48
Let u = 135 + 75. What is the least common multiple of u and 240?
1680
Suppose 16*n + 32 = 17*n. Suppose 50 = 5*v + 5*l, -41 + 9 = -3*v - 4*l. Calculate the smallest common multiple of v and n.
32
Let o = 62699/8 - 7825. Find the common denominator of 97/54 and o.
216
Let v(h) = 2*h**2 + 11*h - 7. Let b be v(4). Suppose 0 = 8*i - 3 - b. What is the smallest common multiple of 20 and i?
180
Let m = -3053 - -21314/7. Let a = 123/28 + m. Calculate the common denominator of -43/252 and a.
252
Suppose 0 = -97*d + 82*d + 3060. Calculate the smallest common multiple of d and 7.
1428
Let f(b) = 26*b**2 - 3*b - 5. Let m be f(-5). What is the common denominator of 1*(-8)/(-10) + (-114)/m and 31?
110
Suppose -2*r = -4*k + 5 + 15, k + 3*r - 5 = 0. Let d = 9 + -4. Suppose -g = 4*g - d. Calculate the lowest common multiple of g and k.
5
What is the least common multiple of 21336/104 - (-2)/(-13) and 40?
1640
Let b = 5219 - 104417/20. Find the common denominator of b and ((-2)/(-60))/(((-200)/1125)/(12/(-10))).
40
Let y = -181289/35252 + -1/5036. Let d be 22/(-99) + (-26060)/(-117351). Let v = d + 1473419/78234. Calculate the common denominator of y and v.
42
Suppose -r = -3*i + 12, r - 6 = -i + 2. Let b(a) be the first derivative of a**2/2 + 9*a - 3. Calculate the lowest common multiple of b(i) and 18.
126
Suppose j = -2*j + 75. Let p = j + -23. Suppose 0*g + p*g = 12. What is the smallest common multiple of 16 and g?
48
Let y be (-1 + -12)*1593/(-33). Let f = y + -631. Calculate the common denominator of f and -45/14.
154
Calculate the common denominator of -1*206/(-40)*65/78 and -97/12.
24
Let u be ((-1)/4)/((-5)/60). Let x(h) = 3*h - 9 - 10 + u. Calculate the smallest common multiple of x(6) and 2.
2
Let q = -14 + 21. Let t(n) = 20*n**3 - 6*n**2 - 7*n - 6. Let a be t(-4). Find the common denominator of 21/11 and 3/q + a/56.
44
Let w = -1484 - -5915/4. What is the common denominator of 103/948 and w?
948
Let k = -33610 + 3361123/100. Calculate the common denominator of -35/6 and k.
300
Let d(h) = -219*h - 1. What is the lowest common multiple of d(-1) and 2?
218
Suppose -14*g = -13*g + 58. What is the common denominator of 77/4 and (-2)/((64/g)/2)?
8
Suppose -6*m = -2*m - 40. Suppose -9*f = -12*f + 9. What is the smallest common multiple of m and f?
30
Let v = -12429/754 - 6/377. Let f = -43/8 + 15/2. Find the common denominator of v and f.
8
Let w = -249377/24669 + -6/2741. Let x = 29/9 - w. Find the common denominator of x and 469/(-42) - (-2 - -1).
6
What is the common denominator of 3/5 - (-658)/(-180) and 9/(-4)*(-26)/24?
144
Suppose 6 = 4*v - 2. Let r = v + 0. Suppose 0*q - r = -q. Calculate the lowest common multiple of q and 18.
18
Let z = -5/929 + -88185/13006. Let v = 106 - 34. Calculate the common denominator of z and (-48)/v + (-343)/30.
70
Let h(y) = y + 11. Let j be h(-10). Calculate the smallest common multiple of (1 + 4/4)/j and 22.
22
Let x(q) = q**3 - 20*q**2 + 38*q - 31. Calculate the smallest common multiple of 3 and x(18).
15
Let u(b) = -3*b - 9. Calculate the least common multiple of 9 and u(-8).
45
Let g = -4528 - -45331/10. Let x = -32 + 58. What is the common denominator of g and 1205/x + 6/39?
10
Let x = 6/1955 + -91951/21505. Calculate the common denominator of x and 650/36 - (-10)/(-45).
66
Suppose 38106 = 6*v - 3*v. Let w = 152575/12 - v. Find the common denominator of w and 49/20.
60
Let g = 5 - -40. Let a be (-1458)/(-1660) + (-36)/g. Let m = -5867/332 - a. Find the common denominator of -26/3 and m.
12
Suppose -5*p - 8 = 22. Calculate the common denominator of 1 + 0 + (5 - (-99)/p) and 119/10.
10
Find the common denominator of 133/36 and 479/105 + (-12)/(3/1).
1260
Let j be (-26)/(-8) - (-1)/(-4). Calculate the least common multiple of (-14)/(-8) + j/12 and 2.
2
Let y = 18 + 15. What is the lowest common multiple of ((-264)/(-154))/(2/14) and y?
132
Suppose -7*s - 385 = -462. Let z(q) = -4*q - 2. Calculate the lowest common multiple of s and z(-3).
110
Let k(n) be the first derivative of 9*n**2/2 - 3*n - 17. What is the smallest common multiple of 57 and k(1)?
114
Let r = -379625/82 + 4629. Find the common denominator of -119/6 and r.
