1 = z + 4*f. Let g be 6 + (-65)/10 + z/2. Calculate the remainder when 0 - -64 - g*4/16 is divided by 19.
4
Suppose -8 = 4*v - 0, -5*v + 1091 = 3*c. Suppose 2*x + 416 = -2*f - 2*x, -2*x - 408 = 2*f. Let u = c + f. Calculate the remainder when u is divided by 43.
38
Let s = -4854 - -4966. Calculate the remainder when s is divided by 80.
32
Let p = 293 + -284. Calculate the remainder when (0 - 5)*156/(-30) is divided by p.
8
Let k(g) = -19*g - 24. Let s(z) = 16*z + 23. Let w(l) = -5*k(l) - 6*s(l). Calculate the remainder when w(-42) is divided by 4.
0
Suppose -3*z + 7 = -5. Let c be 96 + 12/(1 - z). Suppose -g + 26 = 2*i + 4*g, -g = -5*i + c. Calculate the remainder when 52 is divided by i.
16
Let l(m) = 4*m - 53. Let z be l(12). Suppose 0 = -0*p + 5*p - 45. What is the remainder when (-12)/(45/10 + z) - 2 is divided by p?
4
Suppose f - 2*h + 5 = 0, -3*f - h + 14 - 36 = 0. Let g(b) = b**3 - 15. Calculate the remainder when g(4) is divided by (-177)/f - (-2)/(-7).
24
Suppose -37*s + 280 = -2*s. Suppose -36 = s*o - 68. What is the remainder when 11 is divided by o?
3
Let b(z) = 42*z - 620. Calculate the remainder when 110 is divided by b(16).
6
Suppose 9*u = 4*u + a + 7, 5*u - 1 = -2*a. Let x be (-8)/(-2) + (-44)/u. Let w = x + 42. What is the remainder when 4 is divided by w?
0
Suppose 48*l = 21*l + 162. Suppose 0 = -4*b + 783 - 3. Calculate the remainder when b is divided by l.
3
Let x = 11219 - 11089. Calculate the remainder when x is divided by 74.
56
Suppose 34*t + 19*t - 24229 = 3066. Let l(m) = 73*m**3 + 2*m**2 - m. What is the remainder when t is divided by l(1)?
71
Let h be 285 + (4 + -3 - -2). Suppose 4*u = -0*u + h. Let v = 47 + -22. Calculate the remainder when u is divided by v.
22
Let h(v) = -v**3 + v**2 + 29*v + 12. Let j = -255 + 261. What is the remainder when 89 is divided by h(j)?
5
Let p(b) = 7*b + 96. Let s be p(-12). Suppose s*k - 6174 = 7770. What is the remainder when k is divided by 97?
95
Let a = 277 - 126. Let q = 671 - 969. Let i = 320 + q. What is the remainder when a is divided by i?
19
Let g = 78 + -4. What is the remainder when g is divided by (-14 + 93/6)*10?
14
Let d be (0 - 45/(-6))/(2/4). Suppose -x + 31 = d. Suppose -u = 3*q - 5*u - 47, 4*u - x = 0. What is the remainder when q is divided by 13?
8
Suppose 0 = 17*q - 10843 + 2717. What is the remainder when q is divided by 30?
28
Suppose 13*g - 15*g = 2. Let q be (-25)/3 - g/3. What is the remainder when (-10 - q)*55/(-2) is divided by 19?
17
Let u = -4080 - -5099. Calculate the remainder when u is divided by 20.
19
Let t = -275 + 281. Suppose 5*z - 3*o - 1105 = 2*o, 0 = -2*o - 6. What is the remainder when 105 is divided by 2/3 - z/t*-1?
31
Suppose -16*k + 46 = 46. Suppose k = 3*y - 405 + 240. What is the remainder when y is divided by 16?
7
Suppose 318 = 11*p - 321 + 89. Calculate the remainder when 469 is divided by p.
19
Suppose 0 = 5*o + 2*n - 177 - 177, 3*n = 3*o - 225. Suppose -5*r - 6*l - o = -9*r, -l = 3*r - 43. Calculate the remainder when (-1 - (-48)/2)*1 is divided by r.
8
Let i(r) = 2079*r + 4629. Calculate the remainder when i(-2) is divided by 466.
5
What is the remainder when 4332 is divided by (-129)/(-18) + 10/(-60)?
6
Suppose 8*m - 9*m = 0. Suppose 0 = 5*d - q - 103, 3*d + q - 45 - 12 = m. Calculate the remainder when 8 is divided by (-48)/40*d/(-6).
0
Let p = 210 + -109. What is the remainder when p is divided by 6 + (-6 - -2 - -1) - -10?
10
Let f = 154 - 27. Suppose 0 = -2*l + f + 67. What is the remainder when l is divided by 34?
29
Let l = -144 + 151. What is the remainder when -40*((-40)/10 + (-10)/(-4)) is divided by l?
4
Let s(c) be the third derivative of -c**4/12 - 10*c**3 - c**2 - 30*c. Let m = 65 - 44. What is the remainder when m is divided by s(-33)?
3
Let m be -8 + -1 + -8 + 16. Suppose 26 = -3*j - 0*u - u, -3 = -3*u. What is the remainder when (m - 1)*(-1)/(-2)*j is divided by 4?
1
Let j(b) = 65*b - 159. What is the remainder when j(3) is divided by 7?
1
What is the remainder when 187 is divided by (-71)/(-213)*(0 - -51)?
0
Let a(b) = 12*b**2 + 144*b - 85. Calculate the remainder when a(-14) is divided by 95.
