- 327, 2*i + 5*b = 535. Calculate the remainder when 276 is divided by i.
1
Let q(d) be the third derivative of 10*d**2 + 0*d + 20/3*d**3 + 0 + 1/60*d**5 - 1/24*d**4. Calculate the remainder when q(0) is divided by 7.
5
Suppose -8*l = 3623 - 6159. What is the remainder when l is divided by 47?
35
Let q = 17644 + -17519. Calculate the remainder when 397 is divided by q.
22
What is the remainder when 15/(-20)*20976/(-36) is divided by 143?
8
Let g(j) = 3*j**3 + 216*j**2 - 220*j - 45. Suppose 85 = 4*h - 3*h + 5*w, 4*h - 445 = w. Calculate the remainder when h is divided by g(-73).
26
Let w = 17 + 4. Let y = 705941 - 705630. Calculate the remainder when y is divided by w.
17
Suppose -10*m + 3*m - 14 = 0. Let w be 1*((-87)/18 - m/(-12)). Let y(p) = p + 19. Calculate the remainder when y(w) is divided by 8.
6
Let s = -2 - -9. Suppose 358*z - 48316 = -516*z - 154*z. Calculate the remainder when z is divided by s.
5
Let c(p) = p**3 + 10*p**2 + 5*p - 3. Let j be 55/(-8) - (-5)/(-40). Let b be c(j). Suppose 341 = 9*x - b. What is the remainder when x is divided by 17?
16
Let s(q) = -10*q - 5. Let i be s(-1). Calculate the remainder when 90 is divided by 3 - i - (-4 + 1) - -32.
24
Suppose 6*x - 15 = 4*x + 3*m, -2*m + 16 = 3*x. Let r be (-1)/(-2) + x/4 + -1. Calculate the remainder when 7 is divided by (r + 3)*(-3)/(-6).
1
Let m(h) = 4*h**3 - 6*h**2 - 6*h. Let s be m(-5). Let k = -181 - s. Suppose -k = -4*l + 121. What is the remainder when l is divided by 24?
20
Suppose -4*d + 9 + 17 = -2. Calculate the remainder when 388 is divided by d.
3
Suppose 0 = -335*z + 334*z. Calculate the remainder when 116 is divided by 18 - (3 - 3) - (z - 2).
16
Let x(j) = 14*j + 134. Let c be x(6). Let i = -141 + c. Let h(v) = 10*v. What is the remainder when i is divided by h(4)?
37
Let z = 262 + -387. Let d = 182 + z. Calculate the remainder when 397 is divided by d.
55
Let c(q) = -q - 3. Let w be c(-7). Let s(o) be the first derivative of o**3 - 7*o**2/2 + 7*o - 48. What is the remainder when 52 is divided by s(w)?
25
Let l be (40/(-100))/((-2)/5090). Suppose 22*v = 1556 + l. Calculate the remainder when v is divided by 17.
15
Let m be 6/((-5)/(10/3)). Let r(h) be the second derivative of h**4/2 - h**3/2 - h**2/2 + 30*h. Calculate the remainder when r(m) is divided by 36.
35
Let l be ((-4)/(-2))/(-1 - -2). Suppose 43 = -2*i + 95. Calculate the remainder when i is divided by (l + 4)*2 - 2.
6
Suppose -19*v - 257*v + 7560 = 1764. What is the remainder when 128 is divided by v?
2
Let d(i) = 15*i**3 + i**2 - 5*i + 2. Let c be d(1). Suppose -r + 4*f + 2 = 0, -r - 11 = 2*f - c. Calculate the remainder when 8 is divided by r.
0
Let m(j) = j**2 - 11*j - 8. Let l = -43 + 43. Suppose l = 12*t - 116 - 28. Calculate the remainder when 15 is divided by m(t).
3
Suppose 4*r = 8 + 8. Suppose -4*y = 0, r*p - 247 = 4*y - 75. Suppose -2*x = 3*n - 49, -51 = -2*x + 3*n - 8*n. Calculate the remainder when p is divided by x.
20
Let f(l) be the third derivative of -5/24*l**4 + 0*l + 6*l**3 - 20*l**2 + 0. What is the remainder when 61 is divided by f(4)?
13
Suppose 0 = 4*o + z - 161, -z - 47 = -2*o + 20. What is the remainder when o is divided by (-3)/(-12) + (-238)/(-8)?
8
Calculate the remainder when (-7 + 1)*-43*22/33 is divided by (-1)/(3 + 1 + -1)*-21.
4
Suppose -4*h + 5*j + 69 = -42, -j + 5 = 0. Calculate the remainder when h is divided by 12.
10
Suppose 28 = 4*m - 3*m. Let z be -2 + -1 + 252/4. Calculate the remainder when m is divided by (z/(-16))/((-6)/16).
8
Let o(c) = 2*c**2 - c + 20. Suppose 13*l = 7*l. What is the remainder when 139 is divided by o(l)?
19
Let z be (-3)/12 + (-42884)/(-16). What is the remainder when z/12 - (-10)/15 is divided by 25?
24
Suppose 3*l = 3*k + 63, -82*k + 52 = 2*l - 85*k. Suppose 0*i + 387 = 3*i. What is the remainder when i is divided by l?
8
Suppose 270 = 236*u - 218*u. Calculate the remainder when 987 is divided by u.
12
Calculate the remainder when 13133 is divided by (0 + 2 + -7 - -7)/(8/284).
69
Suppose v - 33 = -3*g + 43, -5*v + 68 = 3*g. Calculate the remainder when 201 is divided by g.
