
Let i(o) = -8*o**3 - 2*o**2 + 2. What is the smallest common multiple of i(-1) and 298?
1192
Let f be ((-1)/(-3))/(13/(-8)). Let z = -47599 - -1237731/26. Let l = f + z. What is the common denominator of l and -61/5?
30
Let q(o) = -o**3 + 11*o**2 - 11*o + 19. Let p be q(10). Suppose -z + 34 = 3*t - 3*z, -2*t - p = 5*z. What is the smallest common multiple of t and 22?
88
Let o = -162353/30 + 5411. What is the common denominator of -49/10 and o?
30
Let p(y) = 15*y + 9. Let u be p(-9). Let l = 761/6 + u. Calculate the common denominator of l and 41/19.
114
Suppose -8 = 3*x - 7*x. What is the smallest common multiple of 8 + 378/(-49) - 204/(-21) and x?
10
Let y = 11 - 7. Find the common denominator of 2/y*(-58)/8 and -13/11.
88
Let q be (-2)/4 - 2159223/(-387860). Let w = 30/1763 - q. What is the common denominator of w and 38/9?
180
Calculate the lowest common multiple of 0 - -14 - 4*(-13 + 12) and 516.
1548
Let z = -13 + 23. Suppose -2*j = -68 + z. Suppose -4*v + j = -27. What is the lowest common multiple of v and 20?
140
Suppose 2*x - 5*s = 0, s + 0*s - 44 = -4*x. Calculate the least common multiple of 80 and x.
80
Suppose 0 = -5*g + 2*g - p + 21, p = -3. Suppose -g*h + 4*h + 68 = 0. Calculate the common denominator of h and -51/4.
4
Let j(a) = -a**2 - 40*a - 87. What is the smallest common multiple of j(-35) and 8?
88
Let z = 8 - 12. Let j = 7 + z. Let k = 0 - -5. Calculate the least common multiple of j and k.
15
Suppose -4*i - 7 + 35 = 0. Let d(h) = 3*h + 28. What is the least common multiple of d(-7) and i?
7
Suppose -9*v + 11 = -16. Suppose -8 = u - v*u. Calculate the lowest common multiple of 25 and u.
100
Let w(q) = q**3 - 6*q**2 - q + 8. Suppose 3*u + 1 = -4*v + 38, 2*u = -2. Calculate the smallest common multiple of 12/(-30) - (-24)/v and w(6).
2
Let i(q) = -q**3 - 13*q**2 - 5*q + 116. Let b = -2 - -2. Let u(h) = -h + 22. What is the smallest common multiple of u(b) and i(-12)?
352
What is the lowest common multiple of 290 and -37 + 42 + 39/(0 + 3)?
2610
Let m(p) = 2*p**2 - 8*p - 2. Let o = 10 + -2. Let q be m(o). Calculate the common denominator of -29/2 and q/(-4) + (2 - 4).
2
Let g = 184 - 162. What is the least common multiple of g and 112?
1232
Let f = 10 - 6. Suppose 3*a + a + 2 = -5*n, -f*n + 4*a = -20. Calculate the least common multiple of 7 and (n/(-4))/((-19)/152).
28
Suppose -41 + 65 = 4*w. What is the lowest common multiple of 3 and w?
6
Let y be ((-20)/(-2))/(12/(-327)). Let t = 43 - 294. Let u = y - t. Find the common denominator of u and 67/10.
10
Let p be ((-1 + 2)*-1)/((-220)/(-1009)). Let w = 159/20 + p. What is the common denominator of w and -81/28?
308
Let i = 92065/73128 + 2/831. What is the common denominator of -109/220 and i?
440
Let i = -44 + 48. What is the common denominator of -85*((-9)/(-30))/((-3)/i) and -43/4?
4
Calculate the common denominator of 4 + (8890/(-750) - -7) and -4/115.
1725
Suppose 0 = -4*x - 4*t - 16 - 8, -5*t + 2 = x. Find the common denominator of 21/4 and ((-3)/x + 2)/(90/(-280)).
36
Let w = -43218 - -9724069/225. Calculate the common denominator of w and 47/50.
450
Suppose 4*n - 31 = 2*d + 1, 2*d = 5*n - 40. Let t = 101 - 98. Suppose -3*o + 125 + 57 = 5*i, -3*i - t*o = -114. What is the smallest common multiple of n and i?
136
Let r(u) = -u**2 - 27*u - 134. Calculate the smallest common multiple of 152 and r(-8).
1368
Let v(n) = n**2 + 17*n + 4. Let x be v(-17). Suppose -4*r + r + 14 = x*a, 0 = -5*r + 5*a. What is the least common multiple of r and 4?
4
Let l(c) = c**2 - 3*c + 2. Let a(p) = p**2. Suppose 5*t + 6 = -t. What is the lowest common multiple of l(3) and a(t)?
2
Let c = 1/19741 - -1520045/236892. Calculate the common denominator of c and 25/728.
2184
What is the common denominator of -137/12 and 517/396 - (-1 - (0 - -1))?
36
Suppose -3*l + 11 = -13. Let f be 324/l*4/3. Find the common denominator of 2 - 3/f*-65 and 81/8.
72
Let b = 5533490 - 60819062/11. Let y = -4488 + b. Calculate the common denominator of -21/17 and y.
187
Calculate the smallest common multiple of 1/(4/248) + (3 - -3) and 12.
