remainder when -2 + (12 + -89)/(-11) is divided by p?
1
Let p(b) = b**2 + 13*b + 17. Let l(t) = -t**3 - 8*t**2 - 14*t - 5. Let j be 87/(-15) - 2/10. Calculate the remainder when l(j) is divided by p(-12).
2
Let q(u) = u**2 + 4*u - 29. Let l be 11 - 8/(-3)*(-15)/20. Calculate the remainder when q(l) is divided by 47.
41
Suppose -k + 87 = -3*d, 6*d = 5*k + 7*d - 419. Calculate the remainder when k is divided by 17.
16
Let a = -46 + 45. Calculate the remainder when 109 is divided by 2871/77 + a + 5/7.
35
Suppose -g + 2 = 0, -6*b - 4*g = -b - 148. Let u = 3371 - 3363. What is the remainder when b is divided by u?
4
Let u = 33 - 22. Let s(i) = -2*i**3 - i**2 + 2*i + 4. What is the remainder when s(-3) is divided by u?
10
Let r = 2756 + -2740. Let n = 3 - 1. Suppose -n*k + 6 = -50. Calculate the remainder when k is divided by r.
12
Let b(g) = -g**2 - 8*g + 110. What is the remainder when 105 is divided by b(-12)?
43
Let k = 12 - 13. Let h be 62*(k - 4/(-8)). Let c = 32 - h. Calculate the remainder when c is divided by 16.
15
Suppose -6*a - 226 = -7*a. Suppose -2*x - s + 5*s + a = 0, -295 = -3*x - 5*s. Calculate the remainder when x is divided by 27.
24
Suppose p - 53 = -3*i, 82 + 15 = 2*p - 3*i. What is the remainder when p is divided by 20?
10
Let m(l) = 3 - 19*l - 9 - 6 + 3*l**2 + 6*l. What is the remainder when 52 is divided by m(6)?
16
Suppose 7*z + 2 = 9*z. What is the remainder when 22 is divided by (-70)/(-7) - z*-2?
10
Suppose 0 = -5*g + 8*g. Suppose 7 = -n + 5*i, g*i + i - 2 = 0. Calculate the remainder when 27 is divided by 3 + n - 1/(-1).
6
Suppose -d + 3*h = 3*d - 82, 0 = -h + 2. Suppose -4*w = o - 167, -2*o + 208 = 5*w - 0*o. What is the remainder when w is divided by d?
20
Let f = 60 + -43. What is the remainder when f is divided by 15?
2
Calculate the remainder when 5/(-10)*-52 + -4 is divided by 8 - 0*(-5)/(-10).
6
Let z(w) = -3*w**2 - 137*w + 103. Calculate the remainder when z(-36) is divided by 10.
7
Let r(i) = -i**3 - 8*i**2 - 3*i + 2. Let y be (9/(-6) + 0)*6. What is the remainder when r(y) is divided by 16?
14
Let o be (-12)/(-8)*16/6. What is the remainder when 637/14 - (-2)/o is divided by 12?
10
Let y(h) = 11*h - 107. What is the remainder when y(17) is divided by 21?
17
What is the remainder when 36 is divided by (-1)/10 + (-2904)/(-240)?
0
Let v be 13 + (-4*1)/2. Let l(p) = -24*p + 25*p + 2 - 2. What is the remainder when 32 is divided by l(v)?
10
Suppose 2*l + 17 = 595. Suppose -v + 17 = -l. Suppose w = 7*w - v. What is the remainder when w is divided by 9?
6
Let y be 1 + 2 + 4 + 3. Let l be (8/y)/(3/90). Let x = -13 + l. Calculate the remainder when 43 is divided by x.
10
Let q(p) = -7*p - 17. Let t(w) = 22*w + 50. Let g(r) = 7*q(r) + 2*t(r). What is the remainder when 52 is divided by g(-6)?
8
Suppose 0 - 20 = -4*j + 3*g, 4*j = 4*g + 24. Suppose t - j = -1. What is the remainder when (-222)/(-18)*3/t is divided by 10?
7
Suppose 0*w - 77 = -4*g + 5*w, 4*w = 5*g - 94. Let v = -175 - -352. Suppose -5*j = -83 - v. What is the remainder when j is divided by g?
16
Suppose d + 2*r = 5*r - 10, 4*r - 8 = 4*d. Let u = d + 4. Calculate the remainder when (-7 + 9)*(-22)/(-4) is divided by u.
5
Suppose 239 = 3*q + 2*r, 7*q - 3*q - 312 = 4*r. Calculate the remainder when q is divided by 5.
4
Let y = 10 - 3. Let z(j) = -3*j**2 + 18*j - 1. What is the remainder when z(3) is divided by y?
5
Suppose 132 = 4*j - 28. Suppose 3*y = -2*y + j. Suppose 5*a = -353 + 378. What is the remainder when y is divided by a?
3
Suppose 287 + 87 = 22*y. Calculate the remainder when 30 is divided by y.
13
Suppose -2*k + 1385 = 3*s, s + 68*k = 69*k + 470. Calculate the remainder when s is divided by 39.
36
Suppose -2*s + 158 = m, m + 146 = 2*m - s. Suppose -9 = -3*h, -3*a - h + m = 4*h. Calculate the remainder when a is divided by (-35)/(-3) - 1/(-3).
9
Suppose -64 - 6 = -4*k + 2*w, -5*k + 85 = -5*w. Let n = 39 + -25. Suppose 0 = 4*m - 3*u - n, 9 = 5*m - 2*m - 3*u. What is the remainder when k is divided by m?
3
Let s = 41 + -65. Let c = 60 + s. Let u = -27 + c. Calculate the remainder when 24 is divided by u.
