3*r + w. What is the remainder when b(5) is divided by r?
19
Suppose p + 156 = 20*r - 17*r, 267 = 5*r - 4*p. Calculate the remainder when r is divided by 17.
0
Let c = 235 - 233. Suppose -16 = 4*t, -5*g - c*t + 35 = -7*t. Calculate the remainder when 3 is divided by g.
0
Suppose 0 = -l - 4*f + 386, -3*l + 6*f = 11*f - 1179. Calculate the remainder when l is divided by 15.
8
Let g(o) = o**2 + 1. Let t(q) = 12*q**2 - q + 36. Let r(s) = -4*g(s) + t(s). Calculate the remainder when r(0) is divided by 7.
4
What is the remainder when 218/(-1 + (-48)/(-45)) - (68 + -77) is divided by 53?
46
Suppose 1 = -4*f + 2*x + 25, 0 = -5*f + 2*x + 28. Suppose 2*q + n - 57 = 0, 16 = f*n + 4. What is the remainder when 213 is divided by q?
24
Let d(k) = 136*k - 5643. Suppose 452 = z - 27. Calculate the remainder when z is divided by d(42).
65
Suppose 5*n - 17 = 4*d, 10*n - 11*n + 3 = -d. Calculate the remainder when 1288 is divided by n.
3
Let r be ((-8)/(-6))/((-8)/12*-1). Let c be (5/(-2))/(r*2/(-104)). Suppose 6*w = 31 + c. Calculate the remainder when 60 is divided by w.
12
Let r = -64 - -112. Calculate the remainder when (4/(-10))/((-10)/500) is divided by ((-36)/r)/(2/(-8)).
2
Suppose -4*y + 2 + 2 = q, -5*y - 100 = -4*q. What is the remainder when 1737 is divided by q?
17
Let q(f) = -f**2 + 15*f - 24. Let l be q(16). What is the remainder when (-1765)/l + (-2)/16 is divided by 35?
9
Let x be (-3 - (-1 + 82))*42/8. Let a = 519 + x. What is the remainder when a is divided by 9?
6
Suppose 0 = -146*v + 7642 - 230 + 5436. Calculate the remainder when 511 is divided by v.
71
Calculate the remainder when (-13)/(13/(-672)) + 13/((-117)/54) is divided by 153.
54
Let t = -3579 + 4320. Calculate the remainder when t is divided by 270.
201
Calculate the remainder when 664 is divided by ((-1280)/(-144))/(-6*(-3)/81).
24
Let g = 9773 - 3751. Calculate the remainder when g is divided by 12.
10
Let m(l) = 9*l**2 + 134*l - 64. Calculate the remainder when m(-20) is divided by 24.
16
Suppose 7*t - 9*t = -33*t. Suppose t*f = 2*f - 4*l - 66, 0 = -4*f + 4*l + 112. Let z = 28 + -15. Calculate the remainder when f is divided by z.
10
Suppose 93*m - 91*m - 296 = 0. Let f = m + -96. Let o = f + -25. Calculate the remainder when o is divided by 16.
11
Let t = -30898 + 30933. Suppose q - 133 = 179. Suppose 2*s = 5*s - q. What is the remainder when s is divided by t?
34
Suppose 0 = 4*o + 4*s - 48, -o - 52 + 64 = -s. What is the remainder when 38 is divided by o?
2
Suppose -2*k - 1100 = -4*b, 5*b - 819*k + 816*k = 1373. What is the remainder when 1318 is divided by b?
210
Suppose -4*k - 3*j + 457 = 0, k = -3*j - 18 + 139. Suppose -2*h - 146 = -7*h + y, 4*h - 2*y = k. Calculate the remainder when 141 is divided by h.
21
Let a be (-4)/(-8)*(-2 - 2). Suppose 0*p - p = -21. What is the remainder when p is divided by 4*a/(-16)*18 + 3?
9
Let s = -57 + 30. Let i be 4/18 - 20676/s. What is the remainder when i/10 + ((-36)/10 - -4) is divided by 10?
7
Let a = 42 + -8. Suppose -5*z - 66 - a = 0. Calculate the remainder when (-2 + z/(-12))/((-1)/81) is divided by 10.
7
Let d(j) = 133*j + 3175. What is the remainder when d(-22) is divided by 14?
11
Let d = 11 - 2. Let b(q) = -q**3 - 15*q**2 - 17*q - 23. Let r be b(-14). Let g = r - d. Calculate the remainder when 18 is divided by g.
8
Let o = 437 - 170. Suppose 0 = -14*x + 35 + 721. Calculate the remainder when o is divided by x.
51
Suppose 3*y = 3*v - 3, -3*y + 13 = 4*v - 5. Suppose 0*w - 185 = -5*w. Calculate the remainder when w is divided by y.
1
Suppose -65090 = 58686*h - 58696*h. What is the remainder when h is divided by 70?
69
Suppose -g - 28 = -3*y - 2*y, 40 = 5*y + 5*g. Suppose 9*d + 16 = 13*d. Suppose 3*k - 12 = 3*v, -d*k = 9*v - 5*v. Calculate the remainder when y is divided by k.
0
Suppose -50*k = -168*k - 32*k + 11550. What is the remainder when 461 is divided by k?
76
Let s = -6662 + 6721. What is the remainder when 331 is divided by s?
36
Suppose 14*r + 400 = -90. Let a be (-1*(-8)/5)/(7/r). Let u = a + 32. What is the remainder when u is divided by 9?
