. What is the remainder when l is divided by 7?
6
Let v(j) = -j**2 - 10*j - 9. What is the remainder when 58 is divided by v(-7)?
10
Suppose 0 = 6*o - 3*o - 12. Suppose o*t - 22 - 10 = 0. What is the remainder when 45 is divided by t?
5
Let q(c) = 5*c**2 + 5*c - 9. Calculate the remainder when q(2) is divided by 18.
3
Suppose -5*b + 126 = -2*s - 134, 0 = -2*b + 4*s + 88. Suppose -v - 2*v = -b. What is the remainder when 53 is divided by v?
17
Let x be (6/(-9))/(4/(-186)). Let q = 47 - x. Calculate the remainder when q is divided by 6.
4
Suppose q = -3*q + 140. Suppose -4*o = 4*n - 60, 22 + 2 = 3*o - 4*n. Calculate the remainder when q is divided by o.
11
Suppose 3*m - 55 = 11. Let l be -4*(2 + 6/(-4)). Let r(j) = j**2 - j + 2. Calculate the remainder when m is divided by r(l).
6
Suppose -10*q + 12*q - 16 = 0. What is the remainder when 11 is divided by q?
3
Let m = 16 + -2. Let n = -64 + 111. Let t = 73 - n. Calculate the remainder when t is divided by m.
12
Suppose -3*v + 0*o = -o - 38, -4*v - 5*o = -19. Calculate the remainder when 17 is divided by v.
6
Let a = 30 + -18. Suppose -a = 5*v - 2, 0 = -5*o - v + 63. Let z(h) = 6*h**3 - 3*h**2 + h. Calculate the remainder when z(2) is divided by o.
12
Calculate the remainder when (-1230)/(-42) - 2*2/14 is divided by 16.
13
Suppose 2*r + 11 - 27 = 0. Suppose -2*y = -2*v - 54, -5*v + 4 = -3*y + 77. Calculate the remainder when y is divided by r.
7
Suppose s = -5*m + 3*s + 30, 2*m = 2*s + 6. Suppose -5 = -3*r + 4. What is the remainder when m is divided by r?
2
Let i(m) = m**2 + m + 2. Suppose 5*n - 4 + 24 = 0. What is the remainder when 27 is divided by i(n)?
13
Let x = -90 + 189. Calculate the remainder when x is divided by 50.
49
Let z(h) = -8*h - 8. Calculate the remainder when z(-6) is divided by (14/(-6))/(3/(-18)).
12
Suppose -5*f + 15 = 2*q, 2*f - 2 = -0*f. Calculate the remainder when 8 is divided by q.
3
Let r = -69 - -72. Calculate the remainder when 29 is divided by r.
2
Let l(q) = q + 8. Suppose -2*h - t - 13 = 0, 3*h - 5*t + 5 = -8. Let j be l(h). Suppose j*m + 0*m = 28. Calculate the remainder when 26 is divided by m.
12
Let i(w) = w**2 + w + 1. Let o = 10 - 12. Calculate the remainder when (-3)/o*32/6 is divided by i(-2).
2
Let m = 0 - 0. Let x(p) = p**3 - 5*p**2 + 6*p - 3. Calculate the remainder when m + 0 - 13/(-1) is divided by x(4).
3
Let c = 104 - 90. Calculate the remainder when 69 is divided by c.
13
Let w = 4 - 6. Let g = -3 - w. Let n(d) = -18*d**3 + 1. What is the remainder when n(g) is divided by 10?
9
Let a = 3 + 10. Let n = -8 + a. Suppose n*d + 4 = 54. What is the remainder when 17 is divided by d?
7
Let y(w) = -6*w**3 - w**2 + 1. Let n be y(1). Let p(r) = -3*r - 9. Calculate the remainder when 35 is divided by p(n).
8
Let t be (4*(5 - 4))/2. Suppose -z - 2*n = -6 - 53, 0 = z - t*n - 51. What is the remainder when z is divided by 29?
26
Let v = -26 + 6. Let y = v + 35. Calculate the remainder when 29 is divided by y.
14
Let s(y) = y - 3. Let r be s(3). Suppose 0 = -3*o - 4*b + 32, 18 = 3*o + 5*b - 19. Let h = o + r. What is the remainder when h is divided by 2?
0
Let i = -298 + 512. What is the remainder when i is divided by 24?
22
Let k(b) = 4*b**2 - 5*b - 2. What is the remainder when k(5) is divided by 15?
13
Let u(i) be the first derivative of i**2/2 + 3*i - 1. Calculate the remainder when 17 is divided by u(3).
5
Suppose 3*x = 2*f - 73, -f - 103 = -4*f - 2*x. Suppose 2*s = 4*s + 10. Let b = s + 23. Calculate the remainder when f is divided by b.
17
Let f(y) = -y**3 - 18*y**2 + 17*y - 8. What is the remainder when 117 is divided by f(-19)?
27
Suppose -92 = -5*l + 93. What is the remainder when l is divided by 8?
5
Let c(m) = -m**2 + 17*m - 12. What is the remainder when c(11) is divided by 28?
26
Suppose -z - 2*r - 877 = -4*z, z - 4*r - 299 = 0. What is the remainder when z is divided by 73?
72
Suppose -4*c = -c - 18. Suppose -3*l + 4*w = -14, 2*l - c*l = -4*w - 16. Let g = 14 - l. Calculate the remainder when 35 is divided by g.
11
What is the remainder when 51 is divided by 1*5/(-10)*-18?
6
Let m = 34 - 22. Let t(a) = 2*a**2 - 5. Let h(z) = -10*z**2 - z + 25. Let k(o) = 2*h(o) + 11*t(o). Calculate the remainder when k(-4) is divided by m.
