2
Suppose -1 = r, 2*r = -k + 6*r + 37. Suppose -80 = -3*u - 29. What is the remainder when k is divided by u?
16
Suppose 1428 = -13*d + 19*d. Calculate the remainder when d is divided by 24.
22
Suppose -162*l + 167*l = 65. What is the remainder when 108 is divided by l?
4
Suppose 5*p - 4*c = 21, 5*p + c = 2*p + 16. Suppose -2*y + 5 = -y, -5*l + 25 = y. What is the remainder when p is divided by l?
1
Let i(u) = 26*u**2 + 62*u + 61. What is the remainder when 117 is divided by i(-1)?
17
Suppose 89 = -5*h - 21. Let m = h + 34. Suppose b + 3 - 15 = -4*y, -m = -b - 3*y. Calculate the remainder when 69 is divided by b.
9
Suppose 3*k - k + 320 = 0. Let w be k/(-15)*(-9)/(-6). Suppose -w*c + 14*c = -124. What is the remainder when c is divided by 21?
20
Let p(m) = 3*m**3 + 169*m**2 + 55*m - 50. Calculate the remainder when 121 is divided by p(-56).
1
Suppose 0 = -3*p + 3*g + 61 + 29, 3*g - 134 = -5*p. Calculate the remainder when 79 is divided by p.
23
Let u(n) = 25*n**2 + 167*n - 43. Let q = -74 + 123. What is the remainder when q is divided by u(-7)?
10
Let m(t) = -20*t - 13 - 12 - 10*t**2 + 51 - 16 + t**3. What is the remainder when m(12) is divided by 12?
10
Suppose -57 = -3*d + 5*u - 0*u, d = -3*u + 33. What is the remainder when d is divided by 7?
3
Let s be -17*3/(12/4). Let u = s - -24. Calculate the remainder when 33 is divided by u.
5
Suppose -22 = -5*j + 68. What is the remainder when j is divided by 15/(-25) - (-212)/20?
8
Let j(b) = b**2 - 14*b - 1. Let x(v) = v**2 - 6*v + 8. Let q be x(7). What is the remainder when 39 is divided by j(q)?
11
Let x(i) = 2*i**2 + 7*i - 2. Let g be x(-6). Let a be -1*1*g/14. What is the remainder when a/(-5) - (-113)/5 is divided by 5?
3
Calculate the remainder when ((-74)/10)/(-2 - (-54)/30) is divided by ((-18)/(-12))/((-6)/(-56)).
9
Let h(n) = -59*n - 8. Let y(p) = 30*p + 4. Let j(a) = -3*h(a) - 7*y(a). Calculate the remainder when j(-2) is divided by 13.
10
Suppose 9*y + 24 - 168 = 0. What is the remainder when 207 is divided by y?
15
Calculate the remainder when 113 is divided by (-3 - -3) + -2 + 6.
1
Let p(w) = 4*w + 4. Let q(v) = -v + 1. Let n(k) = -18*k + 3. Let l(d) = -n(d) + 12*q(d). What is the remainder when l(10) is divided by p(5)?
21
Suppose g - 23 = -4*a, -3*g + 3*a + 0*a = -129. Calculate the remainder when 66 is divided by g.
27
Let q be (-1)/4 - 13/(-4). Suppose 0 = -q*y - 6, 4*a + 0*a - 34 = -5*y. Calculate the remainder when 30 is divided by a.
8
What is the remainder when 617 is divided by (-1980)/(-32) - 6/(-48)*1?
59
Suppose -7*m - 81 = -284. Calculate the remainder when 164 is divided by m.
19
Let n = 30 + -21. Let r(i) = 10*i - 22. Calculate the remainder when r(n) is divided by 14.
12
Suppose 101*l = 455 + 555. What is the remainder when 24*6/(-20)*-5 is divided by l?
6
What is the remainder when 826/10 + -5*8/(-100) is divided by 12?
11
Suppose 2*o = -8*o + 660. Calculate the remainder when o is divided by 11.
0
Let x(r) = 17*r**2 + r - 1. Suppose 0 = -2*d - 37 + 47. Suppose d*u - 2*u = 4*v + 11, 2*u - v = 14. Calculate the remainder when x(1) is divided by u.
8
Suppose -14*l + 409 = -67. What is the remainder when 63 is divided by l?
29
Suppose -18 = -4*d + 6. Let q be d/(0 + 3)*3. Calculate the remainder when 41 is divided by q/(-27) - (-303)/27.
8
Suppose 7*z + 12 + 2 = 0. Let k(j) = -7*j + 1. What is the remainder when 44 is divided by k(z)?
14
Let d = -6 + 53. Let g(u) = 4*u - 32. Let o be g(9). Suppose 4*t - 68 = -3*p, 4*p + o*t - 69 = 3*t. What is the remainder when d is divided by p?
15
Let y be 54/12*(-1 - 5). Let h = y + 32. What is the remainder when h is divided by 5?
0
Let o be 24/13 - (-8)/52. Suppose o*b = b + 16. Suppose 131 = -28*i + 411. Calculate the remainder when b is divided by i.
6
Suppose 10*v - 299 = -3*v. What is the remainder when v is divided by 20?
3
Let o(k) = -k + 13. Suppose -5*i = -i. Suppose 5*q - 20 - 15 = i. Calculate the remainder when q is divided by o(9).
3
Suppose -5*v + 3*x - 2*x = -22, 3*x = -6. What is the remainder when 40 is divided by (v + -1 - 3) + 27/1?
13
Suppose -123 - 45 = -3*m. Calculate the remainder when 101 is divided by m.
