r when 10/(-6)*((-57)/3 - j) is divided by 9?
8
Suppose -5*z + 2035 = -2*u, -u + 75 = -z + 482. Calculate the remainder when z is divided by 132.
11
Suppose -i + 4 = 0, 32 = -3*c + 4*i - 29. Let l be (c/(-45))/(1/12). Suppose 2*b = l - 0, 0 = 2*d + 5*b - 36. Calculate the remainder when 35 is divided by d.
9
Suppose 0 = 36*a - 31*a - 1035. What is the remainder when a is divided by 53?
48
Let q = 345 - 340. What is the remainder when 19 is divided by q?
4
Suppose -14 = -11*c + 30. Calculate the remainder when 74 is divided by c.
2
Let w = -20 - -24. Suppose 8 = w*p - 40. Suppose -59 = -r - 5*f, -20 = -r + 4*f + 39. What is the remainder when r is divided by p?
11
Suppose -4 = -2*s + 16. Let l = s - 3. Let y(a) = 147*a**2 - 5*a + 20. What is the remainder when y(0) is divided by l?
6
Let p(g) = -18*g - 3. Let c be p(-1). Suppose 20 = 5*t - c. Calculate the remainder when 27 is divided by t.
6
Let p(r) = -r**3 - 9*r**2 + 1. Let z be p(-9). Suppose -35 = -4*u - w, z + 3 = -4*w. Suppose 0 = -3*v - 2*v + 120. What is the remainder when v is divided by u?
6
Let p = 361 - 309. Calculate the remainder when 197 is divided by p.
41
Let j(t) = 16*t**2 - 3*t + 3. Let g(i) = i + 9. Let r be g(-7). Suppose 5*n = -20, -5*v - 2*n = -6*n - 121. What is the remainder when j(r) is divided by v?
19
Let l be ((-126)/24)/((-2)/(-8)). Let p = 6 - l. Let j = -6 - -21. What is the remainder when p is divided by j?
12
Suppose 8*g - 4*g = 3*u + 39, -5*u = 4*g + 1. Suppose -g = 4*i - 6*i. Suppose -2*w - 3 = -7, i*h = 3*w + 33. What is the remainder when h is divided by 5?
3
Calculate the remainder when 1 - 120/136 - 5948/(-17) is divided by 85.
10
Let f = -7 - -20. Suppose 4*x + 5*l - 16 = 0, -4*x + 0*l = -l - 16. Suppose x = y - 0. Calculate the remainder when f is divided by y.
1
Suppose 2*v - 5*n = -162, -4*n + 250 = 7*v - 10*v. Let q = v - -116. Let r(a) = 88*a**3 + 2*a**2 - a. What is the remainder when r(1) is divided by q?
29
Suppose -10*i = -11*i + t + 19, t + 76 = 4*i. Calculate the remainder when 46 is divided by i.
8
Let g(h) = h - h - 3*h + 12 + 4*h. Let n be g(-9). Suppose -n*t = 2*t + a - 47, 0 = -t + a + 13. What is the remainder when 27 is divided by t?
7
Suppose -2*u + 16 = -0*u. Let p(t) = -t**3 + 28*t**2 - 24*t - 44. Suppose 70*g - 74*g + 108 = 0. What is the remainder when p(g) is divided by u?
5
Let j = -599 + 648. Calculate the remainder when 283 is divided by j.
38
Let r(u) = 4*u - 6. Let j be r(3). Suppose -4*g + 86 + j = 0. What is the remainder when g is divided by 56/6*(-6)/(-4)?
9
Let p be (-90)/(-5)*4/(-3). Suppose -60 = -2*a - a. What is the remainder when ((-9)/(-6))/(p/(-1264)) is divided by a?
19
Suppose 0 = 36*x - 37*x + 33. Calculate the remainder when x is divided by 13.
7
Suppose 0*y = 3*y. Let v be (-1 - y)*-2 + 0. Calculate the remainder when v + (19 + 1 - 3) is divided by 5.
4
Suppose 0 = 5*s - 5*k - 10, -5*s - 5*k = 10. Suppose 0*p + 5*p - 25 = s. Calculate the remainder when 9 is divided by p.
4
Suppose 4*s = r - 19, -33*r + 32*r - 4*s + 3 = 0. Calculate the remainder when 15 is divided by r.
4
Suppose -19*l + 8 = -15*l. Let b(z) = -3*z - 4 + 6 + 4*z**l - 1. What is the remainder when 54 is divided by b(2)?
10
Suppose 3*z + 2*y = 5*y - 24, z + 5*y = -32. What is the remainder when (4/z + 1)/((-4)/(-402)) is divided by 17?
16
Suppose -4*n + 5*n = 9. Let k be 4/(12/n) + 316. What is the remainder when k/55 + (-2)/(-10) is divided by 3?
0
Let v(p) = 44*p**2 - 3*p + 1. Let i be v(2). Suppose -o = 1, -2*o + i = 3*d + o. Calculate the remainder when d is divided by 12.
10
Let x(m) = -5*m + 194. Calculate the remainder when x(-12) is divided by 64.
62
Let f = 115 + -112. Suppose 0*i - 852 = -4*i + 4*v, -f*i + 5*v = -647. Calculate the remainder when i is divided by 15.
14
Suppose 5*w + 15 = 4*t - 69, -4*t - 3*w = -116. What is the remainder when 2/(-8) + 201/4 is divided by t?
24
Let h = 97 + 254. What is the remainder when h is divided by 16?
15
Suppose -5*z + 43 = 2*w, 3*z - 7*w = -2*w + 32. Let f be 6*(15/(-2))/(-5). Let i = f - 3. What is the remainder when z is divided by i?
