the remainder when p is divided by 23?
20
What is the remainder when 559 is divided by (-47)/22*-50 + (-476)/(-77) + -6?
24
Suppose 2*f = 4*z - 32, 2*f + 25 = 5*z - 13. What is the remainder when ((152/(-10))/4)/((-22)/110) is divided by z?
1
Let p = 11 - -43. Suppose 2*l + 5*r - p = 0, 5*l + 5*r = 10*r + 65. What is the remainder when 305 is divided by l?
16
Let j = -46 - -50. Suppose 3*d - 28 = -j*d. Calculate the remainder when 10 is divided by d.
2
Let d = -4649 + 5231. Calculate the remainder when d is divided by 13.
10
Let y(s) = s**3 - 5*s**2 + s - 4. Suppose -30*k + 35*k - 10 = 0. Calculate the remainder when y(6) is divided by k/6*1*117/3.
12
Suppose -5*b = 89*v - 94*v + 2380, -5*v + 3*b + 2396 = 0. What is the remainder when 1497 is divided by v?
45
Calculate the remainder when (-12)/6*3 - (-8 + 1 + -41983) is divided by 135.
134
Let v = 3104 + -2516. Calculate the remainder when 1186 is divided by v.
10
Let d be (99/5)/(12 - 585/50). Suppose -3*t - a + d = 0, 7*t + 37 = 9*t + 3*a. What is the remainder when 71 is divided by t?
2
Suppose -4*m + 107 + 1298 = 3*w, 20 = -4*w. What is the remainder when m is divided by 207?
148
Let r(y) = 2*y + 78. Suppose 0 = n - k - 42, 9*k + 128 = 3*n + 5*k. Calculate the remainder when n is divided by r(-19).
0
Let n = -116 - -134. Calculate the remainder when 390/n - -2 - (-2)/6 is divided by (-4)/((-36)/69) - (-4)/(-6).
3
Calculate the remainder when (-49136)/(-259) + 64/28 is divided by 100.
92
Let t(l) = l**3 + 12*l**2 + 49*l + 320. Calculate the remainder when 195 is divided by t(-8).
11
Suppose 160 = 4*k + 5*b, -5*k - b = -2*k - 131. Let t(h) = -h**2 + 24*h + 56. What is the remainder when t(17) is divided by k?
40
Suppose 162*i + 576 = 226*i. Calculate the remainder when 455 is divided by i.
5
Let i = 66531 + -66488. Suppose m + 622 = 5*q, -2*q + 6*m + 244 = 4*m. What is the remainder when q is divided by i?
39
Let o(m) = -52*m + 362. What is the remainder when o(-49) is divided by 28?
26
Let n = 241 + -239. Suppose -78 = -11*t - n*t. What is the remainder when 33 is divided by t?
3
Suppose 53*j = 2592 + 4934. What is the remainder when 480 is divided by j?
54
Suppose -b - 2 = -3*k, -2*b + 5*b - 5*k - 2 = 0. Suppose -m + 2*x + 30 = b*m, 4*m + x = 24. Calculate the remainder when 220 is divided by m.
4
Suppose 47 + 61 = 12*w. Suppose -w*b = -11*b + 462. Calculate the remainder when b is divided by 47.
43
Let d(o) = o**3 - 16*o**2 - 12*o - 63. Let z be (1 + (-20)/15)*(6 + -57). What is the remainder when 1362 is divided by d(z)?
20
Let s(f) = f**3 - 6*f**2 - 5. Let z be 140/(-8)*(14 + 4 + 2). Let y = -334 - z. What is the remainder when s(7) is divided by y?
12
Suppose 14*w = -24*w + 1406. Suppose 5*i = -c + 35, 41 + 41 = 2*c - 2*i. What is the remainder when w is divided by 150/c*(-8)/(-3)?
7
Let n = 115 + -72. Let o = n - 35. What is the remainder when 74 is divided by o?
2
Suppose -159 + 163 = 4*a. What is the remainder when a/(-3)*2 - (-114)/9 is divided by 5?
2
Let i(t) = -t - 2. Let a be i(0). Let j = a - -5. Let b(w) = w**3 - 52*w**2 - 2*w + 115. What is the remainder when b(52) is divided by j?
2
Let s(d) be the first derivative of 3*d**3 + 4*d**2 + 21*d - 102. Calculate the remainder when s(-3) is divided by 9.
6
Let a(n) = n**2 - 8*n + 9. Let p be a(8). Let b = p - 3. Let s(w) = w**3 - 16*w**2 + 16*w - 12. Calculate the remainder when b is divided by s(15).
0
Let j(v) = 135*v + 176. Calculate the remainder when j(1) is divided by 155.
1
Let f = -336 - -332. Suppose 0 = a - 5*m + 9, 0 = -a - 3*m - 28 - 5. Calculate the remainder when 18/a - (-2 - (-31)/f) is divided by 4.
1
Suppose -18*b + 13*b = -2*m - 7256, 4*b - 5*m = 5798. Calculate the remainder when b is divided by 164.
140
Let q(r) be the first derivative of 5*r**3/3 + r**2/2 + r + 3. Let g be q(-5). Suppose -g = -20*j + 9*j. Calculate the remainder when j is divided by 2.
1
Suppose -5*t - 19 = 2*j - 370, -j + 198 = -5*t. What is the remainder when 9149 is divided by j?
182
Let q = -50 - -49. What is the remainder when 768/40 + q/5 is divided by 33*((-7)/(-3) + -2)?
8
Suppose 0 = -10*r + 109 + 101. Let k = 16 + -11. Suppose 0 = -k*d - 82 + 907. What is the remainder when d is divided by r?
