1
Let t(b) = -b**3 + b**2 - 29*b - 60. Calculate the remainder when 53 is divided by t(-2).
3
Let h(o) = o**3 - 46*o**2 + 367*o - 105. Calculate the remainder when 1624 is divided by h(36).
7
Suppose -17*q + 290*q - 139503 = 0. What is the remainder when q is divided by 57?
55
Let n(j) = -3*j**2 + 5*j - 7 + 16*j + 8*j + 17. Calculate the remainder when n(7) is divided by 12.
6
Let n(a) = -949*a - 5028. What is the remainder when n(-23) is divided by 14?
13
Suppose -34*s + 4 = -35*s, 4*s - 19 = -y. Suppose 0 = 5*t + 20, -t - 211 = -3*l + 81. What is the remainder when l is divided by y?
26
Calculate the remainder when 4069 is divided by 1355 + (-7*42/441)/((-2)/(-9)).
13
Let j = -2 + 109. Let p = j - 84. What is the remainder when 90 is divided by p?
21
Suppose -k + 5*k = -5*r + 309, 0 = -3*r - 2*k + 187. Calculate the remainder when 644 is divided by r.
59
Let w = 8 - 28. Let x be (-4)/(2*5/w). Suppose 0 = 2*z + 3*b - 218, 5*z - x*b = -3*b + 545. Calculate the remainder when z is divided by 11.
10
Let r(d) = 7*d - 5. Suppose 6*f + 3 = 9. Let c be r(f). What is the remainder when -2 - ((-95)/1 + c) is divided by 23?
22
Suppose -24*j + 889 + 993 = -2390. Let f = 4 - -26. Calculate the remainder when j is divided by f.
28
Let w be (21/(-14))/(2*3/(-12)). Suppose b + 3*b + 2*u = 10, -2*b + w = -u. Suppose -8 - 14 = -b*j. Calculate the remainder when 65 is divided by j.
10
Let n(i) = 2*i**2 - 21*i + 29. Let f be n(9). Suppose -4*g - d + 352 = -5*d, -4*d + 158 = f*g. Calculate the remainder when g is divided by 16.
5
Suppose -2 = -i + 3*i, 0 = -y - 3*i + 76. Calculate the remainder when y is divided by 36.
7
Let r = 192 + -208. Calculate the remainder when 15 is divided by r*(-6 - 77/(-14)).
7
Let f(i) = 7*i**2 - i + 6. Calculate the remainder when f(-5) is divided by 47/(-5)*(7 - (7 + 5)).
45
Suppose 1116 = 113*v - 82*v. Let q = -9 - -31. Calculate the remainder when v is divided by q.
14
Let o = -1249 + 1341. Let k = -23 - -55. What is the remainder when o is divided by k?
28
Let z = 3802 + -3716. Calculate the remainder when z is divided by -3 + 5 - (1 - 28).
28
Let h = 229 - -12. Let w = h - 159. What is the remainder when w is divided by (1/3)/((-2)/(174*-1))?
24
Suppose 0 = 22*l - 61*l + 897. Calculate the remainder when 110 is divided by l.
18
Let z be 50/(-8) - ((-3)/4)/3. Calculate the remainder when 2/z*(10 - (351 - 8)) is divided by 25.
11
Suppose 31*p - 1945 = 287. Calculate the remainder when 247 is divided by p.
31
Let g(o) = 72*o - 3866. Calculate the remainder when g(62) is divided by 592.
6
Let h be (-1 - -16)/(-5) - -29. Let u = -22 + h. Suppose -9*l + u*l = -340. Calculate the remainder when l is divided by 27.
14
Suppose -4*x + 4*m = -489 - 1211, -4*x - m = -1725. Let w = -762 - -824. What is the remainder when x is divided by w?
58
Suppose -452 = -5*u + z + 570, -3*u + 624 = 3*z. Calculate the remainder when u is divided by 20.
5
Suppose -95*h = -11025 - 74665. What is the remainder when h is divided by 181?
178
What is the remainder when 744 is divided by ((-152)/57)/((-56)/567)?
15
Suppose 8*f + 0 = -8. Let q be (-1)/(f/6)*(-2)/(-3). Suppose 0*x - 12 = 4*x - q*p, -5 = -p. What is the remainder when 16 is divided by x?
0
Let u = 30005 - 29956. Let i be 0/(0 - -2) + 22. Let a = i + -4. Calculate the remainder when u is divided by a.
13
Let y = 287 + -183. Suppose 68*u - 52*u = 848. Calculate the remainder when y is divided by u.
51
Let z(d) = d**2 - d + 6. Suppose -2*j - 7*j + 27 = 0. Let h be z(j). Let f = -1 + h. Calculate the remainder when 20 is divided by f.
9
Let s = 4404 - 4311. Calculate the remainder when s is divided by 9.
3
Suppose -2*b + 4 = -3*y + 30, 3*y - 4*b = 34. Suppose -247 = -5*o + s, 0 = o + y*s - 9*s - 41. Calculate the remainder when 148 is divided by o.
48
Let c = -3775 - -4928. What is the remainder when c is divided by 65?
48
Let l(r) = -15*r**3 - 2*r**2 - 4*r - 4. Let z(i) = -2*i**3 + 17*i**2 - 7*i - 10. Let y be z(8). Calculate the remainder when l(y) is divided by 7.
4
Let b = -1167 + 2175. Suppose 44*d - 40*d = b. Calculate the remainder when d is divided by 17.
14
Let y = -23749 - -23766. Calculate the remainder when 4198 is divided by y.
