. Let u be (-1 - -4 - 1101) + -2. What is the common denominator of 3/(-5) + c/u and -67/16?
176
Let g be (-19)/(-7) - 8/(-28). Let x(p) = 6 - 1 + 10 - g - 2*p. Find the common denominator of 68/3 and x(4).
3
Suppose 11*v = -6*v + 68. Suppose -4*b - v*w + 260 = 0, -190 = -4*b + b - 2*w. What is the least common multiple of b and 30?
60
Calculate the common denominator of -63/5594 and -4*(-3)/(-6)*(646/(-56))/(-17).
39158
Let g = 64633/3387 - -3/4516. Let c = g + -45/4. What is the common denominator of -73/2 and c?
6
Suppose -w - 2*w + s + 6 = 0, 5*s - 12 = w. Suppose 2*j + u + 15 = 0, u + 18 = -w*j - 2*u. Let i = -1 - j. What is the least common multiple of 52 and i?
104
Calculate the common denominator of (((-15)/(-380))/(9/6))/((-725)/2075) and 133/78.
42978
Let x = 3 - -5. Let m = -250656 + 250736. What is the least common multiple of x and m?
80
Calculate the common denominator of 91/80 and ((-518)/42)/(64/(-3)).
320
Let o = 4492177/1368 + -29558/9. Calculate the common denominator of o and 103/114.
456
Let u be ((-4)/(-24))/((-911)/(-3)). Let k = u + -54209/8199. Find the common denominator of 1 - ((-4)/(-16) + 50/(-24)) and k.
18
Let i = -341090 - -58326902/171. Let j = 32/9 - i. Find the common denominator of 14/9 and j.
171
What is the common denominator of (-24)/660*(-290)/(-24) and (1 - 8) + 2 + (-4)/10?
330
Let x(o) = 10*o**2 - 2*o. Let t be (-3)/15 - 9/5. Suppose 3*s + 91 = 5*r, 2*s - 3*s = 2*r - 43. What is the smallest common multiple of r and x(t)?
220
Let z be 0/((-6 + 4)/2). Suppose 7*g = -z*g + 35. What is the least common multiple of g and 34?
170
Let u be 3 + -4 - -1*17142. Let y be u*(6/4*-2)/(-3). Let v = -445589/26 + y. What is the common denominator of 3/11 and v?
286
Suppose -11*p + 17524 + 219 = 0. Let a = p - 777. Calculate the lowest common multiple of a and 10.
4180
Suppose 5*m - 2204 = -6*l + 7*l, -4*l + 445 = m. Suppose -9*s + 1089 = -m. What is the lowest common multiple of 15 and s?
510
Suppose -s + 87 = 3*c, -55*s + 229 = -51*s - 5*c. Calculate the lowest common multiple of 9 and s.
198
Let m(j) = 13*j + 9. Let b be m(11). Suppose 56*d = 58*d - b. What is the lowest common multiple of d and 18?
684
Let c(l) = l**3 + 12*l**2 + 16*l + 5. Calculate the least common multiple of (7 - 3 - 20/5) + 55 and c(-10).
495
Let f = 1/2949 - 232985/41286. Suppose 2*n = 2*a - 134, -n + 6 = 4*a + 68. Calculate the common denominator of f and (-1)/3 - 1*82/n.
154
Let m = -3889/9009 + 1/231. Calculate the common denominator of -1/13 and m.
117
Find the common denominator of -137/606 and (16/(-1010))/(3/855*1194 - 4).
1818
Calculate the smallest common multiple of -2 + -2 + (-4 - -38) and 12*(-8)/16 + 3*(-1 - -10).
210
Let f = -30515 - -3356677/110. Let j = -6983533/6455570 + -2/58687. Find the common denominator of f and j.
110
Let n be (-26875)/(-11) + (-7)/(231/6). Let s = 9871/4 - n. What is the common denominator of s and 69/112?
112
Suppose 3*w + 1937 = 12*a - 10*a, 0 = -2*a - w + 1949. What is the lowest common multiple of 11 and a?
10703
Let c(i) = -i**2 + 29*i + 40. Let y be c(30). Suppose 0 = g - 3*t + 8, -3*g + 32 = 5*t. What is the common denominator of (-102)/(-10)*y/4 and g?
2
Let j be (1 + 18/4)*-193. Let y(s) = 3*s**2 + 51*s - 14. Let r be y(-29). Let o = r + j. What is the common denominator of o and -75/8?
8
Let o(d) = d**2 - 13*d + 6. Let i be o(13). Suppose -49 = i*r + 41. Calculate the common denominator of (-3)/(-5)*r/114 and 143/18.
342
Calculate the smallest common multiple of 14 and (304/6)/(-4)*40/((-880)/10758).
43358
What is the least common multiple of 160 and (-466776)/(-1080) + (-1)/5?
4320
Let q(j) be the third derivative of j**4/12 + 11*j**3/6 + 5*j**2. Let m be q(-12). Calculate the lowest common multiple of 12 and ((-2)/7)/(m/91).
12
Let u = 1084237/78 + -13893. Let m = u + 1/39. Calculate the common denominator of m and (-4)/(-6) + (-338)/(-168).
28
Let z = -14/37 - -847/185. Calculate the common denominator of 13/36 and z.
180
Suppose 0 = 7*c + 3355 - 3964. Calculate the lowest common multiple of c and 116.
