at is the remainder when ((-354)/(0 - -3))/(-1) is divided by 24*8/(7 + 9)?
10
Suppose o - 5 = 0, 0*y = -y - 3*o + 18. Let i = -29 + 27. Calculate the remainder when i/2 + y - -18 is divided by 11.
9
Suppose -14 = -0*o + o. Let l = o + 16. Suppose -40 = -5*m - l*j, -2*m = -4*m + 3*j - 3. What is the remainder when 10 is divided by m?
4
Let z be (-35)/3 + 16/24. What is the remainder when ((-388)/6)/(z/33) is divided by 39?
38
Calculate the remainder when 87 is divided by (-51)/(-34)*44/3.
21
Suppose 5*x - 4*o - 771 = 0, 4*x - 5*o + 625 = 8*x. Calculate the remainder when x is divided by 27.
20
Let y(h) = -2*h**3 - h**2 + 3*h + 2. Let p be y(-2). Let q(n) = 3*n + 0*n + 8 + 1. What is the remainder when q(p) is divided by 17?
16
Let v(l) = l**3 - 8*l**2 - 9*l - 24. Let j be v(11). Suppose u = 7*u - j. What is the remainder when u is divided by 9?
4
Let b(j) = 2*j**2 - 44*j - 37. What is the remainder when 175 is divided by b(23)?
4
Let b(z) = -16*z**2 - 5*z + 21. Let c(i) = -11*i**2 - 3*i + 14. Let d(a) = -5*b(a) + 7*c(a). Calculate the remainder when d(4) is divided by 12.
9
Suppose -2*f - 10*f = -1392. Calculate the remainder when f is divided by 13.
12
Calculate the remainder when 103 + (-7)/(35/15) - 2 is divided by 10.
8
Calculate the remainder when 27 is divided by (10/(-60))/((-2)/204).
10
Suppose -53 = -11*n + 10*n. Let w = n + -34. What is the remainder when 92 is divided by w?
16
Suppose 3*a = 4*a - 2. What is the remainder when 3 is divided by a?
1
Suppose -84*z + 76*z + 96 = 0. What is the remainder when 106 is divided by z?
10
Let r(z) = z + 1. Let d be r(1). Suppose d*h = -3*h + 110. Let n = h + -11. Calculate the remainder when 18 is divided by n.
7
Let z = -367 + 417. What is the remainder when 647 is divided by z?
47
Let l(b) = b + 10. Let i = -8 - -20. What is the remainder when i is divided by l(-6)?
0
Let y = -201 + -360. Calculate the remainder when 4/14 + y/(-21) is divided by 15.
12
Let v = 459 + -439. Suppose 33 = 5*z - 2. Calculate the remainder when v is divided by z.
6
Let z(u) be the first derivative of u**4/2 - u**3 - u**2/2 + 3*u - 22. Calculate the remainder when z(4) is divided by 27.
25
Calculate the remainder when 38 is divided by 5/((-135)/6) - (-460)/207.
0
Suppose -3*r = x - 818, -4*r - 7*x + 11*x = -1096. What is the remainder when r is divided by 133?
7
Suppose 0 = -2*m + o + 59, -3*m + 23 = -5*o - 83. Suppose 10*a = a + m. Calculate the remainder when 15 is divided by a.
0
Let w = -124 - -142. What is the remainder when 35 is divided by w?
17
Let i(v) = -v**2 - v + 41. Let y(d) = d**2 - 14*d + 22. Let k = -18 + 32. What is the remainder when i(0) is divided by y(k)?
19
Let j = -38 - -70. Suppose 12 + j = 4*b. Suppose c + b - 47 = 0. Calculate the remainder when c is divided by 10.
6
Let f = -17 - -13. Let y be -9*(29 + -1)/f. Let a = y - 42. Calculate the remainder when a is divided by 11.
10
Suppose -17*k = -12*k - 15. Suppose 4*r - 2*w = 22, -2*w = r - k - 5. What is the remainder when 94 is divided by r?
4
Let z be (-34)/(-8)*130 - 1/2. What is the remainder when (-3)/2*z/(-18) is divided by 16?
14
Suppose 37*y - 84 = 33*y. Suppose 4*q + q = 265. What is the remainder when q is divided by y?
11
Let m(x) = -7*x + 6. Let s be m(3). Let n = -22 - -55. What is the remainder when n is divided by 0 + -2 - 3/(s/70)?
9
Suppose -k - 3*k + 8 = 0. Let w = -6 + k. Let s(v) = -13*v - 6. What is the remainder when s(w) is divided by 12?
10
What is the remainder when 232 is divided by (-11 + -1)*(20/(-8) - -1)?
16
Suppose -43*u + 1485 = -28*u. What is the remainder when 691 is divided by u?
97
Suppose -4*h = 2*a + 144, -3*h + 345 = -5*a + 2*h. Let g = -61 - a. Calculate the remainder when 14 is divided by g.
5
Suppose 0 = -9*t - 4*t + 39. Suppose t = -v, 0*w - v = 3*w - 9. What is the remainder when 14 is divided by w?
2
Let c(r) = -23*r. Suppose 3 = 5*x + 8. Calculate the remainder when c(x) is divided by 12.
11
Suppose x + 2 = -x + 5*g, -4*x = 5*g - 26. Let h(f) = -4*f**2 + 2*f - 4*f**3 + 7*f**3 + 0*f**3 + x - 2*f**3. What is the remainder when 3 is divided by h(3)?
0
Let h(a) = a**2 + 5*a + 5. Let v be h(-5). Suppose -5*m + 4 + 16 = -v*k, 0 = 4*k - m + 19. What is the remainder when (-1)/1 + (-370)/k is divided by 25?
