1/4348.
13044
Let x = -571 + 576. Suppose 0 = -4*p + 3*c + 102, x*p - 139 = -5*c + 3*c. What is the least common multiple of p and 36?
108
Calculate the common denominator of ((-949)/(-12025))/(-1 + 1 - (-48)/60) and -27/110.
8140
What is the common denominator of -155/408 and -7 - ((-27)/15 - 37713/7020)?
6120
Let a = -4 - -5. Suppose -5*c + 0 = -30. Calculate the common denominator of 5/24 and (57/(-9))/((-10)/c - a).
24
Let p be (164/(-369))/(-1 + (-43)/(-45)). Suppose -p*n - 3013 = -9993. What is the least common multiple of n and 10?
3490
Let s(o) = -8*o**3 + 3*o**2 + 7*o - 16. Let t be s(2). Calculate the common denominator of (1422/t)/((-4)/(-3)) and -87/4.
4
Suppose -h + 21 = -33. Let p = h - 51. Suppose -15*a + 28 = -a. Calculate the least common multiple of p and a.
6
Calculate the common denominator of 61/(-12) + (-6)/(-18) and 11/((-22)/(-31))*((-237)/120 + 2).
80
Suppose -534 + 594 = t. Let a = t - 447/8. Find the common denominator of -29/136 and a.
136
Let o = -344869/75699 - -2/8411. Let w be (2/(-3))/(17/13770). Find the common denominator of 4/(-6) - (-2853)/w and o.
180
Let p(n) = -3*n**2 + 5*n + 118. Let j be p(16). Let s = -519 - j. Calculate the lowest common multiple of 15 and s.
255
Let u(m) = -8*m + 14. Let w(y) = y**2 - 12*y + 20. Let p be w(6). Let x be u(p). Suppose -5*q = -x + 62. Calculate the smallest common multiple of q and 4.
16
Suppose 4*b = 49*d - 45*d + 52, 2*d - 94 = -13*b. What is the least common multiple of 1029 and b?
8232
Suppose 0 = -3*p - 4*x + 781, -3*p - 3*x = -745 - 32. Calculate the smallest common multiple of 102 and p.
510
Let j = -728 + 7846. What is the least common multiple of j and 2?
7118
Let t = 605 - 507. Calculate the lowest common multiple of t and 42.
294
Let q = -2244 + 3840. Let f be q/60 - 4/(-10). Suppose -8*t - 11 + f = 0. What is the smallest common multiple of 18 and t?
18
Let s = 30/497 + -164161/1789200. Find the common denominator of 41/4050 and s.
32400
Suppose -148*v = -151*v + 9. Suppose 0 = 13*o - 5*o - 528. Calculate the least common multiple of -1*v + (5 - 5 - -19) and o.
528
Let v = 1017001/16557021 - -33/14261. What is the common denominator of v and -95/516?
4644
Suppose 8*r - 4*r = -2*j + 28, 3*j + r = 57. Calculate the lowest common multiple of (2 - 3)*(3 - (-2 - -29)) and j.
120
Calculate the common denominator of 218 - 208 - (-5667)/(-568) and 65/44.
6248
Suppose 53*t - 11*t - 1177 = -65*t. Calculate the smallest common multiple of t and 1504.
16544
Suppose -4*j + 5*b = 9 + 7, 2*j + b = 6. Let z(i) = 28*i. Suppose 33198*m - 33255*m = -1140. What is the least common multiple of m and z(j)?
140
Suppose 7*z - 2*z - g = 210, 3*z - 3*g - 138 = 0. Let c(n) = 2*n**2 + 9*n + 8. Let s be c(-7). Let p = s - z. What is the smallest common multiple of p and 11?
22
What is the common denominator of -71/110 and ((-84)/240)/((-2436)/96)?
3190
Let u = -36/985 - -68803/76830. Find the common denominator of u and (511/(-32) - -2)/((-900)/400).
312
Let v(h) = 5*h - 11. Let s be v(2). What is the common denominator of 117*s/28 - -3 and 105/22?
308
Let t(l) = -l**3 - 21*l**2 - 17*l + 10. Let r(s) = -s**3 - 22*s**2 - 17*s + 10. Let o(j) = 3*r(j) - 4*t(j). Calculate the least common multiple of o(-16) and 1.
230
Let f = 89048657/253320 + -43/31665. Let y = f - 1697/5. Find the common denominator of y and 46/3.
24
Suppose 0 = k, -139*d + 2*k = -138*d - 784. Calculate the least common multiple of d and 1372.
5488
Suppose 4*m + 1253 = a, a + 2*a - 639 = 2*m. Let i = m - -330. What is the lowest common multiple of 2 and i?
18
Let h be (49128/60)/((-36)/(-30)). Let v = 663 - h. Find the common denominator of v and -5/6.
6
Find the common denominator of 113/348 and 4917/(-4785)*50/(-24) + -2.
348
Suppose -78 - 182 = 26*b. What is the common denominator of -91/30 and b + -2 + 8 - (-156)/27?
90
Suppose -17*m = -18*m - b - 204, 0 = 5*m + 2*b + 1023. Let i = -203 - m. Calculate the smallest common multiple of 178 and i.
178
Let v be (394/8)/((-44)/(-880)). Suppose 12*k = 1223 + v. Calculate the lowest common multiple of 6 and k.