348
Suppose 0 = 17*c - 20*c + 234. Calculate the least common multiple of c and 130.
390
Suppose -3*j + 1918 = 2*k, 22*j = 24*j + 3*k - 1272. Calculate the smallest common multiple of j and 642.
642
Let v(h) be the third derivative of h**5/60 + h**4/24 - h**3/2 + 8*h**2. Let j be v(2). Suppose j*o - 16 - 8 = 0. What is the least common multiple of o and 2?
8
Calculate the common denominator of 71/245 and (-741)/(-17052) + 32/(-464) + 0.
980
Find the common denominator of (1860/206150)/((-1 - -3) + 162/(-80)) and -127/364.
6916
Let y = 3076 + -25. What is the lowest common multiple of y and 565?
15255
Let s be (3 - 51/16)*(-6856)/20. Let q = 459/8 - s. Calculate the common denominator of q and 1/11.
110
Suppose 2*v + t - 408 = 556, 4*v = 4*t + 1928. Suppose 32*r = 574 + v. Let x = -2 + 5. What is the smallest common multiple of x and r?
33
Suppose 0*d = 2*d - 4514. Let q = d + 2744. Let s = -99999/20 + q. What is the common denominator of 71/88 and s?
440
Let n = 308/1747 + -395611/807114. What is the common denominator of n and -13/693?
1386
Calculate the common denominator of ((-152)/(-17292))/1 - (-12)/(-66) and -149/12.
1572
Let d be ((-2)/(-30))/((-64)/(-9568880)). Let i = 9958 - d. What is the common denominator of i and ((-26)/(-162))/((-25)/75)?
108
Suppose 0 = 3*o - 3*i - 0*i - 21, -4*i = -5*o + 33. What is the smallest common multiple of 144 and o/(-4)*4*(-2 - 0)?
720
Let w = 3440087/284 + -12113. What is the common denominator of w and 43/355?
1420
Let j(z) = -4*z + 35. Let x be j(8). Let w be 3 + x + 120/(-2). Find the common denominator of 137/30 and 4/w*(-1 + -97 + 2).
90
Let w(o) = -o + 1066. Calculate the least common multiple of w(18) and 2227.
17816
Let p = -20 + -10. Find the common denominator of 61/9 and 150/(-306) + (3 - p/(-9)).
153
Let r = 502129960247/121325087455 - -1688/6408805. Let i = r - 9/3442. What is the common denominator of i and -27/22?
22
Let t(w) = 12106*w - 1. Let l be t(1). Let q = l + -326780/27. Find the common denominator of q and 12/(121 + -1) - (-4 - (-938)/(-120)).
108
Let w be 622/4 - (-9)/18. Suppose -224 + 188 = 4*y. Find the common denominator of (w/16)/(y + 0) and 58/33.
132
Suppose 0 = -4*i + 2*u + 114, -5*i - u + 139 = -0*i. What is the smallest common multiple of i and (3/27 - 1)*(-258 - -240)?
112
Let m = 160 + -98. Let n = -5161 + 5167. Calculate the least common multiple of n and m.
186
What is the common denominator of (-162)/(-10080) + (-2 - 3)/(-40) and -3/560?
560
Find the common denominator of (2/30)/(4576/(-24200)) and 131/540.
7020
Suppose 5*f = y - 22, 8 - 66 = -5*y - f. Let p = 193252 - 193222. Calculate the smallest common multiple of y and p.
60
What is the least common multiple of (-28)/56 - (-62)/4 and 1227?
6135
Suppose 16*q - 103 = 93 - 4. What is the least common multiple of q and 552?
552
Let x = 863/12 + -17581/240. What is the common denominator of 77/600 and x?
1200
Suppose b + 5 + 19 = n, -2*n = -4*b - 34. Calculate the lowest common multiple of n and 69.
2139
What is the common denominator of 6/880*294024/252 - (6 + 2) and 139/12?
4620
Let z = 3069 - 64495/21. Let p = -169 + 61. Calculate the common denominator of z and (-1 - p/15)/(12/(-10)).
42
Suppose 0 = 25*a + 2364 - 2903 - 6211. Calculate the lowest common multiple of 441 and a.
13230
Let n(b) = 5*b + 69. Let j(z) = -z**2 + 14*z + 19. Let i be j(16). Calculate the smallest common multiple of n(i) and 10.
20
Let j(h) = 7*h + 1033. Calculate the least common multiple of j(-23) and 1090.
4360
Let q be 1 - (2 - 5 - -27). Let k = -20 - q. Let o(f) = 121*f - 361. Calculate the least common multiple of k and o(3).
6
Let g(u) = 34*u - 984. Calculate the lowest common multiple of g(29) and 44.
44
Let b(l) = -2*l**2 + 71*l - 62. What is the least common multiple of 15 and b(14)?
540
Suppose 9*s + 1081 - 1126 = 0. Calculate the smallest common multiple of 30 and s.
30
Let u = -151/11110 - -213/404. Find the common denominator of -55/24 and u.
1320
Let j = 608/7 + -130649/1512. What is the common denominator of j and 41/594?
2376
Let v = -3362 + 3376. Suppose 2*c = 1 + 3. Calculate the least common multiple of v and c.
14
Let v = 547/300 + -88/75. Let c = 1160101/6