902 + x. What is the remainder when 170 is divided by d?
5
Let p(r) = 35*r + 237. Let c be p(-7). Let f(w) = 19 + 8*w**2 - 8*w - 5*w**2 - 4*w**2. What is the remainder when f(c) is divided by 4?
3
Suppose -26 - 11 = -f. Calculate the remainder when f is divided by (20/7)/((-1)/(-56)*8).
17
Let c(t) = -t + 1. Let r(q) = -3*q - 1. Let j(m) = 2*c(m) - r(m). Let a be j(-3). Suppose a = 8*o - 124 - 92. What is the remainder when 161 is divided by o?
26
Let f = -1988 - -1999. Calculate the remainder when 655 is divided by f.
6
Let i = -182007 - -182042. Suppose 2*j - 218 = -0*j. Calculate the remainder when j is divided by i.
4
Let h = -75 + 77. Suppose 3*u = 5*r - 7 - 17, -20 = -h*r - 4*u. What is the remainder when 21 is divided by r?
3
Let v be 2 - 4 - (-2*1 - 76). Let q = -13 + 16. Suppose -5 = s - 5*j - 9, -q*j = 5*s - v. Calculate the remainder when 54 is divided by s.
12
Suppose -65*m + 5*w = -61*m - 1961, 4*w = -5*m + 2482. Calculate the remainder when m is divided by 107.
66
Let o(c) = 4*c - 96. Let p be o(24). Let g(k) = k**2 + 38. What is the remainder when 340 is divided by g(p)?
36
Suppose 0 = -17*l + 10420 + 4540. Let f = l + -865. What is the remainder when 72 is divided by f?
12
Let l(c) = 14*c - 24. Let a(w) = w**3 - 11*w**2 + 9*w + 13. Let r be a(10). Suppose 168 = r*x - 99. What is the remainder when x is divided by l(3)?
17
Let r = 21993 + -21989. What is the remainder when 4130 is divided by r?
2
Let v = -413 + 451. What is the remainder when 9271 is divided by v?
37
Let t(d) = d**3 - 18*d**2 + 20*d + 61. What is the remainder when t(24) is divided by 8?
5
Let g(k) = -206*k + 894. What is the remainder when g(4) is divided by 44?
26
Suppose 1214*u - 1313*u = -396. Suppose 0*j = -5*j. Suppose 4*i - 1 - 99 = j. What is the remainder when i is divided by u?
1
Suppose 5*f = -97*d + 95*d + 1077, 9 = -d. Calculate the remainder when f is divided by 215.
4
Suppose -883 = -21*f - 169. What is the remainder when f is divided by 31?
3
Let l = -1503 + 1614. What is the remainder when 441 is divided by l?
108
Let m(o) = -2*o**3 - 14*o**2 + 18*o + 9. Let w be m(-7). Calculate the remainder when 24/(-10)*780/w is divided by 3.
1
Let f = 24155 + -23351. What is the remainder when f is divided by 88?
12
Suppose 4*r + 1 = 3*r, 6 = -2*b - 4*r. Calculate the remainder when 126 is divided by ((-3)/b)/(72/1536).
62
Let p(y) = -10 - 9*y + 8*y + 3. Let b be p(13). Calculate the remainder when 47 is divided by ((b/6)/(-1))/((-14)/(-42)).
7
Suppose 329 = 5*f - 3*b, -72*b = f - 76*b - 59. Let q(k) = 335*k**2 - 1. Calculate the remainder when q(1) is divided by f.
66
Let g(v) = -113*v + 1369. What is the remainder when 114 is divided by g(12)?
10
Let s = 4680 - 1211. What is the remainder when s is divided by 151?
147
Let c = -28340 + 28425. Calculate the remainder when 2778 is divided by c.
58
Suppose 12*u + 2*p = 8*u + 2718, 9*p = -63. Calculate the remainder when u is divided by 18.
17
Let h(u) = -u**2 - 11*u + 7. Suppose -59*k = -120*k + 549. What is the remainder when h(-9) is divided by k?
7
Suppose -3*x = g - 1033, -4*g + g - x + 3059 = 0. What is the remainder when 4082 is divided by g?
10
Suppose -171*f + 161*f + 190 = 0. Suppose 0 = k - 8. Let b = k - 4. Calculate the remainder when f is divided by b.
3
Let m = 4132 - 4105. Calculate the remainder when 28 is divided by m.
1
Let h be 4 + (0 - 2) + 2 + 5. Calculate the remainder when 2*(12024/16)/h is divided by 17.
14
Suppose 4*k - 12 = 4*m, -181*k = -177*k - m - 33. What is the remainder when k is divided by 0 - 1 - (-3 - 5)?
3
Let j(d) = 263*d**2 - 5*d + 5. Let v = 913 - 912. Calculate the remainder when j(v) is divided by 12.
11
Suppose -3*g + 51582 = -3*m, 2*g - 4*m - 47532 = -13150. Calculate the remainder when g is divided by 16.
13
Let f = -1791 - -1806. Let r be (1 - -1)/(-6 - -5). What is the remainder when f is divided by 9*r*(-1)/2?
6
Let q be ((-3)/((-18)/(-4)))/(44/(-330)). Suppose -2*f + b = -65, 0 = 7*b - 2*b + q. What is the remainder when 71 is divided by f?
7
Let l = -32 + 47. Let m(a) = 20*a + 658. What is the remainder when m(-30) is divided by l?
