-67/30 and (18/(-45) + (-1285)/(-2900))*712/900?
2610
Let p(n) be the first derivative of 821*n**2/2 + 38*n - 1. Let o be p(-8). Let m = o + 78403/12. Calculate the common denominator of m and 58/3.
12
Let z(r) = -2*r**2 - 2*r - 2. Let m be z(-3). What is the common denominator of (-150 + 4 + -7)*17/561 and m/3*78/(-8)?
22
What is the smallest common multiple of 231 and 37 + -39 - (-1091)/2*(2 - 0)?
7623
Calculate the common denominator of 112/(-2100)*(-1 - 93/150) and -21/1000.
5000
Let u(x) = x**2 + 5*x + 2. Let y be 4/(-10) + 138/(-30). Suppose t = -2*d + d + 13, -74 = -5*t - 2*d. What is the smallest common multiple of t and u(y)?
16
Let w = -9917/660 - -164/11. Calculate the common denominator of w and (-1150)/(-24)*96/(-640)*1/3.
240
Let l = 21608/109 + -43936393/221706. What is the common denominator of l and -97/1808?
16272
Let u be (0 + 379183)*1/24. Let d = -15794 + u. Find the common denominator of d and 1 + ((-64)/27)/4.
216
Let b = -3674 + 3678. Calculate the lowest common multiple of 116 and b.
116
Suppose 0 = 6*v + 2*v - 40. Suppose 0 = -v*m + 3*c - 8*c - 65, 4*c + 22 = -m. What is the common denominator of 57/22 and (-61)/(-15)*m/(-4)?
66
Let d = -91 - -93. Find the common denominator of 36/25 and ((-1)/10)/(d/134).
50
Calculate the least common multiple of 1134 and (-1 - 27/(-15))/((-12)/(-21870)).
10206
Let s(w) = 14*w**3 + w**2 + 2*w + 4. Let j be s(3). Suppose -x + 8*u = 3*u - j, 2*x - 836 = -4*u. Calculate the least common multiple of x and 9.
3708
Let f = -113 + 111. Let c be (f + 3)/(2/12). What is the common denominator of -37/40 and 94/22*c/(-12)?
440
Calculate the common denominator of (-10)/20 + (-5)/39*10 and -163/150.
1950
Suppose -x - 84 = -5*x. Let t = x + -15. Calculate the common denominator of 21/16 and (t/(-36))/(4/(-378)).
16
Suppose -3*r = 9 - 51. Suppose g + r = 3*q + 1, -q - 5*g + 31 = 0. Calculate the common denominator of -38 and (-9)/7*63/q.
2
Let r be (-15)/6*2864/(-20). Suppose -2*g = 2*i - 88, 5*g = 5*i + 88 - r. Calculate the smallest common multiple of i and 70.
490
Calculate the common denominator of 48/(-30) - (-797)/465 and 53/62.
930
Let u(i) = 2*i**2 + 10*i + 6. Suppose -15 = 55*t - 58*t - n, 7*t + 4*n = 20. Calculate the lowest common multiple of u(-6) and t.
72
Let a(u) = u**2 - 107*u + 423. What is the smallest common multiple of 144 and a(103)?
1584
Let d = 30/569 - -20813/4552. What is the common denominator of -3/5794 and d?
23176
Suppose 4*d + 314 = 5*c - 697, -5*c - 2*d + 987 = 0. Let i = c - 179. Calculate the lowest common multiple of 106 and i.
1060
Let r be -101 - ((-2)/7 - (-627)/(-133)). Find the common denominator of ((-74)/(-3))/(r/144) and 82/15.
15
Let d be (-282)/7 - ((-57)/(-21) + -3). Calculate the lowest common multiple of 40 and d/(-6)*(-1161)/(-86).
360
Suppose -16836 = -2056*p + 2044*p. Calculate the least common multiple of p and 5.
7015
Let f(x) = 1262*x + 44. Let w be f(5). Let y = w + -38033/6. Calculate the common denominator of -15/179 and y.
1074
Suppose 2646*l - 15004 = 2525*l. Suppose -3*t - 128 = -4*k + t, 3*t = -2*k + 44. What is the smallest common multiple of k and l?
868
Suppose -3*f + 11*f = -864. Let m = f - -120. What is the smallest common multiple of 16 and m?
48
Let k = -1683/1219 - -19324725/14007529. Let b = k + -700087/827352. Find the common denominator of b and (-162)/(-28) + (2 - 0).
504
Let w = -5/1222 - 35110/5499. Find the common denominator of -19/498 and w.
1494
Let m = -130204 + 11718509/90. Calculate the common denominator of m and -89/8.
360
Let d(h) = -30*h + 1698. Calculate the least common multiple of d(19) and 96.
4512
Suppose 3*r + r = -5*n + 495, 0 = -3*r - 6*n + 351. Calculate the least common multiple of r and 4845.
43605
Find the common denominator of (-6 - 19*(-8)/24)/(16/43) and -37/544.
1632
Let l = 3875 + -3526. What is the lowest common multiple of l and 10?
3490
Let z(k) = k**2 + 2*k - 6. Let f be z(4). Let d be (-4 + (-1 - -6))/((-2)/(-10)). Calculate the common denominator of (-819)/f + d/1 and 77/32.
32
Let o(h) = -4*h**2 - 99*h - 583. Calculate the least common multiple of (-10)/55 + (-574)/(-11) and o(-15).
