
Let i(p) = 72*p**2 + 13*p + 24. Let d be i(-2). Let z = 296 - d. Let y(t) = -t**2 - 9*t - 6. What is the smallest common multiple of y(-8) and z?
10
What is the smallest common multiple of (-196)/(-56) + 25/2 and 128?
128
Let j(i) be the third derivative of -i**5/60 + 17*i**4/24 - 17*i**3/3 + 39*i**2. Calculate the smallest common multiple of 10 and j(13).
90
Suppose -4*i - a = -45, -45 = -5*i - 9*a + 4*a. Let d(j) = -2*j + 2. Let y be d(-3). Calculate the least common multiple of i and y/2 - (-11 + (-1)/1).
48
Let d(p) = 19*p + 44. Let h be d(-6). Let g be 27703/(-10) + (-10)/(h/(-21)). Let t = 2765 + g. Find the common denominator of t and -86/45.
90
Let u = 2810 + -1625. Let b = u + -8257/7. Find the common denominator of b and 1/8.
56
Let b = -44859/10 - -4490. Calculate the common denominator of 5 - (643/(-84) + 12) and b.
420
Let m = -1/33409 + -1770628/1637041. Let v = 10647/4 + -2679. Calculate the common denominator of m and v.
196
Let d be (-1)/2 + 913653/(-11340). Let u = d - -1238/15. Find the common denominator of u and 111/20.
140
What is the least common multiple of 450 and (32 - 33)/(2/(-8))?
900
Let g = 79 - -85. Suppose -4*t + 136 = -2*i, 0 = -7*t + 3*t - 5*i + g. Let q = t - 16. Calculate the smallest common multiple of q and 2.
20
Let x be 2/4 - 109/18. Let p = x + 11/2. Find the common denominator of (534/16)/((-8 - 2) + 60/24) and p.
180
What is the smallest common multiple of 67/((-1876)/(-120))*21 and 330?
990
Let v = 63125/29458 - -56/1133. Calculate the common denominator of (-97)/2 + 0 + 0 and v.
26
Let d be (30/4)/(235/564). Let p = -757/1808 + 12/113. Calculate the common denominator of p and 6 + (-440)/75 - (-39)/d.
80
Let g = -1046778529/546801 + 36373/19. Let y = g - 2100883/230232. Find the common denominator of y and -99/124.
248
Let f = 455 + -452. Suppose -3*d + 8*d - 26 = -2*z, 0 = 4*d - f*z - 7. Calculate the smallest common multiple of 472 and d.
472
Let c(s) = -4*s**3 - 5*s**2 - 54*s - 410. What is the least common multiple of 18 and c(-6)?
5382
Suppose -150 = -q + 54. Let a be 20/(-170) - 24898/q. Let w = a - -292/3. What is the common denominator of w and 21?
6
Let h = 380 + -332. Suppose 41*q - h*q + 238 = 0. Let c(z) = z**3 - 4*z**2 + 3*z - 5. What is the least common multiple of c(4) and q?
238
Let q(l) = -2*l**3 + l**2 + 7*l + 3. Let a be q(-2). Find the common denominator of 17/42 and (-33)/110*67/a.
210
Let t = 36 - 34. Calculate the common denominator of -73/24 and (-27)/4*(-1)/60*t.
120
Let s be (-20)/195*-1965*6/1256. Let v = 30/157 + s. What is the common denominator of v and 77/4?
52
Let t = 3828023885/3512 + -1089984. What is the common denominator of 79/12 and t?
10536
Let q be (1/3)/((-4)/48*4). Let b = 14 + -7. What is the least common multiple of 6 and -1 + (-4)/q + b?
30
Let f = 3768 - 3386. What is the least common multiple of f and 16?
3056
Calculate the smallest common multiple of ((-126)/9 + 50)*(-2)/(-3) and (2/5)/(2/60).
24
Suppose 4*f + 12 = 0, 2*f + 332 - 96 = i. Let c = i + -120. Calculate the least common multiple of 22 and c.
110
Let v(x) = -x**2 + x + 46. Let k be v(-9). What is the lowest common multiple of 35 and ((-253)/k - 4)/((-1)/(-4))?
35
Suppose -5*b + 160 = 3*f - 0*b, -53 = -f - 2*b. Let q = -37 + f. Suppose -4*o + 4 = z - 0, 0 = -2*z + o + 53. Calculate the smallest common multiple of q and z.
72
Let c = -164 - -167. What is the common denominator of (-759)/(-126) - c*10/45 and 107/20?
140
Let s be (-2)/(-3 - 11860/(-3956)). Calculate the common denominator of (-112)/(-392) + s/42 and 79/39.
78
Suppose 2*x = -0*x + b + 6323, -4*x - 5*b + 12625 = 0. What is the smallest common multiple of 474 and x?
9480
Let b(c) = 33*c**2 + 10*c - 21. Let f be b(3). Find the common denominator of 0 - (35/11 - 0) and 646/f + 3*(-4)/(-6).
99
Suppose -s + 6*x = 9*x - 19, 2*x = 2*s + 2. Suppose 0 = 2*m - 5*d - 7, 3*m - s = 2*m + 2*d. What is the lowest common multiple of m and 6?
6
Suppose 4*m = 8, -3*m - 60 = -3*l + 39. Find the common denominator of -61/28 and (-6)/(-12) + 5/l.
28
Let l = -50021/155683635 - -4/26681. Let y = l - 112157/27230. Find the common denominator of 17/63 and y.
