Let v = p + 9. Suppose -v*u = -n - 7 + 1, -5*n + 14 = u. What is the least common multiple of 1 and u?
4
Let r = 265805/129822 - -1/6182. What is the common denominator of -38/21 and r?
21
Calculate the lowest common multiple of 45 and 20/7*(-378)/(-12).
90
Let r = -144 + 164. What is the lowest common multiple of r and 6?
60
Let w(u) = u**2 - u - 3. Suppose 1 = k + 2*j, 7*k + j = 6*k + 1. What is the smallest common multiple of k and w(3)?
3
What is the common denominator of 4 + ((-3)/3)/(8/158) and 17/4?
4
Suppose 5*u + 20 = 70. Let s be (4/2)/(8/12). Let a(h) = -h**3 + 3*h**2 + h. Calculate the lowest common multiple of u and a(s).
30
Suppose -176 = -5*h + h. What is the smallest common multiple of 112 and 35/(-10)*h/(-7)?
1232
Let r = -2733/1060 + 51/20. What is the common denominator of r and 23/7?
742
Let a = 2 + 10. Suppose 192 = 4*u - a*u. Calculate the common denominator of u and 91/10.
10
Let p be 101165/(-4)*(-8)/(-100). Let s = p - -2026. Find the common denominator of 52/(-10)*(-90)/(-108) and s.
30
Let b = -487 + 529. Calculate the smallest common multiple of b and 6.
42
Suppose -3*p - 2*g = -16 - 0, -2*g = 4*p - 24. Calculate the smallest common multiple of p and 94.
376
What is the common denominator of 33/8 and 0*5/(-25) - (-118)/400?
200
Let o(g) = 2*g**2 - g + 1. Let q be o(1). Calculate the lowest common multiple of 75/5 - (-1 + (-12 - -16)) and 1*q*50/5.
60
Let l(h) be the second derivative of -h**5/20 + 2*h**4/3 - h**3 - 2*h**2 + 15*h. What is the lowest common multiple of 52 and l(7)?
156
Suppose 4*c + 0*c + 4 = 0. Let x = 4 - c. Let b = 146 - 141. What is the smallest common multiple of b and x?
5
Suppose -86 = -2*g - 38. Suppose 6*s - 12 = g. What is the least common multiple of 16 and s?
48
Suppose -2*k + 5 = -7. Let x be (-810)/(-25) - (-4)/(-10). Let a = x - 21. Calculate the least common multiple of k and a.
66
Let n = 32317/10035 + 2/1115. What is the common denominator of ((-2)/(-16))/(((-3485)/2652)/41) and n?
90
Let z be ((-783)/(-72))/(0 + (-18)/27069). Let b = 16360 + z. Calculate the common denominator of b and 103/52.
208
Let f = 21764 - 1218723/56. What is the common denominator of f and 97/16?
112
Let h = 4497/5 + -893. Calculate the common denominator of 48*18/189 - 3 and h.
35
Let x(a) = a**2 + 11*a + 2. Suppose -2*k = j + k + 2, -2*k - 8 = -j. Let z be (-1)/j + (-47)/4. Calculate the lowest common multiple of x(z) and 18.
126
Let i(r) = 85*r**2 + 419*r - 10. Calculate the least common multiple of 150 and i(-5).
300
Suppose 0*l - l = 0. Let i be 3/1 - (l - 1). Suppose 6 = i*c - 2. What is the least common multiple of c and 10?
10
Let m be (-31)/8 - (60/(-32))/(-15). Calculate the common denominator of 137/6 and (m + 34/9)/(4/(-399)).
6
Let p = 3377/860 - 39/172. Calculate the common denominator of (66/28 + -2)/(70/245) and p.
20
Let l be 0 + -3 + 18 + 0. Suppose 0 = 3*s + l, 4*b - 369 = -s - 2*s. Suppose 6*v = -0*v + b. Calculate the lowest common multiple of v and 88.
176
Let f be (-3)/(-4) - 84/(-16). Suppose -f*h + 2*h + 2*j = 0, -j = 0. What is the common denominator of -13/2 and (-51)/36 + (h - 1)?
12
Suppose -9*l = -3166 + 2050. What is the least common multiple of 10 and l?
620
Suppose 0 = -5*p - 604 + 139. Find the common denominator of p/((-45)/5 + 1) and 49/11.
88
Suppose 4*n - 161 = u, -6*u + 2*u = -12. Let m = 63 - n. Calculate the lowest common multiple of 34 and m.
374
Let o = -837434/191917 - 2/17447. Calculate the common denominator of -2 + -4*15/(-66) and o.
11
Let f(x) = x**2. Let t be f(-3). Let n(l) = -l**3 + 6*l**2 + 10*l + 11. Let m be n(t). Calculate the common denominator of 69/10 and m/7*6/24.
70
Let s = -9 - 23. Find the common denominator of ((-408)/s)/(0 + (-18)/(-16)) and -53/18.
18
Find the common denominator of -75/14 and 29/(-14) - (-3)/(4 + -7).
14
Find the common denominator of -97/198 and ((-9)/432*34)/(5/(-4)).
990
Suppose 2*h + 857 = f, -f - 4*h + 602 = -285. Let a = f - 9522/11. Find the common denominator of a and 95/6.
66
Suppose -19*g + 83 = -107. What is the lowest common multiple of 169 and g?
