6) is divided by s.
1
Let f(z) = -z**3 - 4*z**2 + z - 4. Let m be f(-5). Suppose m = 6*b - 2*b. What is the remainder when 31 is divided by (-51)/(-6) + (-2)/b?
7
Suppose 0 = 78*v - 82*v + 192. Let n(c) = c**2 - c - 2. Suppose x - 4*x + o = 10, -2*x - 2*o - 4 = 0. Calculate the remainder when v is divided by n(x).
8
Suppose -v - 2*v + w = -18, -2*w = v - 6. Let i(p) = -2*p**2 + 5*p - 2. Let t be i(v). Let l = t + 73. Calculate the remainder when l is divided by 8.
5
Let l(v) = v**3 - 2*v**2 + 3*v - 3. Let q be l(2). Suppose -c + 5*y - 6*y = -8, 9 = q*y. Let f = 2 + 5. Calculate the remainder when f is divided by c.
2
Suppose -2*l + 120 = 2*u, -3*l + 2*u + 150 = -45. Let x(v) = 2*v - 4. What is the remainder when l is divided by x(10)?
15
Let r(w) = 5*w + 9. Let n(p) = -p + 20. What is the remainder when r(4) is divided by n(5)?
14
Let z be (1 - 0)*(19 + -22). Let n be -4 + z/6*-8. Suppose n = f + 3*f - 20. What is the remainder when f is divided by 3?
2
Let c = 45 - 43. Suppose r + 0*r - 11 = -c*n, -3*n = 3*r - 30. Calculate the remainder when r is divided by 7.
2
Let j = -9 - -14. Suppose j*w - 160 = -5*l, -4*w - 12 = -0*w. Calculate the remainder when 67 is divided by l.
32
Let t(w) = w**3 + 4*w**2 + w + 4. Let b = -18 - -47. Calculate the remainder when b is divided by t(-3).
9
Let m = 285 + -211. Suppose -5*w = -5*k - 115, k + 0*k - 2 = 0. Calculate the remainder when m is divided by w.
24
Let z = -3 - -6. Suppose -g + z = -7. What is the remainder when g is divided by 4?
2
Suppose 3*v + 4*l + 8 = -v, v = -4*l - 17. Suppose 0 = 5*z + v*g - 60, -2*g = -2*z - 2*z + 26. Calculate the remainder when z is divided by 5.
4
Let y(t) = 19*t**2 - 58 - 36*t - 6*t**2 + t**3 + 18*t**2. Calculate the remainder when y(-32) is divided by 24.
22
Let s(w) = 3*w**3 + 22*w**2 - w - 6. What is the remainder when s(-7) is divided by 14?
8
Let h(q) = 231*q - 649. Let l(s) = -s + 8. Calculate the remainder when h(3) is divided by l(0).
4
Let t(i) = -i**2 - 10*i - 9. Let k be t(-10). Let u = 6 + k. Calculate the remainder when 48 is divided by 1/(u/(-42 + 3)).
9
What is the remainder when ((-1)/3)/((-3)/108) is divided by 8?
4
Let f = -50 + 45. Let u(j) = -3*j + 11. What is the remainder when u(f) is divided by 5?
1
Let t(f) = -10*f**3 - f. What is the remainder when 62 is divided by t(-1)?
7
Suppose 5*m - 366 = -4*c, 5*m = 2*c - 35 - 163. Suppose 120 = 5*x - 0*x. What is the remainder when c is divided by x?
22
Let d(p) = -p**3 + 12*p**2 - 21*p + 15. Calculate the remainder when 275 is divided by d(9).
68
Suppose 285 = -27*d + 32*d - 2*x, d + 4*x - 79 = 0. What is the remainder when d is divided by 22?
15
Suppose -3*q = -s - 81, -2*q - 7*s + 68 = -3*s. Let l = q + -19. What is the remainder when 8/(-1)*(-1 + -1) is divided by l?
7
Suppose -82*s - 88*s - 25*s + 780 = 0. Let y = 16 - -15. What is the remainder when y is divided by s?
3
Let v(i) = -i. Let x(b) = -5*b + 9. Let g(w) = -3*v(w) + x(w). What is the remainder when g(-7) is divided by 13?
10
Let v = -171 - -170. Let u(n) be the third derivative of -3*n**6/40 + n**5/60 - n**4/12 - n**3/3 + n**2. Calculate the remainder when 37 is divided by u(v).
7
Let d = 25 - 19. Let s be d/39 + 14658/39. Suppose -4*i - 4*w + 469 = i, -3*w = 4*i - s. What is the remainder when i is divided by 33?
31
Suppose 3*i = 3*m + 6, 0*i - m = i - 2. Let z = 351 - 345. Calculate the remainder when z is divided by i.
0
Let q(g) = -2*g**2 - 25*g + 23. Calculate the remainder when 102 is divided by q(-12).
32
Let r = -219 + 227. Let o = -20 + 33. Suppose 4*v = 107 + o. Calculate the remainder when v is divided by r.
6
Let s(x) be the first derivative of -x**3/3 + 3*x**2 - 6*x + 8. Let o be s(4). Let q = o + 8. What is the remainder when 38 is divided by q?
8
Suppose -2*k - j = -54, -k + 5*j + 40 = -9. Calculate the remainder when 280/(6/3) - -2 is divided by k.
26
Let w(q) = 4*q + 18. Let g(p) = -3*p - 19. Let l(r) = -5*g(r) - 4*w(r). What is the remainder when 43 is divided by l(0)?
20
Let d(p) = p + 3. Let x be d(-1). Suppose 160 = x*v - 4*n + 3*n, -n - 2 = 0. Calculate the remainder when v is divided by 9.
