= 10. Calculate the lowest common multiple of x and 9.
90
Suppose -r = -5*r - 16, r + 4 = 5*w. Let u(f) = -f + 12. Suppose -1013*d = 721*d - 24276. Calculate the least common multiple of d and u(w).
84
Suppose -69 + 249 = -3*a. Let g = -3661/9 + 1240/3. What is the common denominator of g and (112/a)/((-27)/(-15))?
27
Suppose 4*c = 325 - 329. What is the common denominator of (-97)/(-25)*(12/8 + c) and -37/25?
50
Let r = -1913 - -1197. Let d = r - -1340. Calculate the least common multiple of d and 8.
624
Suppose 2*d - 120 = -g, -224 - 136 = -3*g + 2*d. Calculate the smallest common multiple of g and 900.
1800
Let t be 252 - (-7 + 7)/8. Suppose f + 5 = 0, -2*l + 311 = f - t. Calculate the lowest common multiple of 44 and l.
3124
Let b(f) = f**3 - 15*f**2 + 13*f - 24. Let a be b(10). What is the common denominator of 10 + -4 - (a/(-36) - -1) and 103/276?
828
Suppose -420 = -3*d - 2*i - 36, 15 = -5*i. Calculate the smallest common multiple of d and 247.
2470
Suppose -63*s = -58*s + 1800. Let p = s + 711. Calculate the least common multiple of p/(-26)*4/(-3) and 82.
738
Let a be 162 + 3 + (0 - 0)/1. What is the common denominator of 30/a + (-199)/66 and 43/(-14) + -3 + 1?
42
Let n = -401836489/70851 - -107760/19. Calculate the common denominator of n and 107/678.
7458
Let s = 1641 - 2506. What is the common denominator of (-148)/30*(s/140 + 6) and 125/42?
42
Let m = 4381 + -4016. Calculate the least common multiple of m and 100.
7300
Let g(r) = -28*r - 52. Let j be g(-9). Let v = -173 + j. What is the lowest common multiple of 33 and v?
297
Let o(i) = -i + 21. Let j(x) = -2*x - 21. Let t be j(-7). Let h(p) = p - 21. Let g(w) = t*h(w) - 6*o(w). What is the least common multiple of 28 and g(9)?
84
Calculate the lowest common multiple of 2756 and 0/(-4 - -3) + (1 + -1273)/(-2).
8268
Let v = -37 - -38. Suppose -9*f = -4*f + 105. Find the common denominator of (v/f)/((-24)/324)*-8 and 34/7.
7
What is the smallest common multiple of ((-22425)/65 + 7 + 1)*-7 and 6066?
42462
Let s(i) = 2*i**3 + 4*i**2 - 2*i + 2. Let o be 15 + (4 + -6 - 0). Suppose -o*n + 80 = -154. Calculate the least common multiple of s(2) and n.
90
Let q(o) = -o**3 - 5*o**2 - 10*o - 16. Let d(n) = 2*n**2 + 14*n + 8. Let i be d(-6). What is the lowest common multiple of 31/4 + (-1)/(-4) and q(i)?
8
Calculate the common denominator of 2/(-14) - 9705/159684*-2 and 71/2.
3802
Let p = 188655 - 141113997/748. Calculate the common denominator of p and 81/272.
2992
Let g(k) be the first derivative of -k**2/2 + 6*k + 9. Let r(j) = -j**2 + 1. Let s(b) = g(b) - 2*r(b). Calculate the least common multiple of s(0) and 5.
20
Let h(l) = l + 49. Let v(o) = -o - 48. Let n(q) = -2*h(q) - 3*v(q). What is the lowest common multiple of 56 and n(-6)?
280
Let c = -13334 - -13418. Calculate the smallest common multiple of 1748 and c.
36708
Let r(g) = 2*g**2 - 435*g + 2*g**3 + 430*g + 5 + 6*g**2. Let j be r(-6). What is the common denominator of (3*j/(-6))/10 and -45/4?
20
Let z = 2/18187 + 2273363/109122. Find the common denominator of (-73439)/80724 - 12/(-186) and z.
84
Let p be (-792)/28 + (-8)/(-28). Calculate the least common multiple of -13*p/98 - (-4)/14 and 19.
76
Let h = 2221 + -17803/8. Let o = 80036 - 20168951/252. Calculate the common denominator of h and o.
504
Find the common denominator of 11 + (-101445)/5280 - -8 and 109/176.
352
Suppose 24 = -a - 5*d, -456*d - 30 = -451*d. What is the least common multiple of a and 282?
282
Suppose 3*i = 3*y - 21, 5*i - 5 = y + i. What is the common denominator of (-4257)/(-591) - (y + -4) and -85/4?
788
Let g = -505811/8645670 - -1/349320. Find the common denominator of 41/1782 and g.
7128
Let j = -6901099/9 - -764460. Let u = -2322 - j. What is the common denominator of -83/6 and u?
18
Suppose -25*o - 34 = -30*o + 4*b, 2*o = 3*b + 8. What is the smallest common multiple of 737 and o?
7370
Let k = 2259851/276 - 8188. Find the common denominator of k and 119/552.
552
Let n = -105901/4 - -26470. Suppose -663 + 258 = 5*z. What is the common denominator of n and (z/28)/((-3)/(-2))?
28
Let l = -4403/8 - -552. Calculate the common denominator of -3 + 357/150*1 and l.