19
Let a = 56 + -54. Suppose -a*o = -114 - 46. Let d = o + -48. What is the remainder when d is divided by 18?
14
Suppose -5*y + 59 = -p, 8*y + 3*p = 33*y - 267. What is the remainder when 33/(-3*(-2)/4) is divided by y?
4
What is the remainder when -1332*((-12)/16 - -2)/(-1) is divided by 168?
153
Let v(u) = 15*u + 41. Let n be v(0). Suppose -n*h + 319 = -30*h. Calculate the remainder when (-2)/(-2)*(112 + 1) is divided by h.
26
Suppose 300 = 73*w - 941. What is the remainder when 169 is divided by w?
16
Suppose 5*z - 5*w = 1237 - 572, -5*w = 0. Calculate the remainder when 418 is divided by z.
19
Suppose -485 + 145 = 17*b. Let u(j) = -30*j**2 - j**3 - 27 + 9*j**2 - 12*j - 10*j. What is the remainder when 51 is divided by u(b)?
12
Suppose -18 = 289*y - 286*y, 0 = 8*i - 3*y - 4162. Let q = 57 + -17. Calculate the remainder when i is divided by q.
38
Let r = -25 - -63. Suppose 182*k - 186*k + 748 = 0. What is the remainder when k is divided by r?
35
Let r = 26 + -26. Suppose 0 = 4*g - 3*o - 32, o = -r*g - 5*g + 59. Suppose -8*u + 21 = -g. Calculate the remainder when 12 is divided by u.
0
Let p = -28089 - -28287. What is the remainder when p is divided by 72?
54
Suppose -4*q - 3*q = 378. Let v be 16/24*q/(-4). Calculate the remainder when 72 is divided by (114/v)/((-8)/(-12)).
15
Let f(u) be the third derivative of u**4/8 + 11*u**3/3 + 66*u**2. What is the remainder when 277 is divided by f(6)?
37
Let v(u) = -u**3 + 20*u**2 + 52*u - 3. Let m be v(22). Suppose m + 282 = 13*o. Calculate the remainder when 111 is divided by o.
6
Suppose 2*o - 30 = -24. Suppose -j = 4, -3*i = -o*j + 14 - 209. What is the remainder when i is divided by 21?
19
Let k = 28755 + -27312. What is the remainder when k is divided by 33?
24
Suppose -2*q - 259 - 705 = 0. Let i = 493 + q. Suppose -150 = -4*s - s. What is the remainder when s is divided by i?
8
Let l = 7900 + -7819. Calculate the remainder when 217 is divided by l.
55
Let q(d) = 5*d**2 - 13*d - 33. Let v(r) = 4*r**2 - 14*r - 32. Let i(t) = 2*q(t) - 3*v(t). What is the remainder when 16 is divided by i(9)?
4
Suppose 4*l - 773 = -u, u + 6 = -l + 203. What is the remainder when l is divided by 61?
9
Let w(p) = p**2 + p. Let q(b) = b**3 - 2*b**2 - 5*b + 1. Let j(y) = -q(y) + 6*w(y). What is the remainder when j(9) is divided by (-114)/(-14) - 7/49?
1
Suppose -p = -8, 319*p + 660 = x + 323*p. What is the remainder when 655 is divided by x?
27
Calculate the remainder when (-19872)/(54/6)*-4 - 13 is divided by 4408.
3
Let f(c) = -4*c**2 + 28*c + 3. Let o be f(6). Suppose -7*j = -3*h - 3*j + 6, 2*h - o = -5*j. What is the remainder when 17 is divided by h?
5
What is the remainder when 4804 is divided by (2 - 6)/(((-51)/9 + 6)*-2)?
4
Suppose 231*d = 1591753 + 560936. Calculate the remainder when d is divided by 74.
69
Let g(q) = -2*q**3 - 2*q**2 - 5*q + 5. Let l be g(5). Let z = 327 + l. What is the remainder when 42 is divided by z?
0
Suppose r - 561 = -2*r. Suppose -977 = -25*h + 198. What is the remainder when r is divided by h?
46
Let f(l) = 8*l + 369. Let o be f(-43). Suppose 22*i - o*i = -396. Calculate the remainder when i is divided by 14.
6
Let g(y) = -18*y + 16. Let n be g(-6). Suppose 1094 + n = 14*h. Calculate the remainder when h is divided by 33.
21
Suppose 3*q - j = 7, -q + 6*q - j - 13 = 0. Let c be (432/18)/(q - 1). Let d = c - 3. Calculate the remainder when d is divided by 5.
4
Let b be (-4)/((-24)/62) + (-4)/12. What is the remainder when 16*-10*(-4)/b is divided by (-34)/(-6)*(-3 + 6)?
13
Suppose 5*i - 5 = -0*i. Let g(f) = f**2 + 440*f - 7729. Calculate the remainder when g(17) is divided by i.
0
Suppose 13583 + 5264 - 4447 = 72*m. What is the remainder when 1985 is divided by m?
185
Let z = 76352 - 76319. Suppose 4*y + 5*u = 13, 5*u + 15 = -0. What is the remainder when z is divided by y?
5
Suppose -n + 3*b + 375 = 0, -5*b - 225 = 4*n - 1776. What is the remainder when n is divided by 93?
12
Let r(w) = -w**2 + 15*w + 37. Let k be r(28). Let c = -248 - k. Calculate the remainder when c is divided by 44.
35
Let b be (-20)/10*(1119/(-6) - 1). Suppose 370*a + 1885 = b*a. What is the remainder when a is divided by 42?
41