. Let b = p + 4. Let j(k) = -k**3 + 3*k**2 + 6*k - 5. What is the remainder when b is divided by j(4)?
1
Suppose -9 = -4*u + 3. Let l = u + -4. Let k(z) = -12*z - 1. Calculate the remainder when 20 is divided by k(l).
9
Let v = -24 + 71. Let q = -18 + v. What is the remainder when q is divided by 3/(-2) + 304/32?
5
Suppose -3*u + 7 + 96 = -5*f, 3*f = -4*u + 89. What is the remainder when u is divided by 14?
12
Suppose -42 = 3*v - 6*v. Let a = v - 1. Calculate the remainder when 24 is divided by a.
11
Let y = -15 - -25. What is the remainder when 17 is divided by y?
7
Let x = -2 - -7. Suppose 2*d + 58 = -0*j + x*j, 3*d = 2*j - 21. Calculate the remainder when 33 is divided by j.
9
Suppose -3*m - 5*r = -4, -m - 3*r - 4 = -0*r. Let n(v) = 10*v**2 - v + 1. What is the remainder when n(-1) is divided by m?
4
Let a = -28 + 46. Suppose -6 = 2*d, -3*d = -3*w + 184 - 73. Calculate the remainder when w is divided by a.
16
Let z(s) = -81*s - 21. Let t(v) = 16*v + 4. Let l(j) = -11*t(j) - 2*z(j). What is the remainder when 102 is divided by l(-2)?
24
Suppose 2*r - 4 = 2. Suppose 20 = r*t + 2. What is the remainder when ((-17)/(-3))/(2/6) is divided by t?
5
What is the remainder when ((-4)/(-5))/(16/680) is divided by 12?
10
Calculate the remainder when ((-426)/(-6))/(1 + 0) is divided by 19.
14
Suppose 4*d = -0 + 12. Suppose 29 = d*b - 4. Suppose 3*x - 61 = -2*o, -4*x + 2*o + 86 = -0*x. Calculate the remainder when x is divided by b.
10
Let n = 7 + 5. Let f be ((-378)/n)/(3/(-4)). Let w = -25 + f. Calculate the remainder when 49 is divided by w.
15
Suppose -9 = -5*v + 2*v. Suppose v*s - 92 = s. Calculate the remainder when s is divided by 16.
14
Suppose 5*n - 60 - 14 = -3*x, x = n + 22. What is the remainder when x is divided by 8?
7
Suppose -2*d = -59 - 31. What is the remainder when d is divided by 16?
13
Suppose 0*w = 2*w - 86. Calculate the remainder when w is divided by 11.
10
Let f = -34 - -54. Suppose 0 = 2*j + 2*j + 28. Let q = 14 + j. What is the remainder when f is divided by q?
6
Let o(g) = g**3 + 11*g**2 + 14*g - 11. What is the remainder when o(-8) is divided by 18?
15
Let u = 14 + -16. Calculate the remainder when 36 is divided by (0 + -1)/(u/38).
17
Suppose -3*v + 66 = -3. Suppose 2*q - 10*q + 536 = 0. Calculate the remainder when q is divided by v.
21
Suppose -4*b = -218 - 130. What is the remainder when b is divided by 30?
27
Let s(r) = r**3 - 3*r**2 + 3*r + 3. Let b(x) = -1 - 4*x**2 + x**3 + 4*x**2 + 4*x**2 - 4*x - 2*x. What is the remainder when b(-4) is divided by s(3)?
11
Suppose 0 = i - 3*u, -i - 5 = -0*u + 2*u. Let x = i + 6. Suppose r - k - 11 = 0, x*r + 4*k = -2*r + 19. Calculate the remainder when 12 is divided by r.
5
Suppose 2*d = d + 7. What is the remainder when d is divided by 3?
1
Let z = 40 - 23. Let m(j) = -j**2 - 6*j + 4. Let u be (-2)/(-4) - (-33)/(-6). Calculate the remainder when z is divided by m(u).
8
Let b(a) = a**2 - 8*a + 2. Suppose 0 = 29*g - 28*g - 1. What is the remainder when b(8) is divided by g?
0
Let v(w) be the first derivative of -w**4/4 - 2*w**3/3 - 4*w + 3. Calculate the remainder when v(-4) is divided by 10.
8
What is the remainder when 239 is divided by ((-2)/5)/((-4)/(-440)*-2)?
19
Let f be (-104)/(-40) - 4/(-10). Let p(l) = -l**2. Let n(x) = -x**2 - 4*x + 1. Let i(m) = n(m) - 4*p(m). What is the remainder when i(f) is divided by 6?
4
Suppose 12 = -z - 3*q + 52, -5*z - 2*q + 135 = 0. Calculate the remainder when z is divided by 9.
7
Let g(i) = i**2 + 5*i - 1. Let h be g(-6). What is the remainder when 462/15 - (-1)/h is divided by 11/(-3)*(-17 - -14)?
9
Let z(b) be the first derivative of -1/3*b**3 + 5*b + 2 - 1/2*b**2. What is the remainder when 13 is divided by z(0)?
3
Let r = -21 + 64. Calculate the remainder when r is divided by (11/2)/((4/(-16))/(-1)).
21
Let y be -1 - -60 - (-5 - -2). Let o = y + -44. Calculate the remainder when o is divided by 7.
4
Suppose -4*f = 4*h - 40, -3*f = 5*h + 33 - 87. Calculate the remainder when 34 is divided by h.
10
Suppose 3 = 5*g + 33. What is the remainder when 3 is divided by g/4*2*-1?
0
Suppose 0 = -0*d + d - 9. Calculate the remainder when (-428)/(-12) - 8/12 is divided by d.
