and (77/308)/(27/786).
198
Let v(b) = -3*b**3 - 3*b**2 + b + 19. Calculate the smallest common multiple of v(-3) and 7.
70
Let t(o) = o**3 + 9*o**2 + 15*o + 20. Let d = -21 + 16. What is the least common multiple of t(d) and 72?
360
Let h(v) = -81*v - 2287. What is the smallest common multiple of h(-83) and 4?
4436
Let i be (-7018)/(-6) + 234/78. Suppose 0 = 2*u - 4*b + 1994 + 298, 4*b = -4. Let g = u + i. What is the common denominator of g and -27/4?
12
Let m(g) = -g - 4*g + 30 + 2*g. Let c be (109 - 108) + 3/((-6)/(-16)). Calculate the lowest common multiple of m(c) and 1.
3
Let j(p) = 2*p**2 + p - 1. Let t be j(1). Suppose d + 4*y + 38 = 0, 3*d - t*y + 107 = -7*y. Calculate the least common multiple of 595/d*4/(-10) and 16.
112
What is the common denominator of 14391/196416 + 3/(186/4) and 113/112?
4928
Let m = 3/37898 - 208445/75796. What is the common denominator of (2 + 490/4)/48 and m?
32
Let w be ((-2)/(-3))/(118/(-12)). Let z = 106078747/118 + -898985. Let h = z - w. Calculate the common denominator of h and -17/40.
40
Suppose -19 = -4*p + 1. Suppose -3*q = k - 338, p*q = -2*k + 277 + 285. What is the common denominator of 29/5 and q/(-8) - 0/(-1)?
20
Let l = -1952 - -1976. Let r = 6 + -3. Calculate the least common multiple of r and l.
24
Let m = -317 + 323. Suppose -5*l = 4*q - 172, -m*q = 5*l - 3*q - 174. Calculate the smallest common multiple of 30 and l.
180
Let d(u) = 20*u - 32. Let m be d(5). Suppose -63 = -m*l + 5*l. What is the smallest common multiple of 560 and l?
560
Let a = -4 - 77. Let u = a + 85. What is the least common multiple of 12 and (-58 - 2)/((-10)/u - -1)?
120
Let j = -198 - -252. Suppose 6*c = -w + 2*c - 2, -3*w = -3*c - j. Let z(n) = -3*n - 1. What is the least common multiple of w and z(-3)?
56
Suppose -3156 = y + 5*c, -1510 = y - 4*c + 1673. Let f = y + 57125/18. What is the common denominator of 1/64 and f?
576
Let p(q) = 10*q + 60. Let a(i) = 26*i - 185. Let k be a(7). Calculate the lowest common multiple of p(k) and 27.
270
Suppose 0 = -6*x + 41 - 5. Let b(u) = -7*u + 38. Let p be b(x). What is the smallest common multiple of 2 and (0 - ((-48)/p)/(-3)) + 2?
6
Let w be 2*-1 - -14 - (23 + -24). What is the common denominator of ((-66)/44)/((-120)/w) and 83/72?
720
Let t = -26 - 1. Let s be -1 - 27*2 - t/(-9). Let l = s - -64. What is the smallest common multiple of 12 and l?
12
What is the common denominator of 262/45 - (-8)/30*(-255)/(-170) and -97/146?
1314
What is the common denominator of 45/(-75) - (0 - 405/275) and 126/(-165) + 15/10?
110
Let v = -301193/290 + 1821/58. Let z = v - -1013. Find the common denominator of z and -87/4.
20
Let a = -483 - -748. Let s = a + -219. Calculate the lowest common multiple of s and 1.
46
Let j = 430305/7 + -61875. Let a = j + 50263/126. Calculate the common denominator of 3 - 790/165*1 and a.
198
Suppose 38*p = 28*p + 40. Let j = 68 - 39. Suppose -116 = -f + 3*n - j, -309 = -p*f - n. What is the least common multiple of 16 and f?
624
Suppose -1374 - 299 = -n - 3*k, 0 = -2*n - 15*k + 3418. What is the lowest common multiple of 1067 and n?
18139
Let q be 432880/(-27) + (0 - -1). Let c = 16034 + q. What is the common denominator of 102/85 - 2045/(-900)*-4 and c?
27
Let b = 75 + -1291. Let y be 8866/b + (-4)/3. Let z = y - 1/1824. What is the common denominator of 71/16 and z?
16
Let y(m) = m**2 + 11*m + 12. Let p be y(-10). Suppose -22 = p*k - 16. Calculate the common denominator of -23/24 and (-77)/10 + (1 - k).
120
Suppose 0 = 602*f - 558*f - 792. What is the smallest common multiple of f and 325?
5850
Let n(u) = 10*u**3 + 5*u**2 + u + 3. Let x be n(8). Let f = x + -54429/10. What is the common denominator of -2 + (-4)/(160/(-98)) and f?
20
Suppose -68*q + 20130 = -13*q. Calculate the least common multiple of q and 10.
1830
Let i(n) = -85*n**3 - 2*n**2 - 3*n + 2. Let o be i(-2). Let x = o - 365. Calculate the common denominator of 0/3 - 7/(x/174) and 109/24.
120
Let r = -989 - -345. What is the common denominator of 2/(136/6)*-1 and -9 + (r/(-88) - 0)?
374
What is the common denominator of 21/190 and 96/(-16) + (8752/380)/4?
