 the remainder when x is divided by 4.
3
Suppose -923 - 601 = -6*a. Calculate the remainder when a is divided by 15.
14
Let m = -4 + 20. Suppose -3*n - 2*s + 23 = -23, -s + m = n. Let r(u) = u**3 - 6*u**2 - 4*u + 6. What is the remainder when r(7) is divided by n?
13
Let a be (-170)/4*(-156)/130. Suppose 5*h = a + 29. Calculate the remainder when 171 is divided by h.
11
Suppose 4*f - f = 231. Suppose 891*t - 5285 = 12535. What is the remainder when f is divided by t?
17
Suppose -2*f + 31460 = -4*f + 22*f. Calculate the remainder when f is divided by 389.
17
Suppose -769 = -6*g - 175. Let o = 298 - g. Calculate the remainder when o is divided by 50.
49
Suppose -1042 = -10*g - 22. Let z = g - 81. Calculate the remainder when 209 is divided by z.
20
Suppose -6*i = -14 - 3310. Let z = i - 300. Calculate the remainder when z is divided by 15.
14
Let o be 0 + 1 + (6 - 1). Suppose 2*p + 52 = -236. What is the remainder when (-5 + o)/(-1 - p/141) is divided by 12?
11
Suppose -2*c - 2*i + 502 = -436, -3*c - 4*i = -1398. What is the remainder when c is divided by 112?
30
Let z = -2500 - -2510. What is the remainder when 20/(-15)*1*-216 is divided by z?
8
Let x(i) = 39*i + 7728. What is the remainder when 1115 is divided by x(-198)?
5
Let l(b) = -18*b - 96. Let k be l(-5). Let w(t) = t**3 + 2*t**2 - 30*t + 4. What is the remainder when w(k) is divided by 11?
7
Suppose -2*x - 2 = 6*m, 6*m + 40 = 4*x + 7*m. Calculate the remainder when 272 is divided by x.
8
Suppose -y - 44 = -3*y. Suppose -139*v + 142*v + 18 = 0. What is the remainder when y is divided by (-24)/(-3 + -1 - (v + 4))?
10
Let p = -403 - -790. Let x be (4/6)/(3/p). Let i = x - 84. What is the remainder when 14 is divided by i?
0
Let d(s) = s**2 + 11*s - 18. What is the remainder when 36 + (-8 - (-22)/2) is divided by d(-13)?
7
Calculate the remainder when 1994 is divided by ((-9)/24*54)/((-21)/56).
50
Suppose 0 = -5*c + 3*k + 5, -2*c + 8*k - 17 = 3*k. What is the remainder when 36 is divided by c?
0
Suppose 0 = -4*p - x - 4 + 43, -26 = -3*p - 4*x. Let v(k) = -k**3 - 17*k**2 - 24*k - 70. Calculate the remainder when v(-16) is divided by p.
8
Let g = 7 - -14. Let y be (5/(5/(-808)) - 3)/(-1). Let z = y + -749. Calculate the remainder when z is divided by g.
20
Suppose 31*g - 44 = -c + 29*g, 0 = -2*c - 3*g + 91. Calculate the remainder when 51 is divided by c.
1
Suppose -1874 = -2*u - 3*t + 1720, -t = -3*u + 5413. Suppose -5*r - 1683 = -u. Calculate the remainder when r is divided by 9.
6
Suppose 0*y + 6*y - 36 = 0. Let g(l) = -l**3 + 7*l**2 - 5*l + 4. Let r = -28 + 55. Calculate the remainder when r is divided by g(y).
7
Let f = -12605 - -12619. Calculate the remainder when (0 + -5)/(1/(-13)) is divided by f.
9
Suppose 4*s - 3530 = -3*u, -5*s + 2*u = -9*s + 3532. What is the remainder when s is divided by 5?
4
Let x = -31 + 43. Suppose -5*j - j = x. What is the remainder when 32 is divided by (j + 0)/((-4)/16) + 3?
10
What is the remainder when 3069 is divided by ((-32)/7)/((-74)/518)?
29
Let v = 692 + -669. Let z = -64 - -102. What is the remainder when z is divided by v?
15
Let t = 146 - 147. Let i be (10 - 11)/(t/(-125)). Let f = -82 - i. Calculate the remainder when f is divided by 16.
11
Let q(r) = r**2 - 7*r - 9. Let v = -16 - -72. Let t = v + -42. Calculate the remainder when q(t) is divided by 18.
17
Let l(u) = -18*u + 35. Let t be l(17). Let p = -120 - t. What is the remainder when p is divided by 11?
8
Let g(n) be the first derivative of -10*n - 4*n**2 + 12 - 1/3*n**3. Calculate the remainder when g(-4) is divided by 5.
1
What is the remainder when ((-160)/(-800))/(4/25) - 25395/(-4) is divided by 37?
23
Let n(u) = -2*u**2 + 7*u - 8. Let y be n(1). Let o be (-1 - y) + 4 + 72/(-1). Let b = 106 + o. What is the remainder when 198 is divided by b?
38
Let y(p) = -35*p + 709. Calculate the remainder when y(9) is divided by 100.
94
Let b(x) = -2*x**2 - 140*x + 1787. Suppose -8*y + 3*y = -80. What is the remainder when y is divided by b(-81)?
1
Let x = -1060 - -1080. Suppose 5*t + a - 436 = 0, 0 = t + a - 75 - 9. What is the remainder when t is divided by x?
8
Calculate the remainder when 9498 - -5*3/5 is divided by 216.
