 r(w) = -w**2 - 6*w - 1. What is the least common multiple of 4/(-5) + 576/z and r(-5)?
12
Let c = 33 - -2468. Calculate the least common multiple of 10 and c.
25010
Suppose 0 = -5*p - 5*o + 3235, -2206*o = p - 2203*o - 645. What is the lowest common multiple of 864 and p?
2592
Let a = -409 - -421. What is the common denominator of (a + (-7588)/630)*670/24 and 119/18?
54
Suppose 155*w - 203*w + 672 = 0. What is the lowest common multiple of 12404 and w?
12404
Let v = -134109 - -39428099/294. What is the common denominator of v and -173/210?
1470
Let o(f) = -32*f - 82. Let l be 1/((-7)/(-35)*-1). What is the lowest common multiple of 143 and o(l)?
858
Let p = 95 + -95. Let z(m) = -15*m + 14. What is the smallest common multiple of z(p) and 12?
84
Let g = -29/8233 + 1251883/2469900. What is the common denominator of -1/60 and g?
300
Let p(s) = 6*s**2 - 1. Let r = 74 - 73. Calculate the least common multiple of 4 and p(r).
20
Let g = -796 - -1203. Suppose 4*r + 5*o - g = 0, 5*r + 288 = 8*r - 2*o. What is the smallest common multiple of 77 and r?
1078
Find the common denominator of (-5 - -3) + 1 + (-559)/234 and 6/34*180/72.
306
Let w = 288/173 + -1601684/961707. Let a = -101891/33354 + w. Find the common denominator of 46/9 and a.
18
Find the common denominator of 69/(-184) + (-4)/26 + (-17437)/(-5096) and -59/444.
3108
Let n = 6631305/11 + -605250. Let y = -2408 - n. What is the common denominator of 9/11 and y?
11
Suppose 0*k + 2*k - 27 = -g, 5*g = -5*k + 80. Suppose 3*l - 456 = k*l. Find the common denominator of 1/18 and ((-50)/(-15))/(64/l).
288
Let c = 5561/4 - 1396. Suppose -3*m + 2*z = -127, -4*m = m + z - 203. What is the common denominator of m/(-1 + 4 + -1) and c?
4
Suppose -70 = 122*m - 127*m. Suppose 6*s - 832 = -7*s. What is the lowest common multiple of m and s?
448
Let p(d) = d**2 - 12*d - 31. Let k(r) = 4*r - 77. Let t be k(23). What is the lowest common multiple of 70 and p(t)?
70
Let l = 19290/13 - 423171/286. Let w be 6456/(-35) - (152/(-20) - -7). Let b = w + 375/2. What is the common denominator of b and l?
154
Suppose -6 - 2 = -n. Let u = 6315 - 6313. Suppose 4*q - 2*t - 78 = 0, 2*t - n = -u*q + 22. Calculate the lowest common multiple of q and 22.
198
Suppose 3*d = u + 42 + 21, 54 = 3*d - 4*u. Let f(j) = 2*j**2 - 6*j - 4. Let k be (-1)/(-2) + 33/6 + -1. What is the lowest common multiple of d and f(k)?
176
Suppose -5*o - i = -15021, 17*i = 19*i + 8. Calculate the least common multiple of o and 3005.
3005
Let l(d) = 13*d**3 + 8*d**2 + 19*d + 12. What is the lowest common multiple of 184 and l(5)?
3864
Let r be (52 - 51) + 1*(-82403)/(-280). Let j = r + -2373/8. Calculate the common denominator of 24/35 and j.
70
Let w(h) = -h**2 + 112*h - 1782. What is the least common multiple of 27 and w(81)?
729
Suppose -2*u - 76*u - 3*u + 2349 = 0. Let j(d) = d**2 + 0 - 1 - d + 4 + 0*d. Calculate the least common multiple of j(0) and u.
87
Suppose -19125 = -36*m - 5625. What is the lowest common multiple of m and 25?
375
Let i = 1601224/38553 + -2958/71. Calculate the common denominator of i and 25/48.
8688
Let y = 767/60 - -11/20. What is the common denominator of -149/108 and y?
108
Let n be 93840/(-28) - (-12)/28. Let l = 36825/11 + n. Let j = l - -1225/176. Calculate the common denominator of 51/32 and j.
32
Let c = 7485363/410 - 18257. Find the common denominator of 2/(-6)*(-540)/(-16) and c.
820
Let p = 376358/9 + -41825. Let a = -2/2087 - 10391/45914. Find the common denominator of p and a.
198
Let j = -246883/579258 + 3/10727. Calculate the common denominator of 43/126 and j.
378
Let c = 12648 + -328931/26. Find the common denominator of c and (147/72*9)/(3/(-2)).
52
Let f(g) = -g**3 - 9*g**2 + 20*g - 27. Let y be f(-11). What is the common denominator of (y/(-30))/(5 - (-1155)/(-222)) and (-1)/(-2) - (-49)/15?
90
Let k = 1053 - 1065. Let w = -12/9271 - -1103681/333756. Calculate the common denominator of w and 20/k + (-204)/(-1008).
252
Suppose 4*t = 4*z + 20, -2*t + 10 = -5*t - 2*z. Let y be t/(-3) - (-2 + 4). Calculate the lowest common multiple of 25 and y/7 + 1/(56/576).