11
Let l(d) = -8*d - 11. Let h be l(-9). Suppose 4 + h = 5*g. What is the remainder when 50 is divided by g?
11
Let l = -10 - -10. Suppose 3*c = 5 - 2. Calculate the remainder when -1 - (2 - 5 - l) is divided by c.
0
Let x(r) = r**2 + 6*r - 7. Let l be x(-5). What is the remainder when (4 + 2)*(2 - 1) is divided by l/(-18) + 10/3?
2
Suppose -168 = 2*h - 6*h. What is the remainder when h is divided by (-50)/20*(0 + -1)*6?
12
Suppose 3*x + 0*x - 9 = 0, 5*s + 3*x - 329 = 0. What is the remainder when s is divided by 22?
20
Calculate the remainder when (1 - 2)/(245/(-40) + 6) is divided by 5.
3
Let v = -6 + 38. Let b = -17 + v. Calculate the remainder when 57 is divided by b.
12
Let n(f) = 2*f**2 - 10*f + 6. Let w be n(6). Calculate the remainder when 33 is divided by w/(-4)*(-32)/12.
9
Suppose 36 = 2*p - 3*r, -3*r + 36 = 4*p - 0*r. What is the remainder when 46 is divided by p?
10
Suppose -h + 1028 = 4*m - 4*h, h = 0. What is the remainder when m is divided by 65?
62
Let r be 2 + -3*(-6)/(-9). Suppose r = -c - 2*g + 6, 5*c - 2*g + 7 - 1 = 0. Suppose -4*b - 2 + 22 = c. What is the remainder when b is divided by 2?
1
Suppose -5*f - 138 = -7*f. Calculate the remainder when f is divided by 25.
19
Let s be 14/21 - (-26)/6. Suppose -p = -11 + s. Calculate the remainder when 17 is divided by p.
5
Suppose -33 = -4*d + 167. Let l = 29 - d. Calculate the remainder when 32 is divided by (-225)/l - 4/(-14).
10
Let i(z) = -z**2 + 16*z - 28. What is the remainder when i(10) is divided by 11?
10
Suppose -41 = -4*j + 31. Let k = -9 + j. Calculate the remainder when k is divided by 4.
1
Suppose -4*p - x + 171 = 0, 0*x - 4*x = 20. Suppose 3*y - p = 5*f + 10, -48 = 5*f - y. Let m = -2 - f. What is the remainder when 12 is divided by m?
5
Suppose 4*y = 2*k + 2*k + 40, 4*y - 37 = 5*k. Suppose -2*t = 1 - y. Suppose 0 = -2*i + 2*v + t, v = 2. What is the remainder when 13 is divided by i?
3
Let f(x) = -x**2 - 13*x - 2. Suppose 3*p = 3*q + 5*p - 26, -6 = -q - 2*p. Calculate the remainder when f(-10) is divided by q.
8
Suppose 2*i - 4*i + 108 = 2*j, 0 = 3*j + 2*i - 158. Calculate the remainder when j is divided by 0 - -19 - (2 - 0).
16
Let f(b) = b**3 - b + 24. Let a be f(0). Let v = 42 - a. Suppose 3*s = 2*c - 96 + 1, -4*s + 64 = c. Calculate the remainder when c is divided by v.
16
Suppose 2*w + 7 = 17. Let a(p) = -p**3 + 5*p**2 + 3*p - 6. Let c(n) = -n**2 - 4*n + 5. Let j be c(-4). What is the remainder when a(j) is divided by w?
4
Let c = 66 + -46. Calculate the remainder when c is divided by 11.
9
Let p = -112 - -216. What is the remainder when p is divided by 19?
9
Let b(x) = 2*x**2 + 9*x + 8. Suppose -u = -16 + 2. Calculate the remainder when b(-6) is divided by u.
12
Let w be (-2 - (-40)/14)*21. Suppose 2*u + 0*u = w. What is the remainder when u is divided by 5?
4
What is the remainder when 218/3 + (0 - 4/(-3)) is divided by 11?
8
Suppose 0 = -9*o + 7*o + 2. Calculate the remainder when 51 is divided by o + 11 + -2 + 3.
12
Let u(i) = 18*i**2 + i. Suppose -8*y + 10 = -3*y. Suppose n + j = -n + 15, y*j = 2. Calculate the remainder when u(1) is divided by n.
5
Let d(c) = 13*c**2 - 2*c - 3. What is the remainder when d(-2) is divided by 14?
11
Suppose 14 + 2 = -2*j + 5*r, 4*r = -4*j + 24. What is the remainder when 16 is divided by (9/j)/(3/6)?
7
Let m(q) = -7*q**3 + 3*q**2 - 2*q + 1. Let t(p) = 20*p**3 - 10*p**2 + 5*p - 3. Let v(s) = -17*m(s) - 6*t(s). What is the remainder when v(9) is divided by 10?
7
Suppose 0 = -q + 28 - 2. Calculate the remainder when q is divided by (-1)/(-2) + (-13)/(-2).
5
Suppose 4*k - 48 = 12. Calculate the remainder when 56 is divided by k.
11
Let j be 3 - 1 - (-4 - 0). What is the remainder when 3 + j/(-3) + 24 is divided by 7?
4
Let c = -45 - -70. Let n = -167 - -241. Suppose -n = -5*m + 3*l, -8*l + 50 = 5*m - 3*l. What is the remainder when c is divided by m?
12
Suppose 92 = -5*u + 9*u. Suppose 0 = -2*q + 6*q - 52. Calculate the remainder when u is divided by q.
10
Calculate the remainder when (0 - (-68)/(-8))*-6 is