p**2/2 - 3*p - 1. Calculate the remainder when t(6) is divided by d(6).
1
Suppose -2*u - 3 + 7 = 0. Suppose -2*s + 6 = 3*n, -s + 3*s - 10 = -u*n. Let p = s + -2. Calculate the remainder when 26 is divided by p.
5
Let h(x) = 13*x - 6. Let n be h(6). Suppose n = k + 3*k. Calculate the remainder when 69 is divided by k.
15
Let l = 22 - 10. Suppose -5*f + 12 = -3. Let c = l + f. What is the remainder when c is divided by 8?
7
Suppose 2*w = -16 + 72. Calculate the remainder when 53 is divided by w.
25
Suppose g + 1 - 6 = 0. Suppose -3*q - 2*f - f = -54, 0 = -2*q - g*f + 21. What is the remainder when q is divided by 4?
3
Let s(g) = g + 6. Let l(h) = h + 5. Let y(n) = -6*l(n) + 5*s(n). Calculate the remainder when 11 is divided by y(-6).
5
Let t(h) = 3*h - 15. Suppose -5*c = -c - 20, 5*z + 5*c = 75. Calculate the remainder when t(z) is divided by 6.
3
Suppose g + 4 - 30 = 0. Calculate the remainder when 103 is divided by g.
25
Suppose 4*u + 4*t = 2*u + 48, 126 = 4*u - 2*t. Let n = u - 17. What is the remainder when n is divided by 5?
3
Let d(y) = y**3 + 4*y**2 + 2*y - 2. Let n be d(-3). Let g be -57 + n/3*3. Let x = -18 - g. What is the remainder when x is divided by 20?
18
Calculate the remainder when 82/5 - 12/30 is divided by 10.
6
Let n(r) = -2*r**3 + 2*r**2 - 1. Let h(f) = -f**3 + 7*f**2 - 8*f + 3. Let m be h(5). Suppose 0 = 2*l - m - 1. What is the remainder when l is divided by n(-1)?
1
Let z = 18 - -7. Calculate the remainder when 74 is divided by z.
24
Let s = -62 + 70. What is the remainder when 141 is divided by s?
5
Suppose k + 4 = 0, 2*k + 3*k = r - 22. Suppose 0 = -5*d - 5*i + 60, -d + 40 = r*d - i. What is the remainder when 50 is divided by d?
11
Suppose 0*s - 4 = -4*s. Let x be (-2 + 2)*s/1. Suppose v = -x*v + 7. Calculate the remainder when 12 is divided by v.
5
Suppose 5*h = 28 + 42. Calculate the remainder when 53 is divided by h.
11
Suppose -16 = -3*r + 2*r. What is the remainder when 20/15*(-138)/(-4) is divided by r?
14
Suppose -1 - 437 = -6*w. What is the remainder when w is divided by 25?
23
Let q = -9 - -27. Suppose 2*i - 10 = -5*b + i, -2*i - 4 = -2*b. Suppose -b*r = -2*p + 102, -4*r + 3 = -5. What is the remainder when p is divided by q?
17
Let r(v) = -v**3 - 5*v**2 + 10*v - 1. Let t be (-1)/(2*(-2)/4). Let k = t + -8. What is the remainder when r(k) is divided by 14?
13
Let c be (15 - (-1 + 0)) + -1. Let s be 12/c - (-1)/5. Let r(m) = 10*m**3 + m**2 - 1. Calculate the remainder when 19 is divided by r(s).
9
Let w(m) = m**2 + 5*m + 1. Suppose 4*j = 2*k + 18, 2*j + 4*k = k + 29. Suppose 4*d + 27 = j. What is the remainder when 2 is divided by w(d)?
0
Let u be (-3)/(-1 - -7)*0. Suppose -5*g - 6 = -4*n - 43, u = -g - 3*n + 15. Calculate the remainder when 34 is divided by g.
7
Suppose 228 + 106 = w - 5*h, -4*w = 2*h - 1336. What is the remainder when w is divided by 56?
54
Suppose 7 = -4*b + t, -2*b - 5*t + 9 + 4 = 0. Let w(r) = r**3 + r + 1. Let p be w(0). Calculate the remainder when 49 is divided by 18 + (b - p - -1).
15
Let d be -5*(-1 + 9/(-3)). Suppose 0 = 2*j + z - d, -4*j - 36 = -5*z - 90. Calculate the remainder when 31 is divided by j.
9
Let q(f) = f + 11. What is the remainder when 11 is divided by q(-4)?
4
Let z(i) = i**2 - i - 9. Calculate the remainder when z(8) is divided by 12.
11
Let h(o) = 4*o**2 - 4*o - 9. What is the remainder when h(-4) is divided by 18?
17
Suppose -5*n + 23 + 67 = 0. What is the remainder when n is divided by 10?
8
What is the remainder when ((-7)/4)/(2/(-40)) is divided by 19?
16
Let n = 17 + -20. Let u = 14 - n. Calculate the remainder when 32 is divided by u.
15
Let u(a) = 223*a**2 - 2*a - 1. Let n be u(-1). Suppose 0*o = -4*o + n. Calculate the remainder when o is divided by 19.
18
Let m = 1 - -1. Suppose 5*d + 12 = m*d, 0 = -2*g + 5*d + 90. Let l(n) = -9*n. What is the remainder when g is divided by l(-2)?
17
Suppose 4*a = 7 + 9. What is the remainder when 15 is divided by a?
3
Let n(l) = l + l + l - 2. Let o be ((-3)/6)/(1/(-14)). Calculate the remainder when 55 is divided by n(o).
17
Suppose 3*z - 36 - 4 = -r, -3*z = 2*r - 80. Let a = r + -10. Calculate the remainder when a is divided by 16.
