 v - 1. Let c(l) = -b(l) + j(l). What is the remainder when 7 is divided by c(0)?
1
Suppose -308 = -5*n - 23. Let x(q) = q**3 - 7*q**2 + 5*q - 2. Let z be x(4). Let b = z + n. Calculate the remainder when b is divided by 7.
6
Suppose 370 = 6*v - v. Calculate the remainder when v is divided by 19.
17
Suppose 0 = 2*l - s - 20, l - 2*l - 5*s = 12. What is the remainder when 8 is divided by l?
0
What is the remainder when 24/((-10)/(-4 + -1)) is divided by 3?
0
Let q = 10 - -2. Calculate the remainder when q is divided by 7.
5
Let x(m) = -m**3 + 5*m**2 - m + 5. Let a be x(5). Suppose 0 = -5*j - a + 55. What is the remainder when 21 is divided by j?
10
Let c = -3 - -2. Let k be (-64)/(-4) - (c + 1). Suppose -u + 5*u - 2*r = k, -5*u + 2*r + 22 = 0. Calculate the remainder when 10 is divided by u.
4
Suppose -5*a + f + 27 + 7 = 0, -2*a - 4*f + 18 = 0. Let r(b) = -6*b + 5. Let z be r(a). Let s = z - -59. What is the remainder when s is divided by 12?
10
Let k = -5 - -45. Suppose 0 = -5*c + 17 + 83. Let f = -6 + c. Calculate the remainder when k is divided by f.
12
Suppose 0 = 3*t + 9, 2*u - 3*t + 5*t = 64. Calculate the remainder when u is divided by 13.
9
Let u(f) = 8*f + 4. Suppose 16 - 1 = 5*m. Suppose a - 91 = -5*o - 3*a, 0 = -4*o + m*a + 48. Calculate the remainder when u(3) is divided by o.
13
Suppose -u + 3*j + 55 = 0, 4*u - 165 = u - j. Let b be (4/(-5))/(-2)*u. Let d = b + -15. Calculate the remainder when 12 is divided by d.
5
Let n(i) = 7*i + 1. Let t be n(5). What is the remainder when t - 3/(3/(-3)) is divided by 14?
11
Let t = -156 - -178. Let l = 9 - 4. Suppose -m = -l*d + 3*m + 313, m = 3. Calculate the remainder when d is divided by t.
21
Suppose 0 = -3*d + 4*o + 40, -2*d - 3*o = -70 + 15. Suppose -z = z - 22. Calculate the remainder when d is divided by z.
9
Let u(j) = -j**2 + 17*j - 32. Calculate the remainder when 97 is divided by u(13).
17
Suppose a = -a + 28. What is the remainder when (36/(-21))/(2/(-63)) is divided by a?
12
Let v = -7 - -21. Calculate the remainder when (4/(-3))/(2/(-60)) is divided by v.
12
Let s = -69 - -108. Calculate the remainder when s is divided by 8.
7
Suppose 14 = 5*z - 6. Suppose 5*q + 19 = p + 2*p, 56 = z*p + q. Calculate the remainder when p is divided by (-2 + 1)/((-2)/14).
6
Suppose 0 = -j - 4*j - 20, -3*g = -5*j - 53. Calculate the remainder when g is divided by 9.
2
Suppose -3*r + 198 = 3*d, 3*d - 2*r = -0*r + 208. What is the remainder when d is divided by 26?
16
Let m(f) = 10*f - 10. Calculate the remainder when m(4) is divided by 8.
6
Let i = -4 + 6. Let x = 0 + i. What is the remainder when (-307)/(-5) - x/5 is divided by 21?
19
Let t(x) = -10*x - 1. What is the remainder when t(-1) is divided by 3?
0
Suppose 5*x = 3*p + 5 + 14, 3*p = -9. Let c be -1 - 2/(-1)*x. Suppose 24 = i + c*r, -2*i + 3*i + 2*r - 25 = 0. Calculate the remainder when 79 is divided by i.
25
Suppose t - 3*t = -4*c - 30, -4*c + 75 = 5*t. Calculate the remainder when 58 is divided by t.
13
Let v = 1 + 0. Let k = 14 + -9. What is the remainder when k is divided by v*4 - (-2)/(-1)?
1
Let x(y) = y**3 + 6*y**2 - 7*y - 8. Let f be x(-7). Let h(c) = -c**2 - 10*c - 11. Calculate the remainder when 9 is divided by h(f).
4
Suppose 189 = -8*m + 15*m. Calculate the remainder when 186 is divided by m.
24
Suppose 5*f = 3*f + 32. Suppose 5*v + 2*q = 49, 3*q + 30 = v + 3*v. Calculate the remainder when f is divided by v.
7
Let a be 27/5 - 4/10. Suppose -3*f + 7 = -a. Suppose f*u + 270 = 5*m, 20 = -3*u - u. Calculate the remainder when m is divided by 17.
16
Let o = -15 + -2. Let u = -5 - o. What is the remainder when 35 is divided by u?
11
Suppose 7*k - 10*k = 4*z - 28, 2*k = -8. Let r = 15 - 9. What is the remainder when z is divided by r?
4
What is the remainder when ((-6)/(-10))/((-1)/(-5)) is divided by 1?
0
Let m(y) = 0*y - y + 26 - 28 + 2*y**3. What is the remainder when m(2) is divided by 5?
2
Suppose 2*q = -2*q + y + 391, 2*q + 3*y - 213 = 0. What is the remainder when q is divided by 25?
24
Suppose 8 - 37 = -w. What is the remainder when w is divided by 8?
5
Let t(v) = -v**3 - 1 - 4*v**2 - 3*v + 3 - 3. Let n be t(-3). What is the remainder when 5 is divided by -3*n/3 + 2?
