(x). Calculate the remainder when p(4) is divided by 45.
43
Let k(m) = -m**3 + 8*m**2 - 10*m + 7. What is the remainder when (-33)/84 - (-290)/2030 - -6*91/8 is divided by k(6)?
11
Suppose z = -4*a + 411, 4*z - 334 = -5*a + 177. Let k = a + -56. What is the remainder when k is divided by 16?
15
Suppose 3*b = 5*x + 67, -b - 95 = -6*b + 5*x. Suppose 26*z - 24*z - 556 = 0. Calculate the remainder when z is divided by b.
12
Let z(k) be the first derivative of 5*k + 20 + 4*k**3 + 5/2*k**2. Calculate the remainder when z(-2) is divided by 15.
13
Let m(q) = -10*q - 4. Suppose 2*p + 72 = 42. Let j(x) = x**3 + 17*x**2 + 31*x + 14. Let i be j(p). Calculate the remainder when 50 is divided by m(i).
2
Suppose -86 = 4*n - 526. Let v be (1 + 70/8)*-8. Let b = n + v. Calculate the remainder when b is divided by 3.
2
Let o(r) = 3*r**2 - 7*r - 2. Let a be o(2). What is the remainder when 60/((-20)/8 - a) is divided by 14?
12
Let h = 34644 - 34623. Let t(q) = 2*q**3 + q**2 - 4*q - 3. What is the remainder when t(4) is divided by h?
20
Let z(s) = 20*s - 12. Let r be z(3). Let i be r + (12/20 - (-26)/(-10)). Calculate the remainder when i*((-45)/(-10) + -3) is divided by 36.
33
Suppose -6*s = -34 - 404. Let k(h) = -h**2 + 14*h - 3. Let m be k(14). Let d(q) = -2*q**3 - 2*q**2 + 7*q. Calculate the remainder when s is divided by d(m).
13
What is the remainder when (-2)/(3387/13564 - (-41)/(-164)) - 5 is divided by 113?
110
Let h(g) = -5*g + 1. Let f be h(1). Let k be 176/f + 0*(-3)/6. Let o = -26 - k. What is the remainder when 69 is divided by o?
15
Let r(a) = 2*a**2 - 12*a - 7. Suppose -48 = -4*s - 56, 2*s + 42 = 2*k. What is the remainder when r(8) is divided by k?
6
Let t be 0/(0 - (1 + -2)). Let m be (t + 1 + -2)/((-18)/198). Suppose -5*n - 72 = -m*n. Calculate the remainder when 22 is divided by n.
10
Let u = -1085 + 1112. Calculate the remainder when 240 is divided by u.
24
Let s(b) = b**2 - 89*b + 1103. Suppose 175 = 4*j - n, -95 = -2*j - 2*n + 5. What is the remainder when s(12) is divided by j?
44
Let p(i) = 244*i + 1478. What is the remainder when 82 is divided by p(-6)?
12
Suppose -3*l = -3*y - 63, 0 = -2*l + 4*y - 6*y + 14. What is the remainder when 1371 is divided by l?
13
Suppose l - 1607 = -4*l - 3*x, 3 = -3*x. Let d = l - 299. Calculate the remainder when 38 is divided by d.
15
Let s(m) = 5142*m + 61741. Let k = -2 - -9. What is the remainder when s(-12) is divided by k?
2
Let s be 31/(-6)*-10 + 3/9. Suppose -b - 5*k + s + 401 = 0, b - 4*k = 480. What is the remainder when (-2)/11 + b/33 is divided by 3?
2
Suppose 11*c - 15 = 6*c. Suppose 3*h - c = 3. Suppose 2*a - d - 89 = -h*d, 46 = a - d. Calculate the remainder when 88 is divided by a.
43
Let v = -14077 - -14092. Suppose -2*f + 5*c + 423 = 0, -3*c - 1044 = -5*f - 4*c. What is the remainder when f is divided by v?
14
What is the remainder when (-33)/((-20790)/(-60)) + 3912/63 is divided by ((-2)/4)/((-1)/18)?
8
Suppose -38*g + 230859 + 233957 = 38*g. Calculate the remainder when g is divided by 23.
21
Let q = -105 - -239. Suppose 3*k + 5*m - 365 = 233, k - 200 = -2*m. Suppose 8*j = 556 - k. What is the remainder when q is divided by j?
44
Suppose -359 = -4*f - 71. Let q = f - 33. Let v(t) = 10*t + 150. What is the remainder when q is divided by v(-14)?
9
Suppose -a = 4*w - 165, 174 = a + 7*w - 3. What is the remainder when 311 is divided by a?
13
Let o(x) = -x**3 + 32*x**2 - 87*x + 1498. Calculate the remainder when o(29) is divided by 138.
118
Let h(v) = -50*v - 646. What is the remainder when 7936 is divided by h(-14)?
52
Calculate the remainder when 5488 is divided by 2/(-4) + (-665)/(-38) + -17 + 8.
0
Let x(k) = -3*k - 19. Let j be x(-8). Let r(d) = -d**2 + 12*d - 5. What is the remainder when r(j) is divided by 23?
7
Let w be (-66)/121 - 171372/(-66). What is the remainder when 175 is divided by ((-15)/4)/((-177)/w)?
10
Suppose 6*u - 7*u + 5 = 0. Suppose -u*o + 10 = 0, -8*x + 234 = -4*x - 5*o. Let a = -2378 - -2387. Calculate the remainder when x is divided by a.
7
Suppose -64 - 106 = -k. Suppose -204 = 3*i + 30. Calculate the remainder when k is divided by -9 - (4 + i - -8).
