ppose -z = -t*s + 25*s - 475, 465 = 5*s - z. Calculate the remainder when s is divided by 12.
10
What is the remainder when 1806/4*((-5355)/147 + 37) is divided by 45?
33
Suppose -12*k + 1075 - 319 = 0. What is the remainder when 475 is divided by (-20)/4 - k/(-1) - 5?
51
Let a = 465 + -291. Suppose 7*q - 10*q = -a. What is the remainder when q is divided by 17?
7
Let v(i) = -i**3 - 3*i**2 - i - 4. Let x be v(-3). Let s = 1002 + -980. Calculate the remainder when (x - -4)/3 - -108 is divided by s.
21
Suppose 10*w - 323 = -33. Let p be -3 - (-2 - -1) - 0. What is the remainder when w is divided by (-12)/4 - (p - 18)?
12
Suppose -3*y - 3*r + 8277 = 0, 12*y + r - 33043 = 2*r. Calculate the remainder when y is divided by 92.
86
Let x = 44 + -41. Suppose 4*f = x*l - 58, -55 = -3*l - 2*f - 21. What is the remainder when 235 is divided by l?
11
Let m(f) = 97*f - 3721. Calculate the remainder when m(49) is divided by 22.
20
Calculate the remainder when 994 is divided by (2134/(-88) - -22)/((-2)/296).
328
What is the remainder when (370/24)/((-213)/(-2556)) is divided by 35?
10
Suppose h - 925 = -3*r + 2*h, 4*r - 1232 = h. Let p = r + -273. Calculate the remainder when p is divided by 8.
2
Suppose -4*u - c + 17 = 0, 0 = -2*u + c - 0*c + 7. Suppose -4*i + 5*i = q + 2, u*q + 10 = 5*i. Calculate the remainder when 7*i - (2/1 + 1) is divided by 7.
4
Suppose 2*y - 4610 = -4*r, -3*r - 298*y + 299*y = -3460. Calculate the remainder when r is divided by 43.
35
Suppose 0 = -c - 10*c - 1826. Let i = c - -191. What is the remainder when i is divided by 11?
3
Let j be 9/3 - (-87)/1. What is the remainder when 225 is divided by (-2 + 71)*(j/(-27))/(-10)?
18
Let j = -30 + 34. Suppose -3*m = -3*t - 81, 0*m + 42 = 2*m + j*t. Suppose -m*v + 400 = -20*v. Calculate the remainder when v is divided by 21.
17
Let p = 416 - 388. Suppose 61*s = 59*s + p. Calculate the remainder when s is divided by (-1)/2 - 11/(-2).
4
Suppose 3068 + 2574 = 50*p - 2758. Calculate the remainder when p is divided by 64.
40
Let b be (2592/(-480))/((-2)/10). Let f = -17 - -48. Suppose b*x + 116 = f*x. What is the remainder when 86 is divided by x?
28
Suppose -25*j + 3045 - 2470 = 0. Calculate the remainder when 801 is divided by j.
19
Let l = -45 + 46. Let y be ((-1)/l)/((48/330)/8). Let v = 62 + y. What is the remainder when 13 is divided by v?
6
Let s(f) be the second derivative of f**4/4 + 16*f**3/3 - 17*f**2/2 + 176*f. What is the remainder when s(-12) is divided by 7?
3
Suppose 302*b - 6848 + 25505 = 311*b. What is the remainder when b is divided by 29?
14
Let h(i) = 19*i - 30. Let r(n) = 39*n - 60. Let j(y) = 7*h(y) - 3*r(y). Calculate the remainder when j(3) is divided by (-5)/((-2)/(-2)*-1).
3
Suppose 14*g - 13*g - 2*p - 4803 = 0, 2*g = p + 9630. What is the remainder when g is divided by 13?
9
Suppose a - 4*u = 49, -4*u + 9 = -7. Suppose -38 = o - a. Calculate the remainder when (318/10)/(5/25) is divided by o.
24
Let g(d) = 4*d - 17. Let w be g(4). Calculate the remainder when 196 is divided by w + (6 - 4) - -32.
31
Let d be (-46)/161 + ((-23)/(-7) - 0). Let x(o) = 2*o**3 - o**2 - 4*o. What is the remainder when 261 is divided by x(d)?
30
Let g = -69 - -117. Calculate the remainder when 70 is divided by g.
22
Let i(j) = -j**2 - 31*j - 82. Let v be i(-28). Suppose 20 - v = 2*f. What is the remainder when 78 is divided by f?
6
Let i(d) = -2*d + 32. Let n be i(15). Suppose -6*s - 12 = -n*s - 3*h, -5*s + 4*h - 15 = 0. What is the remainder when s*(2/(-3) + -1) is divided by 2?
1
Suppose 0 = 60*d - 12*d + 2592. Suppose 0 = 3*w - 291 + 84. Calculate the remainder when w is divided by (1 + 2 + -1)/((-12)/d).
6
Suppose 0 = -18*s + 16*s - 4*w + 120, -5*s - 2*w = -324. Let o = -573 + 834. What is the remainder when o is divided by s?
63
Suppose -r + d + 140 = -66, -3*d - 826 = -4*r. Suppose 0 = 2*k + 6*k - r. What is the remainder when 127 is divided by k?
23
Let o = -3208 + 3384. Calculate the remainder when 336 is divided by o.
160
Let j = -25190 - -25197. What is the remainder when (39 + 1)*(-4)/(-5) is divided by j?
4
Let g = -3967 - -4091. What is the remainder when 266 is divided by g?
