common denominator of -61/10 and z?
50
Let s = 3644 + 3170. Calculate the smallest common multiple of s and 2.
6814
Let h be 57 - (-6 - -9)/((-12)/(-8)). Suppose -h*k = -230 + 10. What is the smallest common multiple of k and 56?
56
Suppose 3*r - 2*i = 11, 15*r - 20*r + 4*i = -17. Let a(l) = -4*l**3 + 7*l**2 - l. Let w be a(5). Calculate the common denominator of (3/(-30))/(r/w) and 50/9.
45
Suppose 40 = 5*p - 7*p - 2*r, 0 = -2*p - 3*r - 36. Let m = p - -26. Suppose 4*s = 2*s + m. Calculate the lowest common multiple of s and 10.
10
What is the smallest common multiple of (-28558)/(-393) - 1/3 - (-2)/(-6) and 1788?
10728
Let s = -2331539388 + 1818601111811/780. Let j = s - 6463/13. Calculate the common denominator of j and 137/24.
120
Let c(f) = 36*f + 184. Let o be c(10). Let m = o + -540. Calculate the lowest common multiple of 2*(-1 - 0) - -20 and m.
36
Suppose 0 = 212*k - 209*k + 4*c + 1, -3*c - 57 = -4*k. Calculate the lowest common multiple of k and ((-2)/(-4))/(4/360).
45
Let o be 0 - 31699/330 - 1. Let n = -24620357/33 - -745979. Let d = o - n. Calculate the common denominator of d and 35/3.
30
Find the common denominator of (-27019)/33948 + 16/36 + 0 and 139/30.
1380
Let i = -1038 - -1027. Let k = -106 - -355. Calculate the common denominator of 9/4 and (k/18)/(i - -8).
36
Suppose -69 = 2*d + 5*j, j - 4 - 13 = d. Let h be (-11)/d + (-10)/(-84). Let b = 3/14 + h. What is the common denominator of 51/41 and b?
246
Suppose 74*j - 7697 = 87*j - 26898. Calculate the lowest common multiple of j and 77.
16247
What is the lowest common multiple of 2 + 3 + (40 - 1/1) and 136?
1496
Let i be (53 - 51)/((-262)/(-20)). Let l = i - -10269/524. Calculate the common denominator of -29/4 and l.
4
Let s = 2559 + -5027/2. What is the common denominator of s and -131/12?
12
Let o(r) = 11*r + 55. Let c be o(12). Find the common denominator of (-51)/c + (-1 - 0) and -47/3.
33
Suppose -2*m = -5*g - 9, 5*g + 27 = -4*m - 0*g. Let c be 3033/(-4)*8/m - -3. Let f = c + -22244/11. Find the common denominator of f and 37/3.
33
Let x = 261356/3078675 - 44/22805. Let q = -22795/2 + 11372. What is the common denominator of q and x?
1350
Suppose -o - 10 = 14. Let t be o*(-1 + (-5)/(-10)). Calculate the common denominator of ((-8)/t)/((-8)/582) and 89/2.
2
Suppose 144 = 3*r + 3*z, -r + 65*z + 40 = 64*z. What is the smallest common multiple of r and 264?
264
Let i = -44/251 - 18007/7530. Let g = -4959 + 823189/166. Let n = -8783/498 + g. What is the common denominator of i and n?
30
Let r = -3265/772 + -4/193. Let f(w) = w - 4. Let x be f(3). What is the common denominator of r and 37/76*(x + 5)?
76
Let s = -18100/3 - -19638308/3255. What is the common denominator of s and -7/62?
2170
Suppose -32030 = 5*a + 4*b, 5*a + 3*b + 32025 = -0*b. Calculate the common denominator of ((-3)/7)/1 + a/(-5775) and -26/19.
475
Suppose 32*b - 14*b - 2628 = 0. Suppose 138*y - b*y = -440. Calculate the lowest common multiple of y and 22.
110
Let f(m) = 3*m**2 - 249*m - 235. Calculate the least common multiple of f(93) and 3577.
17885
Let u = -277 - -277. Suppose 4*q + 12*d - 9*d - 146 = u, 5*d = -q + 45. What is the least common multiple of 49 and q?
245
Let g = 749392 + -544058677/726. Calculate the common denominator of g and 149/726.
726
Suppose 11*u - 1236 = -92*u. Calculate the least common multiple of 2240 and u.
6720
Let a = -1578 - -1586. Suppose 0*o + 18 = 3*o. Suppose o*x + 17 - 53 = 0. What is the lowest common multiple of a and x?
24
Let q be 1/((-9)/(-38)) - 100/450. Let i(b) = -7*b - 2. Let z be i(q). Calculate the common denominator of 1/((-3)/123*z) and -67/30.
30
Let b(q) = -q**3 + 17*q**2 - 19*q - 82. Let d be b(15). Suppose -m + 97 = d. Calculate the least common multiple of m and ((-3)/4)/((-2)/32).
84
Let l = -103 + 817/8. Let z be 1/3 - 3440126/(-1982904). Let k = -1/22533 + z. Find the common denominator of k and l.
88
Suppose -4*w + 212 - 52 = 0. What is the least common multiple of (-68 + w)*(-3 - 0 - 0) and 6?
84
Let u(d) = 16*d**3 + 3*d**2 + 26*d + 56.