 - 16 = 50. Let t = -39 + p. Suppose l + 250 = 3*f + 93, -3*l - 216 = -4*f. What is the remainder when f is divided by t?
24
Let k(c) = c**2 - c - 1. Let s(r) = 10*r**2 + 8*r - 78. Let y(w) = 12*k(w) - s(w). Calculate the remainder when y(17) is divided by 77.
73
Let s = -114 - -116. Suppose 5*a = 2*i - 10, -5*a + i - s - 3 = 0. Suppose 4*t + 75 = k, -k = -a*k + 2*t - 45. Calculate the remainder when k is divided by 8.
7
Suppose 0 = -6*o + 20 + 4. Suppose 5*a - 142 = -3*q, -o*q + 2*a + 86 + 112 = 0. Calculate the remainder when q is divided by 9.
4
Suppose -18*i = -12*i + 1080. Let d = i + 259. Calculate the remainder when d is divided by 42.
37
What is the remainder when 284/18*9 + -8 is divided by 60?
14
Suppose -2093 = -16*i - 1853. Suppose 136 = v + t, 3*t + 2*t + 526 = 4*v. What is the remainder when v is divided by i?
14
Let i = -416 - -409. Let p(v) = -v**3 - 8*v**2 - 13*v - 28. What is the remainder when 38 is divided by p(i)?
10
Suppose r + 35 = 147. Suppose 5*k - r - 8 = 0. Suppose 113*q - 12*q = -60*q + 2254. Calculate the remainder when k is divided by q.
10
Calculate the remainder when (-4208889)/(-1028)*(-4)/(-1) is divided by 105.
102
Suppose 1 = 2*p - 3*r, -4*r + 20 + 16 = 2*p. Suppose -12 = 2*f - p*f. What is the remainder when 5 is divided by f?
1
Suppose -3*d - 11 = -k + 28, 4*k = d + 145. Suppose -k + 76 = 5*t. What is the remainder when 12 is divided by t?
4
Suppose 6*u - 39 = 27. Suppose -14*s + 36 = -13*s. What is the remainder when u is divided by (2/(-3))/((-80)/s + 2)?
2
Let o(z) = 4*z**3 + 5*z**2. Let l(d) = 7*d**3 + 9*d**2. Let h(f) = -3*l(f) + 5*o(f). Let i = 17 + 25. What is the remainder when i is divided by h(-3)?
6
Let o(u) = -148*u**3 - u**2 + 2*u + 2. Let t be o(-1). Suppose 3*h + w = 7*h - 201, -3*w + t = 3*h. Calculate the remainder when 749 is divided by h.
49
Let z(f) = -8*f**3 - 4*f**2 - 6*f - 6. Let g be 66/(-55) - (-4)/(-5). What is the remainder when 102 is divided by z(g)?
48
What is the remainder when (509/(-3))/(848/(-12720)) is divided by 2525?
20
Suppose 57*k + 84*k = 46*k + 19380. Calculate the remainder when k is divided by 23.
20
Let s = -42 + 60. Let q = 22791 + -22739. Calculate the remainder when q is divided by s.
16
Let t(l) = -11*l - 97. Let s = -202 + 193. Calculate the remainder when 66 is divided by t(s).
0
Let i(a) = -2*a - 16. Let q be i(-7). Let r(k) = -10 - 46*k + 130*k - 43*k - 49*k. What is the remainder when 29 is divided by r(q)?
5
Suppose -y - 3*a + 118 = 0, -4*y - 112*a + 107*a + 521 = 0. Calculate the remainder when 3335 is divided by y.
138
Suppose 626 = 21*t + 185. What is the remainder when 6/21 + 0 + 444/14 is divided by t?
11
Let v(m) = 7*m**2 + 192*m - 277. Calculate the remainder when v(-31) is divided by 70.
8
Suppose -u + 2*u = 6. Suppose -6*w = -2*w - 5*i + 2495, -3*w - i - 1876 = 0. Let o = w - -647. What is the remainder when o is divided by u?
4
Let f be (-1)/(-5) + (-1)/5. Let t = 20 - 20. Calculate the remainder when 41 is divided by t/(4 - f) + 9.
5
Let l(s) = -s**3 + 11*s**2 - 19*s - 11. Let a be l(13). What is the remainder when (a/6)/((-10)/15) is divided by 19?
16
Let n = -101 + 108. Suppose 390 + 254 = n*b. Calculate the remainder when b is divided by 19.
16
Let i = -51 + 104. Let t be (-2)/2 + -2 + 8. Suppose 4*k = t*k - 18. What is the remainder when i is divided by k?
17
Suppose 5*g = -20, 5*m - 49253 = 2829*g - 2832*g. What is the remainder when m is divided by 32?
29
Suppose -9 - 105 = -2*x. Let p = x - 37. Suppose -4*i - 5*d + 132 = 0, 2*d + 64 = 2*i + 5*d. What is the remainder when i is divided by p?
18
Let y = -11047 + 24881. Calculate the remainder when y is divided by 4.
2
Let o be ((-6)/(-15))/((-8)/(-100)). Suppose 0*q = -2*f + o*q + 67, 5*f = 2*q + 178. Calculate the remainder when f is divided by 35.
1
Let s = 6 - 3. Suppose f + s = 13. What is the remainder when (-218)/(-13) + (-315)/(-1365) is divided by f?
7
Let d = -1241 + 1449. What is the remainder when d is divided by 105?
103
Suppose 59*s = 12*s + 2626 + 147. What is the remainder when 996 is divided by s?
52
Suppose 27*d - 21*d - 60 = 0. Calculate the remainder when ((-175)/d - -4)*(-24)/9 is divided by 19.
