ppose -5 = -m + 5*z, 0 = 5*m + 9*z + 1 - 60. What is the least common multiple of m and 295?
590
Let c be 1 + (-2)/(-8)*0. Let q be 2/(-3)*(c + 20708/(-32)). Let u = q + -18987/44. Calculate the common denominator of -63/50 and u.
550
Suppose -14 = -2*b - 2. Find the common denominator of -37/20 and (-3)/b*(2 + 6/(-22)).
220
Calculate the smallest common multiple of 693 and (9 + -4)/5 + 269/1*2.
4851
Let y(l) = l**3 + 8*l**2 - 10*l + 13. Suppose 18*p = 28 + 80. What is the smallest common multiple of y(-9) and p?
66
Let h = -23194 - -2296132/99. Find the common denominator of 29/126 and h.
1386
Let n = -6749/1368 + 10/171. Suppose -2*p - 68 = 4*r + r, 4*r - 16 = 0. What is the common denominator of n and 2 - (-188)/p - 1?
88
Let f be 126/(-8205)*-1*(-30)/(-16). Let m = 18971/8205 - f. Let r = -1/269 - -48719/8070. What is the common denominator of m and r?
60
Let t = -17318 + 675439/39. Calculate the common denominator of (1 + -147)*2/(-12) and t.
39
Let k be (-21)/(-6) + (-4 - (-45)/10). What is the smallest common multiple of 12 and (-10)/k*2 - (-22 - 15)?
96
Calculate the smallest common multiple of 685 and (-5)/4*(-141384)/430.
2055
Let n(x) = -8*x**3 - 2*x**2 - 6*x - 8. Let m be n(-2). Calculate the common denominator of -29/197 and (-304)/m - (138/(-18) - -6).
985
Suppose -s - 4*s = 110. Suppose 135*r - 275 = 124*r. Let i = r + s. What is the smallest common multiple of 27 and i?
27
Suppose 5*k + k = -24. Let c be k/(-4263)*(-70390)/(-440). Let i = 2/1421 + c. Calculate the common denominator of i and -23/12.
132
Let u = 743757 - 1512801665/2034. Find the common denominator of -127/18 and u.
2034
Suppose 3*h = -5*c + 27, 69*h + 2*c - 22 = 67*h. What is the least common multiple of h and 2140?
14980
What is the common denominator of 28891/4008 + (10/(-4) - -1) and -43/612?
1224
Let x(l) = -1386*l + 10936. What is the smallest common multiple of x(-100) and 10?
747680
Let m = 393 + -398. Calculate the common denominator of -113/66 and (m - -7) + (-123)/(-180).
660
Let o(a) be the second derivative of -a**5/20 - a**4/2 + 5*a**2/2 - 4*a + 2. Calculate the lowest common multiple of o(-6) and 1.
5
Let c(z) = -z**2 - 21*z - 1. Let i be c(-19). Suppose -4*m + i = 73. Calculate the smallest common multiple of 16 and 4/(m/(468/(-8))).
208
Let l = -2 - -26. Suppose -10*p + 148 + 992 = 0. What is the smallest common multiple of l and p?
456
Suppose -2882 = -17*c + 2252. What is the least common multiple of c and 36?
5436
Suppose -28*u + 18*u - 13950 = -15*u. What is the lowest common multiple of u and 279?
2790
Let w = 1/1202 - -42669/2404. Calculate the common denominator of (-37)/6 + -3 + 2 and w.
12
Let t = 1/11140 - -236723/22280. Suppose -3*d + 3*x = -1194, 5*d - x = x + 1990. Let b = d - 1691/4. What is the common denominator of b and t?
8
Calculate the common denominator of 121/80 and ((-2136)/675)/((-161)/115) + -2.
5040
Let m = 435 - 12157/28. What is the common denominator of m and ((-9640)/(-480) - 20)*(-137 + (-2 - -2))?
84
Let x = -5911 - -455153/77. Let v = -31327/46207 + -15/943. Find the common denominator of x and v.
539
What is the common denominator of 17/280 and (43736/43120)/(42/5 + 0)?
5880
Let y be (-2)/(-4) - (-2)/(12/(-123)). Let m = y + 29. What is the common denominator of -43/10 and (5/6)/5 - (m + -7)?
30
Suppose 38*m = 43*m - 3*c - 3790, -m = -5*c - 780. What is the least common multiple of 40 and m?
6040
Let b = 130982/35 + -3743. Find the common denominator of -72/245 and b.
245
Let k = -29 - -32. Suppose 0*i - 14 = -5*i - 4*t, k*t + 5 = 4*i. Let m(g) = -g**2 + g + 5. Calculate the smallest common multiple of m(0) and i.
10
Suppose g + 23*g = 48. Calculate the common denominator of 87/22 and g*((-6)/(-9) + (-4235)/6060).
2222
Suppose -149*d + 17922 + 212538 = -34*d. Calculate the least common multiple of d and 112.
56112
Let n = -20 - -322. Find the common denominator of 2 - (n/96 - 4) and -115/42.
336
Let q be 0 - (11 + -10) - 284721/(-50). Let k = 5691 - q. Calculate the common denominator of 1/3 and k.
150
Let o(y) = 3*y**2 + 23*y - 42. Calculate the smallest common multiple of o(-11) and ((-5)/(250/(-80)))/(2/85).
