 = 50 - 45. Suppose -8 = -c - x. Calculate the remainder when c is divided by u(1).
0
Let d = -14 + 14. Suppose -4*n + 31 + 15 = -5*l, d = 5*l - 10. Let q = 44 - n. What is the remainder when 57 is divided by q?
27
Let a(c) = c**3 - 7*c**2 + 5*c - 8. Let g be a(8). Let r be 0*((-52)/12 - -4). Suppose 6*n - 2*n - g = r. Calculate the remainder when 95 is divided by n.
23
Let r(a) = 99*a**2 - 3*a + 2. Suppose -3*g - 2*x = -11, -2*g = -4*x + 4 + 10. Calculate the remainder when r(g) is divided by 26.
20
Suppose -z + 6*z - 19 = -m, 0 = 3*z + m - 11. Suppose 0 = 5*c - a - 2*a - 35, -2*c + 4*a + 28 = 0. What is the remainder when z is divided by (8/36)/(c/36)?
0
Calculate the remainder when 20 is divided by 25/175 + 152/14.
9
Let m(w) = -14*w**3 - 5*w**2 - 6*w - 3. Let y be m(-3). Let i = y - 232. What is the remainder when i is divided by 39?
38
What is the remainder when 2/(-4) + (-49822)/(-116) is divided by 149?
131
What is the remainder when (-315 - -2)/(-1) - (-6 + 4) is divided by 53?
50
Suppose 0 = -2*n + 6, 14 = -5*z + 4*n + 192. What is the remainder when 569 is divided by z?
37
Calculate the remainder when (7 + (-221)/(-4))/(2/8) is divided by 43.
34
Let r(f) = -11*f - 2. Calculate the remainder when 54 is divided by r(-2).
14
Suppose -77*c + 600 = -37*c. Calculate the remainder when 59 is divided by c.
14
Let n = -13 - 3. Let a = 19 + n. What is the remainder when (-2)/a*(-558)/4 is divided by 24?
21
Suppose 0 = 9*t - 8*t + 3. What is the remainder when -12*t/30*390/9 is divided by 18?
16
Suppose 2*j - 5*q = -12, -12 + 44 = 5*j + 3*q. What is the remainder when (0 - 104/10)/(j/(-10)) is divided by 3?
2
Let k = 38 + -33. Suppose k*f + 0*f = 10. Calculate the remainder when f/5 + 1106/35 is divided by 7.
4
Let j be 60/(-35)*-7*2. Let y = j + -22. Suppose 4*s - 3*x = 55 + 2, -3*x + 33 = y*s. What is the remainder when s is divided by 9?
6
Let l(m) = m**2 - 3*m + 6. Let s be l(-9). Let z = s - 76. Let k = z - 12. Calculate the remainder when k is divided by 14.
12
Let c = 50 - 36. Let q be 145 + -3 - 0/2. Suppose 81 = 3*v - r, -3*v - 4*r - q = -8*v. Calculate the remainder when v is divided by c.
12
Suppose -18*k - 15*k = -429. What is the remainder when 245 is divided by k?
11
Let h be -2 - (-2)/4*10. Suppose -f - 7 = -h*j, -j = -f - 5*j + 28. What is the remainder when 29 is divided by f?
5
Let g = 416 + 116. Suppose 10*f + 4*f = g. Let n = -12 - -32. Calculate the remainder when f is divided by n.
18
Suppose 828 = 12*a - 240. Calculate the remainder when a is divided by 7.
5
Suppose -49*b - 10008 = -57*b. Calculate the remainder when b is divided by 57.
54
Suppose 4*i - 27 = i + n, 3*n - 31 = -5*i. Let g(b) = 5*b**3 + 2*b**2 - 3*b + 1. What is the remainder when g(2) is divided by 8 - i - (0 + -22)?
21
Suppose -i + 5 = -4. Suppose 0 = -l + 25 + 23. Suppose -l = -c - 2*c. Calculate the remainder when c is divided by i.
7
Suppose -3*p + 353 = 4*r, -4*r + 100 = p - 263. Calculate the remainder when 109 is divided by r.
17
Suppose -r = 3*t, 4*r + 15 = t + 2. Calculate the remainder when 50 is divided by 17/(r + 2 + 2).
16
Suppose 43 = -3*y + 1. Let s(u) = u**3 + 13*u**2 - 20*u - 15. Calculate the remainder when s(y) is divided by 18.
15
Suppose -4*k + 12 + 4 = 0. Suppose -8*v + 3*v - 113 = -3*t, k*t + 2*v - 194 = 0. Calculate the remainder when t is divided by 16.
14
Let a(d) = -d**3 - 7*d**2 - 6*d + 2. Let u be a(-7). Let v = 49 - u. Suppose 0 = -2*f + 12 + 14. What is the remainder when f is divided by v?
3
Suppose -p - 6*d = -4*d - 33, -d + 32 = p. What is the remainder when 214 is divided by p?
28
Suppose -50*t - 347 = -2297. What is the remainder when 145 is divided by t?
28
Let f = 557 + -531. What is the remainder when 49 is divided by f?
23
What is the remainder when ((-2924)/170)/((-4)/30) is divided by 50?
29
Let v(l) = l**3 - 12*l**2 - 4*l - 12. Let k be v(12). Let f = 83 + k. What is the remainder when f is divided by 13?
10
Let q = -22 + 22. Let m(l) = 2*l**2 + 7*l - 2. Let o be m(-4). Suppose -v + 4 - o = q. Calculate the remainder when 6 is divided by v.
