82 = 88. Suppose 2*i - 3*i = 2*q - 30, -2*q + a = 3*i. What is the smallest common multiple of (1 - 5)/(3/(-15)) and q?
140
Let j = 611374/127 + -4814. Let a = 9410/381 + j. Calculate the common denominator of ((-148)/(-6))/2*1 and a.
3
Find the common denominator of -52 + (-1995)/(-45) - (1 - 1 - -1) and 16/7105.
21315
What is the common denominator of ((-2)/8*(-10)/20*606)/(-69) and -9/184?
184
Let g = 13478 + -13403. Calculate the smallest common multiple of 300 and g.
300
Suppose 3*d = 895 - 298. Suppose 4*o + 3*x = 2*x + d, 0 = -4*o - 5*x + 179. Suppose 10*h - 9*h - o = 0. What is the smallest common multiple of 30 and h?
510
Let g be 3 + (-32)/10 + 1382/(-10). Let k = 141 + g. Calculate the common denominator of k and 24/125.
125
Let x = 418 + -84. Let o = x + -301. Calculate the lowest common multiple of o and 12.
132
Let l = 160789/36 - 4467. Let s = 6854081 - 1144636120/167. Let x = s - -1/334. Calculate the common denominator of x and l.
36
Suppose 2*a - 64241 = 3*a + 2*q, 192693 = -3*a + 4*q. What is the common denominator of 1 - -5 - (a/330)/(-29) and 103/54?
594
Let f(g) = 2*g**3 - 6*g**2 - 46*g - 13. Calculate the least common multiple of 9 and f(8).
2331
Suppose 7*n + 7*j = 2*n + 358, -3*j = 5*n - 382. What is the lowest common multiple of 76 and n?
1520
Let g = 3460/31 + -83567/744. Calculate the common denominator of 6/(-7)*(3 + -1) and g.
168
Let g(u) = -u**3 + 81*u**2 - 384*u + 602. Suppose 0 = 4*m - 8, -3*x + 0*x + 32 = -5*m. Calculate the lowest common multiple of x and g(76).
2086
Let g = 4 - -4. Let j = -14 + g. What is the smallest common multiple of 4 and (-10)/j + 0 + (-4)/6?
4
Let f be (6268/(-24))/(112/6). Let g = 136/7 + f. Find the common denominator of g and 49/5*5/(-2).
16
Let c = 4/3963 - -305047/103038. Let d = -62641/9 + 6944. Let b = 145/18 - d. Calculate the common denominator of c and b.
78
Let j be 32/3*81/6. Let a = j + 6. Calculate the least common multiple of 10 and a.
150
Suppose 3*m + 993 = 2*p, 35*m = 31*m - 4*p - 1304. Calculate the common denominator of -1 + 82/20*2 and (-3)/(-6) + m/(-70).
5
Suppose -37 = -b - k + 32, -4*k = -3*b + 186. Let z = b - 99. Let r = z - -42. Calculate the smallest common multiple of r and 9.
9
Let p(m) = m**2 - 3*m - 3. Let a be p(4). Let z = -23 - -27. Calculate the least common multiple of z and (-3)/(a/((-110)/15)).
44
Let y = 394828 - 3557546/9. Let i = y + 285473/630. Find the common denominator of -85/14 and i.
70
Suppose -5*y = -6*t - 4938, -4*t + 164 + 2814 = 3*y. What is the least common multiple of 27 and y?
2970
Let y = 25762414/2635 - 9777. Find the common denominator of y and 3/2.
5270
Let l = 951157/2280 + -7948/19. What is the common denominator of l and 61/40?
120
Suppose 64 - 19 = 9*w. Suppose 0 = w*j - 4*p - 0*p - 12, -3*j = 5*p - 22. Suppose -4*n + 10 = n. What is the smallest common multiple of n and j?
4
Let i(l) = -5*l - 26. Suppose 0 = -8*k - 42 - 6. Calculate the smallest common multiple of i(k) and (-35)/(-25) - (-6)/(-15).
4
Let k = 18978077/270 - 70289. Find the common denominator of k and 13/135.
270
Suppose -8*j + 5*j + 21 = 0. Suppose 3*h + 3*h + 24 = 0. Let x(b) = -5*b - 10. Calculate the smallest common multiple of x(h) and j.
70
Suppose -118265 = 8*w - 15*w. What is the common denominator of -11/2 and 2/11 + w/(-53537)?
314
Let y = 9 - -19. What is the least common multiple of (-2 - (-64)/y) + 66/14 and 10?
10
Let q = 75533431/890 + -84869. What is the common denominator of q and -5/12?
5340
Let n(h) = -h + 22. Let b(a) = 2*a - 44. Let f(k) = 6*b(k) + 13*n(k). Let m be f(0). Find the common denominator of 22245/(-1980) + (-4)/m and -23/64.
192
What is the common denominator of 55/3261 and (40/100)/((-162)/(-225))?
9783
Let i(o) = -1123*o - 52757. Let b(u) = 17*u - 5. Calculate the least common multiple of b(5) and i(-47).
240
Let v = 2/19915 + -9459629/39830. Let x = 245 + v. What is the common denominator of 43/47 and x?
94
Let w(z) = 4*z**3 + 17*z**2 - z + 2. Calculate the least common multiple of 1474 and w(-4).
1474
Let a = -94 + 91. Find the common denominator of 38/(-27) + (a - (-63)/14) and 113/54.
