).
19
Let h = 1391 + -1255. Calculate the remainder when h is divided by 107.
29
Let x(k) = -2*k + 5 - k + 0*k + 2*k. Calculate the remainder when x(-12) is divided by 8.
1
Let r(a) = 3*a**2 - 5*a - 53. Let h be r(8). Suppose -8*b + 4*t = -5*b - 113, 4*b - h = -5*t. What is the remainder when b is divided by 17?
14
Let y = -1106 - -1057. Let z = y - -51. Suppose -27 = -3*p + 4*m, -2*m - 9 = -2*p + p. What is the remainder when p is divided by z?
1
Let w(m) = -m**2 + m + 67. Let j = 40078 + -39862. What is the remainder when j is divided by w(0)?
15
Let l(h) = -232 - 11*h + 22*h - 21*h. Let r = -3 - -33. What is the remainder when r is divided by l(-25)?
12
Let k(z) = 24*z**2 - 23*z + 92. Let h be k(5). Suppose 347 = 28*l - h. What is the remainder when l is divided by 9?
6
Let u(z) = -z**3 - z**2 - 3*z + 12. Suppose -6*m = -0*m + 36. Let q be u(m). Suppose -h = 2*h - q. Calculate the remainder when h is divided by 18.
16
Let f(v) = -v**2 + 85*v - 1745. What is the remainder when 8908 is divided by f(36)?
16
Calculate the remainder when (508/(-8) - 0)*312/(-39) is divided by 52.
40
Suppose 3*l = 2*l - 5, -11 = -s + 5*l. Let v be (-16)/s*(-28)/(-8). Suppose -4*z = 0, -x + 16 - 2 = -v*z. What is the remainder when 69 is divided by x?
13
Suppose 568*h + 6601 = 591*h. What is the remainder when h is divided by 275?
12
Let a = 6261 + -6208. Calculate the remainder when 4498 is divided by a.
46
Suppose -16*x + 2*w = -14*x - 46, 3*w - 9 = 0. Suppose -4 + 20 = 4*a. Let z(d) = -d**3 + 7*d**2 - 6*d - 9. Calculate the remainder when x is divided by z(a).
11
Let q = 63 + -61. Suppose -4*z - z - 4*n - 559 = 0, -5*n = q*z + 210. What is the remainder when -2 + (z + -2)/(-3) is divided by 13?
11
What is the remainder when 648 is divided by ((-5176)/(-40))/(20/100)?
1
Suppose 411438 = -191*q + 332*q. What is the remainder when q is divided by 83?
13
Let z be 80/360 - 115/(-9). Suppose 4*h - 206 = 2*f, 9*h - z*h + 4*f = -200. Calculate the remainder when 476 is divided by h.
52
Suppose 0 = -3*u - u - q + 24, -4*u + q + 24 = 0. Let k(d) = -6*d**3 - 2*d**2 + 3*d + 3. What is the remainder when k(-2) is divided by 117/u - 2/4?
18
Let i(b) = b**3 - 39*b**2 + 144*b - 128. Calculate the remainder when 1892 is divided by i(35).
8
Let r = -8901 + 9005. Calculate the remainder when 12374 is divided by r.
102
Let o = 196 + -147. Let y = o + 2. Calculate the remainder when 201 is divided by y.
48
Let g = 9 - -31. Let t = 30 - -22. Suppose -5*l = 10, t = 4*z - 0*l + 4*l. What is the remainder when g is divided by z?
10
Let v = -7251 - -9865. Calculate the remainder when v is divided by 27.
22
Let d(s) = -43*s - 372. Let m(f) = f + 2. Let n(w) = -d(w) - 4*m(w). Calculate the remainder when 95 is divided by n(-8).
43
Suppose -2*y - 5394 - 867 = -5*q, q - 1248 = -y. Let v = 89 + q. What is the remainder when 46 is divided by (-4)/10 + v/100?
7
Let i = 13408 - 13052. Calculate the remainder when i is divided by 111.
23
Let p = 9804 + -9530. What is the remainder when 1097 is divided by p?
1
Calculate the remainder when 50 + -2 - (-104 + 106) is divided by 24.
22
Suppose -20 - 12 = -x. Let q be x/14 + (-20)/70. Calculate the remainder when q/(-9) + -1 + 101/9 is divided by 2.
0
Let z(d) = 14*d**2 + 10*d - 120. Let v be z(7). Suppose 8*p - 2*p - v = 0. What is the remainder when p is divided by 27?
25
Suppose 0 = 150*i - 53*i - 42195. Calculate the remainder when i is divided by 50.
35
Suppose -440*x + 428*x + 780 = 0. Let s be (-2)/(-6)*(8 - -1). Suppose 20 = c + s. What is the remainder when x is divided by c?
14
Suppose 5*o = 4*k - 5, 2*o - 297 = -k - 286. Calculate the remainder when (9/2)/((-3)/(-18)) is divided by k.
2
Suppose 5 - 1 = 4*z, 4*z = 5*b - 56. Suppose -b*o + 33*o = 1113. What is the remainder when 188 is divided by o?
29
Let t(b) = -7*b + 770. What is the remainder when t(76) is divided by 67?
37
Let n be 338 + 1*(6 + -2). Let d = 360 - n. What is the remainder when 40 is divided by d?
4
Suppose -a - a = -236. Suppose -338*s + 341*s = 0. Suppose -5*x + i + 46 = s, 0*x - 3*x = -4*i - 14. Calculate the remainder when a is divided by x.