13
Suppose 0 = 5*w + 11*o - 6320, -40*w + 2491 = -38*w - 3*o. What is the remainder when w is divided by 96?
5
Let h(i) = i**2 - 20*i + 36. Let s be h(18). Suppose 15*m + 26 - 221 = s. Calculate the remainder when 32 is divided by m.
6
Suppose -2*b + 70 - 148 = -2*n, -2*b = 4*n - 180. Calculate the remainder when n is divided by 15.
13
Let w(j) = 2*j**2 + 153*j - 1381. Calculate the remainder when w(9) is divided by 13.
2
Let i(n) = -76*n + 2845. Calculate the remainder when i(34) is divided by 174.
87
Suppose -22 = -2*d + 156. Let j be 4/2*-1*4018/98. Let y = d + j. What is the remainder when y is divided by 4?
3
Suppose 5*n = r + 9 + 138, 3*r = n - 21. Suppose -4*y = 9*f - 6*f - n, 0 = 5*y. What is the remainder when 78 is divided by f?
8
Suppose 11*p - 796 - 865 = 0. Let k = p + -143. What is the remainder when 78 is divided by k?
6
Suppose 40174 = 41*k + 9670. What is the remainder when k is divided by 94?
86
Let y = -22319 + 22490. What is the remainder when y is divided by 36?
27
Let d(b) = -9*b**3 - b. Let k be d(-1). Calculate the remainder when (2/k + (-903)/140)*-4 is divided by 17.
8
Let v be (-4)/6 - (1 - (-712)/12). Let p = v - -48. Let z = 31 + p. Calculate the remainder when 69 is divided by z.
15
What is the remainder when ((-291)/6)/(-6 - (81/(-42) + -4)) is divided by 22?
19
Let d be 2/4 + (-138)/(-4). Let h = d - 11. Calculate the remainder when 87 is divided by h.
15
Suppose 0*g + x = -4*g + 844, 2*g + 3*x - 412 = 0. Let t = g - 202. What is the remainder when 48 is divided by t?
8
Let x(j) = 44 + 6*j + 7*j + 18*j - 29*j. Calculate the remainder when x(6) is divided by 22.
12
Let b(i) = -i**2 - 29*i + 438. Suppose 0 = -2*l + 5*l - 858. Calculate the remainder when l is divided by b(10).
46
Suppose 13*l - 64 = 599. What is the remainder when l is divided by (-6)/12 - (-135)/10?
12
Suppose -110*q = -112*q + 6. Suppose q*y + 149 = 2*h, -4*h + 4*y + 297 = -y. Let m = h + -44. Calculate the remainder when 57 is divided by m.
28
Let h(u) = -45*u + 58. Let b be h(-33). Suppose o - 308 = -6*a + 5*a, -4*a + b = 5*o. What is the remainder when o is divided by 26?
25
Suppose -25 = 6*j + 239. What is the remainder when 85 is divided by 1/2*j/(-3)*3?
19
Let m(h) = h**3 - 33*h**2 + 194*h + 6. What is the remainder when 380 is divided by m(7)?
20
What is the remainder when ((-11)/(11/5))/((-50)/1860) is divided by 53?
27
Suppose 0 = -z - o + 17, -296 = 2*z - 255*o + 235*o. Let t(i) = -i**3 + i + 3. Calculate the remainder when t(0) is divided by z.
1
Let k = -99 - -153. Let r = 215 + -110. Suppose 2*z = -67 + r. Calculate the remainder when k is divided by z.
16
Suppose -29*f + 34*f - 31916 = -2*g, -g - 31907 = -5*f. What is the remainder when f is divided by 31?
27
Let g = -6 + 11. Let k = -1 - -3. Let w(a) = 4*a**3 - 3*a - 2. Calculate the remainder when w(k) is divided by g.
4
Suppose 836*k = 670*k + 21580. Calculate the remainder when 8189 is divided by k.
129
Let n = 830 - 835. Let w(f) = f**3 + 6*f**2 + 7*f + 31. What is the remainder when 712 is divided by w(n)?
19
Let x(j) = 360*j**2 - 34*j + 33. What is the remainder when x(1) is divided by 122?
115
Let t(q) = -110*q + 595. Let n(v) be the third derivative of -v**4/12 - v**3 - 7*v**2. What is the remainder when t(5) is divided by n(-6)?
3
Let o = -46 - -50. Suppose 0 = o*f - 20 - 36. What is the remainder when 94 is divided by f?
10
Let x(k) = -k**3 + 7*k**2 + 9*k + 1. Let y be x(8). Let g be 74 - (-4)/(-8)*4. Suppose -5*p + y*p - g = 0. What is the remainder when 106 is divided by p?
16
Suppose 231*o = 38543 + 96520 + 34722. What is the remainder when o is divided by 165?
75
Suppose -9 = -2*q - 697. Let t = q + 357. Calculate the remainder when 100 is divided by t.
9
Calculate the remainder when (1 - -207) + -4 - 1 is divided by (-36)/(-27)*36 + (-3)/(-1).
50
Suppose 5*p + a - 222 - 190 = 0, 2*p - 4*a = 178. Let k(f) = -848*f**2 - 7635*f - 10. Calculate the remainder when p is divided by k(-9).
15
Suppose -828 = o - 18*o + 192. What is the remainder when o is divided by 31?
29
Suppose 0 = f + 1 + 3, w + 3*f - 35263 = 0. Calculate the remainder when w/595 - 4/14 is