
13
Suppose -5*r + 9 = -w, -6*w - 4*r - 44 = -10*w. Calculate the remainder when w is divided by 14.
2
Suppose 425*f = 430*f - 105. Calculate the remainder when 100 is divided by f.
16
Let v(z) = -1. Let w(d) = -10*d + 14. Let y(j) = -2*v(j) - w(j). What is the remainder when 75 is divided by y(5)?
37
Let g be (-56)/(-6)*(-24)/(-16). Let m(x) = -1 + g - 16*x + 25*x. What is the remainder when m(9) is divided by 24?
22
Let b(i) = 2*i**2 + 1. Suppose 0 = -6*c + 10*c - 3*s - 11, 0 = -c + s + 2. What is the remainder when c is divided by b(-1)?
2
Suppose n + 3*n - 16 = -2*x, 4*x + 3*n - 57 = 0. What is the remainder when (-10)/170 - (-6195)/119 is divided by x?
16
Calculate the remainder when 429 is divided by 0 - 5/60 - (-2308)/48.
45
Suppose 2*v - 3*p = -10, 3*p + 3 = -v - 2. Let n = -4 + v. Calculate the remainder when -7*n/6*2 is divided by 12.
9
Suppose -2*v + 22 = 2*o, -20*o - 2*v - 53 = -23*o. Calculate the remainder when 38 is divided by o.
8
Let a(q) = 6*q**2 - 5*q + 3. Let v be a(2). Let s = 17 - v. Suppose 2*c + c - 42 = s. What is the remainder when 25 is divided by c?
11
Suppose 0*j + 4*j = 0. Suppose j*w = 5*w - 315. Calculate the remainder when w is divided by 16.
15
Suppose 2 = h - 0*n - 3*n, n = 3*h - 6. Suppose 3*q - q = -j + 121, 124 = 2*q + h*j. What is the remainder when q is divided by 21?
17
Let b be (5/(-15) - 1/(-3))/2. Suppose -27 = -2*q + 2*p + 99, -4*q - 3*p + 280 = b. Calculate the remainder when q is divided by 34.
33
Let g = 341 - 322. Calculate the remainder when 48 is divided by g.
10
Let p be (-12)/2*(-7 - -3). Calculate the remainder when 1/(-6) - (-580)/p is divided by 14.
10
Let w = 2 - -2. Suppose 5*f = 6 + 9, -3*f + 13 = w*x. Calculate the remainder when ((-390)/273)/((-4)/14) is divided by x.
0
Let x(z) = -3*z**3 + z**2 - 22*z + 17. What is the remainder when x(-5) is divided by 33?
32
Let b = 95 + -101. What is the remainder when 47 is divided by (432/(-10))/b - 3/15?
5
Suppose 0 = 3*r - 85 + 25. Suppose 5*z = -3*b + 20, -3*b = -2*z - 6*b - 1. What is the remainder when r is divided by z?
6
Let d(a) = a**2 - 18 + 0*a**2 + 31 - 17. What is the remainder when d(4) is divided by 5?
2
Calculate the remainder when 139 is divided by 48/2 + ((-100)/10 - -7).
13
Suppose -u - 1 + 0 = 2*r, 37 = 3*u - 4*r. Let f = 318 + -299. What is the remainder when f is divided by u?
5
Let s(u) be the third derivative of u**6/120 + u**5/20 + u**4/6 - 2*u**3/3 + u**2 + 127. Let p = 5 + -2. What is the remainder when s(p) is divided by 13?
10
Let w = -29 + 52. Let p = w - 2. Calculate the remainder when p is divided by (-5 - -11) + -1 + (-2)/(-2).
3
Let z = 44 - 116. Let i = 78 + z. Suppose 0 = 4*r + 13 - 73. Calculate the remainder when r is divided by i.
3
Let p(d) = -7*d - 2. Suppose 8*r - 9 = 7. Let v = r + 2. What is the remainder when p(-3) is divided by v?
3
Let b be (-6 + -2 - -61) + 0 + -4. Let f = -40 + b. Suppose 0 = -3*h + p + 64, -5*h + 3*p + 25 = -75. What is the remainder when h is divided by f?
5
Suppose h - 33 = -4*b + 31, -2*h + 8 = 0. Calculate the remainder when 53 is divided by (27/4)/(b/40).
17
Let o = 90 - -44. Suppose -6*q + 60 = -144. Calculate the remainder when o is divided by q.
32
Let t(y) be the third derivative of 7*y**5/60 + 5*y**4/12 - 4*y**3/3 - 25*y**2. What is the remainder when t(-5) is divided by 30?
27
Let v(o) = o + 2. Let b be v(0). What is the remainder when 32 is divided by 1 - (-1)/(b/36)?
13
Suppose 36 + 2 = 2*o + 3*v, 2*v - 19 = -o. What is the remainder when o is divided by 21/(-14) + (-81)/(-6)?
7
Calculate the remainder when 4*90/40 + 366 is divided by 132.
111
Suppose 3*z - 8*z = -60. Let u = 161 - 140. Suppose -3*j - u + 162 = 0. Calculate the remainder when j is divided by z.
11
Suppose 0 = 7*y - 4*y - 36. Calculate the remainder when y is divided by 12.
0
Suppose 0 = 2*s + 10, 5*h - 4*s = -s + 45. Suppose -114 - 12 = -h*o. Calculate the remainder when o is divided by 4.
1
Let p(s) = s - 82. Let w(d) = 27. Let z(o) = 6*p(o) + 17*w(o). What is the remainder when 82 is divided by z(9)?
19
Let o(w) = -39*w**3 - 4*w + 1. Calculate the remainder when o(-2) is divided by 23.