50
Suppose -1298 - 711 = -41*k. Suppose -4*d - 2*f + 314 = f, d - 79 = -f. What is the least common multiple of k and d?
539
Let u = -3165 + 189751/60. What is the common denominator of 43/108 and u?
540
Find the common denominator of -19/10 and (-18)/42 + (-110877)/(-258440).
19880
Let h be 1512/126*(2 - 3)/(-4). Let x(y) = -y**3 - y**2 + y + 1. Let s be x(-2). What is the lowest common multiple of 4 and -1 + (h - s) + 23?
44
Find the common denominator of 97/2 and 2/6*117894/(-3439778).
8578
Suppose 18013 - 6755 = 2*t. Let a = 9731 - t. Let i = -16327/4 + a. Calculate the common denominator of i and 27/8.
8
Let j(x) = -x**2 + 7*x - 3. Let w be j(6). Suppose 59 = w*r - 58. Suppose -m + 22 = 2*l + 6, 3*l + r = 3*m. What is the lowest common multiple of m and 10?
70
Let n = 4928423/777 + -6343. Calculate the common denominator of n and -59/999.
6993
Let u = -184012/75285 - 2/8365. What is the common denominator of u and -83/480?
1440
Calculate the smallest common multiple of 5040 and 22 + (13/(-104)*-40 - (-10)/(-2)).
55440
Let u = 801 + -593. Calculate the smallest common multiple of 320 and u.
4160
Calculate the least common multiple of 2970 and 70/(-40) + (-18)/8 - -1*37.
2970
Let n be (-1 + -2 + -371)/(-2). Let z be 9*(n/6 + 1). Let u = 304 - z. Calculate the common denominator of -37/8 and u.
8
Suppose -537*i + 11*i + 3505570 = 52*i. Calculate the least common multiple of i and 3.
18195
Suppose 2*x - 7*x + 55 = 0. Let o(z) = 140*z**2 + 13152*z + 27. What is the smallest common multiple of x and o(-94)?
8569
Let x = 8780 + -8100. What is the least common multiple of 1360 and x?
1360
Let o be ((-2)/(-132769))/((-48)/1314036). Let y = 3/10213 + o. Find the common denominator of 37/18 and y.
1638
Suppose -r + 77 = 4*g - 0*g, -5*r = 3*g - 419. Let j(o) be the first derivative of 3*o**2/2 + 38*o - 143. Calculate the lowest common multiple of j(-10) and r.
680
Let s = -2175 - -19517/9. What is the common denominator of s and 3 + 30/20 + 49/(-15)?
90
Suppose -76 = -4*k - 3*z, 3*k - 29 - 17 = -5*z. Let h(b) = -b**2 + 6*b + 6. Let j be h(8). Let g = 14 + j. What is the smallest common multiple of k and g?
44
Let o(k) = 57. Let d(h) = 1. Let l(n) = 5*d(n) - o(n). Let g(p) = p + 103. Let i(q) = 3*g(q) + 7*l(q). Calculate the lowest common multiple of i(22) and 5.
55
Let b be ((-9)/162)/(28/11156775). Let d = -22131 - b. Let z = -381/8 - -50. What is the common denominator of z and d?
24
Suppose 3240 = 18*g - 5445 + 2277. Calculate the least common multiple of 96 and g.
8544
Let p be 6/(-4)*2*11/33. What is the common denominator of -101/138 and p/(-5)*((-580)/(-15) + -7)?
138
Let x be (-24432)/85806 + (-4)/(-14). Let a = x - 14341/40860. Let c = -2/23 + 859/92. Calculate the common denominator of a and c.
20
Calculate the smallest common multiple of (1 - -209)*((-105)/140)/(15/(-56)) and 49.
588
Let p(j) be the second derivative of 2*j**3/3 + 13*j**2 - j. Suppose -365 = -184*x + 257*x. What is the least common multiple of p(x) and 16?
48
Suppose 0 = -3*o - 6 - 12. Let c be (5/(-40))/((o/(-79724))/1). Let i = c + 1655. Find the common denominator of -65/18 and i.
36
Let h = 6453/8 - 3197/4. Let z = 264361/42 - 6295. What is the common denominator of h and z?
168
Calculate the common denominator of -6 - (4665/(-156))/5 and (9/72)/(1/(-190)).
52
Let n be 8 + (-3585 - -8)/(-7). Let r = 537 - n. Calculate the smallest common multiple of r and 36.
36
Let z(s) = -141*s + 2940. What is the smallest common multiple of 64 and z(20)?
960
Suppose 0 = -8*b + 19*b - 16995. Let o = b + -81911/53. Find the common denominator of o and (-16)/(-56)*(-34)/(-4).
371
Let d(v) = -85*v - 6703. Calculate the least common multiple of d(-79) and 8678.
52068
Let x = 980 + -480. What is the least common multiple of x and 900?
4500
What is the common denominator of (-45*(-24)/320)/((-108)/360) and -2*2/(-108)*53?
108
Calculate the common denominator of 39/16 and 25/(-280)*-10*(-4)/(-62).
3472
Let t be 18*(-2)/(-8)*12. What is the common denominator of -34/57 and 81/54*130/t?
342
Suppose -3*f - 308 = 2*j, 0 = 2*j - 3*j - f - 154. Let a = -152 - j. Calculate the smallest common multiple of 1