2. Calculate the remainder when y is divided by 11.
8
Suppose -3*h + 2*g + 52 = 0, 11 - 3 = h + 4*g. Let l(u) = -2*u**2 + 12*u + 77. What is the remainder when l(6) is divided by h?
13
Suppose -l - y - 4*y + 37 = 0, -5*y = 5*l - 125. What is the remainder when 131 is divided by l?
21
Let s(v) = -10*v + 575. What is the remainder when s(53) is divided by 23?
22
Let t = -14 - -26. Suppose 2*b + t = 5*q - b, -2*q - b = -7. Let j = -1 + q. Calculate the remainder when 2 is divided by j.
0
Suppose 19*y + 33 = 22*y. What is the remainder when 50 is divided by y?
6
Let h(u) = u**2 + 6*u - 174. What is the remainder when h(12) is divided by 25?
17
Suppose -4*s + 12 + 20 = 0. Let l(m) = -3*m - 38. Let r be l(-11). Let o = s + r. What is the remainder when o is divided by 1?
0
Let v be (27/(-12))/(12/(-64)). Suppose v*a + 649 = 23*a. What is the remainder when a is divided by 22?
15
Suppose -4*j + 36 = 3*w, 4*j + 36 - 104 = 5*w. Calculate the remainder when 40 is divided by j.
4
Suppose -m = 4*m - 280. Suppose 3*x = x + m. Let n = 8 - -7. Calculate the remainder when x is divided by n.
13
Let o = 397 - 296. What is the remainder when o is divided by 34?
33
Suppose 111 = 11*m + 12. What is the remainder when 359 is divided by m?
8
Let n be (16/6)/((-2)/(-57)). Let t(k) = -k**2 + 14*k - 67. Let d be t(6). Let m = d + n. What is the remainder when m is divided by 15?
12
Let x = -141 + 144. Let o(d) = 2*d**3 - 5*d - 4. Calculate the remainder when 102 is divided by o(x).
32
Let x = 96 + -71. What is the remainder when 83 is divided by x?
8
Suppose 2871 = 5*l + 5*m - 2314, 4*m = -3*l + 3106. Calculate the remainder when l is divided by 9.
7
Let p(l) = -21*l + 1. Let t(x) = -2*x + 8. Let a be t(4). Let h = 15 - a. What is the remainder when p(-2) is divided by h?
13
Let y(r) = r**3 - 7*r**2 - 19*r + 41. What is the remainder when y(10) is divided by 14?
11
Let v(p) = -2*p**2 - 25*p - 36. Calculate the remainder when v(-7) is divided by 30.
11
Calculate the remainder when 13 is divided by 10*(33/(-15) - -3).
5
Let x = 62 + -55. Suppose 0 = i - x*i + 144. Calculate the remainder when 45 is divided by i.
21
Let r = -11 - -22. Let h(o) = o - 5. Let t be h(13). Suppose -2*a = -2*z - 2, 2*a + 0*z = -z + t. What is the remainder when r is divided by a?
2
Let d(c) = -4*c + 5. Let s be 12/(-8) + 3/(-2). Calculate the remainder when d(s) is divided by 9.
8
Suppose -4*r + 31 = -t + 5, -62 = 2*t - 3*r. Let g = t - -48. Calculate the remainder when g is divided by 8.
6
Calculate the remainder when (-424)/(-32)*(10 - 1 - 1) is divided by 37.
32
Let a = 61 - 50. Let b = 39 - a. Suppose f - 45 = -3*z, -28 - 16 = -2*z + 4*f. Calculate the remainder when b is divided by z.
12
Suppose 5*z + 80*v = 83*v + 1099, -2*v + 667 = 3*z. Calculate the remainder when z is divided by 52.
13
Suppose 2*y = -5*z - 6 - 17, -3*z - 13 = 2*y. Let a = 1 + y. Suppose 0 = -4*n - u + 12, -3*n + a*u = u - 9. What is the remainder when 5 is divided by n?
2
Let q = 45 - 42. What is the remainder when 3/(q/4) + 70 is divided by 19?
17
Let r(x) = 2*x**2 + 40*x - 19. Calculate the remainder when 86 is divided by r(-21).
17
Suppose 0 = 6*t - 5 - 25. Calculate the remainder when t is divided by 3.
2
Calculate the remainder when 28 is divided by (3048/30)/4 - 2/5.
3
Let g(p) = -p - 1. Let j(o) be the first derivative of 2*o**2 + 2*o - 8. Let w(f) = 3*g(f) + j(f). Calculate the remainder when w(9) is divided by 6.
2
Let z(b) = 4*b**2 - b - 6 + b**3 + 3*b**2 - 1. Suppose 2*q + 12*o = 7*o + 18, 20 = -5*o. What is the remainder when z(-6) is divided by q?
16
Let h(b) = -251*b - 2. Let u be h(-4). Suppose 5*g + 139 = -4*f - u, -1417 = 5*f - 3*g. Calculate the remainder when 81 is divided by 2/(-5) - f/10.
25
Let j = 315 - 285. Calculate the remainder when 64 is divided by j.
4
Suppose 5*k = 2*q + 332 + 58, -213 = -3*k - 3*q. Let c(m) = 66*m - 2092. What is the remainder when k is divided by c(32)?
16
Let o be 1 + (-1 + (0 - -3))*-2. Suppose -2*n + 24 = n. What is the remainder when 5 + o - (-1 + -10) is divided by n?
5
Let o = -80 + 34. What is the remainder when 15/(-6)*(-132)/5 is divided by (-2 + 3)/((-2)/o)?
