g + 1. Let d be h(4). Calculate the common denominator of 6443/d + (-2)/13 and 448/40 + (-6)/4.
10
Calculate the common denominator of ((-16)/48)/(2080/1164) and -9/88.
5720
Let b = 12538 + -789872/63. Calculate the common denominator of 25/237 and b.
4977
Let f(a) = -a**2 + 23*a - 19. Let v be f(22). Suppose 3*d - g = -d + v, 3*g + 1 = 4*d. Suppose -3*s = -9 - 0. Calculate the smallest common multiple of d and s.
3
Let n = 2537493/2 - 15188011/12. Suppose 5*q - w = -15374, -5*q = w + 4169 + 11207. Let a = q + n. Calculate the common denominator of a and 79/2.
12
Suppose 118 = -h + 4*s, -307 = -5*h - s - 876. Let c = h - -88. Calculate the lowest common multiple of 27 and 272/6 - 1 - c/39.
135
Let r(y) = -25*y - 616. What is the lowest common multiple of r(-25) and 756?
756
Let t = -41824222/633 - -66073. Find the common denominator of 67/1899 and t.
1899
What is the common denominator of 13/55 and ((-1)/(-195) - 0)/((-41216)/2064 - -20)?
2860
Calculate the common denominator of (-141 - 3 - -5)/(1008/21) and (-141)/8*(-1)/27.
144
Let u(r) = r**2 + 10*r + 52. Let g be u(-14). Let d = g - 98. What is the smallest common multiple of 1 and d?
10
Calculate the common denominator of 119/130 and (135/(-315)*452/42)/(240/(-28)).
2730
Let x(j) = -j**3 + 4*j. Let v be x(3). Find the common denominator of ((-3129)/(-280) - 19) + 1/(10/12) and ((-159)/v)/((-12)/10).
24
What is the common denominator of 180/(-810)*(-38)/(-3) and -80/63?
189
Let q = 48 + -55. Let z be (-1380)/(-21) - 2/q. Suppose 0 = -9*p + 12*p - z. What is the lowest common multiple of p and 4?
44
Let u(r) = 4*r**2 + 142*r + 1404. Calculate the smallest common multiple of u(-11) and 18.
2934
Suppose 0 = -2*y - 6 + 10. Let m be (0*(-2)/10)/y. What is the smallest common multiple of 90 - m*1/4 and 4?
180
Suppose -7*m - 4*m = -22. Calculate the lowest common multiple of (m - 0)*8/2 and 28.
56
Let z be (-24)/16 + (-14)/4. Calculate the common denominator of (z/(60/(-9)))/((-99)/(-2)) and 113/12.
132
Let m = 3971 - 3527. Calculate the smallest common multiple of m and 74.
444
What is the common denominator of (4 - (-7510)/(-1752)) + 1/3 and (13 - (-272)/(-24))/((-69)/(-81) + -1)?
876
Suppose 15*l - 198 = 6*l. Let t = 16 - l. Find the common denominator of ((-1072)/6)/(-4)*t/16 and -45.
4
Calculate the common denominator of ((74/18)/1)/1 and 30/10 - (33/(-30))/(3/(-6)).
45
Find the common denominator of 29/25 and ((-106304)/(-23040) - (-4)/(-32))*6/(-208).
3900
Suppose 3*l + 9685 = 4*r, -3*l + 551 = 2*r - 4278. Let k = r + -609. Let f = k - 81527/45. Calculate the common denominator of -133/18 and f.
90
Suppose -20*g - 13*g + 24*g = 0. Let z(a) = -a**3 + 6*a**2 - 2*a - 3. Let i be z(3). Suppose c + i - 22 = g. Calculate the lowest common multiple of c and 2.
4
Suppose -2 + 8 = 2*y, -2*v + 3*y = -19. Calculate the lowest common multiple of 2166 and v.
15162
Let h be (-5)/(700/(-3014)) - (-6)/(-14). Let c = h + -2389/90. Calculate the common denominator of c and 17/9.
9
Let b = 4612 - 3672. What is the least common multiple of 376 and b?
1880
Let l(k) = 11*k**3 - k**2 + k - 1. Let t(q) = 562*q - 10106. What is the least common multiple of l(1) and t(18)?
10
Let x = 28153231926931/9891 - 2846348398. Let w = x - 4/1413. Calculate the common denominator of w and 35/11.
77
Suppose -1 = 5*u - h, h = 2*u - 49 + 53. What is the lowest common multiple of u and 45/10 + (-2)/(-4)?
5
Let r be (16/(-14) - -2)*(5 + 2). Find the common denominator of 18/(-68)*((-24)/(-6) + -5) and 219/54*(-4)/((-16)/r).
204
Let z = -159332 - -1277345/8. Let b = 344 - z. What is the common denominator of 107/68 and b?
136
Let w = -23151 - -33391. What is the least common multiple of w and 2?
10240
Let j = -624 - -701. Suppose -11*y = j - 275. What is the least common multiple of 162 and y?
162
Let n be 1 + (-2 - -1)*7/7. What is the common denominator of -65/9 and (n + 1)/((-252)/1078)?
18
Find the common denominator of (12/126)/(0 + -6 + 682/111) and -97/140.
280
Let w = -4/1105 - -109411/4420. Suppose -3*h - 180 = -60. What is the common denominator of w and (-138)/h - (-7)/(-49)*0?
