le of w(-61) and 1044.
9396
Let s = 43489/24 - 5440/3. Calculate the common denominator of s and 85/198.
792
Let u = 99441 + -250839. Let v be (u/(-830))/(33 + -11). Let k = v - -8/913. What is the common denominator of 45/2 and k?
10
Suppose 0 = 2*k - 3*o + 8 - 39, 0 = k - o - 13. Suppose -3*u + v - 263 = u, -3*v = 5*u + 350. Let b = -59 - u. What is the least common multiple of b and k?
8
Let c(l) = l**3 + 24*l**2 + 70*l + 174. What is the lowest common multiple of c(-16) and 10?
5510
Suppose 231*m + 5796 = 245*m. Calculate the lowest common multiple of 276 and m.
828
Suppose 15 = -4*n + 3*k, 0 = -n - 0*n - k - 9. What is the smallest common multiple of (-110)/15*9/n and (-1 - -1) + 9 + 30/(-5)?
33
Find the common denominator of 60/(-54) - (-392)/312 and -7/286.
2574
Let k(p) = -p**3 - 2*p**2 - 3*p - 6. Let u be k(4). Let v = u + 225. Calculate the lowest common multiple of v and 24.
888
Suppose 4*u - 5*u = -44. Calculate the lowest common multiple of 2 + (-73)/(-1) + (13 + 14 - 36) and u.
132
Let i be 2/(-30)*-5 + (-3800)/10824. Let k be (-22921)/(-451)*(-2)/20. Let l = i + k. What is the common denominator of l and 61/22?
110
Let v(u) = -u**3 - 7*u**2 - 6*u + 10. Suppose 0 = -18*w - 394 + 466. Calculate the smallest common multiple of w and v(-7).
52
Suppose 9*f - 55 = 14*f. Find the common denominator of 7 + (3531/45)/f and -179/30.
30
Suppose 0 = 3*t + 4 + 8. What is the common denominator of -1 + 236/(-60) - (t + 0) and -31/40?
120
Let t = 276 + -246. Let y be (0 - -21)*(-4)/(-6). Suppose -c + y = -2*x, 0*c - c + x = -10. Calculate the lowest common multiple of t and c.
30
Suppose 0 = -5*k + 7*k - 4*u - 412, 4*k + 2*u = 834. Let r = k - 4251/20. What is the common denominator of r and 47/14?
140
Suppose -6*d + 4*t + 14 = -5*d, 0 = -3*d + 4*t + 58. Find the common denominator of (-14)/d*12/14 and -51/5.
55
Let o(c) = c**3 + 22*c**2 + 54*c + 8. What is the least common multiple of o(-19) and 265?
3445
Let l(k) = -37*k**2 - 41*k - 70. Let h(q) = -13*q**2 - 14*q - 23. Let b(m) = 17*h(m) - 6*l(m). What is the smallest common multiple of 14 and b(-7)?
154
Let k = -1834/33 + 625/11. Let j = 1/181415 + -17597273/3265470. Find the common denominator of j and k.
198
Calculate the common denominator of 73/261 and 5 + (-2)/(-4)*2 + 10668/(-1836).
4437
Suppose -4*a - 4*b - 4 = 0, -3*b = 2*a - 0*b + 7. Suppose 200 = 5*v + 2*c, a*c + 64 = 2*v + 8*c. Calculate the smallest common multiple of v and 16.
336
Calculate the common denominator of -47/330 and 46 - 50 - 11505/(-2750).
1650
Let i = 11687/4 - 2945. Let z = 20169229 - 362932043/18. Let h = z + -6336. What is the common denominator of i and h?
36
What is the lowest common multiple of 3 and ((-46)/115)/(6/(-3) + 1799/900)?
360
Let s(v) = -v**3 + 7*v**2 + 5*v + 16. Let o be s(8). Let a = o + 26. Calculate the lowest common multiple of a and (-2 + 12/9)*(-9 + 3).
36
Calculate the common denominator of -61/24 and 10151/13320 - 4/5.
2664
Calculate the common denominator of (-14)/32*(39/(-1066))/((-3)/28) and 47/104.
4264
Let j = -27791579/88 - -315814. Let i = -14797/46574 - 1/2117. What is the common denominator of j and i?
88
Let y = -192 + 4625/24. Let m be ((-3)/(-6))/(3/(-606)). What is the common denominator of 3 + m/(-6) + -3 and y?
24
Suppose 0 + 2 = k. Suppose -q + 3 = -4*o, q = -3*o - k*o + 3. Suppose -3*i - 3*h + 4*h = -19, -i + 23 = q*h. Calculate the least common multiple of 4 and i.
8
Let d(t) = 2*t**2 + 5*t - 5. What is the smallest common multiple of d(-5) and -14*((700/49)/(-2) + 4 + -2)?
360
Let t = -45331/7239 - -352/57. Find the common denominator of t and 7.
127
Let o(v) = 29*v**2 - v - 2. Let g be (3/6)/((-5)/(-20)). Let n be o(g). Let i = -110 + n. What is the least common multiple of 7 and i?
14
Let l = 42/361 - 27747/5776. Let r = 3857212109297/361334730 - 2/36133473. Let d = r - 10663. Calculate the common denominator of l and d.
80
What is the common denominator of (-1000)/45750*((-87)/(-4))/3 and -58/305?
915
Let z be (-1)/1*(1 + (-1)/1). Suppose z = 2*k - 13*k + 11. What is the smallest common multiple of 322 and k?
