0 = -3*s, s = 0. Let f(h) = -8*h + h**2 + 4 + 20*h - 3 - o. What is the lowest common multiple of 12 and f(-13)?
12
Suppose -2*g = -3 - 1. Let w be -1 + (2 - (g + 1)). What is the common denominator of -23/8 and w - -2 - 79/2?
8
Let m = 40817/552 - 1786/23. What is the common denominator of 113/96 and m?
96
Let u be -2 + 3*350/(-15). What is the lowest common multiple of ((-2)/(-6))/((-2)/u) and 45?
180
Suppose 2 = 3*s + 2*x + 134, 5*s + 4*x = -222. What is the smallest common multiple of (-190)/(-133)*s/(-2) and 6?
30
Let i = 96 - 96. Suppose i = -7*l - 0*l + 231. Calculate the lowest common multiple of 27 and l.
297
Let q(a) = a**3 + 16*a**2 - a - 123. What is the lowest common multiple of 2 and q(-14)?
566
Find the common denominator of 2219/5460 - 9/(-117) and 17/60.
60
Suppose -11 = -3*a + 2*i - 2, 2*a + 2*i = 16. Calculate the common denominator of (519/(-75) - -7)/(3/a) and 17/9.
45
Let l(j) = -33*j + 67*j - 9 - 36*j + 1. Let y be 3 + (-4)/(8/18). What is the smallest common multiple of 20 and l(y)?
20
Let n(f) = 77*f + 3. Let k be n(6). Let s = -193463/10900 + -3/2725. Find the common denominator of k/(-12)*4/(-10) and s.
4
Suppose -51*g + 45*g = -150. What is the smallest common multiple of 20 and g?
100
Suppose 4*r - 13*r + 576 = 0. What is the common denominator of 115/r*4/(-10) and 91/36?
288
Find the common denominator of 855/(-891) + (2/6 - 0) and 46/81.
891
Suppose 79*u + 236 = 5*b + 83*u, -b = -2*u - 50. What is the smallest common multiple of b and 8?
48
Let o = 11063/6 + -1849. Calculate the common denominator of o and (95/(-8))/((-198)/264).
6
Let f(z) = 1718*z - 10. Suppose 2*a = -3*a + 40. Let c be f(a). Let v = -164693/12 + c. Calculate the common denominator of -89/4 and v.
12
Let x be (-18702)/(-5958) - (0 - -3). Let n = 34589/5958 + x. Let r = 13/263 + 4185/5786. Calculate the common denominator of n and r.
198
Let w = 29 - 17. Let k = -84 - -88. Calculate the lowest common multiple of k and w.
12
Let w = -1221 - -8560/7. What is the common denominator of w and -14/15?
105
Calculate the least common multiple of -12*1/(-4) - (0 - 47) and 50.
50
Suppose 0 = -4*h + a + 312, -3*h - 9*a = -13*a - 234. Calculate the smallest common multiple of 117 and h.
234
Suppose 26*t = 31*t - 20. Suppose t*s - 78 = 10. What is the smallest common multiple of s and 22?
22
Let d(y) = -3*y + 66. Calculate the least common multiple of d(16) and 16.
144
Suppose -19*x + 278 + 2002 = 0. Calculate the smallest common multiple of 70 and x.
840
Let n be ((-14683)/3)/(8/6). Let g = n - -3696. Find the common denominator of g and 19/10.
20
Calculate the common denominator of 657/(-84)*10/(-15) and -23/164.
1148
Let w be (3990/(-84))/((-2)/(-10)). Suppose 3*g - 2*g + 258 = 0. Let a = w - g. Calculate the common denominator of a and -71/8.
8
Suppose -1241*j + 1239*j = -12. What is the lowest common multiple of 4 and j?
12
Suppose 7 = 5*m - 3. Suppose 8 + m = a. Calculate the lowest common multiple of 8 and a.
40
Let a be 6/72*(-340)/(-2). Let m = 185/18 - a. Let z = -351 - -1103/3. What is the common denominator of m and z?
9
Suppose 2*o + 17548 = 6*o. Let t = o + -35185/8. Let z = 4/9235 + -877413/203170. Find the common denominator of t and z.
88
Let r = -35905/12978 - 2/32445. Calculate the common denominator of r and 97/36.
180
Let d = -1037077/48 - -21604. What is the common denominator of 17/48 and d?
48
Suppose -2*n - 5*x = -22, 2*x - 7 - 21 = -4*n. Let j = 4 + -2. Suppose 2*i = -j*i + 16. Calculate the lowest common multiple of i and n.
12
Calculate the common denominator of 87/142 and (1500/2200)/(2/11).
284
Suppose 0*s - 60 = 4*s. Let p = 1 - s. Let i(v) = -v**2 - 28*v + 257. What is the smallest common multiple of p and i(-35)?
48
What is the common denominator of (-241)/(-30) + -4 + 0 and 56/45?
90
Let i(y) = 6*y**2 + 4*y - 2. Let d be i(8). Let t = -1271/3 + d. Find the common denominator of 30/11 and t.
33
Suppose 0 = 4*p - 8, 0 = -0*q + 5*q + 5*p - 35. Suppose -3*c + o - 6 = 0, o + q = 4*c + 13. Calculate the common denominator of c/3*63/(-4) and -97/2.
2
Let a = 761/10 + -369/5. Let y = 4904 - 107839/22. What is the common denominator of y and a?
