10. Let j(l) = -4 + 16*l**2 - l**2 + r + 5. Calculate the remainder when 47 is divided by j(-1).
15
Suppose 5*w = n + 11, -5*w + 5 = -3*w - n. Let a(s) = 15*s**3 - 2*s**2 + 3*s - 3. What is the remainder when a(w) is divided by 60?
55
Suppose -15 = -2*b + 3*w, -3*b = w + w - 3. Let n(z) = z**3 - 3*z + 9. Let a = -7 + 14. Calculate the remainder when n(b) is divided by a.
6
Let m = 286 - 142. Suppose -5*v + 143 = 2*q - m, 3*q = v - 71. What is the remainder when v is divided by 20?
19
Let m(c) = c**3 + 9*c**2 + 3*c - 10. What is the remainder when ((-472)/12)/(1 - (-15)/(-9)) is divided by m(-8)?
29
Let p = 148 + -112. What is the remainder when 80 is divided by p?
8
Let g = 0 + 4. Suppose 3*r = g*w - 219, 2*w + 5*r - 43 = 86. What is the remainder when w is divided by 6/(-12)*352/(-12) - 1/(-3)?
12
Let u be -4*(1/(-2))/(6/51). Suppose -n + 7*d + u = 3*d, -4*n = -3*d - 120. Calculate the remainder when 196 is divided by n.
31
Suppose -2*p - q = -p + 38, -70 = 2*p + 5*q. Let c = -28 - p. What is the remainder when 29 is divided by c?
5
Suppose x = 8 - 4. Suppose -4*p = f - 2*f - 29, -4*f = x. Calculate the remainder when 12 is divided by p.
5
Let o(u) = 8*u**3 + u**2 - 2*u + 2. Let m(r) = 20*r - 77. What is the remainder when o(2) is divided by m(5)?
20
Let i = -2068 - -2153. Calculate the remainder when i is divided by 40.
5
Let m be (-26)/(5/(10/(-4))). Let w = m - -10. Let d = 47 - w. Calculate the remainder when d is divided by 9.
6
Suppose z + 5*c = 6 + 1, 0 = 4*z - c - 49. Let m be (-6)/(-4)*(z - -20). Suppose -x - m = -3*x. What is the remainder when 69 is divided by x?
21
Let t(f) = -3*f**3 + 5*f**2 - 4*f + 5. Let h be t(2). Calculate the remainder when 99 is divided by (-121)/h + (-8)/28.
14
Suppose 5*v = 7*v - 5*j - 36, 0 = 4*v + 4*j - 16. Calculate the remainder when 152 is divided by v.
0
What is the remainder when (-8)/(-140) + 7134/105 is divided by 27?
14
What is the remainder when -5*(1 - 0) - -12*5 is divided by -1*(4/4 + -24)?
9
Let k = -88 + 91. Suppose 5*p = -k*p + 1032. What is the remainder when p is divided by 44?
41
Suppose 0 = -i - 3*t + 9, t - 1 - 2 = 0. Suppose i = 2*m + 1 - 129. Calculate the remainder when m is divided by 22.
20
Let k = 51 + -16. Suppose -4*q + 33 = -3. What is the remainder when k is divided by q?
8
Suppose -8*u - 106 + 378 = 0. Calculate the remainder when u is divided by 9.
7
What is the remainder when 109 is divided by -8 - -9 - (-2)/((-6)/(-81))?
25
Suppose -49*w + 48*w = -8. Suppose 3*j - 71 = -3*m - w, 5*m = 3*j - 95. Let q = 68 + 4. What is the remainder when q is divided by j?
22
Let j(o) = 4*o**3 + o. Let r be j(1). Suppose -2*u - 12 = u - 3*f, r*u - 4 = -f. What is the remainder when 26 is divided by 14/(1 + 1 + u)?
5
Suppose -41*q - 5*q = -1702. Calculate the remainder when q is divided by 17.
3
Let n = 23 - 33. Let p = n - -24. Let i(m) = 3*m**2 - 3*m + 3. Calculate the remainder when i(-3) is divided by p.
11
Suppose -5*l + 265 = -c, -2*l = 2*l + 3*c - 212. Calculate the remainder when 210 is divided by l.
51
Let t(i) = -1. Let z(b) = -10*b - 8. Let k(m) = -18*t(m) - 2*z(m). What is the remainder when k(4) is divided by 29?
27
Suppose -90 = -5*f + 5*w, 4*f - 3*w = -w + 62. Suppose q - 28 = 7. Let t = 85 - q. What is the remainder when t is divided by f?
11
Suppose -2*k = -2*z + 2, 2*k = -z - 0*z + 4. Suppose -4*i + z*t = t - 49, 4*i = 4*t + 64. Calculate the remainder when 51 is divided by i.
7
Suppose 0 = -6*a + 2*a - 20, -12 = -y - 4*a. Let z = y + -21. Let p = -7 - -26. What is the remainder when p is divided by z?
8
Let y = 22 - -6. Calculate the remainder when 31 is divided by y.
3
Let g = -171 - -189. What is the remainder when g is divided by 2?
0
Suppose -97 + 17 = -5*t. What is the remainder when 48 is divided by t?
0
Let i = -15 + 11. Let z = -3 - i. What is the remainder when 33 is divided by 1/2*34*z?
16
Suppose -4 - 22 = -2*d. Calculate the remainder when 402 is divided by d.
12
Let n(y) = 25*y - 16. Let s be n(4). Suppose -5*k - 2*t = -s, -2*k = 3*t - 25 - 2. Calculate the remainder when k is divided by 11.
