r when f(-5) is divided by 7.
6
Let i = 0 + 3. Suppose i*j + 25 = n, 3*n - 4*j = -5*j + 25. What is the remainder when 28 is divided by n?
8
Let u = 45 - 19. Let m(l) = -l + l**2 - 4 - 3*l - 3. Calculate the remainder when u is divided by m(7).
12
Suppose 2*y - 4*i + 4 = 0, -2*y + 3*i + 0*i - 1 = 0. Suppose 2*m + 4*g + 0 = 6, 3*m - 10 = -5*g. Calculate the remainder when m is divided by y.
1
Let w(p) = p**2 - 4*p. Let l be w(4). Suppose -j + 4 = l, 2*t + 2*t + 4*j - 56 = 0. Suppose -3*h - 18 = -6*h. Calculate the remainder when t is divided by h.
4
Suppose 3*g - 22 = 41. Suppose 10 = 2*x, n - 2*n + 5*x - g = 0. Suppose -b - n*b = 15, b = -s + 25. What is the remainder when s is divided by 10?
8
Let y be 84 - 0/(-2 + 1). Suppose -x + y = 3*x. Calculate the remainder when 83 is divided by x.
20
Let a be 27/(-63) - (-6)/14. Suppose x + 5 - 11 = a. Calculate the remainder when 15 is divided by x.
3
Let h(w) = -14*w - 4. Let m be h(-5). Let l = 96 - m. Calculate the remainder when l is divided by 11.
8
Let s be 21/(-14) - 23/(-2). Calculate the remainder when 13/(1/4*2) is divided by 1/(-1 - 0) + s.
8
Suppose -3*i = i - 32. Let c = -6 - -5. What is the remainder when c/1 + (2 - -21) is divided by i?
6
Let a(o) = o**3 - 10*o**2 + o + 13. Let c be a(10). Let d = c - 5. Calculate the remainder when 53 is divided by d.
17
Let p = 1 - -1. Let n = p + -5. Let x = 9 + n. Calculate the remainder when 10 is divided by x.
4
Let k = 84 + -78. Calculate the remainder when k is divided by 1.
0
Let h = 7 + 12. Suppose -15 = -2*q + 4*f + 15, 4*q = 2*f + 30. Calculate the remainder when h is divided by q.
4
Let o = 10 + -6. Suppose -5 = -3*q + 5*d, -5*d + d = o*q - 60. Let s = q + -2. Calculate the remainder when 15 is divided by s.
7
Suppose -l + 78 = 2*l + 5*k, 0 = -l - k + 26. Suppose 0 = -5*h + 80 - 10. Calculate the remainder when l is divided by h.
12
Let w(u) = -u - 1. Let l be w(-4). Suppose 0 = 3*a, m - l*a + 69 = 4*m. What is the remainder when m is divided by 8?
7
What is the remainder when -3 - (-28 - 2) - (3 - 0) is divided by 19?
5
Let o = 114 + -76. Calculate the remainder when o is divided by (-1)/(1*(-2)/26).
12
Let m(j) = 18*j**2 + 6*j + 11. Let f(a) = 6*a**2 + 2*a + 4. Let t(c) = -17*f(c) + 6*m(c). Calculate the remainder when t(-3) is divided by (-138)/(-9) + 4/6.
14
Suppose -6*z + 51 + 33 = 0. What is the remainder when z is divided by 3?
2
Let q = -9 - -73. Suppose 29*k - 267 = 110. Calculate the remainder when q is divided by k.
12
Let c(h) = h**3 + 7*h**2 - 11*h - 1. Let m be c(-8). Suppose 37 = 5*u - m. Calculate the remainder when u is divided by 7.
5
Let m be 1514/10 + 2/(-5). Suppose -5*w + m = 36. What is the remainder when w is divided by 4*4/(4 + -2)?
7
Let y(v) = v**3 - 2*v**2 + 3*v - 3. Let i be y(2). Suppose -2*b + 4*m + 86 = 8, i*m - 57 = -2*b. What is the remainder when b is divided by 17?
16
Let r = 2 - 0. Suppose 0 = -a - r*s - 3*s + 30, 0 = -a + 5*s. Suppose -92 = -2*t - 34. Calculate the remainder when t is divided by a.
14
What is the remainder when 60 is divided by (-18)/(-4)*(-8 - -10)?
6
Let v(m) = -m**3 + 6*m**2 - 2*m - 5. Calculate the remainder when 35 is divided by v(4).
16
Let n(s) = -s**3 + 34. Suppose 0*f - 10 = -5*f. Suppose -6*w + f*w + 60 = 4*p, -5*w - 33 = -4*p. Calculate the remainder when n(0) is divided by p.
10
Suppose 0 = 5*m - 15, -3*p + 7 + 59 = 5*m. Calculate the remainder when 66 is divided by p.
15
Suppose 5*q - 46 - 89 = 0. Let h(d) = -2*d + 34. What is the remainder when q is divided by h(10)?
13
Let l be (-6)/(-2) - (-3 - -5). Suppose 4*t - l = 15. Suppose -t - 2 = p - 5*c, -2*p = -4*c - 6. Calculate the remainder when 17 is divided by p.
8
Suppose -47 = -3*o + 4*c, -o + 4*c = -3*o + 38. Calculate the remainder when 67 is divided by o.
16
Suppose 2*i = 5*u - 222, 2*i + 110 = i + 3*u. What is the remainder when (3/(-6))/(2/i) is divided by 8?
5
Suppose 4*k - 82 = -3*r, 0 = 5*k - 0*k - 2*r - 91. Calculate the remainder when 2*-1*((-2555)/(-14))/(-5) is divided by k.
16
Let a(x) = -60*x - 5 + 3 + 61*x. Calculate the remainder when 42 is divided by a(11).
