4*(1 + (-54)/(-10)) and -17.
5
Suppose 2*b + 3*j = -92, 8 - 4 = j. Let k = b - -38. What is the common denominator of k and -26/9?
9
Suppose -92 = -3*o + o + 4*b, 3*b = -6. Calculate the lowest common multiple of 30 and o.
210
Suppose -q - 45*x + 48*x + 33 = 0, -q + 4*x + 32 = 0. What is the smallest common multiple of 96 and q?
288
Let l be (-1)/5 - 1388/(-42040)*6. Let b = -11579/9459 - l. Let f = -1081/18 + 347/6. What is the common denominator of b and f?
9
Suppose -18*m = 14*m - 2816. What is the smallest common multiple of m and 56?
616
Let c(s) be the second derivative of s**3 - s**2 + 4*s. Let j be c(-1). Find the common denominator of (-34)/(-36)*(j - -10) and -1/4.
36
Calculate the common denominator of 692/(-182) - -10*24/(-560) and 83/14.
182
Let c be (2*(-3)/(-6))/((-1)/(-2)). Find the common denominator of -48 and (c - 63/15)/((-70)/125).
14
Suppose p - 35 = -28. Let h(y) = 2*y**3 + 3*y - 2. Let u be h(p). What is the common denominator of u/220 - 9/12 and 59/5?
55
Suppose 5*c - t - 56 = 0, c - 5*t = 3*c - 44. Suppose -1 + 5 = l - 4*z, 0 = -3*l + 2*z + c. What is the common denominator of ((-10)/4 - -2)/l and -107/12?
24
Let p be ((-1)/47)/(-6 + 3). Let m be ((-106)/188)/(30/(-19)). Let j = p - m. Calculate the common denominator of 45/14 and j.
140
Calculate the common denominator of -3 + 31/(-3)*1 and (((-9)/(-8))/(-3))/(225/(-2820)).
30
Let g = -24 - -26. Let t be 2/8 - 15/(-4). Suppose -5*p - 5*n = -t*n - 15, 0 = 2*n + 10. Calculate the lowest common multiple of p and g.
4
Let a be ((-3610)/627)/((-8)/6978). Let k = -5027 + a. What is the common denominator of k and -22/9?
198
Let b = -103 - -160. Suppose 0 = 7*l - 112 - 98. Calculate the least common multiple of l and b.
570
Suppose -4*i - 9 = h, -3*h - 1 = 4*i + 2. What is the common denominator of 1170/(-4)*(-1)/(-25) and (-605)/(-66) - (-2)/h?
30
Calculate the common denominator of -33/10 and 12/(-14) + (4450/210 - 8).
30
Let l = 119/150 - 24/25. What is the common denominator of 73/8 and l?
24
Suppose 392 = 13*b - 9*b. Suppose -5*u = 9*u - b. Calculate the smallest common multiple of 5 and u.
35
Let m be (0 + -14)*(3 + (-5)/10). Find the common denominator of -57/20 and (2/10)/(84/m).
60
Let x = 11344727/90 + -126051. Calculate the common denominator of x and -13/330.
990
What is the lowest common multiple of (-2 - 31/(-3))*(9 + -6) and 20?
100
Let s = -216/25 + -1143/50. Find the common denominator of 67/2 and s.
2
Suppose -9 + 2 = -c. Suppose -4*a - 20 = 0, 0 = 2*s - s + 5*a + 19. What is the least common multiple of s and c?
42
Let q be (30/105)/(1/14). Suppose -q*s - 8 = 2*a, -4*a + 2*a - s + 1 = 0. Calculate the lowest common multiple of a and 7.
14
Suppose -5*o + 4*o = -22. Suppose -4*m = -4*s + 3*s + o, -4*s = 2*m - 88. Let p = 28 + -6. What is the lowest common multiple of p and s?
22
Find the common denominator of ((-2)/15)/((-3)/138) and ((4 + -10)/(-3))/((-2432)/(-692) + -4).
210
Let y be (-2 + -3)*22/(-6). Let v = y + -235/12. Let s = 2048 + -16363/8. Find the common denominator of v and s.
8
Let q(d) = -18*d + 828. Calculate the lowest common multiple of 180 and q(43).
540
Let h = -41 + 45. Suppose -36 = h*m - 7*m. Let i(w) = -3*w - 3. What is the smallest common multiple of m and i(-3)?
12
Suppose -7*r + 2*r = -823605. Let p = -833903/5 + r. Let q = -2051 - p. What is the common denominator of q and -28/9?
45
Calculate the common denominator of -41/19 and (-3)/15 - (146/70 - 5).
133
Suppose 0*i + 2*i - 32 = 0. Suppose i*k - 60 = 11*k. Calculate the smallest common multiple of k and 15.
60
Let h(q) = 54*q**2 - q. What is the smallest common multiple of 7 and h(-1)?
385
Calculate the common denominator of ((-2)/4)/(63/2058) - 5 and 28/165.
165
Let n = -479 - -481. Calculate the lowest common multiple of n and 8.
8
Let p be 0 - (-3 - -5) - -83. Suppose 0 = 3*c - 5*d + 114, -p = 2*c + 4*d - 9*d. Find the common denominator of 7/4 and (-18)/c + -4 - -4.
44
Suppose -362 + 28 = -4*z - 5*f, -2 = -f. Let l = -9 - -18. What is the smallest common multiple of l and z?
81
Let n = -3/1139 + 105951/9112. Calculate the common denominator of 2/11 + (-4557)/198 and n.
