5
Suppose 2*l + 5*a = 32, 10*a = 4*l + 7*a - 12. Calculate the remainder when (2 + 2)*54/8 is divided by l.
3
Let y = -8 + 11. Suppose -y*p = -p - 20. Calculate the remainder when -3 + (7*6 - 3) is divided by p.
6
Calculate the remainder when (41/205)/((-3)/(-4170)) is divided by 44.
14
Let v be (160/(-15))/(1/3). Let s = v + 28. What is the remainder when 66 is divided by (-54)/s - 3/(-6)?
10
Let v(w) be the first derivative of 4*w**2 - 15. Calculate the remainder when 39 is divided by v(2).
7
Suppose -d + 174 = 3*c, d = -23*c + 26*c + 192. What is the remainder when 720 is divided by d?
171
Suppose 3*l + 10 = 5*y - 2*l, 3*l = -5*y + 34. What is the remainder when 176/6*27/180*10 is divided by y?
4
What is the remainder when 64 + 4/(6/(-12)*-4) is divided by 8?
2
Suppose 3*t = 3*n + 4*t + 4, -20 = 5*n - 5*t. Calculate the remainder when 27 is divided by n/5 - 135/(-25).
2
Suppose 2*y - 30 - 12 = 0. Let k be (-9)/(-3)*14/y. Let v(a) = 7*a**2 + 2*a - 1. Calculate the remainder when v(k) is divided by 16.
15
Let c(w) = w**3 - w**2 + 40*w - 115. What is the remainder when 133 is divided by c(3)?
18
Let y(g) = 5*g + 1. Let d(i) = -44*i - 5. Let h be d(-3). Suppose -4*s + h = -3*r, -3*r + 56 = 5*s - 96. Calculate the remainder when s is divided by y(2).
9
Suppose -121*z + 127*z - 630 = 0. Calculate the remainder when z is divided by 9.
6
Suppose 0 = -42*x + 594 + 1338. What is the remainder when 183 is divided by x?
45
Let s = -15 + 18. Let k be ((-53)/(-3))/(1/s). Suppose -n - k = -4*h, -2*n + 2 = 3*h - 2*h. Calculate the remainder when 34 is divided by h.
10
Let c(y) be the second derivative of -y**5/20 + 2*y**4/3 - 7*y**3/6 + 3*y**2 + 2*y. Suppose 161 = 8*o + 33. Calculate the remainder when c(5) is divided by o.
14
Suppose 2*g - 108 = 2*f - 102, 5*f + 10 = 4*g. Let r(c) = -4*c - 9. Let l be r(-7). Suppose 0*y + l = y. Calculate the remainder when y is divided by g.
4
Let m be ((-12)/(-10))/((-2)/(-145)). Let q = -81 + m. What is the remainder when 21 is divided by q?
3
Suppose 7*j - 2*j + 5*p - 45 = 0, 2*p = 2*j - 2. Suppose 4*y - 47 = -j*l, 0 = 2*l - 3 - 3. What is the remainder when 31 is divided by y?
7
What is the remainder when ((-1836)/119)/(6/(-28)) is divided by 48?
24
Calculate the remainder when 924 is divided by -5*(8/(-20) - 7).
36
Suppose 2*p - 2*w - 99 = -3, 5*p + 3*w - 224 = 0. Suppose -q = -a - 0*q + 4, -5*q = -3*a + 22. What is the remainder when p is divided by (-17)/a - -1 - 2?
14
Let n(t) = 22*t + 343. Calculate the remainder when n(11) is divided by 42.
39
Let f(k) = 2*k - 3. Let t be f(-6). Let y = t - -42. What is the remainder when 133 is divided by y?
25
Suppose 5*w + 2*b = 46, -3*w - 4*b - 1 + 23 = 0. Suppose -w*v = 3*v - 221. Calculate the remainder when 55 is divided by v.
4
Let l(m) = -2*m**2 + 16*m - 3. Let b be l(7). Let x = 20 - b. What is the remainder when 25 is divided by x?
7
Let h = 826 - 811. Calculate the remainder when 25 is divided by h.
10
Suppose -67*a + 54 = -64*a. What is the remainder when 121 is divided by a?
13
Let x(q) = -q**3 + 11*q**2 + 7*q + 5. Let l be x(11). Suppose -v = -3*v + l. What is the remainder when 81 is divided by v?
40
Suppose r - 5*p = 9, -4*p - 19 = 5*r + 23. Let q(s) = 28*s**2 - 12*s - 4. Let o be q(r). Calculate the remainder when o/10 + (-8)/(-20) is divided by 37.
34
Let a be ((-3)/(15/(-4)))/(8/20). Suppose 4*i + 260 = 2*x + a*x, 2*i = 4. What is the remainder when x is divided by 14?
11
Let k = 639 + -537. Calculate the remainder when 196 is divided by k.
94
Suppose 0 = 5*l - c + 266, -l - l - 4*c = 102. Let v be 1 + -1 + -1 + 100. Let h = l + v. Calculate the remainder when h is divided by 16.
14
Let d(v) = -10*v**3 + 5*v**2 + 2*v - 7. Let k be d(-4). What is the remainder when ((-4)/3)/((-10)/k) is divided by 32?
30
Calculate the remainder when 320 is divided by (-180)/72 - 1260/(-8).
10
Let z(s) = -3*s. Let u be z(-14). Suppose 4*j - 10*j = -u. Calculate the remainder when 34 is divided by j.
6
What is the remainder when 56*(1/(-3))/(10/(-30)) is divided by 27?
2
Let y(c) = 5*c + 67. Let b be y(-13). Suppose b*k + 3*k - 163 = -3*w, 29 = k - 3*w. Calculate the remainder when 95 is divided by k.
