b. Calculate the smallest common multiple of 9 and p.
63
What is the common denominator of 103/216 and ((-121)/44)/((-78)/27) + (-10 - -10)?
2808
Suppose d = 5*n - 15, 1 - 4 = 5*d - n. Suppose d = a - 5*i - 13, -a - 11 = 5*i - 2*i. Let t(p) = -7*p. What is the lowest common multiple of 10 and t(a)?
70
Let w(h) = h**2 - 30*h + 234. Let g be w(15). Calculate the lowest common multiple of -1 + g + 355/5 and 7.
553
Let d = -306 + 493. Let l = -97 + d. Suppose -3 = -b + 1. Calculate the lowest common multiple of b and l.
180
Let p = -6341414665/126 - -50327488. Let c = -1200 - p. Find the common denominator of c and -61/63.
126
Let n(c) = 4*c - 60. Let z be n(16). Suppose 16 = d + 2*j, -j + 3*j = -z*d + 34. Find the common denominator of 48/25 and (65/30)/(d/126).
50
Let c(u) = -5*u - 2*u**2 + 0*u**2 + 4*u - 17*u - 6. Let v be c(-9). Calculate the common denominator of 3/24*(-154)/v and -31/27.
216
Let n = -154 - -174. Suppose h - 2*d = n, -d - 76 = -2*h - 6*d. What is the lowest common multiple of 24 and h?
168
What is the common denominator of (12/(-1170))/(7 + (-57)/9) and 19/20?
260
Let p(w) = w**2 + 6*w + 4. Let v be p(-6). What is the common denominator of 1006/(-336) - v/(-14) and (187/(-30) - 22/(-55))/((-86)/43)?
24
Let w be 771/(-24) - -6 - 4/(-1). Let k = 431/16 + w. Calculate the common denominator of 130/36 + 1/(-4) and k.
144
Let c = -33/41 - -3886/4879. Let y = 7/16 + -17/16. What is the common denominator of y and c?
952
Calculate the common denominator of -85/4 and 46796/24*(-6)/(-5900) - 2.
5900
Calculate the least common multiple of 195 and 109 - (116/30 - 24/(-180)).
1365
Let c(n) = -191704*n**2 + 12*n + 3. Let v be c(10). Let j = v + 14377705121/750. Let t = j + 2/375. Find the common denominator of t and 83/16.
16
Let q = -225535 + 225537. Let z(c) = -c**3 + 4*c**2 + c + 5. Let i be z(4). Let m = i - -11. Calculate the smallest common multiple of m and q.
20
Calculate the common denominator of ((-4)/(-12))/(3/144) and (-13 - (-14 + 6))/((-7)/5).
7
Let z be 5*10*12/150. Suppose 0 = -5*w - 3*y + 27, -w + 2*y + z = 4*y. Calculate the least common multiple of 25 and w.
150
Let u be (-8)/2 + (-668)/41. Let m = u + 7/164. What is the common denominator of m and 51/2 + -5 + 1 + 2?
4
Suppose g = 3*s + 36, -74*s - 108 = -5*g - 71*s. What is the least common multiple of g and 90?
90
Suppose -5*h + 4*u + 30 = 0, -5*h - 2*u + 20 = -40. Let d = 64 - 59. What is the lowest common multiple of 78/(-130) + 123/d and h?
120
Let c = -547 + 766. Calculate the smallest common multiple of 219 and c.
219
Suppose 0 = -2*w - w - 2*r - 98, -5*w - 2*r = 158. What is the common denominator of ((-2)/w)/(3/(-12)) and -8/21?
105
Calculate the common denominator of 122/(-42) + ((-364)/(-39))/28 and 29/1349.
9443
Let z = -3/14014 - 203185/84084. Suppose 5*l - 2 + 17 = 0. Calculate the common denominator of (l/22)/((-2)/46) and z.
132
Suppose 0 = 205883*w - 205863*w - 5080. Calculate the least common multiple of w and 762.
762
Let k(z) be the first derivative of -z**4/4 + 2*z**3/3 - 17. Let y be k(0). Let d = y + 9. Calculate the lowest common multiple of 39 and d.
117
Suppose 108 = -t + 106. What is the lowest common multiple of 2 and (2/(4/t))/(3/(-48))?
16
Suppose 0 = -2*i + 2*u + 120, -5*u - 10 = 10. Suppose x - 3*s = 108, -5*s - i + 316 = 2*x. Calculate the smallest common multiple of 60 and x.
120
Let h = -1797 + 2369. What is the lowest common multiple of 143 and h?
572
Suppose -282*t = -275*t - 3430. What is the least common multiple of t and 490?
490
Let x be 10/(-30) + 92/6. Suppose 0 = x*j - 5*j - 1610. Suppose -160*a + j*a - 20 = 0. Calculate the least common multiple of a and 2.
20
Suppose 4*d + 6*t = -146 + 1286, -1444 = -5*d + 2*t. Calculate the smallest common multiple of d and 32.
288
Let l(m) = 217*m - 1614. Calculate the smallest common multiple of l(12) and 360.
3960
Let h = -2/624545 - 63078597/139898080. What is the common denominator of -157/588 and h?
4704
Let o = -2003 + 2009. What is the smallest common multiple of o and 894?
894
What is the smallest common multiple of 2772 and 4*9*11*(-4 + 6 + 5)?