23
Let s be 0/(4 + (-9)/3). What is the remainder when 115 is divided by (-5 - 8)/(-1 + s)?
11
Suppose 0 = 47*l + 86*l - 8512. Calculate the remainder when l is divided by 50.
14
Let o(s) = 15*s**2 - 3*s + 2. Calculate the remainder when 223 is divided by o(1).
13
Let b = 1 + 12. Let i = 1 + b. Suppose -431 + 343 = -11*j. Calculate the remainder when i is divided by j.
6
Suppose -3*b - 146 = 4*z, 3*z + b = -99 - 13. Let k = z + 70. What is the remainder when 190 is divided by k?
30
Suppose 0 = 2*t + 4*l - 36, 3*t + 14 = -5*l + 63. What is the remainder when (1 + -2)*46/(-2) is divided by t?
7
Suppose 0 = 4*o - 3*j - 59, 2*o + j = -j + 12. Suppose 40 + 642 = o*k. What is the remainder when k is divided by 8?
6
Let u(w) = -w**3 - 9*w**2 + 2*w + 7. Calculate the remainder when u(-12) is divided by 32.
31
Let j be -2*((-2)/(-8))/(3/(-18)). Let g = 6 + -1. Suppose -j*n = -f - 4*n + 8, 20 = g*n. What is the remainder when f is divided by 2?
0
Suppose 9*v - 10146 + 183 = 0. Calculate the remainder when v is divided by 15.
12
Let y = 19 - -5. Suppose 0*x - 3*s - 7 = x, -35 = -3*x + 5*s. What is the remainder when y is divided by x?
4
Suppose -2*l + 165 = -51. Suppose -k + 4*k - l = 0. What is the remainder when 105 is divided by k?
33
Let f be (-14)/6 + (-1)/(-3). Let h(i) = -3*i + 2. What is the remainder when (-2)/(0 + f/41) is divided by h(-4)?
13
Suppose -3*u + 11 = -2*k, -4*k + 5*u - 1 - 16 = 0. Suppose v = 3*b - 132, b + 2*v + k - 39 = 0. Calculate the remainder when 213 is divided by b.
41
Let x(s) = 20*s + 3. Calculate the remainder when 248 is divided by x(3).
59
Calculate the remainder when (-4)/20 + (-1116)/(-5) + -1 is divided by 8.
6
Suppose -5*a + 9*a = 20. Suppose 2*l - a*m = 28, -l - 3*m + 24 = -8*m. Calculate the remainder when (10/(-4))/(2/(-4)) is divided by l.
1
What is the remainder when 49 is divided by 7 - 10 - 1*-38?
14
Let k = -4 + 9. Suppose 25 = 5*v, -k*x - v - 40 = v. Let q = 25 + x. What is the remainder when q is divided by 9?
6
Let z be 0*(-3 - (-21)/6) - -3. Suppose 5*i = 5*d - 135, -3*d + z*i + 57 = -d. What is the remainder when 46 is divided by d?
22
Suppose 2*y = -3*y + 15. Suppose -y*p - 3*o = -27, -3*o + 36 = 4*p - 8*o. Suppose -p = -b - 4. Calculate the remainder when 14 is divided by b.
4
Let c(s) = 6*s + 2*s - 6*s + s. Calculate the remainder when 33 is divided by c(2).
3
Let n(v) = 6*v + 39. Let r(f) = f + 4. Let x be r(14). Let j = x - 12. Calculate the remainder when n(-3) is divided by j.
3
Suppose 2*g = 2, 19*v - 20*v = -5*g - 14. Calculate the remainder when 206 is divided by v.
16
Suppose 8*s + s = -12*s + 147. Let a be (6/(-5))/((-6)/260). Suppose 0 = -4*o + a - 4. What is the remainder when o is divided by s?
5
Calculate the remainder when (20/(-210)*-7)/((-2)/(-129)) is divided by 14.
1
Let s(b) = 9*b + 10. Let o(g) = -17*g - 21. Let x(w) = -6*o(w) - 11*s(w). What is the remainder when x(9) is divided by 16?
11
Let w(m) = m**2 - m - 15. Suppose 5*l = -0*l. Suppose 1 + 12 = 4*p + 5*a, l = 3*a + 9. What is the remainder when 105 is divided by w(p)?
24
Let y be (3 - 61*-2)/1. Let f = y - 76. Suppose -g + 4 + 21 = 0. Calculate the remainder when f is divided by g.
24
Suppose 15001 - 70826 = -29*r. Calculate the remainder when r is divided by 18.
17
Suppose -k - 28 = -w + 2*k, 4*k = -20. Suppose 3*c - 192 = c - 3*v, -5*c - v + 454 = 0. Calculate the remainder when c is divided by w.
12
Let v = -10 + 15. What is the remainder when 17 is divided by v?
2
Suppose -5*k + 2*q = -3*q - 2480, 4*q = -3*k + 1516. What is the remainder when k is divided by 63?
59
Let k = -34 - -41. Suppose -m = -k - 22. Suppose 2*o + 2*o = 32. Calculate the remainder when m is divided by o.
5
Let j = 254 - 170. Let l = 92 - j. What is the remainder when 30 is divided by l?
6
Let k(m) = -6*m. Let a(j) = -31*j - 1245. Calculate the remainder when a(-42) is divided by k(-2).
9
Let z(t) = 789*t + 114. Calculate the remainder when z(1) is divided by 113.
112
Suppose 102 - 4 = 7*r. Calculate 