31
Let z be (3 - 2)/(1/16). Suppose i = 5*i - z. Suppose 3*v + 5*t = -v + 41, i*v - 39 = -3*t. Calculate the remainder when 17 is divided by v.
8
Let d = 1123 + -1093. Suppose -6*r = 2*j - r - 56, 3*r = -2*j + 48. Calculate the remainder when d is divided by j.
12
Let n be (-9 - (-2 + 5))*2/4. Let z(d) = d**2 + 3*d. What is the remainder when z(-4) is divided by ((-3)/9)/((-5)/n - 1)?
0
Suppose 4*y - 112 = 4*o, 5*y - o - o - 134 = 0. Calculate the remainder when 309 is divided by y.
23
Let h = -2428 + 2432. Calculate the remainder when 29 is divided by h.
1
Let m(i) = i**2 - 5*i + 4. Let a be m(4). Suppose -v + 1 = -a*v. What is the remainder when 6/8*52/39 is divided by v?
0
Let g = 143 + -133. Calculate the remainder when 70 is divided by g.
0
Let l(x) = -x**3 + 7*x**2 - 7*x + 5. Let q be l(5). Suppose 0 = 4*c - q - 76. Let d(v) = -3*v + 1. Calculate the remainder when c is divided by d(-4).
11
Suppose -2*b = 4*r - 170, 0*r - b - 216 = -5*r. Suppose -16 - 11 = -c. Let f = -12 + c. What is the remainder when r is divided by f?
13
Suppose 0 = -p - 3*p + 5*u + 301, 0 = u - 3. Suppose 4*b - 3*a + a - 72 = 0, 2*a = -b + 13. Calculate the remainder when p is divided by b.
11
Suppose -112 = -5*y + 563. Calculate the remainder when y is divided by (-245)/(-4 - 3)*1.
30
Suppose 4*t + 49 - 229 = 0. Suppose 3*w - 26 = -3*y + w, 3*w - 44 = -5*y. Calculate the remainder when t is divided by y.
5
Let g(m) = m**3 + 16*m**2 + 19*m + 53. Suppose 0 = -6*s + 5*s + 45. Calculate the remainder when g(-14) is divided by s.
44
Let p = 2111 - 1876. What is the remainder when p is divided by 14?
11
Let b = -6902 - -6934. Let f = 6 - -1. Calculate the remainder when b is divided by f.
4
Suppose -7*x + 55 = -2*x. Suppose 2*t - 16 = -r, -5*r - 2*t + 29 = -x. What is the remainder when r is divided by 2?
0
Suppose 25 = 4*i - 0*w + 3*w, 3*w + 38 = 5*i. Suppose -i = -y + 3. What is the remainder when 39 is divided by y?
9
Suppose 336 = 7*x - 280. What is the remainder when (2 - 1)/(-4 + 356/x) is divided by 14?
8
Suppose -3*j - 2*j - h + 122 = 0, 2*j + 2*h = 44. Let s = j + 20. Let i(p) = -p**3 + 3*p**2 - 21*p + 75. Calculate the remainder when s is divided by i(3).
9
Suppose 5*y - 291 = -4*q + 2*y, -q - 4*y = -89. Suppose 2*j + j - q = 0. What is the remainder when 88 is divided by j?
19
What is the remainder when 48 is divided by (-48)/27 + 2 - 690/(-54)?
9
Suppose -3 = 3*k - 12. Suppose 963 = k*c - 105. Suppose -3*g - g = -c. Calculate the remainder when g is divided by 23.
20
Suppose -2*d - s = -194, -21*s + 19*s = 0. Calculate the remainder when d is divided by 11.
9
Let d = -17 + 17. Let c = d + 5. Suppose 10 = t - c*m, -7 + 3 = -4*m. Calculate the remainder when 58 is divided by t.
13
Let g(m) = -2*m + 4 + 2 - m + 5. Let y = -69 + 81. Calculate the remainder when g(-8) is divided by y.
11
Let s(a) = -57*a**2 + a + 5. Let b(y) = -29*y**2 + 2. Let j(g) = -5*b(g) + 2*s(g). Calculate the remainder when j(-1) is divided by 15.
14
Suppose -4*m + 34 = 2*b, 0 = 4*b + 4*m + 29 - 97. Calculate the remainder when b is divided by 6.
5
Calculate the remainder when 66 is divided by 6/(-14) + (-909)/(-63).
10
Let o(p) = -p**3 + 22*p**2 + 57*p + 41. What is the remainder when o(24) is divided by 10?
7
Suppose -2*i = -5*v - 18, 5*i - i = -2*v + 36. Suppose 0 = -i*o + o + 112. What is the remainder when 20 is divided by o?
6
Let o(c) = -c**3 + c**2 + c + 18. Let b(r) = 15*r**2 + 3*r - 1. What is the remainder when b(-2) is divided by o(0)?
17
Let n = -89 + 91. What is the remainder when -4 - 1 - -145 - n is divided by 47?
44
Let j be (-3)/(92/(-44) + 2). Suppose 4*q + j = 13, 3*q = 3*r - 129. Calculate the remainder when r is divided by 13.
12
Let n = -3 - 0. What is the remainder when -9*(2 + 76/(-12)) is divided by 7/(n*(-2)/12)?
11
Let b = -1118 - -1135. Suppose 3*w = 87 - 0. What is the remainder when w is divided by b?
12
Let i(m) = 18*m**2 - m + 1. Let p be i(1). Suppose -54*c = -52*c - p. Calculate the remainder when c is divided by 3.
0
Let z = -33 + 46. Calculate the remainder when z is divided by 12/66 + 