 (165/p)/(2/(-8)) is divided by 4?
3
Suppose 127 + 25 = 4*b. Let n be ((-8)/6)/((-2)/(-9)). Let r(w) = w**3 + 6*w**2 - 3*w - 8. What is the remainder when b is divided by r(n)?
8
Let z(d) = -2*d**3 - 6*d**2 - d. Let r be z(-3). Let n = r + 85. Let a = n + 1. Calculate the remainder when a is divided by 30.
29
Suppose 241*a - 102 = 235*a. What is the remainder when 202 is divided by a?
15
Let i = -4 + 6. Let g = -82 - -86. Suppose j + j - 7 = -5*q, -3*q + g*j - 1 = 0. What is the remainder when i is divided by q?
0
Let y(i) = -60*i + 14. What is the remainder when y(-1) is divided by 16?
10
What is the remainder when 670/4 + 16/(352/33) is divided by 57?
55
Let s(q) = q**2 - 11*q - 16. What is the remainder when s(13) is divided by 6?
4
Let q(w) = -2 + 12*w + 64*w + 2*w - 4*w. Let u = -16 - -17. What is the remainder when q(u) is divided by 25?
22
Let t(j) = j - 5. Let p be -2 + -1*-28*1. Suppose 0 = 2*n - f + 3, p = n + 5*f. Calculate the remainder when t(8) is divided by n.
0
Suppose 4*b = -4*x + 76, 2*b - 6*b = -3*x + 29. Suppose 17 = 2*c - x. What is the remainder when 77 is divided by c?
13
Let z be (-2)/9 + (-707)/(-63). Let x(a) = 3*a - 3. Calculate the remainder when 117 is divided by x(z).
27
Let o(a) be the third derivative of -a**6/120 + 3*a**5/20 - 7*a**4/24 - a**3/2 + 8*a**2. Calculate the remainder when o(8) is divided by 2 + 1 + -2 + 2.
2
Suppose -2*v + v + 4*c = -81, -358 = -4*v - c. Suppose -37*k + v = -36*k. What is the remainder when k is divided by 19?
13
Suppose -31*r + 26*r = -75. Let i be (-750)/(-18) - 4/6. Suppose 5*c - 99 = i. What is the remainder when c is divided by r?
13
Let y = 124 + -110. What is the remainder when 24 is divided by y?
10
Let x = 2 - 3. Calculate the remainder when 42 is divided by x/(-4) + (-43)/(-4).
9
Suppose 0 = 2*t + 8*t - 2880. Suppose 2*k + k = t. What is the remainder when k is divided by 33?
30
Suppose -4*d = 3*h + 10, -5*h - 6 - 3 = -d. Let y = 10 - d. What is the remainder when 32 is divided by y?
10
Let a(o) be the first derivative of o**3 + 7*o**2/2 + 15*o + 18. What is the remainder when a(-4) is divided by 9?
8
Suppose 2*s - j = 12, -3*s + 4*j = -j - 32. Let f be s/(-16) - (-11)/(-4). What is the remainder when 29 is divided by f - (-20 - (1 + -2))?
13
Suppose 0 = -6*h - 173 + 761. Suppose -13*n + h = -6*n. Let q(r) = r**2 - 8*r - 1. What is the remainder when n is divided by q(9)?
6
Suppose q + 4*q = -5. Suppose 1636 = -m + 1643. What is the remainder when 16 + (2 - 0) + q is divided by m?
3
Suppose 18 = -33*h + 32*h. Let n = h + 50. Calculate the remainder when n is divided by 7.
4
Suppose -3*t - 36 = -6*t + 3*d, 3*t - 4*d = 34. Calculate the remainder when 46 is divided by t.
4
Let l(m) = 7*m**3 + m**2 - 3*m + 1. Let g(c) = 2*c. What is the remainder when l(1) is divided by g(2)?
2
Let a = -289 - -334. Calculate the remainder when 176 is divided by a.
41
Let r(u) = 3*u**2 - 5*u - 8. Let t = -45 - -76. Calculate the remainder when r(-5) is divided by t.
30
Let j be (-3)/(-21) - 6657/(-49). Let k = j - 89. What is the remainder when k is divided by 12?
11
Let k(x) be the third derivative of -3*x**6/40 + x**5/30 + x**4/12 + x**3/6 - 15*x**2. Calculate the remainder when 33 is divided by k(-1).
3
Suppose 4*z - 8*z - 20 = -w, z = 5. What is the remainder when 115 is divided by w?
35
Calculate the remainder when 459 is divided by ((-5 - 4) + 6)/(6/(-44)).
19
Let b = 1975 + -1967. What is the remainder when 94 is divided by b?
6
Let y(t) = 2*t**3 - t**2 - 16*t + 31. Suppose -2*v + 257 = v + 2*g, -2*v + 165 = -5*g. Calculate the remainder when v is divided by y(2).
8
Suppose 0 = c + 2*s - 21, -4*c + 5*s + 24 = 5. What is the remainder when 14 is divided by c?
3
What is the remainder when 437 is divided by (-5)/(-60)*6 - 100/(-8)?
8
Suppose -5*a - 815 = -4*q, -15*q + 18*q + a = 616. Calculate the remainder when q is divided by 54.
43
Suppose -1148 = -41*n + 39*n. Calculate the remainder when n is divided by 72.
70
Suppose 77 = -6*h + 299. What is the remainder when 71 is divided by h?
34
Suppose 0 = -4*q + 15 + 37. Suppose 2*g = -h + 13 - 1, -5*g + 2*h = -12. What is the remainder when q is divided by g?
