2, 4*l + 5*y - 16 = 0. Let f be (-1)/(-4) + 30/8. What is the remainder when 17 is divided by (l - (-138)/24) + 21/f?
2
Suppose 14 = 4*n - 3*q + 5*q, -15 = -5*q. Let t be -60*1 - 12/4 - n. Let s = t + 106. Calculate the remainder when s is divided by 15.
11
Suppose 84*y = 24686 - 21143 + 53577. Calculate the remainder when 2042 is divided by y.
2
Let n(v) = -v**3 - v**2 + 6*v + 6. What is the remainder when 183 is divided by n(-3)?
3
Let n = -591 - -641. Suppose -891*t + 888*t = -51. Calculate the remainder when n is divided by t.
16
Suppose 45*a - 47*a = 2*h - 1474, 0 = 2*h - 4*a - 1444. Calculate the remainder when h is divided by 105.
102
Suppose -14997 - 16155 = -48*y. Calculate the remainder when y is divided by 10.
9
Suppose 0 = -4*r - 24, 0 = 2*l + 4*r - 281 + 87. Calculate the remainder when 316 is divided by l.
98
Suppose -23*r + 298 = 91. Let w(p) = p**3 - 5*p**2 - 16*p + 11. What is the remainder when w(r) is divided by 39?
35
Suppose -12*c + 16*c + 42 = 3*k, 3*c - 31 = -4*k. Let w(f) = f**3 + 8*f**2 + 9*f + 4. What is the remainder when w(-6) is divided by k?
2
Let o(r) = 18*r + 7. Let a be o(6). Let j = 76 - a. Let m = -28 - j. Calculate the remainder when m is divided by 3.
2
Suppose k + 4*b = 18, -3*k + b - 23 + 77 = 0. Let x(z) = 2*z**2 - 3*z + 1. What is the remainder when k is divided by x(3)?
8
Suppose 2*f + 233 - 17 = 2*m, 0 = -4*m - 4*f + 432. What is the remainder when m is divided by 45?
18
Suppose 42*y + 32*y - 3426 = -984. Calculate the remainder when 1778 is divided by y.
29
Let j = -6055 - -6649. What is the remainder when j is divided by 125?
94
Let t(q) = -6*q + 23*q - 11*q + 4*q - 99. Suppose 0 = 5*n - 2*n - 18. What is the remainder when t(11) is divided by n?
5
Let h(w) = -2*w + 4. Let i be h(-1). Let d be 4/i - 18/27. Suppose 5*j = -0*j + 2*l + 51, d = -j - l + 6. What is the remainder when 33 is divided by j?
6
Let w(a) = 23*a + 2575. Calculate the remainder when 9611 is divided by w(-111).
19
Let u(x) = 665*x - 566. What is the remainder when 499 is divided by u(1)?
4
Suppose -508 = -2*x + 2*v - 178, -5*x + 3*v = -817. What is the remainder when x is divided by 20?
1
Suppose 2*b + 4*d + 16 - 2 = 0, -5*d = 3*b + 16. Suppose 4*q - 36 = 2*q. What is the remainder when q is divided by 20/b + (8/(-2))/(-12)?
4
Suppose -44 = 2*u - 5*o + 13, -4*o - 60 = 5*u. What is the remainder when (u + 0)*(-26)/8*2 is divided by 35?
34
Suppose -5*d = 2*p - 13940, 4*d + p - 6780 - 4375 = 0. What is the remainder when d is divided by 278?
10
Let j = -386 + 491. Suppose 223 = 4*l + 11. What is the remainder when j is divided by l?
52
Let r(o) = 44*o. Calculate the remainder when r(11) is divided by 18.
16
Let p be (-105)/5*((-4)/4 + 0). Suppose p*j = 26*j + 15. Let k(y) = -2*y**3 - 4*y**2 + 2*y + 3. What is the remainder when 56 is divided by k(j)?
11
Calculate the remainder when 357 is divided by 2*(1/11 - 50801/(-814)).
107
Let l(b) = -2*b**3 - 7*b**2 + 2*b + 2. Suppose 265*c = 278*c + 91. What is the remainder when l(c) is divided by 9?
7
Let s(h) = 10*h - 152. Let k = -331 - -342. Calculate the remainder when k is divided by s(16).
3
Suppose 4*m - 8 = 4*o - 120, 0 = -3*o + 2*m + 89. Let i(c) = -7*c - 2. What is the remainder when o is divided by i(-3)?
14
Let n = -310 - -570. Suppose 0 = 20*y - 0*y - n. Calculate the remainder when 15 is divided by y.
2
Let m = -147 - 145. Let y = -198 - m. What is the remainder when y is divided by 49?
45
Suppose 106*d + 872 - 1859 = 8553. Calculate the remainder when 134 is divided by d.
44
Let q(l) = 204*l + 3052. What is the remainder when q(-8) is divided by 94?
10
Suppose 3*p + 4*a = 17, 2*p - 3*p - 5*a = -2. What is the remainder when -2*(-15 - (-1342)/88)*-20 is divided by p?
3
Let s be (20/(-6) - (-2)/(-3)) + -1. Let z(k) = -k**2 - 13*k - 5. Suppose 5*q + 0*q = 0, 0 = 3*g + 4*q - 411. Calculate the remainder when g is divided by z(s).
32
Let z(j) = 6*j + 0 + 9*j**2 - 3 - 4. What is the remainder when 530 is divided by z(2)?
38
Let j = 5328 - 5025. Calculate the remainder when j is divided by 161.
142
Calculate the remainder when 760/(-1368) + (-1616)/(-9) is divided by 60.
