f = -16. Calculate the remainder when d is divided by 6.
4
Let y = -223 + 369. Calculate the remainder when y is divided by 21.
20
Suppose x + 0 = 4. Let g(v) = -v**3 + 6*v**2 - 3*v - 7. Let l be g(5). Suppose l + 41 = x*n. Calculate the remainder when 31 is divided by n.
9
Let n be (-1 + 1)/(-2 + 0). Let h(v) = -v**2 - 2*v + 6. Let r be h(n). Let l(z) = z**3 - 6*z**2 + 3*z. Calculate the remainder when 71 is divided by l(r).
17
Let p(s) = -9*s + 8. Let g(c) = -8*c + 8. Let n(q) = -6*g(q) + 5*p(q). What is the remainder when 17 is divided by n(6)?
7
Let p be 0/(1*4/(2*-2)). Suppose p*a - 14 = -a. What is the remainder when 53 is divided by a?
11
Suppose -5*z = -2*h + 215, -3*z + 5*h = 32 + 116. Let c = -24 - z. What is the remainder when 27 is divided by c?
10
Suppose -84 - 384 = -36*g. What is the remainder when g is divided by 2?
1
Suppose -5*a + 4*a + 5*z = -11, -33 = -3*a - 3*z. Calculate the remainder when 120 is divided by a.
10
What is the remainder when 310 is divided by -13 - -13 - (0 - 78)?
76
Let p = -122 + 127. Calculate the remainder when 94 is divided by p.
4
Let o be (1/2)/((-3)/(-312)). Let j be (2/4)/(2/o). Let r = j - 4. Calculate the remainder when r is divided by 6.
3
Let n be (-4)/(-10) + (-1532)/(-20). What is the remainder when 88 is divided by 64/(-160) - n/(-5)?
13
Suppose i + 2*u - 7 = 0, 5*u - 6 = -3*i + 20. What is the remainder when 65 is divided by i?
14
Suppose 2*t = -t - 24. Let r = t + 37. What is the remainder when 142 is divided by r?
26
Let j = -368 + 745. Suppose 0 = -4*z - 3*b + 4*b + j, -3*z + b + 284 = 0. What is the remainder when z is divided by 32?
29
Suppose 4*f + 1 = 1. Suppose f = 4*k + 2*r - 70, 5*k - 5*r - 37 = 13. What is the remainder when 58 is divided by k?
13
Suppose 5 = 3*v + 2*r + 13, -5*r = 4*v + 20. Suppose -10 = 5*l - 2*b + 2, -2*l - 3*b - 1 = v. What is the remainder when 18 is divided by (l + 1)/((-4)/28)?
4
Suppose 0 = -x + q + 2*q - 4, -x + 20 = 5*q. Suppose 5*s + x*g = 45, 4*s - 6 = 4*g - 2*g. Calculate the remainder when (-2 - 0) + 5 + 9 is divided by s.
0
Suppose 0 = -57*z + 86*z - 145. Let t = -41 + 91. Suppose 2*g = 5*r - 2 + 42, t = 3*g - 5*r. What is the remainder when g is divided by z?
0
Let f = 425 - 215. Calculate the remainder when f is divided by 53.
51
Let q(l) = 2*l - 15. Let p = 32 - 25. Let s be q(p). Calculate the remainder when (s - -2)*2*21 is divided by 15.
12
Let g be (6 + -1 - 6)/(2/(-184)). Let d = g - 38. What is the remainder when d is divided by 21?
12
Let p(c) = 5*c**2 - 4*c + 3. Let j be p(2). What is the remainder when 69 is divided by 5/j*-2*-36?
21
Let x = -197 - -207. What is the remainder when 19 is divided by x?
9
Let u be 2 - (1 - (-1 + 3)). Let p(t) = 6*t - 15. What is the remainder when 8*(u - (-15)/12) is divided by p(4)?
7
Suppose 0 = -3*w - 7 + 25. Suppose 7*b = 6*b - 9. Let p = b - -18. What is the remainder when p is divided by w?
3
Let j = -89 - -94. Let x = 20 - j. What is the remainder when 102 is divided by x?
12
Let l = -235 + 844. What is the remainder when l is divided by 10?
9
Suppose 25*s = 26*s - 13. What is the remainder when 90 is divided by s?
12
Suppose u + 3*u + 4*z = 12, 5*u + 2*z - 9 = 0. Suppose 34 = 3*w + u. What is the remainder when w is divided by 7?
4
Let o(t) = 85*t - 334. What is the remainder when 237 is divided by o(4)?
3
Let s = 189 + -165. Calculate the remainder when s is divided by 21.
3
Suppose 336 = f + 308. What is the remainder when 113 is divided by f?
1
Let y(b) = 9 - 4*b + 0*b + 6*b + 2. What is the remainder when 8 is divided by y(-4)?
2
Suppose -x = -3*x + 254. Let q be 84/(-5)*(6 + -1). Let y = -52 - q. What is the remainder when x is divided by y?
31
Let h = -152 - -209. Calculate the remainder when 223 is divided by h.
52
Let m(v) be the third derivative of v**5/60 - v**4/24 + v**3/6 - 5*v**2. Let q be m(3). Suppose 4*w - 19 = -q. Calculate the remainder when 11 is divided by w.
2
Let t(s) = -s**3 - 5*s**2 + 2*s + 28. What is the remainder when 60 is divided by t(-5)?
6
Suppose 4*q - 13 = -5. Suppose q*w + 4*j - 32 = -w, 0 = w - j - 6. Calculate the remainder when w is divided by 5.
