tor of (-10275)/(-2800) - (5/7)/(-5) and 2 - (b/90 - 3).
240
Let n(m) = -m**3 + 3*m**2 + 5*m + 1. Let q be n(4). Suppose -3*o = -y - 10 - 23, 3*y + 59 = q*o. What is the lowest common multiple of o and 14?
70
Let q(x) = 34*x - 53. Let y be q(11). Let j = y - 315. Suppose 2*i - 18 = i. What is the lowest common multiple of i and j?
18
Suppose 2*z - 9231 + 9077 = -t, -50 = -z - 5*t. Calculate the least common multiple of z and 1724.
34480
Let y(a) = 2*a**2 - 829*a - 4175. What is the lowest common multiple of 7548 and y(-5)?
37740
Let z = 1 + 0. What is the common denominator of -1 + 4/(-12) + 63/(-945) and (54/(-16))/z*-12?
10
Let r = 411436 - 123430933/300. Calculate the common denominator of r and -99/20.
300
Let m be ((-3)/(-96))/(10/(-11137930)). Let o = m - -34803. What is the common denominator of o and 93/8?
32
Let x = -20000695/6894 - -145/2298. Let c = -2897 - x. What is the common denominator of -52/9 and c?
9
Suppose s + 5 = 6*s, -4*t + 27 = -5*s. Let r = 148 - 143. Suppose 5*g = -5*d - 10, -r*d + 1 = -2*g - 17. Calculate the smallest common multiple of t and d.
8
Let h = 72 - 69. Suppose -h*u - 75 = -g, -2*u = -g - g + 50. What is the common denominator of (-66)/8*30/u and -121/10?
10
Let v = -87712 - -53679809/612. Calculate the common denominator of -35/289 and v.
10404
Let k = -10291/5232 - -144/109. What is the common denominator of k and (-143)/132*(-88)/16?
48
Suppose -4*p = -13*p + 603. Let o = p - 55. What is the least common multiple of o and 138?
276
Let a = -854461 - -9445325/11. Suppose -3*v - r + 12600 = 0, 2*v - 12003 = 4*r - 3589. Let p = a - v. What is the common denominator of p and 25/7?
77
Suppose 49560 = 208*p - 31*p. Calculate the lowest common multiple of p and 203.
8120
Suppose 2*f = -2*f + 3*n + 209, 53 = f - n. Let u = -38 + f. What is the lowest common multiple of u and 58?
348
What is the common denominator of 97/5070 and (8 + -2 - (-13 + 18))*27/(-4)?
10140
Suppose -3*g - 5*g = -160. Let x(m) = -8 - 2*m + g + 3*m + 7. Calculate the smallest common multiple of x(11) and 11.
330
Let r = 133797701/360 + -371660. What is the common denominator of -83/195 and r?
4680
Suppose 0 = -2*m - 8*m + 350. Let p = m - 13. Let c = p + 7. Calculate the least common multiple of 1 and c.
29
What is the common denominator of (-139935)/231100*(-4)/(-6) + (-8)/(-20) and 59/6?
13866
Let v be ((-18748)/(-430))/((-288)/(-65)). Let i = v - 121/16. Find the common denominator of i and -143/48.
144
Let f be (-47)/(-7) + (-6)/(-21). Let c(r) = -2*r**2 + 16*r - 15. Let z be c(f). Find the common denominator of -115/18 and (z - 715/30)*-1.
18
Let t = 1484 - 94973/64. Let p = t + 1969/320. Find the common denominator of 47/20 and p.
20
Suppose 37*l = 32*l - 65400. Let x be -4*16805/l*2. Let z = x + 6/109. Calculate the common denominator of 14/11 and z.
33
Let g be ((-88)/55)/((-2)/(-5)). Find the common denominator of g/18 - 0 - (-3492)/55080 and 11/20.
340
Let w(c) = -2*c**2 + 24*c + 47. Suppose 2*d - 10 = 0, 4*s = -0*s - 4*d + 28. What is the lowest common multiple of w(12) and s?
94
Let o = 99/35 + -2449/210. Let h = -19448488/77 - -252578. What is the common denominator of o and h?
462
Let c = -3138 + 25103/8. Let s = -820 - 7107. Let i = s + 95041/12. Find the common denominator of c and i.
24
Let d be ((-27)/(-3) - 214) + -3*1. Let b = d - -210. Let q = -2 - -3. Calculate the least common multiple of b and q.
2
Let j = -78581468 + 253032329507/3220. Let m = j - 6/35. Calculate the common denominator of m and -11/32.
736
Let m = 3272421/286 + -11442. Find the common denominator of 17/308 and m.
4004
Suppose 4*g + 3*c = 536 + 22, -427 = -3*g + 2*c. Let t = 161 - g. Let l = -28 - -106. What is the lowest common multiple of t and l?
780
Let z = 5401733/161 - 33551. What is the common denominator of z and 119/(-70) + (-3)/5?
1610
Let z(h) = 5*h**2 + 19*h - 93. Calculate the lowest common multiple of z(-15) and 1411.
12699
Calculate the lowest common multiple of 10990/20 + 7 + (-4)/8 and 278.
556
Calculate the common denominator of 2 + 27/(-12) + (109687/1596)/23 and 89/108.
756
Let r be 3442/204*(-8 + -15146483). Let q = r + 255563058. Let i = -9442/3 + q. Calculate the common denominator of i and 39/16.
272
Calculate the common denominator of 23/10 and 129/258*94/(-1238).
