 0 = -j - 3. Calculate the lowest common multiple of 81 and i.
324
Let y(u) = u**2 - u + 1. Let n be y(-3). Suppose -5*v = -n*v + 144. Calculate the lowest common multiple of v and 20.
180
What is the smallest common multiple of 207 and (2 + 222)/7 - -1?
2277
Let a(k) be the first derivative of k**3/3 - 7*k**2/2 - 9*k + 11. Let s be a(10). Let f = -5 + s. What is the least common multiple of f and 8?
16
Suppose -19*j = -24*j + 15. Let l(m) = 29*m**3 - m**2 - m + 1. Let x be l(1). Suppose -j*z = -x - 5. Calculate the lowest common multiple of 8 and z.
88
Find the common denominator of 97/14 and (-2 + -5 + 13)*(-7)/268.
938
Suppose 4*h = 16, 7*n - 68 = 3*n - h. Calculate the lowest common multiple of n and 12.
48
Calculate the common denominator of ((-24)/(-3264))/((9/852)/(-1)) and -13/15.
510
Let h be (-5 + 13670)/(-2 + -344). Let k = h + -1/173. What is the common denominator of k and 3/(-6) + 29/32?
32
Let y(x) = 14*x - 27*x + 3*x**2 - 5 + 10*x. What is the lowest common multiple of 118 and y(-1)?
118
Let b = -3386023/82 + 41294. What is the common denominator of b and 31/18?
738
Suppose 7*v = -3*v - 780. Find the common denominator of -61/6 and (1 - 3) + 1 - v/(-20).
30
Let s(q) = -q - 1. Let a(i) be the third derivative of -i**4/12 + 7*i**3/6 + 5*i**2. Let f be a(7). Calculate the least common multiple of 4 and s(f).
12
Suppose -15 = 5*a - 3*q, 32 = 5*q + 7. Suppose a*c - 3*c + 9 = 0. Calculate the lowest common multiple of (-3)/(-9)*(-2 - -29) and c.
9
Let d be (9 - 8) + (-16)/2. Let f be 86/d - (-2)/7. What is the smallest common multiple of 22 and -4*-3*(-4)/f?
44
Let h = -6 + 0. Find the common denominator of (h/4)/((-66)/160) and 85/4.
44
Suppose 6*q = 2*q + 4, -3*g = 5*q - 575. Let m be (17 - 1)/((-20)/g). Find the common denominator of (-3)/(54/m) + -2 and -54/5.
45
Calculate the common denominator of (-199)/(-36) - ((-44)/(-16) - 2) and -18/113.
1017
Suppose -z - 2 + 4 = 0. Suppose 3*w - 10 = 4*v, -z*w + v - 6 = -21. Let g(u) = u + 10. Calculate the smallest common multiple of w and g(-8).
10
Suppose 2*m + 14 = -96. What is the lowest common multiple of 16 and (-198)/m*5/3?
48
Let s = 3 + -6. Find the common denominator of (-732)/(-8)*(-1 + (-56)/(-60)) and (-444)/27*s/8.
30
Let t(j) = -j + 58. Let o be t(0). Suppose 5*h - q + 6*q - 65 = 0, -2*q - o = -5*h. Calculate the smallest common multiple of ((-6)/(-5))/(7/35) and h.
12
Let u = 24232/105 - 3293/14. What is the common denominator of u and 19/4?
60
Let g = 2903 + -127645/44. What is the common denominator of -151/198 and g?
396
Let w = -20 + 55. Suppose -5*k - b - 4*b + w = 0, k + 3 = b. Calculate the lowest common multiple of 10 and k.
10
Let z(m) = -m - 3. Let q be z(-6). Suppose -3*n = p - 22, 2*p - q*n - 12 = -n. What is the least common multiple of 9 and p?
90
Suppose 6*u + 4 - 28 = 0. Calculate the lowest common multiple of 2 - ((-7)/(7/u) - -2) and 16.
16
Let o(f) = f**2 - 6*f + 14. Let s be o(6). Suppose -17*w + s*w = -60. Let h = -1 - -3. Calculate the smallest common multiple of w and h.
20
What is the smallest common multiple of 3 - (96/(-8) + 6) and 24?
72
Let i(d) = -4*d - 2. Let l be i(-3). Let m be ((-1)/3)/((-4)/84). What is the common denominator of (m/l)/((-20)/650) and -53/10?
20
What is the least common multiple of (6 + -8)*111*-1 and 1?
222
Let p = -61/7 + 117/14. Let d = 23/14 + p. What is the common denominator of 103/6 and d?
42
Suppose -5*c + 25 = -5*f, -5*c - 5*f + 1 = -4*f. What is the smallest common multiple of c and 10?
10
Suppose -4*i + 2*i = 2*n - 102, -259 = -5*i - n. Suppose 2*z + i = 6*z. Calculate the least common multiple of 5 and z.
65
Suppose 4*r + a = 4*a + 108, -5*r - 5*a = -100. Let q be (-6)/r - 6115/(-24492). Let i = 459229/12246 + q. Find the common denominator of 61/8 and i.
8
Let g = -31 - -77. Let t be 4/14 - (-10)/(-105). Let x = -347/168 + t. Find the common denominator of x and g.
8
Calculate the least common multiple of 8 and (2 + (-70)/25)*95*-2.
152
Let g = 0 + -9. Let d(s) = -s**3 - 9*s**2 - 3*s - 21. Calculate the least common multiple of 9 and d(g).
