*p. Let k(g) = g + 30. Calculate the remainder when k(p) is divided by 3.
2
Let n(x) = -x**3 + 4*x**2 + 5*x - 6. Let h be n(4). What is the remainder when 56 is divided by (-6)/h + (-261)/(-21)?
8
Suppose -p - 11 = 4*o + 4, 5*o + 18 = -2*p. What is the remainder when (p - -2)/(-3) - -37 is divided by 1/(2 - 1) - -12?
10
Let k = -672 + 695. Calculate the remainder when k is divided by 13.
10
Suppose -14 = 3*i - 5, -j = i - 39. Let b be (-2)/3 + j/9. Suppose -3*g = 4*y - 2*g - 394, -b*y + 3*g + 402 = 0. What is the remainder when y is divided by 25?
24
Let h(c) = -48*c - 59. Calculate the remainder when h(-6) is divided by 77.
75
Let t = 341 + -334. Calculate the remainder when 11 is divided by t.
4
Let r be -1*2/(4/(-22)). Let q = 32 - r. Calculate the remainder when 62 is divided by q.
20
Calculate the remainder when 6/(-51) + (-252478)/(-1394) is divided by 7.
6
Suppose 14*a = 8*a + 108. What is the remainder when 61 is divided by a?
7
Let f(a) = -9*a + 649. Calculate the remainder when f(51) is divided by 48.
46
Let c(z) = -z + 71. What is the remainder when c(23) is divided by 29?
19
Let l = 13 - 20. Let r be ((-7)/2)/l*10. Suppose 2*y - 10 = -v, -y - 32 = -r*y + 4*v. What is the remainder when 15 is divided by y?
3
Suppose 0 = -34*r + 32*r + 10. Calculate the remainder when 1*2*142/4 is divided by (r + -2)*(-1 + 160/12).
34
Let u(o) = -11*o**2 + 29*o - 3. Calculate the remainder when 85 is divided by u(2).
8
Calculate the remainder when 49/((-3)/8*(-26)/39) is divided by 3.
1
Suppose 0*p + 6 = 2*p. Let a(z) = -z + 6. Let i be a(p). Suppose q + i*q = 40. Calculate the remainder when q is divided by 7.
3
Suppose 2*g = -245 + 427. Let y = -60 + 106. Calculate the remainder when g is divided by y.
45
Suppose -53 = -4*m + 3*m. Let j = 0 + m. Calculate the remainder when j is divided by 9.
8
Suppose u + 0*x - 5*x - 46 = 0, -5*u = x - 230. Let i(h) = -h**2 + 39*h + 89. What is the remainder when i(39) is divided by u?
43
Let z = -207 + 351. Calculate the remainder when z is divided by 29.
28
Let v(u) = 8*u + 22. Let k be v(9). Let x = k + -4. What is the remainder when x is divided by 31?
28
Let k = 6 + -4. Let f(t) = t**2 - 8*t. Let u be f(8). Let j = u + k. Calculate the remainder when j is divided by 1.
0
Let l be 22/(-110) - (-202)/10. What is the remainder when 111 is divided by (-2)/(-4)*116*10/l?
24
Let i(o) = o - 1. Let b be i(-3). Let l be 9/(-12)*b + -1. Suppose -l*z + 17 + 1 = 0. What is the remainder when 26 is divided by z?
8
Suppose 2*a - 9 = 1, 3 = 2*b + a. What is the remainder when (-106)/b + (3 - 6) is divided by 52?
51
Let h = 0 - -4. Suppose -16*u - h = -14*u. Let d = 48 - u. Calculate the remainder when d is divided by 17.
16
Let j = 25 + 0. Suppose -26*w + 5*w - 32*w + 424 = 0. What is the remainder when j is divided by w?
1
Suppose x + 20 = 80. Suppose h = 5*o + 3*h + 15, 4*o + 2*h + 12 = 0. What is the remainder when 21 is divided by (x/70)/(o/(-14))?
1
Suppose 0 = 4*u - 0*o + 4*o - 24, 0 = -5*o + 15. What is the remainder when 80 is divided by u?
2
Let b(q) = -q**3 + 11*q**2 - 10*q + 6. Suppose 5*j - 3*j + 3*d - 23 = 0, -5*d - 35 = -4*j. What is the remainder when 17 is divided by b(j)?
5
Calculate the remainder when 78 - 83 - (-992)/2 is divided by 99.
95
Suppose 3*v - 12 + 6 = 0. Calculate the remainder when 6 is divided by (v - 6)*(-2)/2.
2
What is the remainder when -33*3/(-9) + -6 is divided by 4?
1
Suppose -3*c + 41 - 8 = 0. Let q(b) = b**3 + b**2 + 78*b - 317. Calculate the remainder when q(4) is divided by c.
9
Let m be ((-3)/(-9) + -1)/((-2)/348). Let a = -63 + m. What is the remainder when a is divided by 11?
9
Suppose 21*b + 329 = 28*b. Calculate the remainder when 89 is divided by b.
42
Suppose 4*g = 2*q + 336, -3*g + 251 = 55*q - 56*q. What is the remainder when g is divided by 11?
6
Suppose q - 4*a = 32, 30*q - 3*a + 52 = 34*q. Let g be 26/7 + 6/21. Suppose -g*b - 3*n = -199, b + n = 6*n + 21. What is the remainder when b is divided by q?
14
Let s = -550 - -622. Suppose -2*f + 48 = 3*p - p, -4*p + 101 = 5*f. What is the remainder when s is divided by p?
15
Let b(a) = -26*a + 93. Calculate the remainder when b(0) is divided by 9.