14
Let i(c) = 4*c + 8. Calculate the remainder when i(6) is divided by 3*((-55)/(-3))/5.
10
Let c(m) = -m**2 + 10*m - 15. Calculate the remainder when 57/5 + 2/(-5) is divided by c(7).
5
Let i = 35 - 30. Suppose 6*c = 2*c + 40. What is the remainder when 6/(-15) + 134/c is divided by i?
3
Suppose 3*d - 4*g = 38, -5*d + 50 + 15 = -5*g. Let y be (-7)/d*62/(-1). Suppose -y - 29 = -5*a. What is the remainder when 22 is divided by a?
10
Suppose -2*t + 14 = 4*b, 2*t + 4 = -0*t + 5*b. Let h(z) = -z + t - 5 - 1. What is the remainder when 19 is divided by h(-10)?
5
Let u(t) = t**3 - 9*t**2 + 3*t - 8. Calculate the remainder when 73 is divided by u(9).
16
Suppose 5 + 112 = 3*j. What is the remainder when j is divided by 10?
9
Let w(s) = s**3 - 9*s**2 + 8*s - 3. Let o be w(8). What is the remainder when 19 is divided by o - (-4 - 0) - -10?
8
Let d(v) = v**2 + 5*v - 9. What is the remainder when d(2) is divided by 4?
1
Let l be 14/3 + (-3)/(-9). Suppose -4*p - 71 = -4*v - p, -l*v + 4*p + 90 = 0. Suppose 5*i - 26 = v. Calculate the remainder when 14 is divided by i.
6
Let y = -16 - -10. Let u(n) = n**3 + 7*n**2 + 3*n + 9. Calculate the remainder when u(y) is divided by 10.
7
Suppose -3*u + 9 = 3*h, 3 = 2*h - 3*u - 3. What is the remainder when 38 is divided by (-39)/(-2)*2/h?
12
Let u(x) = -x**2 - x + 2. Suppose 3*c - 7*c = 2*a, 0 = 5*a - c. Let w be u(a). Suppose -k + w = k. What is the remainder when 2 is divided by k?
0
Let z = 23 + 67. Let n = z + -32. What is the remainder when n is divided by 20?
18
Suppose 2*c = c - 3*k + 4, -3*k - 26 = -2*c. Calculate the remainder when c is divided by 6.
4
Suppose -5*g = 5, 4*k - g + 0*g = 77. What is the remainder when 32 is divided by k?
13
Let l = 13 + 19. Suppose -3*s = y - l, y + 23 = 3*s - s. What is the remainder when s is divided by 3?
2
Let y(v) be the first derivative of v**2/2 + 32*v - 1. Let q(t) = 3*t - 34. Calculate the remainder when y(0) is divided by q(15).
10
Let o = 74 + -31. Calculate the remainder when o is divided by 11.
10
Let t(w) = w**2 - 21*w + 26. What is the remainder when t(22) is divided by 17?
14
Suppose -5*h + 90 = 10. Suppose v - h = 19. What is the remainder when 1/(-5) + 1127/v is divided by 17?
15
Let y(v) = 18*v**2 + 4*v - 8. Calculate the remainder when y(2) is divided by 37.
35
Let i(t) be the first derivative of t**2/2 + 24*t + 4. Calculate the remainder when 48 is divided by i(-11).
9
Let x be (1 - 2)/(2/(-4)). Suppose -5*s = -s + x*n - 46, -5*s + 2*n + 44 = 0. Calculate the remainder when 29 is divided by s.
9
Suppose -3*a + 4*m = -8*a - 6, 0 = -2*a - m. Suppose 16 = -a*j + 3*j. Let f = -8 + 17. Calculate the remainder when j is divided by f.
7
Let g = -62 + 141. Suppose 3*f = 4*w - g, -f - 2 = f. Calculate the remainder when w is divided by 10.
9
Suppose 3*g - 15 = 4*g. Let z = g - -23. Calculate the remainder when 14 is divided by z.
6
Suppose 3*y = 1475 - 593. Suppose 5*k - j - y = 0, 5*k = 4*j - 0*j + 306. Let s(r) = -r**3 + 4*r**2 + 3*r + 3. What is the remainder when k is divided by s(4)?
13
Let y = -9 - -87. Suppose 0*r - y = -3*r. What is the remainder when r is divided by 9?
8
What is the remainder when (46 + 0)*(-14)/(-28) is divided by 12?
11
Suppose -2*c + 26 = -2*r + 3*r, 3*c - r = 39. Let d(v) = v**3 - 14*v**2 + 13*v + 11. Calculate the remainder when 28 is divided by d(c).
6
Let j = 17 - 4. Calculate the remainder when 128 is divided by j.
11
Suppose 6*m = -m + 161. Calculate the remainder when 68 is divided by m.
22
Let i be ((-2)/6)/(4/(-36)). Suppose -i*h + 60 = 2*h. Let p = h + -4. What is the remainder when p is divided by 3?
2
Suppose 0 = 4*u + 2*i, 3*i = -u - 1 - 4. Let d = u + 5. Calculate the remainder when 15 is divided by d.
3
Suppose j - h - 7 = -j, 2*j - 6 = 2*h. Suppose -j*z + z + 3 = 0. What is the remainder when 1 is divided by z?
0
Let y(m) = -m**2 + 7*m + 6. Let t be y(7). Let n(h) = h**3 - 7*h**2 + 3*h + 4. Let w be n(t). Let f = 5 - w. What is the remainder when f is divided by 7?
5
Let g(o) = o**2 + 3*o + 6. Calculate the remainder when g(5) is divided by 12.
10
Suppose 0*n - 3*n 