Calculate the lowest common multiple of x - (-35 - -5)/6 and 11.
55
Let y = 65 + -65. Suppose -4*n + 16 = 0, 3*w + y*n - 2*n = 19. Calculate the lowest common multiple of 12 and w.
36
Let g(m) be the third derivative of m**4/24 - 8*m**3/3 + 10*m**2. What is the smallest common multiple of 18 and g(21)?
90
Let y be 27/6 + -5*21/70. Suppose -120 = -4*l + 2*t, 0*l - t - 88 = -y*l. Calculate the least common multiple of l and 91.
364
Let x = 83 + 34. Suppose 62*i - 776 = -179*i + 670. Calculate the lowest common multiple of i and x.
234
Let x(y) = y**3 + 6*y**2 + 7*y + 3. Let m be x(-5). Let c(j) = j**2 + 23*j + 150. What is the lowest common multiple of c(m) and 114?
114
Suppose 0*n = 7*n + 84. Let v be (n - -11) + -3 + 0. Let b(x) = -x + 1. Calculate the smallest common multiple of b(v) and 11.
55
Suppose -2*o + 4*y + 46 = 0, -o + 86 = 3*o - 2*y. What is the smallest common multiple of ((-4994)/759 - 20/230)/(5/(-18)) and o?
168
Suppose -5*j = -0*r - 2*r - 5, -j - 2*r - 11 = 0. Let q = 27 + -42. Find the common denominator of (50/q)/(j + -17) and 95/18.
54
Let f = -429394 + 182921945/426. Find the common denominator of 39/1136 and f.
3408
Let w = 8299 + -3662. Let u = -2852 + w. Let h = u + -19650/11. Find the common denominator of h and -31/11.
11
Let h be 4/(32/(-210))*(-45657)/(-475). Let m = 2519 + h. Find the common denominator of 53/82 and m.
820
Suppose 56*v = 87*v - 496. What is the lowest common multiple of v and 164?
656
Let p = 48157 + -1926167/40. Calculate the common denominator of 25/112 and p.
560
Let q = 105 + -107. Let v be 2/((q/(-12))/(34/(-3))). Calculate the common denominator of -45 and (v/(-20))/(610/25).
61
What is the least common multiple of 5/(-10) - (-180)/8 and (4 - (-3 + 14))*780/(-21)?
2860
Let h(j) = 3*j**2 + 2*j + 6. Let m be 4/(-14) - 8/(-28). Calculate the lowest common multiple of 426 and h(m).
426
Let r be (0 + (-20)/3)/(45/(-1215)). Suppose -182*q = -r*q - 4. Let h = 50 - 12. What is the smallest common multiple of h and q?
38
What is the least common multiple of (164/(-820))/((-2)/(-15)) - 5289/(-2) and 12?
10572
Suppose 7*z + 4*z - 704 = 0. Suppose 5*v - 4*y = 584, -2*y - 232 = 219*v - 221*v. Calculate the lowest common multiple of v and z.
960
Suppose 3*l - 47612 = -l. Let z = 19390 - l. Let a = z - 209681/28. What is the common denominator of a and 1/22?
308
Suppose 0 = 5*q - 3*n + 58, 0*n - 54 = 5*q + n. Let t = 13 + q. What is the smallest common multiple of 16 and (t*-2)/((-4)/104)?
208
Suppose -4*o - o = -3*o. Suppose o*b + 15*b + 74505 = 0. Let c = -89275/18 - b. What is the common denominator of c and 4/3?
18
Suppose 25 + 270 = 55*t - 1685. What is the least common multiple of t and 1592?
14328
Let l = -9/76 - 1645/3116. Calculate the common denominator of 125/6 and l.
246
Suppose 0 = m + 241 - 136. Calculate the common denominator of 79/176 and (-1*26/120)/(36/m).
1584
Suppose -3*y + p - 1 = -4, 15 = 5*p. Suppose -2*g + g + 4*j = -13, y*j + 17 = -3*g. Find the common denominator of 37/6 and 43/g*((-4)/(-28))/(-1).
42
Let o = 9 + -8. Let y be o*3/(-6)*2. Let c(d) = -12*d + 1. Calculate the least common multiple of c(y) and 6.
78
Let b be 1 + (-5 - -5) - 114/2. Calculate the common denominator of (-1980)/(-875) + 8/b and 52/5.
25
Suppose -16*l - l + 119 = 0. Let b(s) = -s**2 + 8*s + 13. Calculate the least common multiple of 74 and b(l).
740
Suppose 0 = 5*p + 5 - 1155. Let i = p - 89. Calculate the smallest common multiple of i and 9.
423
Let r = -18605/5544 - -136/99. Let i = 9/7 - 123/112. Find the common denominator of r and i.
112
Let v = 377 - 389. Find the common denominator of 1*(8/v + 687/18) and 71/8.
8
Let u = -57 + 87. Suppose 54 = 31*g - u*g. What is the common denominator of (-2616)/(-32)*((-8)/g)/(-2) and -29/68?
612
Let u(k) = 2*k - 2667. Let r be u(0). What is the common denominator of r/1122 + 2/(-11) and 11/16?
272
Calculate the common denominator of (-924)/(-40)*(-300)/540 and -107/230.
690
Suppose 31203 + 4089 = 23*m - 6*m. What is the least common multiple of 28 and m?
14532
Let i be (-2)/(-3)*3168/(-6). Let u = i + 3881/11. What is the common denominator of u and (((-32)/(-3))/8)/((-11)/(-10))?
