.
2
Suppose 0 = b - 6*b - 3*z + 25, -3*z = 0. Suppose -2*p = 5*m - 65, 140 = b*p + 2*m + 9. Calculate the remainder when 122 is divided by p.
22
Suppose -536 = 4*f - 572. What is the remainder when f is divided by 1?
0
Let x = 27 - 30. What is the remainder when 41 is divided by 105/9 - (-2)/x?
8
Let g(a) = -2*a + 5. Let s be g(0). Suppose r - 32 = -s. Calculate the remainder when 51 is divided by r.
24
Let m = -5 - -29. Let a = -482 + 1042. What is the remainder when 1/(-3) - a/(-6) is divided by m?
21
Let j = -21 - -15. Let p(x) = x**2 + 4*x + 16. What is the remainder when 137 is divided by p(j)?
25
Let q(p) be the second derivative of 2*p**3/3 - 8*p**2 + 6*p. Let r be q(7). Suppose 0*x = -x + r. What is the remainder when 23 is divided by x?
11
Suppose 5*j + 43 = 2*w, 2*w - 44 = 3*j + j. Suppose 5*v - i = -2 + 25, 3*i = -5*v + 31. Suppose v*l = -w + 74. What is the remainder when 38 is divided by l?
8
Suppose 15 = 2*m + 5*q, -4*m + 75 = -m - 3*q. Calculate the remainder when (-969)/(-12) + 5/m is divided by 17.
13
Suppose 3*l + l = -3*b - 3, 3*b + 3*l = 0. Suppose -2*i + 14 = -2*n, b*i - 7*i + n = -16. Calculate the remainder when (8 - -1)/((-6)/(-8)) is divided by i.
0
Let x(m) = 2*m + 104. Calculate the remainder when x(-29) is divided by 34.
12
Let r(i) = i**2 - 2*i + 1. Suppose -5*n + s + 11 = 0, n - 4*n - s + 5 = 0. Calculate the remainder when r(n) is divided by 1.
0
Let a(f) = f + 9. Let t be a(5). Calculate the remainder when (-35)/t*408/(-10) is divided by 26.
24
Let y = -90 + 91. Let r(s) = 15*s + 1. What is the remainder when 29 is divided by r(y)?
13
Let r(m) = m**2 - 2*m - 4. Let v = 4 + -4. Suppose -4 = o - v*o. Calculate the remainder when r(o) is divided by 7.
6
Let g = 35 - -5. Suppose 3*r - 2*n = 41, -2*r - 5*n = -0*r - g. Calculate the remainder when 49 is divided by r.
4
Suppose 20 = 2*t + 6. Calculate the remainder when 329/28 + (-2)/(-4)*(-19)/(-38) is divided by t.
5
Let h = 30 + -19. Let i(a) = a**2 - 5*a + 3. Let s(z) = -2*z**2 + 9*z - 7. Let q(v) = -5*i(v) - 3*s(v). Calculate the remainder when q(-5) is divided by h.
8
Let d(j) = -j**3 - 60 + 15*j**2 + 54 - 20*j - 2*j. Calculate the remainder when 275 is divided by d(13).
45
Suppose 4*d = -4*m + 200, -3*d - 25 = -34. Calculate the remainder when 516 is divided by m.
46
Suppose 3*a - 34 = -3*p + 5*p, 5*p = 4*a - 36. Calculate the remainder when 24 is divided by a.
10
Let k(s) = -2*s - 13. Let t be k(-8). Suppose -53 - 34 = -t*c. Calculate the remainder when c is divided by 16.
13
Let j = -32 + 83. Calculate the remainder when (3 - (-3 + 10 + -3)) + j is divided by 26.
24
Suppose 16*v = 15*v + 24. What is the remainder when 451 is divided by v?
19
Let m = 0 + 2. Let v = 4 - m. Suppose 2*w = 6 - 0. Calculate the remainder when w is divided by v.
1
Let c(n) = -n**2 + 8. Let x be c(0). Suppose 3*k - x = 1. Suppose p + p - 14 = -3*o, 10 = 4*p - k*o. Calculate the remainder when 9 is divided by p.
1
Suppose f - s + 5 = 2*f, -18 = -4*f - 2*s. Suppose -f*b = 6*b - 70. Calculate the remainder when 11 is divided by b.
4
Suppose 2*r + 8 - 38 = 0. Suppose -3*o + 0*o + 4*s - 1042 = 0, -2*o - 5*s - 664 = 0. What is the remainder when (4/8)/((-3)/o) is divided by r?
12
Let k(y) = -1 - 3*y - 2*y**2 + 0*y + 3*y**2. Let n(f) = 2*f**2 + 28*f + 145. What is the remainder when n(-7) is divided by k(-3)?
13
Let g = -4957 + 5007. Suppose -2*i + 5*i - 41 = -2*w, -4*i + 92 = 4*w. What is the remainder when g is divided by w?
22
Let q = -648 - -1094. What is the remainder when q is divided by 56?
54
Calculate the remainder when 20 is divided by (9/2)/((-29)/(-58)).
2
Suppose 3*u = 33 + 36. Calculate the remainder when 36 is divided by (-3)/(-6)*-4 + u + -1.
16
Calculate the remainder when 0 - -2 - (-295 + -5 + -1) is divided by 22.
17
Let o(l) = -2*l**3 + 31*l**2 - 9*l + 31. What is the remainder when o(15) is divided by 12?
1
Let f(h) = h**2 - 29*h + 132. What is the remainder when f(28) is divided by 10?
4
Suppose 9*c - 3834 - 9 = 0. Suppose -5*x = -c - 428. Calculate the remainder when x is divided by 29.
