2/(-21))/((-8)/r)?
28
Let p = -79 - -67. What is the common denominator of -143/12 and (p - -3)/(147/(-35))?
84
Let t(z) = z**3 - 5*z**2 - z - 3. Let y be t(6). What is the common denominator of ((255/27)/(-17))/(16/78) and (103/y)/(4/(-6))?
72
Let b(i) = 346*i**2 - 8*i - 16. Calculate the least common multiple of 130 and b(-1).
1690
Find the common denominator of -109/160 and (-9 - (-156)/18)/(4/124).
480
Suppose 1138 = -7*l + 8*l. Let h = l - 27301/24. Calculate the common denominator of h and 81/32.
96
Suppose 342*a - 677 = 24973. Calculate the smallest common multiple of a and 90.
450
Let n(d) = 122*d + 1. Let s be n(1). Suppose 0 = -5*q + 3*y + s, 23 - 7 = 4*y. Calculate the smallest common multiple of q and (-4)/3 - 1273/(-57).
189
Find the common denominator of 67/6 and (928/2790)/1 + (-18 - (-264)/15).
2790
Suppose -142 + 10 = -2*x. Suppose 32*g - 864 = 16*g. What is the lowest common multiple of x and g?
594
Let j = 176 + -173. Suppose j*u = 2*k - 35, -14 = -5*k - 5*u + 11. Suppose p - 3*d - 2 = 5, -5*d = 4*p - 45. Calculate the smallest common multiple of k and p.
10
Suppose 6*g - 3*g - 9 = -2*i, 3*g = 5*i + 9. Let x be (0 - (-5)/3)/(1/g). Suppose -2 + 12 = x*n, v = -n + 4. What is the least common multiple of 6 and v?
6
Let w = -3338/67 + 4531/2010. Let a = -202/5 - w. Let n = -20513 - -861389/42. Find the common denominator of a and n.
42
Suppose 5*q - 45 = -40. Calculate the common denominator of 130/(-28)*q/(-12)*-4 and 109/12.
84
Let i(q) be the first derivative of -q**2/2 + 8*q - 156. What is the smallest common multiple of 152 and i(-8)?
304
Suppose q + 76*b = 81*b + 290, 4*b - 8 = 0. What is the least common multiple of q and 234?
11700
Suppose -70 + 30 = 10*w. Find the common denominator of 43/4 and w/6 - (-2 + 7986/5724).
1908
Let j(u) = -2*u + 12. Let k(n) = -6*n. Let g be k(1). Let t be j(g). Let f = t - 6. What is the lowest common multiple of 4 and f?
36
Let f = 1226528 + -19624443/16. Let h = 51392173/276 + -186203. What is the common denominator of f and h?
1104
Let j(u) = -u**2 - 12*u + 1. Let q(c) = -3*c**2 + 95*c + 47. What is the least common multiple of j(-10) and q(32)?
105
Let r = 5527350 - 40310963489/7293. Calculate the common denominator of r and 7/3.
7293
Suppose 5*r = 20, 7*r - 2*r + 28 = 4*i. Let w(q) = 3*q**2 + 2*q + 3. Let k be w(5). Suppose -3*o + 32 = -k. What is the smallest common multiple of i and o?
120
Let f = -505351031/1208 - -418337. What is the common denominator of -14/1661 and f?
13288
Suppose -236*a + 237*a - 112 = -8. What is the lowest common multiple of 1716 and a?
3432
Let o = 1054315/163602 - -1/18178. Calculate the common denominator of o and 1 + ((-115)/24 - 1).
72
Let o = -1234937/70 + 17641. Calculate the common denominator of 89/140 and o.
140
Let c(b) = b**3 - 10*b**2 - 20*b - 24. Let w be (-8 - -5) + (-45)/(-3). What is the least common multiple of 15 and c(w)?
120
Suppose -5*z + 826384 = 4*o, -z - o + 165277 = -0*z. Let p = -76026913/460 + z. Calculate the common denominator of p and -67/22.
5060
Calculate the common denominator of 32/195 and (73/90)/(23/(-69)).
390
Suppose -5*w + 3*t = 2*t - 28, -4*t = -2*w + 4. Calculate the common denominator of (-984)/72 + (-1)/w and 172/(-2)*3/(-120).
60
Suppose -186 = -5*a - 18*h, -80*a + 76*a + h + 118 = 0. What is the least common multiple of 462 and a?
2310
Let v be -2 - 6/(0 + -1). Suppose v*n + 11 - 43 = 0. Calculate the smallest common multiple of n and 4 - ((-9)/((-36)/(-52)) + (2 - -5)).
40
Suppose -3*d - 54 = -6*d. Let y = -8828 - -8954. Calculate the smallest common multiple of d and y.
126
Let f = -133 + 195. Suppose -d - 5 = 0, -f = -m + 5*d - 9. What is the smallest common multiple of 30 and (3/(6/(-8)))/((-7)/m)?
240
Calculate the common denominator of -6/77 and (-117230)/11690 + (-14 - -24).
12859
Let f be (627 - 11/((-11)/(-2))) + -1. Let m = f + -516. What is the least common multiple of m and 12?
108
Let v(t) = -t**3 - 7*t**2 - 7*t - 9. Let f be v(-6). Let d = -355 + 365. What is the lowest common multiple of -2 + -1 + (-24)/f and d?
10
Suppose 20*q - 338 = 22*q. Let f = 213 + q. Calculate the smallest common multiple of f and 68.