33
Let j(l) = -2*l**3 - 7*l**2 + 13*l + 32. Let r be j(-6). Calculate the least common multiple of r/11 - (-28)/(-154) and 12/5*(5 - 0).
12
Let m(x) = 886*x**2 + 9*x - 28. Let i be m(4). Suppose 7*l = -l - i. Let n = l + 7173/4. Calculate the common denominator of 27/44 and n.
44
Suppose -2*j + 25 = 31. Suppose 3*u = 2*b + 2*u - 19, b + 2*u - 2 = 0. What is the smallest common multiple of (26/8 + j)*(-60)/(-3) and b?
40
Let w = -133 - -350. Suppose 10*t - 83 - w = 0. Calculate the smallest common multiple of t and 3.
30
Let f(w) = -w**2 + 22*w + 5868. Calculate the smallest common multiple of f(-66) and 1 - (-2)/(2/3).
60
Suppose -4*g = 4*t - 28 + 4, 4*t - 42 = 2*g. Find the common denominator of (-54003)/(-10152) - (-2)/t and (22/(-114) - -1)/(-1).
456
Calculate the least common multiple of -33*((-2)/1 - (-12)/(-12)) and 57.
1881
Let m = -55 + 16. Let i = m - -66. What is the least common multiple of 33 and i?
297
Let p be (-22394)/8*196/(-70). Let y = 7830 - p. Let q = -393/20 + 12/5. What is the common denominator of q and y?
20
Let o be (-11 + 1)*(-30)/75. Suppose -2*z - 6*a + 2*a = -30, 3*a = o*z - 60. What is the smallest common multiple of 5 and z?
15
Let f be 11/(-22) - (-14)/4. Suppose -f*u + 3 = -9. Suppose -p - 228 = -5*i, -u*i + 234 = i + 2*p. What is the smallest common multiple of 6 and i?
138
Let f be (0 - -12) + -2 + 0 + -2. Let l be 7/(308/f) + (-7467)/110. Let h = l - -286/5. Find the common denominator of h and 19/10.
10
Calculate the common denominator of ((-1)/(-8))/(616/(-5392)) - 5/(-20) and -47/2728.
19096
Let n be (-418)/(-33) - ((-22)/(-6) + -3). Suppose -1 = n*d - 13. Calculate the smallest common multiple of 6 and d.
6
Let k(z) = -2*z**2 - 8*z - 21. Let f be k(-4). Calculate the common denominator of f/(-168) + (-1)/176*-74 and 47/55.
55
Let y be 3 + 1 - (-1414)/(-54). Let z = -17/54 + y. Find the common denominator of z and 1623/(-315) - (-4)/14.
30
Let d = -312267163/644 + 484887. Calculate the common denominator of d and 61/84.
1932
Suppose -o + 5*h = 36, 25*o - h - 50 = 27*o. Let n = 14 - -44. Let s = n + o. Calculate the lowest common multiple of 28 and s.
224
Calculate the smallest common multiple of 28*(-14)/(-98) + (-26)/(-4)*532 and 2.
3462
What is the common denominator of -161/330 and ((-798)/(-3870))/(32 - 30)?
14190
Let u(o) = o**2 - 3*o - 2. Let y be u(3). Find the common denominator of 1/y + (-63)/12 and (-1112)/128 + 1 + -2 + 4.
16
Find the common denominator of -8 + -7 + (-885)/(-50) and 13/1888.
9440
Suppose -17174*s = -17157*s - 374. Let i(p) = p**2 + 4*p - 10. What is the least common multiple of s and i(-8)?
22
Find the common denominator of -53/18 and 0 - 1690/(-294) - (-215 + 221).
882
Let m = 315/58 - 51693/9454. Let s = 3713/978 - m. What is the common denominator of s and 101/60?
60
Calculate the common denominator of 88/320*3*144/12 and -1*2/(20/(-98)).
10
Let f = 43 - 40. Let r(n) be the first derivative of -n**3/3 + 7*n**2/2 + n - 10. What is the lowest common multiple of f and r(6)?
21
Let z(x) = -x**3 + 5*x**2 - 4*x + 30. Let n be z(5). What is the common denominator of 63/8 and n/(-59 - -9) - (-287)/(-40)?
8
Suppose -p + 3 = 0, -12*l + 7*l = -2*p - 14134. What is the smallest common multiple of 707 and l?
2828
Let v(a) be the third derivative of 97*a**4/24 - a**3/6 - 14*a**2. Let l be v(-3). Find the common denominator of -35/22 and (l/24 + 1)/(-1).
66
Find the common denominator of 4/(-32)*278*(-8)/(-168) and 103/102.
1428
Let w = -683417 - -751758629/1100. Find the common denominator of w and 91/16.
4400
Let f(a) = a**3 - 12*a**2 - 11*a - 5. Let b be f(13). Suppose 0 = 7*v + b - 112. Let i = -1 + v. Calculate the lowest common multiple of 21 and i.
84
Find the common denominator of -53/2520 and (15/4050)/((-5)/(-1635)).
2520
Calculate the smallest common multiple of -7 - 6*(-45)/(-54) - -58 and 892.
20516
Let a = -242 + 812. Let i = -109445436/191521 - 10/17411. Let z = i + a. Calculate the common denominator of 97/4 and z.
44
What is the common denominator of 28/7083 and 7 + (-435)/(-45) - 0*(0 + 1)?
7083
Let f(l) = -l**