660 + 86/55. Let d(p) = 9*p + 39. Let v be d(-9). Calculate the common denominator of z and (-12)/v - 233/(-42).
12
Let u = -160003667763 + 9065807815788867/56660. Let s be (-5 - -4)*24/(-8499). Let r = s - u. What is the common denominator of -1/18 and r?
180
Suppose -2 - 3 = -5*i, 5*m = 2*i + 18. Suppose 2*a - r = -0*r + 84, 0 = -4*a - m*r + 144. Calculate the least common multiple of 30 and a.
120
Let r(q) be the first derivative of q**2 - 19 + 0*q**3 - 1/4*q**4 + 9*q. Calculate the lowest common multiple of 27 and r(-3).
270
Suppose -45*f + 42*f + 33*y + 327 = 0, y = -4*f + 31. Calculate the least common multiple of -1 + 171 - (1 - 2) and f.
1710
Suppose 0 = -15*t + 818 + 2422. Calculate the lowest common multiple of t and 216.
216
Suppose -16*a = j - 23*a + 6, 0 = -3*j + 5*a - 2. Let b = 1 - -3. Calculate the smallest common multiple of 5 + b - (-1)/j - 4 and 27.
54
Let w = -148147/15 - -9880. Let u = 623881/130 + -62340/13. What is the common denominator of u and w?
30
Suppose 3*d - 5*h - 39 = 0, -5*h = -5*d + 4*d + 23. Let a(z) = 22*z - 19. What is the smallest common multiple of a(5) and d?
728
Let p = -16403 + 3067410/187. Find the common denominator of 40/799 and p.
8789
Let r = -457877300714/44017954785 + -176/9141839. Let x = r + 2/963. Find the common denominator of -18/25 and x.
25
Let j = -3 + 2. What is the common denominator of 45/75 + 2601/(-1485) and j/(-3) - 74/21?
231
Calculate the common denominator of (-6 - (-11)/((-2970)/(-1630)))*(-139)/10 and 58/21.
1890
Let k = -16867 - -404717/24. Calculate the common denominator of 68/249 and k.
1992
Let i(t) = -280*t - 1100. What is the least common multiple of 1810 and i(-4)?
3620
Let z = -180 - -202. Calculate the common denominator of (102/z)/(-7 - -2) and -29/9.
495
Let t = 1188334/11 - 107936. Let b = -5573/2 - -2688. Let z = t + b. Find the common denominator of z and 67/12.
132
Let z(q) = -2*q**3 + q**2 - 3*q - 1. Let o be z(-1). Suppose 0 = 5*j, -240 = -o*m + 4*j - 3*j. Calculate the least common multiple of 15 and m.
240
Calculate the common denominator of (0 - 15/(-200))/((-2410)/(-1160) + -2) and (18/(-40))/((-21)/(-46)).
210
Suppose 6*x - 1 = 2*x - 5*w, -4*w - 28 = -4*x. Suppose r - 322 = 5*f - 911, 0 = -r - 4. What is the lowest common multiple of 10 and -1 - (x + -5)*f?
580
Let w(g) = -38*g**2 + 151*g + 9. What is the smallest common multiple of 1855 and w(4)?
1855
Let c = -142864235311/402 - -710758755/2. Let o = c - -12875/3. Calculate the common denominator of o and 44/9.
603
Let a = 2066474/11 - 32657475/176. Let o = 11534/5 - a. What is the common denominator of o and 61/44?
880
Let g be (-38)/(-5) - (-52)/130. Let c = 34 - 4. Calculate the least common multiple of g + 28 + (-4 - 5) and c.
270
Let x = 28 + -25. Suppose 0 = x*y + 4*s - 80, -2*s - 9 = -y + 11. Let v = y + -22. What is the lowest common multiple of 3 and v?
6
Suppose -p - u = 0, -3*p + 4*p = -2*u - 2. Suppose 4*x - 84 = -4*k, -p*x + 4*k + 34 - 4 = 0. Calculate the smallest common multiple of x and 4.
76
Let p(m) = -3*m - 4. Let x be p(-2). What is the common denominator of 13/114*-3 + x and (-2 - 21)*(-2)/28?
266
Calculate the least common multiple of (-2800)/(-160)*(-2)/(-7) and 79.
395
Let o be 1/(4/8067)*4/174. Let h = 3571/29 + -123. Let p = h + o. Find the common denominator of 1/2 and p.
2
Suppose 2*f = -15*b + 17*b - 120, -4*b = -5*f - 246. What is the smallest common multiple of b and 99?
594
Let o = 37 - -305. Calculate the common denominator of 20/100 + o/(-260) - 3 and 13/98.
1274
Let v = 1420604883619/4110 + -345645959. Let j = 5/274 - v. What is the common denominator of j and 38/81?
405
Let a be 4 + ((-1)/2)/((-12)/1896). Suppose 7*w - 10*w + 38 = 5*x, 3*w - 4*x - a = 0. What is the least common multiple of w and 45?
315
Let h(q) = -q**2 - 5*q**3 - 4*q**2 - 2*q + 6 + 4*q**3 + 4*q**2. Let f be -6 + 40/7 + (-8)/(-28). Calculate the lowest common multiple of h(f) and 88.
264
Let d(r) = -1 - 2*r + r - 5 + 3*r. Let n be (-1)/(63/(-333)) - 4/14. What is the lowest common multiple of 22 and d(n)?
