029/10. Find the common denominator of 1/((-615)/(-115) - 2) and p.
770
Suppose 120 = -4*l - 4*o, -7*o = -3*l - 11*o - 89. Let d(f) = -10*f - 245. What is the smallest common multiple of d(l) and 78?
390
Let d = -79 - -102. Suppose -d*k + 6 = -20*k. Calculate the least common multiple of k and 270.
270
Calculate the smallest common multiple of (((-250)/(-30))/5)/((-1)/(-189)) and 35.
315
Let f = -77 - -99. Calculate the common denominator of 3/19 + f/(-44) and 121/20.
380
Let p(m) = 13*m - 1. Let y be p(2). Let s = y + -7. Calculate the common denominator of -53/27 and (0 + 67/(-2))/(s/4).
27
Suppose -36*v + 3*m = -38*v + 41, m + 93 = 6*v. What is the least common multiple of 368 and v?
368
Let n(l) = -2*l + 4. Let u = -137 + 159. Suppose -2*z + 5 = 2*m - 3, -4*m + u = z. What is the smallest common multiple of m and n(-6)?
48
Suppose 34*h - 413 = 13*h + 2674. Calculate the smallest common multiple of 2009 and h.
6027
Let o(n) = n - 18. Let h be o(18). Suppose h = -4*r + r + 9. Suppose -r*u - 2*s = -s + 75, 129 = -5*u - 3*s. What is the common denominator of u and 37/44?
44
Let i = -1103/3 - -79399/216. Calculate the common denominator of 5/288 and i.
864
Calculate the common denominator of 97/2 and 12 + (-537207)/25553 + 9.
4646
Let f(u) = 8*u**2 + 8*u - 3. Let h be f(-4). Suppose 3*d = -2*t + h, 12 = -t - 3*d + 63. Calculate the lowest common multiple of 18 and t.
126
Let v = 18 - 22. Let x be -102*(v + 39/9). Let k = x - -44. What is the lowest common multiple of k and 4?
20
What is the lowest common multiple of 369 and (-5 - -291) + (2 - -6) + -7?
2583
Suppose 0 = 5*b + 51 - 121. Let w(u) = -5*u - 93. Suppose -125 = 5*r - 4*k, -3*r - 3*k - 83 = -7*k. What is the least common multiple of b and w(r)?
84
Let q(v) = -3*v**3 - 92*v - 525. Let s(g) = -g**3 + 6*g**2 + 4*g - 4. What is the least common multiple of q(-4) and s(6)?
140
Let z(h) = 12*h - 20. Let j be z(7). Let k = -57 + j. Let v(c) = c - 1. What is the lowest common multiple of v(k) and 6?
6
Let r(s) = -22*s - 147. Let d be r(-7). Suppose d*x - 7 = 7. What is the smallest common multiple of 9 and x?
18
Suppose 0 = 3*u - 5*n + 1091 - 1211, -2*n - 84 = -2*u. Calculate the lowest common multiple of u and 590.
5310
Let i = -37956/13 + 2917. Let u = 1331 + -1448. Calculate the common denominator of (13*(-1)/u)/((-1)/(-32)) and i.
117
Let g = -17 + 18. Let h be 3/(2 - 0 - g) - -1. Suppose -h*d + 50 = 2*b + b, 60 = 4*b + 4*d. Calculate the least common multiple of 11 and b.
110
Let t = 6883/1194 + 2/995. Let c be 137360/(-754270) - (-7)/((-77)/(-2)). Let w = -438842/20571 + c. Calculate the common denominator of t and w.
30
Let l be (15/(-12))/(-1)*86. Let p = 939/8 - l. Calculate the common denominator of 782/(-42) + 12/42 - -1 and p.
24
Let v(y) = y**2 + 4*y + 3. Calculate the lowest common multiple of 1854/24 - (0 - 2/(-8)) and v(-8).
385
Let p = -5427/6376 + -19/797. Let h(a) = a - 7. Let j be h(-5). What is the common denominator of p and j/(-2)*(-38)/20?
40
Let q = 9454982071/633026051412 + -2/65206639. What is the common denominator of -79/6 and q?
9708
Let c(f) = 96*f - 104. Let x be c(2). What is the smallest common multiple of ((-8)/(-6))/(x/396) and 42?
42
Let l(f) = 52*f**2 + 53*f - 112. Calculate the smallest common multiple of 4635 and l(3).
4635
What is the least common multiple of 104 and ((-1590)/(-424))/((-10)/(-96))?
936
What is the common denominator of -52/55 and -4 - 0 - 1023/665*(-152)/57?
7315
Suppose 2*o - 5631 = o + 2*t, 2*o - 11252 = 2*t. Let j = o + -56117/10. Find the common denominator of -37/50 and j.
50
Let r(k) = k**3 - 8*k**2 + 7*k + 14. Let i be r(7). Suppose l + i*l - 630 = 0. Find the common denominator of -181/30 and -14*2*l/(-528).
330
Let r be (4/8)/(18/(-811)). Let n = -25/9 - r. Let h = 1171/9 - 10639/90. What is the common denominator of n and h?
20
Let a(t) = 2*t**3 - 156*t**2 - 72*t - 144. What is the least common multiple of a(79) and 200?
26600
Let n = -6744 + -2366. Let d = n - -91211/10. What is the common denominator of d and -7/5?
10
Let u = -2/72111 - 1898815/3893994. What is the common denominator of 149/1656 and u?
