 multiple of 108 and p.
5292
Let f(d) = -7*d**3 + d**2 + 15*d - 3. Let g(r) = 20*r**3 - 2*r**2 - 46*r + 9. Let h(j) = -17*f(j) - 6*g(j). What is the smallest common multiple of 3 and h(-8)?
21
Let t(l) = 2*l - 5. Let p be t(4). Let z = 224 + -214. What is the smallest common multiple of (13 - p) + (-4)/(-2) and z?
60
Let w = 26619 + -26307. Calculate the lowest common multiple of w and 2028.
4056
What is the common denominator of (-1)/(-2)*1 - 298290/584075 and -44/3?
11490
What is the lowest common multiple of 4 + 1 + 24 + 32/(-4) and 111?
777
Let s be 2/(-3) + (-305)/15. Let d be (12/(-14))/(6/s). Suppose -27 = -3*p + h - 5, -4*h - 16 = -d*p. What is the smallest common multiple of p and 80?
80
Let i(z) = 5*z**2 - 5*z - 60. Let o be i(7). Suppose 156*y = o*y + 138. Calculate the smallest common multiple of 12 and y.
276
Let t be (-12)/(-2) + (2 - 5). Suppose -t*z = a - 9, -5 + 1 = -4*z. Let u(l) = -3*l**3 - 83*l**2 + 27*l - 1. What is the least common multiple of u(-28) and a?
54
Find the common denominator of -83/32 and (-29)/58 + (-3282)/(-7680).
1280
Let h(d) = -8*d - 94. Suppose -4*s = 2*p - 483 - 281, -3*s = p - 381. Calculate the lowest common multiple of p and h(-12).
384
Suppose -3*h = 5*v + 19, 0 = v - 23*h + 25*h + 8. Let i(w) = 7*w + w**2 - w**3 + 2*w**2 + 4*w**3 + 6. Find the common denominator of i(v) and 63/34.
34
What is the lowest common multiple of 30 and (-172 - -152)*87/(-6)?
870
Let j = -6 + 10. Suppose 0 = 4*a - a + 5*g + 395, 3*a + 2*g = -401. Let z = -132 - a. What is the lowest common multiple of j and z?
12
Let v = 2/791 + 30839/3955. Calculate the common denominator of v and 31/400.
400
Let t(q) = -7*q**2 - 104*q + 6. Suppose 14*k - 37 = 3*u + 15*k, -2*u - 22 = 2*k. What is the smallest common multiple of t(u) and 28?
700
Let f(l) = l**2 - 7*l - 21. Let b be 2/(2/7) + 3/(-3). Suppose q - 35 = b*z - z, 5*q - 75 = 5*z. What is the lowest common multiple of 18 and f(q)?
18
Calculate the smallest common multiple of 1408 and -21 + 1992/96 - (-1026)/8.
1408
Suppose 33*s - 68 = 97. Suppose 4*y - 53 = -s*q, -10*y - 4*q = -12*y + 20. Calculate the lowest common multiple of 52 and y.
156
What is the common denominator of -80/819 and (-81)/210 - 7/(-77)*-11?
8190
Let m be (6/(-86))/(60/(-200)). Let j = 1167/1505 - m. Calculate the common denominator of j and -46/35.
35
Let h be (7 + -7)/((-6)/(-3)). Suppose h = -p + 50 - 22. Calculate the least common multiple of 63 and p.
252
Suppose -6*m + 27 - 21 = 0. Suppose 37 = 9*d + m. What is the lowest common multiple of d and ((-25)/3)/(6/(-18))?
100
Let c = -14688847/10724 - -40476/383. Let l = -1266 - c. Let z = 379063/12 + -31597. Calculate the common denominator of l and z.
84
Suppose 5*n = 3*i + 32 - 148, 0 = -5*i - 4*n + 218. Let k be 305544/i*(-3)/(-5784). Let h = -3/241 - k. Calculate the common denominator of h and 13/30.
210
Suppose -2*b + 7*c + 1 = 0, 2*b + 3*c = 48 + 3. Let g(w) = 24*w**3 - w**2 + w. What is the smallest common multiple of g(1) and b?
72
Suppose l = -4*q + 42 - 10, q - 8 = -5*l. Calculate the lowest common multiple of 3*(-28)/(-24)*q and 21.
84
Suppose -566 + 230 = -3*i. Suppose f = -3*f + i. Calculate the lowest common multiple of f and ((-140)/(-21) - 6)/(18/270).
140
Calculate the common denominator of 12/(-108) - (-39)/(-216) and -101/4768.
14304
Suppose 0 = -4*o + 84 + 36. Suppose 7*s + o = 93. Suppose -2*z + 4 = -3*l + 75, 0 = -l - z + 32. Calculate the least common multiple of l and s.
27
Suppose 3*p = 4*y - 64, -5*y = 4*p - 9 - 40. Let u be (((-76778)/(-12))/y)/1. Let b = u + -490. What is the common denominator of 47/3 and b?
6
Let f = 9925 + -5428971/547. Let k = -28471/71110 - f. What is the common denominator of k and -41/104?
520
Let b = -13399 - -20137. Calculate the common denominator of 41/16 and -1 + -5 + b/1132.
4528
Suppose 4*g + 7*r = 10*r, 0 = 2*g - r. Suppose 4*i + 152 - 208 = g. Calculate the lowest common multiple of i and 2/5 - (-78)/5.
112
Let j = -13081/18 + 727. Find the common denominator of j and -1 - 35/(-40) - (-8062)/464.
