Suppose 4*y + 4 = 2*o - 5*o, 2*y - 12 = -5*o. Calculate the smallest common multiple of f(10) and o.
84
Let k(r) = -r**2 + 26*r - 100. Calculate the smallest common multiple of 16 and k(21).
80
Let a = -61885 + 13614739/220. What is the common denominator of -61/22 and a?
220
Calculate the smallest common multiple of ((-5)/(15/(-6)))/((-8)/(-560)) and 98.
980
Suppose 0 = -a - 3*r + 15, -58*r + 59*r + 23 = 2*a. Suppose 2*o = 5*d - d + 4, 5*o - 24 = -4*d. Calculate the lowest common multiple of a and o.
12
What is the smallest common multiple of ((-24)/(-20))/6 + 318/10 and 16?
32
Let o = -39 + 75. Calculate the least common multiple of 33 and o.
396
Let b(f) = f**2 + 4*f - 4. Let y be b(-5). What is the common denominator of -95/16 and y*(-4)/2 - (-5)/4?
16
Let v = -1437/4 + 347. Let y = 147/8 + v. Calculate the common denominator of y and -8.
8
Let n = 106 + -48. Calculate the least common multiple of n and 4.
116
Let v = 615 - 1331. Find the common denominator of 3/8 and (-2)/((v/(-236))/1 + -1).
120
Suppose -3*a = -4*a + 2. Suppose -a*c - 789 = 27. Find the common denominator of (c/56)/(4/(-7)) and 59/22.
44
Let i = -123 + 135. Suppose -31*t = -34*t + i. What is the smallest common multiple of 2 and t?
4
Suppose 37 = -5*a - 3*b, 5*a + 51 = b + 10. Calculate the lowest common multiple of 40 and (3 + a/(-3) + -3)*9.
120
Suppose q - 4 = -18. Calculate the common denominator of 35/11 and q/56 - (-19)/(-1).
44
Let z = -317467/22 + 14434. Let t = 234423110112 + -7783784947469873/33204. Let g = -2/8301 - t. Calculate the common denominator of g and z.
44
Suppose 9 + 1 = 10*j. Calculate the common denominator of -43*4/(-16) + (-1 - j) and 1/10.
20
Let i = -6 + 9. Suppose 0 = -0*k - i*k + 6. Suppose 3*o + 3*p - p - 16 = 0, -k*p = 5*o - 32. Calculate the least common multiple of o and 2.
8
What is the smallest common multiple of 68 and (420/(-175))/((-2)/10)?
204
Suppose 3*w - 9 = -3*t, w - 2*t = -w + 6. Suppose -w*y + 29 = -0*i - 4*i, -4*i = -y + 7. Let d = 15 + -8. Calculate the lowest common multiple of y and d.
77
Suppose 0 = -3*b + 4*b + 114. Find the common denominator of 4/(-30) - 14/(-1155)*b and 41/12.
132
Let f = 628 + -624. Calculate the common denominator of 47 and f.
1
Suppose d = -3*c - 79, 4*c + 340 = -0*d - 5*d. Calculate the common denominator of (d - (1 + 0))/(34 - 58) and -29/30.
120
Let m = -16669517/10 - -1668751. Let f = 1832 - m. Let k = f + -1/5. Find the common denominator of 93/14 and k.
14
Suppose -2*p + 156 = 4*o, -6*o + 7*o - 4*p = 48. What is the lowest common multiple of o and 444?
4440
Let t(n) = n**2 + n - 5. Let x(m) = m - 10. Let a be x(10). Suppose 3*l - r + 5 = a, -2*l - r + 11 = -7*l. What is the lowest common multiple of t(l) and 8?
8
Find the common denominator of (-1)/14*(-583)/530 and -12/35.
140
Let b = -26 + 188. Calculate the smallest common multiple of 234 and b.
2106
Let v(y) be the first derivative of -y**4/4 - 4*y**3/3 + y**2/2 - y - 7. Let g be v(-4). Find the common denominator of 59/12 and 423/6*g/(-30).
12
Let n be (409197/(-20))/(3/2). Let x = -13651 - n. Find the common denominator of -75/14 and x.
70
Let x(a) = -5*a - 4. Let s be x(-5). What is the common denominator of 77/16 and ((-226)/(-6))/(140/s)?
80
Suppose 3*u - 193 - 34 = -5*x, 0 = -5*u + 3*x + 435. What is the smallest common multiple of u and 18?
252
What is the common denominator of (-28)/238 + 8614/(-1632) + 3 and 1?
48
Let i(n) = 2*n - 21. Let y = 116 + -108. What is the least common multiple of y and i(14)?
56
Suppose 79*a + 45 = 84*a. Let y(h) = -h**3 + 8*h**2 + 12*h - 19. Calculate the lowest common multiple of y(a) and 22.
88
Let j be (4 + 18/(-12))*28/10. What is the common denominator of (7 - j) + 38/42 and -19/2?
42
Calculate the least common multiple of (-15 - (-50)/(-10))*16/(-20) and 4.
16
Let g(a) = -11*a**3 - a - 1. Suppose -39*v - 63 = -46*v. Calculate the smallest common multiple of g(-1) and v.
99
Let z be 8*9/(-6)*-1. What is the least common multiple of 6*1*z/6 and 12?
12
Suppose 2 - 22 = -4*f. Let w(s) = s + 9. Let o be w(-5). Suppose -o*r + 1 = -7. Calculate the least common multiple of f and r.