44
Let x = 7 - 4. Suppose 0 = -0*k + x*k - 42. What is the lowest common multiple of k and 8/(-3)*(-3 - 33 - 3)?
728
Let p(g) = -g**2 - 7*g + 4. Let z be p(5). Let i be (-59)/(-7) + 24/z. Suppose i*w = -w + 135. Calculate the lowest common multiple of 24 and w.
120
What is the common denominator of 43/276 and (-710)/2208 + (-7154)/(-876) + -8*1?
1104
Let c = -246182887/458 + 537517. Find the common denominator of c and -1 - -59*(-1)/(-2).
458
Suppose -8*x - 157 = -9*x + 2*y, -4*x - 4*y + 604 = 0. What is the smallest common multiple of x and 153?
153
Calculate the common denominator of ((-2016)/17496)/(-4)*(-2)/(-5)*(-32 - -2) and (10/(-18))/1*1.
81
Let r be (61/(-183))/(1/705). Let p = 241 + r. Calculate the least common multiple of 8 and p.
24
Let i = -304 + 676. Find the common denominator of (-6)/24 + 1/(i/267) and 35/8.
248
Let i = 6511/18525 - 23/325. Let u = -62828/15 - -4193. Find the common denominator of i and u.
285
Let n = 0 - -9. Let w be (182/(-21))/((-3)/n). Suppose -4*c - 28 = -4*i, -i + 3*i = -4*c + w. Calculate the smallest common multiple of i and 33.
99
Suppose 0 = 3*t + 2*x + 16, -t = t + x + 9. Let o = 13157 + -13159. What is the common denominator of 83/44 and t - o - 139/12?
132
Let a = 3128207/875140 + -1/18620. Let j = 2225/846 - a. What is the common denominator of j and -91/76?
684
Suppose 5*a = -4*g + 7605, -30*g - 5*a - 3795 = -32*g. Calculate the common denominator of (-5548)/g*10/16 and -69/100.
200
Let t = -7614 + 7622. Suppose -2*m + 8 = -0*m. What is the smallest common multiple of t and m?
8
Find the common denominator of 73/70 and (590/(-108))/(65/(-39)).
630
Let p = -44215 + 3846769/87. Find the common denominator of -8/3 and p.
87
What is the common denominator of (-52)/39 + (-56)/66 and (-2)/9 + (-6014)/(-10323)?
1221
Let o = -423343/3509 + 3515/29. Let h = o + 10907/3630. Find the common denominator of h and -119/24.
120
Let n(t) = -t**2 + 3*t - 8. Let f(v) = 6*v**2 - 14*v + 33. Let w(p) = 2*f(p) + 9*n(p). Calculate the least common multiple of w(-3) and 96.
96
Let a = 2822 - 1334. What is the lowest common multiple of 9 and a?
4464
Let v(z) = -z**3 - 7*z**2 - 12*z - 9. Let x be v(-5). Let o be (14173/(-20))/x + 6/24. Let f = o - -721. Calculate the common denominator of f and 35/11.
55
Let w = -48/5 + 267/20. Let d(m) = 2*m + 8. Let r be d(-7). Find the common denominator of w and (r/(-15))/(15/25).
12
Suppose 13*w + w = -2940. Let d be 3967/(-4) - 27/(-36). Calculate the common denominator of -113/6 and 4/(-14) + d/w.
30
Let s = 77624 + -3260365/42. Calculate the common denominator of s and -17/126.
126
Let v = 32 - 20. Let s = -1110 + 1118. What is the least common multiple of v and s?
24
Suppose -4 = -4*f - 2*b + 2, 5*f - 5 = -3*b. Suppose -f*x + 0*x = -48. What is the smallest common multiple of x and 66?
132
Suppose -4*h - 3*l = -8*l + 9, -45 = -5*h - 5*l. Let p = 91279/10 - 9117. Calculate the common denominator of p and ((-712)/(-200))/(h/(-10)).
10
Find the common denominator of 46/141 and 3 - 2/2 - ((-1356)/144 - -11).
564
What is the common denominator of ((-8470)/1862 - (-21)/6) + (-6)/(-4) and -15/38?
266
Let m(q) = q**3 + 19 + 54 - 53 + 6*q**2 + 7*q. Let r be m(-6). Calculate the common denominator of -99/32 and (-4)/(32/r)*22/(-10).
160
Let b(h) = h**2 + 35*h + 316. Calculate the smallest common multiple of 600 and b(-17).
600
Suppose 3*q - 921 = -3*a, 0*q + 4*a + 1544 = 5*q. What is the least common multiple of 770 and q?
1540
Let v(t) = t**3 + 3*t**2 - 4*t + 5. Let b be v(-4). Suppose -45 - 28 = -3*n + b*q, -15 = 3*q. Let j = n + -8. What is the least common multiple of j and 8?
8
Suppose -5*v - 382 = -2*f + 380, -4*v - 8 = 0. Calculate the smallest common multiple of f and 28.
2632
Let i(n) = -142*n - 555. What is the least common multiple of i(-6) and 729?
8019
Let d(g) = -g**2 - 16*g - 6. Let h be d(7). Let l = h - -177. What is the lowest common multiple of 55 and l?
110
Let s be ((-18796)/16)/(15/2). Let l = s + 158. Find the common denominator of 5/8 and l.
120
Calculate the common denominator of 5/(-18)*(19 - (-7344)/(-320)) and -23/1008.
1008
Suppose 46*x - 6159 - 31653 = 0. What is the least common multiple of x and 20?
8220
Sup