 and 2114/4 - (-6)/4.
530
Suppose 250 = -5*g + 5*m, 142 = -3*g - m + 2*m. Let d = g - -67. Calculate the lowest common multiple of 24 and d.
168
Let m be (-18 - 3)*1 + -4. Let i = m + 22. Let w(x) = -x**3 - x**2 + 3*x + 7. Calculate the smallest common multiple of w(i) and 6.
48
What is the common denominator of 79/60 and (0 - (-1449)/140) + -6?
60
Suppose 5*k = 4*v + 21, -223*v + 221*v + 2*k - 8 = 0. What is the least common multiple of v and 1125?
1125
Suppose -18 = -4*p - 3*b, p + 4*b = 2*p - 14. Suppose 8 = 2*y - p. What is the least common multiple of (28/(-49))/((-2)/y) and 12?
12
Suppose -5*s + 250 = -3*s + 2*a, 2*s + 3*a - 250 = 0. What is the smallest common multiple of 40 and s?
1000
Let r(x) = x**3 + 5*x**2 - x + 1. Let h be r(-5). Calculate the common denominator of ((-1)/h - -1)/(-2) and (-3180)/(-1155) + (-8)/14.
132
Let g(d) = 21*d - 57. Calculate the lowest common multiple of 12 and g(11).
348
Suppose -6*y = -17 + 11. Calculate the common denominator of ((-4728)/1620 - 4/(-10)) + y and 37/15.
135
Let x = -182683/13788 - 2/3447. What is the common denominator of -45/89 and x?
356
Let i(p) = 686*p - 2. Let u be i(-2). Calculate the common denominator of (-69)/44 + 3/12 and u/(-336) + 4/14.
88
Let n be -1 + 1 + 3*849. Let k = -30703/12 + n. Calculate the common denominator of k and (-162)/(-4)*836/(-3344).
24
Let o be ((-15495)/(-34))/3*(-24)/30. Let u = -22837/204 - o. What is the common denominator of 105/26 and u?
156
Let r(t) = t**3 - 13*t**2 + 2*t - 24. Let b be r(14). Suppose -b = -2*p - 0*p. What is the lowest common multiple of 5 and p?
100
Let z(y) = -3*y - 8. Let a(x) be the second derivative of x**4/12 + x**3/6 - 7*x**2/2 + 8*x. What is the least common multiple of z(-6) and a(-4)?
10
Suppose -2*n - 6 + 14 = 0. Suppose -3*v + 5*v + 2 = 2*s, 4*v - 20 = -2*s. Suppose -2*t + 11 = -v. What is the smallest common multiple of t and n?
28
Let n be 16/(-36)*2947355/351880. Let j = n - -4/8797. Calculate the common denominator of 3/7 and j.
126
Let n be -1 + 3244/(-2632) - -1. Let b = n + 6/329. Calculate the common denominator of 494/60 - (-3)/(-9) and b.
70
Let u = 23 - 4. Suppose 0 = 2*f + 5*h - 16, 5*f + 4*h - 4 = u. Calculate the common denominator of f - (-124)/(-32) - 3 and 71/16.
16
Let y = -9684/925 - -643/74. Calculate the common denominator of y and -23/55.
550
Suppose -4*f - 80 = 4*f. Let d = f + 15. Let o = 23 + -14. Calculate the least common multiple of o and d.
45
Let x = -8 + 11. Let j = -1 - x. What is the common denominator of ((-2)/j)/(1/(-88)) and 19/4?
4
Let h be -3 + 17628/(-16) - 4. Let x = -1088 - h. Find the common denominator of 35/3 and x.
12
Let w be (-50447)/12 + (-3)/12. Suppose -5*b - 30090 = -9130. Let a = b - w. What is the common denominator of a and -13/12?
12
Let h = -18575/8021 + 5/617. What is the common denominator of -85/4 and h?
52
Let g = 333691847/60 - 16638739/3. Let f = 15289 - g. Let r = -9501/80 + 606/5. What is the common denominator of f and r?
80
Let s = -4169/1830 - -15/244. Find the common denominator of 43/144 and s.
720
Let x(j) = -12*j**3 + 2*j**2 - 16*j + 10. Let l be x(12). Let r = -371249/18 - l. Find the common denominator of r and -51/14.
126
Let l = -10472 + 377053/36. What is the common denominator of l and 29/12?
36
Suppose 0 = -0*u + 3*u - 18. Let q(x) = 10*x**3 + 2*x**2 + 5*x - 10. Let w be q(2). What is the smallest common multiple of w/14 + u/(-21) and 1?
6
Suppose -5*j = 5*p - 5630, 0*j = 2*j. Let r be ((-1)/(-2))/(1/p). What is the common denominator of 25/14 and (-4)/26 - r/(-26)?
14
Let d = 19 + -53. Calculate the smallest common multiple of (493/d)/((-2)/4) and 1.
29
Let m be -2 - 6/(-30)*0. What is the common denominator of -2*(-10)/(-32) - 1 and ((-60)/(-495))/(m/39)?
88
Find the common denominator of (9052/(-9920))/(2/5) and 13/160.
160
Let n = -16/493 - -23315/4437. What is the common denominator of n and -56/135?
135
Let i(n) = -16*n + 2. Let p be i(-6). Find the common denominator of (-1)/((-258)/p - -3) and -95/6.
18
Suppose 3*x = 28 + 11. Let z = x + -9. Suppose 3*u + 5*s = 55, 0*s + 50 = z*u + 2*s. Calculate the lowest common multiple of 8 and u.