1
Suppose -79*g - 996 = -85*g. What is the remainder when g is divided by 34?
30
Let t(b) = 24*b**2 + 4*b. Calculate the remainder when 236 is divided by t(-1).
16
Let r = -32 - -43. Let z(n) = -n**2 + 12*n + 4. Let s be z(r). Let w = 34 - s. Calculate the remainder when 37 is divided by w.
18
Let u = 1092 - 992. What is the remainder when u is divided by 26?
22
Let r(q) = -3*q + 2. Let v be r(-2). Let i = v - 5. Suppose 0 = -i*a + 7*a - 48. What is the remainder when a is divided by 5?
2
Let f(d) = 3*d**2 - 47*d + 206. Let w be f(6). Suppose -k - 9 = -4*k. Suppose 52 = 5*m - j, 4*m - k*j = j + w. Calculate the remainder when 41 is divided by m.
8
Let l(i) = -i**3 - 7*i**2 - 25*i - 33. Let s be (2/6)/(1/9). Suppose s = 5*d - 22. What is the remainder when l(-4) is divided by d?
4
Suppose -3*b + 2*b = b. Let o = 25 + b. Suppose 4*a - 36 = -0*a. Calculate the remainder when o is divided by a.
7
Suppose 15*c + 624 = 21*c. What is the remainder when c is divided by 54?
50
Let m(g) = 3*g**2 + 7*g + 13. Calculate the remainder when 455 is divided by m(-4).
26
Suppose -3*s - 9 = 0, 79 - 238 = 4*v - 3*s. Let f = -16 - v. What is the remainder when 49 is divided by f?
23
Let v be (0 - 2 - 0)/(7/(-742)). Let a = 14 + 13. What is the remainder when ((-5)/5)/((-2)/v) is divided by a?
25
Suppose -5*j + 90 = -10. Let o be 96/(-72)*15/(-1). Suppose 2*m - o = j. Calculate the remainder when 77 is divided by m.
17
Let p(c) = -2*c**3 - 3*c**2 - 3*c - 4. Suppose -5*u - 19 + 9 = 0. What is the remainder when p(u) is divided by 3?
0
Suppose 4*a + 2*h - 4 = 4*h, -5*h = -5*a. Let t(w) = 6*w + 1. Suppose -y - 4*x + 56 = 0, 0*x + 87 = 2*y + 3*x. What is the remainder when y is divided by t(a)?
10
Suppose -4*d + 9*d - u - 1050 = 0, 618 = 3*d - 3*u. Let w = 61 - 18. What is the remainder when d is divided by w?
39
Let g(s) = -s + 2 - 6 + 2*s**3 + 3*s**3 - 4*s**2. Let m be g(4). Suppose 3*w + 257 = 5*z + 4*w, -4*w + m = 5*z. Calculate the remainder when z is divided by 27.
25
Suppose -48*f + 47*f + 3*s = -19, 185 = 5*f + 3*s. What is the remainder when 71 is divided by f?
3
Let n(g) = g**2 - 6*g + 2. Let x = 34 + -29. Let h be n(x). What is the remainder when 94 is divided by (h - (29 - 0))*-1?
30
Suppose -15*d = -2*h - 20*d + 151, -5*d - 257 = -4*h. Suppose -3*u + 401 = -202. What is the remainder when u is divided by h?
65
Let n = -28 + 85. Let t = 104 - n. Suppose 10*l + 58 = 218. Calculate the remainder when t is divided by l.
15
Let k(b) = 147*b - 58. Calculate the remainder when k(3) is divided by 67.
48
Suppose 2*s - 2*t = -46 - 52, 5*t - 198 = 4*s. Let o = 61 + s. Calculate the remainder when 55 is divided by o.
13
Suppose o + 5*o - 84 = 0. What is the remainder when (-39)/(-2)*(-4)/(-3) is divided by (-9)/(-6)*(0 + o/3)?
5
Suppose -39 = 2*m - 5*m. Let k be (5 + 5 + 17)/((-9)/(-6)). Let v(o) = o**2 - 15*o - 3. Calculate the remainder when v(k) is divided by m.
12
Calculate the remainder when 14/(-7)*((-43065)/(-10))/(-11) is divided by 56.
55
Let u = 141 - 73. What is the remainder when u is divided by 12?
8
Let q(a) = a**2 - 3*a + 4. Let c(b) = 140*b - 121. Calculate the remainder when c(1) is divided by q(4).
3
Suppose 0 = -2*t + 7 + 29. Let i be (72/5)/6*50. What is the remainder when t is divided by ((-8)/6)/((-16)/i)?
8
Let x(q) = q**3 + 3*q**2 - 6*q + 78. What is the remainder when (-30)/(-2) + 0 + -1 is divided by x(-6)?
2
Suppose 15 = -4*c - 5, -4*c = -4*r + 36. Suppose -327 = -8*n + r*n + 3*a, -n = 2*a - 79. Calculate the remainder when n is divided by 41.
40
Suppose -8*l + 7*l + 6 = 0. Let u be 16/(-12)*(-9)/l. Suppose 31 = 2*c + f, -32 = u*c - 4*c - 2*f. What is the remainder when c is divided by 9?
6
Let t(k) be the first derivative of k**2/2 + 19*k - 28. Calculate the remainder when 13 is divided by t(-11).
5
Suppose 0 = -7*a + 844 - 683. Calculate the remainder when 60 is divided by a.
14
Let o = -415 + 437. What is the remainder when 37 is divided by o?
15
Suppose 5*o - 73 - 50 = p, o = 5*p + 39. What is the remainder when o is divided by 5?
4
Let m = 597 + -589. What is the remainder whe