3. Let u be (-1)/(-2) + 130/(-20). Let p be v(u). Let m = p + 2. Calculate the remainder when 22 is divided by m.
4
Let q = -3579 + 3790. What is the remainder when q is divided by 10?
1
What is the remainder when (-24)/(-2376)*18 + (-17948)/(-22) is divided by 32?
16
What is the remainder when 2373 - 10/(-4)*4/(-5)*-1 is divided by 36?
35
Suppose -7*j = 134 + 216. Calculate the remainder when 1/((-2)/(-4)) - -42 is divided by 224/10 + 320/j + 7.
21
Suppose 3465 = 5*j + 50*j. Calculate the remainder when 373 is divided by j.
58
Calculate the remainder when (-4)/10 + (-30)/(-75) + 223 is divided by 78.
67
Suppose -2*m - u = -10 - 20, u - 17 = -m. Calculate the remainder when 190 is divided by m.
8
Let z = 7354 + -6817. Calculate the remainder when z is divided by 224.
89
Let c(i) = 12*i + 24. Let a be c(-2). Suppose a*r = 7*r - 98. Calculate the remainder when 151 is divided by r.
11
Let a(z) = z**2 + z - 9. Let k be a(-4). Calculate the remainder when -6*(4/6 - 11/k) is divided by 17.
1
Let c be (-134)/(-9) - 18/(-162). Suppose 2*b + 11 - 38 = -5*j, 5*j = -4*b + 29. Calculate the remainder when 22 is divided by (((-8)/(-10))/1)/(b/c).
10
Let c(s) = -133*s**2 + s**3 + 93*s**2 + 42*s**2 + 43 - 12*s. What is the remainder when c(4) is divided by 29?
4
Let p = 77 - 78. What is the remainder when (p - -68) + (8 - 7) is divided by 5?
3
Let y = 5332 - 4183. Calculate the remainder when y is divided by 320.
189
Let y = 1 - -10. Let d be 0/((0 + (-6 - -5))*2). Suppose 26*h - 441 - 3823 = d. Calculate the remainder when h is divided by y.
10
Suppose -21 = -29*r + 617. Calculate the remainder when 559 is divided by r.
9
Let q be (-4)/6*4*(2 - -1). Let v be q + 19 + (-1)/3*0. Let y(w) = -w**3 + 10*w**2 + 11*w + 21. What is the remainder when 38 is divided by y(v)?
17
Let i = 515 + -466. What is the remainder when 224 is divided by i?
28
Suppose 24*b - 23*b = -5*t + 730, 0 = 3*b - 3*t - 2118. Let n = b + -651. Calculate the remainder when 194 is divided by n.
17
Let x(b) be the third derivative of 73*b**4/24 + 8*b**3 + b**2 - 8. What is the remainder when x(3) is divided by 16?
11
Suppose 0 = 30*m - 214 - 596. Calculate the remainder when 69 is divided by m.
15
Suppose 0 = 3*g - 5*c - 743, 12 = -9*c + 6*c. What is the remainder when g is divided by 69?
34
Let c = -5990 - -6042. What is the remainder when 197 is divided by c?
41
Let s = -13807 - -13886. Calculate the remainder when 1004 is divided by s.
56
Let x(u) = 50*u + 5. Let b be x(-2). Let k be ((-4)/(-10))/((-19)/b). Suppose 3*m + k*m = 50. Calculate the remainder when 35 is divided by m.
5
Calculate the remainder when (-6 - (2 - ((-1815)/10)/(-11)))*38 is divided by 23.
1
Suppose 9*y - 2658 = 1797. Let k = -422 + y. Calculate the remainder when 655 is divided by k.
71
Suppose 0 = -2*q - n + 25, 0 = -5*q - 2*n + 64. Suppose 0 = -q*g + 3*g + 957. Calculate the remainder when g is divided by 26.
9
Let m = 78 + -140. Let w = 71 + m. Let y(n) = -n**2 - 14*n - 9. Calculate the remainder when y(-11) is divided by w.
6
Let a(m) = 2*m**3 - 3*m**2 + 3*m - 5. Let g be a(3). Suppose -80*j - g = -81*j. What is the remainder when 244 is divided by j?
27
Suppose -2*w + 47 - 27 = 3*n, -2*n = w - 11. Suppose -9*a + w*a + 4*v + 16 = 0, 0 = -v + 1. Calculate the remainder when a is divided by (-1)/2*0 + 8.
2
Let t be 5/(-20) - (2 + (-58)/8). Suppose -t*i - d + 485 = -0*i, 3*d = -5*i + 475. What is the remainder when i is divided by 25?
23
Let f be 5*(-1)/(-7)*7. Suppose f*o - 1120 = -5*a, 226 = a - 0*o + 2*o. Calculate the remainder when a is divided by 16.
14
Let a = 47 + 5. Suppose -9 = -2*v + 33. What is the remainder when a is divided by v?
10
Suppose -7*y - 637 - 1869 = 0. Let l = -306 - y. What is the remainder when l is divided by 6?
4
Let i = 1379 - 1375. What is the remainder when 170 is divided by i?
2
Let h = -7984 - -15445. Calculate the remainder when h is divided by 12.
9
Let q = 4207 + -807. Calculate the remainder when q is divided by 162.
160
Let m(l) be the third derivative of -l**4/12 + 14*l**3 - 2*l**2 - 30. Calculate the remainder when 53 is divided by m(31).
9
Let m(n) = -5*n**2 - 63*n - 65. Calculate the remainder when 187 is divided by m(-7).
