. What is the remainder when r is divided by t?
10
Let v(i) = 2*i**2 + 2*i - 8. Let w be v(0). Let x(q) = -q**3 + 3*q**2 + 7*q - 1. Let g be x(5). Let f = w - g. What is the remainder when 29 is divided by f?
5
Let z = 52 - 30. What is the remainder when z is divided by (-4)/(-7) + 295/35?
4
Let w(r) = 16*r**2 - 3*r + 5. Let o be w(-5). Suppose 2 = 2*p - 10. Suppose p*y - o = 2*y. Calculate the remainder when y is divided by 27.
24
Suppose 0 = -0*z - 5*z + 165. Calculate the remainder when (-39)/(4 + z/(-6)) is divided by 15.
11
Suppose x + 43 = 11. Calculate the remainder when 10 is divided by 1*(1 - 3)*x/8.
2
Suppose 4*h - 5*v + 466 = 0, -4*h - 5*v = 226 + 260. Let z = -45 - -65. Calculate the remainder when (-2)/4 - h/2 is divided by z.
19
Let i(z) = 2*z**3 + 47*z**2 + 23*z + 31. What is the remainder when 59 is divided by i(-23)?
28
Let y(l) = -2*l - 13. Let v(k) = k + 3. Let t(z) = z**3 + 5*z**2 + 4*z + 2. Let x be t(-2). What is the remainder when y(-15) is divided by v(x)?
8
Let r be (6/(-10))/((-2)/10). Calculate the remainder when (-30)/(-12)*114/5 is divided by (-1 + -9)*r/(-2).
12
Let b(s) = -s**3 + 9*s**2 + 13*s + 29. Let x be b(11). Calculate the remainder when 63 is divided by (-94)/(-18) - x/(-315).
3
Suppose -9*o + 6*o + 15 = 0. Suppose o*c = 4*r - 24, 0 = 3*r - 0*c + 5*c - 18. What is the remainder when r is divided by 2?
0
Let b be (-9)/(-3) - 3 - 12. Let t = -7 - b. Suppose -t*i = -3*z + 21, 4*z + 2*i - 28 = -0*i. Calculate the remainder when 27 is divided by z.
6
Suppose 9 = 2*j + j. Let y(w) = w**j + 6*w**2 - 1 - w + 4*w - 2*w + w. Calculate the remainder when y(-5) is divided by 5.
4
Let w(h) = 3*h**3 - 10*h**2 + 11*h - 4. What is the remainder when 29 is divided by w(3)?
9
Suppose 0*v = 5*v. Suppose w - 5*c - 25 + 8 = v, 5*w - c = 13. What is the remainder when (-3)/w + 426/12 is divided by 9?
7
Suppose 5*k = -29 + 114. Calculate the remainder when 287 is divided by k.
15
Let q(y) = y**2 + 6*y. Let o be q(-8). Suppose -o = -2*a - 3*i + 2, -a + 4*i + 31 = 0. What is the remainder when 4/(-2)*(-473)/22 is divided by a?
13
Let g = 2836 + -2442. Calculate the remainder when g is divided by 104.
82
Let l = -153 - -322. Suppose 3*o = l - 16. What is the remainder when o is divided by 26?
25
Suppose -75*i = -127*i + 3900. What is the remainder when 161 is divided by i?
11
Let w = 235 - 64. Calculate the remainder when w is divided by 43.
42
Suppose 32*k - 105 = 25*k. What is the remainder when 312 is divided by k?
12
What is the remainder when -10 + 1 + 1492/4 is divided by 34?
24
What is the remainder when 2*(-4)/4 + (1 - -66) is divided by 6?
5
Let w = -23 + 29. Calculate the remainder when 2/w + (-89)/(-3) is divided by 11.
8
Let u(k) = 6*k**2 + 2*k + 5. Let y = -56 - -54. What is the remainder when 122 is divided by u(y)?
22
Suppose -5*y + 201 = -2*j + j, -2*j = 2. Suppose 4*t - 224 = 4*c, -2*c + t - 152 = -41. Let i = -34 - c. Calculate the remainder when y is divided by i.
19
Let n(m) = 2*m + 19. Let w = 3 - -16. What is the remainder when n(8) is divided by w?
16
Let y be ((-34)/3)/(2/(-6)). Suppose -19 - 126 = 5*w. Let q = w + y. What is the remainder when 12 is divided by q?
2
Suppose 2*c + 14 = r + c, -c = 0. Suppose -5 = -0*h + 5*h, 188 = -4*t - 4*h. Let k = t - -72. What is the remainder when k is divided by r?
12
Let g = -23 - -50. Let o(t) = -41*t - 281. Calculate the remainder when g is divided by o(-7).
3
Let r(w) be the first derivative of w**4/4 - 8*w**3/3 + w**2 - 11*w - 69. Let z be (-1)/(-1) + (6 - -1). Calculate the remainder when r(z) is divided by 4.
1
Let v = 61 - 57. Suppose 0 = c - v*g + 15 - 4, 4*c - 51 = -3*g. What is the remainder when c is divided by 5?
4
Let y = -30 + 97. What is the remainder when 2*(0 + y/2) + 0 is divided by 10?
7
Let r be 4 - 1 - (-4 - -2). Suppose 7*b + 1 = 2*g + 8*b, -5*g = 3*b. Suppose k + k - r*i = 137, g*i = -3. What is the remainder when k is divided by 17?
15
Suppose 2*i = 5*y + 37, 2*y + 2 - 7 = -i. Let j = i + -8. Suppose -8*f + 155 = -j*f. What is the remainder when f is divided by 11?
