*2 - 4*y + 4. Let w be f(-6). Let a = -2041/2 + 1068. What is the common denominator of 36/w*(-232)/(-6) and a?
4
Let q(s) = -s**3 - 9*s**2 + 12*s + 12. Let z be q(-10). Let y = -703 - -11277/16. Calculate the common denominator of y and (1/33)/(z/636).
176
Suppose -5*c - 3*t - 455 = -5*t, 0 = c - t + 94. Let m = -51 - c. Calculate the smallest common multiple of ((-4)/2)/(4/(-24)) and m.
228
Calculate the common denominator of ((-9167)/623)/((-6)/(-7)) - -1 and (-2)/(-6) + (-97)/48.
48
Suppose -20*r + 33*r = 910. What is the smallest common multiple of 77 and r?
770
Let x(o) = 969*o**2 - 5*o + 7. Let a be x(4). Let z = -371717/24 + a. Find the common denominator of 28/27 and z.
216
Let l(q) = q**3 - 4*q - 2. What is the least common multiple of 8 and l(6)?
760
Let n = 23375/90804 - 86/987. What is the common denominator of n and 85/24?
552
Let a be (-1715778)/(-120) - (1 + 2) - -2. Let n = a + -14294. Calculate the common denominator of n and 9/26.
260
Let j be (-101485)/(-20) + 1 - 3/12. Let k = j - 55864/11. Calculate the common denominator of 30/(-8)*2/(-5) and k.
22
Let n(r) = -r + 10. Let z(s) = s - 9. Let f(h) = 4*n(h) + 5*z(h). What is the least common multiple of 18 and f(7)?
18
Suppose -3*q + 670 - 664 = 0. Calculate the lowest common multiple of q and 22.
22
Suppose -5*m + 1028 - 833 = 0. What is the lowest common multiple of m and 51?
663
Let r(p) = p + 14. Let k be r(-10). Suppose 3*q + 113 = k*c, -2*q = -3*c - c + 110. What is the common denominator of (c/(-10))/(88/(-140)) and 5/6?
66
Let v = -1989 - -65645/33. Calculate the common denominator of -1*1 + 118/(-36) and v.
198
What is the common denominator of (-3 + (-95)/110)*-1 and 25/264?
264
Let t be ((-46)/(-4))/((-4)/8). Suppose -56*m - 44 = -52*m. Let n = m - t. What is the least common multiple of n and 4?
12
Calculate the common denominator of -23/12 and 24/6 + (-2555)/640 + 0.
384
Let p(h) = 165*h**2 - 41*h + 40. Calculate the lowest common multiple of 451 and p(1).
1804
Let j(l) = -l**3 + 8*l**2 - 10*l - 2. Let d be j(7). Let y = 27 + d. Find the common denominator of -53/9 and y - 3*(-363)/(-54).
18
Calculate the lowest common multiple of (-168)/(-20)*5/2 and (528/(-32) + 14)/((-2)/4).
105
Let i = -31343/4896 - -7/544. Let g = 1268/3 - 428. Find the common denominator of i and g.
18
Let s = -184 + 156. Suppose -5*p = 2*f - 95, p - 197 = -5*f + 2*p. Let j = s + f. Calculate the least common multiple of j and 16.
48
Suppose 327 - 183 = 6*n. What is the smallest common multiple of 1 and n?
24
Suppose 3*q - 20 - 18 = 2*a, -4*q = 4*a - 44. Suppose -592 = -3*x + 7*x - 4*u, 4*x - 2*u = -586. Let w = x + 157. What is the lowest common multiple of q and w?
12
Find the common denominator of 29/208 and (72/(-16))/(-4 + 16).
208
Suppose 1 + 2 = 4*m + t, -m + 2*t = 6. Suppose m*f = -f + 2. What is the smallest common multiple of 8 and f?
8
Suppose 1120 = 9*u + 715. What is the least common multiple of 108 and u?
540
Suppose 0 = -3*j + j + 114. Let z = 205 + -184. Calculate the smallest common multiple of z and j.
399
Let k(p) = 2*p**2 - 11*p - 6. Let h be k(4). Find the common denominator of -49/53 and (-3)/11*(-228)/h.
583
Let b be -462 - 0/(1 - -2). Let a = 132 + b. Find the common denominator of (-1953)/a - 4/(-22) and 2.
10
Let g = 5745/652 + -10/163. Find the common denominator of 4 - (-292)/(-12) - (3 + -5) and g.
12
Let d be ((-21888)/(-54))/(20/(-66)). Suppose f - z = z - 1339, 20 = 4*z. Let a = f - d. What is the common denominator of a and 77/10?
10
Let t(m) = -m**3 - 27*m**2 + 40*m - 16. What is the lowest common multiple of 12 and t(-29)?
3036
Let y = 2486/3 + -1623/2. Calculate the common denominator of 32/51 and y.
102
Let f = -1215/2 + 648. Let k = -1115 - -2155/2. Find the common denominator of f and k.
2
Calculate the common denominator of 25/168 and (9 - 3865/420)/(10/4).
840
What is the common denominator of -111/28 and (-2)/(-32)*(-59 - -4)?
112
Let y(l) = l + 27. Let o(j) = -2*j + 21. Let m be o(14). Let b(a) = -a - 40. Let d(c) = m*y(c) - 5*b(c). Calculate the smallest common multiple of d(0) and 11.