26
Suppose -5*v + 8 = f + 4, -136 = -5*f + 4*v. What is the remainder when f is divided by -1 - 3/(9/(-30))?
6
Let b(o) = -o**3 - o. Let h(u) = 4*u**3 + 9*u**2 + 9*u + 3. Let f(y) = 3*b(y) + h(y). What is the remainder when f(-4) is divided by 0 + (-4)/(-1) + 11?
14
Suppose 0 = o + 4*o - 200. Suppose -20 = 2*b - o. Let j(n) = 2*n**2 + 4*n - 3. Calculate the remainder when j(3) is divided by b.
7
Let a = 8 + -10. Let t be a*(2 - 3) + 24. Calculate the remainder when 20 is divided by (-4)/t - (-372)/52.
6
Let z(y) = -y**3 + 76*y**2 + 164*y - 541. Suppose -4*b + 18 = -2. Suppose -b*p - 2 = -87. What is the remainder when z(78) is divided by p?
15
Suppose 914 = 2*x + 4*f, -342*x + 4*f + 874 = -340*x. What is the remainder when x is divided by 15?
12
Let d = 30 + 4. Suppose g + 4*n + d = 100, -2 = -2*n. Suppose -562 = -6*z - 466. What is the remainder when g is divided by z?
14
Suppose -46*k + 50*k = 404. Calculate the remainder when k is divided by 21.
17
Suppose 356 = -3*c - c. Let t(j) = 6*j. Let i be t(-4). Let z = i - c. What is the remainder when z is divided by 17?
14
Let o(s) = -s**3 + 31*s - 5. What is the remainder when 57 is divided by o(5)?
7
Suppose 28*p - 26*p = 226. What is the remainder when p is divided by 57?
56
Let a(g) = g**2 + 4*g - 8. Let c be a(-10). Suppose -8*n = -4*n - c. What is the remainder when 101 is divided by n/26*52*1?
23
Let n(q) be the first derivative of -q**4/4 + 10*q**3/3 - 3*q**2 - 12*q + 27. Calculate the remainder when n(9) is divided by 3.
0
Let i(g) = -25*g - 102. What is the remainder when i(-8) is divided by 3?
2
What is the remainder when 370 is divided by 34*(-13 - 297/(-22))?
13
Let m(p) = -2*p**3 - 3*p**2 + p - 7. Let x(r) = -2*r + 7. Let j be x(5). Calculate the remainder when m(j) is divided by 9.
8
Let m(i) = i**2 + 11*i + 5. Let p be m(-13). Let w = p - 29. Suppose w*h - 5*h + 24 = 0. What is the remainder when 28 is divided by h?
4
Let z = 57 + -41. Suppose 5*i + z = 101. Suppose -3*s + 1 = -i. What is the remainder when 17 is divided by s?
5
Let i be (-154)/(-55) - (-1)/5. Suppose -2*l - 46 = -i*x, 80 = 5*x + 3*l - 7*l. What is the remainder when 23 is divided by x?
11
Let p be 12/(-4) - 7/((-28)/60). Let q(i) = -i**3 + 14*i**2 - 12*i. Calculate the remainder when q(p) is divided by 29.
28
Let a = 176 - 169. What is the remainder when 47 is divided by a?
5
Let w = -407 - -1245. What is the remainder when w is divided by 15?
13
Let l = -8 - -51. Calculate the remainder when 465 is divided by l.
35
Suppose -2*k + 2 = 0, -2*t - 3*t = -4*k - 6. Calculate the remainder when 3 is divided by t.
1
Let w = -1 - -6. Suppose 15 = 2*u + 3*z, 0 = 5*u - 4*u + z - 5. Suppose u = b - w - 10. Calculate the remainder when 42 is divided by b.
12
Let w(o) be the first derivative of 6*o**2 + 15*o + 15. Calculate the remainder when w(5) is divided by 26.
23
Suppose 2*v = 3*v - 85. Let o be v/(-3) - (-8)/(-12). Let s = o + 48. Calculate the remainder when s is divided by 7.
5
Let i(u) = u**2 - 4*u + 34. What is the remainder when i(5) is divided by 32?
7
Suppose -3*d + 0*f = 3*f - 267, d - 2*f - 89 = 0. Calculate the remainder when d is divided by 25.
14
Suppose -92 = -3*w + 4*b, -b - 2 = 3. Let o be (-247)/3 - 60/90. Let z = 178 + o. Calculate the remainder when z is divided by w.
23
Suppose -2 = 2*d, 37 = 3*o + 4*d - 19. What is the remainder when 117 is divided by o?
17
Suppose 2*x + 4 = -5*q + 2*q, -x + 8 = 4*q. Let o = x + 56. Calculate the remainder when 191 is divided by o.
47
Let k = 580 + -565. What is the remainder when 24 is divided by k?
9
Suppose -7*g = -3*t - 11*g + 38, 5*t = -g + 35. What is the remainder when 89 is divided by t?
5
Let w(z) = -z**3 + 6*z**2 - 3*z - 4. Let g be w(4). Suppose 12*k - 102 = -6. Calculate the remainder when k is divided by 2/(-6) - g/(-3).
3
Suppose -5*k = 34 - 9. Calculate the remainder when ((-104)/k)/(50/125) is divided by 14.
10
Suppose -4*r + 4*g = -164, 4*g = 2*r - 52 - 28. Let y = -316 + 331. Calculate the remainder when r is divided by y.
12
Suppose 189 = 4*w + 49. Suppose 2 - w = -u. Let f = 51 - u. What is the remainder when 71 is divided by f?
17
Let n = 155 + -87. Suppose 19 + 15 = i - 4*z, n = 2*i 