 the common denominator of -87/10 and (5/(-45))/(5/(-174)).
30
Find the common denominator of -9/25 and 1521/(-165) + 4 - 20/(-4).
275
Suppose -x + 3*x = 2. Let l be 679/21 + x/(-3). Suppose 0 = w - 5*w + l. What is the smallest common multiple of w and 5?
40
Let z(m) = 3*m**2 - 8*m. Let q(j) = j**2 - 5*j - 32. Let r be q(9). What is the smallest common multiple of 16 and z(r)?
16
Let o = -3134811/745292 + -3/8101. Let y = o - -22/23. Find the common denominator of y and -67/6.
12
Suppose 5*c - 14 - 21 = 0. Find the common denominator of (1 + 9/(-60)*c)*7 and -1/12.
60
Suppose -6*y = -2*k - 3*y + 7, -k + 3 = -y. Suppose -2*h + k = -4. Suppose -h*w = -5*w + 6. Calculate the lowest common multiple of w and 6.
6
Let o = 9403/6 - 1578. Calculate the common denominator of o and 161/30.
30
Let h = -28/59 + 1133/3009. Calculate the common denominator of h and -31/85.
255
What is the common denominator of (-7)/(-7) + (-230)/310 and -31/8?
248
Let i(k) = k**3 + 26*k**2 - 26*k + 24. Let c be i(-27). Suppose 0 = 5*z - 96 - 314. Find the common denominator of c - 1/(40/z) and 23/20.
20
Suppose m - 30 = 5*a - 2*a, 4*a + 4 = 0. Suppose -4*z = -i - 9*z + 14, 4*z = -3*i + 31. Calculate the lowest common multiple of i and m.
27
Let s = -30931/44 + 702. Find the common denominator of 31/4 and s.
44
Let d = 2342599/11 - 212790. Let l = -169 + d. Calculate the common denominator of l and -67/3.
33
Let c be 1 + (3 - (-1 + 3)). Suppose 0 = -3*p - c*u + 46, 0 = -p - 2*u + 3 + 7. What is the smallest common multiple of p and 6?
18
Let v = -426/5 + 77577/910. Calculate the common denominator of 65/16 and v.
1456
Let j(z) = -74*z**3 - z**2 - z - 1. Let f be 1*(-4 + 3 + 0). Let c be j(f). Suppose 7 = -3*o + c. Calculate the smallest common multiple of o and 10.
110
Suppose -6 = -3*b - 0. Suppose -18 = -2*f - 2*j, 47 = 5*f + 2*j + b*j. Let m = 2795 - 2791. Calculate the smallest common multiple of m and f.
44
Let a = -19676/9 - -2183. Find the common denominator of 101/184 and a.
1656
Let v = 307/42 + -21299/2730. What is the common denominator of v and -67/39?
195
Calculate the least common multiple of 21 and (0 - -2)*-2 + (5 - -14).
105
Suppose 3 = -2*j - 11. Calculate the common denominator of ((-1)/2)/(j/161) and 1/9.
18
Find the common denominator of -65/296 and 380/(-1056) - (1 - 11/12).
3256
Find the common denominator of 7 + (315/(-28) - 5) and -1/126.
252
Let n = -15 + 143. Suppose -n = 11*w - 15*w. Suppose -p + w = -0*b + 3*b, -b = -5*p + 96. Calculate the lowest common multiple of p and 12.
60
Let w = -49 - -69. What is the least common multiple of 44 and w?
220
Let f = -53 - -47. Let s(t) = 3*t + 20. Let j = -2 + 8. What is the lowest common multiple of j and s(f)?
6
Suppose 0*d - 28 = -2*x + 5*d, -5*x = -5*d - 70. What is the lowest common multiple of x and 7 - (49/(-7) - -2)?
84
Suppose -5*k + 18 + 2 = 0. Suppose 5*j + t = 86, 2*j - 9 = -k*t + 11. Calculate the least common multiple of j and 9.
18
Suppose -3*o = -5*h - 1 + 46, 3*h - 46 = -2*o. Let x be 5/(-5) - (-11386)/h. Let i = x - 962. Find the common denominator of i and 45/8.
24
Let t = 32529/38170 + -11/694. What is the common denominator of t and -46/55?
55
Find the common denominator of ((-3924)/540)/((-168)/(-10)) and -109/12.
252
Suppose 0 = 12*y - 225 - 111. Calculate the least common multiple of 14 and y.
28
Let m = -3276488637 + 39154039299381/11950. Let y = m + 2/5975. Find the common denominator of y and (-2)/(-11) + (-18416)/3520.
20
Suppose 4*m - 62 = 5*t, -2*t - 92 = -5*m - 3*t. Suppose 40 = -0*v + 2*v. Let g(z) = z - 8. Calculate the lowest common multiple of m and g(v).
36
Let k be 0 - (2 + (2 - 3)). Let c(q) = q**3 + q**2 - 2*q - 1. Let g be c(k). Find the common denominator of -137/6 and -3*g + (-306)/(-40).
60
Suppose 3*a + n - 5 = 3*n, a - 2*n - 7 = 0. Calculate the common denominator of (210/(-58))/(1 + a + -4) and -121/10.
580
Let q be 4/10 + (-24)/(-15). Suppose 5*r = -10, -5*u = q*r - 3*r - 27. Calculate the lowest common multiple of u and 38.
190
Suppose 3*t = -2*z + 17 + 9, -2 = -2*z. Suppose -2*b + t = -6. What is the least common multiple of b/3 + (-16)/48 and 2?
