623. Calculate the lowest common multiple of p and 21.
10983
Suppose -2*w = -o + 6 - 0, 17 = 3*o - 5*w. Suppose -575 = -5*t + 4*g, o*g - 460 = -15*t + 11*t. What is the smallest common multiple of t and 30?
690
Let x be ((0 - (-10)/10565) + 0)*2. Let c = x + 154189/31695. Find the common denominator of c and -37/50.
150
Let n(t) = 35*t**2 + 5*t + 4. Let s be n(-1). Suppose -37*a + s*a + 18 = 0. Let o(j) = j**2 + 3*j + 6. Calculate the smallest common multiple of o(-7) and a.
102
Calculate the lowest common multiple of 120 and (417 - 413) + (0 + 2 - (1 + -3)).
120
Suppose -f - 11*f = -396. Suppose 0 = -4*y + 2*p - p + f, 29 = 3*y - 5*p. Calculate the least common multiple of 16 and y.
16
Let h = -333 + 338. Let y(u) = -u**3 - u + 51. What is the least common multiple of y(0) and (24/6 - h)*-3?
51
Let u(n) = -n**2 + 2*n + 12. Let s be u(-3). Let y be 1*12/s*(-3)/2. What is the common denominator of 107/12 and ((-4)/y)/((-160)/(-568))?
60
Let k = -57 - -57. Suppose k = -4*s - 3*r - r, 0 = 3*s - r. Suppose 8*j - 52 - 28 = s. What is the lowest common multiple of j and 4?
20
Let b = 2643 + -2562. What is the smallest common multiple of 135 and b?
405
Let k(q) = -q**3 + 7*q**2 + 15*q + 30. Let l be k(9). Suppose -606 = -l*w - 480. Calculate the lowest common multiple of w and 8.
168
Let h(i) = 9*i + 33. Let z be h(-3). What is the lowest common multiple of 12 and (-16)/(-28)*147/z?
84
Let y = 126182201/7276 - 69369/4. Let x = y + -102706/49113. Calculate the common denominator of 127/6 and x.
54
Find the common denominator of (-15)/(-320)*(2770/630 + -5) and -49/960.
6720
Suppose 0 = -5*l + 2*k + 17, -3*l - k = 2*k - 6. Suppose -24 = -4*d + 4*u, 5*u + 0 = -2*d - 16. What is the lowest common multiple of 9 and l*(-5)/((-15)/d)?
18
Let y(z) = z**3 + 7*z**2 + z - 3. Let p be y(-7). Let d be (p/15)/((-3547)/3). Let w = d - 31979/99316. Calculate the common denominator of w and -79/20.
140
Suppose 3*d - 2*d - 81 = 0. Calculate the lowest common multiple of d and 3699.
11097
Calculate the lowest common multiple of (6244/(-669))/(19/(-9) - -2) and 182.
1092
Let y(q) be the first derivative of -16*q**3/3 - 48*q**2 + 12*q + 47. Calculate the smallest common multiple of y(-6) and 80.
240
Suppose 5*w + 5*g + 140 = 0, -5*g + 52 = -11*w + 8*w. Let f(a) = -a**3 - 22*a**2 + 44*a + 30. What is the lowest common multiple of f(w) and 12?
252
Let r(d) = d**3 + 13*d**2 - 337*d + 8. What is the lowest common multiple of 48 and r(16)?
4080
Let r = -3692507 + 50210710239/13598. Find the common denominator of 99/4 and r.
27196
Suppose 255*x = 257*x + 80. What is the common denominator of 2 - 1/(-28)*-218 and 3 + 2/(x/(-26))?
70
Calculate the common denominator of ((-2170)/35805)/((-304)/153) and 79/1881.
15048
Suppose 5*u - 1 - 74 = 0. Calculate the smallest common multiple of u and (-201)/(-39) + 6/(-39).
15
Let i = -132 + 75. Let t = -37 - i. Suppose 50 = g + t. What is the lowest common multiple of 33 and g?
330
What is the common denominator of 11/2372 and 14/21*(-1266)/128 - (25 - 30)?
18976
Let o(p) = -23*p - 323. What is the lowest common multiple of o(-31) and 156?
780
Suppose -3*n = -5*h - n + 111, -2*h = 2*n - 36. Let w = -38 + h. Find the common denominator of 578/48 + w/(-136) and -70/3.
6
Find the common denominator of (1 + (-26)/14)*(-666)/72 and 79/2002.
2002
Suppose -78 = h + 97. Let q = h - -178. Calculate the least common multiple of q and 21.
21
Suppose 3*w = -5*p - 5, w - 3*p + 7*p + 4 = 0. Suppose w = t - 5*l - 43, 0 = -0*t - t - 4*l - 2. Find the common denominator of 411/t + 6 + -4 and 55/6.
6
Let a = -30/233 - -14453/1864. Let z(j) = j**3 + 19*j**2 + 15*j - 6. Let n be z(-18). Calculate the common denominator of a and (100/n + -2)/((-2)/(-556)).
24
Find the common denominator of 53/20 and 3/(-8) + ((-22)/7640)/(96/(-15440)).
11460
Let c be (-1*3/6)/((-14)/(-3024)). Calculate the common denominator of c/(-57) + -2 + (-762)/(-19) and 15/391.
391
Let v = -409067/21342 - -2/3557. Let x = -13850 + 540073/39. Calculate the common denominator of v and x.
78
Calculate the least common multiple of 4095 and -1 + 2360 - (58 - 39).