190
Let d(j) = -j**2 + 31*j - 205. Let q be d(10). Calculate the smallest common multiple of 20/q*1 - 0 and ((-1)/(-2))/((-2)/(-72)).
36
Let k = 202 + -242. Let y = k - -60. What is the least common multiple of y and 40?
40
Let y(i) = 9*i - 25. Let k = 23 + -20. Let u be y(k). Calculate the common denominator of 17/14 and (1*u/(-4))/((-3)/(-93)).
14
What is the common denominator of 2*(-4)/8 - 198/(-8) and ((-1)/((-54)/33))/(12 - 11)?
36
Let s = 543/375472 - 7/3785. Find the common denominator of s and 53/3224.
32240
Let s = -2 + 7. Let b(w) = 2*w + 26. Let l be b(s). Calculate the common denominator of -83/12 and (30/(-8)*l/(-70))/(-3).
84
Let n = -17882 + 321929/18. Let h = -476641/18 - -26488. Calculate the common denominator of h and n.
18
Suppose -8 = 2*g - 5*d - 3, -g = -3*d + 3. Suppose -5*l + 4*k - 70 = -182, 2*l + k - 37 = g. Calculate the smallest common multiple of l and 20.
20
Suppose i = h + h + 475, -i - h + 463 = 0. Suppose 391 = 13*m - i. Let v = m + -48. Calculate the least common multiple of v and 12.
36
Let w = 394 + -283. Let l = 116 - w. What is the smallest common multiple of 15 and l?
15
Suppose -4*c + 9 = -c. Suppose i + i - 6 = 4*h, -i - c = 0. Let d(w) = w**3 + 4*w**2 - w - 5. Calculate the smallest common multiple of 1 and d(h).
7
Suppose 44*j - 69*j - 108*j = -37506. Calculate the least common multiple of j and 16.
2256
Let d be -1 + 22 + 385/(-55). Suppose 4*u = 5*y - 145, 48 = -13*y + d*y + 3*u. Calculate the smallest common multiple of 21 and y.
231
Let u be (-44)/13849*(-11338)/84 + 18/(-42). Let g be 1 - 2 - 177599/(-302160). Let v = g - u. What is the common denominator of v and 59/20?
80
Let f = -25995997152011/21352 - -1217497056. Let l = 87/136 + f. Let r = l + -11521/942. Find the common denominator of r and 14/3.
6
Let i = 4474 + -4258. Calculate the least common multiple of i and 24.
216
Let q = 23695 + -23680. Let a(u) be the second derivative of 2*u**3/3 - u**2/2 - 2*u. What is the lowest common multiple of a(7) and q?
135
Suppose 10*b - 18*b = -1320. What is the common denominator of -41/4 and (54/(-2187))/((-4)/b)?
108
What is the common denominator of 49/129 and 4/1*((-352)/2838 + 0)?
129
Let j = -12219 - -13455. Calculate the lowest common multiple of j and 30.
6180
Calculate the lowest common multiple of -10 - (136/204)/(2/(-72)) and 7726.
54082
Let d = 91033/2 - 44364. Let y = d - 1194. Calculate the common denominator of y and (102/20)/(96/(-8)).
40
Let k = -39 + 38. What is the common denominator of 81/(-6) + k/3 and 67/12?
12
Let s = -3 - -5. Let a(z) = -2*z + 34. Let j be a(15). Suppose -3*c + j*d = -74, 2*d - d + 23 = c. What is the smallest common multiple of s and c?
18
Let s be (-6)/(-18)*-3 - (229 - 2). Let n = s + 238. What is the lowest common multiple of n and 409?
4090
Suppose -d = -3*v - 13 - 25, 2*d = -2*v + 76. Suppose -2*a + 2 = 3*b - 2*b, 2*a = 2*b - 4. Find the common denominator of d and ((-291)/6)/(b + -1).
2
Calculate the common denominator of -26/45 and (35 - 34 - (-169)/(-168))*-43.
2520
Suppose -7*p + 10966 = 10588. Calculate the smallest common multiple of p and 72.
216
Let w(n) = -9300*n + 12. Let q be w(-1). Let s = 74399/8 - q. Find the common denominator of s and 26/5.
40
Let z(n) = -91*n**3 - n**2 + n. Let o be z(1). Find the common denominator of 64/111 and o/56 - 3/1.
888
Let k(t) be the second derivative of t**3/6 - 6*t**2 - 6*t. Let x be k(4). Calculate the common denominator of 33/5 and 0 - ((-6)/38)/(x/56).
95
What is the common denominator of 6/33 + 1119/1650 and (-56278)/2660 - -25 - 1/7?
50
Let x = 87 - 97. Calculate the common denominator of -47/10 and (4128/(-60) + 4/x)/(-24).
60
Let u = -26557/6 + 4423. Find the common denominator of -157/204 and u.
204
Let t = 4186 - 2116. Suppose 4*k + t = -2*k. Calculate the common denominator of -97/22 and k/(-18) + 0 + 0.
66
Let y be (5*(-2)/(-8))/(2/24). Calculate the least common multiple of 17*4 + (y - 21) and 16.
496
Suppose -3*t + 4*l + 207 = 0, -l = 2*t - 239 + 68. Calculate the lowest common multiple of 1188 and t.
3564
Let s be 5*1 - (-11 - (-5390465)/372840). Let t = 3/6214 - s. Calculate the common den