or of n/(-6) - (-1)/(-3) and ((-44251)/(-27948))/((-7)/(-12)).
42
Suppose -13*n + 21*n - 112 = 0. Let h(a) = -a**3 + 15*a**2 - 12*a - 20. Calculate the lowest common multiple of h(n) and 12.
24
Suppose -4*a + 2*b = -608, a - 4*b - 99 = 46. Suppose 0 = -3*n + 5*p + a - 39, -3*n - 2*p + 93 = 0. Calculate the least common multiple of 219 and n.
2409
Let a(k) = 13*k - 47. Let w be a(4). Suppose -q + 2*r + 58 = 0, 2*r - 75 = -w*q + 155. Let z(o) = 6*o - 2. What is the smallest common multiple of z(3) and q?
48
Let t = -44446444/15 + 2958868. Let d = t - -4223. What is the common denominator of d and 67/6?
30
Let l = -23190747/544 + 42630. Calculate the common denominator of -101/14 and l.
3808
Let u = -5020456915/6048 + 830102. What is the common denominator of u and -15/14?
6048
Let h = 2/1012923 - -33424529/977470695. Find the common denominator of h and 9/10.
1930
Suppose 60*a = -6*a + 1246 + 602. Let q(c) = 9*c**2 - 2*c - 1. Let f be q(2). Let s = 51 - f. Calculate the smallest common multiple of a and s.
140
Suppose -4*c - 22 = -3*r, 2*r = 7*r - 4*c - 34. What is the lowest common multiple of 52 and (-1)/((-3)/(72/r))?
52
Let m = -569813 - -14463563377/25383. Let r = m - -973027/152298. Calculate the common denominator of 30/4*15/189 and r.
126
Let v be ((-3 - -2)/(-5))/(6/390). What is the common denominator of ((-424)/(-20))/((-3 - v) + 4) and 46/3?
30
Let g be (-3 - -4)*(-10)/((-30)/(-9)). Calculate the least common multiple of 11 - (g + 6)*(-2)/(-3) and 38.
342
Calculate the lowest common multiple of 256/112*(-721)/(-2) and 14.
5768
Let t(i) = 2*i**3 + 2*i**2 - 5*i - 3. Let n be t(2). Suppose -8*m + 1482 = n*m. What is the lowest common multiple of 39 and m?
78
What is the smallest common multiple of 60 and (27224/415)/(18/45)?
2460
Suppose 39 = 7*v - 52. Let j = 15 - v. Find the common denominator of -69/8 and ((-1530)/(-80))/(3/j).
8
Let v = -2 + 6. Suppose 7*i - 8*i - 680 = -5*b, -565 = -4*b + 5*i. Calculate the least common multiple of v and (-14 - (-2)/(-2))*(-243)/b.
108
Let s = 12/74357 + -10339007/20968674. Calculate the common denominator of s and -137/18.
846
Suppose 21*k = 362 + 982. Calculate the common denominator of 34 and k/98 - (-98)/343.
49
Calculate the common denominator of (59/(-4))/((-5985)/(-90)) and 17/152.
1064
Let s = -2433 - -3693. Calculate the least common multiple of s and 60.
1260
Let y = -263 + 251. Calculate the smallest common multiple of (-20)/y*24/20 and 27.
54
Let d = 59 + -54. Suppose -2*t = -a - 7, -d*t + 0*a = -3*a - 15. Calculate the smallest common multiple of 4 and t/1 + 1*-2.
4
Let q(m) = 12*m**2 - m. Let a(f) = -f**2 + 1. Let n(r) = a(r) + q(r). What is the smallest common multiple of n(1) and (5 - -3)*(-14 + 435/30)?
44
Let t = -61460 + 61493. Let z = -24 + 57. Calculate the lowest common multiple of z and t.
33
Suppose a = 6*a - 290. Suppose -15*v + 39*v = 432. What is the smallest common multiple of v and a?
522
Suppose 0 = -5*q - 3*b + 522, 0*q + b = 4*q - 421. Let i = -93 + q. Calculate the smallest common multiple of 2 - (-12)/(3 + 0) and i.
12
Suppose -5*y = -3*t - 164, -4*t + 140 = 4*y - 2*t. Let b be (-8 - -63)*(-8)/(-5). Suppose -7*r + b + 66 = 0. Calculate the lowest common multiple of y and r.
374
Let j = -2497 - -5227. What is the common denominator of 91/40 and (2562/j)/(12/5)?
1560
Let f(b) be the second derivative of b**5/20 - 13*b**4/12 + b**3/6 - 7*b**2/2 + 6*b + 1. What is the least common multiple of f(13) and 408?
408
Suppose 4*s - 12276 = a, -5*s + 2*a = -4*s - 3069. Let y = s - 12201/4. Let q = 8407 - 302737/36. Calculate the common denominator of q and y.
36
Let o be ((-1322)/(-4))/(1/(-2)). Let f = o - -761. Calculate the smallest common multiple of f and 220.
1100
Suppose -5*y - 4*o = 1157, y + 214 = -0*y + 5*o. Let k = y + 230. Calculate the smallest common multiple of 27 and k.
27
Let k be (4 - (-3)/(-3)) + (-144)/8. Find the common denominator of (-2)/10 - (-189)/(-5) and ((-35)/k + -1)*(-2)/8.
3
Suppose 4*l = -994 - 1134. Calculate the common denominator of ((-1)/(-4))/((-182)/l) + 2 and 42/5.