56
Let j = 5785 - 5629. Calculate the remainder when 162 is divided by j.
6
Suppose t + 0*t = 26. Calculate the remainder when t is divided by (-6*(-28 - -26))/((-4 - -5) + 1).
2
Suppose 4*y + 1312 = -2*b, 2*b + 0 = -8. Let p = 330 + y. What is the remainder when 19 is divided by p?
3
Let s = -36818 - -36866. Suppose -5*k + p = -22, p - 4 = -1. Calculate the remainder when s is divided by k.
3
Let p = -68 + 115. Let g(m) = -m**3 - 8*m**2 - 13*m + 5. Let k be g(-5). Let x(n) = n**3 + 4*n**2 - 9*n - 4. What is the remainder when p is divided by x(k)?
15
Let r be 3*(-6)/27 - (-98)/21. Calculate the remainder when r + (8 + 628 - -4) is divided by 38.
36
What is the remainder when 10251 is divided by (((-1)/(-3))/(6/(-22)))/(315/(-2835))?
10
Suppose -4*m + 520 = -13*z - 2752, 2*m - 1636 = 2*z. Calculate the remainder when m is divided by 3.
2
Let m be -25 + (2 - -1 - -1). Let c(p) = -p + 9. Calculate the remainder when 57/1 - 0/4 is divided by c(m).
27
Let k = -15208 + 15261. Calculate the remainder when 310 is divided by k.
45
Let t(h) = -267*h - 10044. Calculate the remainder when 397 is divided by t(-38).
91
Suppose -5*u - 23*b + 18*b + 420 = 0, 4*b - 166 = -2*u. Calculate the remainder when 1270 is divided by u.
80
Let w(r) = -r**3 + 7*r**2 - 8*r + 12. Let h be w(6). Let b be h - -1 - (7 - (3 - -2)). Let o = b - -33. What is the remainder when 127 is divided by o?
31
Let l(i) = 4*i**3 - 2*i**2 + 9*i - 2. Calculate the remainder when l(5) is divided by 135/(-3 - 12) - -25.
13
Let z be ((-6)/9 - 0)/(2/12). What is the remainder when (-43 - -67)*(-65)/z is divided by 14?
12
Suppose 201 = 5*w + 2*b, -42 = -16*w + 15*w - b. Let l(g) = -4*g**3 - 2*g**2 + 6*g + 6. What is the remainder when l(-5) is divided by w?
36
Suppose -25*d + 12090 = 23*d + 14*d. Calculate the remainder when d is divided by 1.
0
Suppose -47*w = -31185 - 8906. What is the remainder when w is divided by 18?
7
Suppose -29*t - 66 = -32*t. Let v be 1 + 3 + (-409 - -6). Let n = -268 - v. Calculate the remainder when n is divided by t.
21
Let q = 10864 + -9810. What is the remainder when q is divided by 118?
110
Let t = -4413 + 4933. Calculate the remainder when t is divided by 18.
16
Let u = 10455 - 9726. What is the remainder when u is divided by 118?
21
Let n(a) = a - 3. Let s(c) = 30. Let j(x) = 15*n(x) + 5*s(x). What is the remainder when 171 is divided by j(-3)?
51
Let r be 4*((-2)/((-8)/68) - -1). Suppose -2*s - 5 = 3*l, 0 = -5*s - 6*l + 2*l - 2. Suppose 0 = s*x - 5*x + r. What is the remainder when 68 is divided by x?
20
What is the remainder when (2 - (-4417)/14)*(5 - 3) is divided by 219?
197
Let z(h) = h**2 + 9*h + 15. Let a be z(-7). Let p = -11 - a. Let w(y) = -y**2 - 13*y + 15. What is the remainder when 105 is divided by w(p)?
24
What is the remainder when 183 is divided by (-315)/(-49) - 7 - 4014/(-42)?
88
Calculate the remainder when 2833 is divided by -1795*(-6)/510 - 16/136.
19
Suppose -x = 5*a - 599 - 641, 0 = -a + x + 248. Let s(f) = f**3 + 4*f**2 - 2*f + 2. What is the remainder when a is divided by s(-4)?
8
Let j(u) = -u**2 - 10*u - 7. Let q be j(-9). Let t(i) = 95*i - 49. What is the remainder when t(q) is divided by 36?
33
Let s = 195 - 177. Let v(c) = -13*c - 57. What is the remainder when v(-8) is divided by s?
11
Let q be 17 - -5*4/(-20). Suppose -r - q = -5*r. Let j(g) = g**2 + 1. What is the remainder when j(r) is divided by 10?
7
Let x be -8*(-3)/(-9)*78/(-52). Suppose -2*v + x*j = -58, -32*j = 3*v - 31*j - 59. What is the remainder when 354 is divided by v?
18
Let c(k) = -k**3 + 26*k**2 + 88*k + 16. What is the remainder when 117 is divided by c(29)?
27
Let y(w) = w**3 + 25*w**2 - 10*w - 54. What is the remainder when y(-25) is divided by 20?
16
Suppose -6*n + 5*i + 2341 + 9872 = 0, 4*i - 36 = 0. Calculate the remainder when 6129 is divided by n.
0
Suppose -120 = -2*f - 10*f. Suppose f = m - 11. What is the remainder when 61 is divided by m?
19
Let w be (-12)/(3/1) + -1 + 7. Let h be (10/30)/(0 + w/(-6)). Let q(o) = -26*o**3 + o. Calculate the remainder when q(