68
Let z = -5/22094 - -690820/1690191. What is the common denominator of z and 47/459?
918
Suppose -5*u = 5*f - 28435, 5*f + 5*u - 28475 = 10*u. What is the least common multiple of f and 63?
17073
Let q(p) = -2*p**2 + 21*p - 46. Let y be q(7). Suppose -4*v = -y*k + 152, k - 33 = 3*v + 16. What is the smallest common multiple of 104 and k?
104
Let x be ((-9)/3)/(5 + (-20)/5). Find the common denominator of 3/(-15)*(x - (-722)/4) and 34/9.
18
Suppose -4*p + 5*c + 235 = 0, 5*p - 4*c - 297 = -c. Let t = p - 40. Suppose -5*q + 10 = 0, q - 25 = 5*i - 173. What is the least common multiple of t and i?
60
Let j = 474 - 436. Suppose 4*o = -10 + j. What is the lowest common multiple of 59 and o?
413
What is the common denominator of 97/352 and (10/(409 + -9))/(8/28)?
1760
Let a = -65051 - -23418281/360. What is the common denominator of a and 127/24?
360
Let t = 6563 + -5723. Calculate the lowest common multiple of t and 1080.
7560
Let c be (-1)/(-4) + ((-485)/4 - -1). Let r be c/(-21) + 2/7. Suppose r*t - 12*t = -564. Calculate the lowest common multiple of t and 16.
752
Let n = -1492597/341610 + 30/11387. Let s = 858 - 5113/6. Find the common denominator of s and n.
30
Suppose 9*m - 8*m + 3*q = 17, 0 = -2*m - 5*q + 29. Let s be m/13 - 7/(91/54). Find the common denominator of (s/(-20))/((-5)/65) and 6/25.
25
Let y(f) = -f**2 - 6*f - 84. Let d be y(0). What is the common denominator of -49/116 and 72/(-126) - (-50)/d?
348
Let o be ((-10)/(-195)*13)/(2/3). Calculate the common denominator of ((-558)/1860)/((-18)/184*o) and -31/5.
15
Suppose -21*p + 23*p + 144 = g, 5*g = -3*p + 681. What is the least common multiple of g and 230?
690
Let w = -25 + 67. Calculate the lowest common multiple of w and 9/27 + (-660)/(-99).
42
Let h(l) = 2*l**2 - 11*l + 66. Let n = -411 + 417. Calculate the lowest common multiple of 108 and h(n).
216
Let r(p) = -p**3 + 50*p**2 + 19*p - 134. What is the least common multiple of 96 and r(50)?
1632
Let r(b) = 27*b**2 + 6*b - 5. Let z be r(1). Suppose 2*c + 58 = 4*k + 5*c, 0 = -2*k - 2*c + z. What is the least common multiple of k and 44?
176
Let r = 245 + -241. Suppose 0 = -0*y - r*y + 352. What is the smallest common multiple of y and 77?
616
Suppose 5*p + 2*b + 396 = 119, 5*b = -4*p - 225. Let n = -55 - p. Find the common denominator of -3 - (-652)/48 - (n + -1) and 47/4.
12
Let z = -337/744 + -1/186. Find the common denominator of z and 23/192.
192
Calculate the common denominator of (-45)/(-14) - (2 - 0) and 837/56 - 17/((-17)/(-17)).
56
Let k = 51/37 + 285/518. Calculate the common denominator of k and (-235)/475 - (-1)/2.
1330
Suppose 4*f - 30 = -2*i + 12, 0 = -2*f + 5*i - 9. Suppose 5*p + 7 = -f. Calculate the common denominator of 141/70 and ((-3)/(-126))/(p/(-369)).
70
Let p = 386 - 342. Suppose 15*c = 117 + 123. Calculate the smallest common multiple of c and p.
176
Let s(w) = -11*w**3 - 5*w**2 - 5*w + 14. Let t be s(-6). What is the common denominator of 1 + 1 + (-3380)/t and -149/18?
1008
Suppose -144 - 16 = -20*f. What is the least common multiple of 250 and f?
1000
Calculate the common denominator of -87/2356 and (-4)/(-18)*(3 + (-3852)/(-96)).
7068
Let j be (50/(-175) - (-24)/(-14)) + 7. Calculate the common denominator of -79/100 and ((-14)/280)/(j/(30/(-4))).
200
Suppose -o = -5*j + 38, 0 = 5*o - 6*o - 3. Let z = j + -6. Find the common denominator of (15/160 - z)*-1 and 83/14.
224
Let i = 88/43 - 6672/1075. Let y = 666622 - 433303821/650. Let c = i + y. Calculate the common denominator of -65/6 and c.
78
Let x be (17129/6972 - 5)/(10/(-39)). Let c = x + -18/415. Calculate the common denominator of c and -53/86.
344
Suppose 3*i = -4*g + 58, 4*g - 3*g = -2. Calculate the common denominator of -41/20 and (i/55)/(16/(-65)).
40
Let i(h) = h**3 + 10*h**2 + 8*h - 3. Let t be i(-9). Suppose -t*d + 50 = -d. What is the lowest common multiple of (8162/(-2915))/(2/(-5)) and d?
70
Let m = -34959 - -34966. What is the smallest common multiple of m and 3957?
27699
Let x = 29020 - 957584/33. Let o = -40742 + 244411/6. Calculate the common denominator of o and x.
66
Find the common de