130
Let k = 136 + -112. Suppose -126 + 16 = -5*v. What is the least common multiple of k and v?
264
Let b be 4 + -2 - 13/(-8). Let c = -12273/8 + 1535. Let v = c + b. Calculate the common denominator of v and 49/9.
18
Let w(f) = -17*f**2 + 6*f - 2. Let y be w(-6). What is the common denominator of (y/(-4) + 1)*4/1020 and 25/204?
1020
Let d(v) = -48*v**3 - 3*v - 2. Let z = -38 + 37. Let u be d(z). Suppose 0 = 4*b - u - 159. What is the least common multiple of 10 and b?
260
Let s(x) = 2*x**2 - 2. Let z be 5/(15/6) - 1*-1. Calculate the smallest common multiple of s(-3) and (36/20 + -1*z)*-15.
144
Let z be ((-4)/(-2478))/(54/243). Let q = 33459/826 - z. What is the common denominator of q and 105/68?
68
Let p = 965 + -1615. What is the common denominator of (-1556)/p + (-8)/52 and 4 + 1/(-5)*56?
25
Suppose 1 = -14*p + 15. Find the common denominator of -163/150 and 6 + 2058/(-198) + 5/p.
1650
Let p = -328/49 - -5094/1127. Let r = 6889/33 - 620/3. What is the common denominator of p and r?
253
Suppose 2*c - 2*p + 23 = -3*c, 0 = 3*p + 3. Find the common denominator of (141/(-4))/(c + (-2)/2) and (-48)/640*(-41)/(-3).
40
Let b(v) = 4*v - 39. Suppose 6*u = 87 - 33. Let x be b(u). Calculate the least common multiple of 80 and ((-8)/x)/(11/66).
80
Suppose -4*z + 656 = 3*o, o - 12*z - 212 = -10*z. What is the smallest common multiple of o and 594?
2376
Find the common denominator of 67970/(-149688) + 4/9 and -39/22.
10692
Suppose -3*z = z - 136. Let u = -1143 + 1193. Suppose 5*d - 2*w - u = -10, -35 = -5*d + w. Calculate the smallest common multiple of d and z.
102
Let d be (-1 - (9 + -4)) + -280. Calculate the common denominator of 4/(-26) - (-359)/d and 57/77.
154
Let k = 422/7 + -4177/70. What is the common denominator of 19 - (-18 - (6 - (-13392)/(-315))) and k?
70
Suppose 3*r + 2*m = 79, 4*m + 63 = 3*r - 22. Calculate the smallest common multiple of 32/7 + -3 - 3/(-7) and r.
54
Let d be ((-1)/((-75)/(-931910)))/(4/(-6)). Let m = -18697 + d. Let g = m - -8123/135. Calculate the common denominator of 67/30 and g.
270
Suppose 0 = 2*z - 10, -9*y + 85 = -4*y + 4*z. Suppose 0 = -y*p + 320 - 47. Let b = -33 + 60. Calculate the smallest common multiple of b and p.
189
Suppose k - 42 = -15*s + 12*s, -3*s + 102 = 3*k. Calculate the smallest common multiple of 34 and (-10)/(-75) + 296/k.
170
Let l(a) = -42*a + 1906. What is the smallest common multiple of l(45) and 2?
16
Suppose 1669 = 19*d - 630. Calculate the smallest common multiple of d and 121.
121
Let i = -33 - -135. Suppose -12*u = -24*u - 17*u + 290. What is the lowest common multiple of i and u?
510
Let g = -123587/60 + 10314/5. Calculate the common denominator of 5/228 and g.
1140
Let j be 6/15 + 7/(-5). Suppose -84*n = -253 - 755. What is the smallest common multiple of n and (36/10)/(j/(-5))?
36
What is the common denominator of (-6)/(-2) - (-27)/(-72) and -53*(-276)/3519*(38/32 + -1)?
136
Let d be (-31 + 1)*(-42)/105. Let r be 5/2 - 2 - d/8. Calculate the lowest common multiple of (-6 + (-3 - r))*18/(-8) and 30.
90
Let u be (59/(-177))/((2/(-84))/1). Calculate the smallest common multiple of 16 and (-400)/(-35)*u/4.
80
Calculate the smallest common multiple of (60/(-21))/((-50)/55825) and 3190.
3190
Find the common denominator of ((-2)/(-64))/((-6210)/18906) and 1/2304.
11520
Let f = -904/5283493 + 588672144223/192319145200. Let d = f + 4/2275. What is the common denominator of -25/16 and d?
16
Let z be 1/(-2)*2 + -15. Let b be ((-9)/12 + (-4)/z)*2. Let s = b - -6. What is the least common multiple of s and 7?
35
Let k = -167 - -176. Suppose 4*w - k = 4*c + 15, c - 44 = -4*w. What is the lowest common multiple of 41 and w?
410
Let g = 9830328 - 135334125518/13767. Calculate the common denominator of 17/4 and g.
55068
Let a = 0 + 14. Suppose c = 5*c + s - 28, -5*s + a = -c. What is the lowest common multiple of c and (-5 - 0)/((-21)/(-18) + -2)?
6
Let w(q) = 3*q**2 - 13*q - 38. Calculate the lowest common multiple of w(-3) and 574.
1148
Suppose -11 = -2*t + 5*u - 42, u = 5. Let f be 81820/(-88) + (1 - t). Let h = f + 926. What is the common denominator of 13/6 and h?
66
Suppose -8*m + 7*m - 2*g + 70 = 0, 2*m - 130 = -2*g. Cal