3948. Suppose -19*p = -b - 792. Calculate the remainder when p is divided by 15.
14
Let w be -1 + (5 + -5)*-1. Let c be 0 - (2 - 2 - w)*-78. Suppose -3*f = 33 - c. What is the remainder when 32 is divided by f?
2
Suppose 5*n - 1579 = -17*k + 16*k, -9*k = -3*n + 909. What is the remainder when 38429 is divided by n?
314
Let q = 55 + -56. Suppose 0 = -2*g + 36 + 32. What is the remainder when g is divided by ((q - 1) + 5)*-1 + 10?
6
Suppose 0 = -2*y + 3*k - 219, -4*k + 73 = -2*y - 141. Let t = y - -168. What is the remainder when 182 is divided by t?
29
Suppose 6*o - 4977 = -3*o. Let k = o - 507. Calculate the remainder when 80 is divided by k.
34
Suppose -5*h - 3*r = -6811, 100 - 112 = 4*r. Calculate the remainder when 1372 is divided by h.
8
Let m = -260 - -403. Suppose -7*w = -47*w - 16*w + 1008. Calculate the remainder when m is divided by w.
17
Let t be 5151/27 - 6/(-27). Suppose -10*s + 149 + t = 0. Suppose 5 = 4*b - 23. Calculate the remainder when s is divided by b.
6
Let b = -816 - -808. What is the remainder when 50 is divided by (-44)/b + 4/8 + 0?
2
Suppose a = 10 - 4. What is the remainder when 29 - -61 - 99 - 68/(-1) is divided by a?
5
Let h = 23 - 49. Let g be (1*-2)/(h/26). Suppose -g*y = 1 - 7. Calculate the remainder when 6 is divided by y.
0
Let b(a) be the first derivative of -a**4/4 - a**2 + 14*a + 21. What is the remainder when 24 is divided by b(0)?
10
Let a(m) = 2*m**3 - 17*m**2 + 6*m + 29. What is the remainder when 219 is divided by a(8)?
11
Let z(q) = q**3 + 5*q**2 + 4*q + 4. Let y be z(-4). Let f(d) = 3*d**3 - 2*d**2 - 5*d - 1. What is the remainder when f(y) is divided by 42*(4 + 20/(-6))?
27
Let o(x) = 5 - 14 + 7 + 9 + x. Let p be o(6). Suppose -4*c + 41 = p. What is the remainder when 12 is divided by c?
5
Suppose -44*k + 19*k - 3*w + 984 = 0, -5*k + 189 = -2*w. What is the remainder when 1399 is divided by k?
34
Let y(q) = 987*q**2 - 412*q + 412. What is the remainder when y(1) is divided by 286?
129
Suppose -10*o = 4*o + 5040. Let s = o + 382. Calculate the remainder when 1/2 + (-166)/(-4) is divided by s.
20
What is the remainder when (-6412)/70*(4 + (-4 - 5)) is divided by 33?
29
Let g(w) = -10*w + 16. Let l be g(-13). Suppose 0 = 3*k - 53 - 226. Let j = l - k. Calculate the remainder when j is divided by 29.
24
Suppose 0 = 3*i - 9, 2*c = -134*i + 139*i + 143. Suppose -51 = -5*h + 89. Calculate the remainder when c is divided by h.
23
Suppose -2*m = 5*w - 145, 2*w - 6*w - 3*m = -109. What is the remainder when 20 is divided by w/7 - (-5)/(245/(-21))?
0
Suppose 45 = 2*c - 35. Let t = -79 - 181. Let w = t + 274. What is the remainder when c is divided by w?
12
Suppose 13*r - 1055 + 97 = 4424. What is the remainder when 451 is divided by r?
37
Suppose u - 20*u = -7847. Let s = 438 - u. Calculate the remainder when 57 is divided by s.
7
Suppose -3*y + 184 = 28. Suppose -76 = -5*w + t, -2*w - 4*t = t - y. What is the remainder when w is divided by 10?
6
Let s = 47 + -26. Suppose -8*i + 25*i = 85. Suppose i*h = 2*h + s. What is the remainder when h is divided by 4?
3
What is the remainder when 4104 is divided by (1 + 34)/1 - ((-11 - -29) + -20)?
34
Let j(z) = 3*z + 77. Let l = -423 - -405. Let t(a) = 4*a**2 - 2*a + 1. Calculate the remainder when j(l) is divided by t(2).
10
Suppose 0 = -u - 3*i + 36, 1193 - 1268 = -3*u + 2*i. Calculate the remainder when (-3)/2*(-536)/6 is divided by u.
26
Suppose -24*q = -10*q - 462. Let f = 11 + 4. Let m = 34 - f. What is the remainder when q is divided by m?
14
What is the remainder when 92 is divided by (5 - 3 - 17)/(-5 - (-280)/60)?
2
Let t(i) = 2*i**2 - 1 + 406*i - 816*i + 410*i + 6*i**3 + 4. Calculate the remainder when 941 is divided by t(2).
56
Let m(d) = -d**2 + 57*d + 344. What is the remainder when m(49) is divided by 80?
16
Suppose 8423*s + 119 = 8424*s - 3*g, 0 = 2*g - 18. Let a = -58 + 108. Calculate the remainder when s is divided by a.
46
Let w(g) = g**3 - 9*g**2 - 7*g + 3. Suppose -5*h - 14 = 5*o - 34, -4*h + o = -16. Calculate the remainder when w(10) is divided by (-2)/(-3) - -68*h/24.
