the remainder when 25 is divided by x?
10
Suppose b - 3*l = -5*l + 13, -3*b = l - 19. Suppose -46 = -24*p + 338. What is the remainder when p is divided by b?
1
Let j(q) = q**2 - 2*q - 108. What is the remainder when 273 is divided by j(12)?
9
Let r = 41 + -12. Calculate the remainder when r is divided by 8.
5
Suppose -3*k = 4*m - 108, 3*k + 7 = 5*m - 128. Suppose 4*a - 29 = 11. Calculate the remainder when m is divided by a.
7
Suppose -6*k + 10*k - 60 = -4*y, -4*k - 25 = -y. Calculate the remainder when y is divided by ((-28)/10 - -1)*-5.
8
Let l(w) be the third derivative of w**6/40 + w**5/60 + 5*w**4/24 - 5*w**3/6 - 8*w**2. What is the remainder when l(2) is divided by 7?
5
Suppose -3*q - 4*c + 38 = 0, q - c + 3 = 18. What is the remainder when 165 is divided by q?
11
Suppose t + 3 = 2*t. What is the remainder when (-12)/16 - 611/(-52) is divided by t?
2
Let r(d) = 25*d - 17. What is the remainder when r(6) is divided by 23?
18
Suppose -9*q + 1262 = -943. Suppose -3*i - q = -10*i. Calculate the remainder when 68 is divided by i.
33
Let h(v) = -v**3 + 10*v**2 + 9*v + 19. Let j be h(11). What is the remainder when (-18)/10*(0 - (j + 18)) is divided by 5?
2
Suppose -15*k + 10*k + 75 = 0. Let a = 2 - -7. What is the remainder when k is divided by a?
6
Let z = -59 - -101. Let i = z + -18. Suppose -39*q + 1261 + 218 + 315 = 0. Calculate the remainder when q is divided by i.
22
Suppose 0*h + 22 = h + 4*c, 2*h - 40 = -4*c. Suppose -8 = 4*o + 5*w, -h = -5*o + 4*w + 13. What is the remainder when 16 is divided by o?
1
Calculate the remainder when 67/(-2)*3*48/(-18) is divided by 18.
16
Suppose 0 = 2*b - 29 + 1. Let k = 3 + b. Calculate the remainder when 48 is divided by k.
14
Let v = 21 - 18. Suppose y + 2*k = -v*y + 222, 2*y + 3*k = 121. Calculate the remainder when y is divided by 28.
25
Calculate the remainder when 56 - (756/(-140) + 4/10) is divided by 10.
1
Suppose 351 = -141*v + 150*v. Calculate the remainder when 700 is divided by v.
37
Suppose 20*f - 16*f - i - 191 = 0, 0 = -i + 5. Calculate the remainder when 93 is divided by f.
44
Let p(u) be the first derivative of -u**4/4 - u**2 - u - 7. What is the remainder when 42 is divided by p(-2)?
9
Suppose 2*s + 5*k - 148 + 37 = 0, -303 = -5*s - 4*k. Calculate the remainder when 178 is divided by s.
52
Let j be ((-16)/(-14))/4 + (-510)/21. Suppose -5*a + 0*a - 2*b - 70 = 0, 4*b = a - 8. Let q = a - j. Calculate the remainder when 47 is divided by q.
11
Suppose -k - 1 = 1, 5*q - 4*k - 198 = 0. What is the remainder when q is divided by 23?
15
Suppose -x = 2*t - 17, -5*t = -x + 4 + 41. Calculate the remainder when 147 is divided by x.
22
Let z = 11 - -94. What is the remainder when z is divided by (-588)/245*45/(-2)?
51
Let h = 662 - 453. What is the remainder when h is divided by 55?
44
Let s(f) be the third derivative of -f**5/60 + 7*f**4/12 - 29*f**3/6 - 40*f**2. Calculate the remainder when s(9) is divided by 3.
1
Let p(b) = b + 67. What is the remainder when 80 is divided by p(-23)?
36
Let s = 70 - 66. Suppose -f = -81 - s. What is the remainder when f is divided by 43?
42
Let f = 3 - -37. Suppose 20 = -11*o + 64. Suppose o*d - f = -d. Calculate the remainder when 45 is divided by d.
5
Suppose 9*u - 8*u = -5*i + 98, 0 = -3*u - 3*i + 270. What is the remainder when 292 is divided by u?
28
Let w be 4/3*225/(-6). Let d = -16 - w. Suppose 0 = 2*h + 3*h + n - d, -n + 4 = 0. What is the remainder when 33 is divided by h?
3
Let x = -89 - -459. What is the remainder when x is divided by 53?
52
Let u(j) = j**2 + 16*j - 33. Calculate the remainder when 66 is divided by u(-19).
18
Let p = -84 + 87. Suppose -123 - 72 = -3*w. Calculate the remainder when 41 is divided by w/3 - 2/p.
20
Let d = 19 - -21. Let f = -32 + d. What is the remainder when 21 is divided by f?
5
Suppose 4*m - 3*q = 3, 47*m - 48*m - 3*q = -12. What is the remainder when m is divided by 2 - (4/(-2) - -1)?
0
Let l = -175 - -251. Calculate the remainder when l is divided by 43.
33
Let z(r) = -r + 98 - 44 - 38. Let v = 4 + 5. Calculate the remainder when v is divided by z(10).
3
Let d = -5 + 32. Let l = 55 - d. What is the remainder when 81 is divided by l?
25
Suppose 5*g + k - 6 = 21, -2*k = g - 9. Calculate the remainder when 29 is divided by g.