200
Suppose -5*r + 175 = -0*r. Let y be (-16)/(-224)*4 + 38/14. Suppose -4*x + r - 4 = o, -y*x - o = -22. Calculate the least common multiple of 17 and x.
153
Suppose -a + 152 = -9*a. Let s(b) = -b**3 - 19*b**2 - 2*b - 33. Calculate the lowest common multiple of 8 and s(a).
40
Suppose 0 = 5*m + 4*c + 2564, 3*m - c = 3*c - 1532. Let b = 2945/6 + m. Find the common denominator of -45/14 and b.
42
Let n = -234 - -264. Calculate the smallest common multiple of 24 and n - (2 + -1 + 5).
24
Let f(k) = -k**3 + 90*k**2 - 173*k - 187. Suppose 0 = 11*q - 9*q - 322. What is the smallest common multiple of q and f(88)?
1771
Let s(i) = i + 59. Let a be s(20). Let h = 139 - a. What is the least common multiple of 30 and h?
60
Let q be (-4 + 9)/10 - 49405/(-12). Let v = 4114 - q. Calculate the common denominator of v and -23/66.
132
Suppose 0 = -2*q - q + 84. Let w(g) = g**3 - 7*g + 10. What is the least common multiple of w(3) and q?
112
Suppose -5*l = -3*g - 4 + 41, 2*g = l + 13. Suppose -s + 36 = -g*s. What is the least common multiple of 4 and (-74)/(-9) + s/54?
8
Let g = -71/76 - 25/19. Let o be 20/6 - 4/(-6). What is the common denominator of g and 629/28 - o/(-14)?
4
Suppose -g + 280 = g. Calculate the lowest common multiple of g and (33 + (-34 - -5))*(-6)/(-4).
420
What is the common denominator of 205/30*(-6)/8 and -5/1942?
7768
Let u be 54 + (30 + 6)/(-6). What is the common denominator of 131/12 and (-316)/u - (6 + (-4 - -1))?
12
Let c = 3838/65 + -375357/6370. What is the common denominator of c and -19/490?
490
Suppose 0 = 2*o + 122 - 138. What is the smallest common multiple of 136 and o?
136
Let k = 145 - 109. Let h = k + -34. Calculate the common denominator of (192/(-21))/(-4 + h/14) and 22/21.
189
Let z = -2729/78480 - -1/19620. Calculate the common denominator of z and (16/(-18) + 1)/(-1).
144
Suppose 23*k - 1463 - 837 = 0. What is the smallest common multiple of k and 325?
1300
Let b = 140 - 290. What is the common denominator of -51/28 and ((-25)/(-16) - 1)*b/(-63)?
56
Let m be ((-135)/(-10))/((-2)/(-4) - 1). What is the least common multiple of 30 and (m/12)/((-5)/100)?
90
Let h = 4 - 10. Let q = h - -8. Suppose 5*f - 4*s = -s + 830, 0 = 2*f + 2*s - 332. Calculate the smallest common multiple of f and q.
166
Let l = -42565/17 - -2504. Let h be (4/5)/(24/2220). What is the common denominator of l and (h/(-6))/(8/12)?
34
Suppose -2*j = 3*z - 2*z + 36, 2*z = -5*j - 77. Find the common denominator of z*(-2)/(-80)*7/2 and 109/60.
120
Find the common denominator of (-16)/(-105)*(-3)/2 and 291116/(-49175)*(-5)/32.
280
Let z = 4947063/118 + -41924. What is the common denominator of z and 32/3?
354
Suppose -115 = -g - 5*h + 2*h, 2*h + 190 = 2*g. Calculate the smallest common multiple of 690 and g.
6900
Let r(c) = -9 - 2*c**2 - 18*c + 13*c + 4 + 3*c**3. Let n be r(3). Suppose 0 = -53*y + n*y + 150. Calculate the smallest common multiple of y and 8.
120
What is the smallest common multiple of 240 and (-1 + 12)/(-2*(-1)/40)?
2640
Let j = 3163352/133 - 23784. Let q = j + -6/19. Let f = -44893/11 + 4085. Find the common denominator of q and f.
77
Let d(f) = f. Suppose 0*i - 2*l + 16 = 3*i, -3*i - l = -20. Suppose 3*s = i + 13. What is the smallest common multiple of d(s) and 8?
56
Let x(d) = -1324*d - 11594. What is the least common multiple of x(-11) and 180?
5940
Let o(c) = -463*c - 3225. Calculate the least common multiple of 1328 and o(-7).
1328
Let p = -1047 - -1305. Calculate the smallest common multiple of 33 and p.
2838
Let u = -2149 - -2523. What is the least common multiple of u and 102?
1122
Suppose 41*h + 12*h - 1122 = 20*h. Calculate the least common multiple of 960 and h.
16320
Let p(f) = 4*f**2 - 137*f + 34. Let i be p(34). Let l(z) = 2*z**2 - 12*z + 12. Calculate the smallest common multiple of l(i) and 63.
252
Suppose -l - 54 = -24. What is the common denominator of 79/76 and l/450 - 251/60?
76
Let n(b) = 49*b**2 - 9 - 14*b - 95*b**2 + 47*b**2. What is the smallest common multiple of 4 and n(15)?
12
What is the smallest common multiple of 1736 and ((-34)/68)/(-5 + (-15395)/(-3080))?
190