-3*m + 2*p, -65 = -4*m - 3*p. What is the lowest common multiple of m and 12?
84
Suppose 5*h - 11 - 9 = 0. Let s(u) = -u**2 - 12*u + 1. What is the lowest common multiple of s(-11) and h?
12
Let g = 5 - -22. Suppose 0 = -0*m + 3*m - g. Let s(p) = -p**3 - 5*p**2 - 2*p - 5. What is the smallest common multiple of m and s(-5)?
45
Let u = -5964 - -71695/12. Find the common denominator of u and 18/30 - (-649)/60.
12
Let m = 41 - 17. What is the common denominator of 7/12 and (-170)/m - (-6 - -7)?
12
Let g = 14 - 5. Let m = -1096/105 - -58/15. Calculate the common denominator of m and g/(-6)*10/12.
28
What is the lowest common multiple of 4 and 9/36 + 103/4?
52
Suppose -o - 51 = -4*o. Let d = -11 + o. What is the lowest common multiple of 22 and d?
66
Find the common denominator of 89/10 and (5/((-75)/(-18)))/(11/20).
110
Let c = -172 + 1216/7. Let r be (-1)/((-28)/(-223)) + 1. Let z = c + r. What is the common denominator of z and -56/5?
20
Let i = 33563/5048 - 15/631. What is the common denominator of 29/2 and i?
8
Let b be (86/(-10))/(24/4150). Let a = -2987/2 - b. Calculate the common denominator of (-15)/(-80)*(-1)/((-15)/412) and a.
60
Suppose r - 2 = 2*a - r, -4*a - 6 = -5*r. What is the least common multiple of 4/8*-1*-2 and a?
1
Let d(t) = 2*t + 18. What is the lowest common multiple of 10 and d(-7)?
20
Let v = -5533/656 - -2958317/173840. Let j = v - 68/53. Find the common denominator of -48/5 and j.
10
Suppose 5*g - k - k = 129, -4*g + 3*k + 106 = 0. Calculate the smallest common multiple of g and 6.
150
Suppose 15 = 3*t - 171. Suppose 2*c = 48 + t. Let g = c + -39. What is the smallest common multiple of 20 and g?
80
Let i(u) = -u + 13. Suppose 2*w = -2*t + 5*w + 3, -t - w = -14. Calculate the lowest common multiple of 6 and i(t).
12
Find the common denominator of (-5)/(-550) - (-9)/(-15) and ((-1)/5)/(132/(-3270)).
22
Let g = 9 + -8. Let v = g + 4. Calculate the lowest common multiple of 8 and v.
40
Let c be ((-1)/2)/(1/104). Suppose -3*f + 4 = 3*j - 26, -j - 4*f = -19. Calculate the lowest common multiple of 4/(-10) - c/5 and j.
70
Let f = 25/37 - 1262/1813. Let y = -3873/98 - f. Find the common denominator of 7/6 and y.
6
Let k(z) be the second derivative of 8*z**3/3 + z. Let m(x) = -88*x. Let b(f) = 28*k(f) + 5*m(f). Calculate the smallest common multiple of b(2) and 22.
176
Suppose -3*w - 3962 = -w - 2*t, 3*w - 2*t + 5941 = 0. Let q be (207/105 + -2)*w. Let s = q + -302/5. Calculate the common denominator of 2/5 and s.
35
Let f = -3 - -2. Let y = f + 3. Find the common denominator of -5/2 and (1 - y)*93/48.
16
Let n(d) = d + 10. Let r(m) = 16*m**3 - m**2 + m. What is the smallest common multiple of n(8) and r(1)?
144
Let m(f) = f**3 + 8*f**2 - 2*f + 8. Calculate the least common multiple of m(-8) and 9.
72
Calculate the common denominator of 5*(-2)/(-70) + (-2524)/(-168) and 2/3 + 287/(-30).
30
Suppose -q = -2*q + 1. Let p be 5 - (q + 2 - 1). Suppose 5*c - 38 = 7*v - p*v, 0 = 4*v + 8. What is the smallest common multiple of 11 and c?
66
Suppose 2*m - 32 = -2*p, 3*m + 5*p - 59 = -3. Calculate the least common multiple of m and 2.
12
Let v = 1059 - 6430. Let f = 96727/18 + v. Find the common denominator of f and 81/10.
90
Let w(j) = 2 - j**3 + 2*j**3 - 2*j**2 - 3*j**2. Calculate the least common multiple of w(5) and 8.
8
Let g(d) = 10*d. Let t be g(-1). Let l = 2/1093 - 22963/5465. Calculate the common denominator of l and 27/t + (-16)/(-32).
5
Let x be 9084/(-312)*1/(-2). Let a = x + 48/13. What is the common denominator of a and -45/7?
28
Let a = -91/2 - -43. What is the common denominator of 101/4 and a?
4
Let f(w) = -w**3 + 2*w**2 + w. What is the least common multiple of 4 and f(2)?
4
Let t = 10 + -7. Suppose 0 = 3*x + t*n, -2*x - 2*x - 2*n = -6. Suppose x*s - f - 8 = 0, 4*s + f - 6 = -0*f. What is the lowest common multiple of s and 16?
16
Let z be -4 + (0 - -3) + -1. Let n = 43711/10 - 4361. Calculate the common denominator of z/(-8)*(-410)/25 and n.
10
Let q = 13 + -11. What is the smallest common multiple of q and 6?
6
Let s = -98213/38004 + 3/3167. Find the common denominator of s and 75/4.
12
Suppose 2 = -p - 7. Let t(g) = -g - 6. Let c be t(p). Suppose -2*v + 28 = c*w, 4*w + v - 10 = 3*w. Calculate the smallest common multiple of w and 3.
