uppose -3*w + 18 = -w. Let i = 454 - 450. What is the remainder when w is divided by i?
1
Calculate the remainder when 110/(-4)*(108/(-15))/6 is divided by 12.
9
Calculate the remainder when -5 + 2 + -2 + 22 is divided by 4.
1
Let u(c) = -5*c + 494. What is the remainder when u(11) is divided by 55?
54
Let s be (4 - 2) + (-32)/(-2). What is the remainder when (60/s)/(2/30) is divided by 11?
6
Let d(c) = 3*c - 6. Let f(n) = -n**2 + 5*n - 1. Let z be f(4). Calculate the remainder when 8 is divided by d(z).
2
Let y = -133 - -170. What is the remainder when y is divided by 15?
7
Suppose -3*v = 5*j - 78, j - 4*v = 3*j - 34. What is the remainder when 114 is divided by j?
9
Let q = 797 + -524. Suppose v = -2*v + q. Calculate the remainder when v is divided by 2 + 30/5 + 23.
29
What is the remainder when 2/(365/(-370) - -1) is divided by 41?
25
Let j = -10 - -15. Let q = 13 + -13. Let h(i) = i**2 + 2. What is the remainder when j is divided by h(q)?
1
Let c(h) = h**3 - 14*h**2 - 2*h + 54. What is the remainder when 441 is divided by c(14)?
25
Let u(a) = a**3 + 4*a**2 - 13*a - 32. What is the remainder when 39 is divided by u(-5)?
7
Let t = 20 - 1. Let b be -1*(2 + (-3)/3). Calculate the remainder when (-55)/44*60/b is divided by t.
18
Suppose 3*o - 7*b - 315 = -2*b, -b + 443 = 4*o. What is the remainder when o is divided by 29?
23
Suppose 4*p = -20, 2*p = 3*h - 2*p - 395. Suppose -4*a - a + h = 0. Calculate the remainder when 72 is divided by a.
22
Suppose g + 3 = h, 1 + 4 = 3*h - 5*g. Suppose 0 = -9*m + h*m + 32. What is the remainder when 20 is divided by m?
4
Let q(o) = -o**3 + 12*o**2 - 3*o - 143. What is the remainder when 373 is divided by q(10)?
22
Let o(c) = 3*c**2 - 6*c - 3. Let z be o(3). Suppose z*v - v = 50. Calculate the remainder when 69 is divided by v.
9
Let q(j) = j - 3. Let s be q(7). Let c = 26 + s. Let r(g) = 2*g**2 - 29*g - 40. What is the remainder when c is divided by r(16)?
6
Suppose -n + 58 = 14. Suppose 4*s = -2*d + 54, -3*s - 3*d + n = 2*d. What is the remainder when 50 - 3/3*1 is divided by s?
10
Let n(w) = w**2 - 2*w + 7*w - 2 - 3 - 3. What is the remainder when (-2)/(-3)*(32 + 1) is divided by n(-7)?
4
Let j(h) = 30*h**2 - h - 1. Calculate the remainder when (-536)/67*(-111)/6 is divided by j(-1).
28
Suppose 5*x = -0*x + 115. Suppose 0 = -3*l + 4*l - 4*v + x, 4*l + 66 = 3*v. What is the remainder when 10/(-25) - 126/l is divided by 5?
3
Suppose 41*u - 4704 = -8*u. Calculate the remainder when u is divided by 85.
11
Suppose 4*f - 19 = -2*x - x, -5*x = -3*f - 22. Suppose h - 8 = -p, h - 2*h + 14 = -x*p. What is the remainder when 24 is divided by h?
6
Let w(b) = -7*b**2 + 2*b - 2. Let q be w(1). Let p = 9 - q. Calculate the remainder when 46 is divided by p.
14
Suppose -5*j + j - 8 = 0. Calculate the remainder when 57 is divided by (-48)/14*7/j.
9
Suppose 2*q - 3*q - 86 = -3*t, 4*q = -3*t + 91. Calculate the remainder when 45 is divided by t.
16
Suppose -252 = 5*i + 93. Let z = 80 + i. Calculate the remainder when 19 is divided by z.
8
Let r(i) = 2*i + 41. Let p be r(-18). Suppose 4*o + 3*q - 20 = 4, -p*o - 3*q = -27. What is the remainder when 12 is divided by o?
0
Let v(q) = q**3 - 27*q**2 + 4*q + 28. What is the remainder when v(27) is divided by 17?
0
Suppose -34*g + 1426 = -3*g. What is the remainder when 54 is divided by g?
8
Suppose -17*x + 16*x + 30 = 0. Let z = x + -21. Suppose 8*d - z*d + 81 = 0. Calculate the remainder when d is divided by 42.
39
Let p(g) = 3*g - 1. Let a = -20 - -33. Let m = a + -7. What is the remainder when p(m) is divided by 7?
3
Suppose 0 = 5*k - 67 - 383. Calculate the remainder when (-98)/(-3) - (-2)/(-3) is divided by (k/(-4))/(-5)*4.
14
Let q = 71 - 21. What is the remainder when q is divided by (-3)/12 - (-1)/((-8)/(-114))?
8
Let y be -3 + 44/12 - 239/3. Let a = 50 - y. What is the remainder when a is divided by 33?
30
Let v = -12874 + 12978. Calculate the remainder when v is divided by ((-108)/(-10))/(2/10).
50
Suppose -4*h - 1024 = -1572. Let p = 66 - 31. What is the remainder when h is divided by p?
