
33
Let x be 2 - ((-21)/7 - 1*2). Let i(s) be the second derivative of -s**4/12 + s**3 + 4*s**2 - 3*s. Calculate the least common multiple of i(x) and 6.
6
Suppose -y + 45 = -3*g, -5*g + 90 = -2*y + 4*y. Let r = 93 + -58. Calculate the least common multiple of y and r.
315
Suppose 0*l - 1595 = -29*l. Suppose -l = -26*s + 75. Let r = -3 - -7. Calculate the least common multiple of s and r.
20
Let z(c) = -5*c**3 + 324*c**2 + 63*c + 157. Calculate the least common multiple of 834 and z(65).
7506
What is the least common multiple of (0 - (-4)/8)*196 + 24/(-12) and 4?
96
Let k be (-50)/6*180/(-50). Calculate the common denominator of -73/3 and 2/k*1885/261.
27
Suppose 377200 = -14*t - 9*t. Let b = t + 442750/27. What is the common denominator of -139/30 and b?
270
Let c be (0/1 + 2)*-2. Let s = -3 + c. What is the common denominator of (-4)/s - 694/(-280) and -95/4?
20
Let p = -35201/13 - -155235071/57330. Calculate the common denominator of p and 61/5733.
57330
Let s(p) = -6*p**3 + p**2 - p + 1. Let l = 9 - 19. Calculate the least common multiple of s(-2) and 11/(165/l)*18/(-2).
330
Calculate the common denominator of (-35)/2730*10/4 and 61/249.
12948
Let f be -2 - (12/(-2) - 2). Let j be ((-5)/f)/(-5)*(-40930440)/(-880). Let l = 7753 - j. Find the common denominator of l and 145/6.
132
Let x = 3003475608006220093/61176 - 49095652019432. Let s = x + 21/20392. Let n = -1053 + s. Find the common denominator of -20/21 and n.
42
Let c = -15412 + 26832. Let t = c - 570929/50. What is the common denominator of t and 76/9?
450
Let f = 630074 - 10091413/16. Let k = 639 + f. Calculate the common denominator of k and -27/16.
16
Suppose -1 = j + 1. Let z = 4398 - 4318. What is the lowest common multiple of z and (6/(-24))/(j/24)?
240
What is the common denominator of (83/(-18))/((-728)/(-78)) and -115/54?
1512
Suppose 88*f - 18076 - 34196 = 0. What is the least common multiple of 20 and f?
5940
Suppose 0 = 7*k + 4*n - 184, -3*k + 3*n + 149 = 2*k. Calculate the least common multiple of k and 483.
1932
Let q be 2 + (-36)/15 - 510797033/(-8020). Let c = q + -63690. Let v = c - -15163/24060. What is the common denominator of v and -23/3?
30
Let v(l) = 63*l - 118. Let u be v(-8). What is the common denominator of -79/42 and (-44)/77 - -1 - u/84?
42
Suppose 245 = 10*q - 3*q. Suppose 0 = n + 223*x - 219*x - 127, 4*n - 534 = -3*x. What is the lowest common multiple of q and n?
945
What is the common denominator of (-2)/(-408)*20/(12320/(-42)) and 25/14?
20944
Let i = 259 - 108. What is the common denominator of (-3)/(-7) - i/(-105) and 52/3?
15
Let v be ((-9)/(-6) - 3)*24/(-9). Let o be (-20)/v + 4 - (3 + 1). Calculate the common denominator of -43/3 and 0 + -2 - ((-68)/o)/(-1).
15
Let s = -83307384 + 2498703719/30. Let t = 17258 + s. Find the common denominator of t and ((-20)/(-105))/((-2)/43) - (-2 + 0).
210
Let p = 20 - 14. Let r be (0/3)/((-6)/p). Let u(m) = -2*m + 12. What is the least common multiple of u(r) and 30?
60
Let m = 3883 - 3358. What is the smallest common multiple of m and 735?
3675
Suppose 5*n + 2*k + 3205 = -3*k, 2*n + 1272 = 3*k. Let c = 44467/4872 + -5/2436. Find the common denominator of c and ((-2)/(-6))/(-1)*n/(-27).
72
Let y be (-38)/209 - 42/11. Calculate the common denominator of (-4)/(-10)*((-513)/192 - y) and -49/60.
480
Let d = -821 - -824. Suppose d*h = 4*s + 21 + 4, -3*s = -5*h + 38. What is the smallest common multiple of (1/(-2))/(3/(-30)) and h?
35
Let m be (241/18 + -4)/(32/(-180204)). Let p = 52870 + m. What is the common denominator of -31/108 and p?
432
Let d = 616965/28 + -22038. Let c = 288 + -156. What is the common denominator of d and (158/c)/(6/(-18))?
308
Suppose 135 + 1890 = 225*n. Let t(r) = -r**2 - r + 15. What is the least common multiple of n and t(0)?
45
Let t = 16725/7 - 2388. Find the common denominator of t and -27/11.
77
Let b(q) = 2*q**2 - 33*q + 2. Let p be b(18). Suppose 0 = -5*w - t + 159, -2*w + 4 + p = 4*t. What is the lowest common multiple of 48 and w?
96
Let s = 896181078/4235 - 211613. What is the common denominator of 97/1155 and s?
12705
Let u be (2/(-20)*-5)/((-1)/(-12)). Let x = u + -12. Find the common denominator of 39/2 and (x/(-168)*7)/(2/(-76)).