22
Let a(f) = -f**3 + f. Let p be a(-1). Suppose 0 = -3*r + 2*w + 794, -w + p*w = -2. Suppose 2*i - r + 104 = 0. Calculate the remainder when i is divided by 14.
11
Suppose 3*o = o. Suppose o = -i - 1 - 1, 5*x = -4*i + 82. Suppose 2*p + 2*w = 91 + 23, 2*w + 94 = 2*p. Calculate the remainder when p is divided by x.
16
Suppose -4*f + 176 = 4*s, -15 - 73 = -2*s + f. Let p(z) = z**3 + 6*z**2 - 3*z + 5. What is the remainder when s is divided by p(-6)?
21
Let o be (5/(-2))/(6/(-12)). Suppose o*b - 108 = -b. Suppose 0 = 8*s - 6*s - b. Calculate the remainder when 23 is divided by s.
5
Let l = 13 + -10. Suppose -l*b + 7*b - 2*u + 50 = 0, 3*b + 38 = u. Let f = -7 - b. Calculate the remainder when 16 is divided by f.
4
Suppose 164*j = 161*j + 192. Suppose 0 = -37*p + 33*p + j. Calculate the remainder when p is divided by 9.
7
Let m(a) = -a + 1. Let z(c) = 9*c + 4*c + 0 - 14 + 7*c. Let f(b) = -12*m(b) - z(b). Calculate the remainder when f(-6) is divided by 13.
11
Suppose -3*f + 11 = -3*w + 5, -2*f - 4*w = -28. What is the remainder when (-484)/(-33)*3/2 is divided by f?
4
Let i = 887 + -882. Calculate the remainder when 49 is divided by i.
4
Let a = 9 - 6. Suppose 3*n + 4*l - 8 = 0, 28 = 3*n - 4*l + a*l. What is the remainder when 12 is divided by n?
4
Calculate the remainder when 82 is divided by (-3*9/108)/((-1)/116).
24
Let h be 140/8*2 + -1*3. Suppose h = 251*r - 247*r. Calculate the remainder when 29 is divided by r.
5
Let p = -45 - -62. Suppose 195 = 6*s - s. Let d = s - p. What is the remainder when d is divided by 8?
6
Let u be 426/15 + (-4)/10. Let t = 64 - u. Suppose g = 4*m - 9 - 70, 0 = -4*m + 2*g + 82. Calculate the remainder when t is divided by m.
17
Suppose 2*s - 4*s + 70 = -5*k, 98 = 3*s - 4*k. Suppose 4*h + h = 0. Suppose h = 4*o - 3*o - 2*b - 96, 12 = -3*b. Calculate the remainder when o is divided by s.
28
Let p(c) = -c**3 - 26*c**2 - 92*c - 62. Calculate the remainder when p(-22) is divided by 9.
8
Suppose 3*s - 25 = -2*h + 4*s, h + 4*s = 35. What is the remainder when 24 is divided by h?
9
Let a = -18 - 22. Let k = 23 - a. Suppose -4*n = -65 - 67. What is the remainder when k is divided by n?
30
Suppose 517 = 29*t + 82. Calculate the remainder when 139 is divided by t.
4
Suppose -m + 4*t + 1 = 0, 4*m - 2*t - 5 - 13 = 0. Suppose -11 = -m*k + 49. Suppose 25*l - 190 + 15 = 0. What is the remainder when k is divided by l?
5
Let f be ((-28)/20)/((-1)/5). Let a = f + -7. Suppose 10*l - 11*l + 9 = a. Calculate the remainder when 24 is divided by l.
6
Let a be (5 - 1)/(-2) - -1. Let s(u) = -128*u - 25 + 22 + 19*u. What is the remainder when s(a) is divided by 27?
25
Let u(z) = 2*z + 34. Suppose 8 = -2*s - 4*x, 3*s + 0*s - 4*x = -62. Calculate the remainder when 39 is divided by u(s).
3
Suppose -q + 4*q - 198 = -4*i, 143 = 3*i + 5*q. Let s = 71 - i. Calculate the remainder when 97 is divided by s.
17
Let d = -49 - -79. Let j(u) = -u**3 + 9*u**2 - 6*u + 3. What is the remainder when j(4) is divided by d?
29
Suppose -4*b + 2*b = 0, 0 = 4*o + b - 40. What is the remainder when 45 is divided by o?
5
Suppose m = -m + 16. Let j(x) = -x**3 + 2*x**2 + 3. Let b be j(3). What is the remainder when m is divided by (26/b - -4)*-9?
2
Calculate the remainder when 199 is divided by 22 + 0 + 4 + -1.
24
Let p(m) = m**3 + 13*m**2 + 6*m + 80. What is the remainder when p(-12) is divided by 73?
6
Suppose -65*n + 2750 = -10*n. Calculate the remainder when 648 is divided by n.
48
Let u = -12 + 27. Let y be 24/180 + 223/15. Suppose -y*o + 20 = -11*o. What is the remainder when u is divided by o?
0
Let p = -140 - -170. Calculate the remainder when 3/(7 + -4)*86 is divided by p.
26
Let j(v) = -2*v + 1. Let k(c) = -1. Let q(y) = j(y) + 6*k(y). Let r be q(-4). Suppose 111 = -0*x + r*x. Calculate the remainder when x is divided by 20.
17
Let j(z) = -11*z + 127. Calculate the remainder when j(6) is divided by 37.
24
Let l(c) = -c + 1. Let i be l(1). Suppose z + 0 - 2 = i. Let m(g) = -g**2 - 11*g - 16. Calculate the remainder when m(-9) is divided by z.
0
Suppose 0 = 5*u + s + 463, -3*u + 2*s - 241 = 29. Let f = 224 + u. Suppose 5*a + 2*