. What is the remainder when 81 is divided by s?
38
Let s = 22 + 9. Suppose 5*k + 39 + s = 0. Let t(j) = j**3 + 13*j**2 - 17*j - 11. What is the remainder when t(k) is divided by 17?
14
Suppose 12*m - 1145 = -317. What is the remainder when 100 is divided by m?
31
Suppose -227*w + 208*w = -285. What is the remainder when 464 is divided by w?
14
Suppose -4*c - 4*b = -4, 3 = 4*b - b. Suppose c = -0*f + 7*f - 70. Calculate the remainder when 18 is divided by f.
8
Let i be (2/(-2))/((-2)/76). Suppose -j + 1 = 0, -39 = 3*n + 5*j - 8. Calculate the remainder when 81 is divided by i + 4/n*-9.
40
Suppose -5*t = -269 + 84. Let p(b) = -b**3 - b**2 + b - 1. Let x be p(-3). Let i = -1 + x. Calculate the remainder when t is divided by i.
11
Let g = 270 - 239. Let i(y) = 21*y + 1. Let s be i(2). Let w = s - g. What is the remainder when 33 is divided by w?
9
Suppose 3*i = u - 2*i + 9, -2*i = -u - 6. What is the remainder when 1*u/((-8)/10) is divided by 3?
2
Let y be 6 + -2 + (94 - -3). Suppose -o - w = -6*o + y, 4*w = 3*o - 64. What is the remainder when 57 is divided by o?
17
Suppose 128 = 295*c - 294*c. What is the remainder when 623 is divided by c?
111
Suppose 11*b = 155 + 120. Calculate the remainder when 218 is divided by b.
18
Let s be (-3)/((-6)/(-8)) + -2. Calculate the remainder when 76 is divided by (7 + 11)/((-4)/s).
22
Let g be 1*150/9*3. Suppose -g = -4*s + 10. Suppose -3*q = 3*q - 438. Calculate the remainder when q is divided by s.
13
Suppose 3*x = -3*m + 60, 4*x + m = -0*x + 92. Suppose 0 = -0*v - 4*v - 24. What is the remainder when x is divided by (14/(-21))/(v/117)?
11
Let v = -151 - -190. Calculate the remainder when 152 is divided by v.
35
Let d(y) = -2*y**2 + 18*y - 4. Let h be d(7). Calculate the remainder when 18 is divided by (2/(-6))/((-2)/h).
2
Suppose 0 = -4*i + 4, 2*a + 4*i = 1 + 13. Suppose -a*m + 9*m = 40. Suppose -78 = -2*f - 0*f. What is the remainder when f is divided by m?
9
Calculate the remainder when (-1655)/(-100)*4 + 3/(-15) is divided by 23.
20
Suppose -8 = -0*a + 2*a. Calculate the remainder when -16*1/2*-1 is divided by (-72)/(-54)*(-15)/a.
3
Calculate the remainder when (7/(-14))/1*-764 is divided by 64.
62
Let c(z) = z**3 + 9*z**2 + 10. Let v(i) be the first derivative of -i**2/2 + 12*i - 9. Calculate the remainder when c(-9) is divided by v(6).
4
Let j = -1973 + 2163. What is the remainder when j is divided by 50?
40
Let b(w) be the first derivative of -w**4/4 - w**3/3 + w**2 + 3*w + 6. Let f be b(-2). Suppose f*q = 12 + 18. What is the remainder when q is divided by 3?
1
Let r(l) = -2*l**3 + 12*l**2 - 12*l + 52. What is the remainder when r(5) is divided by 17?
8
Let r = -642 + 723. What is the remainder when r is divided by 23?
12
Let o(i) = i + 3. Let d be o(-3). What is the remainder when 24 - 6 - (d + -1) is divided by (-10)/(2 + -4 - -1)?
9
Suppose 4*w + 2*w = 48. Let h = 44 - 21. Calculate the remainder when h is divided by 13/(-5)*(w + -13).
10
Let c = 5 - -13. Let x = 8 + c. Suppose w + 3*r - x = 0, -2*r - 2*r + 16 = 0. What is the remainder when w is divided by 4?
2
Let r be (0 - 1/(-6)) + 139/(-6). Let y = -2 - r. What is the remainder when 39 is divided by y?
18
Suppose q + 4*q + 5*x = 205, 0 = -4*q - 3*x + 167. Suppose 0*r + q = 3*u - 2*r, 3*u - 40 = -2*r. What is the remainder when 67 is divided by u?
11
Suppose 59*q = 492 + 5880. What is the remainder when q is divided by 36?
0
Suppose -5*h = -2*b + 4 - 115, 2*b = -3*h + 73. Let t be 20*(-2 - 12/(-4)). Let m = h - t. Calculate the remainder when 3 is divided by m.
0
Suppose -g = 5*m - 33, 62*g - 5*m = 57*g + 75. What is the remainder when 178 is divided by g?
16
Let m(i) = 5*i**2 - 6*i + 4. Let u be (-5)/1*9/(-15). Calculate the remainder when m(u) is divided by 17.
14
Let r(a) = 3*a**3 + a**2 + 3*a + 2. Let v be r(-2). Let g(d) = 12*d. What is the remainder when (102/(-8))/(9/v) is divided by g(1)?
10
Let y = 31 + -36. Let r(p) = -6*p - 3. Calculate the remainder when r(y) is divided by 15.
12
Suppose 15*w = -m + 11*w + 25, 59 = 2*m + 5*w. What is the remainder when 111 is divided by m?
0
Calculate the remainder when (-1210)/(-8) - 90/(-288)*-4 is divided by 78.