40
Let y = 7270 + -218051/30. Find the common denominator of y and -56/11.
330
Let b = 3/1369 - -9571/5476. Find the common denominator of b and ((-29)/(-8) - 0) + -2.
8
Let o(j) = j**3 - 4*j + 3. What is the smallest common multiple of o(2) and 9*(-17)/204*-8*1?
6
Let i be (5233/9)/(-2 - (-111)/60). Let a = i + 3879. Calculate the common denominator of -35/12 and a.
108
Let h = 881339/138 + -6387. Find the common denominator of 83/48 and h.
1104
Let q(n) = n**2 - 4*n + 6. Suppose 0 = -3*w - 4*l + 3*l - 18, -5*w - 30 = -l. Let p be w/(-2) + (6 - 5). Calculate the least common multiple of q(p) and 2.
6
What is the least common multiple of 60 + 1 - (-27 + 31) and 21?
399
Let k = 6361302/2729 + -2331. Let j be (-8860)/81870*((-2643)/24)/(-1). Let n = j + k. Find the common denominator of n and 97/6.
12
Let w be ((-8364)/(-21) - -3) + 4/(-14). Suppose -9*q + w = -67. Calculate the least common multiple of 8 and q.
104
Let f = -174061/18 + 9674. Find the common denominator of ((-339)/(-9))/((-60)/9) and f.
180
Let q = 15 - 11. Suppose 3 = x, 2*s - x + 13 = q*s. Let p(w) = -w**3 + 4*w**2 + 7*w + 1. Calculate the smallest common multiple of p(s) and 7.
77
Let z = 1323/2 - 692. Find the common denominator of z and 26*(-5)/60 + 7.
6
Let j(f) = f**3 - f**2 + 1. Calculate the lowest common multiple of (-7)/14*(-1)/((-16)/12)*-16 and j(1).
6
Suppose 0 = n + 4*q - 388, -5*n - q = 4*q - 1865. What is the least common multiple of 276 and n?
1104
Calculate the common denominator of -49/10 and 5 - 295/60 - -6.
60
Let k = 2 + 0. Suppose -2*m + 20 = k*m. Calculate the lowest common multiple of (6/(-75) - 138/150) + 10 and m.
45
Suppose 5*d - 3 = 22. Suppose 5*f = -4*p + 28, 0*f + d*f - 4 = -2*p. Suppose 3*x + x = 56. Calculate the smallest common multiple of p and x.
84
Let w = 6327329/6 + -2789949/2. Let s = w - -343680. Let t = s + -215389/66. What is the common denominator of 9/14 and t?
154
Suppose 0 = -l + 5*k + 4441, -5*l + 7706 = 5*k - 14619. Let g = -93650/21 + l. What is the common denominator of g and 83/33?
231
Suppose -31*g + 34*g - 96 = 0. Suppose -z + 3*z - g = -2*b, 5*b = -4*z + 69. What is the lowest common multiple of z and 5?
55
Suppose 2*n + 154 - 782 = -3*w, 4*n + w = 1266. Let x = n + -2202/7. What is the common denominator of -85/8 and x?
56
Let w = 1/974 - 20943/1948. Let p = 2466 + -17209/7. Calculate the common denominator of w and p.
28
Suppose -4 = -x - n, 2*n - 2 + 4 = 0. Suppose 31 + x = 4*i. Suppose 0 = 6*r - 27 - i. Calculate the smallest common multiple of 2 and r.
6
Suppose 4*u - 4*j - 2 = -2*j, -2*j - 18 = 4*u. Suppose w = 6*w - 105. What is the smallest common multiple of w and u - (-2)/(8/12)?
21
Suppose -5*w + 0*w - 5 = 0. Let a(l) = -7*l**3 + l**2 + 2*l + 1. Calculate the least common multiple of 22 and a(w).
154
Let d = -6/425 + 13642/2975. Let f(h) be the third derivative of h**5/60 - h**4/12 - 5*h**3/6 + h**2. Calculate the common denominator of d and f(5).
7
Suppose -z - 2*z = -15. Suppose 0 = -3*o - 3*n, o - 4*o + 3*n = -18. Calculate the lowest common multiple of o and z.
15
Calculate the common denominator of 7/116 and (1*(-12)/(-18))/((-64)/378).
464
Let l be 0 - (-6)/9 - (-2547)/378. Let c = -2/21 - l. What is the common denominator of c and (195/2)/(-3) - 0?
2
Let g(l) = -2*l + 4. Let i be ((-22)/(-4) - 6)*-10. Suppose 5*x - i*t = 7*x - 19, x + t = 11. What is the least common multiple of g(-4) and x?
12
Suppose -109 + 45 = 2*i. Let o = -12 - i. Suppose 2 - 8 = -r. What is the least common multiple of r and o?
60
Calculate the common denominator of 85/506 and (20/15)/(-2)*(-85)/184.
3036
Let t = 5650241/8 + -710498. Let s = 4227 + t. Find the common denominator of s and -7/164.
328
Let t be -1 + (-5 - -3) + 7. Let d(z) = 6*z**2 + 3*z - 7. Let x be d(t). Let s = 55 - x. What is the common denominator of 19/8 and s?
8
Let b be 1 + 2/(-4) - (-176655)/270. Suppose 2*n - 1304 = -2*x + n, 0 = -5*x - 4*n + 3260. Let v = b - x. Calculate the common denominator of 1/7 and v.
63
Suppose -m + 33 = -5*n, 2*n + 73 = -m + 4*m. Find the common denominator of (m/3)/((-20)/3) and 83/52.
26