2
Let z = 10738 + -2963687/276. Calculate the common denominator of z and -23/25.
6900
Let m = -21 - -26. Suppose x - 5*c - 135 = 0, 3*c = m*x + 2*c - 795. What is the least common multiple of (-15)/(-6)*x/25 and 10?
80
Suppose 3*n - 3*t = 9 + 3, t - 24 = -3*n. Suppose 0 = -11*d + 16*d - 155. Calculate the smallest common multiple of (d/(-4) - 9/(-12))/(-1) and n.
7
Suppose 3*p + p = 16. Let o = -1/219 - 21221/4818. What is the common denominator of (-426)/(-76)*p/12 and o?
418
Let c = -2980149 + 286091321/96. Let m = c - -249/8. What is the common denominator of 41/108 and m?
864
Let l = -23034 - -506659/22. Suppose -8*z + 3*z - 3*v = -2, 2*z = -v. Find the common denominator of ((-33)/828)/((-1)/28*z) and l.
1518
Let q be -4 + 1 - (-25 + -207052). Let w be 12/8 + 0 + q/32. Let j = w + -6470. Find the common denominator of j and 55/7.
112
Let n = 714 - 516. Suppose 0 = -4*p - g + n, -15*g - 46 = -p - 17*g. Calculate the lowest common multiple of 30 and p.
150
Let j = -146771 + 20548049/140. Calculate the common denominator of j and -23/294.
2940
Suppose 1838 = 2*p - 1570. Suppose -f - w = w - p, -3400 = -2*f + 4*w. Let c = 8564/5 - f. Calculate the common denominator of c and -34/5.
5
Let m = -845110 + 2148269647/2542. Calculate the common denominator of m and -53/16.
20336
Suppose 2*b + 6 = 0, -4*b - 2682 = -4*c + 8734. Let x = 25714/9 - c. Calculate the common denominator of x and -47/7.
63
Let d = -4157881/25938 + -127/1441. Let a = 161 + d. What is the common denominator of a and (0 + (-14)/(-84) + 2175/18)/10?
90
Let q be 2/930744*770709*4/(-8). Let h = -1/10008 - q. What is the common denominator of h and 109/18?
558
Let h be (-25)/(4 + (-53)/13). Suppose 317*g + 168 = h*g. What is the least common multiple of 24 and g?
168
Let n be 54/(-135) - 3071/60. Let y = n + 1001/18. What is the common denominator of -59/12 and y?
36
Let v = -5935 + 35527/6. Let a = 2278/315 + -1/105. What is the common denominator of a and v?
18
Let v(f) = f**2 + 5*f - 29. Let y be v(5). Suppose 0 = y*t - 16*t - 295. Suppose 0 = 10*o - 269 + t. Calculate the least common multiple of o and 18.
126
Let c(y) = y**3 - 10*y**2 + 34*y - 19. Let v be c(7). Find the common denominator of ((-394)/v + 10/45)/20 and -137/48.
240
Let q(s) = s**2 - 32*s + 78. Calculate the lowest common multiple of q(30) and 2.
18
Suppose -2*m + 14807 = 3*j + 5023, 5*m - 3*j - 24460 = 0. What is the lowest common multiple of m and 22?
53812
Let c = -3123 + 3127. Suppose -p + 39 = 4*x, 5*x = 2*p + p + 53. What is the lowest common multiple of c and x?
20
Let l(p) = -51*p - 902. What is the smallest common multiple of 96 and l(-34)?
2496
Suppose 3*z + 0 = -q - 1, 0 = -5*q - 5*z + 25. Suppose l = 5*l - q. Suppose -6*i + 80 = -l*i. What is the least common multiple of i and 12?
60
Calculate the common denominator of -79/18 and (-14)/(-4)*(-48)/(-56) + (-112702)/37680.
56520
Let s(u) = 24*u**2 - 34*u**2 - u**3 - 3*u + u - 18. Let z(k) = 2*k**2 + 7*k + 4. What is the smallest common multiple of z(-4) and s(-10)?
8
Let m be (24/2595)/(3/165*-2). Let f = 7433/1384 - m. Find the common denominator of (-1)/5*(-325)/(-14) and f.
56
Let c = 18089/783 + -714/29. What is the common denominator of ((-610)/(-18) + -11)/(-4) and c?
54
Let k(h) = -116 + 62 + 5*h + 0*h**2 - 20*h - 8*h**2 - h**3. Calculate the smallest common multiple of k(-8) and 4.
132
Let k(a) = -3*a - 11. Let d be (-9)/4*(-6 + 10). Let g(m) = -4*m + 112. Calculate the least common multiple of g(24) and k(d).
16
Let d = 58/35 - 298/35. What is the common denominator of (10/(-332))/(2/(-16)) and d?
581
Let c(i) = 47*i**2 + 61*i - 202. Calculate the lowest common multiple of 22 and c(3).
4444
Let r(t) = 20*t**2 + 8*t - 3. Let g be r(2). Suppose -5*k - g = -8*k. Let y = k - 28. Calculate the smallest common multiple of y and 11.
33
Find the common denominator of (-2)/(-7) - 169/812 and 2/4*(-15272)/(-2988).
1044
Let i be 10/25*(-10)/(-12)*0. Suppose -5*s = y - 15, 5*s = -4*y - i*y + 135. What is the smallest common multiple of y and 20?
40
Let b