 divided by 5.
4
Suppose -4*l - 57 = -7*l. Suppose 2*k + 4*j = 3*j + 51, 3*k - 2*j = 59. Let z = k - l. What is the remainder when 8 is divided by z?
0
Let b(m) = 2*m**2 - 8*m - 419. What is the remainder when 193 is divided by b(18)?
23
Let s = -55 - -60. Suppose -5*z = u - 16, -5 + 17 = -3*u + s*z. Let c(f) = 87*f**3 - f**2 + 4*f - 3. What is the remainder when c(u) is divided by 30?
27
Let p(x) be the first derivative of 4*x**3/3 + 6*x**2 + 29*x - 18. Let v be p(-7). Let q = -101 + v. What is the remainder when 77 is divided by q?
37
Let h = 7102 - 7043. What is the remainder when 938 is divided by h?
53
Let k be ((-6)/7)/((-52)/28 + 2). Let g = 65 + k. What is the remainder when g is divided by (-6)/(99/(-45) + 2)?
29
Let l(n) = 45*n - 165. Let d(t) = 3*t**2 - 2*t + 2. Let p be d(1). Calculate the remainder when l(4) is divided by p/12*-2*-8.
3
Suppose -559*q + 4*a = -555*q - 2288, 2842 = 5*q - 2*a. Calculate the remainder when q is divided by 95.
91
Suppose 0 = 4*t - 4*o - 184, 42*o + 50 = t + 40*o. What is the remainder when 419 is divided by t?
41
Suppose 4*g = -v + 585, 2*g + 1472 = 3*v - 213. Calculate the remainder when v is divided by 8.
5
Suppose 69*x - 5230 + 262 = 0. Let c(r) = -r**3 - 2*r**2 - 4. What is the remainder when x is divided by c(-4)?
16
Let j(o) = 122*o - 8. Let a(t) = 59*t - 4. Let p(v) = 13*a(v) - 6*j(v). Calculate the remainder when 189 is divided by p(2).
57
Suppose -4547 + 707 = -15*v. What is the remainder when v is divided by 14?
4
Let i be (-3)/(-2)*8/6. Let v(w) = 7*w + 2. Let h(m) = 20*m + 96. Calculate the remainder when h(-1) is divided by v(i).
12
Let d = -1469 - -1478. Suppose -6 = g - 5*l, 3*g + 36 = -4*l + l. Let r = g + 38. Calculate the remainder when r is divided by d.
0
Let t be (-2 - -3) + 3*9 + 6. Suppose 561 = t*g - 17*g. What is the remainder when 262 is divided by g?
31
Suppose 105*i - 108*i = -3, 4*a - 2*i = 106. What is the remainder when 131 is divided by a?
23
Suppose 4*m + 0*m - 52 = 0. Suppose 8*t + 5096 = 1560. What is the remainder when t/(-10) + (-180)/(-225) is divided by m?
6
Let f = 19435 - 19262. What is the remainder when 9163 is divided by f?
167
Let r = -8 - -17. Let q = -689673 + 689686. Calculate the remainder when q is divided by r.
4
Let o(n) = 3*n**2 + 92*n - 17. What is the remainder when 543 is divided by o(-31)?
11
Suppose -4*q - 3*o + 24 = -q, -3*q + 4*o = -24. Calculate the remainder when 194 is divided by (48/q - -44) + -1.
47
Suppose 3*h = t + 19, -5*h - 4*t + 3 = -6. Suppose -2*w + 29 + 727 = 0. Let b = w - 374. What is the remainder when h is divided by b?
1
Suppose -16*i = -590 - 3122. What is the remainder when 6487 is divided by i?
223
Let c(d) = d**2 + 2*d - 1. Let v be c(1). Let g = -65 - -7. Calculate the remainder when (((-4)/(-4))/(v/g))/(-1) is divided by 5.
4
Suppose 8 = -2*v, 3*b + v = 696 + 80. Suppose -7*c + 5*y = -407, -4*c = -0*y + 4*y - b. Calculate the remainder when c is divided by 31.
30
Let a = -76 - -70. Calculate the remainder when 0 - (265/(-4) + a/(-24)) is divided by 18.
12
Let s be 4/10 - 8268/(-130). Let b = -57 + s. Suppose -b*z - 25 = -12*z. Calculate the remainder when 20 is divided by z.
0
Let z(g) = -12*g + 2*g**3 - 7*g**3 - 16 + 8*g**2 - 12*g + 6*g**3 - 14*g. Calculate the remainder when z(-11) is divided by 26.
13
Let q be (7 - (-995)/(-20))/((-4)/16). Suppose 13*h + 80 = q. Suppose -2*n - n = -9. Calculate the remainder when h is divided by n.
1
Let g = -959025 + 959159. Suppose 0 = -4*k + 4*i + 24, -k + 3*i + 6 = -8. Let t(p) = 23*p - 1. Calculate the remainder when g is divided by t(k).
44
Suppose -308*l + 310*l = 8. Suppose -38 = -2*q - 2*b, 5*b + 19 - l = 0. What is the remainder when 85 is divided by q?
19
Suppose 3*o + 5*c + 2 = 5, 2*c - 18 = -4*o. Calculate the remainder when 48/(-80) + 176/10 is divided by o.
5
Suppose -1 - 1 = -d. Suppose -d*x = u - 3*u - 98, -4*u = -x + 46. What is the remainder when x is divided by ((-204)/(-18))/((-2)/(-3))?
16
Let z = 8225 - 7539. Calculate the remainder when 1372 is divided by z.
