 p(15). Suppose 0 = -4*v + c + 45. Calculate the smallest common multiple of v and 20.
180
What is the smallest common multiple of (-6*(-121)/(-99))/(4/(-6)) and 191?
2101
Let v be -16 - -16 - (30 - 0). Calculate the common denominator of 18 and (-2)/v*(-25)/15.
9
Suppose 0 = -4*j + k + 3*k + 172, -7*j + 306 = -2*k. Calculate the least common multiple of (-16)/(1*(0 - 1)) and j.
176
Let s = -3 + -1. Find the common denominator of (-81)/264*s/3 and -4 + (-78)/(-21) + (-709)/(-154).
22
Let q(g) = -3*g - 8. Let a be q(-5). Let y be (1 + 0)/((-1)/a). What is the common denominator of (249/12)/(21/y) and -61/20?
60
Let c = 5788/3 - 1924. What is the common denominator of c and 3 - (2 + 102/(-80))?
120
Let f be (-12)/(-90) + 152/(-15). Let z = 983/4 - 12999/52. What is the common denominator of z and (-28)/f + -10 + 8?
65
Let x = 4 + 2. Let i(m) be the first derivative of -m**4/4 + 5*m**3/3 - 5*m**2/2 + 3*m + 8. Calculate the lowest common multiple of i(3) and x.
6
Suppose 3*f - 87 = -3*t, -f + 17 = -13*t + 10*t. Calculate the least common multiple of f and 7.
182
Suppose 0 = -4*r + 19 + 21. Let p(s) = -s**3 - 3*s**2 + 17*s + 3. What is the least common multiple of r and p(-6)?
90
Let h = 3/161 + 13679/322. Find the common denominator of 3*(-7)/((-448)/(-72)) and h.
8
Let p = 13301/30 + -1321/3. Find the common denominator of -51/50 and p.
150
Let p(u) = u**2 - 8*u - 4. Let a be p(8). Let o = a - -13. Let n = 11 - o. Calculate the least common multiple of n and 9.
18
Let c be 4/10 - 26967/67380. Let u = c - 25819/44920. Calculate the common denominator of u and -11/7.
280
Let l(y) be the second derivative of 3*y**4/4 - y**3/6 + 28*y. Let z be -3 - 2*(-1 + 0). Calculate the least common multiple of 22 and l(z).
110
Let f = 1595/72 - 142/9. Find the common denominator of ((-31)/5)/(16/10) and f.
8
Let k = 26 + -14. What is the smallest common multiple of (-100)/450 - 34/9*-8 and k?
60
Let h be (-4)/1 + 4 + 2496/(-146). Let i = h - -61173/3796. What is the common denominator of -91/6 and i?
156
Let t = 1336 + -684. What is the common denominator of 59/12 and t/(-104)*-1 + -4?
156
Suppose 4*y = 4, 4*i - 79 = -0*y + y. Calculate the lowest common multiple of 6 and i.
60
Suppose -6*x + 14051 + 3271 = 0. Suppose -q = 5778 + x. Let p = q - -242693/28. Find the common denominator of p and 145/6.
84
Calculate the common denominator of -5/12 and ((-10)/5705)/(48/(-1652)).
1956
Let p(t) = -12*t + 50. Let y be p(7). Find the common denominator of (-2 - y/18)*-59 and -49/27.
27
Let l = -430863788157/1448 - -297557879. Let b = l - 1/1448. Calculate the common denominator of 25/2 and b.
4
Let q(a) = a**2 - 16*a - 34. Let v be q(18). Suppose -2*c + 62 = g, -v*g - 3 = -4*c + 137. What is the least common multiple of 27 and c?
297
Let g = -20 - -30. Let p = 9 - 19. Let y = p + 17. Calculate the least common multiple of g and y.
70
Let u(f) = -2*f**3 + 16*f**2 - 17*f - 12. Calculate the smallest common multiple of 152 and u(4).
912
Let y = 82071/10 + -8219. Find the common denominator of (132/(-42) - -3)/(8/236) and y.
70
Suppose -5*x + 17584 = -3361. Let h = x - 58685/14. Find the common denominator of 41/11 and h.
154
Let n = -90 + 118. What is the lowest common multiple of 28 and n?
28
Let k(i) = i**3 + 2*i**2 - 3*i + 4. Let y be k(-3). Let l = 8 - y. Suppose 0 = -2*p, -5*p = j + l - 22. Calculate the lowest common multiple of 8 and j.
72
Let j(p) = -2*p**3 - 3*p - 15. Calculate the smallest common multiple of 44 and j(-3).
528
Let q be (-2)/(-4 + 2)*-1. Let d(f) = -37*f + 4. What is the lowest common multiple of (q/(-2))/((-1)/(-44)) and d(0)?
44
Suppose -3*c + 103 = 5*f - f, 128 = 5*f + 4*c. Let g(p) = -p**3 + 9*p**2 - 14*p - 4. What is the least common multiple of g(6) and f?
140
Let m = 6641923231/2299966620 - -10/3108063. Let s = m - -49/74. Calculate the common denominator of s and 1 - 0 - 488/176.
220
Let c = 98133/10 - 9802. What is the common denominator of (282/564)/((-5)/74) and c?
10
Let f(t) be the second derivative of t**5/20 - t**4/12 - t**3/6 + 3*t**2 - t. Let d = -13 - -13. Calculate the lowest common multiple of 8 and f(d).
24
Let w(u) = -u + 9. Let i be w(8). Let t = i - 2. Let a = 2 + t. Calculate the smallest common multiple of a and 10.
