144. Calculate the common denominator of 19/44 and t.
220
Let r be 1/(-1) + 1472 + 2. Suppose -29*f + r = -325. Suppose -5*c + 6 = -14. What is the smallest common multiple of c and f?
124
Let y(k) = -89*k**2 + 4*k + 11. Let p be y(7). Let r = 626682/145 + p. Find the common denominator of r and 5/4.
580
Let y = -205747/108000 + -4/3375. Calculate the common denominator of (-2)/20*3815/70 and y.
160
Suppose 10*f + 13230 = -39*f. Find the common denominator of 286/f - (-4)/3 and -119/90.
270
Let k = 505571/40 - 12638. Find the common denominator of -25/932 and k.
9320
Let q be (-9 - 520/(-50))*(-5)/(-1). Suppose -q*v + 22 = 4*v. What is the smallest common multiple of 6 and v?
6
Suppose -3*n + 4*k = 3*k - 30, -4*n + 27 = 3*k. Suppose 2*p + 12 = j, -9*j - 7*p + 3*p + 152 = 0. What is the lowest common multiple of j and n?
144
Let q(n) = n**2 - n + 4. Let v(r) = -r**2 + 2*r - 4. Let l(h) = -5*q(h) - 6*v(h). Let c be l(6). Find the common denominator of -137/24 and (-1135)/150 - c/5.
24
Let q = 5477/7310 - 3/215. Calculate the common denominator of 63/(-2 + (-2 - 0)) and q.
68
Let n be (-3 - (-116)/40)/(4/(-40)). Find the common denominator of (-34)/16*4/15 and (-5)/n + -52*(-30)/324.
270
Let f = -491226349 - -8771337699895/17856. Let d = f - -23/576. What is the common denominator of d and -43/3?
93
Find the common denominator of (-1224)/255*8/345 and 43/15.
1725
Calculate the common denominator of 91/40 and ((-213)/(-441))/(31/4 + 6/24).
5880
Suppose 0 = -6*y + 11*y - 565. Let a = -77 + y. Calculate the common denominator of 37/3 and a.
3
Let d = -3625 + 3823. What is the least common multiple of d and 1716?
5148
Suppose -18*n = -11068 + 718. Let f = 645 - n. What is the smallest common multiple of f and 50?
350
Let b = 1323 - 3803/2. Let o = b - -568. Find the common denominator of (-2)/(-3) - (-1278)/(-324) and o.
18
Suppose -674 = -3*h + 10990. Let w = h - 38967/10. What is the common denominator of 35/418 and w?
2090
Suppose 5 = 2*q - q. Suppose -q = 3*a - 38. Suppose 0 = 14*i - 220 + 10. Calculate the least common multiple of i and a.
165
Let d = -7529/234 + 1246/39. What is the common denominator of d and -13/1476?
19188
Let l = 442 - 438. Suppose -1548 = -39*k - l*k. What is the smallest common multiple of k and 6?
36
Let t = -8/11 + -337/66. Calculate the common denominator of t and (-1 + 4 + -4)/((-19)/((-1938)/276)).
138
Let q(d) = -226*d**3 - 228*d**3 + 8 + 16*d + 10*d**2 + 455*d**3. What is the least common multiple of q(-8) and 54/15*10/3?
24
Let s be ((-1440)/10)/12 + 7. Calculate the common denominator of ((-68)/16)/((-2)/s) and (-4)/(-10) + 278/(-95).
152
Let h(b) = 20*b**3 + 2*b + 3. Let y be h(-2). Let k = 585 + -607. Calculate the common denominator of 10/60*y/k*2 and -15/2.
66
Let m = -26 + 48. Suppose -5*p = m - 62. Suppose 2*t + 4 = p. What is the least common multiple of t and 14?
14
Find the common denominator of (-20)/(-190) - 30443/275310 and 53/138.
2070
Let f = 21 - 15. Let g = 9 - 4. What is the lowest common multiple of 146/f - 3/9 and g?
120
Suppose 11*d = 8*d - 333735. Let r = d + 452857/4. Let f = r - 1988. Find the common denominator of f and 5/6.
12
Find the common denominator of 55/5736 and (0 + (-3)/5)*-85*22/47124.
40152
Let h = 4166 - 2050. Calculate the lowest common multiple of h and 36.
19044
Let h = 37077368/73 + -115536435009/227468. Let m = -4/779 - h. Let s = 115 + -299/2. What is the common denominator of m and s?
4
Calculate the common denominator of -41/16 and (84060/1350 + 2/5)*(-2)/(-1152).
432
What is the smallest common multiple of 13*(12 - (-300)/(-26)) and 250?
750
Calculate the common denominator of 1/150 and 6574/1805 + -10 + 6/1.
2850
Let n be 35/(-28) - (-25)/4 - 4. What is the smallest common multiple of 162 and n*((-2)/1 - -1*6)?
324
Let y(s) = 18*s + 50. Let m be y(-6). Suppose x + 115 = 9. Let o = m - x. What is the smallest common multiple of o and 16?
48
Let b = -9974927/9435 + 49/1887. Let m(t) = 1063*t**3 + 8*t**2 - 11*t + 3. Let z be m(1). Let p = b + z. Calculate the common denominator of p and 77/4.
20
Let o = -17123 - -102863/6. Find the common denominator of 2/541 and o.
