 remainder when ((-7)/s - 3)*-114 is divided by 20.
16
Let t = 41 - 28. What is the remainder when 48 + (5 - 7) - -4 is divided by t?
11
Let s = -4 - -7. Suppose -f = -s*f + 98. Suppose -l + 20 = 3. Calculate the remainder when f is divided by l.
15
Let c be (-1 - -2)*(0 + -25). Let z = 36 + c. Calculate the remainder when 21 is divided by z.
10
Let i = 192 - 146. Calculate the remainder when 70 is divided by i.
24
Let f(u) = -12*u - 1. Let j be 26/12 - (-8)/(-48). Suppose -1 = -j*i - l, 3*l = 3*i + 11 + 1. What is the remainder when 19 is divided by f(i)?
8
Let r be ((-420)/25)/2*5. Let t = -37 - r. Calculate the remainder when 6 is divided by t.
1
Suppose 0 = -3*c - 2*h + 61, 4*c - h - 43 = 4*h. Suppose -2*a = 5*n - 2*n - 161, -244 = -3*a - 2*n. Calculate the remainder when a is divided by c.
14
Let y(a) = a**3 + 21*a**2 - 25*a - 56. Calculate the remainder when 587 is divided by y(-22).
7
Suppose 0*o = 4*o - 32. Suppose 6*y = 4 + 14. What is the remainder when o is divided by y?
2
Let n(u) = 18*u - 320. What is the remainder when 5 is divided by n(18)?
1
Suppose 0 = -2*n - 19 + 7. Let p(r) = -5*r - 27. What is the remainder when p(n) is divided by 3?
0
Suppose 151*r - 244 = 149*r. What is the remainder when r is divided by 18?
14
Suppose 1906 = -113*d + 14788. What is the remainder when d is divided by 20?
14
Let h(l) = 10*l**3 - 3*l**2 + l - 1. Let z(m) = -m**2 - 4*m. Let r be z(-4). Suppose 4*x = -r + 8. Calculate the remainder when h(x) is divided by 12.
9
Suppose 9*h + 38 = 155. Suppose h - 409 = -4*d. What is the remainder when d is divided by 20?
19
Let y(s) = s**2 + 5*s + 41. Calculate the remainder when y(-13) is divided by 42.
19
Suppose 3*g = -4*p + 7*g + 16, -20 = -5*p + 2*g. Let y = 66 - p. What is the remainder when y is divided by 32?
30
Suppose 34*i - 33*i = 139. Calculate the remainder when i is divided by 48.
43
Let r = -121 + 218. Calculate the remainder when r is divided by 21.
13
Calculate the remainder when 13 is divided by 74/10 - 5*(-10)/(-125).
6
Let d(o) = 1385*o**2 - 8*o - 2. Calculate the remainder when d(-1) is divided by 15.
11
Let o = 27 + -22. Suppose -o*d - 4*b = -56, 2*b + 10 = d - 4. Suppose 3*l + 92 = 4*c, -4*l + 26 = -5*c + 141. What is the remainder when c is divided by d?
11
Let y = -504 - -823. What is the remainder when y is divided by 64?
63
Let q = -242 + 244. What is the remainder when 18 is divided by q?
0
Let h(v) = v**2 + 4*v - 16. Let m be h(-7). Suppose 3*q - 4 = w, 2 - 4 = -m*w + 4*q. Suppose i - 33 = -w*i. Calculate the remainder when 20 is divided by i.
9
Let r = -5 + 23. Suppose 5*b - 2*b = r. What is the remainder when 9 is divided by 6*(-1 + 10/b)?
1
Let q(z) = z**3 - 6*z**2 + z - 7. Let b be q(6). Let s(o) = -o + 1. What is the remainder when (b - (-2 - -2))/(9/(-117)) is divided by s(-4)?
3
Suppose 16*t - 77 = 12*t + 5*f, 0 = 5*f + 25. Calculate the remainder when 60 is divided by t.
8
What is the remainder when 41 is divided by 4*-3*(-475)/380?
11
Suppose 2*o - 8 = -15*v + 19*v, -5*o + 55 = -3*v. What is the remainder when o is divided by 9?
5
Suppose -10*t + 113 + 497 = 0. What is the remainder when t is divided by 32?
29
Let c(a) = -a**2 - 23*a + 27. Let g be c(-24). Suppose g*y - 9 = 0, 4*y + 207 = i + 28. Calculate the remainder when i is divided by 49.
44
Suppose -2*f + 1 = -3. Suppose 132 = f*k + 3*v + 5, -2*v = 4*k - 274. Let w(y) = y**3 - 4*y**2 - y + 4. Calculate the remainder when k is divided by w(5).
23
Suppose -d = 2*a + 6 - 16, 0 = -3*a + d + 20. Suppose 5*y - 3*o - 143 = 0, y - 4*o - 139 = -4*y. What is the remainder when 2*177/a*1 is divided by y?
28
Let g be (-2)/4 - 5/(-10). Suppose l + 5*a = 7, l - 5 = -3*a - g. Let b(j) = 2*j - 1. What is the remainder when b(4) is divided by l?
1
Let f(x) = -5 - 1 - 10*x - 33*x + 5. What is the remainder when f(-1) is divided by 11?
9
Suppose 1 = -4*n + n + 4*s, 3*s - 32 = -4*n. Suppose d - 43 = -3*r, 163 = n*d + 4*r - 2*r. What is the remainder when 91 is divided by d?
29
Let g = -2 - -4. Let s = 10 - 10. Suppose s*j + 6 = g*j. Calculate the remainder when 5 is divided by j.
