051. Calculate the common denominator of 69/488 and t.
7320
Suppose 11 = g - 4. Let l be (0 - 3)*1*(-4)/3. Calculate the lowest common multiple of 16 and (l/10)/((g/(-3))/(-275)).
176
Let k = 625996391/19500 - 417330/13. What is the common denominator of k and -11/24?
3000
Let n(w) = -2*w - 4*w**2 - 5*w - 5*w**2 - 8 + 8*w**2. Let q be n(-4). Suppose -q*u + 3 = -m, m - 9 - 4 = -4*u. Calculate the lowest common multiple of u and 16.
16
Suppose 0 = -35*v + 33*v. Suppose v = k + 15 - 12. Find the common denominator of -69/10 and (-1)/k + (-203)/126.
90
Let x = 1700/59 + -190201/6726. Calculate the common denominator of 13/57 and x.
114
What is the least common multiple of (-6*250/225)/((-10)/36) and 472?
1416
Suppose 9 - 8 = t. Let c be ((-2)/2)/t - (16 - -31). Find the common denominator of 5 - 4/(c/(-34)) and 65/22.
66
What is the common denominator of (-535)/260*(-10)/(-15)*(-5)/(-30) and -5/468?
468
Let r(h) = h**2 - h + 7. Let i be r(-7). Let f = i - 66. Calculate the common denominator of f/(120/(-34)) + -3 + 0 and -9/86.
860
Suppose 9*t + 228 = 10*t - u, -5*u - 674 = -3*t. Calculate the lowest common multiple of t and 17.
3961
Let p be 50/5 - 6 - -6. Calculate the common denominator of -85/21 and 1012/336 + p/(-12).
84
Suppose -423*z + 27360 = -309*z. Calculate the lowest common multiple of z and 64.
960
Suppose 10575*j = 10562*j + 4212. What is the smallest common multiple of j and 1620?
1620
Let w be 286*(5/(-30))/((-3)/9). Find the common denominator of 109/18 and -3 - (22/w + (-1099)/468).
36
Let u(i) = -i - 76. Let z be u(8). Find the common denominator of (-23)/12 - (-1)/1 and (-3069)/(-868)*8/z.
588
Suppose -2*l = -4*t - 2682, -5*t + 5*l = -0*t + 3365. Let b = t - -785. Calculate the smallest common multiple of 24 and b.
936
Let w be (-1)/4 - 1/(-4) - 1. Calculate the common denominator of 545/(-70) - 2/w and (237/16 + -3)*4/(-12).
112
Suppose 10 = -2*g - 2. Let y = 97 + -100. What is the least common multiple of 2 and -1 - (g*2/1 + y)?
14
Suppose -6 = 8*u - 9*u. Suppose -33 = -u*j + 3*j. Calculate the lowest common multiple of 3 and j.
33
Let k = -60421/28210 + 418/155. Let c = -52 + 617/12. Calculate the common denominator of k and c.
1092
Let w = -3847 - -92431/24. Let j = -340723/20 + 17030. What is the common denominator of j and w?
120
Let p(c) = -c**3 + 35*c**2 + 42*c + 46. Calculate the lowest common multiple of 1 and p(36).
262
Let k = -863137/30 - -28776. What is the common denominator of -73/720 and k?
720
Suppose f = 2*d + 93, 3*d - 4*f = -3*f - 141. Let w = -32 - d. Suppose 20 = 5*j, 2*b + 5*j - 157 + 29 = 0. What is the lowest common multiple of b and w?
432
Let u be (-2)/(-4)*-3*10/(-3). Let z(k) = 8*k + 4. Let g(v) = -23*v - 13. Let j(r) = -6*g(r) - 17*z(r). What is the least common multiple of j(u) and 4?
20
Suppose 5*k = 2*h - 1050, -2*k - 2556 = -5*h + 6. Calculate the smallest common multiple of h and 50.
2550
Let j = -776 + 810. Calculate the smallest common multiple of j and 34.
34
Suppose 55572 = 3*x - 14*x. Let b be (-8)/(-2) + (-69166)/x. Let r = b + 60/421. Find the common denominator of -33/130 and r.
390
Suppose 17157 - 7120 = 28*x - 18411. Calculate the lowest common multiple of 1016 and x.
1016
Calculate the lowest common multiple of (-384)/30*695/(-4) and 695.
11120
Suppose 2*v - 3*a = -114, -5*v - 2*a - 298 = -3*a. What is the common denominator of -35 and 327/v*-4*20/(-72)?
18
Let i = -20065/26 + 772. Let f = 158157/760 - 3924/19. Find the common denominator of i and f.
520
Suppose -1615*q + 222 = 3*l - 1618*q, 2*l + 5*q - 134 = 0. Calculate the smallest common multiple of 292 and l.
5256
Suppose 0 = -5*l - 218*n + 221*n + 11890, -2*n = 3*l - 7115. What is the lowest common multiple of l and 5?
2375
Suppose 91*n = 55*n - 103*n + 83400. Calculate the least common multiple of 60 and n.
600
Let n = -90 - -99. Suppose 0 = -2*x - n + 15. Suppose y - 27 = 4*i + 4, -4*i = x*y - 45. What is the least common multiple of y and 10?
190
Let h(y) = 12*y - 8. Suppose 0 = 5*r + 5*t, 2*t = 4*r + r - 21. Calculate the smallest common multiple of h(5) and r*86/36 - (-2)/(-12).
