
66
Suppose 8*r + 17*x - 22*x = 2458, -5*x - 316 = -r. Calculate the smallest common multiple of r and 136.
1224
Calculate the common denominator of -31/18 and ((-17822)/4536)/67*-1.
324
Let x = -1 + 37. Calculate the smallest common multiple of x and ((-4)/10)/(88/(-3300)).
180
Let o be (-27)/(-1 - 8)*163. Suppose -o = -41*h + 413. What is the lowest common multiple of 320 and h?
3520
What is the common denominator of 19/340 and ((-3441)/(-111))/((679*1)/1 - -1)?
680
Let q = 42 - 56. Let a be 2 - 1671450/(-672) - 4/q. Let m = 2488 - a. What is the common denominator of m and -55/8?
16
Let x be (1066/(-78))/(-1 + -152 + -1). Let f = x - 5/42. What is the common denominator of f and 38/33?
33
Let p = 9 - 6. Let k(q) = q**3 - 3*q**2 + 6*q - 17. Let z be k(p). What is the common denominator of -77/92 and (-1)/2 - (z - 22/(-6))?
276
Let l be 10/15*40835/(-60). Let w be 2/(4083/(-1359) + 3). Let r = w - l. What is the common denominator of r and 11/2?
18
Let t = -94 + 53. What is the common denominator of 1 + 5 + -6 - t/9 and (-2 + 8/6)/(192/3492)?
72
Find the common denominator of (-4)/14*(-1 + 4 - 3753/1224) and -75/154.
5236
Let p(n) be the third derivative of -n**5/60 - n**4 - 19*n**3/6 - 37*n**2. Calculate the smallest common multiple of 41 and p(-23).
164
Let s(v) = 88*v**3 - 2*v**2 - 17*v - 2. What is the lowest common multiple of s(2) and 330?
660
Let b = 1842 + -1562. What is the smallest common multiple of 77 and b?
3080
Let s be (-1)/(-18)*(9740/(-32) + -2). Let a = s - -95/6. What is the common denominator of -89/8 and a?
16
Let n(x) = -7*x + 5*x + 3*x + 58. Calculate the smallest common multiple of 99 and n(-31).
297
Suppose 0*l + 4*o = 4*l - 32, 20 = -4*o. Suppose l*f + 4*z = 10, 4*f - 4*z = 7 - 31. Calculate the common denominator of (-1 + f)*29/42 and -83/14.
14
Let t = 121185 + -19631851/162. What is the common denominator of 151/2520 and t?
22680
Let w = -71051 + 5541865/78. What is the common denominator of w and -5/143?
858
Calculate the lowest common multiple of 180 and -5*(-12 + 7)*8.
1800
Suppose -5*w + 778 = 4*x, -2*x - 3*w + 7*w + 376 = 0. Suppose -30*o = -x - 138. What is the lowest common multiple of o and 77?
77
Let l = -3396/79 - 1028354/869. Let w be (2 - 3)*(1 + 1227). Let u = l - w. Calculate the common denominator of u and 79/15.
165
Let b(a) = a**3 - 7*a**2 - 10*a + 15. Let l be b(8). Let d be 423/54 + l/(-6) - 0. What is the least common multiple of 25 and ((-69)/(-36) - 2)*-9*d?
150
Let n be (-853)/(-3157) - (-4)/(-14). Let o = n + -41887/3608. Let x = -13520/19 - -175418/247. Find the common denominator of o and x.
104
Suppose 3*j + 96 = n - 2*j, 5*j = -5*n + 390. Find the common denominator of (-284)/(-12)*(-3)/n and -1/9.
81
Suppose -2*x = -4*x + 12. Suppose 1 = -5*g + x. Suppose 146 = 5*w + 2*f, 4*w - 64 - 51 = -f. Calculate the lowest common multiple of w and g.
28
Let y = 1860 - 9304/5. Find the common denominator of y and 3 - (-62)/(-72)*-1.
180
Let f = 91/73 + -6161/2190. Let n be 1/((-174)/(-12))*102/(-10). Let q = 19961/2610 + n. What is the common denominator of q and f?
90
Let j = -523051/14330 - -3/7165. Let a be ((-430)/114)/((-3)/(-2817)). Let m = 3544 + a. Calculate the common denominator of m and j.
38
Suppose -1639 = 9*c - 43003. Let s = c + -55069/12. Calculate the common denominator of -77/20 and s.
60
Let m be (-1)/(1/((-42)/6)). Suppose 0 = 4*f + 2*l - 42, -12 = -2*f + m*l - 11*l. Calculate the lowest common multiple of f and 28.
84
What is the common denominator of (1*2)/(11640/35793) and 53/305?
1220
Suppose -48 = 14*d + 36. Let u be (-29)/(1 - (-3)/d). Let c = u - -76. What is the smallest common multiple of 56 and c?
504
Let c(j) = 9*j + 119. Let q be c(-16). Calculate the common denominator of (-438)/9 + q/30 and (-1)/4 + (-217)/(-44).
22
Let a = 2973/56 + -334/7. What is the common denominator of a and -103/28766?
115064
Let d be 86911/(-1848) + (-3)/7. Let o = d + 169/3. Let y = -561/28 - -61/4. Calculate the common denominator of y and o.
56
Let g = 75300231/5434 + -152432/11. Calculate the common denominator of g and -69/2470.
2470
Let b = 2370/23 - 255155/2484. What is the common denominator of b and -119/100?