6
Let q(m) = -m + 6. Let s be q(4). Suppose 0 = 5*j - 5*y - 40, s*y - 18 - 14 = -4*j. Suppose -26*u - 494 = -64*u. Calculate the remainder when u is divided by j.
5
Suppose a - 22 + 5 = 0. Suppose 0 = 10*v - 4*v - 36. Calculate the remainder when a is divided by v.
5
Suppose -2*q = -5*o + 4, 4*q + 0 - 2 = 5*o. Suppose h - 34 = -4*h + q*m, -3*h + 2*m = -20. What is the remainder when 15 is divided by h?
7
Let t(q) = q**2 - 8*q + 12. Let m be t(6). Suppose -5*j = -m*j - 420. What is the remainder when j is divided by 29?
26
Suppose 4*c = -j + 28 + 48, 176 = 3*j - c. What is the remainder when j is divided by 17?
9
Suppose -15 = 3*k - 15. What is the remainder when 65 is divided by 2 - -17 - (2 - k/2)?
14
Suppose -3*j = -354 + 1677. Calculate the remainder when 52 is divided by (1 - 13/7)/(21/j).
16
Suppose -5*w + 12 + 3 = 0. Suppose 5*t + w*k - 115 = 0, t + k = 10 + 11. What is the remainder when 127 is divided by t?
23
Let j(p) = -p**2 - 9*p - 5. Let d be j(-4). Suppose 0 = 3*w + d, -w = -10*q + 5*q + 55. What is the remainder when q is divided by 4?
2
What is the remainder when ((-264)/7)/((-50)/175) is divided by 34?
30
Let q = 33 - 22. Suppose -3*w - 1 = -16. Suppose -358 + 93 = -w*j. Calculate the remainder when j is divided by q.
9
Calculate the remainder when 870/27 + (-11)/(198/4) is divided by 11.
10
Let l = -18 + -4. Let a = l + 18. What is the remainder when 11 is divided by 8*(1 - (-1)/a)?
5
Let o be (-23)/(-23)*-1*32. Let l(f) = 8*f**2 + 3*f. Let u be l(3). Let v = o + u. Calculate the remainder when v is divided by 17.
15
Suppose 287 + 83 = 5*v. Calculate the remainder when v is divided by 4.
2
Let u(w) = 25*w + 0 - 9 + 11. What is the remainder when u(3) is divided by 20?
17
Let s be ((-27)/6 - 9/(-6))/(-1). Suppose n + 10 = s*n. Calculate the remainder when 14 is divided by n.
4
Let c be 1/(-10) + (-1616)/(-160). Suppose 5*y - 51 = -2*s + c*y, 1 = y. Calculate the remainder when s is divided by 9.
1
Suppose -9*o + 60 = 24. What is the remainder when 31 is divided by o?
3
Suppose -35*p = 306 - 4156. What is the remainder when p is divided by 20?
10
Let j(v) = -v**3 - 4*v**2 - 3*v - 4. Let t be j(-4). Suppose 0 = 3*f - 0*i - 4*i - 35, 0 = 4*i + t. Calculate the remainder when f is divided by 4.
1
Let n be (-16)/(-40) + (-36)/15. Calculate the remainder when 1*n*(-147)/42 is divided by 5.
2
Let p(k) = -3*k**3 + 16*k**2 - 4*k + 8. What is the remainder when 20 is divided by p(5)?
7
Suppose -3*r - 2*y = -10, -3*r + 20 = 2*y + 2*y. Suppose r = 5*s - 2*c - 2*c - 152, -2*s = 2*c - 68. Calculate the remainder when 127 is divided by s.
31
Suppose 2*q = -3*g + 29, 0*g + 18 = 4*q - 2*g. What is the remainder when 15 is divided by q?
1
Suppose 3*o + 15 = 0, -8*r - 2*o = -5*r - 56. Calculate the remainder when 1341 is divided by r.
21
Suppose o + 64 = 5*o. Suppose -2*d = 3*z - 0*d - 23, 5*d + 46 = 4*z. What is the remainder when o is divided by z?
7
Let p(w) = -146*w - 1. Let a be p(-4). Suppose 3*h = 4*c + a, 4*h + 3*c - 881 = -137. Suppose 2*k = -k + h. Calculate the remainder when k is divided by 16.
15
Let i(p) = -2*p**2 - 5 + 3*p + 2*p**2 + 3 + 8*p**3. What is the remainder when i(1) is divided by 4?
1
Let o(v) = 76*v + 1045. What is the remainder when 428 is divided by o(-11)?
10
What is the remainder when 550/75*(-5)/((-20)/108) is divided by 12?
6
Suppose -2*b + 4*b = 16. Let d(s) = s**2 + 8*s - 45. Calculate the remainder when b is divided by d(-12).
2
Let q = -74 + 71. Calculate the remainder when 29 is divided by 17/4 - q/(-12) - 0.
1
Suppose -b + 1 = -9. Let l be -5 + b - (0 - 1). What is the remainder when 13 + 5/(15/l) is divided by 4?
3
Let m(n) = 17*n - 11*n - 7*n + 13. Let p be m(10). Suppose -p*b + 0*b = -249. What is the remainder when b is divided by 28?
27
Let l(m) = 10*m**3 + 9*m**2 - m + 8. Calculate the remainder when l(3) is divided by 29.
8
Let j be 8/10*(-775)/(-10). Let d = -32 + j. Let c(t) = 89*t**3 - 2*t**2 - 5*t + 6. What is the remainder when c(1) is divided by d?
28
Let c = 3 - 9. Let v(q) = 2*q**2 + 12*q + 2. Let j be v(c). Suppose j*w - 4*r = 106, -5*w + 7*r - 4*r + 251 = 0. What is the remainder when w is divi