0
Let g(p) = p**3 + 40*p**2 + 148*p + 158. What is the remainder when 59 is divided by g(-36)?
3
Suppose 0 = 2*q + 5*w - 4133, -5*q + 5927 = -4*w - 4488. What is the remainder when q is divided by 32?
31
Let g(q) = 6*q - 5 - 7 + 0. Suppose 5*d + 5 = 0, -4*d + 2 = 2*b - 82. What is the remainder when b is divided by g(4)?
8
Suppose -513*p + 7232 + 3150 = 2687. What is the remainder when 887 is divided by p?
2
Let s(j) = j**3 + 43*j**2 - 276*j. Calculate the remainder when 366 is divided by s(6).
42
Let c be (-5 - 2 - 1) + 2. Let o(q) be the second derivative of -q**3/6 + 5*q**2 - 45*q - 4. Calculate the remainder when 59 is divided by o(c).
11
Suppose 0 = -5*b + 3*h - h + 25, -3*b = h - 15. Calculate the remainder when 474 is divided by b.
4
Suppose -4*z + 1485 = 3*f, 2*z + 760 = 4*z - 2*f. Let o = 201 - 187. What is the remainder when z is divided by o?
11
Suppose 15*t = -4*t + 437. Let q = 524 + -251. Calculate the remainder when q is divided by t.
20
Let w = -6712 - -7816. Calculate the remainder when w is divided by 10.
4
Suppose -8 = -3*q - 2, 5*i = 5*q + 4765. What is the remainder when i is divided by 29?
27
Let d = 5468 - 5196. Calculate the remainder when 456 is divided by d.
184
Let g(x) = -x**3 - 27*x**2 + 7*x - 13. Let m be g(-27). Let y = -167 - m. What is the remainder when y is divided by 14?
7
Suppose -h + 205 = 4*h. Suppose 4*j - 2*p - 66 = 0, -4*j + 4*p + 87 = j. Calculate the remainder when h is divided by j.
11
Let s be 201/(-2)*(-4)/6. Let p be (-7)/(-2)*(-604)/(-1057). Suppose 0 = -3*w - 5*i + s, -p*w = i - 2*i - 36. Calculate the remainder when 74 is divided by w.
17
Let f(o) = -o**2 + 7*o + 13. Let j be f(8). Suppose 8*b - j = -69. Calculate the remainder when (((-5056)/28)/4)/(b/28) is divided by 40.
38
Let p(r) = 2*r**2 + 213*r - 923. Calculate the remainder when 303 is divided by p(-111).
75
Let v(k) = -13*k - 8. Suppose 0 = 258*s - 253*s - 25. Suppose 2*a + s*w = 5*a - 87, 0 = -5*a - 2*w + 176. What is the remainder when v(-11) is divided by a?
33
Suppose 16*u = 2*u + 56. Suppose u*i = 19 + 221. Let l = 0 + 22. What is the remainder when i is divided by l?
16
Suppose 6*y - 6867 = -5157. What is the remainder when y is divided by 82?
39
Suppose -4*o + 1 = -15. Let n(a) = 8*a + 405. Let l be n(-51). Calculate the remainder when (l + -6)*o/(-3) is divided by 6.
0
Let o = 322 - 8. Let u = o + -86. What is the remainder when u is divided by 33?
30
Suppose -21*q - 75 = 4*q. Let r(b) = 40*b**2 + 93*b - 7. Calculate the remainder when 146 is divided by r(q).
72
Suppose 17 = 3*d + 5. Suppose -2*v + 5*v - 160 = 2*q, -d*v + 175 = 5*q. Let i = -16 - -33. Calculate the remainder when v is divided by i.
16
Let b = 1841 - 1674. Calculate the remainder when b is divided by 42.
41
Suppose -2*m - 4*u = -16, 4*m - 18 = -9*u + 8*u. Suppose 5*s - 120 = -m*y - y, 5*s - 108 = -y. What is the remainder when 71 is divided by s?
8
Let f = -12158 - -12190. Calculate the remainder when 151 is divided by f.
23
Suppose -3*q + 73 = -164. Let a = 87 - q. Let s = -5 - -7. Calculate the remainder when a is divided by s.
0
Suppose 0 = 278*a - 4484 - 3300. Calculate the remainder when -1 - 1 - (-1 - 138) is divided by a.
25
Suppose -372 = -4*g + 4*m, 4*m = 5*g - 469 + 7. What is the remainder when 440 is divided by g?
80
Suppose 4*q = 31*b - 32*b + 685, -q - 3*b + 163 = 0. What is the remainder when 694 is divided by q?
6
Let x = -260 + 100. Let f = 276 + x. What is the remainder when f is divided by 10?
6
Let f(w) = 7*w - 5. Suppose -4*s + m + 842 = 0, -261*m = -s - 259*m + 221. What is the remainder when s is divided by f(5)?
29
Let u(q) = 2300*q - 4557. What is the remainder when 140 is divided by u(2)?
11
Let h = 209 + -207. Suppose 25 = h*m - 3. Suppose 0 = 3*u - 0*u - 5*j - 94, u - 3*j - 38 = 0. What is the remainder when u is divided by m?
9
What is the remainder when 4420 is divided by 1/1 - ((-76)/(-19) - -7)/(-1)?
4
Suppose -348 = 552*a - 581*a. Let v = 8 + -3. What is the remainder when a is divided by v?
2
Let c(i) = -102*i - 2612. What is the remainder when 425 is divided by c(-27)?
141
Let v = -38816 + 40489. What is the remainder when v is divided by 554?
11
Let n be (-6)/39 + (-1944)/39. Suppos