he remainder when 3319 is divided by 22 - (23 - (-253)/(-11)).
19
Suppose 0 = 4*q - 16 - 0. Suppose q*n = -b + 22 - 0, 4*n - 3*b - 30 = 0. Suppose -6*x = n - 42. What is the remainder when x is divided by 3?
0
Suppose 0 = 4*n + b - 2134, -3338 = -5*n - 2*b - 666. What is the remainder when n is divided by 21?
7
Let q(s) = -s**3 - 4*s**2 + 7*s + 5. Let t(h) = -h**3 + 33*h**2 - 112*h + 76. What is the remainder when q(-6) is divided by t(3)?
5
Suppose -19*f - 29*f = 1038 - 4638. What is the remainder when 374 is divided by f?
74
Let z = 9 + 4. Suppose -110 = -5*a - 4*o + 136, -3*a = 4*o - 146. What is the remainder when a is divided by z?
11
Let r(p) = 28*p**2 + 53*p + 408. What is the remainder when r(-6) is divided by 25?
23
Let i = 56 - 52. Suppose -2*z = 4*n - 70, -4*n + i*z + 55 + 21 = 0. What is the remainder when n is divided by 10?
8
Let d be (((-28)/(-3))/(-14))/(1/(-141)). Let f = d - 84. Suppose -a + 5*h + 39 = 0, -3*a + 4*h = -123 + 17. Calculate the remainder when a is divided by f.
4
Let v(y) = 2*y**3 + 54*y**2 - 743*y - 68. Calculate the remainder when 501 is divided by v(-37).
28
Suppose -3*l + k = -3, 0*l = -2*l - 2*k + 10. Suppose -2*u = 3 - 11, 2*w - u = -l. Calculate the remainder when w is divided by 12/20 + (-4)/(-10).
0
Let y = 4203 + -4162. What is the remainder when 2293 is divided by y?
38
Suppose 2*f = -12*c + 254, -17*f + 398 = -13*f + 2*c. Calculate the remainder when 168 is divided by f.
71
Let o be 810/(((-6)/(-2))/(5 + -2)). Suppose -15*l + o = 3*l. Suppose -p + 1335 = 4*p. What is the remainder when p is divided by l?
42
Let k = -44776 - -47717. Calculate the remainder when k is divided by 44.
37
Let g be 2/7 + 187/7. What is the remainder when 23 is divided by -3 - 3/(g/30)*-3?
2
Let g = 33 + 30. Suppose -39653 = 310*c - 116843. What is the remainder when c is divided by g?
60
Suppose 29*y - 9249 - 640 = 0. Let i = y - 259. Calculate the remainder when i is divided by 40.
2
Suppose 4*y - 2*l - 1774 = 906, -659 = -y - 5*l. What is the remainder when y is divided by 80?
29
Let n(m) = 2*m**2. Let v be n(1). Suppose q = v*q - 66. Let y(s) = -2*s**3 + 15*s**2 - 15. What is the remainder when q is divided by y(7)?
32
Let l = 32 + -18. Let s(m) = 2*m**2 + 22*m + 28. Suppose 0 = -4*c - c + 4*g - 66, 0 = 4*c + g + 36. What is the remainder when l is divided by s(c)?
6
Let k = -415 + 418. Suppose -87 = -3*u - k*y, 3*u + 2*y - 10 = 80. What is the remainder when 82 is divided by u?
18
Let v(n) = -2*n**3 - 4*n**2 + 2*n - 7. Let c be v(-3). Let x be 108 - 1/c*5. What is the remainder when (-45)/(-30) - x/(-2) - -1 is divided by 12?
8
Let z(t) = t - 26. Let v(j) = 2*j - 1. Let b(g) = -2*v(g) - z(g). What is the remainder when 97 is divided by b(3)?
6
Let i = 416 + -399. Let z(w) = -w**2 - 4*w + 3. Let d be z(-6). What is the remainder when (-3)/d + (-764)/(-12) is divided by i?
13
What is the remainder when 688 is divided by 18 + (174/(-116))/((-1)/(-2))?
13
Let g = 7237 + -7190. What is the remainder when g is divided by 33?
14
Let q(z) = z + 18. Let m be q(-15). Let l(i) = -5*i**2 + i + 2*i**2 - 11*i + 0*i**3 + 13 + i**m. Calculate the remainder when l(6) is divided by 16.
13
Suppose 14275 = -33*a + 56317. Calculate the remainder when a is divided by 24.
2
Let h(b) be the third derivative of b**4/24 + 4*b**3/3 - 13*b**2. Let f be 9/4*(-96)/(-36). What is the remainder when 41 is divided by h(f)?
13
Let b(r) = r**3 - 12*r**2 + 10*r + 11. Let s be b(11). Suppose -4*a + a - 24 = s. Let u = a - -28. Calculate the remainder when 37 is divided by u.
17
Let j = 77 + -29. Suppose 2*b = 6*b - j. Suppose 2*r - 2*z = 52, r + 0*z - 20 = -z. Calculate the remainder when r is divided by b.
11
Let u(c) = -4*c**2 + 19*c + 123. Calculate the remainder when 93 is divided by u(8).
17
Suppose -7*v - k + 470 = -1014, 5*v - k - 1036 = 0. Let y = 206 - 131. Calculate the remainder when v is divided by y.
60
Let n(x) = -x**2 - 31*x - 22. Calculate the remainder when n(-9) is divided by 23.
15
Let i = 411 + -347. Let o = i - 20. Calculate the remainder when 131 is divided by o.
