d by m.
6
Let t(m) = 3*m + 4. Let h = -11 - -15. Suppose 20 = h*j - 12. What is the remainder when t(3) is divided by j?
5
Suppose 2*z = 0, 6 = -3*i + 4*z + z. Let s be ((-2)/4)/(i/12). Suppose -s*d + 3*c + 7 = -77, 5*d + c = 110. What is the remainder when d is divided by 8?
7
Calculate the remainder when 65 is divided by 12 + (4 - (0 + -1)).
14
Let d(l) = 2*l**3 + l**2 + 2. Let m be d(-3). Let j = -31 - m. Calculate the remainder when 53 is divided by j*((-6)/(-4) + 0).
17
Suppose 0 = -4*z - 8, -5*l - 3*z = -z - 6. Suppose 0*g + l*g = 18. Calculate the remainder when 16 is divided by g.
7
Suppose -j + 9 + 47 = 0. Suppose -2*d + j = 2*o, -3*o + 19 = d - 7. Calculate the remainder when d is divided by 15.
14
Suppose -4 = 3*j - 4*j. What is the remainder when (-3)/2 - (-135)/18 is divided by j?
2
Suppose o = 5*n + 46, 4*n - 3*n + 182 = 5*o. Suppose -o = -2*u - 2*u. What is the remainder when 24 is divided by u?
6
Let f(n) = -3*n + 3. Let h be (1/2)/(4/(-56)). Let b(u) = u + 2. Let p be b(h). Calculate the remainder when 35 is divided by f(p).
17
Suppose 0 = 3*u + u - 312. Calculate the remainder when u is divided by 20.
18
Let i(u) be the third derivative of u**5/60 + u**4/24 + 7*u**3/6 - 2*u**2. Let q be i(-5). Let z = 1 + q. What is the remainder when z is divided by 10?
8
Suppose -3 - 5 = 2*c. Calculate the remainder when (-3)/12 - 89/c is divided by 8.
6
Let p(d) = -d**2 + 2*d + 16. What is the remainder when p(0) is divided by 94/10 + (-4)/10?
7
What is the remainder when 46 is divided by 4/(-2) - -4 - -23?
21
Let y(a) = -a**2 + 5*a + 16. Calculate the remainder when 10 is divided by y(7).
0
Let f(w) = 4*w + 1. Suppose 4*x - 8 = 2*x. Suppose 2 = x*b - 2*b. What is the remainder when 9 is divided by f(b)?
4
Suppose 0 = o + 2*o - 21. Let p(x) = x**2 - x - 4. Calculate the remainder when p(-5) is divided by o.
5
Let y = 237 - 147. Calculate the remainder when y is divided by 34.
22
Let g(a) = -a**2 + 11*a + 1. Let c be g(10). Calculate the remainder when 39 is divided by c + 1 - 1*2.
9
Suppose 0 = 2*j - 14 - 6. What is the remainder when 35 is divided by j?
5
Suppose -9 = -5*c + 71. Suppose 215 = 5*n - 2*u, 70 = 2*n - u - 3*u. Calculate the remainder when n is divided by c.
13
Let h(z) = z**3 + 6*z**2 + 4*z - 1. Let n be h(-5). Suppose -128 = -3*k + n*f - 3*f, -2*f = -5*k + 212. Calculate the remainder when k is divided by 15.
14
Let s = -11 - -6. Let o(c) = c**3 - 8*c**2 - 8*c + 2. What is the remainder when o(9) is divided by 3/s + 23/5?
3
What is the remainder when 58/3 + (-1)/3 is divided by 7?
5
Suppose 2*h - 4*h + 160 = 5*v, -4*v = 3*h - 254. What is the remainder when h is divided by 23?
21
Suppose 7*x = -28 + 119. What is the remainder when 24 is divided by x?
11
Let n(j) = 2*j**2 + 5*j + 2. Let c be n(-4). Suppose 0 = 107*x - 101*x - 294. What is the remainder when x is divided by (-4)/c - (-121)/7?
15
Let z = 96 + -33. Calculate the remainder when z is divided by 13.
11
What is the remainder when 37 is divided by ((-21)/(-2) + -1)/((-1)/(-2))?
18
Suppose -y + q = 0, -6 - 2 = -2*q. Suppose -38 = -y*m + 86. Suppose 0 = -4*k - 2 + 46. Calculate the remainder when m is divided by k.
9
What is the remainder when 32 is divided by (3 + -4)*(-13 + 4)?
5
Let v(k) be the second derivative of k**3/6 + 8*k**2 + 2*k. Calculate the remainder when 17 is divided by v(-10).
5
Let p = -10 + -7. Let x = p + 20. Let r = -9 - -15. What is the remainder when r is divided by x?
0
Let y = -24 - -26. Suppose 4*t - 6 = -o, -3*t + 5 = 3*o - 4. What is the remainder when y is divided by t?
0
Suppose 3*y - 10 = -n + 73, 4*y - 5*n - 98 = 0. What is the remainder when 79 is divided by y?
25
Suppose -2*k + 20 = 4*p, 7 = 5*k - 4*p - 1. Suppose -k*j + 2*a - 206 = 0, -j + 2*a = 7*a + 57. Let s = j + 74. Calculate the remainder when s is divided by 12.
10
Let f(d) = 2*d + 9. Let w = -71 + 128. What is the remainder when w is divided by f(10)?
28
Suppose 0 = 4*a + u + u - 88, 0 = 3*a + u - 66. What is the remainder when a is divided by 6?
4
Let x(k) = 2*k**2 - 8*k + 17. Suppose n + 43 = 3*o, o + n = -3*n + 10. Calculate the remainder when x(6) is divided by o.
