n 16 + 114 - ((-4)/t + -2) is divided by 31?
10
Let i(o) = 9*o + 10. Let r be i(-2). Let s(p) = -p**3 - 5*p**2 + 15*p + 5. Let d be s(r). Let a = -67 + d. What is the remainder when 35 is divided by a?
5
Let o be (-5)/(-2)*12/30. Let a = 70 - o. What is the remainder when a is divided by (-236)/(-10) - (-26)/65?
21
Suppose -23*n = 5*g - 18*n - 990, -g + 186 = -3*n. Suppose -m + 2*v + 44 = 0, 10*v + g = 5*m + 5*v. What is the remainder when 199 is divided by m?
29
Suppose -17*i = -i + 19*i - 173320. Calculate the remainder when i is divided by 707.
3
Let a = -59 + 69. Suppose -2*f + a = 0, 3*u - 5*f = 1 - 26. Suppose -4*s + 4*t - t + 113 = u, -5*t + 25 = 0. What is the remainder when s is divided by 11?
10
Let k(c) = c**2 + 55*c - 2762. Calculate the remainder when 455 is divided by k(-88).
29
Let i be -1 - 0 - (222 - 6). Let z = 324 + i. Suppose 4*a - 61 = -m + 4*m, 5*a - 77 = 3*m. Calculate the remainder when z is divided by a.
11
Suppose -19*u + 18*u + 6 = 0. Let d be 37/2*(0 + u). Let b = d - 97. What is the remainder when 23 is divided by b?
9
Let l(t) = -12*t**3 + 2*t**2 + t. Let a(c) = -31*c + 189. Let y be 140/24 - 2/(-12). Calculate the remainder when l(-1) is divided by a(y).
1
Let i(m) = -m**3 + 13*m**2 - 13*m + 15. Let d be i(12). Suppose p + 3*w = 94, -4*w = -3*w - d. Let h = 91 - p. What is the remainder when h is divided by 4?
2
Let d(g) be the third derivative of -g**5/60 - 3*g**4/4 - g**3 - 2*g**2 - 71*g. What is the remainder when 163 is divided by d(-4)?
13
Let f be -17 + 17 - 14*-34. Let a = -340 + f. Suppose 3*b + 5*b - a = 0. Calculate the remainder when 48 is divided by b.
14
Let h = 838 + -183. Suppose 0 = 5*v + 3*l + h, -2*v - 4*l + 0 = 276. Let r = -57 - v. What is the remainder when r is divided by 36?
35
Let f(k) = -51*k + 50. Let o be -4 + 0 - (16 - 4)/12. What is the remainder when f(o) is divided by 7?
4
Suppose 3*u = -3*w + 244 + 5561, 0 = 2*w - 5*u - 3870. What is the remainder when w is divided by 48?
15
Let l = 56 + 13. Let q = 1 + -1. Suppose -5*i + 175 = -q*i. Calculate the remainder when l is divided by i.
34
Let w(o) = 2*o - 19. Let k be w(12). Suppose -v = -4*l + 2, k*l - 1 - 2 = v. Let c(h) = -h**2 + 3*h + 1. Calculate the remainder when l is divided by c(3).
0
What is the remainder when (2337/2214 - 15/18) + (-7774)/(-9) is divided by 67?
60
Let b = 100 - 103. Let s be 0*b*(7/(-3))/(-7). Suppose s = -5*t - 5*d + 60, 0 = 2*t + 4*d - 2 - 28. Calculate the remainder when 32 is divided by t.
5
Let z = 607 + -595. Let s(k) = -k**3 + 14*k**2 - 22*k + 9. Calculate the remainder when 158 is divided by s(z).
26
Suppose 5*a - 3*a - 318 = -3*l, 0 = -4*l + 8. Suppose -3*r + 9*r - 120 = 0. Calculate the remainder when (7 + -6)/(2/a) is divided by r.
18
Let l = 3907 - 3834. What is the remainder when 135 is divided by l?
62
Suppose 4*z - 55 = -2*q + 3*q, 5*q + 15 = 0. Let i(c) = -63*c - 5. Let k(v) = v + 1. Let g(y) = -i(y) - 2*k(y). What is the remainder when g(1) is divided by z?
12
Suppose -80*s + 23152 = 2352. Calculate the remainder when s is divided by 41.
14
Let k = -3934 - -4073. What is the remainder when 298 is divided by k?
20
Let f(q) = q**3 + 11*q**2 + 8*q - 6. Suppose l = -2*l + 78. What is the remainder when f(-8) is divided by l?
18
Let h = 1508 + -1476. What is the remainder when 205 is divided by h?
13
Let x(t) = -9*t**2 + 16*t - 91. Let q(l) = 5*l**2 - 9*l + 46. Let o(b) = -5*q(b) - 3*x(b). What is the remainder when o(-9) is divided by 13?
11
What is the remainder when 278 is divided by ((451 + -1)/5)/(-1 - 3 - -6)?
8
Let n(g) = g**2 - 17*g - 3. Let q be n(14). Let m = q - -42. Let x = m + 23. Calculate the remainder when 39 is divided by x.
19
Let v(r) = 3*r**2 + 11*r + 14. Let u = -415 + 412. Calculate the remainder when 189 is divided by v(u).
5
Suppose h = -0*h + 4. What is the remainder when (-48)/(-12)*21/h is divided by 11?
10
Let f(j) = -86*j - 2142. What is the remainder when f(-26) is divided by 76?
18
Let n be (-336)/70*40/(-6). Suppose -351 = -n*z + 5*z. What is the remainder when z is divided by 0/1 - -4*1?