6190
Let y = -439/840 + 43/21. Find the common denominator of y and -81/1840.
1840
Let w(t) = 2*t**3 + 8*t**2 - 8*t + 3. Let i be w(-9). Let n = -1043 - i. Calculate the common denominator of 38/7 and (-18)/99 + (1277/n)/(-1).
28
Suppose -4*b = 4*j + 44, 0 = j + 4. What is the common denominator of (-5248)/924 + 7 + (-2)/b and (2/(-24))/(24/(-1056))?
33
Let q(s) = s**3 + 2*s**2 + s. Let c(g) = -58*g**3 - 6*g**2 - 5*g + 1. Let m(r) = -c(r) - 3*q(r). Calculate the lowest common multiple of 21 and m(1).
168
Suppose -i = -5*d + 7483, -4*d + 7*i = -1584 - 4421. Calculate the least common multiple of 187 and d.
1496
Suppose -16*w + 2724 = -556. Let v = -193 + w. Calculate the lowest common multiple of 24 and v.
24
What is the smallest common multiple of ((-154)/66 - 8/(-6))*-18 and 6?
18
Let d be ((-3)/37770)/(7/(1 + 6)). Let o = d + 152341/25180. Find the common denominator of o and -97/40.
40
Suppose 5*a + 1533 = 10*a - 17. Let r = -4 + 4. Suppose r = 14*p - 236 - a. Calculate the lowest common multiple of 30 and p.
390
Suppose -4*m - 4*o = -236, 5*m - 4*o - 340 = -0*o. Let l = -367 + 2913/8. Find the common denominator of m/10 - (5 + 3 + -8) and l.
40
Suppose t = 7*t + 90. What is the common denominator of -41/15 and 38/t + -2 - (18 + -20)?
15
What is the common denominator of 13/3720 and ((-21)/4 - (-5)/4)*(-5)/(-930)?
3720
Let f be (1 + (-3 - -3))*-97. Let s = -16 - f. Find the common denominator of 97/12 and (0 - 2682/s)/((-56)/(-6)).
84
Let c be 2/10 - (-182497)/(-28700). Let l = -113193 + 116022834/1025. Let n = c + l. Calculate the common denominator of n and -47/22.
220
Suppose 0 = -0*b - 5*b + 25. Suppose 0*w - 15 = -b*w, -19 = -f - 4*w. Let x(n) = 5*n**3 - 2*n + 2. What is the lowest common multiple of f and x(1)?
35
What is the smallest common multiple of (2/4)/(-5*2/(-240)) and 4 + (-6 + 10/5 - -8)?
24
Let q(c) = -c + 29. Let o(b) = b**2 - 3*b - 10. Let s be o(6). Let k = 19 - s. What is the smallest common multiple of q(k) and 20?
180
Let s = 10305413095582050654281/357570 + -28820687125853089. Let q = s + 6982/35757. Let o = q - -25832. Calculate the common denominator of 67/15 and o.
30
Let s = 9429/8 + -1181. Find the common denominator of (32/(-10) - -3) + (-10142)/(-660) and s.
24
Suppose 2 = -t + 3*b, 4*b = 3*b - 1. Find the common denominator of 10/(-20) + (405/14)/t and (-84)/(-21)*67/8.
14
Let z(p) = -p**2 - 36*p - 270. What is the smallest common multiple of z(-21) and 203?
9135
Let c = 21441043/214 + -100192. Let h = c + 3314/749. Suppose 0*s = 5*s - 115. Calculate the common denominator of s and h.
14
Let y(p) = p**2 + 18*p + 24. Suppose -3*q = 75 - 24. Let a be y(q). Find the common denominator of a/2 + 9/(-45) and 16/11.
110
Let f = 159077/453306 - -44/1757. Find the common denominator of 7/258 and f.
258
Suppose 3*j + 8*u - 3*u = 121, 5*j - 155 = u. Suppose 143 = 22*t - 341. What is the smallest common multiple of t and j?
352
Let r(c) = 4*c - 3*c + 0*c - 3 + 1. What is the smallest common multiple of r(6) and (5 + 12/(-2))*-22?
44
Suppose -30*x + 91 = -59. Suppose 0 = x*l + 4*w - 765, l - 5*w - 203 = -50. Calculate the smallest common multiple of l and 51.
153
Let f = -2978580221/1812 - -1643808. Calculate the common denominator of -11/6 and f.
1812
Let u = 40 + 125. Let b(j) = -16*j + 69. Calculate the lowest common multiple of u and b(4).
165
Suppose 2*r + 36 = 4*d - 12, 0 = -4*r. Suppose -1198 = -50*t + 162 + 1740. What is the least common multiple of d and t?
372
Let a = 25 + -23. Suppose 0 = -5*m - 2*v + 140, a*m - 5*v - 39 - 46 = 0. Let g = -12 + m. What is the lowest common multiple of 8 and g?
72
Let j = -1 - -3. Suppose 3*p + j*d = 3*d - 8037, -p - 5*d - 2695 = 0. Let b = p + 21389/8. Calculate the common denominator of 67/2 and b.
8
Suppose 2*p - 3*p = 5, 0 = 2*v + 2*p + 80. Find the common denominator of 3/5*(-31)/2 and 153/30 + v/28.
20
Suppose 3*z - 5*i - 34 = 7, 0 = -z + 4*i + 16. Let g = -17 + 4. Let x = g - -17. Calculat