3
Let c = -665 + 934. Calculate the remainder when c is divided by 45.
44
Let q(m) = 2*m - 5. Let j be q(5). Suppose 6*i = -5*k + 3*i + 133, -128 = -j*k + 2*i. What is the remainder when k is divided by 3?
2
Suppose 79*i = 73*i + 228. What is the remainder when 89 is divided by i?
13
Let s(z) = -11*z - 229. Calculate the remainder when 18 is divided by s(-22).
5
Suppose -17*k = k - 666. What is the remainder when k is divided by 10?
7
Let j be (-8)/(-16)*(105 - -1). Suppose -j + 215 = 9*t. Calculate the remainder when 70 is divided by t.
16
Let v = 4 - 6. Let l be (0 - 1)/(v/4). Suppose 2*b = -0*b - 3*o + 24, -l*b + 36 = -3*o. Calculate the remainder when b is divided by 8.
7
Suppose -33*i + 34*i + 2 = 0. Calculate the remainder when 4 is divided by (2 - i)*1 - (-7 - -8).
1
Suppose 2*l - 2*a = 94 - 30, 0 = a - 2. Calculate the remainder when 158 is divided by l.
22
Suppose -23*m = -22*m - 51. Suppose -4*v = -m - 81. What is the remainder when 62 is divided by v?
29
Let h = -275 - -132. Let p = -75 - h. What is the remainder when p is divided by 14?
12
What is the remainder when 147 is divided by (-948)/(-25) + 224/2800?
33
Let t = -302 + 339. Calculate the remainder when 38 is divided by t.
1
Let b(i) = -i**2 + 8*i - 12. Let p be b(7). Let z(n) = -n**3 - n**2 + 8*n + 11. What is the remainder when z(p) is divided by 18?
17
Let p(i) be the third derivative of -i**4/24 + 8*i**3/3 + 4*i**2. Suppose h = 6*h - 150. What is the remainder when h is divided by p(8)?
6
Suppose 3*t = 4*g - 193 - 32, -g - 5*t = -62. What is the remainder when 1252 is divided by g?
55
Let j be (0 - 2)/(-1 + -1). Let r be (3/(-4) + j)*12. Suppose -r*q - 53 = -6*q - 2*m, q - 21 = m. Calculate the remainder when 73 is divided by q.
16
Let j = -467 - -890. What is the remainder when j is divided by 25?
23
Suppose 0 = -3*z - g + 444, 3*z - 67*g - 444 = -62*g. What is the remainder when z is divided by 33?
16
Let q(u) = u - 2. Let h be q(3). Calculate the remainder when 21 is divided by -2*h/(-4) + (-11)/(-2).
3
Suppose 16 = -4*x, -4*p + 3*x - 1418 = -9*p. Suppose -8 - p = -14*k. Calculate the remainder when k is divided by 5.
1
Suppose -10*d + 100 = -6*d. Suppose -3*g = 10 - d. Calculate the remainder when 28 is divided by g.
3
Let h(m) = -m**2 - 60*m - 223. What is the remainder when h(-42) is divided by 134?
131
Let q be (-5)/(2/((-8)/4)). Suppose q*y + 19 = 114. Suppose 0*p = p - y. Calculate the remainder when 74 is divided by p.
17
Let x = -19 + 21. Suppose -15 = -5*p + 3*d + 42, 5*p - 37 = -x*d. Calculate the remainder when 22 is divided by p.
4
Let d(o) = -o + 26. What is the remainder when 9/45 + (-514)/(-5) is divided by d(0)?
25
Let w be ((-10)/(-8))/(4/16). Suppose -w*j - 145 = -10*j. Suppose j = 3*l - 25. What is the remainder when 34 is divided by l?
16
Let m(d) = -23*d - 85. Calculate the remainder when m(-5) is divided by 22.
8
Let y = -15 + 31. Let m = y + -13. Suppose -z + 68 = -n - 0*n, 0 = -4*z + m*n + 270. What is the remainder when z is divided by 23?
20
Let n(d) = -d**3 + 12*d**2 - 7*d - 9. Let u be n(12). Let z = u - -138. Calculate the remainder when 176 is divided by z.
41
Let p be 4/14 - (-282)/42. Let d = 48 - p. What is the remainder when d is divided by 7?
6
Calculate the remainder when 14/126*(4 - -905) is divided by 41.
19
Suppose 33*r - 30*r = 42. What is the remainder when 153 is divided by r?
13
Let c(a) = 4*a**3 + 9*a**2 + 2*a + 14. Let m(p) = -p**3 - 3*p**2 - p - 5. Let k(q) = 2*c(q) + 7*m(q). What is the remainder when k(5) is divided by 8?
4
Let n = -375 - -541. Let s = -114 + n. Suppose -4*y + 64 = -s. What is the remainder when y is divided by 8?
5
Let m = 20 - -9. Let v = 31 - m. Suppose -5*k = -v*k - 30. Calculate the remainder when 34 is divided by k.
4
Suppose 0 = 5*r - 31 - 49. What is the remainder when (-1 - 35)*(-15)/12 is divided by r?
13
Let d = -44 + 83. Suppose 3*a - 382 = -5*r + 2*a, -r = 3*a - 82. Calculate the remainder when r is divided by d.
37
Let m(u) = 2*u**2 - 1. Let r be m(2). Suppose 5*v = r*v - 10. What is the remainder when 15 is divided by v?
0
Let h = 814 + -720. Calculate the remainder when 468 is divided by h.
92
Suppose 