4 + -46. What is the remainder when n is divided by (-4)/(-6) + (-1397)/(-33)?
2
Suppose -11*v + 636 = -7*v. Let i = v - 152. What is the remainder when 76 is divided by i?
6
Let x(l) = l**2 - 2*l - 2. Let a(s) = 9*s**2 - 8*s - 5. Let m(g) = a(g) - 6*x(g). What is the remainder when m(4) is divided by 36?
35
Let y(c) = c - 4. Let g be y(5). Calculate the remainder when -2 - -35 - (g + -2) is divided by (-276)/(-66) + (-2 - 120/(-66)).
2
Let k(y) = 2*y**2 + 55*y - 24. Let w(h) = h**2 + 28*h - 11. Let o(u) = -6*k(u) + 11*w(u). What is the remainder when o(-20) is divided by 23?
17
Suppose 3*n + 2 - 19 = -h, 3*h + 5*n - 39 = 0. Let p = 42 + -11. Let r = p - h. What is the remainder when 158 is divided by r?
20
Let f(s) = -2*s + 23. Let j be f(-7). Suppose -2817 = 28*r - j*r. What is the remainder when r is divided by 63?
61
Let k be -76 + (-3 - -1)*1. Let m = k - -121. Suppose -q + m + 0 = 0. What is the remainder when q is divided by 11?
10
Let x = -446 - -173. Let f = -231 - x. Let i = -8 - -24. What is the remainder when f is divided by i?
10
Let s(p) = -4*p**3 + p**2 + p. Let j be s(-1). Suppose 21 = -j*h + 241. Suppose 0 = -y - 0*y + 14. Calculate the remainder when h is divided by y.
13
Let l(j) = -21*j + 15*j + 0*j**3 - 5*j**2 - j**3. Let f(m) = -14*m + 66. Let p be f(5). What is the remainder when 12 is divided by l(p)?
4
Suppose 5*g - 74 = -4*s, -3*s + 42 = 65*g - 68*g. What is the remainder when 1982 is divided by s?
14
Let a(n) = -3*n**2 + 82*n + 5. What is the remainder when a(24) is divided by 4?
1
Let l(o) = -50*o**2 + 404*o - 4. Calculate the remainder when l(7) is divided by 131.
112
Let g = 521 - 262. Suppose -4*d + 19*x = 14*x - g, 320 = 5*d - 5*x. Calculate the remainder when 111 is divided by d.
50
Suppose 0 = 2*s + 3*t - 165, 4196*t - 4198*t + 6 = 0. Suppose 51 = 3*b - 3*k, -2*b + 2*k = 7*k - 27. What is the remainder when s is divided by b?
14
Suppose 103 = -24*p + 31. Let g(a) = -4 - 6*a + 4 - 1. What is the remainder when 67 is divided by g(p)?
16
Suppose 76 = -3*c + 5*c. Suppose b - 2*k - 199 = 0, 0*b = -5*b - k + 962. Let q = b - 119. Calculate the remainder when q is divided by c.
36
Suppose -25*j + 64 = -21*j - 4*l, -4*j + 54 = l. Suppose 2*v = -0*g - 4*g + j, 5*v - g - 68 = 0. What is the remainder when 45 is divided by v?
6
Let t = -1196 - -1227. What is the remainder when t is divided by 11?
9
Let s be -4 - -5*26 - 1. Let a = -110 + s. Calculate the remainder when 47 is divided by 6*((-10)/a - -2).
7
Suppose 3*x + 2 - 434 = -3*l, 0 = l + 4*x - 147. Calculate the remainder when l is divided by ((-29)/(-2))/(1/2).
27
Let d(z) = 68*z + 12 + 71*z - 129*z. Calculate the remainder when 257 is divided by d(4).
49
Let m = -112 - -145. Suppose 3*a - 4*d - 44 = 0, -4*a + 3*d + 12 = -42. Suppose 5*f = 4*f + a. Calculate the remainder when m is divided by f.
9
Calculate the remainder when 212 is divided by ((-39)/(-9) - -1)*(-636)/(-106).
20
Suppose -10*f + 116 + 104 = 0. What is the remainder when 1289 is divided by f?
13
Let k(f) = f - 2. Let l be k(-1). Let a(r) = r**2 + 6*r - 9. What is the remainder when a(-9) is divided by (l - 5/(-3))*-3?
2
Suppose -23*b + 213 + 2406 = 74*b. Calculate the remainder when 162 is divided by b.
0
Let n = -79 + 12. Let d = n + 69. Suppose 0 = 4*p - v - 176, p + 23 = d*p + 5*v. Calculate the remainder when p is divided by 15.
13
Let x(t) be the second derivative of -t**5/20 - 7*t**4/12 - 4*t**3/3 - 2*t - 1. What is the remainder when 153 is divided by x(-6)?
9
Let j(y) = 134*y - 7674. What is the remainder when 1431 is divided by j(60)?
333
Suppose -3715 = 4*w + 3*g, 3*g = -3*w + 337 - 3127. Let b = w + 989. Suppose 2*u - 18 = 26. Calculate the remainder when b is divided by u.
20
Suppose 4*r = -3*o + 16074, -2*o = -873*r + 874*r - 10726. What is the remainder when o is divided by 59?
56
Let r(t) = -t**2 + 6*t - 7. Let h be r(3). Suppose -2*w - z + 51 = 0, h*z - 7*z - 81 = -4*w. Calculate the remainder when w is divided by (-14)/(-2)*(3 + -1).
10
Let u = 70 - 65. Suppose -5*i = -10, u*y + 0*y - 5*i + 20 = 0. Calculate the remainder when y/3 - -622*4/24 is divided by 13.