14904
Let g(y) = y**3 + 39*y**2 + 4. Let n be g(-39). Suppose -5*s + t = -n*s - 59, -74 = -s - 2*t. Calculate the lowest common multiple of 88 and s.
704
Let l = 44580 - 445781/10. Let b(w) = 125*w**3 + 7*w**2 + 5*w - 7. Let h be b(-5). Let y = h - -216651/14. What is the common denominator of y and l?
70
Let r = -43 - -53. Suppose 2*y - r = -i + 86, -2*y - 5*i + 88 = 0. What is the lowest common multiple of 28 and y?
196
Let x(v) = -6*v - 258. Let p be x(-8). Let f = -11 + 21. What is the lowest common multiple of (21/(p/8))/(2/(-160)) and f?
320
Suppose 45 = t - 23. Let i be ((-2 - -1)*-1)/(43/(-29541)). Let y = 689 + i. What is the lowest common multiple of t and y?
68
Suppose 719 = -11*a + 2875. What is the least common multiple of 70 and a?
980
Let t(c) = -14*c**2 + 15*c - 15. Let d be t(1). Calculate the common denominator of 56/(-198)*(-24)/d and 83/306.
3366
Let p = -82 + 413/5. Suppose -2*j - 5*m = -21399, -3*j + 2*m + 32161 = -3*m. Let f = j - 171473/16. Calculate the common denominator of p and f.
80
Let v = 129384197/4762961 - 25134/1301. Let t = -6/523 - v. Find the common denominator of -28/5 and t.
35
Let f = 56/10683 - 440177/1773378. What is the common denominator of 21/166 and f?
498
Suppose 3*r + 5*h - 185 = 0, -3*h + 67 = 2*r - 57. Suppose 34 = -5*a + 259. What is the smallest common multiple of r and a?
585
Let d(g) = -g**3 - g**2 + 6*g - 8. Suppose -38 = -5*r + i, 11*r - 12*r + 2*i = -4. Calculate the smallest common multiple of d(-4) and r.
16
Let p = -3732 - -5202. What is the smallest common multiple of 1029 and p?
10290
Suppose 0 = 863*q - 867*q - 20. Let z(j) = -j**3 - 2*j**2 + 7*j - 7. Calculate the lowest common multiple of z(q) and 18.
198
Suppose h - 1164 = -2*o, -703 = -5*o - h + 2213. Calculate the lowest common multiple of 56 and o.
4088
Suppose -4*p - 2*m = -20, 0 = p - 36*m + 38*m + 1. Suppose -4*u = 4 - 44. What is the lowest common multiple of p and u?
70
Let v = -1266/1829 + 26384448/20119. Let w(u) = -u**2 - 1312. Let l be w(0). Let a = v + l. What is the common denominator of a and -17/10?
110
Suppose 51*j = 55*j + 28. Calculate the least common multiple of (3 + 13 - -3) + j and 18.
36
Let b = -11831 + 11977. Calculate the smallest common multiple of 42 and b.
3066
Let r = 18/1693 - -92971/13544. Calculate the common denominator of -63/2992 and r.
2992
Suppose 16 - 2 = 2*o. Suppose 2*i = 281 + o. Calculate the lowest common multiple of 20 and ((-2)/2)/((-9)/i).
80
Let x(z) = -2*z**3 - 78*z**2 + 7*z + 66. Let d be x(-39). What is the common denominator of ((-1)/(-42))/((d/(-612))/(-23)) and 67/3*(-1)/3?
63
Suppose -s - 3*q = 2986, 15015 = -5*s + q + q. Let p = 3/13768787 - -1362917149883/454369971. Let f = p + s. Calculate the common denominator of 151/24 and f.
264
Suppose 4*s - 4*h = 4236, -69*s + 2142 = -67*s + h. Calculate the smallest common multiple of s and 97.
1067
What is the smallest common multiple of 176 and (-19)/(152/(-1176)) + -3?
1584
Suppose 0 = 38*o - 40*o + 10. Suppose r + r + 24 = -o*f, -4*r - 6 = 3*f. Find the common denominator of 28/9 and (-94)/(-16)*f/36*4.
36
Let c = 89 + -65. Suppose 0 = 5*w + b - 50, -2*w - 1 + c = b. Calculate the smallest common multiple of 385 and w.
3465
Let n(y) = -y**3 + 31*y**2 - 27*y - 86. Let z be 35/1 - 25*(-4)/(-20). What is the lowest common multiple of n(z) and 137?
548
Let d = -9201541/170 - -54126. Calculate the common denominator of d and -115/408.
2040
Suppose 2*l + 10108 = -2*l. Let n = l + 60737/24. Calculate the common denominator of 133/78 and n.
312
Let q be 538/12 - (156/(-42) - -4). Let r = q - 106481/2436. Calculate the common denominator of 67/16 and r.
464
Let q = 33 - 65. Let l = q - -70. Suppose l*c = 34*c + 88. Calculate the smallest common multiple of 8 and c.
88
Let a = -96367/900 - -2772/25. Find the common denominator of a and 73/162.
324
Let h = -1192650 + 7156007/6. What is the common denominator of (-2982)/9880 - (-2)/5 and h?
2964
Suppose 343 = 5*m - b, -m - 2*m = -5*b - 197. Suppose -6*d + 231 = m. What is the least common multiple of 6 and d?
54
Let y = -3412 + 3505. What is the least common multiple