pose 2*y + x*s = -2*y + b, -y + 11 = 2*s. Calculate the remainder when 21 is divided by y.
10
Suppose 2*y + 1 = 3. Calculate the remainder when (-79)/2*(3 + 7)/(-5) is divided by 27 + (0 - 0/y).
25
Suppose -5*b = -5*y + 3115, 2*y - 940 = -4*b + 330. Calculate the remainder when y is divided by 90.
87
Suppose 23 = -5*o + 558. Let b = o + -57. Calculate the remainder when 198 is divided by b.
48
Suppose -96 - 30 = 14*p. Calculate the remainder when (-8)/32*(-240)/p*-6 is divided by 1/(2/7)*6.
19
Let m = 38 - 19. What is the remainder when 816 is divided by m?
18
Let z = -2435 - -2468. What is the remainder when 295 is divided by z?
31
Let y(l) = -l**3 - 3*l**2 - 4*l - 1. Let r be y(-2). Suppose 5*p - 40 = -c, r*p + 3 = 2*c - 25. Calculate the remainder when 59 is divided by c.
19
Suppose 4*j - 2*w = 392, -3*j + 0*w + 304 = -4*w. Suppose -j = -3*r + 36. What is the remainder when r is divided by 16?
12
Suppose -u = -4*u + 342. Suppose 4*m - u = 38. What is the remainder when m is divided by 14?
10
Suppose 4*c - 10 = -c. Suppose 5*i = 4*h - 63, -30 = -3*h - i - i. What is the remainder when h is divided by c?
0
Let j be 23/(1/(-3 - 0)). Suppose 48 = 2*z + 2*z. Calculate the remainder when ((-32)/24)/(1/j*2) is divided by z.
10
Let k = -18 - -33. Suppose 10 = 5*h, 2*d - 5*d = 3*h - k. Suppose 237 = -3*q + 8*q + 3*u, 123 = d*q - 3*u. What is the remainder when q is divided by 16?
13
Let f = 3720 - 2541. What is the remainder when f is divided by 10?
9
Suppose 3*d - 3*s - 563 = s, 3*s + 746 = 4*d. What is the remainder when (2*d/(-40))/(2/(-8)) is divided by 8?
5
Let g(u) = u**3 - 31*u**2 + 60*u - 17. What is the remainder when 119 is divided by g(29)?
37
Suppose 5*z - 5 = 3*a + 18, -z = -2*a - 6. Let g(p) = -10*p - 2*p + 0*p - 3*p + 2. What is the remainder when 100 is divided by g(a)?
15
Suppose 4*y - 5*n - 24 - 17 = 0, 2*n - 6 = -4*y. Suppose 2*j - y*j - 42 = 0. Let a = j + 38. Calculate the remainder when 67 is divided by a.
16
Let u = 329 - 307. Let z = 14 - 2. Calculate the remainder when u is divided by z.
10
Let p(m) be the third derivative of m**5/60 - 5*m**4/24 + m**3 + 21*m**2. Calculate the remainder when 35 is divided by p(6).
11
Suppose -39 = -s + 2*q + 18, 4*s + 2*q - 188 = 0. Let p = 74 + -57. What is the remainder when s is divided by p?
15
Suppose -17*x - 56 = -16*x. Calculate the remainder when 25 is divided by (96/x)/(4/(-14)).
1
Let o(b) = -21*b**3 + 11*b**2 + 18*b + 7. Calculate the remainder when o(-2) is divided by 101.
82
Suppose 6*s = -113 + 35. Let x(i) = -i**3 - 12*i**2 + 10*i - 10. What is the remainder when 85 is divided by x(s)?
27
Let h(d) = -5*d + 13. Let c be (1*(-3 - -3))/(-1). Calculate the remainder when 47 is divided by h(c).
8
Suppose -3*k - 5*x = -2*k - 48, 3*x = 9. Calculate the remainder when k is divided by 6.
3
Suppose -122*q + 125*q = 81. What is the remainder when 484 is divided by q?
25
Let l = 119 - 83. Suppose -4*i + 376 = 3*w, i + 203 + 393 = 5*w. Suppose 0*k - w = -k - 5*p, 0 = -3*k - 5*p + 330. What is the remainder when k is divided by l?
33
Let j = -13 + 24. Let w be 7/(-1)*(-8)/2. Suppose 0 = -l + w - j. What is the remainder when 32 is divided by l?
15
Suppose g + m - 68 = -28, -4*m = 2*g - 84. Calculate the remainder when 222 is divided by g.
32
Let z be 2 + (-1 - -2) - 0. Suppose -44 = -z*n - 11. What is the remainder when 38 is divided by n?
5
Suppose b - 2*b = -5. Suppose -b*w + 72 = 222. Let f = -21 - w. What is the remainder when 34 is divided by f?
7
Let n(z) = z**2 + 5*z + 1. Let g be n(-11). Let u = 147 - g. Suppose -2*t - u = p - 3*p, 3*p - t = 124. What is the remainder when p is divided by 15?
12
Let p(w) = w**3 + 7*w**2 - 10*w - 9. Let t(u) = u**3 - 4*u**2 + 3*u. What is the remainder when t(5) is divided by p(-8)?
5
Suppose 0 = -3*a + 152 - 11. Let h(b) be the first derivative of 4*b**3/3 - 3*b**2 + 6*b + 7. What is the remainder when a is divided by h(3)?
23
Let j = -253 - -315. What is the remainder when 158 is divided by j?
34
Let t(j) = -4*j**3 - 4*j**2 - 3*j. Let v be t(-2). Suppose 0 = 5*s + 7 - 37. Calculate the remainder when 42 is divided by (v/3)/(4/s).