72
Let x(z) = -z. Let k be x(-2). Suppose -i - 11*i + 252 = 0. What is the remainder when ((-305)/(-10))/(k/4) is divided by i?
19
Let v = -329 - -376. What is the remainder when 172 is divided by v?
31
Let c(v) = -2*v + 38. What is the remainder when 177 is divided by c(-6)?
27
Suppose 0 = -2*m - 0*m + 12. Suppose -j + m*j = 140. Calculate the remainder when j is divided by ((-10)/7)/(2/(-14)).
8
Let q(r) = -7*r - 5. Let d(t) = t**3 + 2*t**2 - 5*t - 1. Let b be d(-3). Suppose 4*v - 77 = -b. What is the remainder when q(-8) is divided by v?
15
Suppose 3*o - 19 = -2*w - 0*w, w - 10 = -2*o. What is the remainder when 3200/(-360) + 10 + 71/9 is divided by w?
1
Let m(s) = s**3 - 4*s**2 - 7*s - 6. Let z be m(6). Let v = z + 2. What is the remainder when v is divided by (-14)/(-4)*(4 + 0)?
12
Let w(x) = -6*x**3 + x**2 + 21*x + 31. Calculate the remainder when w(-5) is divided by 44.
41
Let q(o) = -3*o + 22. Let c be q(9). Let i = 12 + c. Calculate the remainder when i is divided by 5.
2
Suppose -h + 10 = -3*h. Let i = 20 + h. Calculate the remainder when 42 is divided by i.
12
Let l(i) = i**3 + 5*i**2 + 3*i + 3. Let q be l(-2). Let y be 12/(-10)*(-120)/q. What is the remainder when 5 is divided by y/12 + 4/6?
1
Suppose 855 = 5*y + 5*q + 40, -3*y = 5*q - 495. Suppose -4*z - 3*w + 2*w + 318 = 0, y = 2*z + w. Let t = -24 + z. What is the remainder when t is divided by 19?
17
Suppose 30 = -6*i + i - 2*b, -4*i = -b + 37. Let f = i - -32. Calculate the remainder when f is divided by 13.
11
Let v(m) = -24*m**3 - 8*m**2 - 6*m + 1. Calculate the remainder when 475 is divided by v(-1).
15
Let b(g) = g + 2*g**2 + 3*g - 5 - 5*g. Let d(j) = j**3 + 5*j**2 - j + 6. What is the remainder when b(-4) is divided by d(-5)?
9
Let o(a) = a**3 + 2*a**2 - 8*a + 7. Calculate the remainder when 12 is divided by o(-4).
5
Let f be (-154)/33*(-6)/4. Let s = 10 - f. Suppose -m = s*m - 148. What is the remainder when m is divided by 19?
18
Suppose -12 = -2*h - 2*b + b, 5*h = -4*b + 30. What is the remainder when 183 is divided by h?
3
Let n(o) = -6*o + 2. Let q = -18 + 13. Suppose -5*k = -215 - 95. What is the remainder when k is divided by n(q)?
30
Suppose -6*h + 68 = -2*h. Let c = -16 + h. Suppose n - 2*q + c = 0, -2*n + n + 2 = -q. Calculate the remainder when n is divided by 4.
1
Let p be -2 + -2 - (-2 + -5). Suppose 0 = n + 2*l - 7 - 27, 0 = -p*n - l + 112. Calculate the remainder when n is divided by 22.
16
Suppose 2*h - 56 = -5*a, -2*h = -3*h - a + 25. Let x(n) = n**3 + n**2 + 112. What is the remainder when x(0) is divided by h?
20
Let t(y) = y**2 + y + 6. Let f be t(0). What is the remainder when 854/f + (-8)/(-12) is divided by 18?
17
Let z(y) = 2*y - 10. Let k = 3 - -4. Let x(u) = -u**2 + 9*u - 11. What is the remainder when z(k) is divided by x(2)?
1
Calculate the remainder when 135 is divided by ((-637)/(-13))/(-7) - (1 - 25).
16
What is the remainder when 261 is divided by (-3)/(30/(-4)) + (-2790)/(-150)?
14
Suppose 0*h = 3*h - 78. Suppose 15*d - 592 - 563 = 0. What is the remainder when d is divided by h?
25
Let q(d) = -8*d**3 - 3*d**2 + 7*d + 14. Calculate the remainder when 105 is divided by q(-2).
1
Let n(q) = -q**2 + 12*q - 1. Let d be n(14). Let u = 46 + d. Calculate the remainder when 49 is divided by u.
15
Let r be (1 - -17) + 0 - -3. Let m = r + -14. What is the remainder when 7 is divided by m?
0
Suppose -7868 = -5*f + 2792. Calculate the remainder when f is divided by 61.
58
Suppose 0 = c - 3*z - 47, -102 = -3*c - 5*z + z. Calculate the remainder when c is divided by (-4 + -16)*1*-1.
18
Suppose -4*w - 2*o = -9*w - 377, -2*w = 3*o + 166. Let m = w - -87. Calculate the remainder when (-6 - 2)*(-14)/4 is divided by m.
8
Suppose -x + f = 6*f + 27, 4*x = -2*f - 90. What is the remainder when 22 is divided by 2/(x/(-18) - 1)?
4
Let p(c) = -c**3 + 10*c**2 - 7*c + 1. Let b(t) = 5*t**2 + 21*t + 1. What is the remainder when b(-6) is divided by p(9)?
17
Let s = 823 - 804. What is the remainder when 199 is divided by s?
9
Let x(l) = 21*l**3 - 2*l + 2*l + 1. Let c = -126 - -127. Calculate the remainder wh