20
Suppose 4*w + 3*o + 125 = 0, -o + 155 = -5*w - 6*o. Calculate the common denominator of 291/(-540) - w/80 and 111/10.
180
Let w be 36 - 2/(-6)*(-9 - 0). Suppose -5*b = w*b - 1520. Calculate the least common multiple of b and 15.
120
Calculate the common denominator of 8/(-876)*7/((-7)/32) and -61/6.
438
Let h = 3 - 2. Suppose w - 6 - h = 0. Let l(i) = 3*i**2 + 71*i + 73. What is the smallest common multiple of w and l(-23)?
189
Let l(k) be the third derivative of -13*k**4/24 - 38*k**3/3 - 75*k**2. What is the lowest common multiple of l(-8) and 40?
280
Suppose 0 = -2*d + 9*q - 6*q + 555, 0 = 4*d - 3*q - 1113. Calculate the smallest common multiple of d and 9.
279
Let s = -29 - -32. Suppose 2*w = -s*w + 30. Suppose 0*c - w = 2*c, -14 = -a + 2*c. What is the lowest common multiple of 16 and a?
16
Let h be (-3)/950*(-5)/(-115). Let n = -1037833/305900 + h. Find the common denominator of 25/44 and n.
308
What is the common denominator of (-319)/261*(-24)/4 and 83/14?
42
Let f = 140 + -138. Find the common denominator of -33/35 and f/((-507)/287 + (-15)/35).
315
Let v = 22568/5 - 248199/55. Let d = v + -2071/2695. Find the common denominator of d and 59/7.
49
Let k = -37333720/1463265699 - -1/611989. Find the common denominator of -18 and k.
2391
Find the common denominator of ((-927)/96*-2)/(9*(-2)/8) and -5/747.
2988
Let k be (-9 + 8)/((8/(-286))/4). Let l = k - 132. Suppose 7*u - 2*u = 4*h - l, -u + 9 = 2*h. Calculate the lowest common multiple of 54 and h.
108
Let m = -44534 - -9619309/216. What is the common denominator of m and 10/9?
216
Let q = -7134 + 7392. What is the smallest common multiple of q and 258?
258
Let s = -2430/43 - -14816/215. What is the common denominator of 9/455 and s?
455
Let n be ((-3513914)/220)/((-3)/5). Let d = -26623 + n. Calculate the common denominator of -23/12 and d.
132
Let v(g) = -10*g + 4. Let y be v(-4). Suppose y*i + 90 = 41*i. What is the lowest common multiple of (i/(-4))/(4/8) and 24?
120
Suppose i - 4*h = 30, 4*i - 45 = 3*i + h. Suppose 2464 + 416 = 181*q - 37*q. What is the smallest common multiple of q and i?
100
Let h be ((-3)/2)/(4/(-8))*63. Let l = h + -149. Calculate the least common multiple of l and 44.
440
Let q = 21571369/69735 - 3/23245. Let s = q + -667/2. Calculate the common denominator of s and -127/36.
36
What is the common denominator of (-2)/(-115)*(-18640)/64 + 3 and 4/161?
322
Let t = -265019 + 265028. Let g = -23 + 62. Calculate the lowest common multiple of t and g.
117
Let f(n) = -2*n**3 - 20*n**2 - n - 157. Calculate the least common multiple of f(-11) and 348.
2784
What is the common denominator of (-2)/4 - 214/(-344) and 145/(-174)*(546/(-480) + -1)?
1376
Let z(d) = -42*d. Let s be z(5). Let q(i) = 6*i + 1. Let a be q(1). What is the common denominator of (8/5)/(3*a/s) and -6/19?
19
Let f be (4 - 14/7)*2. What is the lowest common multiple of 7 and 1/(-3)*(-4 + f + -21)?
7
Suppose 562 = -3*q + 592. What is the common denominator of -13 - (-125)/q - (-166)/(-48) and 68/3?
24
Let b be 6/5*(-15 - -20). Suppose -84 = -b*r + 5*r. What is the least common multiple of r and 18?
252
Let u(w) = 37*w + 1167. Suppose r - 6 = -2*r. What is the least common multiple of r and u(-31)?
20
Find the common denominator of 85/36 and -12*(-9)/(-702) + 1775/7904.
5472
Suppose 0 = -20*b - 972 + 1492. What is the least common multiple of 218 and b?
2834
Suppose 0 = -8*o - 98 + 122. Suppose -658 = -o*y - 118. What is the smallest common multiple of 15 and y?
180
Let y be 4*(2 + -3)/(-1). Suppose -z - 60 = -y*z. What is the lowest common multiple of z and (1/(-12)*-4)/((-1)/(-42))?
140
Let w = 1644237/5492 + -14798664665/46577652. Let c = w + -2/2827. Calculate the common denominator of c and -1 - 1/(11/13).
33
Suppose -88*j + 4884 = 23*j. Calculate the lowest common multiple of 18 and j.
396
Let q(d) = -5*d + 49. Let z be q(9). Suppose -24 = -z*y + y. Calculate the smallest common multiple of y and 4.
8
Calculate the common denominator of (-43)/3*(-4)/52 and (-2)/7*6545/(-272).
312
Suppose -2*r = -3*r + 28. Suppose 1175 = 7*o - 267. Let b = -195 + o. Calculate the lowest common multiple of b and r.