24
Let o = -55 - -60. Suppose 2*d + 0*h - 54 = -5*h, -o*h + 76 = 3*d. Calculate the least common multiple of 4 and d.
44
Let j(d) = d**2 - d - 3. Let l be j(-3). Suppose -3*g = 3*c - l, 0*c + 5*c + 39 = 4*g. Let a = -88 - -94. Calculate the least common multiple of g and a.
6
Let r be (-6)/5*(-45)/27. Suppose 4*u + 2 = w + 1, 3*w = -r*u - 11. What is the common denominator of 61/8 and (u/(-2))/((-14)/(-154))?
8
Let w(a) = -2*a**2 + 23*a - 32. Calculate the lowest common multiple of 60 and w(8).
120
Let p(k) = -520*k - 57. Let r be p(-6). Let b = 33728/11 - r. Find the common denominator of -145/6 and b.
66
Suppose 20*a - 75 = 5*a. What is the least common multiple of a and 67?
335
Let t = -14507/6 - -2415. Calculate the common denominator of t and (-11)/(-2) + (-1)/5.
30
Let b = -105263993/20 + 5267189. Let q = b + -3993. What is the common denominator of q and 51/20?
20
Suppose 4*i - 13 = -3*q, -28*q = 2*i - 30*q - 10. Calculate the smallest common multiple of 7 and i.
28
Let z = 6037/20 + -302. Let u = 52759/10940 + 15/547. What is the common denominator of u and z?
20
Suppose 25*r - 4482 = -2*r. Calculate the smallest common multiple of 20 and r.
1660
Suppose 0 = q - 4, -l - q = 218 + 609. Let i = 13307/16 + l. Calculate the common denominator of 119/(-18) - 2 - -4 and i.
144
Let s(u) = u**3 - 2*u**2 - 7*u + 16. Let k be s(4). Calculate the least common multiple of 2518/k + 18/180 and 14.
126
Let p = -968/105 + -50/21. What is the common denominator of (-4)/(-2) + 8/(-1) and p?
5
Let d(l) = -l**2 - 28*l - 24. Let f be d(-27). Suppose 0 = -f*c - 3*k + 42, -c - 2*k = 4*c - 70. What is the least common multiple of 12 and c?
84
Calculate the smallest common multiple of 32 and (3*1)/((-5)/(-8 + -7)).
288
Let a be 4/(-18) + 568/(-36). Find the common denominator of (-6)/(a/58*-2) and -70/9.
72
Let g = -832 - -852. What is the lowest common multiple of 98 and g?
980
Let y = 150/29 + 2009/290. Find the common denominator of y and (-61)/(-6) + -2 + 1.
30
Suppose -s + 4*m + 42 = 0, -2*m + 3*m + 93 = 4*s. What is the lowest common multiple of s and 30/40*(0 - -24)?
198
Calculate the common denominator of 138/36*1/(-12) and 89/108.
216
Suppose -o + 4*a + 44 = 0, -o + 164 = 2*o - 4*a. Suppose -4*j - j = -o. Calculate the smallest common multiple of j and 18.
36
Let z(k) = -k**2 - 11*k + 8. Let x be z(-12). Find the common denominator of -3/7 and ((-2)/9)/(x/444).
21
Let g(v) = 2*v**2 - 2*v + 1. Calculate the lowest common multiple of 4 and g(1).
4
Let w = 75859/10 - 7594. Calculate the common denominator of w and 3/512.
2560
Let r = 26 + -24. Suppose 4*m = -3*z + 8, -4*m = 4*z - 2 - r. Calculate the least common multiple of 1 and m.
5
Let d = 87/176 + 19/16. Let q = 24347/13 + -3749/2. Calculate the common denominator of q and d.
286
Suppose 0 = h + 6*h - 7. Find the common denominator of -13/6 and (-21)/(-2)*h/3.
6
Calculate the least common multiple of (20/7)/(16/112) and 86.
860
Suppose 0 = 3*i + 5*u - 516, -23*i + 18*i - 4*u + 860 = 0. Calculate the smallest common multiple of i and 32.
1376
Let c(s) be the first derivative of s**4/4 + 3*s**3 + 9*s**2/2 + 18*s - 12. What is the least common multiple of c(-8) and 2?
10
Find the common denominator of (-119)/30 + (-1 - 0) and (392/12)/((-1)/((-1)/(-22))).
330
Suppose m + 5*f = 24, -2*m + 2*f + 24 = -0*f. Suppose 36 = o + 2. Calculate the least common multiple of o and m.
238
Suppose 0 = n - 4 - 0. Suppose 5 = g - o, -4*g + 38 - 2 = 4*o. Suppose -g*m = -2*m - 35. What is the lowest common multiple of n and m?
28
Suppose 0 = 2*o + 3*u - 471, 0 = -5*u + 114 - 89. What is the lowest common multiple of o and 152?
456
Let h(p) = -p**3 + 9*p**2 - 3. Let s be h(9). Let y(v) = 4*v**2 - 9*v + 9. Let x be y(5). What is the common denominator of -19/5 and x/11 + (-5 - s)?
55
Let x = 10 - -10. Suppose -4*t = -2*o - 32 + 12, 4*o = 4*t - x. Suppose t*h - 5 = -3*w, 4*h - 4*w = 11 + 25. What is the smallest common multiple of h and 10?
20
Let i be 3063/(-2)*(-70)/(-5). Let a = i + 193736/9. Let c = a - 17405/198. Calculate the common denominator of c and -99/20.
220
Let k be (-935