
23
Let z = 128 - 58. What is the remainder when z is divided by 18?
16
Let g(j) = -j**3 + 6*j**2 + 9*j + 4. Suppose 3 = l + 5*c - 7, 15 = 2*l + 5*c. Suppose -l*o + 6 + 29 = 0. Calculate the remainder when g(o) is divided by 10.
8
Let y(m) = -m**3 - 5*m**2 + 5*m - 1. Calculate the remainder when y(-6) is divided by 4.
1
Let y(x) = -62*x**2 - 2*x - 1. Suppose 5*v - u + 2 = 0, -3*v + 3 = -4*u - 6. Let b be y(v). Let p = b - -101. Calculate the remainder when p is divided by 14.
12
Let l(k) = -15*k**3 + 2*k**2 - 2*k + 1. Let s be l(1). Let n = 25 + s. What is the remainder when 20 is divided by n?
9
Let n = 71 - 65. What is the remainder when n is divided by 4?
2
Let l = -189 + 294. Suppose 0 = -3*y + 74 + 7. Calculate the remainder when l is divided by y.
24
Suppose 6*w - 284 = 94. What is the remainder when w is divided by 34?
29
Let g(h) = -2*h + 4. Let n be g(2). Suppose -5*c = -n - 30. What is the remainder when 10 is divided by c?
4
Let g be (-13)/(-3) + (-14)/(-21). Suppose g*x = 4*x + 17. Calculate the remainder when 31 is divided by x.
14
Let z = -41 - -26. Let h = 20 + -58. Let q = z - h. Calculate the remainder when q is divided by 12.
11
Suppose a - 6 - 10 = -2*y, -a + 3*y = -16. What is the remainder when 47 is divided by a?
15
Let h = 0 + 0. Let l = 6 - h. Calculate the remainder when 11 is divided by l.
5
Suppose 2*r - 1 + 22 = 5*q, 5*q = -5*r. Let b = q - 0. Calculate the remainder when b is divided by 3.
0
Suppose 4*y = -2*k - 0*k + 122, 3*k = 5*y - 158. Calculate the remainder when 61 is divided by y.
30
Suppose q = 5 + 10. Calculate the remainder when 59 is divided by q.
14
Let p = 7 + -9. What is the remainder when 2*86/(-8)*p is divided by 15?
13
Let z = -5 + 8. Suppose -j + 2*j = z. Suppose 2*v + 4 = 5*f - 2, 0 = j*v + 4*f - 37. Calculate the remainder when 20 is divided by v.
6
Let d = -61 - -111. Suppose 5*t = -5*b + d, t + 2 - 57 = -4*b. What is the remainder when 28 is divided by b?
13
Let g = 19 + 1. Suppose 2*c + 1 = -k - 4, -2*k = -5*c - 8. What is the remainder when ((-413)/(-28))/(c/(-8)) is divided by g?
19
Suppose 0 = 3*x - 5*x + 46. What is the remainder when x is divided by 13?
10
Let d = 9 - 12. What is the remainder when 9 - 3*(-2)/d is divided by 3?
1
Suppose 0*q - 2*l = -3*q + 79, l = 5*q - 127. Calculate the remainder when q is divided by 14.
11
Suppose -3*r = -4*c - 89, 2*r - 3*c - 60 = -0*r. What is the remainder when r is divided by 7?
6
Let d = 13 - 7. Suppose -5*t + 55 = 2*o, d*t - t + 5 = 2*o. What is the remainder when o is divided by 6?
3
Let j = 6 + -2. What is the remainder when 9 is divided by j?
1
Let t(y) = 4*y - 39. Calculate the remainder when 66 is divided by t(14).
15
Suppose -4*y = -4*b + 100, 6*b = 2*b + y + 85. What is the remainder when 58 is divided by b?
18
Let j(d) be the second derivative of -5*d**3/3 - 5*d**2/2 + d. What is the remainder when j(-4) is divided by 12?
11
What is the remainder when 4/(-24) + (-340)/(-24) is divided by 5?
4
Let p(s) be the third derivative of -s**4/2 + s**2. Let r(j) = -j - 10. Calculate the remainder when p(-1) is divided by r(-17).
5
Suppose 3*s = -2*q + 17, -4*q + 1 = -s - 12. Suppose 24 = 4*p + g, -4*p = -0*p - 4*g - q. What is the remainder when p is divided by 3?
2
Suppose -3*d = -3*j - 90, -5*j + 56 = 4*d - 82. What is the remainder when d is divided by 17?
15
Let l(z) = z**2 - 12*z + 15. Let j be l(11). Suppose 7*v - 51 = j*v. What is the remainder when v is divided by 5?
2
Let f(n) = 21*n**2. Calculate the remainder when 39 is divided by f(-1).
18
Suppose o + 2*c = 31, 0*c + 97 = 4*o - c. Suppose -5*y = 5*j - 420, 5*y - 4*j = 368 + o. What is the remainder when y is divided by 21?
18
Let v(h) = -22*h - 2. Let p = 11 + 0. What is the remainder when v(-2) is divided by p?
9
Let u(p) = 9*p**2 - p - 4. Let c = -6 - -10. Suppose -73 = -3*m - c. Calculate the remainder when m is divided by u(-1).
5
Let f(d) = 4*d - 7. Let c(m) = m**3 + 11*m**2 - 11*m + 17. Let y be c(-12). Calculate the remainder when 63 is divided by f(y).
11
Let f(u) = -7*u - 6. Let b be f(-5). Suppose 2*r - 46 = -4*i, -5*i - 1 - b = -r. Let l = r - 14. Calculate the remainder when l is divided by 6.
