
Let i = -30 - -33. Suppose -i*b + 44 = -b. Let r = 294 + -284. What is the least common multiple of r and b?
110
Let p = 40591/42 - 967. Let w = -2096975/56 - -37444. What is the common denominator of p and w?
168
Suppose -j - 13582 = 3*q + 2*q, -2*j + 5*q = 27239. Let p = j + 367435/27. Calculate the common denominator of -25*(17/36)/(-17) and p.
108
Let k(y) = -y**2 + 26*y - 62. Let d be k(23). Suppose 0 = -d*u - 3 + 129. Let g(m) = m**2 + 3*m. What is the smallest common multiple of u and g(3)?
18
Let d = 1699 + -18704/11. Let u(v) = -3*v - 2. Let l be u(1). Calculate the common denominator of (((-230)/(-8))/l)/(63/28) and d.
99
Let n = 4613 + -581243/126. Find the common denominator of n and -31/162.
1134
Let w = 20501/14 + -1470. Calculate the common denominator of (3 + 1016/(-308))*1 and w.
154
Let f = -34695/8 + 25500901/5880. What is the common denominator of f and -31/441?
4410
Let f(j) = 18*j**2 + 232*j - 62. Calculate the lowest common multiple of f(-14) and 10.
1090
Let n = 6573 + -6321. What is the least common multiple of n and 378?
756
Let u(z) = -9*z**2 + 210*z - 311. What is the least common multiple of u(21) and 58?
3770
Let q(y) = -20623*y + 2. Let g be q(-1). Let f be (-83990)/g - 5 - -4. Let w = 7/375 - f. Find the common denominator of 85/8 and w.
88
Let z = -109 - -127. Let m = -8/1329 + 55391/2658. What is the common denominator of m and (-6 + (-889)/(-21))*3/z?
18
Calculate the common denominator of 127/1830 and 33/(-44) - 2/244*66132/(-648).
5490
Let o = -357194 + 533647867/1494. Find the common denominator of o and -77/166.
1494
Let q(n) = 28*n**2 - 18*n + 11. Let b(y) = 41*y**2 - 27*y + 17. Let c(x) = -5*b(x) + 8*q(x). Calculate the least common multiple of c(3) and 33.
1617
Let f(s) = -2*s**3 + 16*s**2 + 10*s - 61. Let p be f(8). Suppose 5*h - 17 = -w, 3*h = -3*w + 4*h + p. What is the least common multiple of 112 and w?
112
Let r(q) = -122*q - 78. Let s be r(6). Let c = -5623/7 - s. What is the common denominator of 13/10 and c?
70
Let p be (-12)/(((-6)/57)/(-1)). Let f = p + 75. Let q = -37 - f. What is the least common multiple of q and 10?
10
Suppose -3*c - 3*y + 5*y = -218, 5*c - 2*y = 362. Suppose 2*l - 8*l = -c. What is the lowest common multiple of 21 and l?
84
What is the least common multiple of 50*7/14*(82 - 16) and 50?
1650
Let f = -152 + 152. Suppose f*k = 6*k - 48. Calculate the smallest common multiple of k and 10.
40
Let t be -1 + (17566/6 - (-4)/3). Calculate the common denominator of 28/3 and (-70)/t - (-50)/(-400).
732
Suppose 4*h - l - 14 = l, 0 = -h - 2*l - 4. Let z = h - -19. Suppose 84*t + 396 - 2160 = 0. Calculate the least common multiple of z and t.
21
Suppose -21 - 19 = -4*j. Calculate the smallest common multiple of (-8)/10 + 18032/140 and j.
640
What is the least common multiple of (96/80)/(9*(-5)/(-150)) and 20?
20
What is the common denominator of -87/4 and (-15 + 8734/539)/(-19)?
3724
Let l = -7145 + 7175. Let w(n) = 18*n - 4. What is the smallest common multiple of l and w(3)?
150
Suppose 445 = h + 69*r - 70*r, 0 = -5*h + 4*r + 2232. Calculate the lowest common multiple of 339 and h.
1356
Let c(o) = -o**2 + 21*o - 6. Let b be c(20). Suppose -6*z = z - b. What is the least common multiple of (0 + (0 - -4))*2 and z?
8
Let f be (3 - 21/6)*(-65 - 1). Find the common denominator of -34/19 and 11/f - ((-229)/6 - -3).
38
What is the lowest common multiple of 6048 and (-140)/(-5) - -36*23/(-69)?
6048
Let l(a) = -6*a**2 - 6 + 5*a**2 - 31*a + 1 + 49*a. Calculate the smallest common multiple of 44 and l(17).
132
Suppose 109942 + 105518 = 159*k + 12*k. Calculate the least common multiple of k and 630.
1260
Let a = 214 + -164. Find the common denominator of 107*(-3)/12 - -2 and 9/((-252)/a) + 4.
28
Let z = 171 + -129. What is the common denominator of -179/30 and (7/z)/(10/71)?
60
Let y(h) be the second derivative of h**4/12 + 16*h**3/3 + 99*h**2/2 - 9*h - 3. What is the lowest common multiple of y(-29) and 6?
12
Let j be (-10053)/(-4002) + 75/(-30). Let s = 21899/9338 + j. Calculate the common denominator of 53/6 and s.
