(t). Suppose 41 = -r*x + 245. What is the remainder when 133 is divided by x?
31
Let g(t) = -4*t**2 + 71*t - 49. What is the remainder when 127 is divided by g(17)?
1
Let n = -3 - -7. Suppose 2*t - n = -0. Suppose t*q + 23 = 3*y + 58, -67 = -4*q + 3*y. Calculate the remainder when 46 is divided by q.
14
Let k(g) = g**2 + 11*g - 15. Suppose 8 + 52 = w. Suppose 4*t - 2*t + 2*p - w = 0, 5 = -p. What is the remainder when k(8) is divided by t?
32
Let l(a) be the second derivative of a**4/12 - a**3/3 + 3*a**2 - 5*a. What is the remainder when 34 is divided by l(3)?
7
Suppose -5*k = -4*l + 34, -3*l - 5*k = -l - 32. Suppose 61 + 38 = l*h. Calculate the remainder when 14 is divided by h.
5
Suppose 0 = -4*b + 84 + 40. Suppose -b = -3*g - 1. What is the remainder when 27 is divided by g?
7
Let m = -4 + 9. Let o be 8*(-2)/(-12)*18. Calculate the remainder when -44*2*(-3)/o is divided by m.
1
What is the remainder when 213 is divided by (1 - (-150)/((-10)/(-2)))/1?
27
Let v(r) = -4*r. Let m be v(-1). Suppose 4*f = -g + 12, -4 = -3*g - 0*f + m*f. Let x(b) = 2*b - 18. Calculate the remainder when x(11) is divided by g.
0
Let k(m) = 2*m**2 - 16*m + 19. Let z(g) = g**2 - 8*g + 10. Let v(w) = 3*k(w) - 5*z(w). Calculate the remainder when 60 is divided by v(8).
4
Let h(t) = -15*t + 3. Let g be (-2)/(-2) - (-4 + 6). What is the remainder when 70 is divided by h(g)?
16
Calculate the remainder when ((-72)/(-32) - 1)*172 is divided by 38.
25
Suppose 0 = 3*k - 23*k + 3000. What is the remainder when k is divided by 20?
10
Let g = -33 - -47. Let x = 9 + g. Calculate the remainder when x is divided by 5.
3
Suppose -2*b + 0*b + 140 = 0. Let h = b - 51. Calculate the remainder when 132 is divided by h.
18
Let m be -4 + 1 - (1 + 12). Let s(r) = -4*r + 5. What is the remainder when s(m) is divided by 18?
15
Calculate the remainder when 858/(-1)*((-12)/(-6))/(-4) is divided by 86.
85
Suppose -2*f + 176 - 64 = 5*v, -252 = -4*f - 3*v. What is the remainder when f is divided by -2 + 38/2 - -1?
12
Suppose c - 1 = 4. Suppose 13 = p - c. Suppose 2*x - 6 = p. What is the remainder when 33 is divided by x?
9
Let h(f) = -f + 108. Let j be h(0). Suppose -k - 3*z + 47 = 2*z, j = 2*k + 3*z. Calculate the remainder when k is divided by 12.
9
Suppose -h - 128 = -2*m, 0 = -0*m - m + 3*h + 59. What is the remainder when m is divided by 22?
21
Let o = 47 - 25. Let l be 96/(-9)*-3 + -1. What is the remainder when (l + 1)*33/o is divided by 13?
9
Let i(r) = r**3 - 7*r**2 - 10*r + 20. Let w be i(8). Suppose -5*d = 2*b - 65, -4*d - d + w*b + 65 = 0. What is the remainder when 36 is divided by d?
10
Let q(i) = -i. Let c be (-1)/(13/6 - (-1 - -3)). Calculate the remainder when (((-32)/c)/(-1))/(16/(-24)) is divided by q(-5).
3
Let k = 73 - 71. Calculate the remainder when 7 is divided by k.
1
Let k = -869 - -1204. Calculate the remainder when k is divided by 160.
15
Let n(o) = o**3 - 8*o**2 - 12*o - 13. Let p be n(9). What is the remainder when 78 is divided by 1*22 - -5*16/p?
18
Suppose -24*h = -29*h + 5, 0 = -m + 4*h + 88. Suppose 0 = -3*c + 2*j + 3*j + 103, 27 = c + 2*j. What is the remainder when m is divided by c?
30
Suppose 4*x - 408 = -4*t, -187 - 9 = -2*x + 2*t. Suppose 0 = -2*g - 2*g + x. Calculate the remainder when 43 is divided by g.
18
Let f be 27 - (1 - (-6)/(-3)). Calculate the remainder when (-29)/(-116) - 142/(-8) is divided by 1/(-4) + 203/f.
4
Let r(i) be the second derivative of -4*i**3/3 - 15*i**2/2 - 39*i. Calculate the remainder when 52 is divided by r(-4).
1
Let d(x) = -2*x**2 - x - 7. Let n(y) = y**2 + y. Let j(f) = d(f) + 4*n(f). What is the remainder when 17 is divided by j(2)?
3
Suppose 0 = l + 4*t + 17, -3*l - 27 - 9 = -3*t. Let o(q) = 2*q**2 + 23*q + 19. Calculate the remainder when o(l) is divided by 12.
10
Let p(y) = 2*y**3 - 7*y**2 + 7*y + 13. Calculate the remainder when p(7) is divided by 11.
9
Let f(m) = -8*m + 14. Let h(d) = 3*d - 5. Let z(x) = 4*f(x) + 11*h(x). Let w be ((-4)/(-10)*2)/((-4)/(-20)). Calculate the remainder when z(w) is divided by 4.
1
Let i(f) = 10*f + 131. What is the remainder when i(-8) is divided by 33?