364
Let z(l) = l**2 - 45*l + 87. Let w be z(42). Calculate the common denominator of (-130)/w*(-16)/(-60) and -1/10.
90
Let l(v) = -9*v - 24. Suppose -5*u = 10 - 50. Let j be (-22)/u - 8/32. Calculate the least common multiple of 15 and l(j).
15
Suppose 0 = p - 3*y - 4, 3*y + 8 = 3*p - 22. Suppose p = k - 0. Calculate the smallest common multiple of 6 and 12/(-4) + k + 0.
30
Let v(c) = -352*c + 9507. Suppose -282 = -5*g + 123. What is the smallest common multiple of g and v(27)?
81
Let x = -14 - -22. Calculate the smallest common multiple of x and (-6128)/(-32) + (-8)/(-20) + 4/40.
192
Let b be (-841)/(-116) - 2/8. Suppose -13 = -5*d + b. Calculate the lowest common multiple of (-14)/(-4 + 28/8) and d.
28
Suppose -39*q + 645 - 60 = 0. Calculate the lowest common multiple of 144 and q.
720
Let a = 1561661 - 445073939/285. Let z = a + 108/95. Find the common denominator of z and -48/11.
627
Suppose -b + 1 = 0, -2*c + 6*b - b = 59. Let h be (-3 + 0 - 30/(-9))*c. What is the smallest common multiple of 18 and (18/4)/h*(-32)/2?
72
Calculate the common denominator of (-20)/(-70) - (-15861)/(-3402) - (-18 + 13) and 64/267.
14418
Let j = -762273241980 - -301921185683206343/396080. Let c = 8/4951 - j. What is the common denominator of 41/22 and c?
880
Let h = -358802414576/313678599849 + 992878/1023291. Let v = -298/967 - h. Let w = v + 32467/55158. What is the common denominator of w and 89/12?
348
Suppose 18*z + 23*z + 131364 = 0. What is the common denominator of 17/6 and 50/(-225) - 1207/z?
1068
Let k be 0 + (46807/14)/1. Let q(g) = 15*g**2 + 31*g - 4. Let o be q(-16). Let v = k - o. Calculate the common denominator of v and -81/26.
182
Suppose 0 = -4*t - t + 80. Let o(q) = q**3 - 7*q**2 - 4*q + 64. Calculate the lowest common multiple of o(6) and t.
16
Let q be ((-12)/10)/(9/(-240)) - -1. Suppose 4*j - u = q, -2*j - 5*u + u + 30 = 0. Suppose -j*h = -3*h - 126. What is the lowest common multiple of 24 and h?
168
Suppose -6 - 6 = -6*m. Suppose -6 = -3*a, 0 = -m*p - 5*a - 1 + 11. Suppose p = -5*b - 0*b - 5, -5*b + 70 = 5*i. What is the least common multiple of i and 48?
240
Suppose 47*x + 90 = 42*x. Let o = 15 - x. Let k = 60 - 21. Calculate the least common multiple of o and k.
429
Calculate the common denominator of -95/1434 and ((-96)/120 + (-139)/(-5))*52/(-120).
7170
Let a = 66008/15 + -4396. Let d be -1*((-99)/(-6))/(-3)*-18. What is the common denominator of 24/d - 2 - -1 - -2 and a?
165
Let s be -30*(-1)/(1 + -4 + 1). Let i = 41909/6 - 188648/27. What is the common denominator of s/315 + 0 + 4 and i?
378
Let d(f) = 4*f**2 - 2*f + 9. Suppose -l - 3*r + 36 = 0, -22*l = -20*l - 2*r - 96. What is the least common multiple of d(5) and l?
495
Let w = 18138 - 31873. Let d = w + 274627/20. What is the common denominator of d and 0/(-2) - (-78)/8?
20
Let g(w) = 2*w**2 - 356*w + 5954. What is the smallest common multiple of 480 and g(17)?
480
Suppose -27*i = 5*j - 25*i + 271, 4*j = -i - 218. Let a be 136/(-2) - (-2)/(-1). Let w = j - a. Calculate the smallest common multiple of w and 12.
60
Suppose 2*u = 43 + 61. Let n(m) = -m**3 - 18*m**2 + 13*m - 37. Let p be n(-19). What is the smallest common multiple of (-15)/(-20) - p/(-4) and u?
260
Let g(k) = k**3 + 8*k**2 + 13*k + 6. Let c be g(-6). Suppose -o + 6*o - 60 = c. Suppose -z - o = -3*z. Calculate the lowest common multiple of z and 12.
12
Find the common denominator of 157/420 and (23/(-14))/(6 + (-720)/70).
420
Let a(t) = -6*t + t + 3*t + 13 + 13. Let f be a(10). Calculate the least common multiple of 6 and (f/(-9))/((-6)/18).
6
Let z = -16149/85 + 78909/136. Let v = z - 1993/5. What is the common denominator of 71/20 and v?
40
Let w = -884785/34 - -26020. What is the common denominator of w and 39/340?
340
Suppose 15 = o + 4*s, -3*o - 24 = -6*o - 5*s. Suppose f + 2*d + o*d + 3 = 0, 3*f = 5*d + 11. Calculate the lowest common multiple of 2 and f.
2
Find the common denominator of -71/1472 and 210/(-1120)*31/36.
4416
Let o = 33 - 7. Let k be 108/o - 2 - (-14)/(-91). Suppose -3*b + 7*b + k*s - 66 = 0, -s + 71 = 4*b. Calculate the common denominator of 65/14 and b.
14
Let z = -66936983/594 - -120943