45
Let w = -41 - -43. Let k(a) = 9*a + 5. Calculate the remainder when k(w) is divided by 14.
9
Let f(g) = -16*g - 489. What is the remainder when 435 is divided by f(-32)?
21
Let r(m) = -2*m**3 - 19*m**2 + 33*m + 34. What is the remainder when 115 is divided by r(-11)?
13
Suppose 3*o = -2*t - 0*t + 39, -110 = -5*t - 5*o. What is the remainder when 132 is divided by t?
24
Let l = 60 - 56. Let o(m) = 2*m + 20. Calculate the remainder when 83 is divided by o(l).
27
Let j = -6751 + 6760. Let m = -2 + 6. Suppose 2*v + 4*y - 72 = 0, -m*v + 125 = -y - 55. What is the remainder when v is divided by j?
8
Let w(t) = t**3 - 4*t**2 - 2*t + 4. Calculate the remainder when 282 is divided by w(5).
16
Let c(s) = -s**3 + 33*s**2 + 8*s - 241. Let d = 225 - 136. What is the remainder when d is divided by c(33)?
20
What is the remainder when ((-472)/16 - 12/(-3))*-34 is divided by 28?
27
Let o(g) = 5*g + 21. Suppose -5*r + 259 = 3*h, r = 4*h + 4*r - 338. What is the remainder when h is divided by o(-3)?
5
Suppose 0 = a - 96 - 3. Suppose 3*d + 27 = -a. Calculate the remainder when 34 is divided by (36/(-14))/(6/d).
16
Let z(c) = -c**3 + c**2 + 47*c + 137. Calculate the remainder when 287 is divided by z(-3).
31
Let j be (-2)/(-10 - 0) + 52/(-10). Calculate the remainder when 6/((-3)/(-1)) + j + 46 is divided by 23.
20
Suppose 301 = 10*k + 33*k. Calculate the remainder when 81 is divided by k.
4
Suppose -224 = -6*u + 2*u. What is the remainder when 485/7 + 376/u + -7 is divided by 7?
6
Let f = 50 - 72. Calculate the remainder when 27 is divided by (-80)/(-32)*f/(-5).
5
Suppose -2*r + 4024 = 334. What is the remainder when r is divided by 42?
39
Let l(m) = -16*m + 1. Suppose -7 = -5*d - 2. Let i(g) = g - 2. Let o be i(d). Calculate the remainder when 48 is divided by l(o).
14
Let t = 13 - 9. Suppose 73 + 22 = 5*x + 3*k, -t*k + 2 = x. Calculate the remainder when 54/(-24)*56/(-3) is divided by x.
20
Let y(z) = -5*z + 3. Let m be y(1). Calculate the remainder when (-143)/(-1) + 14/(m - 5) is divided by 29.
25
Suppose 0 = 30*y - 35*y + 80. Let t(v) = -v**3 - v**2 + 3*v - 1. Let n be t(-3). Let h = n - -1. What is the remainder when y is divided by h?
7
Let v = 12 + -18. Let d be ((-2)/v)/((-3)/45). What is the remainder when 18 is divided by (-26)/d - 1/5?
3
Let s(y) = -y**2 + 10*y + 9. Let d be 4/16*4 - -2. Suppose f - 33 = -5*r + 2*f, 0 = -d*f + 6. Calculate the remainder when s(r) is divided by 11.
8
Let m be 4/((-2)/(-4)*4). Let x(a) = 19*a - 1. What is the remainder when x(m) is divided by -4*9/90*-50?
17
Suppose 0 = 2*g + 2*h + 80 - 250, 3*g - 3*h = 261. What is the remainder when g is divided by 34?
18
Suppose 5*y - 4*y - 32 = 0. Calculate the remainder when y is divided by (5 - 4)*(-1 - 18/(-1)).
15
Let z(k) = -78*k + 1 + 73*k + 1. What is the remainder when z(-11) is divided by 21?
15
Let s be 2196/10 + 4/10. Let b(o) = 8*o. Calculate the remainder when (s/25)/(2/5) is divided by b(1).
6
What is the remainder when 20/(-25) + 2397/15 is divided by 44?
27
Let d(v) be the third derivative of -v**5/60 + v**4/6 + 3*v**3/2 - v**2. Let o = 15 + -9. Calculate the remainder when o is divided by d(5).
2
Let u = -41 - -69. Let l(r) = 2*r - 5. Let v be l(5). Suppose -v*x + n = -277, 11*n - 6*n = -3*x + 155. What is the remainder when x is divided by u?
27
Let o(n) = -3*n - 5. What is the remainder when (-9)/12 + 13167/228 is divided by o(-5)?
7
Let h(b) = -b**3 + 7*b**2 - 7. What is the remainder when h(3) is divided by 8?
5
Suppose 4*a = 11 + 1. Suppose a*r - 28 + 19 = 0. Calculate the remainder when 3 is divided by r.
0
Let s be (0 - (2 - 1)) + -4. Let p(r) = -3*r + 2. Calculate the remainder when 32 is divided by p(s).
15
Suppose -2*l - 2 = 2*j, -5*l + 4*j - 1 = 49. Let o(m) = -12*m - 15. Let i = 45 + -16. Calculate the remainder when o(l) is divided by i.
28
Calculate the remainder when (-6)/20 - (-5 - (-4527)/(-90)) is divided by 17.
4
Suppose -5*l + 8*l - 633 = 0. Let p = 307 - l. Calculate the remainder when p is divided by 11.
8
Let r(u) = 3*u**3 + 19*u**2 + 3*u + 4. Calculate the remainder when r(-5) is divided by 23.
2