8
Suppose -43*r - 34*r + 24*r + 4293 = 0. Let d = -58 + 81. What is the remainder when r is divided by d?
12
Let z = -10053 - -10073. Calculate the remainder when 23 is divided by z.
3
Let m(q) = -4*q - 23. Suppose -25*y + 21*y = 8. What is the remainder when y - (-40 + 4 + -4) is divided by m(-9)?
12
Suppose 8*w + 105 = 945. Suppose k - 55 = 5*l, -3*l = 6*k - 2*k - w. What is the remainder when k is divided by 23?
7
Suppose -4*y - y = -115. Let s(z) = 3*z**2 - 6*z - 12. Let t be s(-11). Let l = -405 + t. Calculate the remainder when y is divided by l.
11
Let y = -276 - -530. Let w = y - 216. What is the remainder when w is divided by 14?
10
Let z(k) = 6*k**2 - 7*k + 14. Let t be z(-6). Suppose 8*p - 25*p + t = 0. Let g = -63 + 136. Calculate the remainder when g is divided by p.
9
Let a(k) = 2*k + 6*k**3 - 3*k**3 - 4*k**3 - 3. Suppose -3*m - 4*b = 18, -m + 0*b + b = -1. Calculate the remainder when 3 is divided by a(m).
0
Let v(i) = -3*i**2 - 18*i + 112. Let w(j) = -2*j**2 - 9*j + 56. Let a(y) = 3*v(y) - 5*w(y). What is the remainder when a(11) is divided by 28?
22
Suppose 348 = 3*s - 2*s. Suppose -3*z = -3*i + 45, 0 = 4*i + 5*z - 0*z - 24. What is the remainder when s is divided by i?
7
Let l(z) = 129*z**2 + 556*z - 1122. What is the remainder when l(2) is divided by 41?
14
Let l(q) = -28*q + 4. Let v(j) = 55*j - 9. Let k(n) = 7*l(n) + 3*v(n). What is the remainder when (0 - -4) + 5 + -3 + 57 is divided by k(-1)?
31
Let m(h) = h**2 + 5*h + 4. Let l(d) = -d - 1. Let a be l(4). Let k(w) = w**2 + 15*w - 10. Calculate the remainder when k(-16) is divided by m(a).
2
Suppose -165315 = -24*o + 24069. Calculate the remainder when o is divided by 24.
19
Calculate the remainder when 2153 is divided by ((-50)/15)/((-4501)/(-504) + -9).
41
Let h = 28760 - 12195. Calculate the remainder when h is divided by 19.
16
Suppose 3*l + l = 64. Suppose 2*r = -l + 68. What is the remainder when r is divided by 2?
0
Suppose -64 = 2*g + 26*g - 4544. What is the remainder when 609 is divided by g?
129
Let f(b) = -b**3 - 14*b**2 + 15*b + 19. Let o be f(-15). Suppose -o = -2*u + 45. Calculate the remainder when 92 is divided by u.
28
Suppose -5*v = 5*s - 60, -3*s + 19 = 2*v - 0. Let o = -134 + 370. What is the remainder when o is divided by v?
15
Suppose -59*z + 1051 + 9011 = -5868. What is the remainder when 2430 is divided by z?
0
Let a(j) = j**3 + 8*j**2 - 2*j + 2. Let f be a(-8). Let y = f + -7. Suppose 242*o = 250*o - 136. Calculate the remainder when o is divided by y.
6
Suppose -35*x = -6*x - 2378. Suppose 0 = -11*u + 50 + x. What is the remainder when 49 is divided by u?
1
Let w(c) = -8 - 3*c + 24 - 22. Let y be w(0). Let p = y - -92. What is the remainder when p is divided by 44?
42
Let j(g) be the second derivative of 9*g**3/2 - 68*g**2 - 263*g. Calculate the remainder when 425 is divided by j(9).
104
Let s = 23 - 8. Let w(d) = 8*d**2 + d - 17. Calculate the remainder when w(4) is divided by s.
10
Let i = 15009 - 14974. Calculate the remainder when 119 is divided by i.
14
Suppose -45*o = s - 41*o - 5, 5*s - 5*o - 50 = 0. What is the remainder when 4 - -4 - (-109 + s) is divided by 37?
34
Let s = -96 + 68. Let r = 27 + s. Calculate the remainder when 1/r*-3 + 24 + -1 is divided by 9.
8
Let k(h) = -112*h + 9976. What is the remainder when 800 is divided by k(89)?
0
Suppose -3*p + 3*l + 19 = 7, -2*p + 4*l = 4. Calculate the remainder when 2959 is divided by p.
9
Let w(t) = t**2 + 9*t + 1. Let v(f) = f**3 + 37*f**2 + 28*f - 47. Calculate the remainder when v(-36) is divided by w(-10).
10
What is the remainder when 696 is divided by ((-6)/21 + 144/112)*7?
3
Suppose 26*q = -17122 + 19592. Calculate the remainder when 103 is divided by q.
8
Suppose -3824 = -4*z - 4*k, 387*z - 3*k - 984 = 386*z. What is the remainder when z is divided by 141?
117
Suppose t - d = 14, -t + d - 19 = -3*t. Suppose 4 + t = 5*z. Let w = -359 - -375. Calculate the remainder when w is divided by z.
1
Let v(i) = -276*i - 4792. What is the remainder when v(-38) is divided by 37?
35
Let h = -26974 - -27124. Calculate the remainder when 1651 is divided by h.
1
Let j be 7/35 - 79