8
Let i(l) = -3*l + 26. Let q(j) = j**3 + 4*j**2 - j - 1. Calculate the remainder when i(6) is divided by q(-4).
2
Let z(o) = o**3 + 6*o**2 + 2*o + 2. Calculate the remainder when z(-5) is divided by 5.
2
Suppose 0 = -7*w + 2*w + 5. Let o(p) = 17*p. What is the remainder when 33 is divided by o(w)?
16
Suppose -1 = -2*d + 9, 0 = -5*t - 4*d + 80. What is the remainder when 19 is divided by t?
7
Suppose p - 9 = -k, -3*k + 22 = 5*p - 13. Suppose 25 = -5*c, k*v + 3*c = 5*c + 100. Calculate the remainder when 71 is divided by v.
17
Let t = -111 + 114. Calculate the remainder when 6 is divided by t.
0
Let a be 3 - (1 - -2 - 3). Suppose -3*m + 2 = 2*h + m, -a*h = -3*m - 39. What is the remainder when 17 is divided by h?
8
Let g(s) = s**2 - 3*s - 6. Let q = -10 + 17. What is the remainder when g(q) is divided by ((-20)/(-5))/(2/4)?
6
Suppose 3*u - 31 = f, 0 = -4*u - 0*f - 4*f + 36. Calculate the remainder when 28 is divided by u.
8
Let m be ((-8)/(-20))/((-1)/(-10)). Suppose -4*d = 5*t + 4, m + 1 = t - 5*d. Calculate the remainder when 71 is divided by 4/(1/(t + 6)).
23
Suppose 4*j - j = 3. What is the remainder when j/((-1)/(-40 - -3)) is divided by 19?
18
Let k(o) = -o**3 + o**2 - o - 5. Let t be k(0). Let w(r) = -6*r. Suppose 2*i + 2*i = 64. What is the remainder when w(t) is divided by i?
14
Let q(z) = -z**3 + 5*z**2 - 3*z - 4. Let d be q(3). Let s be (-1)/1*(d + -6). Calculate the remainder when 7 is divided by 4 - s/2*0.
3
Suppose 0*n + 3*n = 78. Calculate the remainder when n is divided by 9.
8
Suppose -5*u - 208 = -4*r, 4*r + 122 - 330 = 3*u. Let i = r + -36. What is the remainder when i is divided by 6?
4
Suppose -4*p = -p + 9. Let c = -3 - p. What is the remainder when ((-2)/(-2) - c) + 15 is divided by 6?
4
Suppose -h = -0*h + 3*u + 3, 4*u - 9 = 3*h. Calculate the remainder when ((-10)/h)/(14/105) is divided by 14.
11
Let a(p) = -p + 1. What is the remainder when a(-5) is divided by 4?
2
Let a(g) = 2*g - 5. Let b be a(8). Suppose 75 = 14*c - b*c. Calculate the remainder when c is divided by 9.
7
Suppose 0 = -0*t - t + 10. Suppose -2*k + 3*o = -32, 0*o = 5*k - 3*o - 89. Calculate the remainder when k is divided by t.
9
What is the remainder when 45 + 8/((-8)/(-2)) + -3 is divided by 15?
14
Let f(x) = -x**2 - 4*x + 1. Let i be f(-3). Calculate the remainder when 9 is divided by (i/(-12))/((-2)/24).
1
Suppose -126 = 3*n - 6*n. What is the remainder when n is divided by 11?
9
Let z(h) = 3*h**2 + 5*h - 6. What is the remainder when z(-5) is divided by 25?
19
Let x be ((-6)/(-9))/((-2)/(-33)). Let g = 24 - x. What is the remainder when 51 is divided by g?
12
Let k be (-2 - -1)/(1/(-7)). Suppose 0*c = c - k. What is the remainder when 12 is divided by c?
5
Suppose x = -0 + 16. Let f = x + -4. What is the remainder when f is divided by 5?
2
Calculate the remainder when 981/15 - (-4)/(-10) is divided by 15.
5
Suppose -34 = 4*g - 90. Calculate the remainder when g is divided by 2*8/(-20)*-5.
2
Suppose 3*m - 1 = 2, 5*m = l - 12. Calculate the remainder when (-1 - -3)/(3/99) is divided by l.
15
Let g(o) = -o + 8. Suppose 0*q + q + 8 = 4*p, 3*p - 6 = -2*q. Calculate the remainder when g(5) is divided by p.
1
Let h = -43 - -22. Calculate the remainder when h/35 + 536/10 is divided by 2 + 8*4/2.
17
Let d = -140 - -172. What is the remainder when 156 is divided by d?
28
Let p(o) = o**3 - o**2 - o + 1. Let h be p(2). Suppose -h*j + j + 26 = 0. Let a(l) = -39*l**3 - 2*l**2 + 1. What is the remainder when a(-1) is divided by j?
12
What is the remainder when 14 is divided by 6 - 0 - 1*2?
2
Let d(o) = -o**3 + 4*o**2 - 3*o + 3. Suppose -q - 4*g = -5*q + 36, -3*g = -2*q + 23. What is the remainder when q is divided by d(3)?
1
Suppose -2*z + 0 = -2*y + 8, -4*z - 34 = 5*y. Suppose 4*u + 52 = 2*l, 2*u + 0*u = 4*l - 92. What is the remainder when l is divided by 8/z*(-6 + 0)?
6
Let f = 11 + -10. Calculate the remainder when 2 is divided by f.
0
Suppose 3*y - 8 = y - r, 3*y - 15 = -3*r. Suppose -n + y*t = 19, -3*t = 3*n - 0*n + 21. Calculate the remainder when 17 is divided by (-14)/(-35) + (-86)/n.
8
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