322
Let p(v) = v**2 - v + 3. Suppose 2*k - 6 = 2*g, 7*g = k + 3*g. Let f be p(k). Find the common denominator of 0/(f/(-5)) + 11/(-100) and -47/12.
300
Suppose 2*f + 3*d = 4044, 84*f - 10100 = 79*f - 5*d. What is the lowest common multiple of f and 168?
2016
Let q be 729/15 + 6/15. Suppose 0 = 5*h + 10, 0*h + 4*h + q = -z. Let v = z + 61. What is the least common multiple of 12 and v?
60
Suppose -16*i + 224 = -588 - 276. Calculate the least common multiple of i and 1462.
2924
Let s = 1183 - 596. Let g = s - 584. Suppose -4*z = z - 35. Calculate the lowest common multiple of z and g.
21
Let y = -26690 + 48922802/1833. What is the common denominator of 89/376 and y?
14664
Let u = 5716970137821/21411530 - 483464700/1813. Let j = 3387/10 - u. Let w = j - 86273/23620. Find the common denominator of 97/10 and w.
20
Let y = 14885/12 + -6017/4. Let k = -265 - y. Calculate the common denominator of 35/12 and k.
12
Suppose -q + 6 - 8 = 0. Let g = 15/67 + -3983/134. Find the common denominator of g and (-2)/8*q - (-221)/845.
130
Let w(b) be the third derivative of -25*b**4/12 - 13*b**3/6 + 24*b**2. Let i be w(2). Let x = i + 123. Calculate the least common multiple of x and 14.
70
Find the common denominator of (9/6240)/(8 + 176/(-20))*18 and -29/312.
2496
Let u = 15 + -11. Let b be (1 - u/(-12))*3. Suppose 4*t - 3*f = 45, -3*t + 3*f + 50 = b*f. What is the lowest common multiple of 9 and t?
45
Let u(l) = l**2 - 77*l - 582. What is the smallest common multiple of 154 and u(-8)?
1078
Suppose 119*q - 160*q = -29192. What is the smallest common multiple of 22 and q?
7832
What is the smallest common multiple of 6972 and -12 - (12 + -32 + -32)?
69720
Let d = -26 - -40. Let f(a) = -107*a + 5*a**3 + 20*a**3 - 16 - 24*a**3 - 12*a**2. What is the smallest common multiple of f(18) and d?
14
Suppose 2761*f - 2758*f = 27, 0 = -3*a + 2*f + 12. Calculate the least common multiple of 3963 and a.
39630
Let w = -32853 + 65775/2. Calculate the common denominator of w and 8/(-6)*(-15)/326.
326
Let a be (-382878520)/14630 - (-2)/19. Let v = -26170 - a. What is the common denominator of v and -48/49?
539
Suppose 5*u + 0 = -5, 0 = 4*d + 3*u + 195. Let k = 40 + d. Find the common denominator of 2/11 and (k/(-6))/(5 - (-159)/(-30)).
99
Suppose -5*n + 0*v - 4*v = -347, -v = 3*n - 204. Let q = -59 + n. Suppose -q*o + 180 = -2*o. Calculate the smallest common multiple of o and 24.
120
Let r be 3/144*1353242 + -2. Let l = -28186 + r. Find the common denominator of -59/7 and l.
168
Let p = 1422 - 1348. What is the smallest common multiple of p and 20?
740
Let d = -6217/6 - -1023. Find the common denominator of 755/135 - -2 - 5 and d.
54
Suppose 2085 - 840 = 5*j + 3*s, -4*j + 4*s + 996 = 0. Calculate the least common multiple of j and 498.
498
Suppose n = -4*j - 3*n + 48, j + 4*n = 0. Let r = 13729/2 + -6832. Find the common denominator of j/2*22/20 and r.
10
Let q be (-4)/84*6 + 2403515542/55692. Let n = q - 43157. Let i = 60667/9945 + n. What is the common denominator of -7/4 and i?
20
Calculate the common denominator of 27/16 and (15/(-30600))/((-14)/2212).
4080
Suppose -3*h - 5*p + 152 = 0, 4*h - 5*p - 72 - 154 = 0. Suppose 82*c + h = 88*c. Calculate the lowest common multiple of c and 48.
144
Suppose -9*q = -8*q - 71. Let j = 189 - q. Let l(c) = 7*c - 3. What is the lowest common multiple of j and l(3)?
1062
Suppose -5*p - 11 = -6. Let i(l) = -14*l**3 - l**2 - l. Let f be i(p). Find the common denominator of 1014/84 - 7 - (-4)/f and -59/10.
70
Let q = -236 + 227. What is the common denominator of 65/32 and (q/(-10))/(1386/4515) - 3?
352
Find the common denominator of (686/(-168) - -1) + -1 + 5 and 101/558.
1116
Find the common denominator of 550/80*((-1)/(-5))/(143/110) and -79/12.
156
Let p = -3104645211/2048 + 1515940. Find the common denominator of p and -83/1280.
10240
Suppose 29*p + 6494 = 12*p. Let x = p + 400. Let v(b) = b**3 + 7*b**2 + 3*b - 8. Calculate the least common multiple of x and v(-6).
90
Calculate the common denominator of -93/400 and (27/((-648)/(-752)))/(11 + 4).
3600
Let o = -30154 - -3528040/117. What is the common denominator of 43/9 and o?
117
Let g = -5755/12 - -480.