9
Let f(s) = s**2 + 8*s - 13. Suppose 0 = 8*c - 7*c + 2*i + 11, 3*i = -2*c - 22. Calculate the remainder when 111 is divided by f(c).
11
Let p(j) = j**2 + 61*j - 665. What is the remainder when p(17) is divided by 3?
1
Let g(r) = 2*r**2 - 6*r + 4. What is the remainder when g(-5) is divided by 6/33 + (-5240)/(-220)?
12
Suppose 12*m - 761 = -7757. Let c = -575 - m. What is the remainder when c is divided by 6?
2
Suppose -2*g - 5*r = -1604, -3469*r + 3470*r = 8. Calculate the remainder when g is divided by 35.
12
Suppose -3*l = 5*i - 0*l - 1189, -4*i = -2*l - 960. Calculate the remainder when i is divided by 22.
19
Suppose -73*p = -65*p - 5552. Calculate the remainder when p is divided by 223.
25
Suppose 105*l - 7*l + 59*l - 11147 = 0. Let t = 17 - 8. Calculate the remainder when l is divided by t.
8
Let f = -14412 - -14568. Calculate the remainder when 1244 is divided by f.
152
Suppose i + 3*p - 612 = 0, -2*p - 243 + 245 = 0. Calculate the remainder when i is divided by 12.
9
Suppose -j = -4*x - 7664, 2*j + 3*j - 38339 = x. What is the remainder when j is divided by 118?
116
Let n(o) = -452*o - 3942. Calculate the remainder when 139 is divided by n(-9).
13
Let f(v) = -2*v**3 - v**2 + 31*v + 20. Let r(l) = -3*l**3 - l**2 + 46*l + 30. Let c(h) = 8*f(h) - 5*r(h). Calculate the remainder when 16 is divided by c(-6).
6
Let v = 170 - 160. Suppose 3*f + q - 48 = 0, v*f + 5*q = 7*f + 36. Calculate the remainder when 66 is divided by f.
15
Suppose 144*k - 70*k = -213*k + 156128. What is the remainder when 605 is divided by k?
61
Suppose 31*m + 43*m = 12748 + 24918. What is the remainder when m is divided by 245?
19
Suppose 0 = -3577*z + 3558*z + 475. What is the remainder when z is divided by 536/40 + 2/(-5)?
12
Suppose 3*x + 1334*h - 425 = 1332*h, 0 = 3*x - 2*h - 433. Suppose -5*b + 2*b + 52 = -5*t, 4*b + 2*t = 52. What is the remainder when x is divided by b?
3
Suppose 0 = -5*j + 177 + 23. Let t = 16 + -5. Calculate the remainder when 5*((-8)/(-32) + 334/j) is divided by t.
10
Let n be ((-6)/5)/(111/(-370)). Let q(d) = 22*d - 48. Calculate the remainder when q(n) is divided by 28.
12
Suppose -f + 1110 = 4*y, -546 = -2*y + 2*f + 2*f. Suppose -7*c - k = -4*c - 206, -4*c = -k - y. Calculate the remainder when c is divided by 9.
6
Let b be 2 - (12/18 + (-1959)/9). Let q = b + -162. Suppose -35 = 5*i - 200. Calculate the remainder when q is divided by i.
24
Let g = -70 + 78. Suppose -7*f - g = -3*f. Calculate the remainder when 11 is divided by (f/(-4))/(2/(1 + 23)).
5
Let w(i) = 3*i + 65. Let t be w(4). Suppose -t*d + 99 = -66*d. Suppose c + 0*c - 1 = 0, 0 = u - 4*c - 40. Calculate the remainder when u is divided by d.
8
Let b = -2009 + 2031. Let h = -218 + 354. Suppose -24 = -4*s + h. What is the remainder when s is divided by b?
18
Let o(g) = g**2 - 2*g - 40. Calculate the remainder when o(14) is divided by 2/(4 + -2) + 21.
18
Let k(i) = i**3 + 7*i**2 + 2*i + 16. Let y be k(-7). Suppose -y*v + 10*u = 5*u - 863, -v + 4*u + 427 = 0. What is the remainder when v is divided by 44?
43
Suppose 4*x = -m + 33, -4*x + 5*m = -0*m - 27. Let u = 2052 - 1893. Calculate the remainder when u is divided by x.
7
Let i(d) = d + 31. Let k(c) = -c - 18. Let g(j) = -2*j - 35. Let h(z) = 4*g(z) - 9*k(z). Let u be h(-10). What is the remainder when i(u) is divided by 13?
4
Let t be (-20)/(4/18*-6). Suppose 5*x - 30 = 20. What is the remainder when (t/(-30))/(2/10)*-6 is divided by x?
5
Calculate the remainder when (136/10 - (17 - 4)) + 14064/10 is divided by 30.
27
Suppose -289 = 7*a + 117. Calculate the remainder when (6/15)/((-12)/45)*a is divided by (-2)/7 - 130/(-14).
6
Suppose 3*n = 4*h + 52, -3*n = 1145*h - 1144*h - 47. What is the remainder when 4270 is divided by n?
14
Calculate the remainder when (0/(-17))/((-6)/(-3)) - -316 - 1 is divided by 88.
51
Let c(b) = 9*b + 432. What is the remainder when 123 is divided by c(-45)?
15
Let r = 1715 + -1676. Let j(x) = 3*x - 28. Calculate the remainder when r is divided by j(13).
6
Suppose 3000 = -40*u + 48*u. Suppose -41*r + 32*r = -162. What is the remainder when u is divided by r?
15
Let g(y) = 26*y**2 - 3893*y + 19. What is the remainder when g(150) is divide