9
Let w(v) = -v - 1 - 3 + 8*v + 10*v**2 - 2*v. What is the remainder when 20 is divided by w(1)?
9
Suppose -191 + 11 = -3*t. Suppose 2*j + 2*j = t. What is the remainder when 372/9 + (-2)/(-3) is divided by j?
12
Let h(i) = 54*i**2 - 9*i - 6. Calculate the remainder when h(-5) is divided by 107.
105
Let c = 1615 + -802. What is the remainder when c is divided by 43?
39
Suppose -107 = -56*s + 55*s. What is the remainder when 641 is divided by s?
106
Let f(t) = 23*t + 107. What is the remainder when f(13) is divided by 11?
10
Let u(x) = 34*x - 2192. Suppose -209 = -5*a - 34. Calculate the remainder when a is divided by u(65).
17
Let x be (-583)/(-159) + (-4)/6*1. Calculate the remainder when 11 is divided by (-7)/(-3) + 2/x.
2
What is the remainder when (-64)/(-12)*(-2)/((-40)/75) is divided by 13?
7
Suppose 4*o = -o + 25. Let n = 771 + -775. Calculate the remainder when 14 is divided by (o - (-4)/n)*1.
2
Let m = 1029 - 960. Calculate the remainder when m is divided by 25.
19
Suppose -l - 4*v + 9 = 19, -5*v = 20. Suppose 4*o - 70 = -o. What is the remainder when o is divided by l?
2
Suppose -107*n = -94*n - 39. What is the remainder when n is divided by 1?
0
Suppose -13*m + 16*u - 14*u + 204 = 0, 3*m - 56 = -4*u. Let d(q) = 6*q**3 + 2*q**2 + 3*q - 3. Calculate the remainder when d(2) is divided by m.
11
Suppose -2*s = -0*s + 8. Let d be ((-10)/s)/(-5)*0. Suppose -g + 2*i = d, -g - 2*i = -i - 6. What is the remainder when 7 is divided by g?
3
Suppose -4*k + w = -1570, 0 = -5*w + 9 + 1. Suppose -71 - k = -4*o. Calculate the remainder when o is divided by 41.
34
Suppose -72*w + 77*w - 515 = 0. What is the remainder when w is divided by 29?
16
Let n(m) = 5*m**2 - 2*m - 3. Suppose 0 = 2*j - 6*j - 4*y - 16, 0 = -j + 3*y + 4. Let h = -14 + 25. Calculate the remainder when n(j) is divided by h.
10
Suppose -12*p + 10*p - 4 = 0. Calculate the remainder when 36 is divided by p/4 + (-656)/(-32).
16
Calculate the remainder when ((-3)/9)/((-3)/1017) is divided by 40.
33
What is the remainder when 53 is divided by 3/2*522/27?
24
Let d(n) = -107*n + 17. What is the remainder when d(-1) is divided by 65?
59
Let v(m) = -m**3 + 33*m**2 + 11*m - 78. What is the remainder when v(33) is divided by 91?
12
Let n = 54 - 31. Suppose 17 + n = 2*b. Calculate the remainder when 58 is divided by b.
18
Suppose -z + 47 = -4*j, -2*z + 9 = -j + z. Let o(x) = -x**3 + 6*x**2 + 3*x + 3. Calculate the remainder when o(6) is divided by (-35)/(-4) + j/16.
5
Let q(w) = -6*w**3 - 2*w**2 + 2*w + 2. Let c be q(-2). Suppose 39*x = c*x + 38. What is the remainder when x is divided by 8?
6
Let x(d) = 2*d**2 - 12*d - 3. Let b be x(-3). Suppose s - 6 = z, 3*z - b = -4*s - 2*z. Calculate the remainder when 1*(23 - (-2 - -1)) is divided by s.
6
Let x(b) = -b**2 - 8*b + 12. What is the remainder when ((-12)/(-8))/(((-27)/642)/(-3)) is divided by x(-5)?
26
Let c = -23 + 25. Let x(t) be the third derivative of t**5/15 - t**4/8 + t**3/6 - t**2. Calculate the remainder when 20 is divided by x(c).
9
Let n be 0 + ((0 - -3) + -3)/(-1). What is the remainder when 94 is divided by (-30)/18*-15 - (n + 1)?
22
Let a(s) = -s**2 - 4*s - 4. Let k be a(-6). Let t = 47 + k. Calculate the remainder when t is divided by 18.
13
Suppose -6*d + 4*z - 206 = -7*d, 0 = -2*d - 5*z + 421. Calculate the remainder when d is divided by 11.
9
Let s(p) be the second derivative of -p**3/2 + 25*p**2/2 - 23*p. Calculate the remainder when s(0) is divided by 17.
8
Let j(k) = -4*k - 12. Let d(m) = 4*m**2 - 8*m - 63 + 68 + m. What is the remainder when d(5) is divided by j(-9)?
22
Calculate the remainder when 1046 is divided by -4 + 160/45 - 1370/(-45).
26
Let m = 806 + -766. Calculate the remainder when m is divided by 21.
19
Suppose -19*q - 1512 = -28*q. Suppose -2*c - 6*i = -4*i - 72, -5*c + 164 = -3*i. What is the remainder when q is divided by c?
32
Let z(t) = -t**3 - 8*t**2 + 3*t - 21. Calculate the remainder when 130 is divided by z(-9).
31
Let f = 2 + 0. Suppose 0 = q - 16 + 22. Let u(i) = -i + 1. Calculate the remainder when u(q) is divided by f.
1
Suppose -24*h = -28*h + 68. Let d = h + -11. What i