20
Suppose 5*r + 2 = 4*i + 8, -2*i = -4*r. Let a = 8369 - 8362. What is the remainder when (22/4)/(r/(-4)) is divided by a?
4
Suppose -4*p = -4*t - 364, 10*p - 502 - 378 = -5*t. What is the remainder when 204 is divided by p?
26
Let c = -1 - -122. Let v = c - 30. What is the remainder when v is divided by 46?
45
Suppose -2384 = -82*p - 67*p. Calculate the remainder when 6/(13/(-15) - -1) is divided by p.
13
Suppose -86 = -2*b + 4*t, -4*t + 164 = 5*b - 107. What is the remainder when 171 is divided by b?
18
Suppose 2*d - 6*d + 4*q = -312, 5*d + 4*q - 435 = 0. Suppose 5*f - 58 = -2*s, -s = 2*s + 4*f - 80. What is the remainder when d is divided by s?
11
What is the remainder when (32/(-6))/(138/144 - 1) is divided by 35?
23
Let l be 2 - ((-4)/(-1) + -2). Suppose l = -4*b + 4, 4*b + 9 = -2*r + 3*r. Let h = -351 - -356. What is the remainder when r is divided by h?
3
Suppose 0 = -80*k + 1840 + 6080. What is the remainder when k is divided by 22?
11
Suppose 5*f + 20 = 0, -2*f = o - 3*f - 55. Let i = o - 38. Let d = -17 - -42. Calculate the remainder when d is divided by i.
12
Let p = 6 - 6. Calculate the remainder when 44 is divided by p + 0 + -3 + 15.
8
Let t = 121 + -101. Calculate the remainder when 49 is divided by t.
9
Let j(z) be the first derivative of 2*z**3/3 - 2*z**2 + 2*z + 11. What is the remainder when j(4) is divided by 7?
4
Let y = -160 + 125. Let u be ((-51)/4)/((-1)/(-4)). Let q = y - u. Calculate the remainder when 47 is divided by q.
15
What is the remainder when 196 - (-9)/(126/154) is divided by 98?
11
Let q = -507 - -677. What is the remainder when q is divided by 47?
29
Let g(n) be the first derivative of 4*n**3/3 - 9*n**2/2 - 6*n - 15. Calculate the remainder when g(7) is divided by 32.
31
Let c = -28 - -78. Let t = c + -44. What is the remainder when 18 is divided by t?
0
Suppose 0 = -5*y + 27 + 8. Let i be (70/(-8))/((-4)/(-16)). Let c = 53 + i. Calculate the remainder when c is divided by y.
4
Let o be 6 - 5/(((-75)/(-6))/5). Suppose -3 = -o*a + 149. Suppose 0 = -5*w + 1 + 49. What is the remainder when a is divided by w?
8
Let b = 165 + -96. What is the remainder when b is divided by 35?
34
Let i be (-154)/55*(-15)/(1 - 4). Calculate the remainder when 33 is divided by 49/i*36/(-7).
15
Let f be (-25)/15*(0 - -45). Calculate the remainder when 73 is divided by (6/5)/((-6)/f).
13
Let a(t) be the first derivative of t**3/3 - 6*t**2 - 12*t - 7. Let q be a(13). Calculate the remainder when 19 - -1*1/q is divided by 7.
6
Calculate the remainder when 23 is divided by (-20)/4 - (3 + -19).
1
Suppose 296 = 9*y + 89. What is the remainder when 342 is divided by y?
20
Let m(k) = -k**3 + 14*k**2 - 11*k - 22. Let l be m(13). Suppose -32 = -2*n + 2*a - 4*a, -2*a - 34 = -l*n. What is the remainder when n is divided by 2?
1
Suppose 2*j - 3*j + 4*g - 28 = 0, 3*j + 77 = 5*g. Calculate the remainder when 90 is divided by (39/(-9))/(8/j).
12
Let q = 24 - 9. Let p = 28 + 30. What is the remainder when p is divided by q?
13
Suppose -2*x + 7*x + 97 = 3*a, x - 43 = -2*a. What is the remainder when 118 is divided by a?
22
Let o(b) = -b**3 + 8*b**2 - b + 8. Let a be (-1 - -1) + (9 - 3). What is the remainder when o(a) is divided by 15?
14
Let l(z) = -z**3 - 4*z**2. Let a be l(-4). Suppose a = -3*p + 2*p. Suppose p*q = q + 2*h - 5, -43 = -5*q - 4*h. What is the remainder when 42 is divided by q?
9
Suppose -4*g = -6 - 58. Suppose -g = -5*l + 44. Suppose 4*h + 4*v - 18 = 22, 8 = -h + 5*v. What is the remainder when l is divided by h?
5
Let a(u) = -13*u + 6. Let v be a(10). Let w = 187 + v. Calculate the remainder when w is divided by 13.
11
Suppose -3*n + 32 = -4. Let c = 26 + -16. Suppose n*t - c*t - 146 = 0. What is the remainder when t is divided by 25?
23
Calculate the remainder when 132/(-99) + 2 + (-156)/(-9) is divided by 12.
6
Suppose 4 + 4 = h. Let q(m) = 10*m + 4*m**2 + 2 + h*m**2 - m**3 - 18*m**2 + 2*m**2. Calculate the remainder when 26 is divided by q(-6).
12
Let t = 292 - -57. Calculate the remainder when t is divided by 27.
25
Let i = -157 - -162. Let f be -3*(2/(-3))/1. Suppose 2*a - 34 = 3*y