e the remainder when 189 is divided by (5 - f/(-9))/((-1)/16).
13
Suppose 707*c + 193 = 13626. Suppose -4*j = 5*b - 16, -2*b + 2*j + 9 = j. Let w = b - -51. What is the remainder when w is divided by c?
17
Suppose -59*d - 499 + 2741 = 0. Calculate the remainder when 163 is divided by d.
11
Calculate the remainder when 2599 is divided by (-64)/176 + 28484/44.
11
Suppose -4*u + 560 = 2*t - 2390, 0 = 4*u - 5*t - 2999. Calculate the remainder when 759 is divided by u.
18
Let p(y) = 287*y + 5896. What is the remainder when 525 is divided by p(-20)?
57
Suppose -3*j - 6679 = -5*v, -2*j = -5*v + 7*j + 6667. What is the remainder when v is divided by 96?
89
Let m(u) = 2*u**2 + 92*u + 331. What is the remainder when 541 is divided by m(-43)?
30
Let a(c) = 3*c**2 - 35*c + 28. What is the remainder when a(-8) is divided by 52?
32
Suppose 2*v + 198 = 3*p + 168, -30 = -5*v. What is the remainder when 4160 is divided by p?
2
Let s(p) = 8*p**2 - 27*p - 5. What is the remainder when s(-6) is divided by 76?
65
Let v(w) = -w + 23. Let i be (-902)/(-33)*((-5)/(-2) + -1). Let j = i - 20. Calculate the remainder when v(-16) is divided by j.
18
Let h be 34 - 10*(-10)/(-20). Suppose 3*w - z = 169, -2*z - 52 = 3*w - 218. Let f = w - h. Calculate the remainder when 51 is divided by f.
24
Let x(w) = 9*w**2 + 5*w - 2. Let l(r) = -r**2 + 11. Let g be l(-3). What is the remainder when x(g) is divided by 7?
2
Let u(y) = y**3 - 227*y**2 + 676*y - 893. Let x(v) = v**3 - 2*v**2 + 2. Calculate the remainder when u(224) is divided by x(2).
1
Let k = 276 + 181. What is the remainder when k is divided by (-2*((-3)/(-2) - 0))/((-3)/27)?
25
Let a be 71 + -1 + ((-48)/4)/6. Let z = a + -58. What is the remainder when (7/(-14))/(2/(-132)) is divided by z?
3
Let u(b) be the first derivative of -b**4/4 - 5*b**3/3 + 11*b**2 - 10*b - 3. Suppose 6*f - 160 = 26*f. What is the remainder when 23 is divided by u(f)?
5
Suppose 3*v - 38*u = -34*u + 525, -4*v - 3*u = -650. What is the remainder when 595 is divided by v?
94
Suppose 5*i = 3*v + 224 - 150, 3*i + 5*v = 58. Calculate the remainder when 4510 is divided by i.
14
Suppose 3*r - 116*u - 24 = -112*u, 0 = -6*r - 2*u + 48. Suppose 3*o - 6*w = -w + 57, -2*o - w + 25 = 0. What is the remainder when o is divided by r?
6
Suppose -11*s + 9*s - 166 = 0. Let l = -77 - s. Let x(u) = 5*u**2 - 28*u + 9. What is the remainder when 83 is divided by x(l)?
20
Let u be (60/14)/(31/(-217)). Let p(s) = -s**3 - 28*s**2 + 57*s - 25. Calculate the remainder when 192 is divided by p(u).
62
Let k(c) = -c**3 + 8*c**2 - 3*c - 6. Suppose -22 = 8*t + 18. What is the remainder when 821/13 + t + (-315)/(-65) is divided by k(7)?
19
Let q(u) = -17*u**3 - 3*u**2 - 10*u - 12. Let w be q(-4). Suppose 20*t - 16*t - w = 0. What is the remainder when t is divided by 18?
15
Suppose -5*o + 3*j - 19 = 22, -3*j = -3*o - 21. Let h = 13 - o. Calculate the remainder when h is divided by (-8)/(3/(-9) + (-16)/24).
7
Suppose 3*s + 3*x - 198 = 0, 149 = 4*s - x - 125. Suppose 588 - 939 = -9*o. Calculate the remainder when s is divided by o.
29
Suppose -65 = -4*o + 5*d, 5*o = -2*d + 23 + 17. Let l(q) = 25*q - 216. Calculate the remainder when l(o) is divided by 1*-2 - (-1 + -15).
6
Let q = -287 - -287. Suppose -67*z + 64*z + 108 = q. Calculate the remainder when 110 is divided by z.
2
Let q(b) = 15*b**2 - 38*b - 9. What is the remainder when 418 is divided by q(3)?
10
Let n be 4*(-1)/(-6) + (-3201)/(-99). Suppose -n = -9*p + 3. What is the remainder when 14 is divided by p?
2
Suppose -221*f - 60521 = -189806. What is the remainder when f is divided by 49?
46
Let r be 0 + 2 + 0/10. Suppose -84 = -4*a + r*f, 0 = -4*a + f + 111 - 31. Calculate the remainder when (-60188)/(-656) - 5/(-4) is divided by a.
17
Calculate the remainder when ((-214)/10)/(56/(-280)) is divided by 31.
14
Let z(i) = -6*i - 35. Let f be z(-6). Let a be 2/(-5) + 51/15*f. Suppose -2*t = -a*u + 54, 0 = -u - 4*t + 4. Calculate the remainder when 76 is divided by u.
12
Let c = -2309 - -3451. Calculate the remainder when c is divided by 31.