6
Let i = -44 - -84. Suppose i = -f - 3*f. What is the remainder when (-4)/f - (-33)/5 is divided by 4?
3
Let y(x) = -x**3 - 18*x**2 - x + 16. Let f = -9 - 9. What is the remainder when 99 is divided by y(f)?
31
Suppose -w = 2*k - 0*k - 12, 40 = 4*k - 2*w. Suppose 50*v - 40*v = 300. What is the remainder when v is divided by k?
6
Let z = -28 - -17. Let l be 9/(1*(-1)/z). Suppose 4*k = -12, -2*k + l = 3*y - 0. Calculate the remainder when y is divided by 12.
11
Let z = 143 + -95. What is the remainder when z is divided by 10?
8
Suppose 5*t - 18 - 2 = 0. Suppose -x + t*p = -41, 0 = -3*x + x - p + 46. What is the remainder when 97 is divided by x?
22
Let c be (6/8)/((-5)/(-40)). Let i = 9 - c. Calculate the remainder when 10 is divided by i.
1
Suppose -5*h = m - 0*h - 21, -99 = -3*m + 3*h. Calculate the remainder when 60 is divided by m.
29
Let x(m) = 2*m**3 - 3*m**2 - 2*m - 12. What is the remainder when x(4) is divided by 16?
12
What is the remainder when 223 is divided by -8*(-1)/4*-2 - -60?
55
Let s = 6 - 1. Suppose -s*x + 0*x + 40 = 0. Calculate the remainder when 23 is divided by x.
7
Let d be (-2)/(-3) - 8/3. Let z = 5 + d. Let s(q) = q**3 - 2*q**2 - 2*q + 1. What is the remainder when 11 is divided by s(z)?
3
Suppose -5*s + 3*x + 0*x + 210 = 0, 4*s - 195 = -3*x. What is the remainder when 87 is divided by s?
42
Suppose -3*j = -2*j - 11. Let g(o) = 9*o**2 - 4*o + 2. What is the remainder when g(2) is divided by j?
8
Let f(p) be the first derivative of p**2/2 + 2*p + 1. Let z = -8 - -8. What is the remainder when 4 is divided by f(z)?
0
Suppose 0 = -8*f + 5*f. Suppose -4*o + 6 + 14 = f. Suppose 6 = -4*h + 14. Calculate the remainder when o is divided by h.
1
Let c = -8 + 19. Let q be 3/(-3) + (4 - 2). What is the remainder when ((-1 - 1) + q)*-43 is divided by c?
10
Let b be ((-48)/(-9))/((-2)/(-12)). Suppose 3*a + 5 - b = 0. Suppose 26 + a = 5*m. Calculate the remainder when 20 is divided by m.
6
Let p be -2*(2 + -4 + 1). Let q(n) = 2*n**2 - 2*n. Calculate the remainder when 10 is divided by q(p).
2
Let w(l) = 7*l + 6. Let y be (2 - 7/3)*-6. Let c(m) = 36*m + 31. Let x(r) = y*c(r) - 11*w(r). What is the remainder when 47 is divided by x(-4)?
15
Suppose j + 3 = 0, i = j - 4 + 39. Calculate the remainder when i is divided by (26/(-39))/(4/(-102)).
15
Suppose -86 + 258 = 4*y. What is the remainder when y is divided by 23?
20
Suppose -18 = -3*b - 2*g, -5*b - 2 + 31 = 3*g. What is the remainder when b is divided by -1*(2 - 1) + 4?
1
Let x = -113 + 37. Let i = -52 - x. Let v = i - 12. What is the remainder when 34 is divided by v?
10
Let n = -24 - -53. Suppose -b = 2*p - 243 + 13, 118 = p + 2*b. What is the remainder when p is divided by n?
27
Suppose 0 = 4*u - 50 - 54. Suppose 0 = -c + 4 + 1. Calculate the remainder when u is divided by (-4 - c)*(-1)/1.
8
Let g(r) = -2*r**3 - 4*r**2 - r + 2. Let u be g(-2). Suppose u*j - 13 = 19. Suppose 4*i + i = 25. Calculate the remainder when j is divided by i.
3
Suppose 0*z + 3*z - 9 = 0. Suppose 2*b = z*n + 4, b + n + 3 = 2*b. Let l(v) = -v**2 + 6*v + 3. Calculate the remainder when l(5) is divided by b.
3
Let b = -246 - -414. Calculate the remainder when b is divided by 19.
16
Suppose -186 = -4*u + 2*n, -u + n = -2*u + 51. Calculate the remainder when u is divided by 13.
9
Let d = 335 + -158. What is the remainder when d is divided by 20?
17
Let j be (-1)/(-6) - 29/(-6). Suppose 0 = 5*n - l - 109, j*l = -2*n - 0*l + 22. What is the remainder when n is divided by 11?
10
Suppose 0 = a - m - 7, 2*m = -4*a + 21 + 25. Calculate the remainder when 0/2 - -1 - -38 is divided by a.
9
Let p(n) = 16*n + 11. Calculate the remainder when p(2) is divided by 27.
16
Suppose -59 = -4*l + 25. Let c = 37 - l. What is the remainder when c is divided by 9?
7
Let l = -39 + 88. Suppose 3*k - 64 = -5*z, k = -k - 4*z + 46. What is the remainder when l is divided by k?
10
Suppose 0 = 2*a - 5*a + 252. Suppose 0 = -4*l - 0*l + a. What is the remainder when l is divided by 11?
10
Let t = 13 - 6. Let j = -4 + t. Let w = -3 - -5. What is the remainder when j is divided by w?
1
Let l = 44 + -5. Let a = 80 - l. What is the remainder when 