12
Suppose -5698 - 4138 = -19*m + 5155. What is the remainder when m is divided by 115?
99
Suppose -2*y + 453 = -165. What is the remainder when y is divided by 9?
3
Let x = 12 + -8. Suppose 0 = b - 3*q + 7, -5*q - 15 = -x*b - b. Let g = 41 + b. What is the remainder when g is divided by 25?
24
What is the remainder when 316 is divided by (-1)/(1*-6) - 12374/(-276)?
1
Suppose 11*d - 19*d + 152 = 0. Suppose 2312 + 536 = 71*c - 4749. Calculate the remainder when c is divided by d.
12
Let m(a) = -4*a - 8. Let v be (3 - (-1 - -18) - -2)/(-2). Suppose -2*x = -2*g - 22, -g + v*x = 3*x + 17. What is the remainder when m(g) is divided by 9?
6
Suppose 8*c - 131 - 69 = 0. Suppose 6*v - 11*v + c = 0. Suppose 2*o - 68 = -o - 4*t, -55 = -5*o + v*t. What is the remainder when o is divided by 6?
4
Suppose 2*n = 5*d - 24, n = -d + 4 - 2. Let z(b) = b**2 + 149*b + 5116. Calculate the remainder when z(-53) is divided by 156/27 + n/(-9).
4
Let g = 1990 - -2419. Calculate the remainder when g is divided by 30.
29
Let y be (-122616)/(-66) + -3 + (-6)/(-33). Suppose 11*g = 103 + y. What is the remainder when g is divided by 17?
8
Let o = 29 + 4. Let x = 431 + -424. Let z(k) = -k**3 + 7*k**2 + k - 2. Calculate the remainder when o is divided by z(x).
3
Let t be (1/(8/(-108)))/(1/(-14)). Suppose n + 4*m = -39 + t, n = -m + 156. What is the remainder when n is divided by 32?
30
Let u = -13 + 23. Let o be (-4)/((-39 - 1)/10). What is the remainder when o/(-6) - (-21311)/606 is divided by u?
5
Suppose 32*b = 31*b. Suppose -2*s = -6 - b. Calculate the remainder when (s/2)/((-6)/(-76)) + -2 is divided by 10.
7
Let f = -21705 - -21723. What is the remainder when 1330 is divided by f?
16
Let u(j) be the third derivative of 7*j**5/60 + j**4/8 + j**3/6 - j**2. Let p be u(-3). What is the remainder when p - 4/3*3 is divided by 18?
15
Calculate the remainder when (4264 + 1)/(7*3/21) is divided by 18.
17
Let c = -1237 - -1283. What is the remainder when 688 is divided by c?
44
Let i = -99283 + 99572. Let w(z) = 19*z + 1. Calculate the remainder when i is divided by w(3).
57
Suppose 3*k - 839 = 5*d, 1450 = -3*k + 8*k + 2*d. What is the remainder when k is divided by (-28)/(-35)*-435*(-3)/36?
27
Let a(l) = -4*l**2 - 81*l - 9. Calculate the remainder when 371 is divided by a(-20).
8
Let o be ((-10)/3)/(2/(-24)). Suppose -3*t - 7*t + o = 0. Calculate the remainder when 145 is divided by ((-74)/3)/(t/(-6)).
34
Suppose 5*n + 19 = -y, 13 + 3 = -4*n. What is the remainder when 37 is divided by 8 - (y/(-3))/((-17)/51)?
2
Let o be -3*33*(-6)/(-18). Let u be (-1)/1 + (-37 - o). Calculate the remainder when (-1*16/20)/(u/150) is divided by 14.
10
Suppose -p + 4*j + 183 = -19, 615 = 3*p - 3*j. What is the remainder when p is divided by 50?
6
Suppose 3744 = -64*q + 80*q. Calculate the remainder when 454 is divided by q.
220
Suppose -10*c + 99 + 230 = 37*c. What is the remainder when 1451 is divided by c?
2
Let s = 105 + 148. Suppose 0 = 3*t - 1007 - s. What is the remainder when t is divided by 47?
44
Suppose t - m - 1143 = 0, 6*t - 3*t - 3421 = 5*m. Suppose -3*n + 235 = t. Calculate the remainder when (n/64)/((-1)/4) is divided by 10.
9
Let y(d) = -4*d**2 - 376*d + 32. Calculate the remainder when 794 is divided by y(-94).
26
Let l = -287 - -545. Let p = 238767 - 238729. What is the remainder when l is divided by p?
30
Let q be 6/(-9) + ((-380)/15)/1. What is the remainder when 292/(-6)*117/q is divided by 44?
43
Suppose 69 = -2*j + 3*o, -j - 10*o + 8*o - 52 = 0. Suppose 0 = -4*b + 7 + 5. What is the remainder when (-7)/j*b - (-19)/2 is divided by 6?
4
Let s(z) = -51*z**2 - 6*z + 6. Let f be s(-3). Let d = -362 - f. What is the remainder when 196 is divided by d?
50
Suppose 680 + 4615 = 15*r. Let o = r - 338. Calculate the remainder when o is divided by 4.
3
Let i(h) = -h**3 - 2*h**2 + 106*h + 89. Calculate the remainder when 1355 is divided by i(-11).
11
Let z = -9463 - -9558. Suppose 12*c - 7*c - 120 = 0. Calculate the remainder when z is divided by c.
23
Let r(p) = -p**2 + 92*p + 143. What is the remainder when r(45) is divided by 119?
116
Suppose -c - d + 3 = -0*c, 1