04
Let l(a) = -2*a**3 - 4*a**2 - a + 581. Let w be l(0). Let r = 673 - w. Let o = -77 + 110. Calculate the remainder when r is divided by o.
26
Suppose 27*m - 40527 = -3*m - 27*m. What is the remainder when m is divided by 14?
11
Let s(v) = 16*v - 6. What is the remainder when 58 is divided by s(1)?
8
Suppose 160 = 10*p - 5*p + 5*h, 92 = 3*p + 4*h. Let m(s) = 3*s - 13*s - 72 - 2*s + 6*s. Calculate the remainder when m(-23) is divided by p.
30
Let t(b) = 5*b**2 + 16*b - 7. Let g(d) = d**2 + d. Let u(q) = -6*g(q) + t(q). Calculate the remainder when 25 is divided by u(3).
11
Let y = 7 + 17. Suppose 4*w - 1278 = -5*l - 459, -l + 171 = -w. What is the remainder when l is divided by y?
23
Let a(s) = 1. Let c(j) = -6*j - 7. Let x(o) = 6*a(o) + c(o). Let v be x(-4). Suppose v = -7*i + 275. What is the remainder when i is divided by 22?
14
What is the remainder when (-21)/(-42)*17730/9 is divided by 26?
23
Let s(a) = -11*a**2 + 2*a - 1. Let y be s(2). Let j = -669 + 727. What is the remainder when j is divided by y/(-2) + (-2)/4?
18
Suppose 280 + 317 = -3*n + 654. Let z(l) = 2*l**2 - 4*l - 1. What is the remainder when z(-3) is divided by n?
10
Let j = 52 + -45. Suppose 4*s = m - j, 0 = 5*m - s - 2*s - 103. Suppose 8*l = 6*l + 26. What is the remainder when m is divided by l?
10
Suppose -23*b + 105 + 10 = 0. Let h = 25 - 13. Calculate the remainder when h is divided by b.
2
Suppose -4*k + 2634 = 3*l + 609, 1357 = 2*l + 5*k. What is the remainder when l is divided by 650?
21
Let z = 353 - 176. Suppose -5*r + z - 2 = 0. Calculate the remainder when r is divided by (-1)/(-3 + (-46)/(-16)).
3
Suppose 4 = w - 20. Let m(y) = -43*y - 9 + 11*y + 25*y + 16*y**2. What is the remainder when m(-2) is divided by w?
21
Let x = -130 - -162. Suppose -a + 149 = x. What is the remainder when a is divided by 15*(2 + -3 + 2)?
12
Let x be 0*2/4 + 0. Let u = -5445 - -5449. Suppose 4 = u*r, x = -n + r - 0*r + 22. What is the remainder when 87 is divided by n?
18
Suppose v + 129 = 4*j + 4*v, 3*j - 3*v = 81. Calculate the remainder when (-3)/1*1339/(-39) - 5 is divided by j.
8
Let b(c) = -c + 8. Let n be (77/22)/(1/(-2)). Suppose 0 = -3*v - 2*q + 153, 3*v - q - 152 - 10 = 0. What is the remainder when v is divided by b(n)?
8
Let n = -219 - -228. Suppose 8*u - n*u = 3*a - 17, -a + 5*u + 11 = 0. Let d = -3 + 7. What is the remainder when a is divided by d?
2
What is the remainder when 1533 is divided by 4/(-16) + 1/((-36)/(-3465))?
93
Let h(k) = -3*k - 46. Calculate the remainder when h(-37) is divided by 16.
1
Suppose 818 + 223 + 234 = 15*k. Calculate the remainder when 670 is divided by k.
75
Suppose v + 10 = m, 2*v = -3*m + m - 8. Let s(b) = -b. Let f(y) = 2*y - 2. Let c(x) = -f(x) - s(x). What is the remainder when 33 is divided by c(v)?
6
Let g be (1 - -3) + 24/3. Let m(d) = 3*d**2 + 12*d - 127. Calculate the remainder when m(g) is divided by 25.
24
Let s = 4912 + -4901. Suppose d - 6*d - 1829 = -3*o, d - 2408 = -4*o. What is the remainder when o is divided by s?
9
Let t be 12/3 - 1*5/1. Let a(k) = 2*k**3 + 10*k**2 - 6*k - 7. What is the remainder when (-400)/60*(t - 50/4) is divided by a(-5)?
21
Suppose 0 = 43*b + 33*b - 62*b - 16604. What is the remainder when b is divided by 117?
16
Let q = -323 + 143. Let z = -146 - q. What is the remainder when 127 is divided by z?
25
Let p = -338 + 356. Suppose -c = 2*f + 15 + 18, -f = -c - 33. What is the remainder when 12/2 - 4 - c is divided by p?
17
Suppose -u = -4*u - 4*s + 22, u - 6 = -s. Let q(c) = -c**3 - c**2 + 5*c + 1. Let b be q(u). What is the remainder when 334/4 + (b - (-3)/2) is divided by 17?
16
Let z(s) = -33*s - 103. Let d be z(-6). Suppose 96*j - 153 = d*j. Calculate the remainder when j is divided by 22.
21
Suppose -4*h + 92 = 4. Let s = 36 - 42. Let o(j) = -j**3 - 3*j**2 + 4*j + 3. What is the remainder when o(s) is divided by h?
21
Suppose -59*x + 58*x - 2*v + 263 = 0, -5*x + 4*v + 1357 = 0. Calculate the remainder when x is divided by 89.
2
Suppose 4*f + 40*f = 440. Let c(x) = x**2 + 13*x + 4. Suppose -5*q - 4*j = 5 + 57, -4*q + 4*j = 64. What is the remainder when c(q) is divided by f?