24
Let x be (-11666)/(-16) - (-6)/(-8). Let u = x - 727. Find the common denominator of 52/7 and u.
56
Let m(b) = b + 7. Let n be m(-6). Calculate the smallest common multiple of 8 and 9 - (1 + -1 + n).
8
Let l = 144 + -140. Let r be -1 + (-1 + 2)/1. Suppose r*i - 5*i = -5. What is the least common multiple of i and l?
4
Let g = 9 - 2. Calculate the least common multiple of g and 13.
91
Suppose 6 = -c - 0*c - 3*m, -c - 2*m - 9 = 0. Let f be (10/c)/(1/(-751)). Let i = f + -14951/30. Find the common denominator of 49/2 and i.
10
Let m be (-1 - -2)*1 - -5. Let r = m + 21. Calculate the common denominator of (-223)/(-18) + (-6)/r and -48/11.
66
Let z be 6/27 - 5858/36. Let t = 155 + z. What is the common denominator of -17/22 and t?
22
Let y = -12 + 22. Suppose 3*l - 4*w + 5 + 16 = 0, -w - 3 = 0. Let r = -5 - l. Calculate the smallest common multiple of y and r.
30
Suppose 5*z - 10 = 2*z - 4*b, 5*b = -3*z + 14. Let d = 596/189 - 8/27. What is the common denominator of (-1017)/(-54) - 4/z and d?
42
Suppose 3 = 3*l + 60. Let m = l + 21. Let p = 2 + -1. What is the lowest common multiple of p and m?
2
Let y = 2/2549 - 84157/50980. Find the common denominator of -169/150 and y.
300
Suppose 4*o + 2*g - 30 = 0, -2*g - 23 = -4*o - 5. Calculate the least common multiple of 8 and o.
24
Let y(q) = -q**3 + q**2 + 6*q + 4. What is the smallest common multiple of y(3) and 15?
60
Suppose -74 = 2*l + 3*s + 85, -5*s = -l - 60. Calculate the common denominator of 67*(l/24 - -3) and -31/10.
40
Let l(f) = -f**2 + 3*f. Let r be l(5). Let t be 3/15 - 78/r. What is the smallest common multiple of (t/(-3))/(-2)*9 and 12?
12
Suppose -v - k = 12, 3*v = 4*k + 13 - 49. Let g = v + 18. Suppose 0*m + g = m. What is the least common multiple of 4 and m?
12
Suppose -16 = -4*k - 3*p - 6, -p = 2*k - 4. Let h(i) = -i - 24. Let m be h(0). What is the common denominator of 2*33/m*k and -39/8?
8
Find the common denominator of 113/(-10) + 1 + 4 and 1/(-2) + (-130)/(-36).
90
Let d = -40 - -182. What is the smallest common multiple of d and 22?
1562
Let w(u) = u**3 - u**2 + 2*u. Let n be w(2). Calculate the lowest common multiple of 8 and 3/((-12)/n)*-2.
8
Calculate the lowest common multiple of 5 and 2*(-6 - -3)/(-6).
5
Suppose 9*p = -q + 4*p + 74, p = 5*q - 448. Suppose 4*h = -1 + q. Calculate the least common multiple of 22 and h.
22
Suppose 0 = 4*n + 3*h + 3, 0 = -4*n - 2*h + h - 9. Find the common denominator of 7/(-5)*n/3 and 39/5.
5
Let h be (-23)/(-3) + 1/3. Calculate the common denominator of -29/22 and (-22)/h*(1 - -1).
22
Suppose 8 = 4*t - 4*j, 12*t - 15*t = -5*j + 2. Let i(h) = 2*h - 2 - 2 - 6*h. Calculate the lowest common multiple of i(-3) and t.
24
Calculate the common denominator of (3/(-4))/((-6)/(-134)) and -5 + 2 - 10/(-28).
28
Let w be (-3 - -4)*(-8)/2. Let r = w - 0. What is the least common multiple of 30/4*r/(-3) and 2?
10
Let t(h) = 10*h**2 - 5*h. Let c be t(5). Suppose -5*u = 5*x + c, -3*u + 6*u = x - 151. Let p = 71 + u. What is the lowest common multiple of p and 20?
220
Let d(s) = s + 4*s - 3*s - 8. What is the least common multiple of 1 and d(6)?
4
Let m be ((-6)/(-9))/(4/6). Calculate the common denominator of 2/m + 34/(-7) and ((-2)/(-6))/(-1*4/(-192)).
7
Let k = -54/199 - -11195/2388. Calculate the common denominator of k and 6/5.
60
Let j(z) = z**3 + 7*z**2 - 3*z - 17. Let t be j(-7). Calculate the smallest common multiple of 2 and (t/(-8))/((-1)/12).
6
Let p = -21 - 15. Calculate the common denominator of ((-3)/(-20))/(p/(-1485)) and 3/14.
112
Suppose -2*a + 57 = 5*t, 0*a = a + 2*t - 26. Let l(u) = 6*u + 1 - 5*u**2 - u**3 - u + 5. Calculate the lowest common multiple of l(-6) and a.
48
Let m(k) = -k**2 + k + 12. Find the common denominator of 3 and m(7).
1
Let m be (1 - 3)*(-1)/1. Let o = 3 - m. Suppose -26 = -f + 3*q, -2*q + 6*q + 20 = 0. What is the least common multiple of f and o?
11
Let y = -25737/10 - -2577. Calculate the common denominator of 13/14 and y.
70
Let w be (1/2011)/((-8)/(-78