126
Let y = 809 + -806. Calculate the least common multiple of 15 and y.
15
Suppose 2*h - 68 = 4*m, -2*h + 3*m - 29 = -3*h. Calculate the least common multiple of h and (-6)/4 - (-134)/4.
32
Suppose 0 = -4*z + 2*f + 24, -3*z - 3*f + f + 18 = 0. Suppose 21 + 87 = 12*p. Let h(l) = -l**3 + 9*l**2 + 24. Calculate the least common multiple of h(p) and z.
24
Let i be ((-110)/319)/((-2)/13). Let m = 1795/1189 - i. Calculate the common denominator of 442/(-20) + (-4)/10 and m.
82
Let b be 4/(-6)*(-5)/(-10)*-6. Let s(g) = 4*g**3 + 2*g**2 - 4*g + 1. Calculate the lowest common multiple of s(2) and 1/b - (-207)/18.
132
Suppose 2*q - 3*g - g - 20 = 0, 4*q = 5*g + 28. Let c be (1 - 2/(-4))/(q/(-44)). Let l = 53 + c. Calculate the smallest common multiple of l and 20.
20
Suppose 2*g = -x + 4, 2*x + 14 = 4*g - 18. Let m(u) = -48*u**2 - 6*u + 7. Let s be m(x). Let h = -8477/5 - s. Find the common denominator of h and 91/6.
30
Let a = -149 + 329. Let y = 2623/1128 - -7/141. Calculate the common denominator of (-5)/(a/21)*(-30)/(-8) and y.
16
Let f(s) = -110 + 57 + 52. Let r(q) = -q. Let c(b) = -6*f(b) + r(b). What is the least common multiple of 16 and c(-18)?
48
Let p = -461 - -466. Suppose m - 37 - 11 = -2*g, p*m + 20 = 0. What is the lowest common multiple of 2 and g?
26
Let l be 20/(-11) + (-18)/99. What is the common denominator of 19/12 and 15/l*(-34)/357 + -1?
84
Let f = 21476555/264 - 81351. Calculate the common denominator of f and -1/264.
264
Let k = 47 + -51. Find the common denominator of 357/28*(-2)/(-9) and ((-2)/8)/(3/(-113)) + k.
12
Let z = 111118 - 26836. Let b = z + -6068197/72. What is the common denominator of 47/36 and b?
72
Suppose -3*m = 5*v - 388 + 150, 116 = 2*v - 4*m. Let b = 7055 - 7005. What is the least common multiple of v and b?
50
Let d = 9904 - 11765953/1188. Find the common denominator of -61/198 and d.
1188
Suppose -6 + 18 = 4*b. Suppose -12 = b*p, -3*p + 6*p = q - 14. What is the least common multiple of q and 1/(-7) - (6 - 240/14)?
22
Suppose c = -2*k - 2*c - 432, -2*k - 2*c - 430 = 0. Let h = -54 - k. Calculate the lowest common multiple of 9 and h.
477
Suppose -61*c + 288 = 11*c. Let j(i) = 3*i**2 - 2*i. Let t be 49/(-21) + 1/3. What is the lowest common multiple of j(t) and c?
16
Find the common denominator of 1/(-4) - 11*(-6558)/341880 and -32/1813.
18130
Let a = -10204 + 10449. What is the least common multiple of 196 and a?
980
Suppose g - 429 = -3*c, 0*c + c = -3*g + 1295. What is the smallest common multiple of g and 18?
432
Suppose -2*m - 4*o - 2 = 0, 5*o = 3*m + o - 27. Let z(s) = -668*s + 10039. Calculate the smallest common multiple of m and z(15).
95
Let t be 7610973/22*(-6)/(-72). Let a = t - 28830. Find the common denominator of a and -45/11.
88
Let o = 5473831/90 - 60822. Find the common denominator of -77/148 and o.
6660
Calculate the lowest common multiple of 576 and (-23822)/(-989) - 12/138.
576
Let q(p) = 2*p**2 + 8*p + 20. Calculate the least common multiple of 486 and q(-5).
2430
Let d be 5*(3 + (-81)/15). Let k = 8231 + -502113/61. Find the common denominator of (4/d + 2)/((-11)/30) and k.
671
Let a = -1/711474 - -44113793/1711094970. Calculate the common denominator of a and -137/30.
14430
Let q = 1/1622 - -73721/129760. Find the common denominator of q and 1/64.
320
Let t = -17 - -33. Let x = -932 - -942. Calculate the lowest common multiple of x and t.
80
Suppose 3*o + 4*w = -2 + 55, 0 = 4*w - 8. Suppose 6*x = -421 + 691. Calculate the lowest common multiple of o and x.
45
Let s(x) = -x**3 - 21*x**2 + 24*x + 24. Let i be s(-22). Let b be (-1)/((i/325)/4). Suppose -2 + b = 7*z. What is the lowest common multiple of 27 and z?
27
Let p = 2/1349 + 93073/5396. Let r = -407782/313 - 129940619/21910. Let v = -7233 - r. What is the common denominator of p and v?
140
Let k = -20 + 22. Let r(o) = -114*o + 4. Let w be r(6). Calculate the common denominator of -99/10 and w/(-187)*(-1)/k.
110
What is the lowest common multiple of (-10 - -6 - -7) + 14 + -7 and 926?
4630
Let h(v) = -v - 28. Let x(i) = 25. Let l(o) = 6*h(o) + 5*x(o). What is the least common multipl