10
Let u = 175 - 151. What is the least common multiple of u and 20?
120
Calculate the common denominator of 6/(-308) - (-16)/32 and -7/11.
77
Let u be (-3991)/1320 + (-6)/15. Let t be 11/44*6/220. Let x = u + t. What is the common denominator of x and 45/8?
24
Let y = -28 + 30. Let i be y/6*15*15. Calculate the smallest common multiple of 10 and i/6 - 3/2.
110
Calculate the smallest common multiple of 36 and (-2)/16 + (-11849)/(-328).
36
Let v = -18871 - -264305/14. Let n = 31857449/66 + -482715. Let m = 50/11 + n. What is the common denominator of v and m?
42
Let p = -360 - -326. What is the common denominator of p and 58/77?
77
Let f be (-5)/2 - (-2)/(-4) - -3. Suppose -18*p + 35 + 451 = f. What is the lowest common multiple of 27 and p?
27
What is the smallest common multiple of (-1572)/(-78) - ((-123)/(-39) - 3) and 2?
20
Let o = 86/55 + -2141/1320. What is the common denominator of 21/64 and o?
960
Let o = 45 + -39. Calculate the smallest common multiple of 3 - -18 - 1/1 and o.
60
What is the common denominator of (4/(-210))/(888/(-370)) and 115/48?
1008
Let j be (12/(-5))/(-1 - 18/(-30)). Suppose -j = -5*x + 4. Calculate the lowest common multiple of x and 18.
18
Suppose 9 = f - n, 0 = -4*f - n + 4*n + 36. What is the smallest common multiple of f and 7?
63
Suppose -5*p + 55 = 3*y + 2*y, 5*p - y - 61 = 0. Let w = 16 - p. Suppose -13 = -w*t + 11. What is the lowest common multiple of t and 18?
18
Let z(h) = -h**3 - 31*h**2 - 60*h - 7. Calculate the smallest common multiple of 261 and z(-29).
4437
Suppose -2 + 23 = k. Let r(q) = -19*q - 68. What is the smallest common multiple of r(-5) and k?
189
Suppose 114*u = 110*u + 120. Suppose -5*c = -5*o - 0*o + 75, -3*o - c + 33 = 0. Calculate the least common multiple of u and o.
60
Let t = 3611 + -25229/7. Let i = -451415/4 + 113522. Let m = 657 - i. What is the common denominator of m and t?
28
Let u(i) = 1. Let z(h) = 12*h - 2. Let f(y) = -2*u(y) - z(y). Let o be f(-3). What is the common denominator of o/7 + 1 + 2 and -71/10?
70
Let n be (-1)/(-23 - 2)*(-8830)/(-88). Let m = n - 5/44. Find the common denominator of m and -5/6.
30
Suppose 160 = -9*b - 142 + 356. Suppose j = -4, 5*x = -4*j + 49 + 65. What is the lowest common multiple of b and x?
78
Let r(l) = 2*l**3 - 6*l**2 + 3*l - 3. Let u be r(3). Let t(o) = -o**2 + 4*o + 18. What is the lowest common multiple of 4 and t(u)?
12
Let x(u) = -4*u - 4. Calculate the lowest common multiple of 22 and x(-5).
176
What is the common denominator of 5/(55/32) + 42/(-14) and -62/455?
5005
Suppose k = 1, 110 = 5*h + 5*k - 165. Suppose -r - 2*r = -h. Let c = -6140 - -6144. Calculate the lowest common multiple of c and r.
36
Suppose 22*g = -17*g + 4875. Calculate the lowest common multiple of 70 and g.
1750
Let v = -20/21 + 377/462. Find the common denominator of -29/244 and v.
2684
What is the common denominator of (14 - 8) + 1374/(-120) and (166/(-10))/(18/5)?
180
Let r = -88 + 124. Let o = 70 + -50. What is the smallest common multiple of r and o?
180
Suppose -4*c - 9 = -25. Calculate the common denominator of -73/8 and (-3)/(60/137) + c.
40
Let h = 4870 + -4862. Let c(b) = -b**3 - 2*b**2 + 2*b + 4. Calculate the smallest common multiple of c(-3) and h.
56
Let x = -107707/15610 + -1/7805. Find the common denominator of x and 59/180.
180
Let t = 15 + -11. Let v(c) be the first derivative of c**2/2 - 6*c + 55. What is the smallest common multiple of v(10) and t?
4
Suppose -27*a + 558 = 4*a. What is the lowest common multiple of a and 90?
90
Suppose 5*y + 4*k - 70040 = 0, 5*k - 70045 = 3*y - 8*y. Let i be 1 - 1/(8/y). Let x = i - -1798. Calculate the common denominator of 0 and x.
2
Suppose y - 4*t = -47 + 17, y + t = -10. Find the common denominator of y/(-16)*(-315)/(-245) and -43/32.
32
Let t(b) = -3*b + 169 - 98 - 3*b**2 - 73 + b**3. Suppose -3*n + 14 - 2 = 0. What is the lowest common multiple of t(n) and 14?
14
What is the common denominator of 57/40 and (-4208)/2520 - 12/42?
360
Let j(k) = 17*k**2 + k. Suppose t + 22 - 32 = 0. Let l = 10 + t. Calculate the smallest common multiple of l and j(-1).
80
Let y(v) = 2*v + 2. Let 