t r(y) = y - 33. Let j(i) = 3*q(i) + 8*r(i). Calculate the remainder when 65 is divided by j(0).
32
Suppose y + 2*y + 69 = 0. Let c = y + 62. What is the remainder when c is divided by 5*((-172)/(-65) + 6/39)?
11
Suppose -3*g + 572 = -4*c, 3*c - 905 = -2*g - 3*g. Let b(x) = x**3 - 9*x**2 - 9*x - 8. What is the remainder when (-2)/(-5) + g/40 is divided by b(10)?
1
Let v(i) = 14*i**2 + 3*i + 3. Let p be v(-2). Suppose -4*y = -j - y + p, j = y + 43. Calculate the remainder when j is divided by 3/(-1)*14/(-3).
10
Let b(z) = z**3 - 10*z**2 + 3*z - 1. What is the remainder when 52 is divided by b(10)?
23
Let h(g) = -12*g - 3. Calculate the remainder when 61 + -1 + (-3)/3 is divided by h(-2).
17
Let n(j) = -j**3 - 14*j**2 + 32*j + 48. What is the remainder when n(-16) is divided by 25?
23
Suppose -2*c = -4*t - 118, -2*c + t = 5*t - 142. Calculate the remainder when c is divided by 17.
14
Suppose 8 - 17 = -l. Suppose s = m + l, 5*m - 4*m - 30 = -2*s. Suppose 38 + 137 = 5*r. What is the remainder when r is divided by s?
9
Suppose j - 5*j + 4*h + 168 = 0, 5*j + 5*h = 240. Calculate the remainder when 125 is divided by j.
35
Let b = -775 + 1022. What is the remainder when b is divided by 124?
123
Let m(z) = -51*z - 24. Suppose 0 = -4*u - 2*h - 0*h - 30, 0 = 3*u - 3*h. Calculate the remainder when m(u) is divided by 47.
43
Let a = -29 - -28. What is the remainder when (-1 + -53)/(a - 0) is divided by 20?
14
What is the remainder when ((-15)/(-2))/((315/480)/7) is divided by 26?
2
Let u = 1135 + -1096. What is the remainder when 660 is divided by u?
36
Suppose 75*y - 57*y - 900 = 0. What is the remainder when y is divided by 7?
1
Let d(g) = -g**3 + 8*g**2 + 7*g + 3. What is the remainder when d(4) is divided by 52?
43
Suppose 3*j - 2*p - 121 = 0, j - 51 = -4*p + 22. Suppose 2*l - 5 = l. Let y = l + 3. What is the remainder when j is divided by y?
5
Suppose 0*l + 3*l = 9. Calculate the remainder when 23 is divided by 3 - -4*2 - l.
7
Let t(k) = k**3 + 9*k**2 + 8*k + 6. Let x be t(-7). Suppose -u + g + 2*g = -24, g + x = 2*u. What is the remainder when 41 is divided by (u + (-2 - 0))/2?
8
Suppose 70*l - 4*v - 484 = 65*l, 0 = -3*l - 2*v + 308. Calculate the remainder when l is divided by 49.
2
Let i be (-4)/22 + (-272)/(-44). Let j(x) be the second derivative of x**5/20 - 5*x**4/12 - 7*x**2/2 - 2*x. Calculate the remainder when 114 is divided by j(i).
27
Let u = 43 + -41. Suppose 3*b = 16 + u. Let h = 23 - 8. What is the remainder when h is divided by b?
3
Suppose 0 = 4*l - 3*g + 5*g - 68, 52 = 3*l + g. Suppose -36*d + 2*p = -37*d + 98, -3*p = -4*d + 436. Calculate the remainder when d is divided by l.
16
Let c = -762 + 808. Let u(m) = m + 89. What is the remainder when u(0) is divided by c?
43
Suppose -87 = -x - 4*z, -5*x + 47 = -2*z - 300. What is the remainder when 352 is divided by x?
68
Suppose -36 = -i - 3*c, 5*i - 7*c + 5*c - 214 = 0. What is the remainder when 151 is divided by i?
25
Suppose 3*z + 5*r - 28 = 0, 2*z + 2*z = -r + 43. Suppose j = 4*b - 428 + 622, -2*j + 2*b = -376. What is the remainder when j is divided by z?
10
Let p be 4/(-14) + (-2132)/(-14). Let l = p - 108. Suppose -4*w + 116 = -l. Calculate the remainder when w is divided by 14.
12
Suppose 4*g + 87 = 3*p + 7*g, -4*p + 125 = g. What is the remainder when p is divided by (17/(-4))/(2/(-8))?
15
Let s(k) = 5*k + 3. Suppose -29*m + 30*m + 2 = 0. Calculate the remainder when s(4) is divided by 4/(m - (-10)/4).
7
Suppose -212 = -b - g, b - 5*g - 119 - 87 = 0. What is the remainder when b is divided by 36?
31
Suppose 17*n = 21*n - 128. Let j = n - 24. Calculate the remainder when 21 is divided by j.
5
Suppose 84*p = -68 + 3092. Calculate the remainder when p is divided by 21.
15
Suppose 86 = 4*o - o - 4*q, 0 = 5*q + 25. What is the remainder when 790 is divided by o?
20
Let s = 2838 + -2755. Let q(i) = -i**3 + 21. Suppose -a = -2*a. What is the remainder when s is divided by q(a)?
20
Let b(j) = -11*j - 6. Let t be b(-1). Suppose -t*q = -124 - 121. Calculate the remainder when q is divided by 25.