16
Let q be (68/(-85))/((-1)/5). Suppose 5*y = q*n + 146, 5*y = n + 174 - 40. Calculate the remainder when 121 is divided by y.
17
Suppose -g - 3*q + 390 = 0, 17*q - 19*q = -g + 355. What is the remainder when g is divided by 58?
21
Let z(v) = v**3 + 10*v**2 + 8*v - 2. Let o be z(-9). Calculate the remainder when 13 is divided by -6 + 4 + (o - 4).
0
Suppose 10 = 3*m + 7*m. Suppose -5*h + m = 4*g - 2, 2*h = -2. Suppose g*i - 8 = -2*j - 0, 3*j = 5*i - 44. Calculate the remainder when 13 is divided by i.
6
Let p be 5/((1/1)/(6/5)). Suppose -29 = -r + 2*v, -102 = 2*r - p*r + v. What is the remainder when 94 is divided by r?
19
Let m(y) = y**3 + 5*y**2 - 2*y - 11. Let o(n) = -2*n**3 - 11*n**2 + 3*n + 24. Let b(i) = 5*m(i) + 2*o(i). What is the remainder when b(-3) is divided by 1?
0
Let x = -51157 + 51307. Let g(k) = 5*k + 2. What is the remainder when x is divided by g(4)?
18
Suppose 119 = -2*r + 3*r. Let m be (9/3 + -1)*(-165)/(-22). Calculate the remainder when r is divided by 2/(-3) - ((-70)/m - 7).
9
Let m be (0 - (-165)/21) + (-8)/(-56). Suppose -m*j = -6*j - 88. Calculate the remainder when ((4 - 8) + -2)/(6/(-128)) is divided by j.
40
Suppose z + 101 = 106. Suppose -z*c + 104 = 5*b - 2*b, 0 = 5*b - 3*c - 230. What is the remainder when b is divided by 8?
3
Let o = 55 - 27. Let c = 14 - o. Let u = c + 26. Calculate the remainder when 67 is divided by u.
7
Suppose 7*m = 389 + 731. Calculate the remainder when 658 is divided by m.
18
Suppose -182 = -7*h - 0*h. Suppose 0 = 4*f - 6*f + 4*k - 32, -f - 2*k - 16 = 0. Let z = h + f. What is the remainder when 26 is divided by z?
6
Suppose -4*l - 154 = a - 565, -6 = -2*a. What is the remainder when l is divided by (1050/180)/((-6 + (-18)/(-4))/(-9))?
32
Let j be (-34)/(-4 + 36/10). Let s = -79 + j. Suppose 0 = -s*c + 9*c - 159. Calculate the remainder when c is divided by 19.
15
Let w(k) be the second derivative of -1/6*k**3 + 0 + 6*k**2 + 14*k. What is the remainder when w(5) is divided by 4?
3
Let x(g) = 8*g - 59. Let d be x(5). Let i(v) = -v**2 - 21*v + 1. What is the remainder when 778 is divided by i(d)?
37
Let g(n) = -1862*n - 16173. What is the remainder when g(-9) is divided by 155?
120
Suppose 7192*l - 7200*l + 776 = 0. What is the remainder when l is divided by 4?
1
Let o = -34 + 43. Let v be 4/(-3)*o/(-6). Suppose v*r + 11 - 39 = 0. What is the remainder when 39 is divided by r?
11
Let s be 0 - 0 - (-2 + (5 - 260)). Suppose -s + 4682 = 15*p. Calculate the remainder when p is divided by 60.
55
Suppose 8*n = -10*n + 126. Let q(c) = c + 99. What is the remainder when q(n) is divided by 28?
22
Suppose -8868 = -l - 5*z, 65*l = 69*l + 5*z - 35382. Calculate the remainder when l is divided by 40.
38
What is the remainder when (-31)/62*(0 - (-1122)/(-3)) is divided by 84?
19
Let l(o) = -o**3 - 3*o**2 + 5*o - 2. Let w be l(4). What is the remainder when w/4*(0 - 2) is divided by 112/20 - 6 - (-402)/30?
8
Calculate the remainder when 28186592/1904 - 2/(-17) - (-2 + 3) is divided by 141.
139
Let m = 8355 - 6969. Calculate the remainder when m is divided by 335.
46
Calculate the remainder when -3908*(-27)/12 + -20 is divided by 135.
133
Calculate the remainder when (14 + -76)/(4 - (-316)/(-78)) is divided by 292.
41
Suppose 0 = 2*y + 2*p - 0*p - 844, 2*y - 3*p = 829. Suppose -113 + y = 3*g. What is the remainder when g is divided by 35?
32
Calculate the remainder when 1149 is divided by 2/(-26) + 2/650*23425.
69
Let k be (-285)/(-76) + (1 - 9/12). Suppose -k*l - 43 = -83. What is the remainder when 49 is divided by l?
9
Let t(x) = 21*x - 287. Calculate the remainder when 129 is divided by t(14).
3
Let z = 9981 + -9947. Let p(d) = -d**3 - 14*d**2 - 4*d + 10. Calculate the remainder when p(-14) is divided by z.
32
What is the remainder when 168 is divided by (147*1)/(102/68)?
70
Let r(d) = 641*d + 3212. What is the remainder when 73 + (4/(-2) - -1) is divided by r(-5)?
2
Suppose -5823*p + 5798*p = -9825. Let g = 8 - -4. What is the remainder when p is divided by g?
9
What is the remainder when 35 is divided by ((-1206)