56
Let m(t) = t**3 - 3*t**2 - 5*t + 10. Let l be m(4). Suppose l*w - 10*w + 12 = 0. Calculate the remainder when 3 is divided by w.
0
Let r(n) = -n**3 - 56*n**2 - 29*n - 167. What is the remainder when r(-57) is divided by 37?
36
Let c = 283 + -280. Suppose 0 = c*f - 147 - 213. What is the remainder when f is divided by 25?
20
Let x be 238/(-6)*(304 + -9 - -5). Calculate the remainder when x/(-28) + (-2)/2 is divided by 25.
24
Let i = -3588 - -3592. Calculate the remainder when 507 is divided by i.
3
Let s(v) = 19*v**2 + 13*v - 8. Let z be s(4). Let u = -317 + z. Calculate the remainder when 743 is divided by u.
30
Suppose 2*t + 10 = 6. Let s be -1 + 5 + -2 - 49/1. Let q = t - s. Calculate the remainder when q is divided by 12.
9
Let o(h) = -h**3 + 6*h**2 + 2*h - 6. What is the remainder when o(5) is divided by 20 + 2*(-9)/(-6)?
6
Let n(m) = 2*m**2 + 4. Let q = 5965 + -5961. What is the remainder when n(3) is divided by q?
2
Let j = -15229 - -15272. Calculate the remainder when 6707 is divided by j.
42
Let k = 46 + -27. Let s = -26 + k. Calculate the remainder when 58 is divided by 4/(-14) + 2*(-71)/s.
18
Let z(f) = f**3 - 8*f**2 - 16*f + 9. Suppose 5*o + 13 = -3*d + 71, 2 = 2*d. What is the remainder when z(o) is divided by 25?
21
Let h(r) = -3*r**3 - 29*r**2 + 41*r + 3. Calculate the remainder when h(-11) is divided by 20.
16
Suppose 0 = -31*a + 113285 - 40590. What is the remainder when a is divided by 51?
50
Suppose 105*m - 47*m + 82*m = 2660. Calculate the remainder when 1669 is divided by m.
16
Let v(j) = 3*j**2 - 105*j + 412. Calculate the remainder when 46 is divided by v(4).
6
Suppose 3*f = -2*k + 81, 5*k = f - 4 - 6. Calculate the remainder when f is divided by (-5)/(-80)*166 + 3/(-8).
5
Suppose 0 = -2*w - 5*w - 10*w + 2771. What is the remainder when w is divided by 42?
37
Let x(d) = d**3 - 28*d**2 - 92*d + 128. What is the remainder when x(31) is divided by 77?
5
Let y be (-44)/(3/((-12)/8)). Suppose 0 = -3*d + y + 20. Suppose 2062 = 33*x - 149. What is the remainder when x is divided by d?
11
Let a = -249 - -735. Let d = a - 464. Calculate the remainder when 33 is divided by d.
11
Calculate the remainder when (7649 - -7) + 0 + (-17 - -8) is divided by 255.
252
Suppose 326*s = 329*s - 108. Suppose -n + 21 = -i + 2, 2*n - 35 = i. Calculate the remainder when (s/1)/1 - (91 + -86) is divided by n.
15
Calculate the remainder when 3/21*53823/33 is divided by 24.
17
Suppose 5*h = -2*h + 1225. Suppose -861 = -7*m - h. Suppose m = o - 5*v, 3*v = o + 2*o - 270. What is the remainder when o is divided by 45?
43
Suppose 5*a - 2*o = 2*a + 106, a - 5*o - 18 = 0. Suppose 64*j + a = 66*j. What is the remainder when j is divided by (-4 + 0)*55/(-20)?
8
Suppose -67*l + 72*l + 55 = 0. Let t(b) = -10*b - 21. Let n be t(l). Let i = 97 - n. What is the remainder when i is divided by 3?
2
Let n = 434 - 416. Suppose -3*d + 151 = -5*p, 3*p + 205 = 22*d - n*d. Calculate the remainder when d is divided by 15.
7
Let s be (1/5)/(48/(-80))*0. Let k(v) = -v**3 + 2*v**2 + 2*v + 145. Let h be k(s). Let l = h - 82. What is the remainder when l is divided by 34?
29
Let l(u) = u**3 + 16*u**2 - u - 9. Let q be l(-16). Suppose 9*a - 72 = q*a. Let c = -24 + a. What is the remainder when 57 is divided by c?
9
Suppose -4*d + 2*s - 81 = 3*s, d + 18 = -s. Suppose -12*g + 756 + 708 = 0. What is the remainder when g is divided by (-4 - (-8)/4)*d?
38
Let k(y) = 447*y + 1519. Calculate the remainder when k(-3) is divided by 18.
16
Let i = 7827 + -7189. Suppose 193 = 3*q - 5*b, 2*q - 2*b = -7*b + 162. What is the remainder when i is divided by q?
70
What is the remainder when -25 + 31 + (-606)/(-6) is divided by (-135)/(-6) - (-3)/(-6)?
19
Let v(b) = -b**2 + 609*b + 8091. What is the remainder when 2639 is divided by v(-13)?
4
Suppose -177 + 602 = 17*n. What is the remainder when 141 is divided by n?
16
Suppose -22 = -4*w - 42, -101 = -4*b - 3*w. What is the remainder when 492 is divided by b?
28
Calculate the remainder when ((-128142)/(-504))/(12/16) is divided by 98.
45
Let c = 91 - 87. Suppose -v + 36 = -j - c, j - 212 = -5*v. Calculate the rema