24
Suppose 2*t - 3 = 25. Suppose 0 = 5*q - l - 201, 6*q - 4*q - 79 = -l. Suppose -4*r = q - 256. Calculate the remainder when r is divided by t.
12
Let v(g) = 7*g + 52. What is the remainder when 69 is divided by v(-4)?
21
Let j(a) = -a**3 - 5*a**2. Let c be j(-5). What is the remainder when 22 is divided by (0 + 2)*(6 + c)?
10
Let a = -1285 + 1418. What is the remainder when 527 is divided by a?
128
Let b = 1874 + -1836. Calculate the remainder when b is divided by 3.
2
Suppose 0 = -q + 15 + 3. Suppose -3*m - 5*p - 19 = 0, -m = -254*p + 257*p + 17. What is the remainder when q is divided by m?
4
Suppose -6*r = 15*r - 483. What is the remainder when 42 is divided by r?
19
Let t(c) = -6*c + 2. Let k(b) = 17*b - 6. Let g(m) = 3*k(m) + 8*t(m). Let a be g(2). Suppose 0 = -u - a*u + 45. Calculate the remainder when 34 is divided by u.
7
Suppose -w - 2*w - 2*d + 127 = 0, 0 = -w - d + 43. Calculate the remainder when 70 is divided by w.
29
Suppose -231 = -2*k + 25. What is the remainder when k is divided by 6?
2
Suppose p + 9 = x, -4*x - x = -4*p - 35. What is the remainder when 27 is divided by 37/6 - p/(-60)?
3
Let f = 182 - 103. Let i = f + -25. Calculate the remainder when i is divided by 19.
16
Suppose -2*s + 12 + 6 = 0. Suppose -2*w - s = -5*w. Suppose -16 = -w*k + 26. Calculate the remainder when 27 is divided by k.
13
Let j = -7 + 16. Suppose -5*d + 10 = 5*l, 14 = 4*d + 2*l - 0*l. Suppose 6*g = d*g + 25. Calculate the remainder when g is divided by j.
7
Let h be (-44)/(-10) - (-10)/(-25). Suppose -h*g + 109 = -79. Calculate the remainder when g is divided by 10 - 3/(6/(-4)).
11
Let o(v) = -10*v + 648. What is the remainder when 269 is divided by o(60)?
29
Let o(n) = n**2 + 8*n - 81. Calculate the remainder when 49 is divided by o(7).
1
Let a be -2 + 7/(-2)*10. Let u = a + 67. What is the remainder when 57 is divided by u?
27
Suppose 0 = -2*a + 6 - 36. Calculate the remainder when (-741)/a - (-10)/(-25) is divided by 13.
10
Let w(u) = 3*u**2 + 9*u + 4. Let k = 34 + -29. What is the remainder when w(k) is divided by 25?
24
Let a(l) be the first derivative of -l**4/4 + 31*l**3/3 + 16*l**2 + 23*l - 41. Calculate the remainder when 84 is divided by a(32).
15
Let g(x) = 10*x - 79. Calculate the remainder when 369 is divided by g(10).
12
Suppose -84*g + 27 + 1401 = 0. What is the remainder when 36 is divided by g?
2
Let u be (-1 - 0 - -2) + 74. Let j be 4*7/((-112)/(-12)). Suppose -5*m = 0, -2*b + u + 19 = -j*m. What is the remainder when b is divided by 12?
11
Let y(q) = -q - 6. Let t be y(-6). Let n = t - -3. Let a = 438 + -429. What is the remainder when a is divided by n?
0
Suppose 2*u = 3*c + 76, 4*c = 3*u + c - 117. What is the remainder when 163/((3 - 1)/2) is divided by u?
40
Let s be (2/(-6))/((-3)/198). Let a = s - 5. Let m = a - 11. Calculate the remainder when 10 is divided by m.
4
Suppose 4*y - 11 = j, 4*y - 2*j = -0*j + 6. Calculate the remainder when 1657 is divided by y.
1
Suppose 2*h + 4*q + 59 = 3*h, -5*q - 265 = -5*h. Calculate the remainder when h is divided by ((-32)/(-240)*78)/(4/10).
25
Let f(y) = -37*y + 7. Suppose 4*h + 82 - 78 = 0. What is the remainder when 86 is divided by f(h)?
42
What is the remainder when (2272/(-4) - -2)*5/(-10) is divided by 36?
31
Suppose -3*l + 25 = -4*t, -46 = -3*l + 2*t - 17. Let v be 42/((-3)/(-9)*3). Let i = v - -23. Calculate the remainder when i is divided by l.
10
Let j be (6*2)/3 + -2. Suppose -j*m - 96 = -6*m. Calculate the remainder when ((-75)/12)/((-3)/m) is divided by 13.
11
Suppose 6*w - w = -15, 5*m - 403 = -4*w. Let g = m - 43. What is the remainder when g is divided by (-3)/5 - (-174)/15?
7
Let b(q) = q**3 - 6*q**2 - 3*q + 4. What is the remainder when b(7) is divided by (-1 - (-96)/(-40))*-5?
15
Suppose 2*g - 4*t - 22 = 0, -3*g = -2*t - t - 48. Calculate the remainder when 501 is divided by g.
18
Let o(k) = -k + 7. Let l be o(-3). Let y = 105 - l. Calculate the remainder when y is divided by 32.
31
Let z(i) = -i**2 - 6*i - 2. Let s be z(-5). Let d = 34 - s. Suppose -a - 5*p + d = a, -a - 5*p + 13 = 0. Calculate the remainder when 33 is divided by a.
15
Suppose 0*m - 3*m + 30 = 0. Let z = -1 + m. Calculate the remainder when z is 