ose -70*w = -79*w + 17406. Suppose w - 561 = 4*d - 5*s, 4*d - 1338 = -2*s. What is the remainder when d is divided by 57?
52
Let l(d) = -2*d**3 - d + 1. Let m(n) = 11*n**3 + 5*n**2 + 6*n + 17. Let s(i) = -5*l(i) - m(i). What is the remainder when 57 is divided by s(-6)?
17
Suppose 0 = -52*w + 41*w + 34*w - 262131. What is the remainder when w is divided by 100?
97
What is the remainder when 288 is divided by 414*12/(-594)*-11?
12
Suppose 0 = -5*k + 3*v + 520, -5*k + 376 = 3*v - 144. What is the remainder when 804 is divided by k?
76
Suppose -5*h = -3*t + 11160, 300*h - 301*h = 4*t - 14834. What is the remainder when t is divided by 6?
2
Let b be (-697)/41*(-1 - -2). Let f = 15 + -5. Calculate the remainder when 417/15 - b/85 is divided by f.
8
Let z = -21 - -111. Suppose 25*w - 195*w + 5625 = 198*w - 7623. Calculate the remainder when z is divided by w.
18
Let g(i) = -i**3 + 7*i**2 + 33*i - 13. What is the remainder when 4022 is divided by g(9)?
118
Suppose -71*p + 68*p = 360. Let y = 120 + p. Suppose -n + 19 + y = 0. Calculate the remainder when n is divided by 5.
4
Suppose -659*j = -679*j + 160. What is the remainder when 951 is divided by j?
7
What is the remainder when 574 is divided by 24/(6 - 4) + 45 + -30?
7
Let t(p) = 36*p - 175. Let f be t(5). Let i(c) = -c**2 - 24*c + 10. Let g be i(-12). Suppose -f*o = 9 - g. Calculate the remainder when 56 is divided by o.
27
Let f = -3 - -10. Let q(i) be the first derivative of i**3/3 + 9*i**2/2 + 2*i + 18. Calculate the remainder when q(4) is divided by f.
5
Suppose -774 = -5*d - 294. Let c be 275/15 + 2 + 4/6. Suppose -18*t = -c*t + 99. What is the remainder when d is divided by t?
30
Let l = -65 + -190. Calculate the remainder when (-2451)/(-21) - (-2)/7 is divided by (4/12)/((-1025)/l - 4).
15
Let r(t) = 6*t**2 - 31*t + 99. Calculate the remainder when r(7) is divided by 25.
1
Suppose 0 = -2*p + p - 37. Let i = 994 + -1057. Let k = p - i. Calculate the remainder when k is divided by 11.
4
Let s(t) = -241*t - 1671. Calculate the remainder when 3341 is divided by s(-7).
13
Let f(c) = -15*c + 14. Suppose 3*y = 9*y - 186. Let o = y + 0. Calculate the remainder when f(-3) is divided by o.
28
Let l(m) = m**3 + 11*m**2 - 14*m - 7. Calculate the remainder when (-14)/4*-2*7 is divided by l(-12).
15
Let t = -2795 - -2824. Calculate the remainder when 1739 is divided by t.
28
Suppose -2*s = -3*o - 65 - 104, 4*s = -o + 331. Calculate the remainder when s is divided by 12.
11
Let v(o) = -o**3 + 4*o**2 - 6*o + 4. Let n be v(2). Let s = n - -150. Calculate the remainder when s is divided by 22.
18
Let j(r) = -2*r**3 - 6*r**2 + 3*r - 1. Let u be j(-5). Let x = -70 + u. Suppose -5*h - x = -79. Calculate the remainder when 24 is divided by h.
11
Suppose 1714 + 2600 = 237*k - 2559. What is the remainder when 823 is divided by k?
11
Let z = 50 + 140. Suppose z + 114 = 4*a. Suppose 107 + 12 = 17*f. What is the remainder when a is divided by f?
6
Let h(z) = 3*z**2 + 3*z + 1. Let w(p) = 2*p. Let o be w(-1). What is the remainder when 137 is divided by h(o)?
4
Calculate the remainder when (-1 - 855/(-1)*1) + -7 + 3 is divided by 23.
22
Let n be (-4)/1*1414/(-56). Let g = n + 9. What is the remainder when g is divided by 35?
5
Suppose -4*n = 86 - 98. Calculate the remainder when (-23)/(5/(-45)*n) is divided by (-9)/3 + 1 - -37.
34
Let c(r) = r**3 + 7*r**2 + 6. Suppose -4*a - 8*g = -10*g + 336, 238 = -3*a - 2*g. Let t = a + 84. Calculate the remainder when c(-7) is divided by t.
0
What is the remainder when 346 is divided by (-18)/1*101824/(-5328)?
2
Let f be -1*2*(46/(-4) + 7). Suppose -11*l = -f*l - 44. Suppose -3*a - 2*a = -80. What is the remainder when l is divided by a?
6
Let v = -128844 + 128858. Suppose -2*g + 6*g = 600. What is the remainder when g is divided by v?
10
Let a be (-5)/(-15)*(3 + 3). Suppose 0*o + a*l + 4 = 5*o, 0 = 2*l - 6. Suppose -o*r + 14 + 36 = 0. What is the remainder when 88 is divided by r?
13
Suppose q - 331 = -327. Suppose -j + 4*j = q*d + 22, j + 3*d = 3. What is the remainder when j is divided by 3?
0
Let r = 4 - 0. Suppose 0 = -r*o + 3*k + 164 + 13, -3*o = 2*k - 154. Calculate the remainder when o is divided by 13.