4
Suppose -11*o + 104 = -39. What is the remainder when 25 is divided by o?
12
Let j(k) = k**3 - 6*k**2 - 1. Let t be j(8). Suppose 0 = -5*x + 203 + t. Calculate the remainder when x is divided by 23.
20
Suppose 2*q - 90 = -0*q. Let v(k) = k**3 - 5*k**2 - 9*k + 30. Calculate the remainder when q is divided by v(6).
9
Let z(j) = j**2 - 9*j + 8. What is the remainder when 1023 is divided by z(10)?
15
Let p(w) = w**3 + w**2 + w + 20. Let f be 2*(1 + -6 + 4). What is the remainder when f*57*-2*(-2)/(-12) is divided by p(0)?
18
Let n be 4*(141*(-1)/(-12))/1. Calculate the remainder when 43 is divided by (102/2)/(-44 + n).
9
Let t = -23 + 25. Calculate the remainder when 8 is divided by 4 + -3 + t - -2.
3
Suppose 0 = -4*g + 3*y + 21, 11 - 2 = 5*g + 2*y. Calculate the remainder when 7 is divided by 3 - ((0 - g) + -1).
0
Let f(m) = -m**3 - 3*m**2 + 4. Let g be f(-4). Let q be ((-4)/5)/((-4)/g). Suppose 30 = q*w + 2*w. What is the remainder when w is divided by 3?
2
Let c(v) = -10*v**2 + 5 - 10*v**2 + 26*v**2 - 7*v**2 - 10*v. What is the remainder when c(-7) is divided by 6?
2
Suppose 4*m + 18 = 5*m. Calculate the remainder when m is divided by (-7)/((6 - 4)/(-2)).
4
Let b(w) = 1. Let q(y) = -y + 1. Let c(a) = 2*b(a) + 6*q(a). Let v(z) = z. Let j(r) = -c(r) - 5*v(r). What is the remainder when 7 is divided by j(11)?
1
Let y(k) = 15*k**2 - 5*k - 5. Let j be y(6). Let l = -210 + j. Suppose -3*d = -5*a - l, 3*a = -d - d + 222. Calculate the remainder when d is divided by 27.
24
Suppose 34 = -4*g + 106. What is the remainder when 46 is divided by g?
10
Let h = 265 + -198. Calculate the remainder when h is divided by 18.
13
Let h(n) = -n**3 + 11*n**2 + 5*n - 3. Let y be h(11). Let c = y - 36. What is the remainder when 62 is divided by c?
14
Let i(j) = -j**3 - 16*j**2 - 15*j + 3. Let l be i(-15). Suppose l*p - 19 = 35. Calculate the remainder when 31 is divided by p.
13
Suppose 11*s + 15*s - 260 = 0. Let g(a) = 3*a - 1. Let o be g(1). Suppose 3*l - 39 = 4*y, -o*l + y + 28 = -3. What is the remainder when l is divided by s?
7
Suppose 48*w = 47*w + 23. Calculate the remainder when 88 is divided by w.
19
Let k = -75 + 83. Let w(n) = 3*n**2 - 17*n - 5. Calculate the remainder when 151 is divided by w(k).
49
Let a(s) = -s**3 + 24*s**2 + s + 12. What is the remainder when 214 is divided by a(24)?
34
Let j = -1 - -2. Let b(d) be the second derivative of -d**5/20 - d**4/6 - d**3/6 - d**2/2 + 4*d. Calculate the remainder when b(-2) is divided by j.
0
Suppose -10*s = -7*s. Suppose -k + o = -47, s = -0*k + k - 2*o - 50. What is the remainder when k is divided by 17?
10
Suppose 0 = -2*a - 3*q - 4, 0*q - 3*q + 8 = -4*a. Let d(m) = 8*m**2 + 9*m + 9. Calculate the remainder when 63 is divided by d(a).
17
Suppose 0 = 3*l - 2*c - 47, -3*c - 11 - 12 = -2*l. Calculate the remainder when 211 + -2*(-2 + (-36)/(-8)) is divided by l.
16
Suppose 0 = -f + 4, -5*f - 124 = -5*v - f. Let b(x) = 2*x**3 - 1 + 32*x**2 - 3*x**3 - v*x**2 + 7*x. What is the remainder when 24 is divided by b(5)?
6
Suppose -3*a - 4*k = -34, -3 = a - 4*k + 7. Suppose a*j + 26 = 8*j. Calculate the remainder when 41 is divided by j.
2
Let r(j) = 4*j**2 + 6 - 8 + 2*j + 1. Let h be r(1). Suppose 8*u - 42 = h*u. What is the remainder when u is divided by 8?
6
Let h(n) = n**3 + 7*n**2 + 8*n - 4. Let q be h(-6). Let t = q + 57. What is the remainder when 203 is divided by t?
39
Let m(n) = 17*n + 3. Let s(x) = -9*x - 1. Let g(a) = 6*m(a) + 11*s(a). Calculate the remainder when 116 is divided by g(11).
36
Let w(z) = 18*z - 1. Let y(o) = -o + 1. Let i(a) = w(a) + 3*y(a). Let j = -84 + 94. What is the remainder when i(3) is divided by j?
7
Suppose 11*o - z = 12*o - 19, 0 = 5*z - 25. Calculate the remainder when 376 is divided by o.
12
Let o(a) = -a**2 + 1 + 0*a**2 + 9 - 7*a. Let i be o(-8). Suppose -m = 2*l - 76, 2*m - i*l - 3*l = 179. What is the remainder when m is divided by 28?
26
Let g = -150 + 209. What is the remainder when 471 is divided by g?
58
Let l(s) = -s*