7
Calculate the remainder when 14/(-4)*((-1340)/28 + 5) is divided by 7.
3
Suppose 0 = 5*a + 33 + 2. What is the remainder when 101 is divided by (a - -6)/((-1)/26)?
23
Let d(h) be the first derivative of h**4/4 - 17*h**3/3 + 17*h**2/2 + 12*h - 10. Calculate the remainder when d(16) is divided by 15.
13
Let j(v) be the second derivative of -5*v**2 + 0 - 5/6*v**3 - 2*v - 1/20*v**5 - 1/2*v**4. Calculate the remainder when 58 is divided by j(-6).
18
Suppose 13*q - 12*q = 46. Calculate the remainder when 86 is divided by ((-8)/(-2))/(-4 + q/11).
20
Suppose 3*p + 30 = d, -3*d + 2*d + 34 = p. What is the remainder when d is divided by (-4)/(-10) - (-58)/5?
9
Suppose f - 4*w + 452 = 6*f, 12 = 4*w. What is the remainder when 348 is divided by f?
84
What is the remainder when (-9)/(243/6) + (-497)/(-9) is divided by 19?
17
What is the remainder when (-2 + -1)*(-71 - -4) is divided by 6?
3
Suppose 86 - 76 = -k. Let u = 47 - k. Calculate the remainder when u is divided by 21.
15
Let l(o) = o**2 - 2*o + 4. Let k(j) = -2*j - 51. Let w be k(-21). Calculate the remainder when l(w) is divided by 15.
13
Let r = 435 + -379. What is the remainder when 216 is divided by r?
48
Let t = -110 + 43. Let c = -64 - t. Suppose 3*m = -10 - 5, 0 = -5*a + 3*m + 60. What is the remainder when a is divided by c?
0
Let d = -59 - -236. Suppose -4*x = -x - d. What is the remainder when x is divided by 12?
11
Let b be -5*(9/3)/(-3). Suppose a = -3*m + 11 + 3, 2*a + 16 = b*m. Calculate the remainder when 3 is divided by 0/a - (5 + -7).
1
Calculate the remainder when (-1107)/(-12)*(13/3 - -1) is divided by 13.
11
Suppose -2*l + 147 = 5*l. Let v = l + 50. Calculate the remainder when v is divided by 36.
35
Let z(s) = -66*s - 289. What is the remainder when z(-7) is divided by 87?
86
Suppose -14*l = 9*l - 276. What is the remainder when 45 is divided by l?
9
Suppose -94 = -4*f + 5*u, -2*u = 5*f - 43 - 58. Suppose 3*m + f = 147. What is the remainder when m is divided by 9?
6
Let t = -61 + 63. Calculate the remainder when 12 is divided by t.
0
Let a be -2 - (3 - (-11 + 2)). What is the remainder when 3140/70 + (-2)/a is divided by (-74)/(-6) - 3/9?
9
Suppose -i = -1 + 3, 5*i - 25 = -m. Let r = m - 6. What is the remainder when 111 is divided by r?
24
Suppose -3*d + x + 16 = -6, -2*d + 3*x = -17. Let v be 121/d + (-2)/7. Suppose -m = -0*m - v. Calculate the remainder when m is divided by 5.
2
Let n(w) = -5*w - 3. Let j = 63 - 55. Suppose -j*a - 48 = -12*a. Calculate the remainder when n(-5) is divided by a.
10
Suppose -7*a = -841 + 344. What is the remainder when a is divided by 12?
11
Suppose 217 = -2*a - 5*l + 952, a = -3*l + 369. Calculate the remainder when a is divided by 13.
9
Let a = 333 - 301. Suppose -2*l - 36 + 104 = 3*n, 0 = -4*n - l + 84. What is the remainder when a is divided by n?
12
Let c(r) = 6*r + 2. Let z be c(7). Suppose 3*x = 203 - z. Suppose x = -4*m + 141. What is the remainder when 41 is divided by m?
19
Suppose 6*j = 830 - 50. Calculate the remainder when j is divided by 41.
7
Suppose -h + 175 = 4*v + 2*h, 2*h - 217 = -5*v. Let i = -21 + v. Calculate the remainder when i is divided by (24/(-2))/(-54 - -52).
4
Let j be 457/9 - 12/(-54). Let m = 80 - j. Let s = -48 - -54. Calculate the remainder when m is divided by s.
5
Suppose 0 = -2*d - d + 84. Suppose d = z - 5*l, -4*z + z - 4*l = -27. Suppose -16*x = -z*x - 33. What is the remainder when x is divided by 2?
1
Suppose -555 = -4*x + 601. Calculate the remainder when x is divided by 29.
28
Let f be ((-20)/(-5))/((-4)/14). Suppose -4*t - 20 = -5*t. Let k = t + f. Calculate the remainder when 9 is divided by k.
3
Suppose 3*k + 30 = 3*o + 6, -o = 4. Let x = k - -17. Calculate the remainder when 74 is divided by 828/45 + 3/x.
17
Suppose -3*k + 7*b - 2*b = -20, -23 = -5*k - 2*b. Suppose k*w - 176 = -2*v, 3*v + w - 4*w = 243. What is the remainder when v is divided by 14?
13
Suppose -3*l + 33 = -0*l. Let i(q) = 13*q + 1. Let v be i(3). Let k = v - 33. Calculate the remainder when l is divided by k.
4
Let l(o) = -7*o + 3. Calculate the remainder when 84 is divided by l(-3).
12
Suppose 4*h + 5 + 3 = 0. 