 3/(-12). Let v = 19 + u. Let t(x) = x + 11. What is the remainder when 60 is divided by t(v)?
12
Suppose -7*a = -2*a, 4*d - 2*a - 52 = 0. Let c = 74 + 1. Suppose -d*u + c = -81. What is the remainder when 105 is divided by u?
9
Suppose 1371*f = 1400*f - 2436. Calculate the remainder when f is divided by 22.
18
Let z = 5031 - 4962. What is the remainder when 151 is divided by z?
13
Suppose 11*w - 9*w = 2*a - 4016, -3*a + w = -6016. What is the remainder when a is divided by 17?
15
Let o(y) = 5*y**3 - 7*y**2 - 62*y + 367. What is the remainder when o(5) is divided by 11?
1
Let z(m) = -430*m - 336. Calculate the remainder when 1885 is divided by z(-1).
5
Let x(b) = 39*b**2 + b + 8. Suppose -33 = -o + 1. What is the remainder when x(-2) is divided by o?
26
Suppose z - 2*b - 15 = 0, -b = -2*z + 21 + 24. Suppose 6*h - z*h + 418 = 0. What is the remainder when 107 is divided by h?
19
Suppose 700*m - 893*m + 1737 = 0. Calculate the remainder when 89 is divided by m.
8
Let r be 70/(-21)*6/(-4). Suppose 472 = r*h + 102. What is the remainder when h is divided by 100/(-6)*105/(-70)?
24
Calculate the remainder when 1516 is divided by 105/42 - 1794/(-12).
148
Let i = 147 + -219. Calculate the remainder when ((-172)/6)/(-1 + (-56)/i) is divided by (44 + 0)/(3 + -2).
41
Let a(q) = q**2 + 4*q + 6. Suppose g + 4594 - 1090 = 147*g. Calculate the remainder when a(6) is divided by g.
18
Let j = -162 + 357. Let d = j - 190. What is the remainder when 5 is divided by d?
0
Let i(c) = 29*c**3 - c. Let d = -353 + 173. Let u = d + 186. What is the remainder when i(1) is divided by u?
4
Suppose 3*h + 1488 = 3*j, 4*j + 5*h - 563 = 1421. Calculate the remainder when j is divided by 165.
1
Let q(n) = -6 - 3*n**2 - 19 + 50 - 36*n. Calculate the remainder when q(-11) is divided by 5.
3
Suppose -5*v - w - 258 = 0, -4*w = 1 - 9. Let z = -14 - v. What is the remainder when 183 is divided by z?
31
Let b(d) = 19*d**3 - 5*d**2 + 19*d - 4. Let p be b(3). Suppose 526*m - p*m = 285. What is the remainder when 169 is divided by m?
55
Suppose -g = -3 + 1. Suppose -g*d = -6*d + 12. Suppose -390 = -6*u + u + 2*n, 2*u - 156 = -d*n. Calculate the remainder when u is divided by 20.
18
Suppose 0 = -2*i + 160 - 34. Calculate the remainder when (-8 + (-290)/(-50))*-85 is divided by i.
61
Suppose -2106 = 134*w - 212*w. What is the remainder when 1504 is divided by w?
19
Suppose 35 = -7*f, -5*f + 71 = 21*z - 19*z. What is the remainder when 93 is divided by z?
45
Let p be 0/2 + 16/(-2) + -2. Let t = -9 - p. Suppose -2*l + 13 = v, v + t = -0*v + 5*l. What is the remainder when 26 is divided by v?
8
Let k = 1100 + -1088. Calculate the remainder when -3 - (-7 - 702)/1 is divided by k.
10
Let f(r) = -r**3 + 4*r**2 + 6*r + 4. Let n be f(-5). Suppose 2*u - 176 - 494 = 5*y, 4*u - 116 = y. Let z = n + y. What is the remainder when z is divided by 16?
15
Suppose -957 = -56*o + 63*o - 36*o. What is the remainder when 5509 is divided by o?
31
Let d(y) = -y**3 - 41*y**2 - 342*y + 32. Calculate the remainder when d(-8) is divided by 283.
90
Let w(b) = -67*b**2 - 483*b - 9. What is the remainder when 309 is divided by w(-7)?
42
Suppose 454*k - 900*k + 428*k = -4734. Calculate the remainder when k is divided by 94.
75
Let o(x) = 60*x - 874. Calculate the remainder when 371 is divided by o(16).
27
Let p = 109 - -1. Suppose 12*j - p - 250 = 0. What is the remainder when j is divided by 4?
2
Suppose 5*y + 6*z - 30 = 4*z, 0 = 5*y - 2*z - 50. Suppose -2*x - x - 5*q = -32, -y = 4*q. Calculate the remainder when ((-66)/4)/((-7)/x) is divided by 22.
11
Let r = -11084 + 12018. Calculate the remainder when r is divided by 11.
10
Suppose -2*b - 131 + 4019 = 3*g, -12 = -2*g. What is the remainder when b is divided by 965?
5
Let s(i) = i**3 - 10*i**2 + i - 5. Let o be 695/15 - 1/3. Let t = o + -22. What is the remainder when t is divided by s(10)?
4
Let m be 6/(-16) + (-4977)/168. What is the remainder when 138 is divided by m/(-30)*(9 + -2)?
5
Suppose 562 = -11*w + 694. What is the remainder when 47 is divided by w?
11
Let o be 885/(-27) - (-2)/(-9). Let m = o - -56. What is the remainder when (-2)/(14/(-295)) - (-2028)/2366 is divided by m?