6
Let c = -180 + 179. What is the remainder when ((-165)/(-22))/(4/(-24)*c) is divided by 4?
1
What is the remainder when (1810/(-6) + 1)/(15 + (-3842)/255) is divided by 15?
10
Let p = -10281 - -12788. Calculate the remainder when p is divided by 501.
2
Let d = -268 - -572. Suppose d = 5*l - u, -4*l + 3*u - 92 = -333. Calculate the remainder when l is divided by 14.
5
What is the remainder when ((-12)/15)/(3/(-90))*(15 - 11) is divided by 36?
24
Suppose -j = -4*j + 33. Let f be 0 - 1838/(-4) - 45/30. Let s = -426 + f. What is the remainder when s is divided by j?
10
Let h(p) = 38*p - 2832. Suppose 4*n - 208 = -4*v, -5*n + n + 211 = 5*v. What is the remainder when n is divided by h(75)?
13
Let f(s) = -48*s + 8. Suppose -13 = -o - 19. What is the remainder when f(o) is divided by 30?
26
Let z = -174 + 169. What is the remainder when z/1 + (2300/5 - -2) is divided by 20?
17
Suppose -5*r = 3*p - 258, -p = 79*r - 75*r - 121. Suppose 0 = -4*q + 17 - 1. Calculate the remainder when p is divided by q.
1
Suppose -396 = 10*t + 274. Let q = t + 130. What is the remainder when q is divided by 13?
11
Let i(k) = -k**2 - 6*k - 3. Let g be i(-5). Let m(z) = -3*z**3 - 62*z**2 + 20*z + 2. Calculate the remainder when m(-21) is divided by g*3/(-6)*-13.
10
Let x be 21/(-9) + -4*4/24. Let o(w) = 7*w**2 - 3*w + 8. What is the remainder when o(x) is divided by 22?
14
Suppose 4*m + 102*u = 97*u + 3349, -2*m - 2*u + 1672 = 0. What is the remainder when m is divided by 167?
163
What is the remainder when 452 is divided by (-23)/115 - 3*2/(40/(-1468))?
12
Let h = -35 - -35. Suppose h*j = -t - 5*j - 24, 2*j + 5 = -5*t. What is the remainder when 6 is divided by t?
0
Let l(u) = 4*u - 1. Let y(w) = -1. Let c(a) = -l(a) - 4*y(a). Calculate the remainder when 99 is divided by c(-12).
46
Suppose 191 = -2*y - 3*p, -2*p = -4*y - 256 - 86. Let d = 62 + y. Let j = d + 64. What is the remainder when j is divided by 10?
8
Calculate the remainder when 105/(-42)*-294 + (1 - -5) is divided by 16.
5
Suppose -2*o = -3*s - 189 - 178, 4*o = -2*s + 742. What is the remainder when 434 is divided by o?
64
Let y = 305 - 273. Suppose 12*p - y = 8*p. What is the remainder when 134 is divided by p?
6
Let t be -236*(-1)/4*2. Let q be (-1 + 0)/((-18)/1782). Let p = t - q. What is the remainder when p is divided by 7?
5
What is the remainder when 180 is divided by (-12 - 266/(-21)) + (-1928)/(-24)?
18
Let a = 738 - 520. Let s = 1044 + -1024. What is the remainder when a is divided by s?
18
Let l = 110 + -76. Calculate the remainder when ((-2)/(-3))/(8/14100*5) is divided by l.
31
Let a = -1 + 98. Let q(b) = 3*b**3 - 31*b**2 - b + 144. What is the remainder when a is divided by q(10)?
29
Let c(p) = p**2 - 2*p - 14. Suppose -8*q - 51 = 9*q. Let n(u) = 11*u**2 + 3*u + 9. Calculate the remainder when n(q) is divided by c(-6).
31
Let h = 21155 - 21128. Suppose -159 - 71 = -3*c + 5*w, 0 = 5*w + 5. What is the remainder when c is divided by h?
21
Let r(v) = v**2 - 22*v - 17. Let g be r(23). Suppose -4*p - 3*s = -g*s - 78, -3*p + 60 = -3*s. What is the remainder when 62 is divided by p?
8
Suppose -250*x + 1923 = -171*x - 1474. Calculate the remainder when 1848 is divided by x.
42
Suppose 50*s = 5361 + 4139. Let l = -111 + 159. Calculate the remainder when s is divided by l.
46
Suppose 103*x + z - 318 = 101*x, -z = -3*x + 477. Calculate the remainder when x is divided by 32.
31
Let f = -88 - -153. Suppose -14*c + 9*c - 4*r + 143 = 0, 3*r = -2*c + 67. What is the remainder when f is divided by c?
19
Let p(w) be the second derivative of -w**3/2 + 127*w**2/2 - 92*w. Calculate the remainder when p(0) is divided by 20.
7
Suppose 0 = -24*u - 18*u + 7*u + 1015. What is the remainder when 229 is divided by u?
26
Suppose 5*z = 3*p + 903, -p = 3*p - 3*z + 1204. Let v = p + 191. Let q = v - -166. What is the remainder when q is divided by 15?
11
Let p = -1088 - -1194. Calculate the remainder when 858 is divided by p.
10
Let p(i) = 52*i**2 + 2*i - 1. Let x(b) = 400*b + 3063. Calculate the remainder when x(-7) is divided by p(1).
51
Suppose -2*r + 12 = 5*p, 0 = -4*p - r + 9 - 0. Suppose -p*d + 4*l + 84 = 0, d = 4*d - 2*l - 122. What is the remainder when 