t n(q) = -q**3 - 35*q**2 + 59*q - 52. What is the remainder when n(-37) is divided by 24?
23
Let r = -496 + 516. Calculate the remainder when 150 is divided by r.
10
What is the remainder when 102 is divided by -4 - ((-2)/(-8) + (-1960)/32)?
45
Suppose -2 = -4*u + 2*u, 2*q - 78 = -2*u. Suppose -3*r + 12 = -12. What is the remainder when q is divided by r?
6
Let a(j) = -j**3 - j**2 - 4*j - 1. Let o be a(5). Suppose l = -9*l + 100. Calculate the remainder when 2/4 + o/(-6) is divided by l.
9
Suppose 4*p = 11 + 173. What is the remainder when p is divided by 19?
8
What is the remainder when 32 is divided by ((-2)/6)/((-6)/558)?
1
Let j(z) = 4*z - 66. Let b be j(16). Suppose -s - 3 = -0. What is the remainder when ((-87)/b)/(s/(-4)) is divided by 30?
28
Let h = 314 - 171. Let i = 214 - h. Calculate the remainder when i is divided by 18.
17
Suppose 21*i = 132 + 57. What is the remainder when 106 is divided by i?
7
Suppose -25*o = -4544 + 469. What is the remainder when o is divided by 43?
34
Let o be -1*1/((-1)/(-8)). Let c be 1*-2 + (-64)/o. Suppose -l + c = 1. What is the remainder when 14 is divided by l?
4
Let q be (-4)/((-8)/3)*-4. Let p(a) = a**2 - 7*a - 8. What is the remainder when p(q) is divided by 18?
16
Let l(n) = -n**2 - 31*n + 22. What is the remainder when 118 is divided by l(-31)?
8
Suppose 0 = -b - 2*b + 42. Suppose 0 = -3*r + 9 - 0, 0 = -3*f + 2*r + 90. Calculate the remainder when f is divided by b.
4
Let a be (6/(-5))/((-3)/(-15)). Let m be 3/a*(-1 + 13). Let q = 4 - m. What is the remainder when 27 is divided by q?
7
Let m(b) = -2*b - 19. Let r = -5 - 11. Suppose h = -2*n - 3*n + 27, -5*n + 17 = -4*h. What is the remainder when m(r) is divided by n?
3
Suppose -q - 5 = 4*q, -1022 = -3*d + 5*q. Calculate the remainder when d is divided by 19.
16
Calculate the remainder when (29 - 25 - 8/1) + 81 is divided by 6.
5
Let f(c) = -c**3 - 12*c**2 - 13*c - 10. Calculate the remainder when 0 + -1 + (-31)/(-1) is divided by f(-11).
6
Suppose 7*b = -23 + 79. Suppose b*n - 31 = 129. What is the remainder when 33 is divided by n?
13
Let g(t) = -11*t - 68. Suppose -4*w - 3*a - 48 = 0, -2*a = -4*w - w - 37. Let o(k) = -k**3 + k**2 + 8. Calculate the remainder when g(w) is divided by o(0).
7
Suppose 2*s - 148 = -s - 2*n, 3*s - 118 = 4*n. Let q be -26*(-2)/4 - 1. Suppose 0 = -z + 2*z - q. Calculate the remainder when s is divided by z.
10
Suppose 3*s - i = -5, -s = i + 11 - 4. Let x(p) = -2*p**3 - p**2 + 7. What is the remainder when x(s) is divided by 11?
8
What is the remainder when ((-4)/(72/(-30)))/(5/105) is divided by 10?
5
Let t = -22 + 26. Calculate the remainder when 19 is divided by 3/4 + (-3)/(-12) + t.
4
Let j = -296 - -455. Suppose 2*t - 86 = -2*b, -2*b + 3*b = 2*t + 34. Calculate the remainder when j is divided by b.
39
Let v(r) = 8*r - 2. Let j(y) = -y**2 + 10*y + 16. Let z be j(11). Calculate the remainder when v(z) is divided by (-7)/(245/(-504)) - (-4)/(-10).
10
Suppose 0 = u - 5, 177 = 2*a - u + 2*u. Suppose 2*y = a + 18. What is the remainder when y is divided by 27?
25
Let j = -253 - -321. Calculate the remainder when 77 is divided by j.
9
Let p = -6 - -29. Suppose 0 = p*u - 25*u - 52. Calculate the remainder when 24 is divided by (u/(-3))/((-10)/(-15)).
11
Suppose j + 33 = 3*t, 0 = 5*j + 3*t - 8*t + 155. Calculate the remainder when j/(-4)*384/36 is divided by 27.
26
Let c(g) = 13*g + 4. Suppose -47*v + 695 = -10. What is the remainder when c(4) is divided by v?
11
What is the remainder when 262 is divided by ((-969)/(-68))/(((-21)/8)/(-7))?
34
Let g = -17 + 16. Let v be g - 5/((-5)/2). What is the remainder when -3 + v + (1 - -36) is divided by 18?
17
Calculate the remainder when (4 + -3 - -3) + 58 is divided by 4.
2
Suppose -566*f - 1960 = -574*f. What is the remainder when f is divided by 31?
28
Let r be (3 + -17)*(37/7 - 1). Suppose 5*x = 139 - 39. Calculate the remainder when (-1 - -2)/(1/(-1 - r)) is divided by x.
19
Let u(r) = 5*r**3 + 2*r**2 - 5*r + 4. Let i be (-3)/((-24)/32) + 1*-2. Calculate the remainder when 124 is divided by u(i).
40
Let b(n) be the third derivative of n**5/60 + n**4/4 - 5*n**3/3 - 9*n**2. Let u be b(-7). What is the remainder when 16 is divided by -4 + -3*10/u?