17
Suppose -l - 4*l = -50. Let y = -14436 - -14521. What is the remainder when y is divided by l?
5
Let f(v) = v**2 - 19. Let b be f(-5). Suppose -k - 3*y + b = 7, -17 = -k + 3*y. What is the remainder when 74 is divided by k?
2
Suppose -6*m = -3*m + 24. Calculate the remainder when 3/(-27)*111*(-3)/1 is divided by 100/m*12/(-15).
7
Let g = -1381 - -1396. Let s(x) = 42*x**3 + x**2 - 2*x + 1. Suppose -7*t + 3*y + 4 = -3*t, 3*y = 5*t - 5. What is the remainder when s(t) is divided by g?
12
Let b(f) = -10*f**2 + 7*f. Let h(k) = -22*k**2 + 14*k - 1. Let m(u) = 13*b(u) - 6*h(u). What is the remainder when (4 - 151)*(2 + (-8)/3) is divided by m(-5)?
14
Let t be 5 + -10*(-6)/(-12). Suppose t = -2*z + 5 + 1. Suppose 2*r - 3*f - 34 = -2*r, -1 = r + 4*f. What is the remainder when r is divided by z?
1
Suppose -489 = -3*n + 3*b, 0*n - 5*n - 4*b + 824 = 0. Let c = -121 + n. Calculate the remainder when c is divided by 23.
20
Suppose -51*o = c - 55*o - 18, -4*o - 70 = -3*c. What is the remainder when 3584 is divided by c?
22
Suppose 47*h + 342 = 65*h. Suppose 0 = -4*n - 2*c + 234, -5*c + 0 = 5. Calculate the remainder when n is divided by h.
2
Let y(r) = -r**3 - 51*r**2 - 50*r + 11. Let a be (30/(-18))/((-3)/(-90)). What is the remainder when y(a) is divided by 4?
3
Let h(x) be the third derivative of -x**4/3 - 8*x**3/3 - 2*x**2. Let m be ((-474)/395)/((-46)/50 - -1). Calculate the remainder when h(m) is divided by 21.
20
Let l = -3429 - -3658. Calculate the remainder when l is divided by 80.
69
Suppose 25*v + 204 = 37*v. Suppose 2*s - 41 = -4*x + v, -x = -4*s + 80. Calculate the remainder when 48 is divided by s.
6
Suppose -3*b + 53 = 4*o, b + 2 = -b. Suppose 209 = 3*u - 2*f + f, f = 5*u - 347. What is the remainder when u is divided by o?
13
Let o = -12 - 7. Let b = o + 49. Suppose -g + 0*g = -b. Calculate the remainder when g is divided by 11.
8
Let b(i) = -i**3 - 33*i**2 - 60*i + 86. Suppose 931 = 12*n - 5. What is the remainder when n is divided by b(-31)?
6
Suppose 5*z - 478 = -4*j + 159, 3*z + 2*j - 381 = 0. What is the remainder when 385 is divided by z?
10
Let f(n) = -n**2 - 38*n + 97. What is the remainder when f(-14) is divided by 65?
43
Suppose -81*q - 6069 = -19758. Calculate the remainder when q is divided by 9.
7
Let v be 20/3*42/(-35). Let q be (v/10)/(28/70). Calculate the remainder when ((-12)/30)/(2*q/120) is divided by 2.
0
Let t(o) = -122*o**3 - 2*o**2 - o. Calculate the remainder when t(-1) is divided by 16 - (47 + 1224/(-17)).
39
Suppose 2*a - 1031 = k, -5*a + 2*k = k - 2582. What is the remainder when a is divided by 37?
36
Let v(j) = -j**3 + 28*j**2 + 30*j + 47. Let w be v(29). Suppose 2*s = -5*d + w, -d + 50 + 94 = 5*s. Calculate the remainder when 139 is divided by s.
27
Let g(o) = -o**2 + 24*o + 18. Let l be g(18). Let c be (116/10)/((-4)/40*2). Let z = c + l. What is the remainder when z is divided by 7?
5
Let u(j) = -j**3 + 20*j**2 + 122*j + 62. Calculate the remainder when u(20) is divided by 249.
12
Let j be (-66)/(3/(-1))*(-2)/(-4). Suppose -j*p + 513 = -345. Let v = -27 + p. Calculate the remainder when v is divided by 4.
3
Let z be 56/(-3)*((-3861)/(-36))/(-13). Suppose -z = -t - 136. Calculate the remainder when 54 is divided by t.
0
What is the remainder when 13905 is divided by 2*1/(-2) + -20*(-621)/108?
111
Let m = -10560 - -14319. What is the remainder when m is divided by 209?
206
Suppose 171 = 10*h + 71. Suppose 0 = -5*b + b + 892. Suppose -523 = -h*g - b. What is the remainder when g is divided by 17?
13
Let z(n) = -7*n**2 - 5*n + 8761. What is the remainder when z(0) is divided by 127?
125
Suppose -7*s + 0*s = -63. Suppose 5*v = j - 6, -s*j + 8*j = 4*v - 51. What is the remainder when 36 is divided by j?
5
Suppose 40*t - 12 = 43*t. Let y(h) = -20*h - 61. What is the remainder when 82 is divided by y(t)?
6
Suppose -7*t = -2*v - 6*t + 18, 0 = -4*t + 8. Suppose -r - 4*w = -0*w - 66, 4*r - 2*w = 246. Calculate the remainder when r is divided by v.
2
Let s = 4759 - 4162. What is the remainder when s is divided by 75?
72
What is the remainder when