f -119/260 and (-5574)/8008 + (-696)/(-1914).
1820
Suppose 2*m = -4*l + 3438, -3*m - 2*l - 244 = -5409. Let w = -27639/16 + m. Calculate the common denominator of -12/23 and w.
368
What is the common denominator of -2/113 and -2 - 21/(-9) - 2388/(-288)?
904
Let n = -240083/11 - -21846. Let w = n - 2081/88. Calculate the common denominator of 1 + 0 - 78/40 and w.
40
Let u = -29/314 + 17107/222626. Let z = -44953/18434 - u. Find the common denominator of z and 14/23.
598
Let s = -3895049/18522252 - 2/73501. What is the common denominator of 137/252 and s?
252
Suppose 63*d - 8556 = 17*d. Let c = 18/15199 + 45064747/243184. Let i = d - c. What is the common denominator of 37/4 and i?
16
Let s be 57837/6120 - 2 - 5. Let p = -1/2040 + s. What is the common denominator of (-3)/6*(-309)/(-18) and p?
60
Let y = -2735 + 2745. Let x = -7 - -11. Calculate the lowest common multiple of y and x.
20
Let n(y) = 11*y - 73. Let w be n(7). Calculate the least common multiple of 70 and 732/26 - w/26.
140
Let i be (5 + 4)/(-9)*(5 + -1). Calculate the common denominator of -7/15 and (-194)/i*(13 + 518/(-40)).
120
Let m(c) = 2*c**2 - 19*c + 17. Let q be m(8). Calculate the common denominator of q + 6 - 183/(-45) and 57/35.
105
Let f be (1 - -1 - 15)*(-156769)/380760. Let k = -19/1336 - f. What is the common denominator of -47/30 and k?
30
Let f = -13520 - -14120. What is the least common multiple of f and 840?
4200
Let t be (-11 + 10)*-1*262. Calculate the common denominator of -45/8 and ((-34)/(-4760))/((-1)/t).
280
Let l be (19/2 + -5)*328/(-6). Suppose -10 = p - 4*u - 0, -p - u + 5 = 0. What is the lowest common multiple of p and 10/20 + (l/(-4) - -1)?
126
Let j(r) = -43*r - 4*r**3 + 2*r**3 + 3*r + 92 - 43*r**2 + r**3. What is the least common multiple of j(-42) and 28?
56
Suppose -63593 = 119*r - 138*r. Let m = 67872133/16 + -4238656. Let q = r - m. What is the common denominator of -89/18 and q?
144
Let a(n) = -n**3 - n. Suppose -42*b + 46*b + 8 = 0. Let c(j) = j**3 - j**2 - j. Let l(g) = b*c(g) + a(g). What is the lowest common multiple of 16 and l(-1)?
16
Let p = -39/41 + 1937/1476. Find the common denominator of 7/324 and p.
324
Suppose 2*z + 32 = 2*s, z = 2*s - 16 - 15. Calculate the smallest common multiple of (42/s + -1)/((-30)/(-100)) and 5.
30
Suppose 2*a + 4*g - 1868 = 0, -50*g + 3775 = 4*a - 55*g. Calculate the smallest common multiple of a and 8.
1880
Let y = 5327 + -5267. What is the least common multiple of 130 and y?
780
Suppose 0 = -6*g + 3*g + 84. Suppose -2*s - 2*s - c + 30 = 0, 4*s + 2*c - g = 0. Calculate the smallest common multiple of s and 8.
8
Suppose -o = -3*z - 3, 3*z + 3 = 2*z. Let b = 56345/9 - 6259. Calculate the common denominator of b and ((-10)/o)/((-22)/3).
198
Calculate the common denominator of (-4)/(-18) - (3/(-30) + 263193/761670) and -29/65.
2015
Let k(i) = 46*i**2 + 8*i. What is the smallest common multiple of 18 and k(-2)?
504
Suppose 12*o + 642563 = 218303. Let d = -2774633527/78465 + 8191/10462. Let c = d - o. What is the common denominator of c and 19/18?
90
Let p be (72/45)/4 - 416/(-10). Let y = 60 + p. What is the lowest common multiple of y and 20?
1020
Let a(n) = 237*n + 1. Let d be a(5). Let x = -14245/12 + d. Calculate the common denominator of 6/(216/(-534)) + -7 + 6 + -2 and x.
12
Find the common denominator of -43/280 and (-2)/3*(-8 - 1490/(-40)).
280
What is the common denominator of ((-20)/162)/(10/105) and -17/735?
6615
Let q(j) = -106100219*j - 18. Let t be q(24). Let n = 26665955978293/10472 + t. Let s = n - 2/1309. Find the common denominator of -27/8 and s.
8
Let g(r) = -2*r - 7. Let d be g(-7). Let n = -973 - -994. Let x = n + d. What is the lowest common multiple of x and 12?
84
Let d = 75 + -39. Let r = 2113 + -2091. Calculate the smallest common multiple of r and d.
396
Let q(c) = 7*c + 665. Calculate the smallest common multiple of 154 and q(37).
924
Let w = 19 - 9. Let m(a) = -a**2 + 26*a + 41. Let u be m(26). Suppose 39 = 5*s + 3*h, -5*s = -h + 3*h - u. What is the least common multiple of w and s?
90
Calculate the least common multiple of 30 and 1703 - ((-18)/10 - (-12)/(-60)).