552
Suppose 0 = -2*p + 37 - 209. Calculate the smallest common multiple of (264/528)/(1/44*1) and 2/4 - p/4.
22
Let t = 389 + -383. What is the lowest common multiple of 126 and t?
126
Suppose 0 = -178*k + 186*k - 6408. Calculate the smallest common multiple of 9 and k.
801
Calculate the common denominator of 44/(-12)*36/(-291) and (4 - (2 + -3))/(990/(-180)).
1067
Suppose -y - 9 + 19 = 0. Let c(v) = 2*v**3 + 2*v**2 - 4*v + 2. Calculate the smallest common multiple of c(2) and 1/(y/(-18)*(-36)/120).
18
Let a(k) = 171*k - 1049. What is the least common multiple of 18 and a(13)?
10566
Let a(z) = 0*z - z + 0*z + 5. Let x = -2145 - -2159. What is the smallest common multiple of a(-9) and x?
14
Let r be (-3)/(-24) + 324994/48. Let f = r - 2030989/300. Calculate the common denominator of f and 19/18.
900
Suppose -131*l - 251 + 1304 = -2484. What is the least common multiple of 1665 and l?
4995
Let x = 146990766 + -244004660363/1660. Let j be (4 - 2)*(-3)/1245. Let u = j - x. Find the common denominator of -29/20 and u.
20
Suppose 5*u + 4*a = 520, 2*u + 2*a + 2*a = 196. What is the common denominator of 65/12 and u/(-162) - (-25)/(-192)?
192
Let z be (33 - 21)*4*-1. Calculate the common denominator of -88/63 and 308/z*(-55)/70 - 3.
504
Let o = 161 + -162. What is the common denominator of (395/(-120))/(o/4) and 47/30?
30
Let y = 4355463/26560750 - -2/106243. Find the common denominator of y and -93/200.
1000
Suppose -i - 4*r = -3*r + 74, -5*i - 366 = 3*r. Calculate the common denominator of 1*(-106)/i*3 and 101/92.
276
Suppose -4*a = -4*j + 336, -5*j - 17 = a - 431. Calculate the smallest common multiple of j and 9/(-27) + 136/12.
913
Suppose o = -3*b + 6, 0 = 4*b + o - 12 + 4. Suppose b*r = 223 - 103. Calculate the smallest common multiple of r and 27.
540
Let d(b) = -b**3 + 11*b**2 - 7*b - 10. Let t be d(10). Let f = 20 - t. What is the smallest common multiple of 14 and (3/6 + f)*(-1 + 5)?
14
Let o(z) = -441*z**3 + 2*z**2 - 4*z - 6. What is the smallest common multiple of 63 and o(-1)?
441
Let k = 1271 + -1795. Calculate the common denominator of -49/6 and (-11)/(-22)*(102/k)/(-3).
1572
Let g = 109513168462/2583 - 42397672. Let c = 6/287 - g. Let y = 9/172 + 2273/2580. Calculate the common denominator of c and y.
45
Suppose 20 = 4*b, 4*t + 5*b = 2*b + 95. Suppose -5*i - 5*a = 578 + 332, -4*i - 756 = -3*a. Let z = -132 - i. Calculate the lowest common multiple of t and z.
540
Calculate the common denominator of -131/24 and 2*1 + -1 + 240806/(-21660) + 10.
2280
Suppose -29861*a = -29879*a + 900. Calculate the least common multiple of 1040 and a.
5200
Let f = -127 - -132. What is the common denominator of (-1)/f + (-63)/15 and -47?
5
Let g be ((18/4)/9)/(3/(-12)). Calculate the least common multiple of 12 and 30/(0 + g - (-22)/8).
120
Suppose -5*w + 22545 = 3*l, -w = 4*l + 1048 - 5540. What is the least common multiple of 3 and w?
4512
Let d = -2/16851 + -409961/674040. Calculate the common denominator of d and 53/690.
2760
Let d = 13748 + -687473/50. Let y = -91435/69069 - 250/6279. What is the common denominator of d and y?
550
Suppose -3*n + 56 = -73. Suppose 0 = -3*m + n - 40. Calculate the lowest common multiple of m and 13.
13
Calculate the common denominator of 0 + -2*135/96 and -5*63/270*(-1476)/(-560).
80
Suppose 23 + 103 = 7*m. Suppose 0 = -10*l + m + 22. Suppose -2*b + b = -l. Calculate the smallest common multiple of b and 1.
4
Let k = 9/1136887775 - 767702342406931/140974084100. Let x = 27232/5 + k. Calculate the common denominator of 73/20 and x.
620
Let l = -536/1551 + -414553/20680. Let r = 665434/24405 + 3/8135. Let k = l + r. Calculate the common denominator of 41/12 and k.
24
Let j = 2906 - 904. What is the lowest common multiple of j and 11?
2002
Let z be ((-6)/(-16)*-14)/(21/56). Suppose 13*j - 17*j = -128. Let o = j + z. What is the least common multiple of o and 33?
198
Suppose -12 = c - 5*c. Find the common denominator of (-1372)/392*508/(-84) and ((-106)/(-6))/(c*1).
18
Suppose 322 = 2*p - 2*x, -41*x + 44*x = -2*p + 312. What is the smallest common multiple of p and 9?
477
Find the common denominator of (-10700)/19320 + 0 + (-2)/(-7) and -49/51.