3
Let o(b) = b**2 - 6*b - 33. Calculate the remainder when 234 is divided by o(14).
76
What is the remainder when ((-6192)/(-324))/((-2)/(-9)) is divided by 29?
28
Suppose 4*d - d = 0. Let k = -58 - -123. What is the remainder when k is divided by (3 + d)/((-6)/(-46))?
19
Let r(g) = 46*g**2 - 35*g - 69. What is the remainder when r(-2) is divided by 13?
3
Suppose -14*p + 12*p = 4. Calculate the remainder when 49 is divided by 13*(4 + -1 + p).
10
Suppose 80*x - 76*x = 12, -2*x = -5*s + 64. Calculate the remainder when 81 is divided by s.
11
Calculate the remainder when (16/(-9))/4 - 1900/(-225) is divided by 4.
0
Let q(l) = -l**3 + 9*l**2 - 2*l - 15. What is the remainder when q(8) is divided by 25?
8
Let r(d) be the second derivative of -d**4/12 - 11*d**3/6 + 23*d**2/2 - 8*d. Let g be r(-12). Calculate the remainder when (1 + 0)*517/g is divided by 12.
11
Suppose 4*o - 35 = 137. Suppose -6*b - o = -3*c - b, 0 = 2*c - 3*b - 28. Calculate the remainder when 43 is divided by c.
10
Suppose -3*q + 0*v + 1 = 2*v, 5*v + 9 = 4*q. Let x(m) = q + 2*m**2 - 8*m + m + 7*m. Calculate the remainder when 32 is divided by x(2).
5
Suppose 0 = d - v - v + 20, -8 = 2*v. Let x be (d/35)/(4/(-10)). Suppose -w + 51 = x*n, -2*n + 42 = 3*w + w. Calculate the remainder when 51 is divided by n.
24
Let p(o) = -o**2 + 21*o - 24. What is the remainder when 206 is divided by p(19)?
10
What is the remainder when 129 is divided by 1320/(-48)*(-2 + 4/10)?
41
Suppose -12 = 3*j, 2*j + 0*j = 2*v - 12. What is the remainder when 42 is divided by (v - -5) + (-8)/(-2)?
9
Let p(y) be the second derivative of -y**5/20 - y**3/6 - 3*y**2 - 4*y. Let h be p(0). What is the remainder when 33 is divided by h/(-24)*(-2 - -22)?
3
Suppose i + 11 - 37 = 4*m, -12 = 3*m + 3*i. What is the remainder when 23 is divided by (-45)/6*8/m?
3
Suppose 5*s = 5*w, 5*w - 3*w = s - 2. Let g be w/3 - (-24)/9. Let q(x) = 15*x - 1. Calculate the remainder when q(g) is divided by 8.
5
Let z(h) = 2*h**2 + 4*h - 5. What is the remainder when 39 is divided by z(3)?
14
Let w(s) = -s**3 - 12*s**2 - 23*s + 1. Calculate the remainder when w(-11) is divided by 45.
43
Let m(v) = v - 3. Let t = -1 + 4. Let h be m(t). Let j(i) = i**3 + 9. What is the remainder when 25 is divided by j(h)?
7
Let t = 259 + -239. What is the remainder when 297 is divided by t?
17
Let h = 16 - -62. Let o = -71 + h. Calculate the remainder when 12 is divided by o.
5
Suppose 513 = 10*v - 1167. Calculate the remainder when v is divided by 43.
39
Suppose -147 = -3*n - 4*o, 0 = n + 2*o - 74 + 27. Calculate the remainder when n is divided by 9.
8
Let t(l) = -l**2 + 150*l + 1605. Let h(u) = 2*u**3 - 4*u**2 + 2*u. Let x be h(2). Let b = x - 2. What is the remainder when t(-10) is divided by b?
1
Let t(b) = -b**3 + 7*b**2 - 6*b + 12. Let j be t(6). Calculate the remainder when (-4)/j*(-9 + -132) is divided by 7.
5
Suppose -2*i - 17 = -2*l + i, -4*i = -3*l + 24. Suppose -l*z = z. Suppose z = 2*k + 10, -39 = -a + 2*k + 2*k. What is the remainder when 36 is divided by a?
17
Let i = -8 + -27. Let w = -21 - i. Let c = 3 + w. Calculate the remainder when 32 is divided by c.
15
Let z(g) = 3*g**3 - 4*g - 7*g + 1 + 20*g - 4*g**3 - 4*g**2. Calculate the remainder when z(-7) is divided by 29.
27
Let l(o) be the third derivative of -3*o**4/8 - 19*o**3/3 + 53*o**2. Suppose 2*h - 30 = -0*h. Calculate the remainder when l(-9) is divided by h.
13
Suppose 0 = 2*z - 4*j - 68, 4*z + 3*j = -j + 136. Let g = -44 + z. Calculate the remainder when 96 is divided by (-12)/g*220/8.
30
Suppose -103*k + 6 = -101*k. Suppose 2*h - 20 = -3*t, -k*t - 4*h = t - 20. What is the remainder when 39 is divided by t?
9
Let q(u) = -u + 8. Let m be q(14). Let k(x) = x + 11. Let b be k(m). Suppose b*w + 10 = -5*i, 3*w + 2*i + 3 = 2. What is the remainder when 3 is divided by w?
0
Suppose 39 = 2*r - 3*c, -5*r + 4*c = -50 - 65. Let j(y) = y**3 - 25*y**2 - 53*y + 1. What is the remainder when j(r) is divided by 5?
3
Let z be -9 - -2 - (-1 - 0). Let j be 2*((-9)/z + 0). Suppose 14 = -j*r + 158. Calculate the remainder when r is divide