3246
Suppose -4*b - 3*c - 7185 = 0, c = -2*b + 6*c - 3625. Let n = b + 2984. Let i = n - 11827/10. What is the common denominator of -36/7 and i?
70
Let k = 836175/92 + -9089. What is the common denominator of k and (-504)/(-24) + 647/(-32)?
736
What is the common denominator of -91/4 and ((-4545)/40500)/101*(50 + -1)?
900
Let k be -4 + (-74)/4 + (-6)/(-4). Find the common denominator of 91/74 and 2/14 + (-256)/k - -4.
222
Let o = 3146393/4983 - 6945/11. What is the common denominator of o and 179/30?
4530
Let t = 15923 + -15911. Suppose 4*q = -0*q + 60. What is the lowest common multiple of t and q?
60
Let a(o) = -o**3 + 36*o**2 - 224*o + 6. Let h(u) = u**2 - 3*u - 2. What is the smallest common multiple of a(8) and h(5)?
24
Let w = 325 + -1955/6. Let t = 13577/20477919 + 1/8059. Let l = -52520/7623 + t. Find the common denominator of w and l.
18
Let s(i) = -798*i**2 + 5*i - 7. Let c be s(-7). Let a = c + 20561. Let y = -408747/22 - a. Calculate the common denominator of -57/14 and y.
154
Let l(x) = 2*x**3 - 1. Let q be l(1). Let u(n) = 12*n**2 - 3*n + 2. Calculate the smallest common multiple of u(q) and ((-3)/2)/(51/(-68)).
22
Suppose -153 = 4*i - 465. Suppose 161 = 3*m - 55. Suppose i = 10*s - m. What is the least common multiple of 24 and s?
120
Let m = 6 - -3. Suppose -26 = -5*v - 1. Suppose v*l - 15 = g, l + 1 = -l - g. What is the smallest common multiple of m and l?
18
Let g = -74 + 79. Suppose g*n = 3*j - 110, 3*n + 64 = 2*j + 2*n. Calculate the least common multiple of j and 6/(-1 + -3 - 5/(-1)).
30
Let n(q) = 2*q**2 - 3*q + 119. Let m be n(0). Suppose -21*r = -m - 133. Let x(y) = 6*y - 7. Calculate the least common multiple of x(3) and r.
132
What is the least common multiple of 6 and (58/15 + (-8)/(-10))/(30/10305)?
9618
Let y(o) = 359*o + 5. Let w be y(5). Suppose 21*c = 36*c - w. Calculate the lowest common multiple of c and 16.
240
Let i = 1405087 + -1798511251/1280. What is the common denominator of -61/224 and i?
8960
Let m(z) = -z**3 - 5*z**2 + 12*z - 29. Let t(g) = -g**3 - 6*g**2 + 11*g - 28. Let f(a) = -4*m(a) + 5*t(a). What is the least common multiple of 5 and f(-11)?
20
Suppose 0 = 57*p - 21455 - 47629. What is the smallest common multiple of p and 24?
2424
Suppose -b = r - 89, 527 - 175 = 4*b + 2*r. Calculate the smallest common multiple of 435 and b.
435
Find the common denominator of (-6)/24 - (-217)/(-12) and 24/2191.
6573
Let b = 5 + -8. Let y be (-20393)/b*11*4/28. Let o = y - 10678. Find the common denominator of o and 107/18.
126
Let g = -23 + 27. Suppose 18*i = -g*i + 528. Calculate the smallest common multiple of 54 and i.
216
Let g = -60 - -70. Let f = -51241/5064 - 4/633. What is the common denominator of f and (1 - 9/g)/((-85)/230)?
680
Let b(h) = 3 + 12 - 3*h - 19. Suppose -4*d = 3*g - 11, 3*g + 0*d + 7 = 5*d. Calculate the lowest common multiple of b(-4) and g.
8
Let o be (90/(-60))/((-3)/8). Suppose 4*j + o*z = 112, -2*z + 55 + 29 = 3*j. What is the least common multiple of j and 10?
140
Let z = 88183227 + -394796304461/4477. Let r = z - 50/121. Find the common denominator of 28/11 and r.
407
Suppose 25210 + 43899 = 150*o - 30791. What is the smallest common multiple of o and 888?
2664
Suppose 5*b - w - 795 = 0, -2*b - 3*w = -4*b + 331. Suppose 164*f - b*f - 108 = 0. Calculate the lowest common multiple of f and 202.
1818
Let q = -7752465841/3760 + 2061826. Calculate the common denominator of q and 31/20.
3760
Let b = -8952/5 - -3321222/1855. Let g = -25/5325892 - -40346341221/9879529660. Let u = b + g. Calculate the common denominator of -83/16 and u.
80
Let f = 7978406/7113 + 3/2371. Let a = f - 1101. Calculate the common denominator of (-6)/(-21) - (-862)/(-910) and a.
195
Let r(y) = y**3 + 6*y**2 + 7*y + 5. Suppose -76495 = -39*j - 72868. What is the lowest common multiple of j and r(-4)?
279
Suppose 1164 = -22*p + 16*p. Let h = p + 242. What is the smallest common multiple of 54 and h?
432
Let o = 832 + -453. Let w = 391 - o. Calculate the smallest common multiple of 72 and w.
72
Let f = 335931/20 + -16792. Find the common denominator of 470/420*(-98)/168 and