246
Let c = 13273901/346 - 38364. What is the common denominator of c and 87/16?
2768
Suppose 5*r - 78 = -3*g, -35 = -3*r - g + 15. What is the least common multiple of 60 and r?
180
Suppose 0*m = -2*m. Suppose 3*p - 45 = 5*n, -p = -m*p - 2*n - 15. Calculate the lowest common multiple of 8 and (-12)/(-20) - (-96)/p.
56
Let x(v) = -29*v**2 + v - 1. Let h be x(1). Let k = -32 - h. Calculate the least common multiple of 2 and 4/k + (-259)/(-21).
22
Suppose 0 = 5*l + 121 - 31. Let a(z) = -2*z - 25. What is the smallest common multiple of 7 and a(l)?
77
Find the common denominator of -89/10 and ((-2)/72)/(-4*(-1)/388).
180
Suppose 5*p - 8 = -2*b - 3, -4*p = -b - 4. Suppose 0 = 3*i + 6, -k + i + b*i = -18. Calculate the smallest common multiple of k and 10.
80
Let d = 179/203 + 7877/13398. Calculate the common denominator of d and -71/6.
66
Let y = 13 + -8. Suppose 0 = -2*t - 4*g + 50, -2*t - y*g + 4 = -49. Calculate the smallest common multiple of t and 11.
209
What is the common denominator of -130*(30/(-16) - (1 + -3)) and 79/2?
4
Let j = 191198000/71 - 6921003337613/2570058. Let l = -1/6033 - j. What is the common denominator of -101/16 and l?
144
Let m = 928 + -920. Suppose -3*z + 1 = n, -4*n - 12 = -4. Calculate the lowest common multiple of m and z.
8
What is the common denominator of 26/55 and (-9)/(-6)*6*2/45?
55
Let g = 43 + -36. What is the smallest common multiple of g and 13?
91
Let x = 32 - -1821. Let q be (-89126)/(-48) - 2/3. Let i = q - x. Calculate the common denominator of 4/3 and i.
24
Let b = 13 + -2. Suppose -45*y = -115*y + 280. Calculate the least common multiple of y and b.
44
Suppose -5*u - m = -32, -4*u - 2*m + m + 26 = 0. Let o(x) = -9*x - 2. What is the least common multiple of o(-2) and u?
48
Let i = -1052321/78 + 13497. Let c = i - 124/13. Calculate the common denominator of c and -39/10.
30
Suppose 88 = -0*d + 4*d. Calculate the smallest common multiple of d and 16.
176
Let n = -52061/14 + 3722. Let l = -369/5303 + -5047727/2068170. Let x = 62/39 - l. Find the common denominator of n and x.
70
Let r = 74 - 81. What is the least common multiple of 12 and -2*(-1)/r + 10184/266?
228
Let z = 16 + -34. Calculate the common denominator of (-105)/z - 3 - -4 and -109/36.
36
Find the common denominator of -103/154 and 168/242 + 87 + -88.
1694
Let o(a) = 6*a**3. Let m be o(-1). Let p = -149/42 + -85/42. Find the common denominator of p and (-2)/m - 849/(-18).
14
Suppose 6*z = 18 + 66. Calculate the smallest common multiple of z and 8.
56
Let g(o) = -o + 8. Let b be g(2). Suppose 184 = b*v + 4. What is the lowest common multiple of 27 and v?
270
Let m = -146/5 + 19. What is the common denominator of -137/72 and m?
360
Let c = 0 - 3. Let p be c/9 + (-1732)/(-5052). Let a = p - 2979/3368. Find the common denominator of 44/3 and a.
24
Suppose 0 = -z + n + 14, -z - 5 = -3*n - 15. Find the common denominator of ((-4)/z)/(11/(-17)) and 79/16.
176
Let i = -102/13 + 79/78. Calculate the common denominator of -52/21 and i.
42
Let s(r) = -r**3 + 5*r**2 + 4*r - 2. What is the lowest common multiple of s(5) and 126?
126
Suppose -24 = -4*a - 4*r, 0 = 5*a - 6*r + 2*r + 6. Let j be -1 + (7/14)/((-1)/4). What is the least common multiple of 131 - j/(-2 - 1) and a?
130
Let u = -1618/31 - -24284/217. Let i = 7657/126 - u. Calculate the common denominator of -17/21 and i.
126
Suppose 15 = -3*j, -2*g - 3*g - 3*j = -90. Calculate the lowest common multiple of 1 and ((-18)/g)/((-18)/84).
4
Let h(p) = 2*p**2 + 8*p - 15. Let x be h(-9). Suppose x = 5*b + 20. What is the smallest common multiple of b and 45?
495
Let r = 2 - -8. What is the least common multiple of r and (4 + -13 - -7) + 32 + 0?
30
Suppose 0*p = 4*p + p. Find the common denominator of (p - 0) + (-87)/(-24) and 4/11.
88
Let k = 713 - 707. What is the smallest common multiple of 24/(1 - -1) + 0 and k?
12
Let y = -1 + -9. Suppose 4*f + l = -22, -4*f - 3*l + 7 = 25. Let v = f - y. Calculate the least common multiple of v and 22.
44
Suppose 64 = 7*z + 36. Calculate the smallest common multiple of z and 10.
20
Let m be 6/2 + (-1)/((-2)