2700
Suppose -5*x = 4*x - 1620. Let k be x/(11/13 + 0 + -1). Let u = k - -24578/21. Find the common denominator of 77/24 and u.
168
Suppose 3*n - 4*m - 8 = 2*n, 5*n + 2*m + 4 = 0. Suppose 5*j + 4*f - 3224 = 0, 3*j - 5*f = -n*j + 1964. What is the lowest common multiple of j and 6?
648
Find the common denominator of 25194/1235 - (-21)/(-1) and (-87)/480 - (0 + 0).
160
Let z = 30545 + -1343879/44. What is the common denominator of z and 3/1 - 387/(-324)?
396
Let b = 53 - -41. Suppose -7*p + b = -81. Calculate the smallest common multiple of 120/p*(-10)/(-4) and 8.
24
Let l be (-5 - -1) + (-1730)/10. Let a = 387 + l. Suppose a = -0*k + 10*k. What is the lowest common multiple of k and 27?
189
Suppose -f - 562 + 473 = -3*g, 4*f - g = -334. Suppose -3*x + 309 = 2*l, -2*l - 2*l + 198 = 2*x. Let h = x + f. Calculate the least common multiple of h and 22.
22
Let w(g) = -g**3 + 4*g**2 + 12*g - 16. Let r be w(4). What is the common denominator of (-1 - (-33)/30)*-107 and r/12*56/24?
90
Let p = 57515/54 - 2133/2. What is the common denominator of ((-4)/3 - 0) + (-11 - (-15616)/915) and p?
135
Let s(v) = 18*v + 1516. What is the least common multiple of 112 and s(-70)?
1792
Let h = 495 - 165. Let t = h - 314. What is the least common multiple of 32 and t?
32
Let s be (168/(-30))/(2/(-20)*-1). Let a = 63 + s. Suppose 0 = -4*d + 4*u - a*u + 66, u = -d + 16. What is the lowest common multiple of d and 2?
18
Suppose 4*d = -5*z + 25, 64*d = -z + 66*d - 9. What is the smallest common multiple of z and 111?
111
Let k = -7181 - -7191. Calculate the lowest common multiple of k and 231.
2310
Let x = -29755/3 + 9934. Calculate the common denominator of -11/411 and x.
411
Calculate the common denominator of 1 + 0 + 25*(-7)/140 and 31/260.
260
Suppose -35 - 1 = -4*b. Let r = 324 - 319. Suppose -21*l = -16*l - r. Calculate the smallest common multiple of b and l.
9
Suppose 257 = 2*z + u - 180, 2*u - 10 = 0. What is the common denominator of 143/60 and 30/z*38 - (2 - 3)?
180
Suppose -2*i + 3*k + 11 = 0, -3*i - 53*k + 8 = -49*k. Calculate the smallest common multiple of 74 and i.
148
Suppose 151 = -11*i + 2461. Let s = -108 + i. Suppose u = 2*u - 2. Calculate the smallest common multiple of s and u.
102
Calculate the common denominator of 8/2 + -2*(-1985)/3640*-4 and -107/364.
364
Let u = -75717 - -4997197/66. Find the common denominator of (190 + 6)/7*2/(-11) and u.
66
Let o be (-1393 - (-35)/5)*-2. What is the common denominator of -7/72 and 0 + 4 - 15414/o?
792
Let l(g) = -g**3 - 187*g**2 + 10*g + 2458. What is the lowest common multiple of 735 and l(-187)?
2940
Let x = 29 + -29. Suppose -5*c + 38 = 2*n, 2*c + x*c + n = 15. Let w(g) = 2*g**3 - 51*g**2 + 25*g + 7. What is the least common multiple of w(25) and c?
56
Find the common denominator of (-23)/34*8/(-6) and (-92)/3*405/(-180) + -25.
51
Suppose -2*b - 12 = -3*s, b + 0*b = -2*s - 13. Let h be (b/5 - 3/15) + 32. Find the common denominator of ((-28)/h)/((-18)/14 + 1) and 35/18.
90
Let j(z) = z**3 + 2*z**2 - 5*z - 4. Let a be j(-4). What is the common denominator of ((-686)/(-105) - 4)*(-35)/a and -20/33?
264
Let k = 73 - 63. What is the lowest common multiple of 25 and (-2 + -6)*(-2)/(16/k)?
50
Let m = 2018/1755 + -28/27. What is the common denominator of -16/51 and m?
3315
Let f be (-17 - 1)/((-1)/4). Suppose 0 = 4*b - b - f. What is the lowest common multiple of b and (-1)/(((-132)/11)/144)?
24
Calculate the smallest common multiple of 11577/81 - (-108)/1458 and 16.
2288
Suppose 18*y = y - 561. What is the least common multiple of 5 and (4 - 0) + y + 146?
585
Let o(r) = -143*r + 2295. What is the smallest common multiple of 45 and o(0)?
2295
Suppose 9*y + 2857 = 52*y - 1443. Calculate the lowest common multiple of 800 and y.
800
Suppose -2*p + 2*f + 3 = 1, 0 = -5*f + 15. Suppose p*x + 9 = 1. What is the common denominator of 27/4 and 105/x*((-1)/24)/(-1)?
16
Let n = 33238137/1831 - 18153. Let a = n - -214311/25634. Calculate the common denominator of a and -55/112.
112
Let i be -4*(-4)/88 - (-26381)/(-145277). Let k = 897995/356589 + i. C