748
Find the common denominator of -53/16 and 6 + (-7 - 1) - (-3123)/1568.
1568
Suppose 0 = 178*h - 192*h + 84. What is the least common multiple of 46 and h?
138
What is the lowest common multiple of 2291 and (-17)/(-7) + ((-666)/(-63) - 11)?
4582
Let u(f) = 12*f + 190. Let t(h) be the second derivative of -h**4/12 + 5*h**3/6 + 4*h**2 + 2*h. What is the lowest common multiple of u(-15) and t(5)?
40
Let j = 120052/43 - 2791. Calculate the common denominator of 50/29 and j.
1247
Let u be (2868/(-8))/3 - -4. Let i = u + 901/8. Calculate the common denominator of i and 2 + 4/((-96)/(-219)).
8
Let s = -1012 - -586. Let w = -59507/9 - -6619. Calculate the common denominator of s/48 - 0/5 and w.
72
Suppose -20*y + 30*y = 40. Calculate the common denominator of -23/50 and y/32*(-172)/(-10).
100
Let d = -1012803/2166140 - -4/23545. Find the common denominator of -87/188 and d.
4324
What is the least common multiple of 1640 and -1 - (561*-4 + -1 + -11)?
18040
Let s(n) = -106*n + 1290. What is the smallest common multiple of 9 - (-6 - (-3 + 0)) and s(12)?
36
Let v = -5/53 + -572/4611. Find the common denominator of v and 17464/3186*(-1)/2.
783
Suppose -10*u - 4*u = -1778. Find the common denominator of u/(-36) - (42 + 2)/(-11) and 19/24.
72
Let a(c) = 15*c - 232. Let s be a(15). What is the smallest common multiple of (-2 - s)*(1 + 1) and 4?
20
Let v = 98 - 96. Let k be (14/(-4))/(v/44) - -1. Let y = k - -86. Calculate the lowest common multiple of 4 and y.
20
Let b(y) = 21*y - 370. Let m be b(8). What is the common denominator of 24 - 12 - 8 - m/24 and 93/4?
12
Suppose -4*p + 5*p + 6 = 0. Let r be -16 + ((-6)/7)/(p/28). Let l(b) = -6*b - 52. What is the lowest common multiple of 22 and l(r)?
220
Let y(s) be the third derivative of -16*s**2 + 0*s + 5/24*s**4 + 1/60*s**5 + 0 - 4/3*s**3. Calculate the smallest common multiple of 56 and y(-7).
168
Suppose -j + 2*m + 9 = -123, 3*j - 2*m = 392. Calculate the lowest common multiple of j and 65.
130
Let y = -236 - -2490. Suppose 5*g = -12481 - y. Let m = g + 44186/15. Calculate the common denominator of m and 35/6.
30
Let o = -17254 - -17284. Calculate the smallest common multiple of (-1)/(-2*(-2)/(-180)) and o.
90
Suppose t + 0 = 2*o + 4, -5*o - 3*t - 10 = 0. Let l be o/6 + 74/6. What is the least common multiple of (1*l/(-8))/(1/(-2)) and 14?
42
Let n be -1*4 + 47294/370. Let c = n + -97/37. Let w = -2407/20 + c. Calculate the common denominator of -39/22 and w.
220
Suppose 150 + 36 = 2*f + 4*t, 480 = 5*f + 5*t. Suppose 3*y - 156 = 3*z + f, -65 = -y + 5*z. What is the smallest common multiple of y and 18?
90
Calculate the least common multiple of 462/(-5)*(-180)/18 and 24.
1848
Let s = 131 - 138. What is the common denominator of ((-3710)/72)/s - (-8)/32 and (-6)/(-15) - (-1)/(-15)?
18
Let b = -508399/34 + 14955. Let r = 1714 + -1741. Find the common denominator of b and r.
34
Suppose 109*f = 42*f + 2814. Calculate the smallest common multiple of f and 182.
546
Let y(o) = -2*o**2 + 14*o - 10. Calculate the least common multiple of 3008 and y(2).
15040
Let r = -23950 - -27775. Calculate the smallest common multiple of r and 34.
7650
Find the common denominator of -143/648 and (-56)/(-432) - (9 - 9).
648
Let l(o) = -2*o**2 - o - 1. Let p be l(-1). Let d(y) = -2*y**3 - y**2 + y + 2. Suppose 5*r = 26 + 24. Calculate the lowest common multiple of d(p) and r.
60
Let d(p) = 8*p. Let h be d(5). Let f = 1030419/70 - 14721. Find the common denominator of f and (-3 - 0) + (-284)/h.
70
Let j be 10/22*-139*-3 - 5. Let q = j - 61043/330. Calculate the common denominator of 35/8 and q.
120
Suppose 6*a = -60 - 66. Find the common denominator of a/(-2)*(-108)/(-360) and -23/208.
1040
Let n = -284212317828/5 + 13195977916479703/232150. Let m = -8/4643 - n. Find the common denominator of m and 47/100.
100
Suppose q + 3 = -0, 2*s - 17 = q. Suppose -2*a = v + 1, -v - a = 3*a + s. Let u(x) = -11*x + 7. What is the common denominator of u(v) and 74/3?
3
What is the smallest common multiple of 47329/235 + 30/25*2/4 and 1414?
1414
Let s = -10 + 16. Let n(h) = h**3 + 28*h**2 - 2