 -4*h. Calculate the remainder when y is divided by 23.
19
Let v = -28 - -31. Suppose v*b = 5*b - 6. What is the remainder when 11 is divided by b?
2
Let b = 66 - 63. Suppose 5*n - 10*n + 63 = -b*x, 0 = 3*n - x - 37. Calculate the remainder when 33 is divided by n.
9
Suppose -4*g - g = -15. Suppose j = 2*q + g*j - 64, q + 5*j = 20. Let r(b) = 15*b - 6. Calculate the remainder when q is divided by r(1).
8
Suppose 4*p - 681 = -5*s, 2*s + 2*p - 270 = p. What is the remainder when s is divided by 17?
14
Let z(h) = 30*h + 77. Calculate the remainder when z(9) is divided by 50.
47
Let b = 7 + -2. Let d(g) = -4*g - 10. Let m be (46/(-6) - -3) + 6/9. Calculate the remainder when d(m) is divided by b.
1
Let a(y) = -11*y + 125. Calculate the remainder when 105 is divided by a(6).
46
Let g(h) = -h**3 - 5*h**2 + 3*h - 3. Let q be g(-5). Let x = -203 + 210. What is the remainder when (-4)/18 - 220/q is divided by x?
5
Let c(k) = -k**3 - k**2 + 73*k + 8. Calculate the remainder when 98 is divided by c(8).
2
Let d(a) = 2*a**2 - 56*a - 50. Let r be d(30). Suppose -4*c + r = 3*w, -2*w + c + 19 = -24. Let g = 10 + 75. What is the remainder when g is divided by w?
19
Let c(i) = -i**2 - 5*i + 2. Let s(z) be the third derivative of z**4/12 + 7*z**3/6 + 7*z**2. Let u be s(-6). What is the remainder when 2 is divided by c(u)?
0
Suppose -14 = 61*m - 68*m. Suppose 3*l - 3*c = -2*l + 32, -c + 8 = l. Calculate the remainder when l is divided by m.
1
Let d(c) = c**3 - 3*c**2 - 17*c + 13. Calculate the remainder when d(7) is divided by 31.
28
Suppose -104 = -41*f + 142. What is the remainder when 352 is divided by f?
4
What is the remainder when (-6)/9*(-2)/4*489 is divided by 23?
2
Suppose -17 = 2*p - 135. Calculate the remainder when p is divided by 35.
24
Let r(x) = -x**2 - 46*x - 359. Calculate the remainder when 163 is divided by r(-35).
7
Suppose 5*q = -4*w + w + 37, -4 = -w. Let y = q - 19. Let r = y + 22. What is the remainder when 29 is divided by r?
5
Let a(t) = 2*t**2 + 16*t + 22. Let l be a(-12). Suppose 0*r - r + l = 2*c, -3*r + 238 = 4*c. What is the remainder when c is divided by (-9)/(-15) - (-72)/5?
13
Let p be (-8 - 1 - -1)*(-4)/8. Calculate the remainder when (((-112)/(-35))/p)/((-1)/(-65)) is divided by 11.
8
Suppose j - 1932 = -62*w + 57*w, w + j = 388. What is the remainder when w is divided by 99?
89
Let j(z) = 24*z + 51. Calculate the remainder when j(0) is divided by 14.
9
Let q = -43 + 66. Suppose 0 = -7*g + 4*g + 336. Calculate the remainder when g is divided by q.
20
Let f = -768 + 777. What is the remainder when f is divided by 6?
3
Suppose 39 + 51 = w. Let m(z) = z**3 + 5*z**2 - z - 10. Let q be m(-3). Calculate the remainder when w is divided by (154/(-49))/q + (-163)/(-7).
21
Let t = 25 + -13. Let u(p) = -p**3 - 4*p**2 - p + 2. Let v be u(-3). Let w = v + t. Calculate the remainder when 30 is divided by w.
6
Let j = -79 - 13. What is the remainder when j*(20/8)/(-5) is divided by (-32)/6*3/(-1)?
14
Calculate the remainder when (171/15)/(6/30) is divided by 6.
3
Let u(j) = -2*j + 29. Let y be u(0). Suppose -2*s + 2 = k - y, 5*k - 65 = -4*s. Suppose f - 52 = -f. Calculate the remainder when f is divided by s.
11
Let v(j) = 30*j - 61. Calculate the remainder when 116 is divided by v(4).
57
Let a = -67 - -79. Calculate the remainder when (-152)/(-6)*a/8 is divided by 20.
18
Let w = 220 - 80. Let y = 35 + -57. Let t = w + y. Calculate the remainder when t is divided by 30.
28
Let b = 61 + 66. Let m = -9 + b. What is the remainder when m is divided by 30?
28
Suppose 3*y + 46 = -4*j + 211, -y - 5 = 0. What is the remainder when 172 is divided by j?
37
Let a(j) = -2*j + 26. Let m be a(4). What is the remainder when 174 is divided by ((-236)/12)/((-6)/m)?
56
Suppose 0 = l + 4*l - 10. Suppose l*p + 3*p = 60. What is the remainder when 6/10 - 2951/(-65) is divided by p?
10
Let c(j) = 2*j + 4 + 0 - j**3 + 10 - 3*j. Calculate the remainder when 92 is divided by c(0).
8
Suppose 0 = -39*p + 35*p + 376. What is the remainder when 362 is divided by p?
80
Suppose q = -d + 32 + 38, 3*d = -15. What is the remainder when 360 is divided by q?
