33. Calculate the remainder when t is divided by 51.
49
Let h(a) = a**3 - 8*a**2 + 10*a - 8. Let u(p) = 2*p**3 - p**2 - 4*p + 3. What is the remainder when h(7) is divided by u(2)?
6
Let x(w) = w**3 - 36*w**2 - 32*w - 156. Let l = -2 + 4. Suppose -5*u = -2*a + 21, -l = 2*u - 0*u. What is the remainder when x(37) is divided by a?
5
Suppose -155 = -3*r + 4*n + 848, -3*r = -2*n - 1013. What is the remainder when r is divided by 84?
5
What is the remainder when 171 is divided by (86/7)/(16/56)?
42
Let l be -4 - (-4 - -6) - 1. Calculate the remainder when 23 is divided by 616/98 - (-2)/l.
5
Let t be -3 + 1/(-1)*-13. Let b(o) = o - 10. Let i be b(t). Suppose 3*y + 42 = 4*v - 5, -3*v - 5*y + 28 = i. What is the remainder when 41 is divided by v?
8
Suppose y + 2*f - 132 = 35, -461 = -3*y + 2*f. Calculate the remainder when y is divided by 10.
7
Suppose -4*c = -4*n - 8, n + 5*c = 19 + 9. Suppose -4*q - q + 19 = l, 0 = n*l + 3. What is the remainder when 27 is divided by q?
3
Suppose 2 = 4*d - 3*l, 3*l + 4 = 10. Suppose -4*w - d = -34. What is the remainder when 70 is divided by w?
6
Suppose -3*k + 36 = -36. What is the remainder when 89 is divided by k?
17
Suppose 0*s = -2*s - 70. Let x = s - -106. What is the remainder when x is divided by 36?
35
What is the remainder when 5 is divided by (7 - 3) + 0 + -1?
2
Let z = -1 - -6. Suppose 2*s + 112 = -z*w, -4*w - w + 3*s - 132 = 0. Let g = w + 41. Calculate the remainder when g is divided by 4.
1
Let x = 27 + -40. Let m = x - -38. What is the remainder when m is divided by (-11 + -3)*(-1)/2?
4
Suppose 0 = -4*t - b - 390, 0 = -2*t + b - 86 - 112. Calculate the remainder when (t/(-42))/(2/30) is divided by 12.
11
Suppose -5*c - j = -7, 2*j + 2*j = -3*c - 6. Let x = c - -31. Calculate the remainder when x is divided by 12.
9
Let s be ((-1)/(-4)*-2)/(4/(-1880)). Suppose -4*c + 49 = -s. Calculate the remainder when c is divided by 12.
11
Let r = 348 - 233. Suppose -4*a = -3*h - 119, 2*a - 3*h - 62 = h. Calculate the remainder when r is divided by a.
28
Suppose -7*w - 300 - 50 = 0. What is the remainder when 8 is divided by (-2)/6 - w/15?
2
Let l be ((-12)/8)/((-6)/16). Suppose 12*x = l*x + 352. Calculate the remainder when x is divided by 15.
14
Suppose -2*w = 2 - 28. What is the remainder when (30/(-90))/((-1)/108) is divided by w?
10
Let s(c) = c**2 + 3*c - 3. Let r be s(2). Let h(y) = 8*y**2 - 2 - 9*y + r + y**3 + 6. What is the remainder when h(-9) is divided by 4?
3
Let q = 2051 - 1853. Calculate the remainder when q is divided by 88.
22
Suppose -14 - 376 = 6*y. Let n = y - -112. What is the remainder when n is divided by 8?
7
What is the remainder when 107 is divided by (996/(-72))/(7/(-42))?
24
Suppose 2*d = 4*j, -2*d + j + 10 = -4*d. Suppose 0 = 2*r - h - 407, 4*h = 2 + 2. Calculate the remainder when r/8*d/(-6) is divided by 9.
8
Suppose -46 + 16 = -3*h. Let s(b) = -3*b - h + b + 3 - 2*b. What is the remainder when 51 is divided by s(-5)?
12
Let c = -41 + 60. Let b(z) = -z + 27. Calculate the remainder when b(0) is divided by 198/14 - c/133.
13
Let t(g) = g**2 - 15*g - 6. Let q be t(-6). Suppose -4*c - 120 = -5*b, 0*b - 5*b = 3*c - q. What is the remainder when b is divided by 7?
3
Let l be 3/(3 - (-900)/(-304)). Let m = -45 + l. Calculate the remainder when m is divided by 14.
3
Let v(g) = g**2 + 47*g - 176. Suppose -2*z + 5*z = 18. What is the remainder when v(4) is divided by z?
4
Suppose 0 = -5*t + 5*p - 0*p + 485, 0 = 2*t - 3*p - 190. What is the remainder when t is divided by 8?
5
Let c = -423 + 454. Let k = -39 - -131. Calculate the remainder when k is divided by c.
30
Let v = 340 - 201. Suppose -4*y = -v - 337. What is the remainder when y is divided by 30?
29
Let n be ((-9)/(-3))/3 - 1. Suppose 4*z + n*z = 36. What is the remainder when 26 is divided by z?
8
Let z = -6 + 25. Let d = z - 10. What is the remainder when d is divided by -1 + 5 + 2/(-2)?
0
Suppose -584 = 328*n - 332*n. What is the remainder when n is divided by 15?
11
Suppose 4*p + 2*i = 14, -8*i + 4*i = -4. Suppose -233 = -p*v + 253. Calculate the remainder when v is divided by 33.
30
Let q(u) = -3*u + 83. Let z be q(19). Suppose -15*b + z = -964. Calculate the remainder when b is divided by 23.