43
Suppose 0*x = -2*x + 102. Let o be (-9 - (-22 - -8)) + 0/(-2). Suppose -432 = o*j - 29*j. What is the remainder when x is divided by j?
15
Suppose -2*v + 79 + 142 = -5*s, 0 = -2*s + 6. Suppose -5*w + 99 = -2*w. What is the remainder when v is divided by w?
19
Let i = 9450 - 8245. What is the remainder when i is divided by 30?
5
Suppose 4*n - 224 = 4*h, -5*h = 21*n - 25*n + 223. What is the remainder when 134 is divided by n?
20
Suppose 3*d = 6, -w - 4*w - 5*d + 185 = 0. Let n(t) = 756*t - 17112. What is the remainder when n(23) is divided by w?
31
Suppose -554*a + 70 = -540*a. Suppose -496 = a*y - 21*y. What is the remainder when 182 is divided by y?
27
Suppose 5*x = -4*r + 3099, 0 = 2*r - 5*r - 3*x + 2322. What is the remainder when r is divided by 112?
99
Let v be 59 - 30 - 1/(1/(-3)). Let m = v + -25. Let u = 11 + -4. Calculate the remainder when m is divided by u.
0
Let r = -287 - -310. Suppose -5*c = -r*c + 108. What is the remainder when c is divided by 1?
0
Let q(s) = 8*s**3 + 45*s**2 + 23*s + 249. Suppose 0*t - t = -26. What is the remainder when t is divided by q(-6)?
2
Let d be ((-42)/35)/((-24)/80). Suppose -d*b + i = -151, -14*i + 10*i = -20. What is the remainder when 245 is divided by b?
11
Suppose 12*a + 30130 = 30106. Let l(i) = 1 - 1 - 5*i. What is the remainder when 22 is divided by l(a)?
2
Suppose -835 + 787 = -12*r. Let d(l) = -5*l + 6 + 20 + 4*l. Calculate the remainder when d(r) is divided by 12.
10
Let y(o) = o**3 + 75*o + 152. What is the remainder when 3644 is divided by y(0)?
148
Let f(a) = -2*a + 55. Let r be f(25). Suppose -w + 4*w + 829 = 5*q, -q + 157 = -r*w. Calculate the remainder when q is divided by 58.
51
Suppose -63*c - 130 = -46*c - 759. What is the remainder when 58 is divided by c?
21
Let m = -57 - -65. Let a be 246/m + -3 + (-39)/(-12). Let z = -10 + a. Calculate the remainder when 62 is divided by z.
20
What is the remainder when 164/3526 + (-192464)/(-86) is divided by 553?
26
Let d = -575 + 654. Suppose -5*f + d = j + 6, -510 = -5*j + 4*f. What is the remainder when j is divided by 25?
23
Let m(y) = -34*y + 69. Let d(a) = -101*a + 207. Let l(u) = -3*d(u) + 8*m(u). Calculate the remainder when l(4) is divided by 15.
10
Let k(h) = -h - 2*h + 26 + 2*h. Let d be k(21). Suppose -d*x + 3*x = -12. Calculate the remainder when 26 is divided by x.
2
Suppose -1737*f - 14625 = -1776*f. Let x = -25 - -43. What is the remainder when f is divided by x?
15
Suppose 0 = 2*s + w - 76, -5*s + 0*s + 5*w = -190. What is the remainder when s is divided by (1/19)/(29/12673)?
15
Suppose 4*i = b - 408, 0 = -4*b + 2*b - 3*i + 761. Calculate the remainder when b is divided by 335.
53
Calculate the remainder when (435 - 18) + -1*3/1 is divided by 122.
48
Let n = 2 - -9. Let q = 102 - -81. Calculate the remainder when (-6)/(-8) - q/(-12) is divided by n.
5
Let c(m) = -18*m. Let o = 154 + 92. Suppose -45 = 3*h - o. What is the remainder when h is divided by c(-1)?
13
Suppose 2*d + v - 230 = 0, -3*d + 60 = -4*v - 274. Suppose -1628 = -125*m + d*m. Calculate the remainder when m is divided by 12.
4
Let p(a) = -3*a + 105. Let f be p(34). What is the remainder when 459 is divided by (21/(-9))/(f + (-300)/99)?
74
Let a be 18 + 1 + (-4 + 1)/(-3). Suppose -237 = 7*c - 12*c - 2*b, 5*b = -a. Calculate the remainder when 242 is divided by c.
46
Suppose -5*u = -20*u - 2265. Let q = u - -263. Suppose q = -0*d + 8*d. Calculate the remainder when 37 is divided by d.
9
Let p(t) = -t**3 - 7*t**2 - 7*t - 9. Let l be p(-6). Let z(v) = -6*v**3 + v**2 + 5*v - 7. Calculate the remainder when z(l) is divided by 51.
47
Let j(h) = h**2 - h + 14. Let q(s) = 9*s - 64. Let f be q(8). Suppose -f*y + 624 = 4*y. What is the remainder when y is divided by j(0)?
10
Let i(x) = 51*x**2 + 214*x + 1517. What is the remainder when i(-7) is divided by 837?
7
Let h = -384 - -388. Suppose -33 = -h*q + 303. What is the remainder when q is divided by 16?
4
Let s be (6/(-15))/((-2)/1490). Let g = s - 251. What is the remainder when 130 is divided by g?
36
Suppose 9*f = v - 148, v - 3*f - 148 - 48 = 0. What is the remainder when 16277 is divided by v?
217
Let j be 320/(-4)*18/(-30). Suppose z - 29