4
Suppose 4*v - 7 - 1 = 0. Suppose -6*h + v*h = -184. Suppose 2*r - 96 + 72 = 0. Calculate the remainder when h is divided by r.
10
Let j(h) = 2*h**2 + h + 20. Let r be j(-7). Suppose -2*m = 5*u - 3*m - 139, -4*u + m + r = 0. What is the remainder when -5*4*(-66)/12 is divided by u?
26
Calculate the remainder when 155 is divided by 3 - (-175)/(-55) - (-3528)/44.
75
Suppose 2*f - 9*u - 378 = -5*u, 0 = -f - 4*u + 213. What is the remainder when f is divided by 15?
2
Suppose 0*l = l - k - 13, -5*k = -l + 1. Let f = l - 13. Let j = -3 - -4. Calculate the remainder when f is divided by j.
0
Let h(q) = 11*q + 175. What is the remainder when 693 is divided by h(-8)?
84
Let l(m) = -m**3 + 15*m**2 - 7*m + 33. What is the remainder when l(14) is divided by 4?
3
What is the remainder when (-2 - (-848)/24) + (-4)/12 is divided by 26?
7
Suppose 3*y = -3, -5*f = -2*f - 2*y - 5. Suppose 29 + f = 3*d. Let g(k) = 4*k**2 + 123*k - 123. Calculate the remainder when g(-32) is divided by d.
7
Let n(r) = -25*r + 290. What is the remainder when n(5) is divided by 65?
35
Suppose 2*k - 3*a - 35 = 0, 3*a - 2*a + 5 = 0. Let t = 77 - 79. What is the remainder when (-330)/(-7) - t/(-14) is divided by k?
7
Let c(g) = g**2 + 5*g + 2. Let t be 3 - 4/3*(-81)/6. What is the remainder when (-88)/6*t/(-14) is divided by c(-6)?
6
Suppose -2*l - 10 = -0*g + 3*g, 2*g - 3*l = 15. Let u(v) = -v**2 + 13. Let f = -764 + 769. What is the remainder when u(g) is divided by f?
3
Let d = 116 + -58. Calculate the remainder when 173 is divided by d.
57
Let n = -182 + 188. Calculate the remainder when 45 is divided by n.
3
Let g = 158 - 112. What is the remainder when g is divided by 10?
6
Suppose -2*c - 4*t = -c + 16, -4*c + 36 = -4*t. Suppose 4*a - 140 = -c*h, 3*h + 0 = 4*a + 133. What is the remainder when 75 is divided by h?
36
Suppose u = 1 - 6. Let x = 11 - u. What is the remainder when ((-12)/x)/((-1)/96) is divided by 25?
22
Let w(s) = -s**2 - 24*s - 25. Let v be w(-22). Suppose -v*k + 735 = -4*k. What is the remainder when k is divided by 18?
13
Suppose -6*k + 3*k = 3. Let t(x) = -15*x**3 - x**2 - 2*x - 1. What is the remainder when (-15)/25 + ((-2592)/15)/(-3) is divided by t(k)?
12
Let q(c) = 13*c + 120. What is the remainder when q(9) is divided by 40?
37
Let p(o) be the third derivative of -o**5/60 - 13*o**4/24 - 5*o**3/6 + 2*o**2. Let b be -10*(-3 + 2)/((-3)/3). What is the remainder when 73 is divided by p(b)?
23
Suppose 0 = 4*j - 2*i - 12, -3*j + 0*j = i - 19. Suppose 0 = -4*a + j*s + 115, 2*a - 66 = -3*s + 19. Calculate the remainder when 67 is divided by a.
32
Suppose 2 + 24 = 2*j. Let r = 70 - -87. Let i = r + -94. Calculate the remainder when i is divided by j.
11
Suppose f - 5*f + 20 = 0. Let i = -33 + 91. Suppose -f*x + 2 = -i. What is the remainder when x is divided by 7?
5
Suppose -2*i + 34 = 5*f + 12, 2*i = f - 2. Let j(t) = t**3 - 5*t**2 + 4*t + 9. Calculate the remainder when 24 is divided by j(f).
6
Let p(f) = -f**3 - 15*f**2 + 15*f - 13. Let r be p(-16). Suppose -3*i + 153 = r*s, -63 = -s - 3*i - i. What is the remainder when s is divided by 13?
8
Calculate the remainder when (-13)/2*60/(-39) is divided by (-1)/(-2 + 26/14).
3
Let u be ((-25)/(-30))/((-2)/(-12)). Let z(f) = 4*f + 1. Calculate the remainder when 178/u - 36/(-90) is divided by z(3).
10
Suppose -3*u + 0*f + 4*f = -772, -4*f - 1276 = -5*u. What is the remainder when u is divided by 51?
48
Suppose -5*g + 57 - 13 = 3*p, -5*p = -3*g - 28. Calculate the remainder when 357 is divided by p.
5
Let v(n) = n**3 - 6*n**2 - 3*n + 8. What is the remainder when v(8) is divided by 31?
19
What is the remainder when 225 is divided by (-400)/(-6) + (-2 - 35/(-15))?
24
Let u = -758 + 795. Calculate the remainder when 138 is divided by u.
27
Suppose -3*l - 8*f + 7*f = -44, 3*l - 40 = -2*f. Suppose -84 = -8*s + 5*s. What is the remainder when 8/(-28) - (-764)/s is divided by l?
11
Suppose 5*l = -3*y + 175, 4*l - 70 = 2*l + 3*y. Let j(m) = m**3 + 10*m**2 + 2*m + 4. What is the remainder when j(-7) is divided by