7
Let f(s) = -s**2 - 10*s - 6. Let p = 7 + -14. Let d(o) = -o - 2. What is the remainder when f(p) is divided by d(-11)?
6
Let y(j) = 52*j**2 + 7*j - 5. Calculate the remainder when y(1) is divided by 14.
12
Suppose 0*r + 24 = 4*r. Suppose i - 28 = -r. Let y = -11 + i. Calculate the remainder when y is divided by 4.
3
Let f(i) = -i**3 - 8*i**2 + 5*i + 4. Let n be f(-9). Let w = n - 24. Let q = 104 - 43. Calculate the remainder when q is divided by w.
13
Let z = -7 - -12. Let r = -18 - -24. What is the remainder when r is divided by z?
1
Suppose 3*o - 5*c = 173, -14*o + 12*o + 2*c = -122. Calculate the remainder when 118 is divided by o.
52
Suppose -5*k - 16 = 24. Let x be k/1 + (0 - 1). Calculate the remainder when 5 is divided by (-6)/4*12/x.
1
Let m = 2161 + -2098. Calculate the remainder when 114 is divided by m.
51
Let m(r) = -r - 24. Let q be m(6). What is the remainder when 199 is divided by ((-5)/1)/(6/q)?
24
Let h(v) = 77*v**2 - 17*v + 14. What is the remainder when h(1) is divided by 26?
22
Let r be (1 - 1) + 3 - 6. Let u(k) = -5*k - 7. Calculate the remainder when u(r) is divided by 3.
2
Let n = 208 - 112. Suppose 69 = 4*f - f + 2*c, -4*f - 4*c = -n. Calculate the remainder when f is divided by 12.
9
Suppose -3*r + 2 + 7 = 0. Let k be ((-33)/12)/((-1)/4). Let y = k + -7. What is the remainder when y is divided by r?
1
Suppose 3*d + 5*x - 57 = -11, -2*d - x = -33. Suppose -6 - 6 = -2*t. What is the remainder when d is divided by t?
5
Let i(o) = 2*o**3 + 7*o**2 - 4*o + 2. Let r(n) = -n + 3. Calculate the remainder when r(0) is divided by i(-4).
1
Let d(w) = w**3 + 13*w**2 - 15*w + 6. Let s be d(-14). Let h be s/110 - (-40)/22. Suppose -n = h - 5. Calculate the remainder when 10 is divided by n.
1
Let l(b) = b**2 + 31*b + 196. Calculate the remainder when l(-29) is divided by 40.
18
Let r(x) = 29*x**2 - 26*x + 97. What is the remainder when r(4) is divided by 17?
15
Let q = -888 - -902. Let u = -10 - -18. What is the remainder when q is divided by u?
6
Let l(g) be the first derivative of -g**2/2 + 7*g - 2. Let y(d) = -4*d + 40. Let q be y(10). What is the remainder when 34 is divided by l(q)?
6
Suppose 0 = 5*a - 45 - 70. Calculate the remainder when 135 is divided by a.
20
Suppose 2*n = -4*y + 24, 3*n - 8*n + 39 = 3*y. Let t = n + -11. Let l(x) = -11*x - 5. What is the remainder when l(t) is divided by 26?
24
Suppose 2*t + 1 = 3*t. Suppose -12 = -4*y - 2*g, 0 = -4*y + 5*g - 1 - t. Suppose 10 = w - y*u, -w = 4*u - 0 + 8. What is the remainder when 12 is divided by w?
0
Calculate the remainder when 235 is divided by (13/26)/(2/300).
10
Let q = 781 + -652. What is the remainder when q is divided by 11?
8
Suppose 3*r = -4*a + 863 - 358, 0 = -a + 2*r + 140. What is the remainder when a is divided by 46?
38
Let m = 548 + -26. Calculate the remainder when m is divided by 15.
12
Suppose -28*a + 669 = -25*a. What is the remainder when a is divided by 77?
69
Let h = -2 - -4. Suppose -2*f = 2*w - 234, 0 = -0*f + f + 2*w - 112. What is the remainder when f is divided by (124/6)/(h/3)?
29
Calculate the remainder when 1/7 + 2112/14 + 1 is divided by 46.
14
Let f(d) = 47*d - 5. What is the remainder when f(6) is divided by 35?
32
Let u(m) = 6*m - 1. Let b be u(1). Suppose -b = 2*l - 39. Suppose -3*x + 5*a = -l, -a = 3*x - 4*x + 5. Calculate the remainder when 11 is divided by x.
3
Let g(t) be the second derivative of -t**3/6 + 25*t**2/2 + t + 30. Calculate the remainder when 87 is divided by g(16).
6
Suppose 3*q = -2*q. Suppose 0 = 5*w - q*w + 2*r - 10, -4*w - r + 8 = 0. Suppose -w*i = -58 - 76. What is the remainder when i is divided by 23?
21
Suppose d - h = 3*d - 89, 4*d = -3*h + 183. What is the remainder when d is divided by (3/2)/(2/20)?
12
Suppose 2*h = -4*w + 160, -34*w = -30*w + h - 164. Calculate the remainder when 136 is divided by w.
10
Let j be (-1)/(-5) + (-19)/(-5). Suppose j*q - 4*f = 40, 0 = 3*q - f - f - 35. Calculate the remainder when 2170/50 + (-3)/(-5) is divided by q.
14
Let x = 7 - -10. Let k = x - 13. Suppose -k*y + 76 = 4*w - 2*y, 5*y = 0. Calculate the remainder when 74 is divided by w.
17
Let p(d) = 4*d + 73. Let l be p(-10). Let v = 10 + -5. Su