10230
Let m = -131 - -143. Let t = m - -81. Suppose 4*u + 5*c = 147, 2*u + u - 2*c - t = 0. Calculate the smallest common multiple of u and 21.
231
Let z = 6259 + -206497/33. Let b(n) = -145*n + 435. Let d be b(34). Let c = d - -94448/21. Find the common denominator of z and c.
231
Suppose -11*n + 876 = -9*n. Let a = 72167/25740 - -4/2145. What is the common denominator of a and (2/(-4))/(n/10877)?
36
Suppose 9*r + 63 = 24*q - 21*q, 3*q = 4*r + 63. Let j(p) = -3*p - 9. Calculate the lowest common multiple of j(-8) and q.
105
Suppose -2*d = -a + 25, 0*d + 20 = -5*d. What is the common denominator of 87/16 and (6/456)/(11/a)?
3344
Let h = 5543 - 5529. Calculate the lowest common multiple of h and 752.
5264
What is the common denominator of 59/2060 and (-7482)/3708 + ((-27)/18)/((-9)/12)?
6180
Let y(r) = -28*r - 18. Let j be y(-8). Calculate the common denominator of ((-250)/(-392) - -1)/((-309)/j) and 79/6.
294
What is the common denominator of ((-8)/(-740))/(7688/775) and 85/8?
9176
Find the common denominator of (-8)/14 - 13817/(-18655) and -109/90.
1170
Let a = -1357/4235 + -20/121. Calculate the common denominator of a and (2/((-140)/74))/1.
35
Find the common denominator of (6490/310 - 21) + (-14798)/(-297600) and -73/4.
4800
Let b = 7657 + -857587/112. What is the common denominator of -33/124 and b?
3472
Let y(n) = 3*n - 60. Let w be y(32). Let h = -9 + 49. Let j = h - w. What is the smallest common multiple of j and 20?
20
Let q = 1802377/59 + -30548. Calculate the common denominator of (6/(-28))/(76/798) + (-820)/48 and q.
177
Suppose -10*v + 5*p = -12*v - 8, 12 = -3*v - p. What is the least common multiple of 2 + 14 + (v + 7 - 3) and 6?
48
What is the common denominator of -92/1635 and (1 - 55/(-5)) + (-10128)/872?
1635
What is the common denominator of (459/(-1190))/((-6 + 5)*31/2) and -64/35?
1085
Let d(g) = g**3 - 2*g**2 + 3. Calculate the lowest common multiple of d(1) and 553.
1106
Let t = 274592/160607 + 24/2033. Let s = t - -10693/2370. Calculate the common denominator of s and 23/(-2 - (2 + -22)).
90
Let a = 43/1402648 - -26172703003/239852808. Let p = a - 988/9. Calculate the common denominator of (-3485)/(-350) - 4 - (-4)/10 and p.
266
Calculate the common denominator of -83/14 and (-3 + 2635/880)*(-1204)/(-17630).
126280
Let f = -37 - -20. Let y = 20 - 23. Let n = y - f. Calculate the lowest common multiple of 18 and n.
126
Suppose 89 = 4*k - 4*o + 13, 4*o = -k - 6. What is the smallest common multiple of 32/40 + (-7)/(70/(-292)) and k?
210
Calculate the smallest common multiple of 710 and (-852)/(24/(-8) + 2).
4260
Let z be 3/(3/8) + 4. Find the common denominator of (-129)/(-9)*z/(-20) and (4890/(-1420) + 3)*(-16)/12.
355
Suppose -1068 = 5*k + 2*q - 237, -5*k - 5*q - 840 = 0. Calculate the common denominator of (-153)/18 + -3*1 and 11/(k/50) + -5.
6
Let x(v) = v**3 + 3*v**2 + 2*v + 2. Suppose -2*m - m = 5*r - 601, 5*m = -15. Let o = r - 114. Calculate the smallest common multiple of x(-2) and o.
8
Let j(z) be the first derivative of 2*z**4 - 5*z**3/3 + 3*z**2 - z + 25. Calculate the smallest common multiple of j(2) and 15.
165
Let g(k) = -5*k**2 - 12*k + 10. Let s(b) = 3*b**2 + 12*b - 11. Let d(f) = 2*g(f) + 3*s(f). Calculate the smallest common multiple of d(2) and 9.
63
Suppose 4*u + 3*g = 1333, -4*u - 11*g + 288 = -973. Calculate the smallest common multiple of 306 and u.
3060
Calculate the common denominator of (-2312)/294 - -15 - 7 and 53/210.
1470
Suppose 2*b + 18 = -4*u - 54, -3*b = 0. Calculate the common denominator of 138*(-27)/918 - -2 and 2/9 - 106/u.
153
Find the common denominator of 6 + (-640)/40 - (-86)/12 and 75/(-23) - (-18)/6.
138
Let i(j) = -15*j - 29. Suppose -l + 3*m + 4 = 1, -5*l - 2*m = 19. What is the smallest common multiple of i(l) and 20?
80
Let d = 40415 + -119584/3. Let z = 180875/322 - 36/161. Let l = z - d. What is the common denominator of -59/20 and l?
60
Suppose -5*y = 5*k - 45, k + 3 = 5*y + 24. Suppose 2*q - k*q = -189. Calculate the smallest common multiple of 22 - 14/q*(2 - 5) and 18.
72
Let s be 2 + (-1 - 1 - 8). What is the common denominator of (-335)/(-3