(-14)/7 - (3 - 6)) + 16.
16
Let i(f) = -f**2 - 104*f - 904. What is the remainder when i(-49) is divided by 39?
36
Suppose 209 = 11*j - 2486. Suppose j = 6*x + 17. What is the remainder when x is divided by 21?
17
Suppose -211 = -3*n - 5*o - 15, 2*n + 4*o = 128. Suppose c + 67 - n = 0. Let q = 17 - 8. What is the remainder when q is divided by c?
4
Suppose -90*d + 126 = 62*d - 2762. Calculate the remainder when 3665 is divided by d.
17
Suppose 2*u - 76 = -m - 68, 3*m = 5*u - 53. Calculate the remainder when 3149 is divided by u.
6
Let g(d) = -d**3 + 5*d**2 + 2*d + 24. Let i be g(6). Suppose i = -4*j + 10*j - 270. Calculate the remainder when j is divided by 23.
22
Let u = 57 + 90. Let s = u - 139. Calculate the remainder when 63 is divided by s.
7
Suppose -2*x + 0*x - 11 = 5*z, z + 33 = 4*x. Suppose 5*w + 22 = 4*u, -3*w - 18 = -0*w - 4*u. What is the remainder when 23 - (8/w - (4 - 5)) is divided by x?
5
Let n = 109 + -29. Suppose -4*b + 146 = -f - 4, b = -2*f + 33. Calculate the remainder when n is divided by b.
6
Suppose 443 - 300 = w. Let t(h) = -3*h - 5. Let k be t(-2). Calculate the remainder when w is divided by (2 - 9)/(k/(-7)).
45
Let s(j) = -7*j + 16. Let u(i) = 33*i - 78. Let w(o) = -24*s(o) - 5*u(o). Calculate the remainder when 93 is divided by w(5).
9
Let r = 2318 - 2095. What is the remainder when r is divided by (-524)/(-12) - 28/(-21)?
43
Suppose -1516 = -4*r + 1068. Let x(i) = -2*i**3 - 11*i**2 - 6*i - 13. What is the remainder when r is divided by x(-6)?
56
Let d = -3951 - -4272. Calculate the remainder when d is divided by 52.
9
Let x = -1354 - -1528. Calculate the remainder when 1907 is divided by x.
167
Suppose 147*b = -2699 + 27248. What is the remainder when b is divided by 3?
2
Let l = 521 - 505. Suppose 15*t - 121 = -l. Suppose 3*p + 2 = -5*z + 143, -104 = -4*z + 2*p. Calculate the remainder when z is divided by t.
6
Suppose 37*v - 4568 = 1703 + 12488. Calculate the remainder when v is divided by 216.
75
Let n(r) = -r**2 - 31*r + 132. Let z be n(4). What is the remainder when 31 is divided by (((-45)/(-2))/5)/((-3)/z)?
7
Let a(t) = t**3 + 15*t**2 + 11*t + 30. Let k be a(-14). Suppose -70*l = -k*l + 426. What is the remainder when l is divided by 43?
41
Let k(m) = 68*m - 29. Let r be k(15). Suppose 5*d = 389 + r. Suppose -d = -4*h - 0*h. What is the remainder when h is divided by 35?
34
Suppose 0 = 4*z - 3*v - 12603, -12627 = 13*z - 17*z - 5*v. Calculate the remainder when z is divided by 150.
3
Let v be (-48)/6*((-1 - -1) + -26). Suppose -2*m - v = -248. Calculate the remainder when 55 is divided by m.
15
Suppose 0 = 5*n + 5*p - 39 - 31, n = 3*p + 2. What is the remainder when 2946 is divided by n?
9
Let q = -3192 - -4058. Calculate the remainder when q is divided by 29.
25
Suppose -60 = 12*r - 15*r. Let p = -255 - -852. Suppose -5*y = 202 - p. What is the remainder when y is divided by r?
19
Suppose -4*z = -z - 87. Let n(i) = -114*i**3 + i**2 + 4*i + 2. Suppose -m = -4*f - 8, -3*m = -m - 8. What is the remainder when n(f) is divided by z?
26
Suppose 5*l - 5*i - 420 = 0, -3*i + 128 = -2*l + 302. Calculate the remainder when 184 is divided by l.
28
Suppose 7*t - 48 = 3*t. Let c be 115/25 + 4/10. Suppose -c*y = -3*n + 11 - 241, 0 = 5*n + 25. What is the remainder when y is divided by t?
7
Suppose -17*j + 10117 = -10742. What is the remainder when j is divided by 4?
3
Suppose i + 5*z - 597 = 377, 1004 = i - 5*z. Calculate the remainder when i is divided by 15.
14
Suppose -6*z + 2*t + 401 = -693, 730 = 4*z - t. What is the remainder when 536 is divided by z?
170
Let w(q) = 3*q**2 + 13*q + 2. Let k(g) = 11*g + 2 - 40*g**3 + 4 + 39*g**3 - 3*g**2 + 13*g**2. What is the remainder when w(-7) is divided by k(11)?
4
Let l(j) = -138*j**3 - 3*j**2 + 2. Let q be l(1). Let v = -55 - q. What is the remainder when v is divided by 51?
33
Suppose -j = -49 - 8. Suppose -3*v + 21 = 4*o - 2, 5*v - j = -2*o. Calculate the remainder when (-7)/(-2)*(11 + 3) is divided by v.
10
Let c(i) = 6*i**2 + i. Suppose 21616 = 199*j - 6*j. Calculate the remainder when j is divided by c(3).
55
Suppose -252 - 31 = -15*j - 28. Calculate the remainder when 7511 is divided by j.