20
Let b(h) = h + 8. Let y be b(-6). Let x(i) = 10*i**2 - 3*i**2 + 0*i**3 - 2 - 2*i - y*i - i**3. What is the remainder when x(5) is divided by 8?
4
Suppose 4*d + 0*q - 972 = -2*q, -996 = -4*d + 4*q. Suppose -25*j = -20*j - d. Calculate the remainder when j is divided by (-13)/((-2)/(1 + 1)).
10
Let v(h) be the second derivative of 33*h**5/10 - h. Let o = -513 + 530. Calculate the remainder when v(1) is divided by o.
15
Let t(y) = -y + 42. What is the remainder when 672 is divided by t(15)?
24
Let l be ((-33)/(-6))/(5/30). Let q = 63 - l. What is the remainder when 59 is divided by q?
29
Let c(v) = -v**3 - 13*v**2 + 15*v - 11. Let y(q) = q**3 + 14*q**2 - 16*q + 11. Let m(w) = -6*c(w) - 5*y(w). Calculate the remainder when 35 is divided by m(-9).
15
Let u = -2 + 4. Suppose -v + 2*d + 3 + u = 0, 0 = 5*d - 5. Calculate the remainder when (-54 - -46) + 1 + 32 is divided by v.
4
Suppose 3*l - 11 - 13 = 0. Suppose 0 = -2*b - 2 + l. Let o(t) = 5*t + 3. What is the remainder when 52 is divided by o(b)?
16
Let t = 9810 - 9802. What is the remainder when t is divided by (-2)/(-3) + (-14)/(-6)?
2
Let o be 2/6 + ((-93)/9 - 7). Let y(d) = d**2 + 16*d - 2. What is the remainder when y(o) is divided by 7?
1
Suppose h + 2*h = 339. Suppose 6*o - o = -3*p + h, o + 89 = 3*p. What is the remainder when 38 + -37 - (-240)/2 is divided by p?
28
Suppose 0*d - 3 = -d. Suppose 2*z + d*z = 280. Let m = 2119 + -2090. Calculate the remainder when z is divided by m.
27
Let x(h) = -h**3 - h**2 + 23*h - 21. What is the remainder when 605 is divided by x(-6)?
17
Suppose 16*z = -35*z + 1173. What is the remainder when 74 is divided by z?
5
Suppose -2*m = -2*i - 224, 351 = 3*m + 4*i - 2*i. Suppose 5*s + 9 = 2*s, 0 = 3*f + s - 300. Suppose -3*g + f = 14. What is the remainder when m is divided by g?
28
Suppose 3*r - 2*g = -r + 14, -2*r - g = -13. Suppose 26 = m + 2*v, r*m - v - 68 = 84. What is the remainder when 118 is divided by m?
28
Let c = -161 + 168. What is the remainder when 20 is divided by c?
6
Let w(i) = 4*i**2 - 3*i - 1. Calculate the remainder when 89 is divided by w(2).
8
Let q = 10 - -6. Suppose -4*z + 43 = w - 23, 5*z - 83 = -w. Suppose -s + q = -z. Calculate the remainder when s is divided by 12.
9
Let n be (-4)/(-6) - 22/(-3). Let a = 18 + n. Let t(b) = 2*b + 26. Calculate the remainder when t(12) is divided by a.
24
Let x(q) = -q**3 - 6*q**2 + 5*q - 9. Let j be x(-7). Suppose 0 = -4*w - 2*h + 6*h + 140, 3*w - j*h - 113 = 0. What is the remainder when 61 is divided by w?
30
Suppose 5*u + 2*v = -0*v + 75, 3*u = -5*v + 64. Let g = 26 - u. What is the remainder when 37 is divided by g?
11
What is the remainder when (-994)/(-21)*((-4)/4 + 58) is divided by 15?
13
Let q(a) = 6*a + 30. Calculate the remainder when q(0) is divided by 20.
10
Let q(p) = -13. Let r(f) = f - 1. Let w(o) = q(o) - 3*r(o). What is the remainder when w(-9) is divided by (6/(-4) + 0)*336/(-126)?
1
Suppose 5*g + 4 + 11 = 0, -19 = -i + 4*g. What is the remainder when 12 is divided by i?
5
Let w = -51 + 29. What is the remainder when (-4)/22 + (-1)/(w/1742) is divided by 27?
25
Calculate the remainder when 4/(-14)*(-82 + -919) is divided by 90.
16
Suppose 0 = -f + 5*l + 2, 5*f - 1 = -4*l + 9. Calculate the remainder when 217 is divided by f.
1
Calculate the remainder when 11 is divided by 1/((24/6)/4).
0
Suppose -1 = -2*q + 5. Suppose q*a - 11 - 22 = -m, 34 = m + 4*a. Calculate the remainder when m is divided by 11.
8
Suppose 12*b = -b + 273. Let t = 138 - b. Suppose 4*h - 4*x = 115 + 17, 69 = 2*h - 3*x. What is the remainder when t is divided by h?
27
Calculate the remainder when (-32 - 10/(-2))*-1 is divided by 2/(-2) - -2 - -13.
13
Suppose -2*q + 3*g - 9 = -45, g = -4*q + 100. What is the remainder when 45 is divided by q?
21
Let b be 8*(-5)/(-40) + 11/1. Suppose b*l - 221 = -l. Calculate the remainder when 67 is divided by l.
16
What is the remainder when 510 is divided by -2*6/12 + 74?
72
Suppose 4*k = -61 + 17. Let j(q) = 10*q**2 + 4 - 3 - 14*q + 2 + q**3. Calculate the remainder wh