1690
Let d(l) = l - 13. Let k be d(17). Let u(s) = 8*s - 12. Let f(p) = 3*p - 4. Let q(o) = k*u(o) - 11*f(o). Calculate the lowest common multiple of 14 and q(-10).
42
Suppose 2*n - 2*o + 51 - 149 = 0, 3*n = -5*o + 139. What is the lowest common multiple of 2 and n?
48
Let n = -1917 - -7611/4. Let q be (-40)/3 + 4/(-6). Calculate the common denominator of 683/q - 2/(-7) and n.
4
Let a(u) = u**2 + 9*u + 5. Let v be a(-10). Suppose -9*x - v = -6*x. Find the common denominator of 61/2 and 84/x*33/(-176).
20
What is the lowest common multiple of 27 and (3 - 3) + -2 - -7?
135
Let s(w) = w**3 + 6*w**2 - 7*w - 16. Calculate the least common multiple of s(-3) and 2.
32
Suppose 0*x = 3*x - 72. Let s = -114 - -150. What is the lowest common multiple of s and x?
72
Find the common denominator of 708/168 - 18/(-12) and 15/16.
112
Suppose -3*f + 15 = -0*f. Let h = 3602 - 3595. What is the least common multiple of f and h?
35
Let a(b) = 2*b**2 + 2*b. Let r be a(-3). Suppose -378 = -r*y + 5*y. What is the lowest common multiple of 18 and y?
54
Let i(t) = 2814*t - 11. Let c be i(-12). Let m = 17324 + c. Let v = -362075/22 - m. Calculate the common denominator of v and -95/2.
22
Let w = -4721 + 403. Let i = -142445/33 - w. Calculate the common denominator of i and 47/39.
429
Suppose -2*p = p - 3*h + 3636, p + 5*h + 1230 = 0. Let x = p - -4769/4. Calculate the common denominator of x and (21/(-15))/(0 + -2).
20
Suppose 0 = -0*o - o - 5*w + 24, -w - 8 = -3*o. Let y = -64 - -105. What is the least common multiple of o and y?
164
Let y = 46273/345 - 667/5. Calculate the common denominator of y and 59/60.
1380
Let r be -5 + 1/1 + 26. Find the common denominator of 71/8 and (-5035)/770 + 4/r.
56
Suppose -6 = -10*q + 4*q. Let r = 8 - -6. Suppose -b = 3*a - 7*a - 7, -2*b = 4*a - r. What is the smallest common multiple of q and b?
7
Find the common denominator of 12/25 and (-1 - 1690/(-1287))*(-12)/(-10).
825
Let m = 17 - 6. Suppose -2*n = f + m + 17, f - 3*n + 28 = 0. Let s = f + 46. What is the least common multiple of 4 and s?
36
Suppose o = 5*d - 4, 56 = 3*o + o - 2*d. Suppose -5*p = -236 - 49. Let j = p + -53. Calculate the smallest common multiple of j and o.
16
Let t(i) = i**2 + 4*i + 4. Let f be t(-7). Suppose 0 = -3*h - w + f + 8, 5*w + 51 = 3*h. What is the lowest common multiple of 18 and h?
36
Let r be 1*139*1364/(-77). Let d = -2455 - r. What is the common denominator of (17 + 0)*(-6)/14 and d?
7
Suppose -6*q - 3072 = -10*q. Calculate the common denominator of -41/10 and 100/q - 1/4.
960
Calculate the lowest common multiple of (-5)/(20/(-32))*45/18 and 126.
1260
Let w = -7/820 + 30487/17220. Let o = 3022/5 + -594. Calculate the common denominator of w and o.
105
Let t = 8467/91 + -605/7. Let d = -5663969/572 - -109152/11. Let s = d - t. Calculate the common denominator of s and -99/2.
4
Let j be ((-1)/(-2))/((-13)/(-52)). Suppose j*g = -0 + 44. What is the lowest common multiple of g and 16?
176
Let v = 37 - 26. Suppose 100 = -3*b + 8*b + 4*d, 4*d = 2*b - 40. Let z = b - v. Calculate the lowest common multiple of z and 4.
36
Find the common denominator of (-33)/648*(-110)/20 and 13/8.
432
Let u = 2024 - 1613. Calculate the least common multiple of 27 and u.
3699
Let o be 1/(-448)*(-706190)/195. Let q = o - 1/2912. Calculate the common denominator of 79/8 and q.
24
Suppose 2*c = -2*c + 200. Let h be -2 + (20/(-30) - 8623/36). Let x = -2242/9 - h. What is the common denominator of c and x?
12
Let q(l) = -14*l - 1. Let k be q(-2). Calculate the lowest common multiple of (3/2)/(k/72) and 6.
12
Let h = 789 - 2291/3. What is the common denominator of h and 29/1137?
1137
Let t = -33411/9208 - -4/1151. What is the common denominator of t and -4/53?
424
Suppose 3*q + 3*q = 312. Calculate the least common multiple of 17 and -1 - -2 - q/(-13).
85
Let o(j) = j**2 - 7*j. Suppose 0 = -4*y - y + 5*c + 10, -5*y - 5*c - 20 = 0. Let t = 9 + y. Calculate the least common multiple of o(t) and 38.
152
Let y = 12 - 7. Let l = y + -1. What is the smallest common multiple of l and 1*3/(-3) + -7 + 32?
24
Let t(q) = 14*q**3 - 3*q**2 - 2*q. Let c be t(-1). What is the lowest common multiple of 8 and 6/(-15