2
Let f(r) = -21*r**2 + 4*r + 4. Let y be f(-2). What is the common denominator of -57/8 and (-212)/y*1*2?
88
Let g be 3 + 1 - 2 - (-8 - -4). Let z(t) = 5*t - 1. Let p be z(1). Suppose -c = -p*c + g, 5*c - 50 = -4*k. What is the least common multiple of 2 and k?
10
What is the common denominator of 22/187 - 21/85 and 59/55?
935
Suppose -i = -2*h + 408, 602 = -h + 4*h + i. Let k be h/95 + (-4 - -2). Let g = -299/190 - k. Find the common denominator of -50/9 and g.
90
Let r = -515 + 1977/4. Find the common denominator of 95/212 and r.
212
Suppose -480 = -m + 6*m. Let r be -1*(-8)/(-4)*-1. Calculate the common denominator of (472/m)/(r/(-6)) and -43/4.
4
Let a(m) = 10*m - 18*m + 3 + 10 + 7*m. Calculate the least common multiple of 22/1*-1*-1 and a(-9).
22
Calculate the common denominator of 10/(-2) - (-870)/(-150) and 89/2.
10
Suppose 0 = -4*z + t + 73, 80 = 5*z + 3*t - 7. Suppose z = 5*m - 187. Let w = 2 - m. Find the common denominator of w and 7/3.
3
Suppose 0 = -3*k + 57 - 27. Suppose 2*g - 16 = -m + 3*g, 2*g = -k. What is the lowest common multiple of 21 and m?
231
Find the common denominator of 1/40 and 278/(-204) + 16*(-15)/(-720).
680
Find the common denominator of 86/(-80)*(-12 - -14) and -49/620.
620
Let t(r) = r**2 + 2*r - 1. Let w be t(-3). Let u be 8/w*-22 - 0. Calculate the common denominator of ((-7)/(-3))/(u/12) and 1/20.
220
Let y = -1728 - -6957/4. Let t = 68357507357 + -7733284807625507/113130. Let p = -2/11313 - t. What is the common denominator of y and p?
20
Let x = -18 - -16. Let p = -1 + x. Let b(y) = -2*y - 5. What is the smallest common multiple of b(p) and 3?
3
Let d = -1 + 6. Let k = d + -7. What is the common denominator of (-3 - (-30)/44) + k and -13/22?
22
Suppose -199 = -6*b - 31. What is the lowest common multiple of b and 77?
308
Let a = -5/21 - 1019/42. What is the common denominator of a and 69/22?
22
Suppose a - 5 = 6. Let l = a + -25. What is the common denominator of -83/6 and 36/(-15)*15/l?
42
Let v = 302 + -315. Find the common denominator of v and -53/164.
164
Suppose -5*d - 490 = 4*c + 499, -c = -4*d + 242. What is the common denominator of 14/21*c/8 and 30/11?
22
Let p = 843 - -1729. Let i = p - 23201/9. What is the common denominator of 68/3 and i?
9
Suppose -2*k + 0*k = -5*v - 21, -5*k + 105 = 5*v. Let a = -55 - -80. Let n = a + -15. Calculate the least common multiple of n and k.
90
Calculate the common denominator of (-1739)/1316*4/5 and 43/130.
910
Suppose -4*g - 12 = -8, -w + g = -217. What is the smallest common multiple of 198 and w?
2376
Calculate the lowest common multiple of 50 and ((-8)/(-10))/((-18)/135*-1).
150
Suppose 78 = 2*a - 2. Let k be (12*1)/((-25)/a). Let h = 1046/55 + k. Find the common denominator of h and 49/5.
55
Find the common denominator of (5/45*-3)/((-1)/(-7)) and -29/26.
78
Suppose -5*v = 2419 + 8531. Let k = 10906/5 + v. Calculate the common denominator of k and -61/28.
140
Let v = -3562 + 14329/4. Calculate the common denominator of 2/(-3) - (-122)/(-24) and v.
4
Calculate the common denominator of 21/22 and (-3540)/(-2592) - (3 - (-14)/(-6)).
2376
Let h(i) = -2*i**2 - 40*i - 22. Calculate the lowest common multiple of 6 and h(-17).
240
Let f = -52 - -46. Find the common denominator of (27/f - 2) + -4 and 2/(-4) + (-70)/3.
6
Suppose -40*r = -50*r + 240. What is the smallest common multiple of r and 24?
24
Let i(p) = 2*p**3 - 20*p**2 - 25*p + 1. What is the lowest common multiple of 10 and i(13)?
690
Suppose -562*c + 85 = -561*c. What is the smallest common multiple of c and 25?
425
Let u be (238/35 + -8)/(4/30). Calculate the smallest common multiple of 6 and 1*u/(-2)*16/24.
6
What is the common denominator of 65/12 and -8 - (-1)/2*(-7252)/(-560)?
120
What is the common denominator of 19/15 and 1/(-6)*-2*(-53)/(-5)?
15
Let q be 0 - 7/(28/(-8)). Suppose 3*j - 5*j = -r + 18, q*r + 4*j + 4 = 0. What is the common denominator of (-234)/5*r/(-32) and -50/7?
70
Suppose -y - 2 = -5. Find the common denominator of (y/3)/(3/(-19)) and ((-14)/35)/((-12)/(-455)).
6
Let f(c) = c**3 - 4*c**2 - 7*c + 4. Let u be f(5). Let b(d) = d**3 + 5*d**2 - 9*d - 