32
Let c(f) = -f**3 - 2*f**2 + 2*f - 12. Let w be c(0). Calculate the remainder when 100 is divided by (w/(-15))/((-4)/(-130)).
22
Let x be 102/13 - (-4 + 150/39). Suppose -7*z = x*z - 615. What is the remainder when z is divided by 9?
5
Let u be 4/(-12) + (-52)/(-12). Suppose -u*s - 197 = -5*x, -2*x + 4*s + s = -89. What is the remainder when x is divided by (2/(-4))/((-2)/52)?
11
Suppose -3*k + 17863 = 17806. Suppose 5*u + 312 = -23. Let y = u - -102. Calculate the remainder when y is divided by k.
16
Suppose 2*l - 15 = -4*z + 15, 88 = 5*l - 3*z. Calculate the remainder when 47 is divided by l.
13
Let t(j) be the third derivative of j**5/30 + 7*j**4/24 + j**3 + 15*j**2. Calculate the remainder when 15 is divided by t(-4).
5
Let q(o) = -o**3 + 9*o**2 + 11*o - 6. Suppose -5*s + 7*a - 6*a + 34 = 0, 40 = 5*s + 5*a. What is the remainder when s is divided by q(10)?
3
Suppose -4*o + 6*o - 120 = y, 60 = o - 2*y. What is the remainder when 777 is divided by o?
57
Suppose -82*d + 4491 = -79*d. Calculate the remainder when d is divided by 15.
12
Let a(p) = p**2 - 4*p - 3. Let w(k) = 29*k + 5. Let r be w(-4). Let n = -60 - r. Calculate the remainder when n is divided by a(-3).
15
What is the remainder when 160 + (-4 - -2)*4/4 is divided by 23?
20
Let a(n) = 24*n - 145. Suppose -3*v = -0*v - 198. Calculate the remainder when v is divided by a(7).
20
Let c(f) = f**3 + 73*f**2 - 155*f - 347. Calculate the remainder when c(-75) is divided by (-5)/(2/12*-2).
13
Let f(p) = p**2 + p + 9. Let q(v) = -37*v - 855. Calculate the remainder when q(-24) is divided by f(0).
6
Suppose -2*r + t = -907, 4*r - 13*t + 12*t - 1815 = 0. Calculate the remainder when r is divided by 19.
17
Suppose h - 24 - 29 = 5*v, -h - v = -65. Calculate the remainder when h is divided by 13.
11
Suppose 60*x + 3110 - 10010 = 0. What is the remainder when x is divided by 30?
25
Suppose -15*h + 98 = -h. Calculate the remainder when h is divided by 3.
1
Let w(m) = -m**3 + 14*m**2 + 3*m + 9. Let o be w(14). Suppose o + 63 = 3*s. Calculate the remainder when s is divided by (1 - 0)/((-1)/(-13)).
12
Let k = 377 + 214. Calculate the remainder when k is divided by 8.
7
Calculate the remainder when 97 is divided by ((-60)/(-14))/(138/644).
17
Let g(h) be the third derivative of h**4/4 + 5*h**3/6 + 10*h**2. What is the remainder when g(4) is divided by 8?
5
Suppose -3*a = -15, -a - 109 = -10*f + 9*f. What is the remainder when f is divided by 34?
12
Let s(t) = 3*t**3 + t**2 - t - 2. Let w be s(-2). Suppose -5*c + 12 = 2, -2*j + 5*c = 8. Calculate the remainder when j is divided by (-1)/4*1 + w/(-16).
0
Let m(g) = -g**2 + 11*g - 5. Suppose -5*r - 8 = -6*r. Calculate the remainder when m(r) is divided by 3.
1
Let l = 74 + -72. Let t(o) = 2*o**3 - 3*o + 4. Calculate the remainder when 25 is divided by t(l).
11
Let p = 144 + -146. Let w(z) = 26*z**2 - 3*z - 4. What is the remainder when w(p) is divided by 36?
34
Let p be (5 - 55/10)*(-1 + -141). Let h = 123 - p. Calculate the remainder when h is divided by 21.
10
Let t be (-7)/14 - (-23)/(-2). Let d be ((-4)/t)/(2/48). Suppose -5 = -y + d. Calculate the remainder when 50 is divided by y.
11
Suppose -259 = -4*l + 2*p + p, -2*l = -5*p - 147. What is the remainder when l is divided by 2/(-4*((-33)/(-34) + -1))?
10
Suppose 27 + 13 = -5*j. Let g = j + 3. Let m(s) = s**2 - 7. Calculate the remainder when 51 is divided by m(g).
15
Let c(q) = -2*q**2 - 91*q + 57. Calculate the remainder when c(-46) is divided by 9.
2
Let z be (2/6*112)/(10/30). Suppose -6*y - 22 = -z. What is the remainder when 117 is divided by y?
12
Let y = -30 + 37. Let q(u) = u - 4. Calculate the remainder when q(29) is divided by y.
4
Let r(b) be the first derivative of 4*b**3/3 - b**2/2 + 2*b + 8. Calculate the remainder when 23 is divided by r(1).
3
Suppose -25*t + 689 = -286. What is the remainder when t is divided by 2?
1
Let n(l) = 3*l + 40. What is the remainder when 34 is divided by n(-7)?
15
Let f(r) = 4*r**3 - 5*r**2 - 5*r + 10. Let p(b) = b**2 + 2*b + 1. Let k be p(-3). What is the remainder when f(k) is divided by 34?
30
Suppose 123 = t + 2*z, z + 72 + 36 = t. What is the remainder when t is divided by ((-2)/(5 + -7))/