9
Let y be (-156)/(-42) + 4/14. Suppose -y*w - 4 = 0, 3*p + 7 = w + 50. Suppose -89 = -4*m + 3*f, 3*f = 8 + 7. What is the remainder when m is divided by p?
12
Suppose -a + 2 = 5*r - 8, 2*r + 47 = 3*a. Suppose -5*l - 1 = -31. Calculate the remainder when (-34 - 4)*l/(-4) is divided by a.
12
Suppose 3*b = 2*b + 30. Let o be ((-20)/b)/(2/(-6)). Suppose -2*d - 1 = o*n - 59, -2*n + 2*d = -54. What is the remainder when 110 is divided by n?
26
Calculate the remainder when (((-100)/8)/(-5))/((-13)/(-234)) is divided by 8.
5
Let v = -49 - -1638. What is the remainder when v is divided by 43?
41
Let f(p) = p**2 - 5*p - 12. Suppose j = g + 4, j = 5*g - 4 + 12. What is the remainder when j is divided by f(7)?
1
Suppose -4*l - 2*j + 178 = 0, -4*l + 58 + 119 = j. Let w(b) = 172*b**2 + b. What is the remainder when w(1) is divided by l?
41
Suppose -15*r = 3*r - 306. Calculate the remainder when 1800 is divided by r.
15
Let f = 137 - 118. What is the remainder when 474 is divided by f?
18
Let m(p) = p**2 - 7. Let j(l) = 14*l - 44. Let d(w) = -5*w + 15. Let f(c) = 17*d(c) + 6*j(c). Let u be f(-6). What is the remainder when 2 is divided by m(u)?
0
Suppose 0 = -4*s, 2*w + 5*s = 6*w - 888. What is the remainder when w is divided by 33?
24
Let m(u) = 12*u + 19. Let h be m(-6). Let b = h + 88. What is the remainder when 104 is divided by b?
34
Let k = -70 + 85. Suppose -2*b + 40 = 3*d, -d + 2*b + 3*b = k. Calculate the remainder when 47 is divided by d.
7
Suppose 13*m - 22*m + 63 = 0. Calculate the remainder when 258 is divided by m.
6
Suppose 0 = 6*s - 2*s - 336. Let f = s + -25. Let p = -33 + f. What is the remainder when p is divided by 10?
6
Suppose -25*m = -9*m - 752. What is the remainder when 140 is divided by m?
46
Suppose 53*y = 67*y - 644. What is the remainder when 408 is divided by y?
40
Let h(m) = 6*m + 62. Let d be h(-10). Suppose 0 = k - 2*q - 31, 72 = 5*k - d*k + q. Calculate the remainder when k is divided by 15.
10
Let b = 152 + -75. Calculate the remainder when 123 is divided by b.
46
Let i(c) = c**3 + 10*c**2 + 5*c. Let d be 3 + -3 + -2 + 6. Suppose -27 = 4*x + 5*p - 10, -20 = x - d*p. What is the remainder when i(x) is divided by 30?
28
What is the remainder when 135 is divided by (3 - (2 + -44)) + 2?
41
Let d = -434 - -454. Calculate the remainder when d is divided by 4.
0
What is the remainder when 198 is divided by (-1016)/(-30) - (-22)/165?
28
Suppose 108 - 640 = -4*t + 2*d, 3*d + 12 = 0. Suppose -p + 83 = -4*m, t + 151 = 3*p - m. Calculate the remainder when p is divided by 32.
31
Let r = 21 + -47. Let q = r + 47. Let w(l) = 60*l + 1. Calculate the remainder when w(1) is divided by q.
19
Suppose -37 = 8*u - 381. Calculate the remainder when 257 is divided by u.
42
Let p(o) = 36*o - 456. Calculate the remainder when p(16) is divided by 39.
3
Let i be (((-8)/5)/1)/((-3)/(-15)). Let s(p) = -23*p - 26. What is the remainder when s(i) is divided by 40?
38
Calculate the remainder when ((-16)/28)/((-38)/16359) is divided by 19.
18
Let x(w) = -33*w - 49. What is the remainder when x(-4) is divided by 14?
13
Suppose 0*x = x - 1, -4*j = x - 53. What is the remainder when (616/(-20))/((-6)/15) is divided by j?
12
Suppose -11*q + 3816 = 42*q. What is the remainder when q is divided by 35?
2
Suppose 3*n - 3395 = -4*a, -2*n + 9*a - 7*a + 2268 = 0. Calculate the remainder when n is divided by 57.
50
Let j(m) = m - 2. Let b be j(2). Suppose 0 = -4*v - 20, z + 2*v + 4 = -b*v. Suppose -76 = -z*f + 8. What is the remainder when f is divided by 9?
5
Suppose 2*f - 16 = -r, 2*r - 4*f = 20 + 28. Suppose -4*w = -u + r, -2*u = -5*w + 7 - 56. What is the remainder when 90 is divided by u?
26
Let n(g) = -24*g**3. Let d(a) = -9*a - 28. Let l be d(-3). What is the remainder when 119 is divided by n(l)?
23
Suppose g = 5*q - 132, 2*g = 14 - 18. What is the remainder when 283 is divided by q?
23
Suppose -1764 = 4*z - 1780. Calculate the remainder when 321 is divided by z.
1
Suppose 45 = 5*k - g, 0*k + 5*g + 65 = 5*k. Suppose 5*d - 2*z - 80 = 3*z, -3*d = -z - 48. Let c = d + k. What is the remainder when c is divided by 13?
11
Let o(u) = u**2 - 2*u + 2. Let r = -326 - -329. Calculate the remainder when o(