1
Suppose -6*u + 20 = -2*u. Suppose 5*s + 45 + 20 = u*f, s - 35 = -5*f. Let p = 42 - 28. Calculate the remainder when p is divided by f.
6
Let m(d) be the third derivative of -d**5/60 - 13*d**4/12 + 92*d**3/3 + 18*d**2. Calculate the remainder when m(-29) is divided by 28.
13
Suppose 0*t - s = -2*t - 1, -s - 3 = -4*t. What is the remainder when 227 is divided by t/(80/76 - 1)?
37
Suppose -3*x = -3*c + 2*c - 181, -12 = 3*c. Suppose -406*p = -5036 - 5114. What is the remainder when x is divided by p?
9
Suppose -6*m + 5*o = -1283, -26*m + 5*o + 1065 = -21*m. Calculate the remainder when m is divided by 32.
26
Let y(j) = -j**3 - 13*j**2 - 4*j - 9. Suppose 6*n = 5*w + 3*n + 77, -2*n = -w - 21. What is the remainder when y(w) is divided by 27?
16
Let x(y) = y**2 - 162*y + 1805. What is the remainder when 336/4 + 2/(-1) is divided by x(150)?
2
Let i = -303 - -243. Let b = -162 + 297. Let v = i + b. What is the remainder when v is divided by 27?
21
Let l = -185 - -187. Suppose 0 = -h - 0*h + 4, -l*j + 5*h + 86 = 0. Calculate the remainder when j is divided by 27.
26
Calculate the remainder when (-26)/(-8)*22*2 is divided by 12/(-5)*(95/10 - (-12 + 22))*30.
35
Suppose 2*v + 1 = -j + 3*v, 2*v - 8 = 3*j. What is the remainder when 486/9 + -1 + 4 is divided by (-32)/j*3 + -1?
12
Let v be (-1)/4 - (-2)/8. Suppose 623*w + 128 = 639*w. Suppose v = s + s - w. What is the remainder when 14 is divided by s?
2
Let i(g) = 1557*g + 9253. Calculate the remainder when i(0) is divided by 52.
49
Let i(v) = -v**3 - 23*v**2 + 20*v - 52. Let x be i(-24). Suppose 3*b - 36 = -z + x, 3*b + 310 = 5*z. Calculate the remainder when z is divided by 35.
30
Let g = -13146 - -13219. Calculate the remainder when 2113 is divided by g.
69
What is the remainder when 238 is divided by (-10992)/(-82) - 212/4346?
104
Suppose -13 = -4*d - 3*j + 56, -j + 89 = 5*d. Calculate the remainder when 15513 is divided by d.
15
What is the remainder when 7 + (((-330)/25)/11)/(3/(-370)) is divided by 134?
21
Let n(f) = 6*f**3 + f**2 - 2*f - 2. Let w be n(2). Suppose -42*k - 72 = -w*k. Suppose 2*o + k = 5*o. Calculate the remainder when 23 is divided by o.
5
Let t = 32 - 8. Suppose 2 = -5*w - 23, -4*w = 3*d + 5. What is the remainder when (19/(-2))/(d + 51/(-10)) is divided by t?
23
Let s be (12/8 - 1)*6. Suppose 4*l = 0, -r + 0*l = -s*l - 5. Suppose 5*f = -20, 2*x + 0*f = -r*f - 10. What is the remainder when 9 is divided by x?
4
Let n = 121 - -257. Calculate the remainder when 250 is divided by 2240/n + (-2)/(-27).
4
Let k be (-363)/(-22) + 1/2. Let c = k - 15. Suppose -5*q + 21 = 4*t, -c*t + 14 - 2 = 2*q. Calculate the remainder when t is divided by 7.
2
Suppose -3*t = -2*o + 604, -89*t + 87*t = 5*o - 1491. What is the remainder when o is divided by 125?
49
Let q(j) = -j**2 - 26*j - 77. Let b be 8 + 60 - 1*-4. Calculate the remainder when q(-11) is divided by (-7)/((-14)/b) - 4.
24
Suppose -2*m + m + 5 = 0, -2*f = 4*m - 94. Suppose -4*y + i + 109 = 0, 2*y = 3*y + 3*i - f. Calculate the remainder when 54 is divided by y.
26
What is the remainder when (-890)/(-5785) + 7902/13 is divided by 28?
20
Let a = 19 + -12. Let w = 5 + a. What is the remainder when 381/21 + 2 - 6/42 is divided by w?
8
Suppose a - 12363 = -2*n, -12*a - 3*n - 12343 = -13*a. Calculate the remainder when a is divided by 17.
13
Let o(d) = -d**2 + 7*d - 6. Let y be o(6). Let z = 38 + -25. What is the remainder when (y - -7)*(5 + 2) is divided by z?
10
Suppose i - 3*i = -2*w - 98, w - 155 = -3*i. Calculate the remainder when 141 is divided by i.
39
Let t(n) be the second derivative of 13/6*n**3 - 1/20*n**5 - 7/6*n**4 - 31*n + 5/2*n**2 + 0. What is the remainder when t(-15) is divided by 15?
5
Suppose 1703*k - 348 = 1699*k. What is the remainder when 434 is divided by k?
86
Suppose -i + 26 + 63 = -5. What is the remainder when 465 is divided by i?
89
Suppose 12*l = 3*l + 18. Calculate the remainder when (-1)/(l + (-1169)/581) is divided by 11.
6
Suppose 41*f = 37*f - 2*z + 1126, -578 = -2*f + 2*z. Let j(l) = 5*l + 9. What is the remainder when f is divided by j(4)?
23
Suppose -g - 478 = -6*f + f, -f + 110 = -5*g. Calculate the remainder when 292 is divided by f.
7
Let