p - 42*p. What is the remainder when p is divided by z(1)?
19
Let n = 5435 + -5312. Let p(l) = 3*l + 2. What is the remainder when n is divided by p(4)?
11
Let f = -175 - 8. Let n = f - -276. What is the remainder when n is divided by 24?
21
Let s = 918 + -893. Calculate the remainder when 195 is divided by s.
20
Suppose -39*c + 2310 = -33*c. What is the remainder when c is divided by 65?
60
Calculate the remainder when (-462)/(-15)*(-5)/(-2) is divided by 20.
17
Suppose 120*v + 54 = 123*v. What is the remainder when 771 is divided by v?
15
Calculate the remainder when 57 is divided by -2*27/(-18) - -20.
11
Suppose -3*y + 1156 = -2*i, 3*y + i = 796 + 372. Calculate the remainder when y is divided by 121.
25
Let w be -3 - (-1 + -2 + 4). Let v = -1 - w. Calculate the remainder when 14 is divided by v.
2
Suppose 2*u + 0*u - 50 = 0. Let w(o) = -10*o + 186. What is the remainder when w(9) is divided by u?
21
Let a(f) = -8*f + 22*f - 12*f + 6 - 4. Calculate the remainder when 117 is divided by a(14).
27
Let m(u) = 1. Let o(h) = h + 18. Let a(y) = -3*m(y) + o(y). Let t be a(-8). Suppose t*j - 5*j = 44. What is the remainder when j is divided by 8?
6
Let y be (-1)/2 + 1/2. Let r = y + -3. Calculate the remainder when (2/r)/((-16)/2616) is divided by 28.
25
Let v(k) = 10*k**2 - 198*k + 4. What is the remainder when 114 is divided by v(20)?
26
Let p(b) = 3*b**3 - 3*b + 1. Let q(a) = -19*a - 185. Calculate the remainder when p(2) is divided by q(-10).
4
Suppose 5*v = 3*w + 37, 34 = w - 5*w - v. Calculate the remainder when -1 - 402/w - (-1)/3 is divided by 9.
8
Suppose 77 - 415 = -26*w. What is the remainder when 116 is divided by w?
12
Let k(i) = -9 - 3*i + 0*i**3 + i**3 + 6*i**2 - 4. Let h be k(-6). Suppose o - h = -0. Calculate the remainder when 18 is divided by o.
3
Suppose -3*y + 63 = -90. What is the remainder when y is divided by 30?
21
Suppose 0 = -x - 3, 5*s - 2*x = -0*x + 416. What is the remainder when s is divided by 42?
40
Let n(s) = 2*s**2 - s + 9. Let o(b) = b + 1. Let y be o(1). Let a = 15 - y. What is the remainder when n(4) is divided by a?
11
Suppose -24 = -3*d - 0*d. Suppose -7 - d = -5*j. What is the remainder when j/(-9) + 654/18 is divided by 13?
10
Let x(s) = 2*s**2 - 41*s + 25. What is the remainder when 25 is divided by x(20)?
0
Let r(h) = h**3 - h**2 - h - 3. Let i be r(3). Suppose 0 = -i*z + 7*z + 90. Suppose 0 - z = -n. Calculate the remainder when n is divided by 10.
8
Suppose 442*g = 447*g - 1785. What is the remainder when g is divided by 60?
57
Suppose -54 = 6*p - 9*p. Let t(i) = -i + 12. Let b be t(11). What is the remainder when ((-4)/16)/(b/(-212)) is divided by p?
17
What is the remainder when 88 is divided by (-302)/(-6) - 11/33?
38
Suppose j - 60 = -2*d + 3, -157 = -3*j + 2*d. What is the remainder when 322 is divided by j?
47
Let q(a) = -12*a + 2. Let j be q(-4). Let f be 170/(-34)*(-1 - 1). Suppose 3*d - f = j. Calculate the remainder when 76 is divided by d.
16
Let w = 17 - 7. Suppose -3*l = -15, 14*l - 12*l = 5*k - 15. What is the remainder when w is divided by k?
0
What is the remainder when 74/5 + (-3)/(-15) is divided by 6?
3
Suppose 0 = -0*n + n. Suppose -3*a + 0*a - 5*y + 238 = n, -4*a - 4*y = -320. Calculate the remainder when a is divided by (-59)/(-2) - (27/(-2))/(-9).
25
Suppose 0 = 7*g - 36 - 195. Calculate the remainder when 37 is divided by g.
4
Let h(a) = -10 + 14*a - 8*a**2 + 10*a - 17*a - a**3 + 2. What is the remainder when 49 is divided by h(-9)?
9
Suppose 0*s + 2*s - 16 = -3*m, 0 = -5*s + 4*m - 6. Suppose 0 = -s*a - 10 + 36. Suppose -78 = -6*h + 60. Calculate the remainder when h is divided by a.
10
Suppose 0 = 5*m + 4 - 489. Suppose -5*r = -117 - 8. What is the remainder when m is divided by r?
22
Suppose -494*h = -490*h - 148. Calculate the remainder when 300 is divided by h.
4
Let l = -268 - -404. What is the remainder when l is divided by 7?
3
Let d = 33 + 0. What is the remainder when (112/(-42))/(-4)*(0 - -147) is divided by d?
32
Suppose 46 = o - 4*x + 26, 3*x = 4*o - 106. What is the remainder when 76 is divided by o?
20
Suppose 2 = -2*g + 8. Calculate the remainder when 18 is divided by 21*(-2)/(-9 + g).
4
Suppose 3*o + 113 + 20 = i, 0 = 5*i - 5*o - 615. What is the remainder when i is divided by 20?