36
Let r = 518251/196770 - 3/6559. What is the common denominator of r and 41/783?
7830
Let f(v) = -18*v - 6. Let b = 11 - 13. Calculate the lowest common multiple of 3 and f(b).
30
Let z = -150 - -150. What is the common denominator of -9/14 and z/(-2) + 1679/2576?
112
Suppose -2*n - 13 + 21 = 0. Let m(s) = s**2 + 11*s + 12. Let h be m(-11). Calculate the smallest common multiple of n and (h/42)/(2/14).
4
Suppose 12 = 4*q, -4*d + 4*q + 543 = 191. Let y(v) = -v + 1. Calculate the least common multiple of d and y(-4).
455
Let y(x) = -4132*x**3 + 6*x**2 + 6*x. Let i be y(-1). Let w = i + -41283/10. What is the common denominator of -69/130 and w?
130
Let s = -527664 + 21632982/41. Let u = s - -79833/2542. Find the common denominator of u and -47/18.
558
Let o = -22871473/285 + 80251. Find the common denominator of 1/20 and o.
1140
Suppose 17*l - 112375 = -12*l. Find the common denominator of 139/30 and -6 + 0 - l/(-600).
120
Let v = -23 + 33. Let y = 15037/36 - 1667/4. Calculate the common denominator of 24*3/(486/v) and y.
54
Let f = -81 - -73. Let t be (f - -4)/4*(-98)/(-2). Calculate the least common multiple of (-22)/(-7) - (-7)/t - -83 and 9.
774
Let j = 4445647/1833240 + -1/45831. Let d = 3071/738 - -23/41. Find the common denominator of j and d.
360
Let r be 66945/(-24) + (-1 - -2) - -2. Let q = -2792 - r. Find the common denominator of -97/108 and q.
216
Suppose -7*u + 3 = -4. Let r = u + -6. Calculate the lowest common multiple of (75/(-45))/(r/18) and 6.
6
Let m(r) = -r**2 + 3*r + 24. Let o be m(-9). Let x be (-9)/(-21) + (-104467)/o. Let d = 1245 - x. Calculate the common denominator of d and -55/16.
48
Let g(n) = -n - 10. Let h be g(-13). Let c be 3 - (h + (-150)/(-17)). Let v = c - 981/68. Find the common denominator of v and -43/6.
12
Calculate the common denominator of -33/14 and (-2)/(-13) + ((-7428943)/(-643188))/(-71).
2604
Let u = 39 + -39. Let c = -2282 + 34162/15. Find the common denominator of c and -2 - u/2 - -1.
15
Let t = -8386 + 50195/6. What is the common denominator of ((-20)/22)/(-5) - 2654/(-9240) and t?
420
Let b = 14/991 + 87751/31712. Calculate the common denominator of b and ((-1)/4)/((-54)/981).
96
Let d = -15/214 + -16681/3210. Suppose -2*r + 1385*c = 1386*c + 3, 0 = -5*r - c - 3. Calculate the common denominator of r and d.
15
Let t = 6766 - 94809/14. Calculate the common denominator of 75/38 and t.
266
Calculate the common denominator of 10 - 11 - 124/(-18) and (0/(-3) + -2)*490/820.
369
Let g be 10/(-20) - (-1)/((-4)/(-146)). Suppose 0 = -2*r - g + 28. Calculate the lowest common multiple of r*(-46)/8 + 5 and 16.
112
Calculate the common denominator of -41/18 and ((-95)/(-8700))/((5 - 3) + -1).
5220
Suppose 0 = -4*q + 18 + 30. Let h be (-2 + 0)/((-1)/(-5)). What is the common denominator of -9/5 and (q/(-5))/(h/10)?
5
Let k = 528 + -525. Suppose -r = k*o - 34, -15 = 5*o + 5*r - 85. Calculate the least common multiple of o and 138.
690
Find the common denominator of 81/188 and (-475)/(-150)*1/(-3).
1692
Let y(p) = -p**2 - 5*p + 7. Let z be y(-6). Find the common denominator of 0 - 98/(-4)*z and ((-402)/(-60) + -7)/(9/39).
10
Let d(o) = -2*o**3 + 17*o**2 + 13*o - 20. Let y be d(9). Calculate the common denominator of -131/54 and (3*111/(-432))/((-4)/y).
108
Let z(s) = s**2 - 9*s + 10. Suppose b + 8 = -4*u, 0*b + 58 = 4*b - 2*u. Suppose -b*g + 72 = -4*g. Calculate the smallest common multiple of g and z(9).
90
Calculate the lowest common multiple of 23 and (-75)/(-10)*((-8)/18)/(22/(-66)).
230
What is the common denominator of 42/(-2394)*2/(-2) + -3 + 3 and -1/399?
399
Let q = -156 - -822. Find the common denominator of ((-41)/(-9) - 2)*-2 and (-42)/(-35) - q/130.
117
Let j = 5312601755/2432 + -2184458. Find the common denominator of 77/152 and j.
2432
What is the common denominator of -1 - -8 - 10370/935 and 81/3652?
3652
Let d(r) = -r**2 - 2*r + 20. Let c be (-5)/2*(-5)/(25/6). Calculate the least common multiple of 26 and d(c).
130
Let l be (48/10 - 5)/(2/(-90)). Suppose p - 8 = -3*p. Calculate the common denominator of -9 and 422/40 + l/(-4) + p.
10
Suppose -4*u + j + 8 = 0, 3*u + 20 = 29*j - 25*j. What is the least common multiple of 2152 and u?
2152
Let r = 169