13
Suppose -2*k = 4*f - 508, 5*f + 3*k = 2*f + 375. What is the remainder when f is divided by 12?
9
Let v(g) = -g**3 + 3*g**2 - 3*g + 17. Calculate the remainder when 48 is divided by v(0).
14
Suppose 28 = -3*v + 7*v. Suppose -v + 47 = 5*b. What is the remainder when 23 is divided by b?
7
Let u = -7 - -49. Calculate the remainder when u is divided by 15.
12
Let t(z) = -z + 29. Calculate the remainder when 83 is divided by t(12).
15
Let l(g) = -g + 4. Let u be l(-6). Let p(a) = u + a + 6 - 2*a. What is the remainder when 30 is divided by p(0)?
14
Let t(w) = -w**3 - 6*w**2 + 4. Let o be t(-6). Suppose -3*g + o*g = -3*j + 34, 0 = 4*j + 4*g - 32. Calculate the remainder when 36 is divided by j.
10
Calculate the remainder when 6/4 - (-14)/4 is divided by 1.
0
Let s(r) = -r**3 + 15*r**2 + 6. Calculate the remainder when 22 is divided by s(15).
4
Suppose 0 = -13*x + 61 + 147. Calculate the remainder when x is divided by 8 - 1/((-2)/(-4)).
4
Suppose 4*v = 5*q + 96, -3*v + q + 72 = -0*q. Calculate the remainder when 166 is divided by v.
22
Let o = -19 - -27. Calculate the remainder when 30 is divided by o.
6
Let w = 6 - 17. Let c = w + 21. Calculate the remainder when 27 is divided by c.
7
Suppose 0 = -4*d + 4. Suppose -3*o + 7*a = 2*a - 27, -3*a = -3*o + 33. What is the remainder when o is divided by d + (-5)/((-15)/12)?
4
Let w = 83 - 71. Suppose 4*b + 2*m = 134, 1 = 2*m - 1. What is the remainder when b is divided by w?
9
Suppose u + 3*o = 71, -3*o = -5*u - 0*o + 301. Calculate the remainder when u is divided by (1 + (-57)/(-6))*2.
20
Suppose 4*s = 2*g + 34, 0*s + 3*s - g = 23. Let q = 13 - 13. Suppose q*a - 63 = -7*a. Calculate the remainder when a is divided by s.
3
Let o = -41 - -76. Let d = -22 - -34. What is the remainder when o is divided by d?
11
Let c(k) = 14*k**3 - k**2 + k + 1. Calculate the remainder when c(1) is divided by 10.
5
Let f be (9/(-2))/((-3)/(-6)). Let q = -7 - f. Calculate the remainder when 3 is divided by q.
1
Let q = 2 + 15. Calculate the remainder when 66 is divided by q.
15
Suppose -4*r + 99 = -229. What is the remainder when r is divided by 42?
40
Suppose 61 = 3*l - 2*s, l - 3*s - 22 - 10 = 0. Calculate the remainder when 31 is divided by l.
14
Suppose -3*m = -3*s + 123, 3*m = 2*s - 6*s + 143. Let d = s + -25. Suppose 2*u + 34 = 110. What is the remainder when u is divided by d?
12
Let n(b) = b**3 + 23*b**2 + 41*b - 6. What is the remainder when 69 is divided by n(-21)?
9
Let w = 7 + 4. Suppose 19 = 3*s - w. What is the remainder when s is divided by 4?
2
Let r be 6*((-6)/(-4))/(-3). Let q be r/(-2)*184/6. Let p = -12 + q. What is the remainder when p is divided by 12?
10
Let l(x) = x + 15. Suppose v + 3 = 0, v + 4 = -5*w + 3*v. Calculate the remainder when l(-8) is divided by (-8)/(-2) + w + 1.
1
Suppose 5*d + 4*c + 5 = 0, 3*d + c + 1 = -c. What is the remainder when 12 is divided by d?
0
Let a(d) = d**2 - 9*d + 1. Let c be a(4). Let f = 33 + c. Calculate the remainder when 41 is divided by f.
13
Let c = -4 - -4. Suppose -3*i - 16 - 8 = c. Calculate the remainder when 25 is divided by (-255)/(-20) - 2/i.
12
Suppose 19 + 29 = 2*w. Calculate the remainder when w is divided by (-30)/(-70) - (-176)/14.
11
Suppose -60 = -5*w - w. Calculate the remainder when 36 is divided by w.
6
Let g(k) = -9*k**3 - k**2 - 2*k - 3. Calculate the remainder when g(-2) is divided by 18.
15
Let i = 12 - 21. Let o = 1 - i. What is the remainder when o is divided by 5?
0
Suppose 0 = 3*g - 3*q + q - 31, -q - 48 = -4*g. Let h = -1 - -2. Suppose -3*d - 3 = 0, 4*d + h - 4 = -p. What is the remainder when g is divided by p?
6
Let y = -9 + 23. Let c(o) = 7*o + 13. What is the remainder when c(6) is divided by y?
13
Let g = 35 - 23. What is the remainder when 107 is divided by g?
11
Let o be (-3 + 5)/(1/(-2)). Let w = o + 10. What is the remainder when 10 is divided by w?
4
Let d(h) = 7*h**2 + 5*h + 1. Calculate the remainder when d(-4) is divided by 24.
21
Suppose -3*i = 4*c - i - 24, i = -2. What is the remainder when 12 is divided by c?
5
Let d = -12 - -14. Let v(o) = 21*o - 2. What is the remainder when v(d) is 