26
Let h(b) = -1852*b - 567. What is the remainder when h(-3) is divided by 52?
49
Suppose 3159 - 495 = 72*b. What is the remainder when 112 is divided by b?
1
Let j(l) = -l**2 + 12*l - 20. Let n be j(9). Let y = 3 + 0. Calculate the remainder when (n/(7/(-4)))/((-13)/52) is divided by y.
1
Calculate the remainder when (-85752)/(-20) - (-81)/(-135) is divided by 5.
2
Let o = -31 + 47. Let w = o + -12. Suppose 23 = 3*n - q, w*n + q = 4*q + 24. What is the remainder when n is divided by 4?
1
Let y(b) = 91*b + 5878. What is the remainder when y(37) is divided by 46?
45
Suppose 3*y + 17 = 491. What is the remainder when y is divided by 45 + (-72)/(12 - -6)?
35
Let z(j) = -15*j - 352. What is the remainder when 407 is divided by z(-32)?
23
Let t(y) = 6*y + 62. Suppose 4*j = 3*v + 12, j = -4*j - 3*v - 12. Calculate the remainder when t(j) is divided by 14.
6
Let c(r) = -r**2 - 7*r + 6. Suppose 0 = 5*y + 2*w - 19, 5*y - 7 = -0*w + 4*w. Suppose -y*t + 184 = 43. Calculate the remainder when t is divided by c(-6).
11
Let a = -323 + 937. What is the remainder when a is divided by 209?
196
Suppose -4*u + u = 3*k - 4722, -3*k + 4720 = 5*u. Suppose 4*v - 9*v = -k. Suppose -v = -5*l + 2*l. What is the remainder when l is divided by 27?
24
Suppose 0 = -21*b + 22*b - 129. What is the remainder when b is divided by (-6)/(78/(-533)) + 8?
31
Suppose 317*j + 1244 = 939*j. Let b = 21 - -6. Calculate the remainder when b is divided by j.
1
Let q(y) = y + 24. Let x(i) = -14903*i + 119414. What is the remainder when x(8) is divided by q(0)?
22
Let z(g) = g**3 - 52*g**2 + 62*g - 86. Let j be z(51). Let y = 479 - j. What is the remainder when 46 is divided by y?
2
Let z be (10/(-6))/((-16)/((-240)/5)). What is the remainder when 197 is divided by (-4 + 28 - -2 - z) + 5?
17
Let s(j) = -2*j**3 - 5*j**2 + 138*j + 515. What is the remainder when 1093 is divided by s(-4)?
4
Let r(h) = h**3 - 13*h**2 + 15*h - 30. Let k be r(12). Suppose -n + 10 + k = 0. Suppose 0 = 3*q - q - n. What is the remainder when 53 is divided by q?
5
Let t(h) = h**3 - 36*h**2 - 389*h + 14. What is the remainder when t(45) is divided by 229?
47
Suppose 0 = -16*s + 6*s + 3150. Let o = -169 + s. Calculate the remainder when o is divided by 25.
21
Let g(y) be the second derivative of 5*y - 23/2*y**3 - 2*y**2 + 0. What is the remainder when g(-1) is divided by 17?
14
Let k(j) = -j**2 - 15*j + 30. Let m(i) = -i + 1. Let b(o) = k(o) + 2*m(o). Calculate the remainder when b(-14) is divided by (-1 - 3/6)*-10.
14
Suppose 0 = -5*n - 5, -2*n + 4 = 2*u - 2. Suppose -a + 60 = u*a. Suppose -2*o + 17 = -41. What is the remainder when o is divided by a?
5
Let g = 73 - 157. Let d = g - -102. Suppose 0 = p - 2*y - 83, p - y = 102 - d. Calculate the remainder when p is divided by 43.
42
Suppose 164 = 10*k + 24. Suppose -k*l - 266 = -28*l. Calculate the remainder when 146 is divided by l.
13
Suppose 3741 = -162*m + 205*m. Calculate the remainder when 1211 is divided by m.
80
Suppose 3*y = -5*z + 344, -5*z = -2*y + 3*y - 348. Suppose 52*u = 54*u - z. Calculate the remainder when 102 is divided by u.
32
Let w(u) = u**2 - 3*u - 10. Let x(t) = -t**2 - 36*t + 410. Calculate the remainder when w(8) is divided by x(-45).
0
Let v be (-7 - (-90)/10)/(2/(-153)). Let l = -131 - v. Calculate the remainder when 57 is divided by l.
13
Suppose 11*u + 2*t + 35 = 12*u, t = -2*u + 65. What is the remainder when 762 is divided by u?
3
Let v = 20 - -68. Suppose 0 = 769*g - 420*g - 6282. Calculate the remainder when v is divided by g.
16
Let x = 823 + -757. Calculate the remainder when 71 is divided by x.
5
Suppose -30 = -5*w, 33*w = -4*i + 34*w + 286. Calculate the remainder when 14010 is divided by i.
67
Suppose -9*b = -12*b + 84. Suppose m - 3 + 1 = 0. Suppose -m*u + b - 4 = 0. What is the remainder when 21 is divided by u?
9
Suppose 0 = 3*w + 2*d - d - 386, 5*w = -d + 644. Suppose -29*l + 4*o = -27*l - 66, o = -6. What is the remainder when w is divided by l?
3
Suppose -4*c - 16 = 0, -5*t + 53 = -2*c + 5*c. Suppose -589*l - 5580 = -682*l. Calculate the remainder when l is divided by t.
8
Calculate the remainder when (-5)/5 - 5/((-45)/4293) is divided by 32.
28
Calculate the remain