0
Let v be (0/(-2))/(2 - 3). Suppose v - 25 = -5*w. Suppose 3*l + n = 42, 0*n + 3*n + 56 = w*l. What is the remainder when l is divided by 4?
1
Suppose 0 = -l - p + 3, -l + 0*p = -p - 9. Suppose -35 = -2*r - w - 0*w, 20 = 2*r - 4*w. Let a = r - 6. What is the remainder when a is divided by l?
4
Suppose 3 = 3*c + 3*s, 0 = -5*c + 2*c - 2*s + 5. Suppose 3*z - 153 = 3*p - 2*p, 0 = c*p. Calculate the remainder when z is divided by 9.
6
Let j = 252 - 178. Let b be (2 + 0 - 4) + 24. Suppose -h + b = -3. Calculate the remainder when j is divided by h.
24
Suppose 5*y + n = -91, -5*n + 0*n + 31 = -2*y. Calculate the remainder when 187 is divided by y*((-3)/(-6) + -4).
61
Suppose -3*b + 120 = 2*b. Let j(f) = 22 - 23 + 42*f**3 + 30*f**3. Calculate the remainder when j(1) is divided by b.
23
Let s = -242 - -431. Calculate the remainder when s is divided by 32.
29
Let d(z) be the first derivative of -z**4/4 - 8*z**3/3 - 4*z**2 - 15*z + 12. What is the remainder when d(-8) is divided by 13?
10
Suppose 4*s - 4*g - 116 = 0, -2*s + 0*s = -5*g - 67. Let m = 64 - 43. Let p = m - 12. Calculate the remainder when s is divided by p.
8
Suppose -41*r - 52*r = -9579. Calculate the remainder when r is divided by 26.
25
Let r be (-2)/5 - (-4 + (-228)/(-5)). What is the remainder when 83 is divided by r/(-3)*(-8)/84*-9?
11
Let a be (-6)/(-3) + 1/1. Let h(b) = 2*b**3 - b**2 - 3*b - 1. Suppose 14 + 6 = 5*l + 5*s, -l + 29 = -4*s. Calculate the remainder when h(a) is divided by l.
8
Let n = 440 - 373. What is the remainder when n is divided by 37?
30
Let b(z) = z**3 - 2*z**2 - 16*z + 14. What is the remainder when b(8) is divided by 58?
38
Let c = 27 + 57. Calculate the remainder when c is divided by 40/75*10/56 - 628/(-21).
24
Let c(g) = -2*g**3 + 2*g**2 + g + 2. Let u be c(2). Let h = -7 - u. What is the remainder when 26 is divided by 1 + -1*(h + -3)?
5
Suppose 5*s - 75 = -h + 370, -2*s - h = -175. Calculate the remainder when 355 is divided by s.
85
Suppose -9 = -3*a, 2*i = 3*i - 2*a - 435. Suppose -5*k = w - i, 3 = 6*w - 3*w. Let s = k + -31. Calculate the remainder when s is divided by 12.
9
Let g(n) = -n**3 + 9*n**2 - 3*n + 9. Let w be g(4). Let d = -18 + w. What is the remainder when d is divided by 30?
29
Let l(k) = 9*k - 187. Calculate the remainder when 70 is divided by l(25).
32
Suppose -78*y = -14*y - 1472. Calculate the remainder when 482 is divided by y.
22
Let x(k) = -k**3 - 7*k**2 - 9*k - 1. Suppose 0 = -a + 7 - 13. Let w = 107 + -42. Calculate the remainder when w is divided by x(a).
14
Suppose -14 - 20 = -2*d. Let y(f) = -13*f - 21. What is the remainder when y(-8) is divided by d?
15
Suppose -4*k = 21 + 19. Let r = k - -25. What is the remainder when 4 + 34 + 16/4 is divided by r?
12
Suppose 0 = 2*j + 3*m - 17, 6*m - 2*m + 52 = 2*j. Calculate the remainder when 30 is divided by j.
14
Suppose 115 = 4*k - 5*l, -5*l = 5*k + 22 - 132. What is the remainder when 64 is divided by k?
14
Suppose -343 = -n + v, 5*n + 2*v - 1331 = 405. Calculate the remainder when n is divided by 15.
1
Let j = -667 + 951. What is the remainder when j is divided by 22?
20
Let m = 12 - -17. Suppose 18 = -6*g - 30. What is the remainder when m is divided by 2/g - 287/(-28)?
9
Suppose -70 = -3*p - 4. Let t(z) = 2*z**2 - 8*z + 6. Let f be t(6). Let i = -18 + f. What is the remainder when p is divided by i?
10
Let y be 2*(5 - 28/8). Let k(m) be the second derivative of m**5/10 - 5*m**4/12 + m**3/2 - m**2 + m. Calculate the remainder when 31 is divided by k(y).
15
Let l = 1 - -5. Let j be (-3)/(-3 - l/(-4)). Suppose -4 = x + j*y, 4*x - 3*y = -0*y + 39. Calculate the remainder when 21 is divided by x.
3
Let c = 232 - 218. Calculate the remainder when c is divided by 11.
3
Let n = -16 - -26. Let k = n + -8. Suppose 10 = -k*p, 2*q - 19 = -0*q - p. What is the remainder when q is divided by 7?
5
Let n be 35 - 35 - (1 + 0 + -3). Suppose 2110 + n = 8*s. Calculate the remainder when s is divided by 53.
52
Let r = 233 + -218. What is the remainder when 733 is divided by r?
13
Let o be (-3)/9 + 236/6. Suppose -3*n - 5*z = -o, n = -z - 2 + 15. Calculate the remainder when n is divided by (-2)/(-11) + (-225)/(-33).
6
Calculate th