7216
Let k = -151 + 103. Suppose 0 = 10*s + 733 - 93. Let p = k - s. Calculate the lowest common multiple of p and 70.
560
Suppose 20*m + 11 = 21*m. Suppose -2*i - 14 = -0*i. Let o = m - i. Calculate the least common multiple of 18 and o.
18
Let f = -11644 - -224699/20. Let o = f - -3287/8. Calculate the common denominator of o and -47/16.
80
Let d be (-5093)/((-3)/(2 - -10)). Let s = 407353/20 - d. Calculate the common denominator of s and -3 - 2 - (14 + (-1460)/72).
180
Calculate the lowest common multiple of 78666/57 + 123/7011*6/(-1) and 8.
2760
Let t = 5214 - 62503/12. Calculate the common denominator of 36/48*268/18 and t.
12
Let r(n) = -n**2 + 10*n - 7. Let s be r(9). Let q(g) = -36*g**2. Let d be q(s). Calculate the common denominator of (-2)/(-3) + (-201)/d and -43/18.
144
Let g = 67886 + -143171587/2109. Calculate the common denominator of g and 40/11.
23199
Let v(u) = -u**2 - 27*u - 170. What is the least common multiple of ((-4)/(-1))/((-4)/(-218)) and v(-15)?
1090
Let l be 14785890/120 + (-2)/(-8). Let s = l + -13307177/108. Find the common denominator of s and -97/16.
432
Suppose -11*v + 6*v + 21 = -o, v - 33 = 5*o. Find the common denominator of 126/(-32) + (3 + -10 - o) and -5/26.
208
Suppose 15505*i - 15515*i = -120360. Calculate the smallest common multiple of i and 18.
36108
Let d(u) = -u**2 + 9*u + 47. Let l be d(13). Find the common denominator of ((-186)/(-75))/((-3)/l + 3) and 57/25.
225
Let q = 25/1156 - 31823/41616. Find the common denominator of 19/1056 and q.
3168
Suppose 3*q - 375 = -3*s, q + 4*s - 158 = -30. Let r = -17 + 24. Suppose -q = -r*n + 16. Calculate the lowest common multiple of 66 and n.
660
Suppose 34*j = 14*j + 1640. Suppose 0 = 3*l - 4*b - j, 18*l - 100 = 14*l + 3*b. What is the smallest common multiple of 2 and l?
22
Let s = -1517/2 + 784. What is the common denominator of (93/5)/(1848/120 - 15) and s?
2
What is the smallest common multiple of (0 - 108/(-60))*120 and 72?
216
Let s = -2845 - -406. What is the lowest common multiple of (-4)/(-26) - (s/117 + 7) and 34?
238
Calculate the common denominator of 87/20 and 4 + -23 + (-707841)/(-37266).
124220
Suppose -16*f - 2*f = -4019 - 733. What is the lowest common multiple of f and 3792?
41712
Suppose -l - 5806 + 19171 = 8*l. What is the least common multiple of l and 55?
1485
Let v be ((-4)/12)/(1/(-12)). What is the common denominator of -133/18 and (-25)/(-4)*(v - 12)/(-4)?
18
Suppose 5*z - 12 = -4*m, -m + 28 = 3*m + z. Suppose -t - 2*b = -m, t - 5*b + 4 = -3*b. Calculate the least common multiple of t*((-30)/(-5))/3 and 1.
4
Let h = 188 - 185. Suppose -4*g - 2*q = -16, 6 + 10 = 2*g - h*q. What is the smallest common multiple of 81 and g?
405
Suppose p + 528 = 5*p. Suppose -p = -7*x + 3*x. Let c = -35 + 44. What is the least common multiple of x and c?
99
Let u = -20143 - -20191. What is the lowest common multiple of u and 1152?
1152
Find the common denominator of 60/301 and 4/(-26) - 10/(335400/3355).
3612
Let v = -153623/209445 - -2/13963. Find the common denominator of (-67)/(-38) - (0 - -1) and v.
570
Let n = 3846 - 1765342/459. Calculate the common denominator of -23/54 and n.
918
Let f = -8/1519 + 156505/9114. Let q = -4/1769 - -118619/42456. What is the common denominator of f and q?
24
Let a = 9/4 - 1. Suppose -16*w + 66*w = 69600. Find the common denominator of a and (-18)/87 + 96/w.
116
Suppose -466*i - 638 = -488*i. What is the smallest common multiple of i and 10?
290
Let g = 174 - 164. Suppose -8*c + v = -g*c + 13, -5*v = 2*c - 33. Calculate the smallest common multiple of 22 and c.
44
What is the lowest common multiple of (3989 + -3929)*(0 - 1116/(-10)) and 12?
6696
Suppose 173*x = -74*x + 248235. What is the least common multiple of 45 and x?
3015
Let u be (16/8)/((18/(-4))/(-9)). Suppose 0 = -p + y + 7, -8*y + 26 = 5*p - u*y. What is the lowest common multiple of p and 213?
426
Let n = 25644203/310 + -82723. Calculate the common denominator of n and 3/40.
1240
Let u(i) = i**2 + 81*i + 451. Suppose 0 = -l - 3, -4*l + 5*l - 15 = 3*q. What is the lowest common multiple of u(q) and 303?
303
Let a be 119/6 - (-1 - -2). Let w = a - 61/3. Calculate the common denominator of (-28)/(-20)*45/(-72)*-14 and w.