59
Let z(k) = -13*k**2 - 2*k. Let s be z(-2). Calculate the remainder when s/36 - (-296)/6 is divided by 25.
23
Let t(k) = -2*k + 4. Let s(c) = 6*c + 66. Let v(d) = -s(d) - 8*t(d). What is the remainder when 217 is divided by v(12)?
19
Let i = 124 - 57. Let p = 62 + -19. Suppose 0 = -2*j - 3*v + p, 5*j - 4*v + 2*v = 60. Calculate the remainder when i is divided by j.
11
Let i = -1206 + 1273. What is the remainder when 163 is divided by i?
29
Suppose 4*i + 380 = 2*f, f + 17 = -3*i - 263. Calculate the remainder when (-47)/i*(452 - 0) is divided by 21.
16
Let y(v) = -45 - 61 - 7*v + 183 - 54. Calculate the remainder when y(2) is divided by 9.
0
Suppose 21421 + 7872 - 873 = 196*w. Calculate the remainder when w is divided by 15.
10
Suppose 0 = 11*r - 55 - 33. Let f(d) = -3*d**2 - d - 3. Let m be f(3). Let n = 38 - m. What is the remainder when n is divided by r?
7
Suppose -505*z + 974*z + 724868 = 515*z. What is the remainder when z is divided by 51?
50
Suppose 33*f + 38*f = -38*f + 11663. What is the remainder when f is divided by 100?
7
Let r = -56 - -63. Let u(o) be the second derivative of o**5/20 + 5*o**4/6 + 5*o**3/6 - 6*o**2 - 8*o. Calculate the remainder when u(-9) is divided by r.
3
Suppose 4*m = -6*x + 112, 2*m - 2 = 2*x + 34. Calculate the remainder when 25 is divided by m.
3
Suppose -175 = -7*q - 301. What is the remainder when 131 is divided by 12/486*-9 - 202/q?
10
Suppose 76*i - 2 = 75*i. Suppose 880 = 4*h - 4*u, -h + i*u + 192 = -25. Let l(n) = -44*n**3 + 2*n**2 - 1. Calculate the remainder when h is divided by l(-1).
43
Suppose 282*o = 259*o + 16445. What is the remainder when 765 is divided by o?
50
Suppose 4*q + 3*o + 28 = 2*o, o + 4 = 0. Let p be 3 + 4/q*-69. Let f = -47 + p. What is the remainder when 5 is divided by f?
1
Suppose -4*j - 5*w + 173 = -499, j = 3*w + 185. Calculate the remainder when 6400 is divided by j.
172
Let l(y) = 4*y**2 + 3*y + 6. Suppose -4809*b + 4864*b = 222 + 3408. Calculate the remainder when b is divided by l(-4).
8
Suppose -19*c + 498 = 365. Let p = 13 + -8. Suppose 0*f + 60 = 3*y + f, 0 = p*f. Calculate the remainder when y is divided by c.
6
Suppose 0 = -60*y + 145*y - 85000. What is the remainder when y is divided by 166?
4
Let f = 159 + -159. Suppose 2*z - 2*x - 54 = f, -2*z + 6*z + x - 98 = 0. Calculate the remainder when z is divided by 15.
10
Suppose 0 = -2*k - 5*i + 27, k = 2*i + 4 + 5. Let d = k - -29. What is the remainder when 75 is divided by d?
35
Let w(d) = d + 3. Let s(z) = -3. Let l(o) = 3*s(o) + 4*w(o). Let r be (1 + (-12)/20)/((-5)/(-75)). What is the remainder when l(r) is divided by 14?
13
Suppose -4*f - s = -164, 4*f + 0*s - 176 = -4*s. Let l = -75 + 151. Calculate the remainder when l is divided by f.
36
Let n(y) = -161*y + 3070. Let z(j) = -10*j - 1. Let b(d) = -3*d. Let i(q) = -8*b(q) + 3*z(q). Calculate the remainder when i(-4) is divided by n(19).
10
Let d(c) = c**2 - 9*c + 12. Let v be d(8). Suppose 35 = v*s - 49. What is the remainder when (-4)/14 + 867/21 is divided by s?
20
Suppose 5*r = -4*n - 16 + 69, 28 = r - 5*n. Calculate the remainder when 558400/(-8376)*18/(-20) is divided by r.
8
Let b(y) = 9*y + 89. Suppose -6 + 11 = -h, -3*z + 3*h = 12. Calculate the remainder when 51 is divided by b(z).
3
Suppose 0 = 322*t + 46988 - 148418. What is the remainder when t is divided by 90?
45
Let n(q) = 4*q - 53 + 3*q + 49. Let y = 31 + -28. What is the remainder when 101 is divided by n(y)?
16
Suppose 0 = -4*k + 6*k - 2, -5*b + 5*k = -175. Suppose -6183 - 5745 = -106*y + 11020 + 3340. What is the remainder when y is divided by b?
32
Let n(k) be the first derivative of 13*k**2 - 9*k + 33. Calculate the remainder when 121 is divided by n(2).
35
Suppose 0 = -4*v - 4*v + 2880. Suppose m - v = -4*j, -3*j = -4*j - m + 93. Let d = j - 57. What is the remainder when d is divided by 11?
10
What is the remainder when (-1)/((-66)/69306) + (-13)/143 is divided by 75?
0
Suppose 0 = 2*u + 4*l - 34, -12 = -4*u - 3*l + 81. Let d = -30947 + 30982. Calculate the remainder when d is divided by u.
8
Let d = -58 - -64. Calculate the remainder when (-262)/(-12) + 1/d