20
Suppose 0 = 6*w - 7*w + 3. Let v be -4 + 11/1 - w. Suppose j - 13 = -4*n - 2*j, -n + v*j - 11 = 0. What is the remainder when n is divided by 1?
0
Let l(v) be the first derivative of -v**3/3 + 13*v**2/2 - 10*v + 4. Suppose -21*i = -13*i - 448. What is the remainder when i is divided by l(11)?
8
Let p be (-297)/(-22)*(-16)/(-3). Suppose 3*q - 4*t + 35 = 4*q, -p = -4*q + t. What is the remainder when q is divided by ((-1)/2)/(2/(-28))?
5
Suppose 8*a + 2*a - 420 = 0. Suppose -3*g + 3*r + a = 0, -3*g + 0 = -5*r - 44. Let k = 210 - 146. What is the remainder when k is divided by g?
12
Let a(t) = -41*t - 254. Suppose 0 = -2*b - 16*y + 19*y - 29, 0 = -b + 5*y - 32. What is the remainder when a(b) is divided by 12?
9
Suppose 0 = a + 10, 5*s + a = 245 - 55. Let h(x) = 12*x**3 - x**2 + 4*x - 3. What is the remainder when h(2) is divided by s?
17
Suppose 3*x = 4*a - 187, 3*a + 8*x = -a + 176. Calculate the remainder when 96 is divided by a.
4
Suppose 89*p + 179*p - 66732 = 0. Calculate the remainder when 1211 is divided by p.
215
Let i = 234 - 87. Let s(b) = 3*b**3 - 19*b**2 + 12*b - 6. What is the remainder when i is divided by s(6)?
27
Suppose 8*h - 59*y + 60*y - 105 = 0, 5*h - 4*y - 98 = 0. Let b = 10 + -6. Suppose b*r - 16 = -0. Calculate the remainder when h is divided by r.
2
Let x = 18 + -20. Calculate the remainder when 3/(-1)*-8 - x is divided by 14.
12
Let m be -8*(-6 - 102/(-12)). What is the remainder when -701*(m/4 - (0 - 4)) is divided by 19?
17
Let t(q) = 116*q**2 - 1. Let s be t(-1). Suppose -3*z - 25 + s = 0. Let j = z - 13. Calculate the remainder when j is divided by 10.
7
Let w(j) = 23*j - 30. Let v(f) = f**2 + 5*f + 5. Let u be v(-2). Let q be (5 - -1 - 4)/(u/(-2)). What is the remainder when w(q) is divided by 8?
6
Let d(q) = -q**3 - q**2 + 99. Let r be d(0). Suppose 2*k = -27 + r. Let n = 58 + 47. Calculate the remainder when n is divided by k.
33
Suppose -12033*i = -12103*i + 69720. What is the remainder when i is divided by 284?
144
Suppose -2021 - 12244 = -39*z - 771. Calculate the remainder when z is divided by 48.
10
Suppose -10*u - 105 = -525. Suppose d = -q + u, 4*q + 32 = -6*d + 7*d. What is the remainder when 159 is divided by d?
39
Suppose -31*k + 33*k = -5*w + 2, 5*k - 5 = -5*w. Let a(d) = 18*d**2 - 3*d + 2. Calculate the remainder when 305 is divided by a(k).
16
Suppose -5*o = -4*r + 82 - 4, 4*r - 3*o = 82. Let z = -67170 - -67208. Calculate the remainder when z is divided by r.
16
Let b(q) = -6*q + 7. Suppose 16 - 18 = -2*w. Let v be b(w). What is the remainder when 22 is divided by ((-40)/(-24))/(v/3)?
2
Let o(i) be the first derivative of -27*i**2/2 + 82*i - 59. Calculate the remainder when o(-8) is divided by 76.
70
Suppose 4*j = -5*o + 6926, -5*j - 15*o = -17*o - 8707. What is the remainder when 5237 is divided by j?
20
Let w be (-7)/(-35) - 95/(-25). Suppose 29 = l + w*f, -4*l + 0*f + 171 = 5*f. What is the remainder when 487 is divided by l?
46
Let s = -5810 + 7208. What is the remainder when s is divided by 12?
6
Suppose -i = 26*h - 30*h - 130, -339 = -3*i - 5*h. Suppose -4*j + 0*j + 160 = 0. What is the remainder when i is divided by j?
38
Let m be 4*(-1)/(-2) + 3. Suppose -73 = -3*x - m*t - 12, 2*t = 3*x - 26. Suppose -11*c + 1913 = 22*c - 397. What is the remainder when c is divided by x?
10
Suppose -3*h - 3595*f = -3593*f - 523, h - 146 = 5*f. What is the remainder when h is divided by 29/1 + -1 + 2?
21
Suppose -5*i = -4*y - 4 + 431, -5*y - 2*i + 575 = 0. Let h(f) = 3*f - 55. What is the remainder when y is divided by h(26)?
21
Calculate the remainder when (-1 - (5 - 5))/((-5720)/(-1908) - 3) is divided by 27.
18
Suppose 9*z - 3237 + 3066 = 0. Calculate the remainder when 1244 is divided by z.
9
Let o = 968 - 919. Let v be ((-12)/(-10))/(30/1100). Suppose -179 = -5*h - v. What is the remainder when o is divided by h?
22
Suppose -53 = -2*m + 5*i, 5 = -4*m - i + 78. Suppose n + m - 31 = 0. Calculate the remainder when 119 is divided by n.
11
Let v(y) = y**2 - 47*y + 843. Calculate the remainder when v(31) is divided by 16.
11
Let r = -10361 -