12. Suppose 3*i = -3*z + 4 - 28, 2*z - 4*i - 14 = 0. Let a = 5 + z. What is the remainder when y is divided by a?
1
Let r = 7 - 13. Let d be (-18)/r*(-2)/(-3). Suppose d*m + 3*v - 7 = -0, -2*m + 5*v = -31. What is the remainder when m is divided by 5?
3
Suppose 3*m = -2*j - 37, 4*m + 4*j + 14 = -30. Calculate the remainder when 8/(-60) - 47/m is divided by 2.
1
Suppose 4*p - 4*r = -12, p - 5 - 2 = -r. Let z be 1 + (-1 - p) - -11. Let c = -2 + z. Calculate the remainder when 20 is divided by c.
6
Suppose 2*q - 1 = -z, q + 2 + 3 = 0. Suppose -39 = 3*u - 132. Calculate the remainder when u is divided by z.
9
Let o = 97 - 74. What is the remainder when 90 is divided by o?
21
Suppose 0 = 2*b - 11 + 1. Let h(y) = 3*y**2 - 4*y - 1. What is the remainder when h(3) is divided by b?
4
Suppose 5*n + 0*h - 60 = 5*h, 9 = 2*n + h. Suppose -2*c - 280 = -n*c. What is the remainder when c is divided by 15?
11
Suppose -5*s + 62 = -3. What is the remainder when s is divided by 4?
1
Let n(j) = -2*j. What is the remainder when n(-11) is divided by 5?
2
Let t = 54 - 29. Calculate the remainder when 45 is divided by t.
20
Suppose -4*h + 8 = -3*h. Calculate the remainder when 14 is divided by h.
6
Suppose 0*g = -4*q - 2*g - 136, -2*g = -4*q - 152. Calculate the remainder when 106/8 + (-27)/q is divided by 4.
2
Calculate the remainder when 45 is divided by ((-5)/(20/92))/(-1).
22
Let u(z) = -z**3 - 5*z**2 - 4*z - 3. Let i be u(-2). What is the remainder when (6 + i)*(-4 + 1) is divided by 2?
1
Let t be (-4)/(-2) - -3 - 1. Suppose -t*h + 4 + 12 = 0. Calculate the remainder when ((-66)/8)/3*-4 is divided by h.
3
Suppose -6*r + 11*r - 10 = 0. What is the remainder when 53 is divided by (-1)/r - 46/(-4)?
9
Let f(h) = -2*h**2 + 31*h. What is the remainder when f(14) is divided by 12?
6
Let c = -5 + 7. Suppose 3*f - 2*f = c. Suppose -3*p + 19 = -4*z, 0 = -2*p - 0*p + f*z + 12. What is the remainder when 13 is divided by p?
3
Suppose 47 = y - 4*v + 6*v, -214 = -4*y + 5*v. Suppose -3*j - y = -4*x, -2*x + 3*j - 4*j = -33. What is the remainder when 29 is divided by x?
14
Suppose 3*d + 5*l + 9 = 0, -5*d + d + 20 = -4*l. Let j(f) = 2 + 4*f**2 - 4*f**2 - f + f**2. Calculate the remainder when j(d) is divided by 2.
0
Suppose 0 = -4*l + 5*l + 3. Let k(m) = 3*m**2 - 1. Calculate the remainder when k(l) is divided by 7.
5
Suppose -3*u + 3*o + 0*o = 39, 0 = -5*u - 5*o - 85. Let y be -32 - (-3 + 5 + -4). Let i = u - y. What is the remainder when 29 is divided by i?
14
Suppose -2 = 3*v - 17, -4*w + 5*v = -291. Calculate the remainder when w is divided by 20.
19
Let v be 2/8 - 75/(-20). Let y(a) = -3*a - v*a**2 + 7 + a**3 + 2*a - 5*a. Calculate the remainder when y(5) is divided by 2.
0
Let x(j) = -j**2 + j + 10. Suppose -45 = -2*b - 3*k, 0 = -4*b + 2*k + 34 + 16. What is the remainder when b is divided by x(3)?
3
Let b = 180 + -134. Calculate the remainder when 135 is divided by b.
43
Suppose 2*i - 39 = -9. Calculate the remainder when 178 is divided by i.
13
Let v be (-75)/4 + (-1)/4. Let r = 57 + v. What is the remainder when r is divided by 13?
12
Suppose 0 = -w - 2*w - 12, -3*w = -3*d + 45. Let b(t) = t + 8. Calculate the remainder when b(11) is divided by d.
8
Let t(n) = n**2 + n - 4. Let p be t(3). Let w = p + 6. Calculate the remainder when 54 is divided by w.
12
Let u(z) = z**2 - 5*z - 1. Let a be (-38)/(-4) - 21/14. Let s(o) = o**3 - 9*o**2 + 9*o. Calculate the remainder when s(a) is divided by u(6).
3
Let c = -1 + -2. Let b be ((-4)/c)/(2/3). What is the remainder when 20 is divided by 2 + 0 - (b + -11)?
9
Suppose 0 = 7*i - 99 - 62. Suppose -2*z - 62 = -4*a, 3*a - i = z + 25. What is the remainder when a is divided by 3?
2
Suppose 85 = -0*s + 5*s. Suppose -106 = -3*o + 2*u, 5*o - 223 = 4*u - 43. Calculate the remainder when o is divided by s.
15
Let x = -51 + 63. What is the remainder when 71 is divided by x?
11
Suppose -3*q + 5*q - 5*b = 4, b - 2 = -q. Suppose q*p - 10 = 0, 5*c + p = 3*c + 137. What is the remainder when c is divided by 17?
15
What is the remainder when 45 is divided by -4 + (-32)/(-2)*1?