18
Suppose -3*p - 11 = 5*q, -p - 4*q + 6*q = 0. Suppose 0 = -4*c - 7 - 1, -5*h - 4*c + 7 = 0. Calculate the remainder when 26 - (3 + p) - h is divided by 12.
10
Suppose 7*q = 3*g + 3*q - 422, 5*g = 2*q + 680. What is the remainder when g is divided by 75?
59
Let t = 2449 - 1829. Calculate the remainder when t is divided by 70.
60
Suppose 0 = -5*w + 45 + 30. Let b = w + -12. Suppose 87 = -5*d - 2*a + 284, -5*a + 103 = b*d. Calculate the remainder when d is divided by 21.
20
Let f = 54 - 30. Let d(q) = q**3 - 7*q**2 + 4. Let j be d(7). Let w(t) = -t**2 + 6*t + 1. Calculate the remainder when f is divided by w(j).
6
Let g(o) = -o**2 + o + 11. What is the remainder when (57/38)/(290/(-296) - -1) is divided by g(0)?
8
Let t(g) = 22*g - 51. What is the remainder when t(5) is divided by 33?
26
Let m be (-3)/((-35)/20 + 1). Suppose 0 = 4*r - 20, m*r = 4*b + 9 - 21. Calculate the remainder when b is divided by 8.
0
Let y = -1374 - -1386. What is the remainder when 269 is divided by y?
5
Let f = -43 + 38. What is the remainder when 18 - (0 - (-5)/f) is divided by 10?
9
Let a(z) = -z**2 + 13*z - 18. Suppose 3*f = -2*f + 50. What is the remainder when 20 is divided by a(f)?
8
Let r = -15 + 15. Suppose 2*i + 2*d + 150 = r, 0 = 4*d + 5 - 1. Let o = i - -152. Calculate the remainder when o is divided by 40.
38
Let p(z) = 2*z**2 - 41*z - 23. Calculate the remainder when p(24) is divided by 52.
41
Let h(k) be the first derivative of -4*k**2 + 3*k + 8. Calculate the remainder when h(-7) is divided by 20.
19
Suppose 0 = 5*z - 3*p - 2*p - 45, -3*p = 3*z - 9. Suppose -z*c - 94 = -8*c. Let j = c - 19. Calculate the remainder when j is divided by 10.
8
Let n(a) = a**3 - 4*a**2 + 4*a - 1. Let m be n(3). Suppose -m*v - 102 = v. Let y = 7 - v. What is the remainder when y is divided by 14?
13
Let p(a) = -a**2 - 8*a - 2. Suppose 5*m = b + 22, 0 = -2*m + 5 + 1. Calculate the remainder when 18 is divided by p(b).
3
Suppose -4*i + y + 492 = 0, -4*i - 157*y + 162*y = -508. Calculate the remainder when i is divided by 41.
40
Let v(t) = -48*t - 3. Let u be (0/(-3 + 6))/2. Let s(m) = -m**2 + m - 2. Let x be s(u). What is the remainder when v(x) is divided by 24?
21
Let t(v) = -4*v - 12. Let z(c) = c - 12. Let s be ((-15)/10)/((-1)/2). Let p be z(s). Calculate the remainder when t(p) is divided by 10.
4
Let i = -78 - -605. Calculate the remainder when i is divided by 48.
47
Let z(c) = -c**2 + 2*c - 10. Let j be z(-5). Let b = -38 - j. Let d(i) = -i**3 + 5*i**2 + 6*i - 4. Calculate the remainder when d(5) is divided by b.
5
Suppose 10*n - 5*k = 9*n + 818, 0 = -n - 5*k + 828. What is the remainder when n is divided by 103?
102
Suppose 15 = 5*u + m + 2, 0 = -2*u + 2*m - 2. Suppose 35 = 3*p + 2*c - 13, -u*c = -2*p + 22. Calculate the remainder when 41 is divided by p.
13
Suppose -38*s + 3885 = -s. What is the remainder when s is divided by 236/20 + 1/5?
9
Let o(i) be the third derivative of i**4/8 - 8*i**3/3 - 14*i**2. What is the remainder when 22 is divided by o(8)?
6
Suppose 2*y + 51 - 15 = -5*i, -2*i = -2*y + 6. Calculate the remainder when (-8)/(-3)*18/8 is divided by 2 - (-4 - i - 2).
0
Suppose 3*z + 40 = 5*y - 2*z, -3*y = -4*z - 25. Suppose -120 = 2*r - y*r. Let c = r - -19. Calculate the remainder when c is divided by 15.
13
Suppose -7*f + 16*f = 27. Suppose -q = f*n - 18, -q + 0*q + 53 = -4*n. Calculate the remainder when q is divided by 7.
5
Let z(q) = q**3 + 18*q**2 + 20*q + 35. Let p be z(-17). What is the remainder when 22 is divided by p/(-6) - (-6)/18?
1
Suppose 5*s + 2*p - 24 - 123 = 0, 0 = 2*s - 2*p - 56. What is the remainder when s is divided by 8?
5
Let d(t) be the first derivative of -t**4/4 - 5*t**3/3 + 4*t**2 + 9*t - 4. Let h be d(-6). Calculate the remainder when 14 is divided by 4/(h/(-24)*4).
6
What is the remainder when 97 is divided by 18760/940 + (-6)/(-141)?
17
Suppose 2*k + 5 = k, -2*x + 4*k = -66. What is the remainder when x is divided by 15?
8
Suppose 0 = -6*t + 2*t + 8. Calculate the rem