4
Suppose -15 = 4*v - 7, 5*v = 4*b + 70. Find the common denominator of -41/5 and 254/12*4/b.
30
Let m = 30 + -26. Suppose -13 = k - m. Let j(l) = 3*l - 8. What is the common denominator of 29 and j(k)?
1
Let b = -525 + 527. Calculate the lowest common multiple of 138 and 1976/266 - 2/(-7)*b.
552
Let d = 523 + -166. Suppose -33*z = -1677 + d. What is the least common multiple of z and 80?
80
Suppose -2460 = 5*c - 5*d, -c - 5*d = -4*d + 492. Let l = -22369/48 - 789/16. Let b = c - l. Calculate the common denominator of 67/9 and b.
9
Let k be ((-2116)/(-16))/(11/(-55)). Let l = k - -644. What is the common denominator of l and 19/2?
4
Let z(c) = 2*c - 129*c**3 - 1 - 129*c**3 + 264*c**3 + c**2. Calculate the smallest common multiple of 17 and z(1).
136
Let d = 3174 - 1224. Calculate the smallest common multiple of d and 6.
1950
Let p = -3240/53 - -6399/106. Suppose l - 40*l + 4095 = 0. What is the common denominator of p and 5/(175/63)*l/56?
424
Let n be (-2)/(-6) - (-8)/3. Let l = -366 + 369. Suppose -l = -n*k + 2*k. What is the smallest common multiple of 7 and k?
21
Let c(v) = -v**3 - 2*v**2 - v + 1. Let w be c(0). Find the common denominator of (2/40)/((-6)/(-15)) and (w + 34/(-5))*(-50)/20.
8
Let m(v) = v**3 - 5*v**2 - 13*v. Let x be m(8). Let r = x + -92. Calculate the common denominator of 27/37 and r/30*(-7)/(35/255).
185
Let i be ((-379)/239*-157)/12. Let y = i - -2/717. Find the common denominator of (-3 - 343/(-882)) + 1/(-9) and y.
36
Let m(j) = 114 - 361 + 132 + 146 - j. Let y(g) = -11*g - 2. Calculate the lowest common multiple of y(-2) and m(9).
220
Suppose -4*w = 6*h - 376, 4*h - 321 = -4*w - 65. Suppose -5*u + 38 = -4*o, o - 11 = -4*u + 32. What is the smallest common multiple of h and u?
60
Let b(v) = 5*v - 20. Let u(n) = 1. Let j(w) = -b(w) - 30*u(w). Calculate the lowest common multiple of j(-4) and (528/(-21))/(-4) + (-4)/14.
30
Let l be 25*3/(6/(12/(-5))). What is the smallest common multiple of 36 and 1*l/(-5) + 6?
36
Let v(u) = -u + 1. Let y be v(8). Let t = y + 15. Let k(n) = n**3 + 47*n**2 - 69*n - 998. What is the least common multiple of t and k(-48)?
40
Calculate the least common multiple of 760 and (-168)/7*(-2 - (-298)/(-3)).
12160
Suppose -5*q - 3*a = -129, -12 = -2*a - 2*a. What is the lowest common multiple of 44 and -1*(-6)/9*q?
176
Let z(f) be the second derivative of -f**3/3 - 8*f**2 + 8*f. Let p be z(8). What is the smallest common multiple of 4 and p/12*117/(-12)?
52
Let y = -1335653/265287168 - -5/115142. Find the common denominator of -89/6 and y.
4608
Let g(u) = 0*u - 4 - 4*u - 2*u. What is the least common multiple of g(-4) and (-44)/5*((-21)/(-12 + 54) + -2)?
220
Suppose 15*j - 69 = 156. Find the common denominator of (1/j)/(6 + 1172/(-196)) and -1/10.
30
Let w = -23146 + 648085/28. Find the common denominator of 5/28 and w.
28
Let w = -7706 + 6326625/821. Let d = 23806/2463 - w. Calculate the common denominator of 161/30 and d.
30
Suppose q + q - 88 = 0. Let c(s) = s**2 + 2*s - 244. Let h(m) = 7*m**2 - 178*m + 57. Let x be h(25). Calculate the least common multiple of q and c(x).
44
Let l(n) = 31*n**2 + 38*n - 104. What is the least common multiple of 20 and l(8)?
10920
Suppose -4*d - 3*j + 684 = 0, -2*d + 356 = 2*j + 3*j. Find the common denominator of 143/d - 3/((-72)/(-32)) and 69/80.
560
Let o = 147361 + -243440471/1652. Find the common denominator of -53/826 and o.
1652
Suppose -39 = -3*s - 11*s + 11*s. What is the smallest common multiple of 7 and s?
91
Suppose 20*o - 5*o = 18450. Suppose 5*t = -t + o. Suppose 6*a + 185 = 5*c + 8*a, 5*c - 2*a - t = 0. What is the lowest common multiple of 24 and c?
312
Suppose 10 + 12 = 2*d + 5*b, 0 = d - 5*b + 19. Calculate the lowest common multiple of ((-1148)/(-123))/(d/(9/2)) and 49.
294
Let p(l) = 2*l**3 + 117*l**2 - 64*l - 75. What is the least common multiple of 3740 and p(-59)?
3740
Let t = 50398 - 81745563/1622. Let y be -13 - 1 - (-14296259)/1304088. Let q = t + y. Calculate the common denominator of -77/4 and q.
24
Let h(x) = -13*x**3 + 2*x**2