11
Suppose 5*d = 107*z - 105*z + 8, 5*z = -d + 34. Let o = 3 + 0. Calculate the smallest common multiple of o and z.
6
Let h = 2/2785 + -45121/5570. What is the common denominator of h and 69/86?
430
Let q = -38 - -56. Suppose -3*b + 0*b + q = 0. Calculate the smallest common multiple of b and 3.
6
Let o = -46 - -56. Let r(i) be the first derivative of 3*i**4/4 + 2*i**3/3 - i - 3. What is the lowest common multiple of r(1) and o?
20
Let l = -8 - -11. Let r(j) = 5 - 3 - 9*j**3 + j**2 - j**3 - l. Calculate the lowest common multiple of 4 and r(-1).
20
Let a(u) = -40*u**2 + u + 1. Let v be a(-1). Let z = -37 - v. Suppose 0 = -f - 1 + 7. Calculate the smallest common multiple of f and z.
6
Suppose 0 = 5*y - 9 - 36. Let k = 1 + y. Suppose -u + j = -25, 0 = -0*j - 2*j - k. What is the smallest common multiple of u and 10?
20
Let l be -1*2 - 884779355/23996350. Let r = l + -1/68561. Let v = 347/7 + r. Find the common denominator of v and -77/6.
30
Find the common denominator of (27/(-1152))/((-117)/(-3796)) and 119/96.
96
Let x = -26/211 + 12209/1477. Find the common denominator of 5/19 and x.
133
Let d = 22 + 9. Suppose 0 = 2*u - 4*c + 8, u - d = -4*c - 11. What is the lowest common multiple of 30 and u?
60
What is the common denominator of (-705)/36 - -10 - -2 and (-103)/(-30) + 2/(-4)?
60
Suppose 2*b - b - 171 = 5*w, w + 55 = -5*b. Let n be (-38)/14 - (-10)/w. Find the common denominator of 75/12 + 0 + n and 79/24.
24
Let r = -2/3229 - 22555/77496. Calculate the common denominator of 7/639 and r.
5112
Suppose -3*g + 18 = f, -13 = -2*g - f - 1. What is the least common multiple of g and 61*1/5 + (-7)/35?
12
Calculate the lowest common multiple of -5 + ((-1062)/(-54) - 4/6) and 56.
56
Find the common denominator of 17/69 and (-11211)/16160*(-4)/(-18).
5520
Let p(m) = -4*m + m - 9 + 4*m. Let x be p(9). Suppose -3 + x = -3*w. What is the least common multiple of w and 7?
7
Let x = -60 - -69. Suppose x*n - 13*n + 88 = 0. Calculate the lowest common multiple of n and 10.
110
Let h = -145 - -155. Suppose -31 = -4*y - t, 2*y + 4*t = -2 - 0. Calculate the smallest common multiple of y and h.
90
Find the common denominator of (2/18)/((-28)/1057) and 89/364.
3276
Let o(y) = -y**3 - 2*y**2 + 4*y - 7. Let l be o(-7). Calculate the least common multiple of (-2)/(-15) - (-6272)/l and 9.
90
Let l = -121 + 133. Calculate the least common multiple of 8 and l.
24
Let n = 21 + -13. Let w = 19 - 31. Calculate the least common multiple of n and 8/(-3)*90/w.
40
Let i(n) = 339*n - 5. Let x be i(-5). Calculate the smallest common multiple of 34 and x/(-119) + (-2)/7.
238
Let f = 11 - 1. Suppose 4*d = -s + 32, -2*s + 6*d = d + 1. Suppose 0 = -0*a - a - y + 12, 4*y + s = 2*a. What is the smallest common multiple of f and a?
10
Suppose 16*x + 588 = 20*x. Suppose -x = -17*a + 14*a. What is the smallest common multiple of 8 and a?
392
Calculate the lowest common multiple of 8 and (7 - 0)*((-20)/(-5))/2.
56
Let l = 12313403/170 - 72432. Find the common denominator of -22/153 and l.
1530
What is the common denominator of 3/(-1) + 12 + 1250/(-126) and -86/45?
315
Suppose 4*f - 12 = -4*c, 5*c - 5*f + 1 = 3*c. Suppose c*b + 48 = 6*b. Let a = b + -5. Calculate the least common multiple of a and 5.
35
Let u = -375308/63 + 5957. Find the common denominator of 49/90 and u.
630
Suppose -x - 11*x - 12 = 0. Let i(w) = -13*w - 2*w**3 + 13*w + w**2. Calculate the smallest common multiple of i(x) and 4.
12
Let x = 233/9 + -187/6. Let m = -65605/13 + 17705459/3510. Let w = m + -104/27. What is the common denominator of x and w?
90
Let h = 118 + -106. Calculate the common denominator of (-3)/(-2)*29/(-8) and -5 + 62/h + -5.
48
Let w = -85966 - -17794921/207. What is the common denominator of 25/23 and w?
207
Suppose -y - 3*l + 15 = 0, 0 = -5*y + 4*l - 3 + 2. Suppose -y*t - 4 = x, -t - 1 + 5 = -5*x. Calculate the common denominator of 85/8 and (-474)/24 + (-3)/t.
8
Let x(o) = -25*o + 102. What is the least common multiple of 5 and x(4)?
10
Let q = 2238 - 901. Let x = q - 2597/2. Let z = -12008 - -288341/24. Calculate the common denominator of x and z.
24
What is the common denominator of (-5 + 335/(-30))/13 and