10
Suppose 4 = -4*h + 2*q - 2, 4*q + 20 = 0. Calculate the lowest common multiple of 11 and 10/(-5) - -4 - h.
66
Suppose -2*c + t = -3*t - 10, -t - 2 = 0. Let k be ((-3)/1)/(c/7). What is the common denominator of (k/(-28))/(2/9) and -51/16?
16
What is the least common multiple of 11 and ((-84)/(-35))/(37/35 - 1)?
462
Let j = -3546 - -31990/9. What is the common denominator of 169/30 and j?
90
Let w = 4517/22 + -205. Calculate the common denominator of 37/7 and w.
154
Suppose -91 = -11*l + 503. Suppose -2*i + t + 4*t + 22 = 0, -l = -2*i - 3*t. Calculate the least common multiple of 3 and i.
21
Let n be -2*(0 + -187 + 2). Find the common denominator of 2 + (n/(-48))/5 and -61/20.
120
Let r = -2120 + 2216. Calculate the smallest common multiple of 6 and r.
96
Let g be 382*(-2)/(-16)*1. Let r = 54 - g. Calculate the common denominator of 2 + 13*28/(-40) and r.
20
Let t(b) = -7*b**3 - 5*b**2 + b - 6. Let h be t(-8). Let y be (-52134)/16 + 8/16. Let z = h + y. Calculate the common denominator of 125/24 and z.
24
Let o be 160/48*(0 - -3). Suppose 5*q = o*q + 20. Calculate the common denominator of 21/10 and q.
10
Let u(v) = -v**3 + 12*v**2 + 3*v + 11. Calculate the least common multiple of u(12) and (-2)/(5/10*-1).
188
Let z(g) = -1998*g + 5. Let c be z(-11). Suppose 2*n - 3971 + c = 0. Let s = -53911/6 - n. Find the common denominator of -139/6 and s.
6
Suppose 11*h - h + 90 = 0. Suppose q = 2*r - 14, -q - 19 + 7 = -r. Let w = h - q. Calculate the least common multiple of 5 and w.
5
Let v be (-40)/(-12) + (-2)/6. Let q be -3*v/(-9)*8. Let b(k) = -k**3 + 8*k**2 + 7. Calculate the smallest common multiple of b(q) and 29.
203
Suppose 5*b = -2*h + 30, -4*b = 3*h - 3*b - 45. Suppose -h = -4*u + 1. Suppose 32 = 5*x + 3*x. What is the least common multiple of x and u?
4
Let f = -334/975 + 569/54600. Calculate the common denominator of f and -111/56.
280
Let k = 28 - 28. Suppose k = -4*x - 4*g + 4, 2*x + 0*g = 2*g + 10. Suppose -3*d = -4*d + 2. Calculate the lowest common multiple of x and d.
6
Suppose -5*z = -8*z + 12. What is the least common multiple of z and 3/(-9) - 67/(-3)?
44
Let n(g) = g - 2. Let y be n(9). Suppose -48 = 10*w - y*w. Let o = 17 + w. Calculate the lowest common multiple of 8 and o.
8
Let u = 4634 + -125101/27. Find the common denominator of u and 8/33.
297
Let q = 141 + -135. What is the lowest common multiple of q and 8?
24
Let t(a) = 2 - 5 + 0 - 6*a + 4. Let s be t(-3). Suppose 7*g = s + 2. What is the least common multiple of g and 3?
3
Suppose -s + 3 = -2. Let w be (2203/(-2))/(20/s). Let x = 278 + w. Find the common denominator of 23/10 and x.
40
Let g = -1097/63 + 118/7. Let f = -2182/3 + 749. What is the common denominator of g and f?
9
Calculate the common denominator of 48/143 and 22/2145*(-2)/4.
2145
Let d = -456 + 461. What is the smallest common multiple of 14 - (-2 + 3)/(-1) and d?
15
Suppose -4*a = -9*a + 100. Suppose -11*g + a = -6*g. Calculate the smallest common multiple of 11 and g.
44
Let t(z) = -5*z**2 - 33*z - 6. Suppose 0 = -8*u - 41 - 7. Calculate the least common multiple of 8 and t(u).
24
Let c = -31 + 28. What is the common denominator of (-159)/6*(-3)/6 and c/((2 + 1 + -2)*1)?
4
Let p(j) = -j**3 - j**2 - j + 16. Suppose 0 = -o - 4*o. Let u be p(o). Suppose t - 3 = u. What is the lowest common multiple of 6 and t?
114
Let l(g) = g**2 - 5*g + 8. Suppose 15 = 2*v + i, -3*i - 7 = -3*v + 11. Calculate the least common multiple of 1 - (-4)/(4/13) and l(v).
154
Let v = -55091/3720 + 897/62. Calculate the common denominator of v and -46/35.
840
Suppose -8*a - 4*x - 76 = -12*a, 2*a - 35 = x. Let b(y) = -y**3 + 6*y**2 - 5*y + 5. What is the lowest common multiple of a and b(5)?
80
Calculate the lowest common multiple of ((-10)/(-15) + (-8)/(-24))*1 and 19.
19
Suppose 4*x = 12*x - 48. Find the common denominator of 2895/702 + x/39 and 79/14.
126
Let i(k) = 2*k - 10. Suppose -5*s + p + 42 = 0, -4*s + 4 = -5*p - 17. Let c = 16 - s. What is the smallest common multiple of i(c) and 4?