2
Suppose -2*s = -3*g + 2*s + 111, 4*s = -5*g + 185. Suppose x = 5*x + 52. Let c = x + g. What is the remainder when c is divided by 13?
11
Suppose 5*a = a. Suppose 5*c + 4 - 59 = a. What is the remainder when c is divided by 4?
3
Suppose 0 = -4*a + 38 + 138. What is the remainder when a is divided by 16 - (3 + -1 - 1)?
14
Let u(v) = -v**3 + 8*v**2 - v + 12. What is the remainder when 14 is divided by u(8)?
2
Suppose -13 = 5*q - 58. Calculate the remainder when 35 is divided by q.
8
Calculate the remainder when 28 - (5 + (-8)/4) is divided by 14.
11
Let x be (4 - 3)*4 + 1. Suppose x*d - 189 = y - 4*y, -5*d + 15 = 0. What is the remainder when y is divided by 20?
18
Let g(y) = 2*y**2 - 10*y + 4. Let r = 36 - 25. Calculate the remainder when r is divided by g(5).
3
Let k(o) = -15*o + 17. What is the remainder when k(-6) is divided by 22?
19
Suppose 5*f - 242 = -5*y + 3*y, -f - 528 = -4*y. Calculate the remainder when y is divided by 34.
29
Let s = 4 - 5. Let i = 52 - 14. What is the remainder when i is divided by 8/(s + 14/10)?
18
Suppose 3*b - m - 174 = 0, 0 = -2*m + 4*m. Suppose b = 2*r - 44. Suppose 3*c = -12 + r. Calculate the remainder when 37 is divided by c.
11
Let u = 54 + -32. Let v(w) = w**3 + 7*w**2 + 4*w. What is the remainder when u is divided by v(-6)?
10
Let l = 102 - 65. Calculate the remainder when l is divided by 13.
11
What is the remainder when 34 is divided by (1 - 1 - 2) + 14?
10
Let f(d) be the second derivative of d**4/12 + 4*d**3/3 + d**2/2 + 4*d. Calculate the remainder when 18 is divided by f(-9).
8
Suppose -5*d + 5*g = -165, 2*d + g - 46 = 14. What is the remainder when 121 is divided by d?
28
Suppose 0 = -3*u + 13*u - 50. What is the remainder when 16 is divided by u?
1
Let m be 2/7 + (-27)/21. Let h be (0 - m)/((-3)/(-9)). Suppose 0 = -2*b - u + 93, -b - 191 = -5*b - h*u. What is the remainder when b is divided by 23?
21
Suppose -3 = -2*u + 1. Let p be -3*(-14)/3*u. Suppose 5*d + 19 = 4*t - 37, 4*t + 2*d = p. What is the remainder when 25 is divided by t?
7
Let a = 3 - -1. Let o(k) = -8*k - 1. What is the remainder when o(-1) is divided by a?
3
Let b(t) = t**3 + 10*t**2 + 10*t + 8. Let f be b(-8). Let d = f - 40. Calculate the remainder when 63 is divided by d.
15
Let r(n) = -4*n**2 + n - 19. Let t(w) = -2*w**2 - 9. Let g(j) = 4*r(j) - 9*t(j). Calculate the remainder when g(-4) is divided by 4.
1
Suppose 2*w + 0*w = 14. Suppose 0 = 4*i, -2*c + 3*i = -c - w. Calculate the remainder when 20 is divided by c.
6
Let z(x) = -3 - 1 + 2 + 1 + x. Let w be z(3). Let c = w + 26. Calculate the remainder when c is divided by 15.
13
Let d(a) = -a**3 - 3*a**2 - 7*a - 8. What is the remainder when 53 is divided by d(-3)?
1
Suppose 2*l + g + 3*g = 40, 105 = 4*l + 3*g. Calculate the remainder when 58 is divided by l.
28
Let m(h) = -2*h**2 - 2*h + 3. Let n = 3 + -1. Let c be m(n). What is the remainder when 94/18 - (-2)/c is divided by 3?
2
Let x = -46 - -90. Suppose -2*d + 4*f + 16 = 0, -4*d - f = -9*d + 22. Let w(r) = 3*r + 3. Calculate the remainder when x is divided by w(d).
14
Let f(c) = c**2 + 6*c - 3. Let x(n) = n**2 + n + 3. Let l be x(-4). Suppose 5*o - l + 0 = 0. Calculate the remainder when f(-7) is divided by o.
1
Let c = 5 - 1. Suppose 3*h - 9 = b, 5*b + 12 = 4*h + c*b. Suppose -h*d + 4*s + 92 = d, 0 = 2*s + 10. Calculate the remainder when d is divided by 10.
8
Let t(c) = 2*c**3 + 1. Let r be t(1). Let u = 1 + r. Suppose s - 4*a - 270 = -u*s, -a + 121 = 2*s. Calculate the remainder when s is divided by 20.
18
Suppose 4*l + 8 = -12. Let q(s) = -3*s - 4. Calculate the remainder when 43 is divided by q(l).
10
Let c be ((-14)/(-6) - 2)*-3. Suppose -38 = -2*k + k. Calculate the remainder when k is divided by 48/3 + -2 + c.
12
Suppose 136 = 518*l - 514*l. Let y(f) = 2*f**3 - 2*f**2 + 3*f - 2. Calculate the remainder when l is divided by y(2).
10
Suppose 2*g = -0*g + 34. Suppose 0 = -3*q - 5*m + 2, -4*q + 2*m = 5*m - 21. Let l = g - q. Calculate the remainder when l is divided by 5.
3
Let w = -12 - -9. Let y(z) = -16*z - 3. Calculate the rema