9
Let l(t) = -26*t - 5. Let d(b) = -b**2 + 19*b - 20. Let w be d(18). Let r(n) = 14*n - 3. What is the remainder when l(w) is divided by r(2)?
22
Suppose -h = 5, 3*h - 27 + 26 = -4*c. Suppose -5*y - 7*j + c*j = -21, 3*j = 2*y. Calculate the remainder when 80 is divided by y.
2
Let s = 13 + 16. Let c(x) = 2*x**2 + 37*x + 182. Calculate the remainder when s is divided by c(-8).
1
Let v(o) = o + 1. Let u(z) = -2*z - 3. Let b(a) = -u(a) - 3*v(a). Let i be b(0). Suppose i = -2*k - k + 21. Calculate the remainder when 14 is divided by k.
0
Let p = 13210 + -12518. What is the remainder when p is divided by 216?
44
Let z(l) = -l**2 - 20*l + 12. Let u be z(-17). Suppose 2*s = 3*x + 39, -2 = 5*x - s + u. Let y = -3 - x. Calculate the remainder when 47 is divided by y.
7
Let a be (-26)/(-4)*-7*(-80)/28. Suppose -86 = 128*q - a*q. Calculate the remainder when 69 is divided by q.
26
Let n(o) = 2*o**3 + 53*o**2 - 85*o + 35. Let l(h) = 2*h**3 + h**2 - 7*h + 5. What is the remainder when l(7) is divided by n(-28)?
61
Suppose -3*o = -y + 153, -4*o - 614 = -5*y + 129. Calculate the remainder when y is divided by 52.
43
Suppose 5*m + 125 = 4*s, -10*s - 28 = -11*s - 2*m. Calculate the remainder when 887 is divided by s.
17
Calculate the remainder when 12/(8/(-101)*32/(-128)) is divided by 8.
6
Suppose 3 = 41*x - 42*x. What is the remainder when (39/(-6) + 2)/(4/(-40)) is divided by ((-32)/x)/(40/60)?
13
Suppose -1155 = -5*u - 2*k - 0*k, -u = 4*k - 249. Let w = 92541 - 92495. Calculate the remainder when u is divided by w.
45
Let t be (-111)/9 + (-2)/(-6). Suppose 0 = -2*h - l + 3465 - 3420, -3*h + 2*l = -29. What is the remainder when 2/6 - 1412/t is divided by h?
16
Let w = 507 - 134. Let q = 596 - w. Calculate the remainder when q is divided by 15.
13
Let y = -64 - -65. Calculate the remainder when 14 is divided by -2*(y - (9 + (-4)/1)).
6
Let r(o) = -o**3 + 122*o**2 - 693*o - 235. Let x be ((-2)/(-2))/(2/(-4)). Calculate the remainder when r(116) is divided by 32 + (1 - 2) + x.
26
Let x = 5982 - 5975. Let a(u) = -3*u + 1. Let n be a(-1). Calculate the remainder when n/10 - 336/(-10) is divided by x.
6
Let f(u) = -24 + 26*u - 14*u + 61*u - 5*u**2. What is the remainder when 53 is divided by f(14)?
17
Suppose -7*a + 552 = 41. Suppose 4*g - 3*g + a = 5*v, 5*v + 5*g - 55 = 0. Let r(q) = 14*q**2 - 5. Calculate the remainder when r(2) is divided by v.
9
Suppose 51*w + 9*w + 32*w = 191268. What is the remainder when w is divided by 26?
25
Let q = 16857 + -15515. Calculate the remainder when 1352 is divided by q.
10
Suppose 0 = 143*s - 142*s + 2*q - 149, -q = 7. What is the remainder when 304 is divided by s?
141
Suppose 7*t - 3*t - 116 = 0. Suppose 223*d = 260*d - 6401. What is the remainder when d is divided by t?
28
Let n = 483 + -463. Let v(t) = -t + 12. What is the remainder when n is divided by v(10)?
0
What is the remainder when 3537 is divided by (-9)/(216/132)*1284/(-6)?
6
Suppose a - w = 108, -w + 114 - 3134 = -27*a. Calculate the remainder when 6046 is divided by a.
110
Suppose -l = -0 - 53. What is the remainder when l is divided by 840/72 + 4/(-6)?
9
Suppose -5*y + 8 = -2*o, -1 = 5*y + 3*o + 11. Suppose -n + 40 + 27 = y. Suppose t - 3*z = 23, -2*t + 16 = z + 3*z. What is the remainder when n is divided by t?
11
Suppose 5*c + g - 115 = 0, c - 2*c + 4*g + 2 = 0. Let v(k) = -3*k + 46*k**2 - 2 + c*k**2 + 3*k - 3*k. What is the remainder when v(-1) is divided by 36?
33
What is the remainder when (-715)/(-1) + -1 + (-170)/17 is divided by 8?
0
Suppose -4*i - 381 = -3*p - 65, -5*i - 5 = 0. Let n be (-2 + 10)/2 + 624/6. Suppose -n = -4*g + 2*x, -x = -4*x. What is the remainder when p is divided by g?
23
Let k = -711 + 4064. Calculate the remainder when k is divided by 129.
128
Let w(h) = 2*h**2 + 3*h - 12. Let v(u) = -5*u**3 + 5*u + 4. Let q be v(-1). Let b(g) = 4*g - 3. What is the remainder when w(q) is divided by b(3)?
5
Let v be 0/(-2) - (12 - 251) - 3. Let p = 11 + -3. What is the remainder when 57 is divided by v/p - (15/6 - 3)?
27
Suppose -17 = c - 4*x - 248, 2*x + 462 = 2*c. What 