18
Suppose 7*c - 40 + 19 = 0. Suppose 4*w - 3*i - 59 = 0, -c*w = w - i - 57. Calculate the smallest common multiple of w and 20.
140
Let f = -5962/9 + 662. Find the common denominator of f and 1/105.
315
Suppose 2 = -n, -3*g + 320 = -30*n + 35*n. Calculate the lowest common multiple of g and 99.
990
Let d = 22 - 23. Let u(l) = 7*l**2. What is the lowest common multiple of 35 and u(d)?
35
Suppose 0 = 23*g - 32*g + 108. Calculate the lowest common multiple of g and 12.
12
Let o = 934/39 - 502/13. Let g = 4222/3 + -1383. Find the common denominator of o and g.
3
Let t = -2684219/80 - -33552. Calculate the common denominator of t and (-975)/70 + 12 + -2.
560
Suppose -5*o + 21 = -2*p, 0 = 2*o - p + 3*p. Suppose 8*j + 4*v + 5 = o*j, -4*j = 4*v. Calculate the least common multiple of 12 and 1/((j/(-2))/5).
12
Let m = 97/1671041 + -992636792405/76867886. Let i = -12913 - m. What is the common denominator of i and 85/4?
92
Let y(p) = 2*p**3 - 3*p**2 + 3*p - 2. Calculate the lowest common multiple of 18 + 16/(-1)*72/(-144) and y(3).
442
Suppose 3*c = -2*u + 31, -2*c - c = -3. Let x be 1/22*4 + (-152)/(-11). Calculate the smallest common multiple of u and (-196)/(-10) - x/(-35).
140
Let y = -185/9 - -964/45. What is the common denominator of y and -95/12?
60
Let a = -6395224/141 - -45356. What is the common denominator of -41/3 and a?
141
Suppose 1815 = 52*o - 41*o. What is the least common multiple of 105 and o?
1155
Let p(f) = -31*f - 230. What is the least common multiple of p(-8) and 162?
162
Suppose -62*m - 13*m - 1451 = 499. Let c = -5997/10 + 593. Calculate the common denominator of m and c.
10
Let t(f) = 275*f - 8. Let u be t(10). Let j = u + -16501/6. Let a = 1846 - 12969/7. Find the common denominator of a and j.
42
Let f = 545549/33 + -16533. Calculate the common denominator of f and (4/(-5))/((-378)/70).
297
Suppose -2*j = b - 8, -5 = 5*j - b - 32. Suppose 15 = -3*u - 3*d - 15, j*u = -4*d - 47. Find the common denominator of (-2)/56 - 2/u and -59/5.
20
Let p be (-2)/4 - 2150/304. Let u = p + 56/19. Calculate the common denominator of u and 6/14 - (-45)/(-4620)*-194.
88
Suppose p - 141 = -5*m, 4*m = -0*p + 3*p + 109. Let n = 2/59 - 3619/590. Find the common denominator of (0 + -3 + 14/m)/4 and n.
40
Suppose -z + 0 = v - 70, 3*v = 3*z - 222. What is the least common multiple of z and 99?
792
Let g be (2/((-32)/866826))/((-15)/(-4)). Let v be 4/10 - 144586/(-10). Let k = v + g. What is the common denominator of k and 1/6?
30
Suppose o + 14 = -4*g - o, -o = -3*g - 18. Let h = g - -91/18. What is the common denominator of 31/2 and h?
18
What is the common denominator of -43/12 and ((-304)/(-54) - 8) + -1 + 5?
108
Calculate the smallest common multiple of 21 and 1 + 766/2 - (15 - 18).
2709
Let t = -4078/3 - -1378. Let x = 998/7 - 143. What is the common denominator of t and x?
21
Let i be (-4 + 2)*1*-7. Calculate the common denominator of -32 and (-23)/(-10) + (17 - i).
10
Suppose -2*g + 44 = 2*v, 5*v - 9 = -3*g + 93. Suppose 5*m = 295 - 165. Calculate the lowest common multiple of m and v.
234
Let j = 91961/20 - 4597. Let g = 944/19 - 3505/152. Let d = 959/40 - g. Find the common denominator of j and d.
20
Find the common denominator of 8 - 46343/5775 - (-2 - -2) and -1/84.
2100
Suppose -275 + 20 - 45 = -15*v. Let u(h) = h**3 - 2*h + 1. What is the smallest common multiple of v and u(3)?
220
Let w = -1907 - -1915. Let x(b) = 3*b + 3. Let n(q) = 1. Let j(f) = 4*n(f) - x(f). Calculate the lowest common multiple of j(-3) and w.
40
Suppose 4*s - s + 257 = -5*t, 4*t - 8 = 0. Let b(c) = -c**3 + 12*c**2 + 47*c - 32. Let q be b(15). Find the common denominator of 11/20 and 2 + q/(-40)*s.
20
Suppose -73 + 203 = 2*b. What is the smallest common multiple of b and 20?
260
What is the lowest common multiple of (-70)/(-56) + 3/4 + 0 and 1/(2/5)*8?
20
Let p = 5932 - 753370/127. Let r = -2637/635 + p. What is the common denominator of -40 and r?
5
Suppose 27*c - 46 = 170. Calculate the smallest common multiple of 7 and c.
56
Let x = 75 - 53. Let i(y) = 12*y - 10. Calculate the lowest common multiple of x and i(4).
418
Let t = 2712 + -40646/15. Find the common denominator of t and 91/24.
120