204
Let l = -1 - 25. Suppose -4*y = 5*r - 27, -3*r - y - y + 17 = 0. Calculate the lowest common multiple of r and l/(-22) - (-2)/(-11).
7
Let g = -11943392 + 8527591937/714. Let z = g + -108/119. Let r = -12577/4 - -3124. What is the common denominator of r and z?
12
Let x(b) = 3*b + 25. Let r be x(-10). What is the lowest common multiple of (r/((-100)/16))/((-1)/(-25)) and 2?
20
Let g(t) = 20*t**2 + 22*t**2 - t - 45*t**2 - 1 - 3*t**3. What is the lowest common multiple of 12 and g(-3)?
168
Let b(z) = -4 + z**2 + 2 - 10*z + 3 + 2. Let p be b(9). Let v = p - -14. What is the lowest common multiple of 10 and v?
40
Let c = 5 - 0. Suppose -2*n - 24 = -c*n. What is the least common multiple of 1 + (-92)/(-12) - (-4)/12 and n?
72
Find the common denominator of ((-4550)/1212)/(-7) + (-15)/45 and -47/20.
2020
Suppose 678 - 2892 = -41*w. What is the least common multiple of w and 60?
540
Calculate the common denominator of (-3 + 4)*4/(-80) and 18*5/44 + -1.
220
Let n be 1/3*(-3 - -15). Let z(q) = q**3 - 3*q**2 - 4*q + 8. What is the smallest common multiple of 40/25*10/4 and z(n)?
8
Let m be (-1)/(-5) - (-9202)/(-10). Let g be 22/77 + m/(-14). Suppose -5*r = -g + 16. What is the lowest common multiple of 4 and r?
20
Let i(n) be the first derivative of 5*n**2/2 + 46*n + 43. Calculate the lowest common multiple of i(0) and 16.
368
Let k(z) be the third derivative of z**6/120 + 7*z**5/60 + z**4/24 + 3*z**3/2 + 5*z**2. What is the smallest common multiple of 18 and k(-7)?
18
Let j(d) = 2*d - 6. Let a be j(8). Suppose -4*f + 40 = -4*n, a = 2*f - 3*n - 10. What is the least common multiple of f and 30?
30
Suppose 0 = -5*z + l - 9, 3*l - 2*l = -1. Let y be z/(-4)*(-2 + 2). Suppose 4*w - 3*w - 2 = y. What is the lowest common multiple of w and 20?
20
Suppose -v = -4*c - 10, -3*v - 22 = -2*c - 72. Let s = 1895/108 - -73/27. Calculate the common denominator of ((-33)/v)/11*71 and s.
12
Let j = -3 - -129. What is the common denominator of 39/20 and 29/(-319)*j/4?
220
Let g = -10 - -44. Calculate the smallest common multiple of 22 and g.
374
Suppose 0 = 2*r - 3*r + 14. Calculate the common denominator of ((-108)/32)/(-3)*220/15 and (r/(-72))/(2/114).
12
Suppose -50 = -u - 130. Let m = 11995/4554 - -1/414. Find the common denominator of (-6)/(-10)*u/15 and m.
55
Let q = -398 + 500. Calculate the smallest common multiple of q and 36.
612
Let w be (-3)/2 + 6726/4476. Let u = w + 16783/746. Let m = -105/17 - 917/102. What is the common denominator of m and u?
6
Suppose -5*m - 4*n - 1 = -n, -4*n - 9 = -m. What is the least common multiple of m and 214?
214
Let n be (3 - 4)*(4 - 2). Calculate the common denominator of -44 and 0 - 12/(n - (-33)/9).
5
Let i = 52860 + -5074637/96. Calculate the common denominator of 181/240 and i.
480
Let y = -2014007/469272 - -2/19553. What is the common denominator of y and 17/12?
24
Suppose v - k + 3 = 32, -128 = -4*v + k. Calculate the lowest common multiple of 39 and v.
429
Suppose -3*r = -o - 5, 1 = r + o - 2. What is the lowest common multiple of (-4 + 32/7)*14 and r?
8
Suppose -4*k - 2*p = -18, -3*k - k = -2*p - 22. Let m(g) = 2*g**2 + 8*g - 7. Calculate the least common multiple of m(-5) and k.
15
Let h be -9 + (-140)/(-15) + (-4066)/9. Let i = -4601711/10011 - 4/3337. Let j = i - h. What is the common denominator of j and -101/8?
72
Suppose 39*p - 198 = 75. What is the smallest common multiple of p and 2?
14
Suppose 6*y + 2127 - 2151 = 0. Let z(i) = i**2 + 6*i - 2. Calculate the least common multiple of y and z(-7).
20
Let v = -47 + 33. Let l = v + 16. Suppose -2*h = -5*q - 34, 0*q = q - l. What is the lowest common multiple of h and 2?
22
Let i = 293 - 9969/34. Let d = -78 - -218/3. What is the common denominator of d and i?
102
Let d(v) = -3*v**3 - v**2 - v + 1. What is the least common multiple of 42 and d(-1)?
84
Suppose 61320 = 8*l - 14*l. Let w = l + 102299/10. Let n = -355/11 - -61/22. What is the common denominator of n and w?
10
Suppose g - 2*z - 13 = z, z = -4*g + 117. Suppose 15 = -5*y, -3*a + 4*y - 11 - 19 = 0. Let h = g + a. What is the least common multiple of h and 34?
238
What is the common denominator of 49/44 and (-23)/(-34) - (-99 - -97)?
748