213
Let h be -1 + ((-16)/(-6))/((-1)/(-30)). Let l = 131 - h. Calculate the remainder when 8/((-10)/5) + l is divided by 26.
22
Let y(q) = q - 11. Suppose 0 = -2*u + 5*u - 24. Suppose l - 13 - u = 0. What is the remainder when l is divided by y(19)?
5
Suppose 199*a = 259*a - 840. Calculate the remainder when 65 is divided by a.
9
Let g be ((-3 + 4)*-2)/((-10)/15). What is the remainder when 4/g*(1287/18 + -1) is divided by (-1 - -13 - 1) + 1?
10
Let f(o) = o**2 + 104*o - 893. What is the remainder when 145 is divided by f(8)?
1
Suppose -28*j = -36*j + 2760. Calculate the remainder when j is divided by 52.
33
Let m(b) = 16*b**2 - 64*b - 178. What is the remainder when m(-3) is divided by 24?
14
Suppose 0 = 5*d - 5*r + 75, -6*r + 2*r = -2*d - 36. Let o be (-1797)/21 - d/21. Let h = o + 101. What is the remainder when 24 is divided by h?
8
Let x(d) = 92*d + 1133. What is the remainder when 516 is divided by x(-12)?
23
Suppose 32 = 35*r - 31*r. Suppose -4*t + j = -270, 0 = 5*j + r - 18. Calculate the remainder when t is divided by 24.
20
Suppose -362 - 258 + 69 = -19*t. What is the remainder when 656 is divided by t?
18
Let v(i) = -55*i + 59. Let t be v(1). Suppose 0 = -z + t*c + 87, -4*z + c + 492 = z. Calculate the remainder when z is divided by 22.
11
Suppose 4*f = 43 + 33. Let y = -4 + -143. Let m = y - -221. Calculate the remainder when m is divided by f.
17
Let k = -1806 + 1873. Suppose -m = h + h - 91, 4*h - 4*m - 176 = 0. Let f = 68 - h. Calculate the remainder when k is divided by f.
21
Suppose 375*a - 371*a + 4 = 0, -2*a = 2*t - 72. Let i(c) = 3*c + 1. Let r = 2 - -2. Calculate the remainder when t is divided by i(r).
11
Let j = -12757 + 12777. Suppose 3*y - 7*y + 492 = 0. Let d = y + -68. Calculate the remainder when d is divided by j.
15
Let r be 72/3 + -2 - -4. Calculate the remainder when ((-4)/r + 44/(-52))*-287 is divided by 48.
47
Suppose -b + 12*b = 42 + 79. Suppose -169 = -2*h + 3*n + 2*n, -3*n - 345 = -4*h. What is the remainder when h is divided by b?
10
Suppose 236 - 376 = -4*p. Let q(l) = l**2 - 3*l + 3. Let k be q(3). Suppose 0 = -4*a, -2*a = -2*s + k*a + 274. What is the remainder when s is divided by p?
32
Suppose 5*y - 3*m = 1318, -540 = -2*y + m - 3*m. Suppose 0 = 28*p - 27*p - y. What is the remainder when p is divided by 15?
11
Suppose -1149 = -17*o + 381. What is the remainder when 10618 is divided by o?
88
Suppose -49*m + 68 = -15*m. Suppose 2*s = 2*r + m*r - 852, -860 = -4*r + 4*s. Calculate the remainder when r is divided by 54.
49
Let b(d) = 11 + 3 - 14*d - 7 + d**3 + 5 + 14*d**2. Let p be b(-15). What is the remainder when 45 is divided by 90/25*(-10)/p?
9
Suppose 0 = -o - 5*d + 3, 0*o - 4*d = 2*o - 36. Suppose -v - v = 92. Calculate the remainder when o is divided by (10 + (1 - 1))*(-69)/v.
13
Suppose 0 = 61*d - 46*d - 2550. Calculate the remainder when 1864 is divided by d.
164
What is the remainder when 1*((-7 - -139) + 15) is divided by 45?
12
Suppose -3*z = -9, 6*d - 2*d - 4*z - 1044 = 0. Calculate the remainder when d is divided by 15.
9
Let g = -322 - -216. Let v = g - -124. Calculate the remainder when v is divided by 1.
0
Suppose -3*b - 4*k = -18, 9*k = 4*k. Suppose b*q = q + 125. Calculate the remainder when q is divided by 6.
1
Let g = -24 + 26. Let m be 2 + -4 + g/1. Suppose -3*b - 7*f + 6*f + 137 = m, b + 2*f = 49. Calculate the remainder when b is divided by 17.
11
Let o(m) = -53 - 6*m + 12*m + 4*m + 11. Calculate the remainder when o(7) is divided by 17.
11
Let j(y) = -6*y**2 - 68*y - 16. Let m(z) = -14*z**2 - 138*z - 33. Let s(n) = -5*j(n) + 2*m(n). What is the remainder when s(-33) is divided by 78?
2
Suppose -g + 75 + 285 = -3*z, 3*z - 1440 = -4*g. Suppose -12733 = -32*i - 9821. Calculate the remainder when g is divided by i.
87
What is the remainder when ((-34)/3)/(2/(-15)*655/5371) is divided by 39?
34
Suppose 2*l - 1560 = 78*m - 80*m, 7 = -m. What is the remainder when l is divided by 112?
3
Let z be 2/(-9) + (929/9 - 0). Suppose 6*s - z = 197. What is the remainder when s is divided by 19?
12
Calculate the remainder w