42
Let z be (-20)/(-11) - 4/(-22). Let j = 15335 + -613433/40. What is the common denominator of j and 2 - z/96*-158?
120
Suppose -5*i - 37 = -2*o, -o - 4*i - 575 = -600. Suppose 195 = 4*b + b. What is the least common multiple of o and b?
273
Let z = -48/47 + 1037/141. What is the common denominator of 64/45 and z?
45
What is the common denominator of 441/806442*(-136)/6 and -52/9?
24687
Let v(p) = 60*p + 196. Let o be v(-5). Find the common denominator of 270/32 + -1 + o + 101 and 139/72.
144
Let f = 3788 + -3782. Calculate the lowest common multiple of 48 and f.
48
Suppose -145*j = -144*j - 372. Calculate the lowest common multiple of j and 9.
1116
Let c(n) = n**2 + 4*n - 1. Let z be c(-5). Find the common denominator of ((-267)/z)/(1*(-351)/(-18)) and -61/22.
286
Let h = -819488 - -103258273/126. Let d = -110/7 + h. Calculate the common denominator of d and 59/6.
18
Let o = 3084 - 7932047/2572. What is the common denominator of 5/4 and o?
2572
Find the common denominator of (3/45)/((-432)/5913) and 127/72.
720
Let i = 7/12687 + 38581153/25374. Let u = 73043/48 - i. Find the common denominator of u and 17/54.
432
What is the lowest common multiple of (-1632)/(-18)*-3*4/(16/(-6)) and 714?
2856
Let q = -91660 - -16498879/180. Calculate the common denominator of 29/21 and q.
1260
Let z be (-2)/(48/359935) - (-74)/74. Suppose 5*t - 5*m = 74970, -t = -2*t + 4*m + 14979. Let p = t + z. What is the common denominator of -151/36 and p?
72
Let i be (-60)/8*296/44. Let n = -7984/165 - i. Let d = 2/4073 + -89636/61095. Find the common denominator of d and n.
15
Let z = -12173 - -14118. Calculate the least common multiple of z and 1.
1945
Let n(a) = 4*a**2 - 112*a + 428. Calculate the smallest common multiple of 884 and n(29).
7072
Let g = 1657 - 26493/16. Calculate the common denominator of g and -65/14.
112
What is the lowest common multiple of 31 and ((-7332)/(-104))/(1/6) + 32/(-4)?
12865
Let p be (-15)/(-200)*5 + 253/8. Suppose p = -3*n - 5*c + 159, -n + 43 = c. What is the smallest common multiple of n and 36?
396
Let a(p) = 2*p + 5. Let w(c) = -c**2 - 15*c - 10. Let u be w(-14). Suppose u + 4 = q. What is the smallest common multiple of a(q) and 27?
189
Suppose -2*u + 25 = -89. What is the least common multiple of u and 4/2*((-1700)/(-136) - (8 + 0))?
171
Suppose -5*a - 27 - 37 = -3*w, -4*a - 80 = -4*w. Let g(x) = 3*x**3 + 4*x**2 - 4*x - 2. Calculate the smallest common multiple of g(2) and w.
90
Suppose 3*i - 243 - 381 = -3*d, 4*i - 3*d - 832 = 0. Suppose -32 + i = 4*q. Calculate the lowest common multiple of 28 and q.
308
Let g = -1028 - -4996. Let s = g + -1749. Let t = 11137/5 - s. Find the common denominator of t and -49/5.
5
Suppose -47 - 3 = 5*b. Let r = -2558 - -40867/16. Calculate the common denominator of r and b/28 + -1 + -2.
112
What is the common denominator of ((-2295)/(-126))/(1*-24) and 101/448?
448
Let x = 166 + -161. What is the smallest common multiple of 227 and -5 - (2/(-2) - x)?
227
Calculate the lowest common multiple of 5 and (-185)/(-7) + 3/(-13 - (5 - 11)).
130
Let a = -686 - -696. Suppose 0 = a*f + 17*f - 2187. Calculate the smallest common multiple of 21 and f.
567
Let i = 90901/35 - 13023/5. Find the common denominator of 2 + -2 - 47/(-8) and i.
56
Let m be (2/(-4))/((-59900)/7488 + 8). Calculate the least common multiple of (-144)/m - (-804)/13 and 4.
124
Suppose 5*h - 15 = 0, 2*o = 2*h + 3*h - 7. Calculate the common denominator of -89/4 and (o/786)/((-8)/(-84)).
524
Let o be (108 + -3 + 2)/(-14). Let b = -97/7 + o. Let k = 753155 + -49708213/66. Find the common denominator of k and b.
66
Suppose 27 + 78 = 15*r. Suppose 0 = -r*i + 424 + 1340. Calculate the common denominator of (3/i)/1*(-282)/(-4) and 87/14.
56
Let c = 9351/11 - 12942081/15224. What is the common denominator of 101/72 and c?
12456
What is the smallest common multiple of 2/12 - ((-370)/12 + -9) and 525?
4200
Let h = -29678 + 3828530/129. Find the common denominator of h and 44/273.
11739
Find the common denominator of -125*962/(-38220) + (1/1 - 4) and -105/26.
3822
Let b = -17 - -15. Let v(r) = -9*r**3 + 4*r**2 + 3*r. Calculate the least common multiple of v(b) and (10/4)/(16/32