
Calculate the common denominator of -3*(-8)/6 + 85/6 and -89/100.
300
Let w = -2443 - 1217. Let s = w - -73247/20. Let c = 3540 + -14237/4. Calculate the common denominator of c and s.
20
Let b be 1/4 + (-130234)/8. Let s = 292939/18 + b. Find the common denominator of 47/2 and s.
18
Suppose 79*y - 2*r = 80*y + 2, -y + 2*r = -18. What is the least common multiple of (-58)/(-6) - (-1)/3 and y?
40
Let l = -27 - -29. Find the common denominator of 1/(-4)*(-87)/4 and 279/(-60) - -3 - l.
80
Let r(i) = 7*i**2 - i - 3. Let v = 72 - 74. What is the smallest common multiple of 3 and r(v)?
27
What is the least common multiple of 2*(-1 - (-10)/4) and 9/(33/(-88)*-4)?
6
Find the common denominator of -9/40 and 6/(-42)*94/(-30).
840
Let o(b) = -3*b + 32. Let w be o(8). Suppose k - 32 = c, -k - 2*c + w = 3*c. What is the lowest common multiple of 44 and k?
308
Suppose -2*l = -y - 6, 1 = 3*y - 2*l - 1. Suppose -f - s = -3*f + 29, f + 4*s + 8 = 0. Suppose -y*j - f = -48. Calculate the least common multiple of 1 and j.
9
Let w be ((-8)/(-6))/(18/27)*1442. Let d = w + -28881/10. Let h = -44071/6 - -7369. What is the common denominator of h and d?
30
Let f = 1477 - 1414. Calculate the lowest common multiple of 99 and f.
693
Let y = 4/15441 - -319054/231615. Calculate the common denominator of y and 55/13.
585
Let g = -642 + 662. Calculate the lowest common multiple of 44 and g.
220
Suppose 19*j = -40*j + 472. Let h = 51 - 31. What is the lowest common multiple of h and j?
40
Let n be (-22)/((-27)/6 + 3 - -2). Calculate the common denominator of 34/(-6)*(26/n - -1) and (-101)/26 + 0/(-2).
286
Suppose -18*g = -194 + 68. Calculate the least common multiple of 5 and g.
35
Let c be -4 + (-5 - -8) + 13. Calculate the common denominator of -17/27 and ((-62)/c)/(3/(-4)).
27
Suppose -m = p - 5 + 2, 0 = m + 2*p - 8. Let y be (m/(-4))/((-2)/4). Let n = y + 9. Calculate the smallest common multiple of n and 18.
72
Let c = 614 - 600. Calculate the least common multiple of c and 12.
84
Let h = 31891/1428 + 1/1428. Let q = 437812617/2 + -924660229513/4224. Let m = q - -3/1408. Calculate the common denominator of m and h.
6
Let q = -1243 + 2431/2. Let i = 61318529/33190 + -2/16595. Let o = i + -1889. Calculate the common denominator of q and o.
2
Let c = -3 + 9. Calculate the least common multiple of 20 and (-16 - -13)/(c/(-32)).
80
Let x(t) = -10*t + 636. Suppose p = 3*p - 4. Suppose -p*s = 3*s - 100. Calculate the lowest common multiple of x(62) and s.
80
Let d be 542/9 - 4/18. What is the common denominator of (253/(-22) - -11)*17/(-2) and ((-3)/d)/((-1)/(-29))?
20
Let s(z) be the first derivative of z**4/4 - z**3 - 6*z + 24. What is the lowest common multiple of s(4) and 2?
10
Let h = -43369261/5714 - -7590. Let j = 49992/31427 - h. Find the common denominator of 1/20 and j.
220
Let j be (-3)/12 - 2765/(-1876). Let g = j - 6605/1072. Calculate the common denominator of 59/3 and g.
48
Let k(i) = -i**3 + 4*i**2 - 5*i. Let m be k(5). Let q = 72 + m. Suppose -3*z + 0*t - 16 = -5*t, -2*t = 4*z - q. What is the lowest common multiple of z and 4?
12
Let f(g) = 2*g**2 + 21*g - 66. What is the smallest common multiple of f(4) and 70?
350
Let h(b) = -b**2 - 44*b - 218. Calculate the lowest common multiple of h(-6) and 1180.
1180
Suppose 4*d - 4*y + 2 = -2*y, y - 7 = -d. Suppose -3*x = d*z + 3*z - 2, 3*x - 4 = -4*z. Calculate the lowest common multiple of 48 and x.
48
Calculate the common denominator of -53/50 and 2 + 3 + -6 - (-545)/150.
150
What is the common denominator of -17/60 and (-44)/198*-1 - (-598)/1440?
240
Let l be -4 + 8*(1 + 5). Let m be 7294/(-12)*4/l. Let n = m - -353/11. What is the common denominator of n and -121/18?
18
Let v be ((-20)/30)/(1/9). What is the common denominator of (((-3)/(-20))/(-3))/(v/594) and 1/(-2) + (-162)/8?
20
Let n = 41 + 22. Calculate the smallest common multiple of n and 14.
126
Let g(i) = 415*i + 9. Let z be g(15). Let x = -124783/20 + z. What is the common denominator of x and (-25)/(-40)*(-41)/(-5)?
40
Let l = 1019 - 163. What is the lowest common multiple of 24 and l?
2568
Suppose -3*l - o - 4*o = -7, -25 = -l + 4*o. Let j = 16 - 7. Calculate the lowest common multiple of l and j.