2
Let s = 1 + 16. Let d(y) be the third derivative of y**5/60 + 13*y**4/24 + 3*y**3 + y**2. Calculate the remainder when s is divided by d(-12).
5
Let w(c) = 9*c + 7. What is the remainder when w(5) is divided by 32?
20
Let q(v) = 2*v**2 - 16. Let t be q(0). Let m = t + 24. What is the remainder when 47 is divided by m?
7
Let z = 797 + -539. What is the remainder when z is divided by 15?
3
Let b = 4 + 0. Suppose -b*r + 60 + 8 = 0. Let i = r - 7. Calculate the remainder when i is divided by 4.
2
Let n = -45 + 76. Calculate the remainder when 42 is divided by n.
11
Let i(f) = 3*f - 6. Let a be i(10). Suppose -3*c = -3*n + 27, c - 5*n + n = -a. What is the remainder when 2 is divided by -13 + 10 + (0 - c)?
0
Let j = 94 - 87. Calculate the remainder when 52 is divided by j.
3
Let i(l) = 14*l + 9. Let r(k) = 5*k + 3. Let q(u) = -2*i(u) + 7*r(u). Let a(z) = 30*z**3 + 2*z**2 - z. Calculate the remainder when a(1) is divided by q(2).
14
Suppose 2*d - 14 - 52 = 0. Let f = d - 8. Calculate the remainder when 123 is divided by f.
23
Suppose -291 = 4*g + 5*z - 1209, 5*g + 2*z - 1156 = 0. Calculate the remainder when g is divided by 45.
7
What is the remainder when 78 is divided by 5 + (-218)/(-10) + 5/25?
24
Calculate the remainder when 59 is divided by 8/((-242)/(-33) + -7).
11
What is the remainder when 283 is divided by 1/(-1)*(-92 + 21)?
70
Let n be ((-42)/7)/((-2)/31). Calculate the remainder when (96/18 - 6)/((-1)/n) is divided by 9.
8
Suppose -3*r = -5*r - 10. Let n(t) = 3*t**2 + 11*t - 1. Calculate the remainder when n(r) is divided by 5.
4
Let v(m) = 23*m - 2. Suppose -22 = -y + l, 2*l - 62 - 9 = -3*y. Calculate the remainder when v(3) is divided by y.
21
Let a = -6 + 7. Suppose -5*m + 7 = -0*z - 3*z, -5 = -4*m + 3*z. Suppose -8 = -3*s - h, 2*s - m*h + a = 3*s. What is the remainder when 8 is divided by s?
2
Let m be (-2)/(-11) + (-404)/44. Let q(h) = -h**2 - 9*h + 7. Let t be q(m). What is the remainder when 22 is divided by -30*t/(70/(-4))?
10
Suppose -3*c - c = 24. Let r be (c/15)/(1/(-5)). Calculate the remainder when 6/r + (-114)/(-3) is divided by 14.
13
Let t(z) = -z**3 + 8*z**2 + 11*z - 7. Suppose 0 = 5*c + 4*v + 41, -2*v + 10 = -c - v. Let k = 28 + c. What is the remainder when k is divided by t(9)?
8
Let x(j) = -j**2 + 20 + 1 + 5 - 16*j - 1. What is the remainder when x(-16) is divided by 13?
12
Let s(c) = -c**3 + 30*c**2 - 78*c - 66. Let m = -54 - -10. Let j = m - -99. Calculate the remainder when j is divided by s(27).
10
Let n(t) = 14*t**2 - 2. Let j be n(4). Suppose 2*u + 0*u = j. What is the remainder when 3/3 - u/(-3) is divided by 10?
8
Suppose -h - 67 = -4*r, 4*r + 3*h = -r + 105. Let m = r - -12. Calculate the remainder when m is divided by 0/2 + (-2 - -13).
8
Suppose 0*v - 20 = -r - 3*v, -4*v + 15 = -r. Let u(n) = n**2 - 9*n + 16. Calculate the remainder when r is divided by u(7).
1
Suppose 0 = -7*n + 11 + 171. Calculate the remainder when 233 is divided by n.
25
Let o(t) = 2*t**2 - 11*t - 14. Calculate the remainder when o(-5) is divided by 35.
21
Suppose 6*c - 15*c = 2025. Let d = c - -323. What is the remainder when d is divided by 25?
23
Suppose 647*w = 644*w + 966. What is the remainder when w is divided by 85?
67
Let j(a) = 32*a - 446. Let o = -7 + 14. What is the remainder when o is divided by j(14)?
1
Suppose -4*t + f = -11, 5*t - 2*f - 8 = 4*t. Suppose j - 4*w = -3*j, -6 = 5*j + w. What is the remainder when j - (-4 + 1 + -5) is divided by t?
1
Suppose -3*j + j + 466 = 2*c, 0 = -4*j + 5*c + 959. Suppose 4 = 10*w - j. What is the remainder when w is divided by 3?
0
Let h(q) = q**2 + 7*q + 8. What is the remainder when 113 is divided by h(-10)?
37
Suppose 0 = -24*d - 17437 + 48253. What is the remainder when d is divided by 92?
88
Let c(n) = 2*n + 5. Let i be c(-4). Let a(l) = -2*l. Calculate the remainder when 11 is divided by a(i).
5
Let t = -255 + 309. Calculate the remainder when 107 is divided by t.
53
Suppose 3*p - 24 = -0. Suppose -l + 6*o + 27 = 2*o, -4*o = p. What is the remainder when 69 is divided by l?
12
Let n(y) = 10*y**2 - 2. Let f be n(-3). Let a be (78/8)/((-54)/(-792)). Let t = a - f. Calculate the remainder when