18
Let a = 5356 - 5226. Calculate the remainder when a is divided by 44.
42
Suppose -19*h = 39*h + 43*h - 1163419. Calculate the remainder when h is divided by 256.
255
Suppose -5406*c + 5392*c + 2142 = 0. What is the remainder when 949 is divided by c?
31
Let s = 83 - 27. Suppose -s - 88 = -8*l. What is the remainder when 70/2 - 2/1 is divided by l?
15
What is the remainder when (((-572)/66)/13)/((-2)/2088) is divided by 41?
40
Suppose 3*c - 4*r + 14 = 0, -3*c - r - 19 = -6*r. Let q be (c - -2) + (50/5)/(-2). What is the remainder when 0 - -50 - (-4 + 5 + q) is divided by 17?
16
Suppose -35041 = -4*w + 25479. What is the remainder when w is divided by 194?
192
Suppose -3*h + 963 = -1821. Suppose 19*j - h = -92. What is the remainder when 1451 is divided by j?
43
Let y(d) = 2*d**2 + d - 1. Suppose -i + 4*w - 871 = -6*i, -4*w = -4*i + 668. Suppose -155*t - i = -164*t. Calculate the remainder when t is divided by y(-2).
4
Suppose 0 = 5*h - h - 22*h + 26784. What is the remainder when h is divided by 34?
26
Let m(k) = -4*k**2 - 6*k + 19. Let x be m(6). Let g = -106 - x. Calculate the remainder when 42/5*g/22 is divided by 11.
10
Let y(u) = -5*u**2 + 3*u - 9. Let a be y(4). Let v = 47 - 9. What is the remainder when v is divided by 40/(-14)*(2 + a/14)?
8
What is the remainder when 258 is divided by (-474)/4*((-760)/60 - -12)?
21
Suppose 0*z = 3*z. Suppose z = x + 1, -j = 3*x + x. Suppose 2*i - 93 = -o, -5*o - j = 1. What is the remainder when i is divided by 12?
11
Suppose -4*q - 115 = 68*m - 69*m, -q = -m + 97. What is the remainder when m is divided by 29?
4
Suppose -94 - 338 = -111*r + 456. Calculate the remainder when 2661 is divided by r.
5
Suppose 2*f - 10 = 0, -3*p - 33*f + 37*f = -61. Calculate the remainder when 284 is divided by p.
14
What is the remainder when (-23)/((-5313)/712467) + (-3)/11 is divided by 147?
144
Let o = 7221 + -5109. What is the remainder when (-9)/(-6)*o/36 is divided by 44?
0
Let u(f) = 91*f + 796. What is the remainder when 944 is divided by u(-8)?
60
Let f(z) = -3*z + 189. What is the remainder when f(33) is divided by (7 + 7 + -40)/(-2)?
12
Let x(c) = 4*c**2 + 18*c + 8. Let z(a) = -a**2 - a + 1. Let s(g) = -x(g) - 2*z(g). Calculate the remainder when 2/3 + (-65)/(-15) is divided by s(-7).
1
Let d be (10/(-6))/(2/(-6)). Let l be -3*4/6 + d. Let u(p) = 7*p + 3. What is the remainder when 94 is divided by u(l)?
22
Suppose 4*k + 3 = 27. Let g be k/33 + (-1)/(55/10). Suppose 5*c + 4*z = -g*z + 204, c + 5*z = 45. Calculate the remainder when c is divided by 23.
17
Suppose 5*q - 4*o - 54 = -2*o, 38 = 3*q - 4*o. Suppose 38*p = 80*p - 2394. Calculate the remainder when p is divided by q.
7
Let c = 16674 + -14857. Calculate the remainder when c is divided by 20.
17
Suppose p = 14 - 6. Let m(i) = 20*i + 23. What is the remainder when m(0) is divided by p?
7
Suppose 2*s - 154 - 26 = 0. Let m = -56 - -8. Let f = s + m. What is the remainder when f is divided by 22?
20
Suppose 0 = -31*w + 28*w + 9. Suppose w*g - 5*g = 0. Suppose -t + 9 + 21 = g. What is the remainder when 117 is divided by t?
27
Let x = 27 + -10. Let j be 10 + -11 + 1*6. Suppose 0 = -y + j*y + 4*c - 4, 4*y - 19 = -c. Calculate the remainder when x is divided by y.
5
Let k be ((-8)/6)/((-20)/45) - 0. Suppose -5*h - 2*j = -55, k*h - 14 = -j + 18. What is the remainder when h is divided by 2?
1
Let v(o) = o**2 - 71*o - 824. Calculate the remainder when v(-14) is divided by 20.
6
Let w(t) = 6*t**2 + 187*t - 1. What is the remainder when w(-35) is divided by 115?
114
Let r(l) = -l**2 - 17*l - 35. Let z be r(-17). Let h = -29 - z. Let d(i) = i**2 - 3*i + 2. What is the remainder when h is divided by d(3)?
0
Let h be (1 - 0)*1*93/3. Let m(k) = -k**3 + 32*k**2 - 39*k + 271. Calculate the remainder when 504 is divided by m(h).
21
Let y(f) = -18*f**2 - 501*f + 110. What is the remainder when 26 is divided by y(-28)?
0
Let d = 2464 - 2355. What is the remainder when 529 is divided by d?
93
Let m = 13 - 11. Suppose 2255*a - 2243*a = 60. Calculate the remainder when a is divided by m.
1
Suppose -32*p - 41*p = -18250. Calculate the re