3
Suppose -5*c + 107 = 4*j, -4*j + 19 = -3*c + 64. Let s = -51 + 55. Calculate the remainder when c is divided by s.
3
Calculate the remainder when (-163578)/(-210) - (-10)/175 is divided by 29.
25
Let z = -62 - -68. Let b(u) = u**2 - 10*u + 26. Calculate the remainder when 2 is divided by b(z).
0
Let r be (-13)/2*(-3 + 1). What is the remainder when 153 is divided by r - (-4 - -1)*(-8)/24?
9
Suppose -61*t + 15*t + 7314 = 0. What is the remainder when t is divided by 8?
7
Let w(z) = z**3 - 20*z**2 - 1. Let d be w(20). Let u(j) = -31*j + 3. Calculate the remainder when u(d) is divided by 12.
10
Let y(d) = 15*d - 6 - 30*d + 14*d. Let s(r) = 5*r + 25. Let u(l) = -2*s(l) - 9*y(l). What is the remainder when 18 is divided by u(-6)?
8
Let u be 0 - 37 - 2 - (-1 - 1). Let j = u - -58. Calculate the remainder when 51 is divided by j.
9
Let r be 87/5 - (-22)/(-55). Suppose r = 7*s - 6*s. What is the remainder when s is divided by 4?
1
Let m be (22 - -1)*(1 - 0). Suppose -2*a + m = 5*b, -b - 32 - 9 = -2*a. Let w = a - 15. Calculate the remainder when w is divided by 2.
0
Suppose -50*a + 5060 = -4*a. What is the remainder when a is divided by 25?
10
Suppose 10*t - 55 = 1485. What is the remainder when t is divided by 13?
11
Let a = 903 - 490. What is the remainder when a is divided by 52?
49
Let a(p) = 7*p**2 + p. Let r be a(1). Let n(t) = t + 5 + t - 9*t + 14*t. What is the remainder when n(r) is divided by 16?
13
Let i be -2*(-5)/5*10. Suppose -o = -6*o + i. What is the remainder when 5 is divided by o?
1
Suppose 63*r - 65*r - 10 = 0, 4*q - 1232 = -4*r. Calculate the remainder when q is divided by 153.
7
Let k = -78 - -150. Let t = 27 - 25. Suppose 0 = t*u + 2*u - 100. Calculate the remainder when k is divided by u.
22
Let i(h) = h**3 + 10*h**2 - 11*h + 21. Suppose 6*v - 26 = 172. Let o be (1/(-3))/(1/v). What is the remainder when 41 is divided by i(o)?
20
Let x = -158 - -217. Calculate the remainder when 297 is divided by x.
2
Let x = -30 - -36. Suppose 3*s + 5*z - x = 20, -4*z + 6 = -5*s. What is the remainder when 2 is divided by 0 - 2/s*-1?
0
Let g = -19 - -32. Suppose -f + 4*t = 8, f - 5*t + 11 = -0*t. Calculate the remainder when g is divided by f.
1
Let h be 134/8 + 2/8. Let o = 6 + -2. Let k = h - o. What is the remainder when 51 is divided by k?
12
Let h(c) = 17*c + 236. What is the remainder when 260 is divided by h(-10)?
62
Let g = 13 + 14. Suppose -h - 3*c + 75 = 0, 3*h - c = 4*c + 155. Suppose 5*u - h = -2*v + g, -2*v - u = -67. What is the remainder when v is divided by 11?
9
Suppose 0 = -4*j + 3*d - 2 + 5, 3*d = 9. What is the remainder when 64 is divided by j?
1
Suppose -9*f + 125 = -4*f. Let n = -4 + f. What is the remainder when 103 is divided by n?
19
Let y(a) = -a**3 + 7*a**2 + 9*a - 8. Let r be y(8). What is the remainder when 3 is divided by (r + -4)*(-12)/24?
1
Let b(o) = -2*o**2 + 5*o + 18. What is the remainder when 178 is divided by b(0)?
16
Suppose 0*k - 165 = -5*k - 5*l, 2*l - 136 = -4*k. Suppose 0 = 2*p - 1 - k. Calculate the remainder when ((-1)/2)/(2/(-208)) is divided by p.
16
Let s(a) = 3*a**3 + 5*a**2 + 3*a - 5. Let t(g) = 13*g**3 + 20*g**2 + 11*g - 21. Let r(m) = -9*s(m) + 2*t(m). What is the remainder when r(-5) is divided by 11?
6
Suppose 0 = 5*s - 9*s + 24, 267 = 3*f + s. Calculate the remainder when f is divided by 2*11 + -3 + 3.
21
Let x = -19 - -31. Let k be (-14)/(-6) + 4/6. Suppose -20 - 46 = -k*y. What is the remainder when y is divided by x?
10
Let o be (-10)/10 + (-28)/(-2). Suppose -p = 2*t - o, 0*t - 39 = -5*p + 3*t. Suppose 3*z - p = 33. Calculate the remainder when 27 is divided by z.
13
Let b be 28/5 - 8/(-20). Suppose -t + 3 = -b. Calculate the remainder when 30 is divided by (-3)/t*8*-6.
14
Let f = -530 - -534. What is the remainder when 198 is divided by f?
2
Suppose -3*v = 2*n - 3026, -n - 369 = -v + 638. Suppose 0 = -2*b - 4*b + v. Calculate the remainder when b is divided by 58.
52
Let w(n) = -n + 12. Suppose a = 18 - 6. Let u be w(a). Suppose 4*x + y - 1 - 36 = u, -5*y + 41 = 4*x. Calculate the remainder when 24 is divided by x.
6
Suppose -42 = -4*t - 30. Let r(m) = 