8
Suppose -26*h + 11735 + 2721 = 0. Suppose h = 15*y + 91. What is the remainder when y is divided by (-19)/(-1*2/2)?
12
Let t(p) = p**3 + 9*p**2 + 8*p + 51. Let u be t(-9). What is the remainder when 51 + u - 7/(-1) is divided by 5?
2
Let m = -14929 + 15010. What is the remainder when m is divided by 59?
22
Let z = -3292 - -3409. Calculate the remainder when 458 is divided by z.
107
Let x(b) = -b**3 + 11*b**2 + 13*b - 1. Let c = -249 + 445. Calculate the remainder when c is divided by x(12).
9
Let s(k) = -k**3 + 19*k**2 + k - 22. Let l be s(19). Let c(b) = -2*b**3 - 2*b**2 + 4*b + 18. What is the remainder when c(l) is divided by (-6)/9 + (-70)/(-6)?
9
Suppose -5*t + 3*r = -435, 5*t + r - 227 = 188. What is the remainder when 1259 is divided by t?
83
Let p = -11810 + 12269. What is the remainder when p is divided by 166?
127
Let s = 3348 - 2899. What is the remainder when s is divided by 3?
2
Let j = -149 - -190. Let w = 59 - j. What is the remainder when 626 is divided by w?
14
Suppose 607*h - 583*h = 3288. Calculate the remainder when h is divided by 3/2*46/3.
22
Let s = -7559 + 7568. Calculate the remainder when 512 is divided by s.
8
Let b be ((-216)/32)/9*-112. Suppose 82*c + 434 = b*c. Calculate the remainder when c is divided by 105.
7
Suppose 151*s = 139*s + 1968. Calculate the remainder when s is divided by 55.
54
Calculate the remainder when (-26)/(-260)*-505*(-1 + 0 + -29) is divided by 31.
27
Calculate the remainder when ((-712)/(-6))/(84/189) is divided by 92.
83
Suppose -7*g = 5*d - 8*d - 685, d = 2*g - 196. What is the remainder when g is divided by 14?
13
Let m(v) = v**3 - 12*v**2 + 178. What is the remainder when m(0) is divided by 17?
8
Let f be (-2)/(-11) + (4 - 30170/(-77)). Let u = 399 - f. Calculate the remainder when 36 is divided by u.
0
Let w(r) = 2*r**3 - 26*r**2 + 24*r - 129. Let p(z) = -4*z + 7. What is the remainder when w(13) is divided by p(-6)?
28
Let z(d) = -11*d - 13. Let s(m) = -m - 6. Let q be s(-2). Let p = 40 + 17. Calculate the remainder when p is divided by z(q).
26
Let h = 2459 - 2355. Suppose 0 = n - q - 55, -n = -6*n - 3*q + 259. What is the remainder when h is divided by n?
51
Let y(h) = -h**3 - 23*h**2 + 47*h - 270. What is the remainder when y(-29) is divided by 39?
20
What is the remainder when ((-5 + -1)*27/54)/(15/(-3580)) is divided by 72?
68
Let l(b) = b**3 - 9*b**2 + 48*b - 158. Let a be (3/(-3))/((-2)/(-66)). Let x = 60 + a. Calculate the remainder when l(7) is divided by x.
26
Let b = 2544 - 2195. What is the remainder when b is divided by 85?
9
Let b = -30 - -77. Suppose 57*v - 61*v + 552 = 0. What is the remainder when v is divided by b?
44
Let y(t) = 5*t**2 - 22*t - 15. Suppose w - 4 = -d + 8, -d - 3*w = -22. What is the remainder when y(d) is divided by 24?
4
Let v(y) = 44*y**2 + 3*y + 4. Let f be (4 - 0 - 1) + -11 + 20. Suppose 4*c = -8*c - f. What is the remainder when v(c) is divided by 12?
9
Let j = -322 + 326. Suppose -j*v = 5*v - 117. What is the remainder when 70 is divided by v?
5
Suppose -5*d = 56 - 926. Suppose -c + 2450 = 10*q - 5*q, -2*c = q - 490. Suppose 0 = -4*i + q + d. What is the remainder when i is divided by 13?
10
Suppose 12 = w + 2*w. Let x = -6533 + 6608. Suppose 4*k - w*o + 11 - 87 = 0, 5*k - x = -5*o. Calculate the remainder when 83 is divided by k.
15
Let o = 74 + -38. Let k = o - 26. Let s = -468 - -485. What is the remainder when s is divided by k?
7
Let g(a) = 20*a + 872. What is the remainder when 669 is divided by g(-43)?
9
Suppose 3*b - 2*y = 2 - 107, -y = -5*b - 182. Let f = -10 - b. Suppose 0 = 2*n - 0*n - 12. What is the remainder when f is divided by n?
3
Let d be (-4 + 351/6)*2. Let a(g) = -2*g**2 - 3*g - 8. Let w be a(-6). Let b = w + d. Calculate the remainder when b is divided by 28.
19
Suppose -4*d + h = -941, 3*h - 1189 = -5*d - 0*h. Let c = 5 + 9. Suppose -6*t - 4*z = -4*t - c, 0 = -4*z - 20. What is the remainder when d is divided by t?
15
Let u(s) = -s**3 + 9*s**2 + 340*s - 2767. Let y(r) = -r**3 + 4*r**2 + 4. Calculate the remainder when u(8) is divided by y(4).
1
Suppose 88*y + 2*y - 4644 = 1026. Calculate the remainder