 = -9*t + 4*t - 5. What is the remainder when 5*(t - (-54)/10) is divided by (-3 + 1 + 10)/1?
6
Let u(g) = g**3 - g + 9. Let z be u(0). Calculate the remainder when (-1815)/(-27) - 2/z is divided by 23.
21
Let u be (-72)/60*(0 - 5). Suppose u*r - 24 = 2*r. What is the remainder when r is divided by 4?
2
Suppose 5*g - 5 - 50 = 0. Suppose -a - g = -26. Suppose 3 = 2*j - a. What is the remainder when j is divided by 5?
4
Let s = 22 - 2. Let i(v) = v**3 + 5*v**2 - 8*v - 7. Let a be i(-6). Suppose 4*g = a*f - 23, 5*f + g = -3*g + 47. What is the remainder when s is divided by f?
6
Suppose o + 3*o - 9 = r, -3*r - 2*o + 43 = 0. What is the remainder when r is divided by 5?
1
Suppose -4*i - 7 = 13, 3*i = a - 36. What is the remainder when a is divided by -2 - (-11 + 3 + -2)?
5
Suppose -78 + 205 = 2*v - g, -3*g = -3*v + 192. Calculate the remainder when v is divided by 22.
19
Suppose 4*o = q + 89, -2*q = -2*o + q + 47. Suppose s - o = -s. Let u = 2 + s. Calculate the remainder when 24 is divided by u.
11
Suppose 0*h - 3760 = -10*h. Calculate the remainder when h is divided by 76.
72
Let k = 161 - 99. Suppose -4*j + 2*r + k = 0, -3*r + 36 = 4*j - 31. Calculate the remainder when 29 is divided by j.
13
Suppose 2*p - 5*p = 2*u - 3, -5*p = u - 5. Let x = 4 + u. What is the remainder when 11 is divided by x/6*3 - -4?
5
Let w = -10 - -17. Calculate the remainder when 20 is divided by w.
6
Suppose 3*i - 13 = i + n, n = -5. Suppose 98 = i*p - 74. What is the remainder when p is divided by 15?
13
Let u = 16 - 10. Suppose -5*r = -42 - 63. What is the remainder when r is divided by u?
3
Let f(d) = -d**2 + 35 - 19*d - 5*d**2 - 6. Let c(k) = -k**2 - 4*k + 6. Let i(n) = 11*c(n) - 2*f(n). What is the remainder when 14 is divided by i(6)?
6
Let k = 1 - 1. Let g = k + 1. Suppose a + g = -u, -3*u - 6 = 3*a - a. Calculate the remainder when 10 is divided by a.
1
Let m(h) = -h. Let s(c) = 12*c + 4. Let d(t) = 10*m(t) + s(t). What is the remainder when 45 is divided by d(4)?
9
Let c be (-68)/(-18) + 4/18. Let v = c + -1. Suppose 0 = -v*n + q + 8, -6*n + 2*n = q - 20. Calculate the remainder when n is divided by 3.
1
Suppose 0*s - 3*s = -j - 6, 3 = -3*j + 4*s. Let w(v) be the first derivative of v**3/3 + 3*v**2 + 5*v + 2. What is the remainder when w(-6) is divided by j?
2
Suppose 4*w + r + 54 = 0, 4*w + 2*r = w - 43. Let o = w - -21. What is the remainder when 57 is divided by 57/4 + 6/o?
12
Let g(l) = 8*l**2 - 4*l - 2. What is the remainder when 128 is divided by g(2)?
18
Let z(r) = r + 5. Let t be z(5). Let g = t - 4. What is the remainder when 11 is divided by g?
5
Let k = 81 + -70. Suppose q - 2 + 6 = 5*u, 4*q = 5*u + 59. What is the remainder when q is divided by k?
10
Suppose 0 = -4*g - 4*s + 8*s - 4, 4*g - 5*s = -7. Suppose g*w + 8 = -2*w + 5*l, 3*l + 12 = 0. Let j = 9 - w. What is the remainder when 47 is divided by j?
15
Suppose -3*v + 23 = -2*c, -2*v + 2*c + 37 = 3*v. What is the remainder when 32 is divided by v?
4
Suppose 3*f = -f. Let d(x) = -10*x - 22. Let m be d(-16). Suppose 4*t + 5*l - m = f, 0 = 2*t + 3*l - 4 - 64. What is the remainder when t is divided by 19?
18
Let k be 1 + 0 + -1 - -5. Suppose 3*p - 2*q = 397, k = 4*p + 4*q - 531. Suppose p = 3*g - 8. What is the remainder when g is divided by 16?
15
Let m be (-16)/(-56) - (-51)/(-7). Let q = m + 31. Calculate the remainder when q is divided by 13.
11
Let h = -23 + 38. What is the remainder when 26 is divided by h?
11
Let y(g) = g**2 - 3*g + 3. Let a be y(2). Let m = 9 - a. Calculate the remainder when 15 - 0 - (-2 - -3) is divided by m.
6
Let t(i) = i**2 - 2*i - 5. Let c be t(4). Suppose -5*g = -c*k - 124, 2*g - 3*g + 29 = -2*k. What is the remainder when 1/((-9)/(-204))*3 is divided by g?
22
Suppose 6*v - 2*v - 72 = 0. Calculate the remainder when 70 is divided by v.
16
Let k(w) = -w**3 - w**2 + 7*w + 6. Calculate the remainder when k(-4) is divided by 7.
5
Suppose 0 = a + m + 1, 3*a - 3 = 4*m - 6. Let t be (1 + -1)/(0 - a). What is the remainder when 4/((-6)/(-21) + t) is divided by 8?