18
Suppose -335*k = -343*k + 112. What is the remainder when 767 is divided by k?
11
Let d(t) = -2*t**3 + 21*t**2 + 37*t + 12. Calculate the remainder when d(12) is divided by 13.
11
Let m(v) = 5*v**2 + 6*v - 6. Calculate the remainder when 183 is divided by m(1).
3
Suppose 0 = 4*b + 68 - 196. Calculate the remainder when b is divided by (-5)/(70/(-8))*7.
0
Let p = -54 - -97. Suppose 2*j = -3*w + 8*w - 14, 0 = -2*j - 5*w + 26. Suppose r = -j*r + 92. What is the remainder when p is divided by r?
20
Calculate the remainder when 78 is divided by (1 - 4 - -4 - -2) + 13.
14
Let h be -7 - ((-15)/(-10) - (-10)/(-4)). Suppose 2*p = 3*l + 4, l + 2 = -l + p. What is the remainder when 15 is divided by 3 + (-1 - l) - h?
7
Suppose -5*p = q - 19, -4*q + 4*p = -42 + 14. Let f = 47 + -12. Calculate the remainder when f is divided by 3 + (0 - q)*-1.
11
Let f = 7 + 21. Let m(c) be the first derivative of c**3/3 + 3*c**2 + 8*c + 3. What is the remainder when f is divided by m(-7)?
13
Suppose -3*a + 32 = w, -4*w = -9*w - 20. Suppose -156 = -5*l + 3*z, 2*l = -l - 5*z + 114. What is the remainder when l is divided by a?
9
Let k = 20 + -18. Let p(x) = 3 + 2*x**3 - x**2 - 2*x - k - 2. What is the remainder when 26 is divided by p(2)?
5
Suppose -k - 5*c = -3*c - 8, -3*k + 2*c + 8 = 0. Suppose -2*s - s + 171 = -2*b, k*s - 239 = -b. What is the remainder when s is divided by 13 - -2*(-2)/4?
11
Suppose -11*j = -3*j - 72. Let d(b) = -b**3 + 9*b**2 - 7*b + 17. Calculate the remainder when d(8) is divided by j.
7
Calculate the remainder when 134 is divided by (6/4)/((-27)/(-270)).
14
Suppose 5*a - 304 = -74. What is the remainder when 320 is divided by a?
44
Suppose k - 6 = -0*k - 2*r, -5*k = 2*r - 54. Let p(y) = 26*y - 8. What is the remainder when p(2) is divided by k?
8
Let j be (-3)/((99/6)/11). Let x(v) = -14*v - 5. What is the remainder when x(j) is divided by 8?
7
Suppose -2*c + 8*c = 12. Suppose l - 3*w - 17 = 0, c*w - 23 = 3*l - 95. What is the remainder when 76 is divided by l?
24
Suppose 0 = -12*n + 21 + 255. What is the remainder when 35 is divided by n?
12
Let a = 133 + -122. What is the remainder when a is divided by 3?
2
Let c be ((-3)/9)/((-2)/18). Let s(b) = -b**3 - 3*b**2 - 4. Let f be s(-5). Suppose -c*l + f = -l. Calculate the remainder when 68 is divided by l.
22
Let j(g) = g. Let d be j(1). What is the remainder when 72 is divided by 0 + (d - -1) + 3 + 14?
15
Suppose 906 = 24*i + 378. What is the remainder when 240 is divided by i?
20
Let o(i) = i + 10. Let q be o(-8). Suppose u + 2*t = -q*u + 4, t - 11 = 3*u. Calculate the remainder when ((-339)/6 + -2)*u is divided by 24.
21
Let b(s) = 8*s**2 + 68*s + 16. Let y(x) = 3*x**2 + 23*x + 5. Let u(p) = 4*b(p) - 11*y(p). What is the remainder when u(13) is divided by 30?
27
Let a(y) = -y**2 + 3*y + 2. Let g be a(2). Suppose 230 = g*b + 34. What is the remainder when b is divided by 13?
10
Let z = 248 + -175. Calculate the remainder when z is divided by 37.
36
Suppose 2*d - 36 = 5*k, 3*d + 48 = 7*d - 4*k. Let c(v) = 17*v - 11. Let w be c(4). Let y = w + -26. What is the remainder when y is divided by d?
7
Let p = 34 + -31. Let s = p - -36. What is the remainder when s is divided by 4?
3
Let d = -132 + 142. Calculate the remainder when d is divided by 6.
4
Suppose v - 157 - 41 = 0. Suppose 8*x = 14*x - v. What is the remainder when 96 is divided by x?
30
Let w(h) = h**3 - 3*h**2 - 4*h + 6. Let o(c) = -c + 19. What is the remainder when w(5) is divided by o(0)?
17
Suppose 3*z = -z + 136. Suppose 4*y - 76 = -2*w, -4*w - z = -5*w - 3*y. Calculate the remainder when w is divided by 24.
22
Suppose -4*y + 8*y = -5*m + 37, m = -4*y + 17. Suppose 0 = -y*l - 3*j + 420, -5*l = -5*j - 659 - 81. Calculate the remainder when l is divided by 37.
33
Let r = -119 - -146. Calculate the remainder when 39 is divided by r.
12
Suppose -3*f - 90 = -3*m, 0 = 5*m - 8*f + 5*f - 152. What is the remainder when 111 is divided by m?
18
Suppose -2*q = 82 - 44. Let s = 47 + q. What is the remainder when 54 is divided by s?
26
Calculate the remainder when 125 is divided by ((594/(-4))/(-9))/((-6)/(-16)).
37
Let y(o) = o**2 + 6*o +