60
Let p(i) = -i**2 + 11. Suppose -a + 4 = -g + 8, -2*g = -3*a - 10. Calculate the remainder when (8 - 6)/(g/30) is divided by p(0).
8
Suppose -671*p + 667*p = -16. Calculate the remainder when 119 is divided by p.
3
Suppose -27*z - 14*z + 8446 = 0. What is the remainder when z is divided by 69?
68
Let o = 24 - 19. Let m be 1/(((-5)/46)/(-5)). Suppose 3*z + 10 - m = 0. Calculate the remainder when z is divided by o.
2
Let g = 279 - 273. What is the remainder when 112 is divided by g?
4
Let r be (-36)/(-5)*15/(-2). Suppose -5*d = -3*g + 7, 3*d + 2*g - 10 = d. What is the remainder when (-25)/(-9) - 12/r is divided by d?
0
Let w(y) = -y**2 + 61*y + 486. Calculate the remainder when 33 is divided by w(-7).
3
Let s = 194 + 70. Calculate the remainder when (-2)/(4/s*-3) is divided by 10.
4
Let l(d) = -d**2 - 3*d - 1. Let g be l(-3). Calculate the remainder when g - (-8)/2 - (3 - 71) is divided by 8.
7
Let g = -354 - -399. What is the remainder when 75 is divided by g?
30
Let c(o) = -o**2 + 10*o + 10. What is the remainder when 108 is divided by c(10)?
8
Suppose -2*m = -0*m - 34. Suppose 14 = 4*l - 14. Let t = 12 - l. What is the remainder when m is divided by t?
2
Suppose -3*a = -5*q + 83, 2*a + 2*q + 0*q = -34. Calculate the remainder when 28 is divided by (-1)/3 + (-322)/a.
13
Suppose 2*w = k - 28, -3*k - w = -20 - 36. Let y = 29 + -19. Let c = k - y. What is the remainder when c is divided by 4?
2
Suppose 4 = -36*m + 38*m. Suppose -m*a + q = -27, q = -2*a + 6*q + 47. Calculate the remainder when a is divided by 4.
3
Suppose 0 = 4*p - 70 - 114. What is the remainder when 180 is divided by p?
42
Suppose -980*h = -970*h - 2450. Calculate the remainder when h is divided by 63.
56
Suppose 2*a = 29 + 3. Let j(g) = 0*g + 4*g - a*g**2 - 7 + 17*g**2. What is the remainder when j(-9) is divided by 13?
12
Suppose -2*v + 134 = 2*a, 0 = 2*a + 9*v - 14*v - 127. Calculate the remainder when 262 is divided by a.
64
Let n = 61 + 20. What is the remainder when n is divided by 17?
13
Suppose -3*t = -4*s - 377 - 158, 2*t - 355 = 3*s. What is the remainder when t is divided by 33?
20
Let i(b) = -4*b - 20. What is the remainder when 218 is divided by i(-9)?
10
Let y = -169 + 312. Suppose 16*f = 21*f + 5*a - 130, 3*f = -a + 74. Calculate the remainder when y is divided by f.
23
Let j = -199 - -204. Calculate the remainder when 148 is divided by j.
3
Let l(d) = -15*d - 77. Let m = 208 - 144. What is the remainder when m is divided by l(-6)?
12
Let u = -945 - -1030. What is the remainder when 335 is divided by u?
80
Let a = -109 + 185. Suppose 0 = -3*o + a - 22. Calculate the remainder when (-3)/o + 295/6 is divided by 13.
10
Suppose 17*n - 8 = 13*n. What is the remainder when 20 is divided by n?
0
Suppose -10*s + 2 = -9*s. Let n = -8 + 11. Calculate the remainder when n is divided by s.
1
Suppose -59 = -2*p + 3*j - 28, 4*p - 117 = -5*j. Calculate the remainder when 43 is divided by p.
20
Suppose 5*v - 10 = -50. Let i(t) = -4 + 5 + 1 - 4*t. Calculate the remainder when i(v) is divided by 9.
7
Suppose q - x - 50 = 0, 9*q - 4*q = -3*x + 218. What is the remainder when q is divided by 8?
6
Let w = 213 - 145. Calculate the remainder when w is divided by 18.
14
Let r(i) = 2*i**2 + 29*i - 9. Let c be r(-5). Let k = 108 + c. Calculate the remainder when 26 is divided by k.
2
Let b = 1011 + -1004. Calculate the remainder when 692 is divided by b.
6
Suppose 3*x + 0 = -9. What is the remainder when 44 is divided by ((-12)/x)/(-4) + (-34)/(-2)?
12
Let o(x) = x**2 - 4. Let s be o(3). Suppose s*t + 1 = 56. What is the remainder when 32 is divided by t?
10
Let q = 1568 + -1395. Calculate the remainder when 1033 is divided by q.
168
Let j(y) = -11*y - 15. Calculate the remainder when 93 is divided by j(-5).
13
Let y = 204 + -181. What is the remainder when 41 is divided by y?
18
Let o(x) = -x**2 + 6*x + 2. Let i be o(6). What is the remainder when (-35)/i*(-12)/5 is divided by -3*(-20)/12*3?
12
Let z(h) = 8*h + 3. Calculate the remainder when 82 is divided by z(5).
39
Suppose f = s - 227, 0*f - 681 = -3*s + f. Calculate the remainder when s is divided by 21.
1