5
Suppose -12 = -5*t + 2*t - 3*j, 0 = 4*t + 2*j - 16. Let i(n) = -n**2 + 6*n + 5. What is the remainder when i(t) is divided by 7?
6
Let b(o) = 13*o**2 - o - 1. Let u = -8 + 59. What is the remainder when u is divided by b(-1)?
12
Let y = -83 + 139. What is the remainder when y is divided by 15?
11
What is the remainder when 20/8*(-126)/(-15) is divided by 8?
5
Let n = -18 - -46. Calculate the remainder when 53 is divided by n.
25
Let d(k) = -2*k**2 - 19*k + 10. What is the remainder when 51 is divided by d(-9)?
13
Let k(x) = -x**3 - 11*x**2 + 18*x - 9. Calculate the remainder when k(-13) is divided by 20.
15
Let p = -5 - -28. What is the remainder when p is divided by 4?
3
Let i be (4/(-6))/(7/(-21)). Let f = 2 - i. Let l = f + 4. Calculate the remainder when l is divided by 3.
1
Let s = 15 + -1. What is the remainder when 20 is divided by s?
6
Suppose 2*r - 1 = 3*s + 23, -5*r + 2*s + 71 = 0. What is the remainder when r is divided by 6?
3
Suppose -3*t - 2*t = -3*y - 20, 5*t + 5*y + 20 = 0. What is the remainder when 7*(3 + -3 + t) is divided by 4*(0 - (-3)/4)?
1
Suppose 60 = u - 17. Suppose -x + 6 = -4*r, x + x = -5*r + u. Suppose -w = w - x. What is the remainder when w is divided by 5?
3
Suppose 2*u - 44 = -4*b - 2*u, -3*u - 42 = -2*b. What is the remainder when 27 is divided by b?
12
Suppose l = 4*l - 15. Let z(s) = 2*s**2 - 2*s + 12. What is the remainder when z(l) is divided by 27?
25
Suppose 5*i + s - 4 = 0, 4 = 4*s - 12. Suppose -5*g = -i*g - 195. What is the remainder when g is divided by 10?
9
Suppose -7*w + 3*w - 3*s + 108 = 0, -4*w + 4*s + 108 = 0. What is the remainder when w is divided by 10?
7
Let m = -14 + 8. Let k be (-758)/(-8) + m/8. Suppose 2*z = k + 12. Calculate the remainder when z is divided by 18.
17
Let i(v) = 15*v**2 - 2*v + 1. Let c = -37 - -63. What is the remainder when c is divided by i(1)?
12
Let i = 23 + -8. What is the remainder when 44 is divided by i?
14
Let t be (-2)/(0 + 2) - -3. Suppose t*j + 3*j - 2*h - 52 = 0, 0 = 4*j + 3*h - 60. Calculate the remainder when (-1 + 1 - 2) + 25 is divided by j.
11
Let w(d) = -d**3 + 9*d**2 + 10*d + 10. Calculate the remainder when 57 is divided by w(10).
7
Suppose -16 = y - 5*y. Suppose -5*z + 0 = -15. What is the remainder when y is divided by z?
1
Let v be (-4)/((1 - 1) + -1). Suppose 2*y - 2*n = 26, v*y + 2*n - 52 = n. Let a = 16 - 11. What is the remainder when y is divided by a?
3
Let z(w) = w**3 - 4*w**2 - 3*w - 3. What is the remainder when 12 is divided by z(5)?
5
Let v = -17 + 30. Suppose 3*f = 9, -3*o = -o + 3*f - v. Calculate the remainder when 2 is divided by o.
0
Let z = 37 - 20. Suppose 5*u - 195 = 5*a, -5*a = -5*u - 2*a + 187. Let d = 14 + u. What is the remainder when d is divided by z?
15
Suppose 392 = 4*u + 4*s, 5*s = -u + 5*u - 419. What is the remainder when u is divided by 26?
23
Let n(j) = -5*j + 1. Let g be n(-3). Suppose r + 0 - g = 0. Calculate the remainder when 46 is divided by r.
14
Let y(d) = 2*d - 8. What is the remainder when 6 is divided by y(5)?
0
Suppose 3*y - 7*y - 3*v + 36 = 0, 0 = -4*y - 4*v + 36. What is the remainder when 26 is divided by y?
8
Let z = 41 - 32. Suppose -4*i + 3*i - 3*y + 57 = 0, -i - y = -51. Let d = -22 + i. Calculate the remainder when d is divided by z.
8
Suppose 29 = 2*n - n - 3*r, 85 = 2*n + 3*r. What is the remainder when 189 is divided by n?
37
Let m(h) = h**3 - 2*h**2 + 1. Let i be m(3). Let p = i - -13. Calculate the remainder when p is divided by 12.
11
Suppose 0 = 5*u + a - 4, -4*u + 0*a = -4*a + 16. Let y(d) = d**2 - d + 5. What is the remainder when -2 - 14/((-3)/3) is divided by y(u)?
2
Suppose 2*c = -3*c + 355. Calculate the remainder when c is divided by 18.
17
Let z = -2 - -7. Suppose 2*v - z*h = 26, -61 = -3*v - 2*h + 4*h. Calculate the remainder when v is divided by 13.
10
Let c(p) = -21*p + 9. What is the remainder when c(-6) is divided by 34?
33
Let m(d) = 14*d. What is the remainder when 110 is divided by m(2)?
26
Let v be (12/9)/((-2)/(-135)). Suppose v = 5*u - 90. Calculate the remainder when u is divided by 13.
10
Let i(n) = -10