54
Let g = -12/671 + 41027/5368. Let k = -5028913/182 - -27631. Find the common denominator of g and k.
728
Suppose 5*z + 5*l - 50 = 0, 17 = -7*z + 3*l + 137. Calculate the lowest common multiple of 540 and z.
540
Let v(m) = -m**2 - 2*m - 82. Let f be v(21). Let z = f - -599. What is the smallest common multiple of 85 and z?
170
Let z = -98 + 142. What is the least common multiple of -7*(z/(-28) + -1) and 15?
90
Let g(f) = 5*f**3 + 3*f + 2. Calculate the least common multiple of -40*(-1)/(25 - 23) and g(3).
1460
Let f(v) = 2*v**2 + 82*v + 837. What is the least common multiple of ((-18)/(-5))/((-8)/(-40)) and f(-18)?
18
Let x(o) be the second derivative of 7/3*o**3 + 0 + 13*o + 1/6*o**4 + o**2. What is the smallest common multiple of 46 and x(-7)?
46
Let l(z) = -z**3 - 10*z**2 - 24*z + 8. Let g be l(-6). Find the common denominator of g/(-84)*(-1257)/(-26) - -5 and 47/117.
819
Let x(a) = 4*a**2 - 68*a + 16. Let c be ((-2)/(-3))/(20/510). Calculate the least common multiple of 128 and x(c).
128
Suppose 3*p = 4*b + 661 + 1129, 0 = -4*p + b + 2404. Let c = p + -387. Calculate the least common multiple of 10 and c.
430
Let c be (-1)/(1 - 0)*1. Suppose -269 = -21*i + 193. What is the least common multiple of i and ((-22)/4)/(c/4)?
22
Let k = 1602 - 1606. Let o(m) = 5*m**2 + 5*m - 17. Let z(b) = b**2 - 1. Let a(n) = o(n) - 2*z(n). Calculate the smallest common multiple of 6 and a(k).
78
Let d = -44957/12 + 3753. Let s = -2607055/72 + 36210. Calculate the common denominator of d and s.
72
Suppose -16*q = -820 - 620. What is the common denominator of 71/138 and (-2)/(-4) - 5/(q/(-228))?
138
Suppose -8*x - 4*t = -4*x - 28, -3*t = 5*x - 25. What is the common denominator of (-4)/x + -2 + 3718/416 and 11/8?
16
Let x(p) = 2*p**3 - 8*p - 30. Let a be x(-5). Find the common denominator of 133/18 and (-60)/(-150) - 514/a.
72
Let l(y) = -10*y - 10. Let k be l(11). Calculate the common denominator of ((-2)/(-3))/(k/1044) and (-6)/(-20)*(-34 - 4).
5
Let s = 17 + -13. Find the common denominator of (339/27)/(4/(-9)*150/(-100)) and s.
6
Let b(z) = -3*z + 3. What is the least common multiple of b(-5) and ((-5)/5)/((-1)/27)?
54
Find the common denominator of 17/660 and 2/(54*33)*(1 + (-122)/8).
5940
Suppose 56964 = -3*v + 20*v - 5*v. What is the smallest common multiple of v and 8?
37976
Let d(k) = 68*k - 39. Let y be d(18). Suppose 0 = 3*g + y - 5730. What is the common denominator of -93/8 and g/180 + (3/(-2) - 0)?
24
Let c = 775 + -1214. Let t = c - -2202/5. Calculate the common denominator of 173/30 and t.
30
Let b(f) be the first derivative of -4*f**2 + 6*f - 85. What is the lowest common multiple of b(-9) and 33?
858
Calculate the smallest common multiple of 187*42/15 + 7/((-245)/(-14)) and 16.
2096
Let z(r) = -r**2 + r + 65. Suppose -15*g - 11205 = -122*g - 142*g. Calculate the smallest common multiple of z(0) and g.
585
Let x = 32 - -1. Suppose 6*l = 362 - 110. Let q(i) = -5*i + 222. What is the smallest common multiple of q(l) and x?
132
Let p(l) = l**2 - 8*l + 17. Let j be p(4). Find the common denominator of -65/24 and j/(1/((-5)/20)).
24
Let o(b) = 296*b + 820. Calculate the least common multiple of o(24) and 4.
7924
Let c be (-12)/((-65852)/65960 - -1). Let k = c - -7321. Let o = -15038 - -315859/21. Find the common denominator of k and o.
63
Let k(f) = -f**2 - f. Let h be k(-1). Suppose -3*v = 4*c + 51, h = 4*c - 7*c - 5*v - 41. What is the least common multiple of 6/(1/c*-3) and 8?
24
Let v(m) = 24*m**3 - 3*m**2 + 13*m - 11. Let s be v(8). Let u = s - 19580. Let o = 73829/10 + u. Find the common denominator of o and 47/17.
170
Suppose 6231 + 2257 = 2*r. Let a = -218091861/16 - -13634987. Let w = r - a. What is the common denominator of w and 27/20?
80
Suppose -3*g + 111 = -o, 3*g + 4*o = 49 + 47. Suppose -9 = -77*c + 76*c. Calculate the least common multiple of g and c.
36
Let b(f) = f**3 + 33. Let z be b(0). Suppose -z*d + 23*d = -480. Calculate the least common multiple of d and 7.
336
Let g(x) = -x**2 + 11*x + 207. Let n be g(0). Suppose w - 256 = -n. Calculate the smallest common multiple of w and 35.
245
Let r be 9*(-2 + 10/3). Calc