2772
Let c = 4 - -5. Suppose 25*i - 264 - 136 = 0. Calculate the least common multiple of i and c.
144
What is the least common multiple of ((-770)/40)/11*(-326 - -6) and 14?
560
Let g = 149 - 402. Let v = g + 271. Calculate the smallest common multiple of 15 and v.
90
Suppose -15 + 42 = q. Let t(p) = 334*p - 1643. What is the smallest common multiple of t(5) and q?
27
Let p = 72/1633 - -253271/440910. Calculate the common denominator of -11/450 and p.
1350
Let f = 116 - 88. Suppose 83 - f = 5*x. What is the least common multiple of 8 and x?
88
Suppose 100 + 76 = 2*d. Suppose 35 = -87*w + d*w. What is the smallest common multiple of w and 25?
175
Let c = -195727/40 + 4892. Find the common denominator of -133/1164 and c.
11640
What is the common denominator of -19/2486 and 2821/248 + -11*1 - 381/88?
2486
Let b(k) = k**3 - 11*k**2 + 51*k - 465. Suppose 1 = 5*y - 14. Calculate the smallest common multiple of y and b(11).
96
Let x(c) = 8*c**2 + 16*c - 42. Let r be x(3). What is the common denominator of 13/(r/(-18)) - (-190)/72 and 55/21?
252
What is the smallest common multiple of 8820/(-360)*(-240)/28 and 560?
1680
Suppose 185 - 5 = -4*r. Let u = 46 + r. Calculate the lowest common multiple of 6 and ((-2)/(-6))/((-16)/(-12) - u).
6
Let j be ((-2)/(-6))/((-66)/(-9) + -7). Suppose -z - 4*k + j + 20 = 0, 3*z = 4*k + 63. What is the least common multiple of z and 21?
21
Let m = 4129 - 37123/9. Let j = -15297 - -367087/24. What is the common denominator of m and j?
72
Let y be -226*3*(-265)/(-10). Let h = -323281/18 - y. What is the common denominator of h and (-4 + 388/96)/((-20)/(-784))?
90
Let q be ((-23)/(-3))/((-2)/36). Let u = -133 - q. Suppose 0 = -2*f + u*f - 3. Calculate the least common multiple of 16 and f.
16
Suppose 2*z + 2434 = 4*g, -154*g + 152*g + 1211 = 5*z. What is the least common multiple of g and 176?
6688
Suppose 106*i = -113*i - 55*i + 860360. Calculate the lowest common multiple of 140 and i.
21980
Suppose -15 = -h - 3*j, -50 = -2*h + j - 2*j. Suppose -1576 = 7*x + 216. What is the lowest common multiple of h and (-18)/30 + x/(-10) + 2?
27
Let k = 49981/9 - 5548. Suppose -2*t - 2*w = -6*w + 224, 3*t + w + 336 = 0. Calculate the common denominator of k and 5 + (-165)/35 + (-1102)/t.
72
Suppose -x = 252 - 945. Suppose -3*w + x = -12*w. Calculate the least common multiple of ((-6)/(-7))/((-11)/w) and 12.
12
Let k = -52205339/5600 + 65256/7. Find the common denominator of k and -107/800.
800
Let f = -342703/28 - -12238. Let k = -228 + 90. Find the common denominator of f and 92/k*258/(-160).
280
Let t be (4/(-28))/((-8580)/1435 + 6). Let q = -10 + t. What is the common denominator of q and 89/4?
12
Let b be ((-3)/696)/(484000/499065 + -1). Let v = -15/3799 - b. Find the common denominator of v and -5/22.
2024
Suppose 7*s = -4*s + 187. Suppose 22*d = s*d + 240. Calculate the lowest common multiple of (-1)/(82/(-40) - -2) and d.
240
Suppose -33 = a - 3*h + 22, -4*a - 4*h - 268 = 0. Calculate the least common multiple of a/(-96)*(-18)/(-4)*15 and 72.
360
Let c = 13 + -13. Let b(p) = -238*p + 0 + 233*p - 36 + p**3. Calculate the common denominator of b(c) and -24/7.
7
Suppose -18*q - 3672 = -q. Find the common denominator of 91/15 and 3 + 66/q*-2.
90
Let i(f) = -4*f - 6. Let s be i(-7). Let t be ((-7)/((-112)/(-40)))/((-5)/8). Suppose -t - s = -o. Calculate the smallest common multiple of o and 18.
234
Let r = -791 - -479. Let g = 14 + -8. Calculate the least common multiple of 26/r + (-49)/(-12) and g.
12
Let q(p) = -3*p**2 + 10*p + 9. What is the least common multiple of 5286 and q(3)?
10572
Let r = -237/5098 - -180130241/56078. Let v = 3217 - r. Find the common denominator of v and 89/6.
66
Let q be 0 + 5/4 + (-54)/(-72). Calculate the common denominator of -74/9 and 6/q*1216/(-960).
45
Suppose -4*c + 1755 = 5*m, 4*m = -140*c + 137*c + 1404. Calculate the least common multiple of 429 and m.
3861
Let p be (-2)/9 + 215/135*-3. Find the common denominator of (1841/210 - 5)/(26/p) and -9/20.
780
Let m = 1830 + -1200. What is the common denominator of 387/(-4)*(-12)/m and 61/8?
280
Let x = -1667/7 - -3233/14. Let d = -101 - 29. 