61
Let l be ((-42)/(-77))/((-8)/(-44)). Suppose -13*u + 17*u - 4*q - 208 = 0, 4*u - 201 = -l*q. Calculate the remainder when 150 is divided by u.
48
Let m = 473 - 446. Suppose 0 = 5*s - m - 103. Calculate the remainder when s is divided by 4.
2
Suppose -39*x - 563 + 2747 = 0. What is the remainder when x is divided by 6?
2
Let w be (58 + 16)*(-6)/(-4). Suppose w = 20*l - 89. Let n(c) = c + 5. Calculate the remainder when l is divided by n(-3).
0
Let y be (8*(-3)/(-18))/(44/(-462)). What is the remainder when 25 is divided by 69/5 - y/70?
11
Suppose -10*a = -234 - 186. Suppose -d = 4*h - h - a, 4*d = -2*h + 188. What is the remainder when d is divided by 21?
6
Let s(b) = -2*b**3 - 34*b**2 - 146*b - 3. Calculate the remainder when 541 is divided by s(-10).
28
Suppose -4*x + y + 556 = -6*x, -4*x = -5*y + 1084. Let l = -94 - x. Calculate the remainder when l is divided by 23.
21
What is the remainder when 1483 is divided by 113 + -104 + (45 - -1)?
53
Let z(o) = -26*o + 86. What is the remainder when z(-1) is divided by 49?
14
Let r = -374 - -378. Calculate the remainder when 120 + -2 + (r - 7) is divided by 43.
29
Let x(k) = 6*k**2 + 5. Let y be x(-4). Suppose 2*a = 5*q - 613, -q - 4*a - a = -y. What is the remainder when q is divided by (-4)/(-6) + (-26845)/(-885)?
28
Let v = 1135 + -926. Let w(u) = u**2 + u - 17. Calculate the remainder when v is divided by w(8).
44
Suppose 0 = -5*l - k + 340, -4*l + 3*k + 278 = 5*k. What is the remainder when 601 is divided by l?
65
Suppose -2*o + 322 = 171 - 819. What is the remainder when o is divided by 84?
65
What is the remainder when 12106 is divided by (-37)/(222/(-96)) - (8 + 2)?
4
Let b(c) = c**2 + 7*c + 36. Suppose 214 = 2*v + 5*l, -v + 2*l - 428 = -5*v. What is the remainder when v is divided by b(-5)?
3
Suppose 117*m + 10*m - 12640 = -33*m. Calculate the remainder when m is divided by 51.
28
Let n = 402 - -271. What is the remainder when n is divided by 313?
47
Let r = 194 + -177. Suppose -r*w = -642 - 106. Calculate the remainder when w is divided by 40.
4
Let l = 24 + 72. Suppose 0*v = 3*v - l. Let g = 43 - 26. What is the remainder when v is divided by g?
15
Suppose 3*y = 3*n - 108, n + 2*y = -2*y + 46. Let f(a) = -666*a - 6587. Calculate the remainder when f(-10) is divided by n.
35
Let u = -116 - -111. Suppose -5*j + 18 = -3*j - 5*t, -5*j + 2*t = -87. What is the remainder when ((-5)/u)/(-2*1/(-72)) is divided by j?
17
What is the remainder when 309 - ((-700)/80)/(15/(-12)) is divided by 18?
14
Let l(p) = p**3 - 5*p**2 - 4. Let m be l(5). Let q = -27 - m. Let b = -10 - q. Calculate the remainder when b is divided by 8.
5
Let c(b) = 6*b**2 - 300*b + 38. Calculate the remainder when 2276 is divided by c(50).
34
Let n = -20 + 35. Let s(w) = 3*w**2 + 24*w + 38. Let p = -502 - -496. What is the remainder when n is divided by s(p)?
1
Let w = 52 - 48. Suppose 5*z + 3*h = 121, w*z + 41 = h + 148. Let j = z + -14. Calculate the remainder when 22 is divided by j.
10
Suppose -j + 13 = -5*i, 5*i - 78 - 17 = -5*j. Suppose 67*d = 240*d - 7876 - 13403. What is the remainder when d is divided by j?
15
Let l(y) = 3*y**3 + 26*y**2 - 15*y + 18. Let q be l(-9). Let x = 46 + -78. Calculate the remainder when 25 is divided by (-3 - 1)*q/x.
7
Suppose 0 = 2*k + 3*f - 8 - 3, -k = -2*f - 2. What is the remainder when 121 is divided by (0 - k)/(4/(-64))?
57
Let o(s) = s**3 + 20*s**2 - 16*s - 111. Calculate the remainder when o(-7) is divided by 33.
11
What is the remainder when 767 is divided by (4/22 - (404/44 + -9)) + 64?
63
Let h(m) = -m**3 - 2*m**2 + m + 19. Let p = -32 - -32. Let c be 3*(-5)/45*p/(-1). What is the remainder when 54 is divided by h(c)?
16
Let i be ((-21)/14)/((-5)/30). Suppose i = 5*y - 176. What is the remainder when y is divided by 4?
1
Let m(l) be the first derivative of -4*l**3/3 + 13*l**2 - 3*l + 51. Let f = 23 + -8. What is the remainder when m(5) is divided by f?
12
Suppose -3*f - 3*z + 429 = 0, -25*z + 29*z + 670 = 5*f. What is the remainder when f is divided by 16?
10
Let g be 2/2 - (-8 + -1). Let p be ((-860)/(-516))/(3/27). Calculate the remainder when (-423)/(-6)*