16380
Suppose 6*w - 1974 + 678 = 0. Calculate the least common multiple of 500 and w.
27000
Let g be -1 - 3 - (-72 + -5). Suppose -91 = -3*f - g. Find the common denominator of -25/2 and (1 - -3) + f/(450/(-357)).
50
Let d(n) be the first derivative of n**4/2 + 9*n**3 - 9*n**2 - 36*n + 104. Calculate the least common multiple of 212 and d(-14).
1060
Let x(d) = -d**3 - 5*d**2 - 2*d - 11. Let o be x(-5). Let v be (5/(20/7324))/(6 - o). Let c = v - 262. Find the common denominator of c and 74/9.
63
Let q = -616717/21 + 29368. What is the common denominator of 16/981 and q?
6867
Suppose -6*w + 5*w + 1 = 0. Let y be w/(11/66*(-2 + 0)). Calculate the lowest common multiple of ((-28 - 1) + y)/(-1) and 12.
96
Calculate the common denominator of ((-4)/((-84)/83))/((-175)/(-21) - 9) and 131/2526.
17682
Let p(a) = a**3 - 30*a**2 + 40*a - 74. Let q be p(28). Let f = q + 603. Calculate the smallest common multiple of 27 and f.
81
Suppose -b - 5*y + 684 = 0, -2*y = 4*b - 2535 - 273. What is the common denominator of (33/(-312))/((-48)/b) and 3/20?
780
Let h = -44 + 49. Suppose 4*w = h*g - 69, -2*g + 16 = -w - g. Let f = w + 23. What is the lowest common multiple of 14 and f?
84
Suppose 10 = 39*i - 29*i. Calculate the common denominator of ((-6)/(-3) - -51)*i/(-18) and -91/102.
306
Let t(q) = -60*q + 495. Calculate the lowest common multiple of 260 and t(5).
780
Find the common denominator of (-248)/(-1116) - (-664)/(-882) and 810/(-13965) + (-2)/19.
49
Let s(a) = a**2 - 8*a - 1. Let t(p) = p**2 + 1. Let f(d) = -s(d) + 2*t(d). Calculate the smallest common multiple of f(-9) and (-546)/(-36) + (-8)/48 + 5.
60
Suppose -147861 - 244635 = -221*u. Calculate the lowest common multiple of u and 3256.
19536
Let p = -282 + 793. What is the smallest common multiple of p and 365?
2555
Let g = 331 - 273. Suppose g*f - 40*f = 324. What is the smallest common multiple of 102 and f?
306
Let g(b) = 10*b - 8. Let w be g(-1). Calculate the common denominator of -79/54 and (-9525)/(-250)*(-5)/w.
108
Let z = 1163208262009/46162050 - 4/7693675. Let o = z - 25202. Calculate the common denominator of o and -37/27.
270
What is the common denominator of 67/2610 and 62/(-288) - (0 - 32/(-48))?
20880
Calculate the common denominator of 1*(-21)/28 + 5 + 2 and -29/913.
3652
Let x(a) = 2*a**2 + 199*a + 2325. What is the lowest common multiple of x(-11) and 90?
1890
Let o = -4 - -8. Let d(v) = -9*v**3 + 2*v**2 + 7. Let g(y) = 11*y**3 - 3*y**2 - 8. Let w(u) = 6*d(u) + 5*g(u). What is the least common multiple of w(o) and 10?
90
Let p(c) = -312*c - 910. Calculate the least common multiple of p(-3) and 6.
78
Let r = 40 - 68. What is the common denominator of -15/14 and ((-278)/r - 2)/((-72)/(-48))?
14
Let q = -11615 + 2276553/196. Find the common denominator of 49/6 and q.
588
Suppose -826 = -13*i + 11*i - 21*k, 0 = -2*k + 4. What is the smallest common multiple of 392 and i?
392
Let d(x) = x**2 - 39*x + 42. Let c be d(28). Find the common denominator of 2/9 - (-1780)/(-396) and 8/1 - c/190.
55
Let f = -318286/384265 - 3/10979. What is the common denominator of f and (-6)/(-21) + (-32)/7?
35
What is the common denominator of ((-2)/(-4))/((-3020)/(-32012)) and 95/2706?
13530
Let s = 484715024696 + -74427507326761916/153549. Let t = -6/5687 - s. Find the common denominator of t and 1*3/(27/(-67)).
27
Let x(b) = b**3 + 2*b**2 - 4*b - 6. Let c be x(-4). Let o be (-13 + -128)*698/c. Let p = o + -4477. Find the common denominator of p and -79/20.
220
Let d be ((-4)/5)/(6/(-15)). What is the lowest common multiple of (11/(33/14))/(1/3) and (1*42)/3 - d?
84
Let p(u) = -1538*u + 2. Let o be p(-1). Let v = -16217/2748 + -7/458. Find the common denominator of v and (o/(-96))/11 - 0.
24
Let h(y) = -4*y - 7. Let a be h(-3). Suppose a*l = -4*p - 223, 0 = -4*p + l - 28 - 225. Let j = -47 - p. What is the lowest common multiple of j and 24?
120
Find the common denominator of (-17320)/28560 + -5*(42/45)/(-7) and -3/2.
714
Suppose -7*l = -2280 - 905. Let i = l - 15016/33. What is the common denominator of i and -1/24?
264
Let h = -2232/17 - -325875/2482. Let m = h + 30397/6205. What is the comm