6
Suppose -3*k + 4*n + 85 = 0, -4*k + 3*n + n + 116 = 0. Suppose k = -5*g + 86. Calculate the remainder when 41 is divided by g.
8
Let u(t) = -t**3 + t**2 + 5*t - 2. Let j be u(3). Let y(h) = h**3 + 7*h**2 + 3*h + 2. What is the remainder when y(j) is divided by 13?
11
Let a(p) = 3*p**2 - p + 2. Let t be a(-2). Suppose 0 = 3*w - 11 - t. Let s = w - -1. Calculate the remainder when s is divided by 4.
2
Let d(p) = p**3 - 7*p**2 + 7*p + 7. Calculate the remainder when (-34)/(-4)*(0 + 6) is divided by d(6).
12
Let n = 11 - 6. Suppose n*m - 342 = 2*o - 143, 4*m = 3*o + 162. Suppose i = 2*h + 19 + 1, 0 = 5*i - 5*h - 85. Calculate the remainder when m is divided by i.
11
Suppose 14 = -2*a + 96. Suppose m = -4*h + 97 - 28, -h + a = 5*m. What is the remainder when 47 is divided by h?
15
Let v(o) = o**3 + 6*o**2 - o + 4. Suppose -g + 13 = -21. Suppose 0 = -4*r + 146 - g. Calculate the remainder when r is divided by v(-6).
8
Suppose 2*u - 5*u = -114. What is the remainder when 225 is divided by u?
35
Suppose 33*b - 28*b = 30. Calculate the remainder when 9 is divided by b.
3
Let j(c) = c - 2*c + 3 + 0*c. Let t be j(3). What is the remainder when (6 - t)*2/4 is divided by 1?
0
Let v(w) = w**3 + 20*w**2 + 20*w + 12. Let d be v(-19). Calculate the remainder when 117 is divided by 4/10*(d + 82).
27
Suppose 0*i = 2*i. Suppose -4*z + 156 = 7*m - 2*m, i = 4*z + 4. What is the remainder when m is divided by 11?
10
Let y = 26 + -13. Suppose 59 = 5*d - 61. What is the remainder when d is divided by y?
11
Let x = 0 - -2. Suppose 0 = -y - x, -3*y = -5*z - 0*y + 11. Calculate the remainder when 36 is divided by 1 + 16 + 2*z.
17
Let x = -8 + 3. Let w(a) = a**2 + 2*a - 4. What is the remainder when 21 is divided by w(x)?
10
Let c = -25 - -38. What is the remainder when 51 is divided by c?
12
Suppose y - 3*v - 61 = 4, -4*y + 274 = -5*v. What is the remainder when y is divided by 25?
21
Suppose 7 = k - 3*h, 28 = 3*k - 3*h + h. Calculate the remainder when 36 is divided by k.
6
Suppose 24 = t - 5*d, 0 = -t + 4*t + 4*d - 15. Calculate the remainder when 34 is divided by t.
7
Let v be (-37)/2*(-8 + 6). Let k = v - 27. What is the remainder when 19 is divided by k?
9
Suppose 5*y + 1 = 21. Suppose -y*t + 0*t = -44. What is the remainder when (-15 - 1)/((-1)/2) is divided by t?
10
Let r = -3 + 12. What is the remainder when (2 - -2)*1 - -30 is divided by r?
7
Let z be -19 - 3/(9/(-6)). Let t = 73 + z. What is the remainder when t is divided by 19?
18
Suppose 2*r - 96 = -20. What is the remainder when r is divided by 20?
18
Suppose 4*m = p - 17, -4*m = -4*p - 0*m + 92. What is the remainder when p is divided by 13?
12
Calculate the remainder when 24 is divided by -1 + (-2 - -1) - -16.
10
Calculate the remainder when 73 is divided by (14 + 1)/(2/2).
13
Suppose -8*c = 6*c - 1414. Calculate the remainder when c is divided by 13.
10
Suppose 5*c = -3*u - 0*u + 67, 3*c = 2*u + 25. Let p(f) be the third derivative of 7*f**4/8 - f**3/6 - f**2. Calculate the remainder when p(1) is divided by c.
9
Suppose 5*h = -d + 500, -241 = -4*h - 4*d + 175. Calculate the remainder when h is divided by 17.
14
Let f(h) = h**2 - 3*h + 4. Calculate the remainder when 87 is divided by f(-3).
21
Suppose -3*i = -8 - 1. Suppose -13 = -i*m + 4*x + 106, -175 = -5*m + 2*x. What is the remainder when m is divided by 12?
9
Suppose 2*o = -4*u + 20, -2*u + 25 = 3*u + 5*o. Calculate the remainder when 13 is divided by u.
3
Suppose -111 = -3*y - 3*l, 0 = 3*y - 3*l - 31 - 56. What is the remainder when y is divided by 12?
9
Let s(o) = o**3 + 9*o**2 + 3*o - 5. What is the remainder when s(-7) is divided by 15?
12
Let f(q) be the first derivative of -1 - q**3 + 0*q - 2*q**2 + 1/2*q**4. What is the remainder when 43 is divided by f(3)?
13
Suppose -2*h - 16 = -3*h - 2*p, 27 = 2*h + 3*p. Let i(q) = 3*q**2 - q**2 + 0*q**2 + q - 2. What is the remainder when h is divided by i(-2)?
2
Let t(o) = 3*o**3 - o**2 - 4*o. Calculate the remainder when 22 is divided by t(2).
10
Suppose 4046 - 686 = 21*r. What is the remainder when r is divided by 54?
52
Suppose 2 = -a + 8. What is the remainder when 28 is divided by a?
4
Suppose -3*q + 80 = z, -2*q + 8 = -q + 5*z. What is the remainder when q is divide