14
Let s(h) = h**2 - 82*h + 722. Let k be -1 - 3/(2 - -1). Let y = k - -7. What is the remainder when y is divided by s(10)?
1
Let t be ((-23)/((-920)/(-16)))/((-2)/3540). Let b = -689 + t. Calculate the remainder when 169 is divided by b.
17
Suppose 0 = -0*o - 9*o + 4212. Calculate the remainder when o is divided by ((-69)/(-138))/(((-4)/10)/((-236)/5)).
55
Let p be (-45)/(-20) + 2/(-8). Suppose -p*l = -15 + 5. Suppose 2*r = -0*j - 3*j + 19, r = -4*j + 27. Calculate the remainder when j is divided by l.
2
Suppose -x = -29 + 5. Let r(z) = 36*z + 2767. What is the remainder when r(-75) is divided by x?
19
Let k(v) = 13*v**3 - 8*v + 3*v**2 - 5 + 3*v**2 - 12*v**3 - v**2. Let d be k(-6). Suppose 176 = d*j - 69. Calculate the remainder when j is divided by 18.
17
Let j(d) = -48*d - 795. What is the remainder when 70 is divided by j(-17)?
7
Let b(n) = -3*n**2 + 56*n + 50. What is the remainder when b(15) is divided by 27?
26
Let z(w) be the first derivative of 5*w**2/2 - 8*w + 2. Suppose 17*k - 59*k = -462. Calculate the remainder when z(k) is divided by 10.
7
Let i(q) = -5*q + 102. Let o be i(20). Suppose -o*m = 6, -m + 139 = 5*f - 3*f. What is the remainder when f is divided by 90/25*(-10)/(-2)?
17
Suppose -3*i + 2368 = -2*z, -6*z + 3148 = 4*i - 4*z. Calculate the remainder when i is divided by 68.
40
Let q(l) = l**3 + 6*l**2 - 6*l - 13. Let y be q(-7). What is the remainder when 1248/36 + 2/6 is divided by (-9 - -8) + y/(-1)?
16
Let o = -45 - -38. Let v = -3 - o. Let a(n) = n**2 + 5*n + 5. What is the remainder when v is divided by a(-4)?
0
Suppose -5*s + 24 + 11 = 0. Suppose -35 = -v - s. Calculate the remainder when 81 is divided by v.
25
Let o(p) = 7*p - 12. Let f(b) = -35*b + 58. Let j(y) = -2*f(y) - 11*o(y). What is the remainder when j(-5) is divided by 19?
13
Let s = 391 + -391. Suppose 2*a - 5*y = -3*y + 60, s = y. Calculate the remainder when 174 is divided by a.
24
Suppose 0 = -14*n + 280 - 28. Let d be 16/9 + (-2)/(-9). Let o(t) = -t**3 + 5*t**2 - 2*t + 3. What is the remainder when n is divided by o(d)?
7
Let g(j) = -j**2 + 0*j**2 + 2*j - 4 + 5*j + 2*j**2. Let t be g(-15). Suppose -5*y + 34 = -t. Calculate the remainder when 87 is divided by y.
27
Let d(a) = -27*a - 389. Let x be d(-40). Suppose 33*s - x = 200. What is the remainder when 34 is divided by s?
7
Let f(p) = 10*p + 60. Let g be f(-22). Suppose -z + 66 = 4*w + 7, 0 = -3*z + 2*w + 121. Calculate the remainder when z is divided by 2/6 + g/(-15).
10
Let m(b) = b - 14. Let y be m(16). Let z be (-5)/y*30/(-25). What is the remainder when 10 is divided by z + (3 + -3)*2/6?
1
Suppose -159*i + 2091 = -8880. What is the remainder when 91 is divided by i?
22
Suppose -14*r + 5*r - 54 = 0. Calculate the remainder when (-166 + 4)/r - -4 is divided by 13.
5
Let f = 6 - -1. Let m(x) = 23*x - 33. Let j be m(7). Suppose 4*q = 4*z - j, -4*q = z + q - 44. What is the remainder when z is divided by f?
6
What is the remainder when (-1)/(((-1)/(-433))/(-16 - -15)) is divided by 38?
15
Let u = 114 + -63. Suppose 4*x = -2*m - x + 78, 3*m - 83 = x. Calculate the remainder when u is divided by m.
22
Let h(d) = -d**3 - 28*d**2 - 165*d - 14. Calculate the remainder when 758 is divided by h(-6).
22
Let k = -1143 + 1838. Calculate the remainder when k is divided by 86.
7
Suppose 4*v - 1371 = -5*i, -v = 64*i - 65*i - 336. Calculate the remainder when 25081 is divided by v.
334
Suppose -3*t + 250 + 149 = 0. Let f(p) = -22*p - 10. Let l = 200 + -202. Calculate the remainder when t is divided by f(l).
31
Suppose -t - 2*t = -132. Let v(j) = -19*j**2 + 104*j + 408. What is the remainder when t is divided by v(8)?
20
Let k = -1522 + 1880. Calculate the remainder when k is divided by 3 + -6 - (-51 - -3).
43
Let a be (-47)/(-3) + (-24)/36. Suppose -3*w + 628 = 17*l - a*l, w - 2 = 0. Calculate the remainder when l is divided by 35.
31
Suppose 120 = 2*y - 4*b, 4 = 5*b - 11. Calculate the remainder when y is divided by (20 - -7) + 21/(-7).
18
Let u = 35 + -33. Suppose -u*j + 7*j = 5*y - 755, -3*j - 757 = -5*y. Let a(i) = -i**3 - 4*i**2 + 6. Calculate t