110
Find the common denominator of 1779/270 + -1 + (-16)/72 and -109/50.
150
What is the common denominator of (-56)/(-196) - 669/14 and 37/52?
52
What is the common denominator of 95/16 and 190/(-840) + (-6)/9?
112
Suppose 0 - 2 = 2*m. Find the common denominator of 74/9 and 3/(-6) + m/((-16)/110).
72
Let a = -7 + 4. Find the common denominator of 97/8 and (3 + a + 1)*38/(-28).
56
Let c = 6431/3 + -2153. Calculate the common denominator of c and 28/313.
939
Calculate the common denominator of 28/17 and (156/(-16))/((-3 + 13)/5).
136
Suppose -5*s - 317 + 97 = -x, s + 476 = 2*x. What is the lowest common multiple of 264 and x?
2640
Let y(v) be the first derivative of -v - 7/2*v**2 - 1 - 1/3*v**3. What is the lowest common multiple of y(-6) and 4?
20
Let g(m) = m**3 - 11*m**2 + 2*m - 12. Let o be (-20)/(-90) + 2/(-9). Let j be -1 + o - (-72)/6. Calculate the smallest common multiple of 3 and g(j).
30
Calculate the common denominator of ((-12)/40)/((-18)/(-1310)) and -14/37.
222
Let n = -4030/3 + 40207/30. Let j be ((-1)/3)/((-1)/(-47)). Let s = j - -274/15. Find the common denominator of s and n.
10
Let r = 178868/21 - 8520. Find the common denominator of r and -51/35.
105
Let x = -78/341 + -26743/6820. Let v(d) = d**3 + 8*d**2 + d - 6. Let w be v(-10). What is the common denominator of x and 1 - 0 - 516/w?
180
Let c(i) = -7*i**3 + 7*i + 22. Let o be c(7). Let m = 11711/5 + o. Calculate the common denominator of 121/10 and m.
10
Find the common denominator of (-124)/(-280) + 27/7 + -4 and 107/994.
4970
Suppose 4*w - 14*z = -18*z + 888, -w + 216 = -5*z. Calculate the lowest common multiple of w and 136.
1768
Calculate the common denominator of (-222)/(-21)*(-14)/30 and -11/15.
15
Suppose -7*k - 32 = 3. Find the common denominator of -47/10 and (k/(-3) + 0)*(-8 + 4).
30
Let c be (-9)/18 + 163/314. Let m = -4858/471 - c. Let p = -330 + 931/3. Calculate the common denominator of m and p.
3
Let s be ((-911)/1 - -2) + 3. Let p = -3699/4 - s. Let m = 428/3 + -472/3. Find the common denominator of p and m.
12
Suppose -15*j + 107 = -28. Suppose 0 = 5*d - 114 + j. Calculate the least common multiple of d and 12.
84
Suppose 20 = -5*u, -4*w + u - 768 = 3*u. Calculate the common denominator of (-5 + 76/16)/((-2)/w) and 79/4.
4
Let x = 33/806 - -2022961/2418. Let u(v) = v**3 + 22*v**2 + 27*v + 17. Let i be u(-18). Let w = x - i. Find the common denominator of w and 39/8.
24
Let f be 24/132 + (-172)/(-22). What is the common denominator of -3 + 2 - 61/f and -1 - (1 - (-82)/(-18))?
72
Suppose 2*j = 3*f - 20, f + f = -5*j - 12. What is the lowest common multiple of f and (2 - 1) + -6 + (-6 - (-10 + -11))?
20
Let a be (8 + -2)*(-3)/(-9). Let r be (-32)/(-10) - a/10. Suppose -r*i + 3 - 19 = -j, -5*j - 4*i = -42. What is the smallest common multiple of j and 8?
40
Suppose -2*r + 3*o + 18 = 0, 3*r = -5*o - 13 + 2. Let h(f) = 2*f**2 - f - 6. Calculate the smallest common multiple of 9 and h(r).
9
Let z = 13784 + -26543. Let h = z + 255297/20. Let y = 1/1924 - -35585/17316. What is the common denominator of h and y?
180
Find the common denominator of (-10)/(-2) + 9144/(-2040) and 16/85.
85
Let b = -4457887095/963413 + -2/87583. Let z = -385 + -4239. Let v = b - z. What is the common denominator of v and -81/10?
110
Suppose -4*v = 5*y - 272, -7*v + 275 = 5*y - 2*v. Calculate the lowest common multiple of y and 6.
156
Let g(f) = -f**3 - f**2 - f - 2. Let j be g(-2). Suppose -j*m + 3*v = -0*v - 66, 0 = -m + 5*v + 8. Calculate the least common multiple of 10 and m.
90
Let p(k) = 33*k - 48. What is the least common multiple of p(2) and 2?
18
Let r = 36 - 26. Suppose 4*k - k - 8 = y, 5*k - r = 5*y. Calculate the lowest common multiple of 33 and k.
33
Suppose 0 = -18*i - 11 + 119. Suppose 32 = 4*g - 0*g. What is the lowest common multiple of i and g?
24
Let m = -3357 - 3668. Let t = -421537/60 - m. Find the common denominator of -49/20 and t.
60
Let c be (4/3)/((-2052)/8210). Let l = c + 2/1539. Let a = 3/1433 - -67318/15763. Calculate the common denominator of l and a.
33
Let v = -5 - -10. Let y be v - 1 - 8/2. Suppose