9
Suppose 0 = -3*v - 0*v + 531. Find the common denominator of 71/8 and 0 + (-3 - v/12).
8
Let a(s) = 55*s - 1406. Calculate the least common multiple of 11 and a(26).
264
Let v be 4 + -6 + 6*8. Suppose -4*l - r = r - v, -2*r - 35 = -5*l. What is the smallest common multiple of 7 and l?
63
Let f = 9/2108 + 8012/5797. What is the common denominator of f and (-16)/((-96)/(-93))*(-1)/2?
44
Let g = 13 - 11. Let n(p) = p + 1. Let d be n(g). Suppose -5*r + d - 18 = 0, 2*s - 3*r = 49. Calculate the lowest common multiple of s and 20.
20
Suppose 0 = 3*a - z - 27, -3*a = -4*z + 17 - 53. Suppose 60 = -5*i - 10. Let j = 30 + i. What is the lowest common multiple of a and j?
16
Calculate the least common multiple of 7/(-2)*(-13)/((-26)/(-24)) and 6.
42
Let t(d) = -697*d - 2. Let q be t(10). Let w = 139483/20 + q. Calculate the common denominator of w and (-10)/55 + 709/88.
40
Let r = -752 + 773. Let q(t) = -t**3 + 9*t**2 + 14*t - 7. Calculate the smallest common multiple of q(10) and r.
231
Let v = -20 + 20. Suppose -d + 2*y = -4, v = 5*d - 0*d - 5*y - 15. Calculate the smallest common multiple of 32 and d.
32
Let p(i) = i**3 - 15*i**2 + 16*i + 10. Let j be p(14). Let g = j + -23. What is the least common multiple of g and 9?
45
Suppose -3*q - 33*t = -29*t - 121, 5*q - 4*t - 159 = 0. Calculate the least common multiple of 63 and q.
315
What is the lowest common multiple of 126 and 0 + 149 + (67 - 62)?
1386
Let x = -8971/40 + 1177/5. Let a = -275554630544/2433 - -113257164. Let s = a + 1/811. Calculate the common denominator of s and x.
24
Suppose 0 = 5*s - 0*s - 15. Let g = 6 - 4. Let w = 0 + g. What is the smallest common multiple of w and s?
6
Suppose 4*t = -0 - 12. Let i be 0/((-5)/(5/t)). Calculate the smallest common multiple of 7 and (1 + i)/((-6)/(-30)).
35
Let n(q) = 2*q - 4*q + 202 - 207. What is the lowest common multiple of n(-4) and 30?
30
Let g = -1541619218/33 + 46719932. Let r = g + -4199. Find the common denominator of 53/27 and r.
297
Let c = -33071963/2108 - -267106/17. Let x be (-670)/(-8)*4/310. Let j = c - x. Calculate the common denominator of j and 13/2.
4
Let a(z) = -z - 3. Suppose -4*c = -54 + 6. Let r be a(c). Calculate the common denominator of ((-48)/r)/(2/10) and -76/3.
3
Let n(m) = 2*m**2 - 82*m + 12. Let z be n(41). Let p(w) = -4*w + 1. Let r be p(-2). Suppose -z - r = -3*l. Calculate the smallest common multiple of l and 21.
21
Let a = 1642 + -16499/10. Suppose -4*l = -10*l - 18. Calculate the common denominator of (l/(-4))/(6 - (-1557)/(-258)) and a.
10
Let w(f) = -f**2 - 4*f + 7. Calculate the lowest common multiple of w(-3) and 10.
10
Suppose 5*d - 25 = -5*m, d + d = 4*m + 28. Let w be 0/(-25) - (-2 - 0). Calculate the smallest common multiple of d and ((-1 + -29)*-1)/(w + 0).
120
Let t = 237075/47014 - -6/2137. Calculate the common denominator of t and -59/4.
44
Let a be 30*(2 - (6 - 3)). Calculate the common denominator of -19/9 and 12/(-18) + (-341)/a.
90
Let u be -1 + 1 + 9 + -10. Let m = 1285/4 - 314. Find the common denominator of m and 1660/240*1/u.
12
What is the common denominator of (1 - (-226)/80)/(468/(-195)) and -87/32?
32
Suppose -11*g + 16*g - 10 = 0. Suppose -g*a + 3*f = -21, -a - f = -0*f - 3. Calculate the smallest common multiple of a and 18.
18
Let o = 2015/138 + -122/69. What is the common denominator of 6/4*(-116)/(-21) and o?
42
Let y(f) = f**3 + 6*f**2 + 4*f + 2. Suppose t = -t + 5*h + 28, h + 24 = 5*t. Calculate the least common multiple of t and y(-2).
20
Let m = -580068/5 - -116568. Let s = -551 + m. What is the common denominator of 29/10 and s?
10
Let f(c) = -c**3 - 7*c**2 - 13*c - 12. Let i be f(-5). Let m = 79045/22 - 3594. Calculate the common denominator of m and 4 + (i - 2)/(8/(-118)).
44
Let n be (-21)/(1/(35/(-15))). Suppose -53*z = -n*z - 88. What is the smallest common multiple of 18 and z?
198
Let b be 58 + (1 + -2)*-2. Let p = 3358 + -100867/30. Find the common denominator of ((-18)/b)/((-36)/890) and p.
60
Let z = 25 + -13. Suppose -23*n - 10 = -25*n. Suppose n*v - 3*g - 181 = 0, 3*v + 2*g -