18
Suppose 137*n = -198*n + 81*n + 86106. What is the remainder when 1134 is divided by n?
117
Let n(h) = -h - 5. Let b be n(-8). Suppose 0*l + 10 = l - b*x, -5*l + x = -78. Let c(r) = -4*r + 62. What is the remainder when c(0) is divided by l?
14
What is the remainder when 254 is divided by (-4)/(-3) - 2 - ((-322)/42 + 4)?
2
Let q = -1367 + 1486. Calculate the remainder when q is divided by 18.
11
Suppose 2*s - s - 3*a = -3, 3*s + a - 1 = 0. Suppose s = 2*n, -12 = 5*q - 4*n - 152. Calculate the remainder when q is divided by 7.
0
Suppose -3*n = 4*g - 795, 121*n + 198 = g + 122*n. What is the remainder when g is divided by 122?
79
Let z(h) = -2*h - 201. Let y(v) = -v - 134. Let b(d) = 8*y(d) - 5*z(d). Let c be b(10). Let l = -44 - c. What is the remainder when 24 is divided by l?
0
Suppose 2*b - 371 = -s, -19*b + s = -15*b - 763. Let g(i) = 16*i - 3. What is the remainder when b is divided by g(2)?
15
Let y be (2 - 3)*-58 - (6 + -3). Suppose 2*l = -5*c + y, 4*l = 7*l - 5*c - 45. Calculate the remainder when 24 is divided by l.
4
Let w = -197 + 35. Let g = w - -168. What is the remainder when 46 is divided by g?
4
Let b be (-6*(4 - (-30)/(-4)))/((-72)/48). Let i be 0 + 0 + 4*-1. Let s = i - b. Calculate the remainder when 39 is divided by s.
9
Let a = 145611 + -145481. Suppose 38 = 2*v - 6. What is the remainder when a is divided by v?
20
Suppose o = 6 + 5. Suppose o - 20 = 3*w. What is the remainder when 23 is divided by w/(-9)*-1 + (-19)/(-3)?
5
Suppose -18*n + 14*n + 13494 = -4274. What is the remainder when n is divided by 2220?
2
Let w = 12934 - 12836. What is the remainder when 2630 is divided by w?
82
Let z = 1470 - -5282. What is the remainder when z is divided by 35?
32
Suppose 0 = -6*c - 699 + 975. What is the remainder when c is divided by 0 + 3 + (-3 - -5)?
1
Let h be (2 + -2)*1 + 3. Let y(l) = 2*l + 1. Suppose -3*t = 2*a - 20 - 23, -31 = -3*t - 5*a. What is the remainder when t is divided by y(h)?
3
Let n(l) = -l**3 + l**2 - l + 22. Let i be (-1874)/(-8) + 9/36*-1. Suppose 218 = -4*q + i. Calculate the remainder when n(0) is divided by q.
2
Suppose -569*u = -564*u + 1360. Let y = -250 - u. Calculate the remainder when 63 is divided by y.
19
Let q(x) = x**3 - 29*x**2 + 58*x - 40. Suppose 2*b - 2 = -o, 2*b + 3*b = -5*o + 35. Calculate the remainder when q(27) is divided by o.
8
Let g(w) = w**2 + 79*w - 436. What is the remainder when 128 is divided by g(-85)?
54
Let u(s) = -s**2 - 238*s - 922. Let c(r) = r**2 + 6*r - 3. Let a be c(5). Let z = -15 + a. What is the remainder when z is divided by u(-4)?
9
Let p(s) = 78*s**2 - 17. Let g be p(-3). Suppose -5*v - 2*b + 4*b + g = 0, v + 3*b - 137 = 0. What is the remainder when v is divided by 70?
67
Suppose -8*y = 105*y - 14803. What is the remainder when y is divided by 3?
2
Let y = 2132 + -2127. Suppose -3*u + 23 = 3*q - 112, -4*q = -2*u + 66. Suppose v = -y*o + u, -v = -6*v - o + 205. What is the remainder when v is divided by 11?
8
Let u be 180/40*4/6. Suppose u*o + 72 = 333. Suppose -5*h - 3*z + o = 0, 0 = h + 2*h + 5*z - 65. Calculate the remainder when h is divided by 9.
6
Let w = 3916 + -3478. Calculate the remainder when w is divided by 397.
41
Suppose -d = -4*u + 52, 4*u - 4*d - 74 + 10 = 0. Let j = -27 + u. Let o(w) = -w**3 - 16*w**2 - 17*w - 19. Calculate the remainder when 20 is divided by o(j).
9
Let m be (-6 - (-170)/25)*20. Suppose -2*c - 12 = -3*c. Calculate the remainder when c is divided by 2/m*-2 - (-45)/4.
1
Suppose -3*m + 3*d = -444, -157 + 13 = -m + 5*d. Calculate the remainder when 724 is divided by m.
128
Suppose 5 = y, -2*c + 3*y = -7*c + 5. Let j = c - -5. Calculate the remainder when (-20)/(-1980)*-9 + (-265)/(-11) is divided by j.
0
Suppose -110 = -g - 2*n, 0 = g + 3*n - 82 - 28. Calculate the remainder when 6929 is divided by g.
109
Suppose -171 = -7*g + 235. Let s = -106 + g. What is the remainder when 8/2*(-4)/(s/54) is divided by 10?
8
Let m be (5/(-3))/((-7)/63*3). Let t(a) = -a**2 + 14*a + 16. Calculate the remainder when t(m) is divided by 21.
19
Let