52
Let i(a) be the first derivative of a**4/4 - 4*a**3 + 9*a**2/2 - 11*a - 1. Let k be i(-12). Let q = k + 25073/7. Calculate the common denominator of q and 27.
7
Let u(i) = -i**3 - 4*i**2 - 8*i - 15. Let p be u(-3). Find the common denominator of -39*(2/72*-10 + p) and 177/63 - 3/(-7).
42
What is the common denominator of 0 + -9 + 28164/1944 + -5 and -71/144?
1296
Suppose 5*h - 100 = m - 316, 5*h - 477 = -2*m. Calculate the smallest common multiple of m and 21.
231
Let u = 194 - 148. Suppose u + 10 = 7*y. Calculate the least common multiple of y and 9.
72
Let q = -35086 - -75871/2. Let y = q - 2749. Let r = y + -119. Calculate the common denominator of 71/22 and r.
22
Let b be 9 + (1/(-2)*2 - -1). Suppose -b*r + 4*r - 5 = 0. What is the common denominator of (-1 - -4) + r*69/(-10) and 68/3?
30
Let v(p) = 546*p**2 + 32*p - 3. What is the lowest common multiple of 10 and v(-2)?
21170
Let z = 132 - 97. Suppose -4*b = -33 - z. What is the least common multiple of b and 10?
170
Let j = 97 - 103. Let l be j/((-30)/33265)*(-1 - 0). Let b = l + 239533/36. What is the common denominator of -1/15 and b?
180
Suppose 356*i - 3498 = 357*i. What is the common denominator of (2/21)/(44/i) and (26/10)/((-3)/(-1))?
105
Let j = -344897/27 + 12776. Find the common denominator of j and (270/(-45))/((-3)/(-4)) - 570/(-99).
297
Suppose a + 5*l + 8463 = 0, 5*a - 4*l + 22928 = -19358. Let s = a - -186037/22. Calculate the common denominator of (110 - 9)*(-4)/(16*5) and s.
220
Let t = 171821/20300 + -953/116. Find the common denominator of t and 32/175.
350
Let a be (1 - 28/36) + (-4)/18. Suppose 3*m + 4*m - 1162 = a. Calculate the common denominator of (m/(-6))/((-28)/6 + 0) and -41/3.
42
Let r(j) = 22*j + 76 + 16*j - 57 - 75. Calculate the lowest common multiple of r(3) and 20.
580
Let b(i) = -387*i + 140. Calculate the least common multiple of b(0) and 36.
1260
Suppose 0 = 3*v + 3*k - 81, v + 3*k - 25 = 6. What is the common denominator of (v/60)/(33/78) and -17/9?
198
Let q(n) = -n**3 - 7*n**2 + 15*n - 37. Let i be q(-9). Let a(c) = -c**2 - 12*c - 17. Calculate the smallest common multiple of a(i) and 3.
3
Let w(v) = 7*v - 2. Calculate the lowest common multiple of (10/(-7))/(10*(-1)/700) and w(2).
300
Let g = -15423 + 23936495/1552. Let p = 6218190645017/7760 + -801313229. Let j = p + g. Find the common denominator of -11/122 and j.
1220
Suppose 796*s = 615*s + 27150. Calculate the smallest common multiple of 2430 and s.
12150
Let g = -375346 + 525484523/1400. Find the common denominator of g and 139/24.
4200
Suppose -4*a = -5*j - 37, -5 = -a - 20*j + 17*j. Calculate the lowest common multiple of a and 3637.
29096
Let t be ((-4)/(-10))/(2/(40/4)). Let s be -2 - 0*t/(-4). What is the common denominator of 342/120*s/(-3) and -1/4?
20
Suppose o + 3*q - 1035 = 0, -o - 4*q + 577 = -453. Suppose -o = -2*n + 7*n. What is the common denominator of (-813)/n + 6/30 and 29/9?
126
Suppose 0 = -1797*f + 1806*f - 27936. Calculate the lowest common multiple of f and 18.
27936
Let y be 654394/65 + (-2)/(-5). Let w = y + -100787/10. What is the common denominator of 29/51 and w?
510
Suppose -q = q - 8. Suppose 29*h - 60 = 9*h. Suppose 4*v - 7 = h*v. What is the lowest common multiple of v and q?
28
Let w be 21/12*-6*-2. Let l = w + -40. Let r = l - -31. What is the lowest common multiple of 30 and r?
60
Let l be (33964/(-448140))/((-3118)/90385). Let y = l + -1/151223. Find the common denominator of y and -173/30.
330
Let j(m) = -m**3 - 10*m**2 - 25*m - 42. What is the least common multiple of 1352 and j(-10)?
2704
Let b = -2132/3 - -712. What is the common denominator of b and ((-417)/(-2) - 0)*2/(-180)?
60
Let y = 17/3813 + 453067/152520. What is the common denominator of ((-51)/476)/(72/(-1708)) and y?
120
Let c(j) = -3*j - 20. Suppose 0 = 3*h + 27 - 3. Let v(g) = g**3 - 24*g**2 + 7*g - 86. What is the lowest common multiple of c(h) and v(24)?
164
What is the common denominator of 73/12 and (-1*47/63)/((-728)/(-336))?
1092
Suppose 3*w - 115 = -5*o, -3*w - 3*o - 29 = -4*w. Calculate the smallest common multiple of 114 - 35/(w/7) and 10.
10