9
Let b(d) = -d + 19. Calculate the remainder when b(-16) is divided by 18.
17
Let o(m) = -m**3 - 5*m**2 - m - 5. Calculate the remainder when 146 is divided by o(-6).
35
Let z(k) = -3*k**3 - 2*k**2 + 4*k + 4. Let l(c) = -23*c. What is the remainder when l(-2) is divided by z(-2)?
10
Suppose 0 = -2*p - 4 - 68. Let r = p - -51. What is the remainder when 43 is divided by r?
13
Let w = 6 - 3. Suppose -w*c = 2*c + 10. Let f(g) = -5*g. What is the remainder when 29 is divided by f(c)?
9
Suppose 0 = 5*t - 52 + 12. Let a be -2 + (0 - (0 - 1)). Calculate the remainder when (-87)/(-4) + a/(-4) is divided by t.
6
Let k be (45/20)/(1/4). Let o = k + -9. Suppose 0*n + 5*n - 55 = o. Calculate the remainder when 19 is divided by n.
8
Let j = -42 + 171. Calculate the remainder when j is divided by 66.
63
What is the remainder when 30 is divided by 16 + 12 + -11 + 0 + 1?
12
Suppose -4*l - 154 = -15*l. Let s(v) = -5*v - 2. Let m be s(4). Let t = 75 + m. What is the remainder when t is divided by l?
11
Let w(f) = -89*f + 5. Let u(x) = -45*x + 2. Let b(l) = -9*u(l) + 4*w(l). Let t be b(2). What is the remainder when t/7 + (-8)/28 is divided by 5?
4
Let m = 11 + -6. Suppose 5*f - 126 - 14 = -5*d, m*f + d = 144. What is the remainder when f is divided by 10?
9
Let z(g) = -g**2 + 13*g + 11. What is the remainder when z(12) is divided by 3?
2
Let t be 4/(-6)*(-12)/(-4). Calculate the remainder when -1*(-8)/(-6)*-18 is divided by (1/t)/((-4)/104).
11
Suppose 5*o = o + 420. Calculate the remainder when o is divided by 27.
24
Let h(y) = -21*y - 27. What is the remainder when h(-21) is divided by 32?
30
Suppose 10*n = 5*n + 10. Suppose 174 = n*w + 54. Suppose -4*h = -244 + w. What is the remainder when h is divided by 12?
10
Let c(g) = g**3 + 12*g**2 + 10*g. Calculate the remainder when 21 is divided by c(-11).
10
Let s = -29 - -21. Suppose 2*d + 30 = 2*w, 3*d = -2*w + 2 + 3. Let m = w + s. Calculate the remainder when m is divided by 2.
0
What is the remainder when 20 is divided by -1 + (3 - 3) + 12?
9
Suppose -20 - 56 = -2*r. What is the remainder when 188 is divided by r?
36
Suppose -12*b + 5*b + 343 = 0. Calculate the remainder when 94 is divided by b.
45
Let n(b) = 3*b - 5*b + 5 + b. Calculate the remainder when 43 is divided by n(-6).
10
Suppose -3*p - 2*p - 10 = 0. What is the remainder when 10 is divided by 1/(3/(-36)*p)?
4
Let x(l) = l**3 + 8*l**2 + 4*l - 5. What is the remainder when 29 is divided by x(-7)?
13
Suppose -4*o + 39 = 3*j, 5*j + 2*o - 51 = -0*o. What is the remainder when 26 is divided by j?
8
Let c(m) = 4*m + 2. Suppose 0 = -q - 6 + 4. Let x(z) = 3*z + 2. Let w(k) = q*c(k) + 3*x(k). Calculate the remainder when 3 is divided by w(0).
1
Let u(a) = -2*a**2 + 2*a + 94. What is the remainder when u(0) is divided by 19?
18
Let l(g) = 3*g**2 - 2*g + 1. Let x(d) = -d**2 - 1. Let y(c) = -l(c) - 4*x(c). Suppose 2*f + 4 = -4. What is the remainder when y(f) is divided by 4?
3
Let h = -1 + 16. Suppose 9 = 5*r - 31. What is the remainder when h is divided by r?
7
Let a = 0 - -3. Let n(z) = z + 1. Calculate the remainder when n(3) is divided by a.
1
Let u(k) = -k**3 + 6*k**2 + 2*k - 3. Let s(d) = d**2 - 6*d - 10. Let j be s(8). Calculate the remainder when 26 is divided by u(j).
8
Suppose 5*d + 5 = 25, 2*d + 110 = 2*y. What is the remainder when y is divided by 16?
11
Let j be 354/8 - (-2)/(-8). Suppose -4*z + 64 = -3*z. Let x = z - j. Calculate the remainder when x is divided by 7.
6
Let s = 27 - -10. Suppose 0*l - 4*l - 2*u = -30, u = -l + 10. Suppose 55 = l*q + 5*a, 0 = -5*q - 4*a + 60 - 6. Calculate the remainder when s is divided by q.
7
Let w = 438 + -313. Let h = w - 67. Suppose 3*x + 70 = 4*u - 2*x, -4*u = -3*x - 74. What is the remainder when h is divided by u?
18
Let k = -41 + 54. Calculate the remainder when (-97)/(-4) - (-4)/(-16) is divided by k.
11
Let c be (5 - (-16)/(-4))*-1. Let s(h) be the second derivative of -3*h**3 + h**2/2 - h. Calculate the remainder when s(c) is divided by 7.
5
Suppose 0*j - 5*j + 40 = 0. Calculate the remainder when 31 is divided by j.
7
Let t = 18 + -3. Suppose 11*a + 344 = 19*a. Calculate the remainder when a is divided by t.
13
Suppose -70 = 