 is the remainder when 222 is divided by t?
2
Let i(s) = s**3 - 40*s**2 + 83*s - 15. What is the remainder when i(38) is divided by 104?
43
Suppose -4*o + 20 = 0, -r = 3*r + 4*o - 32. Let g(v) = 0*v - 50*v**2 - v**r + 2 - 3*v + 49*v**2. What is the remainder when 49 is divided by g(-3)?
20
Suppose -450*n + 19329 = -5871. What is the remainder when 2239 is divided by n?
55
Let n = -2759 + 3005. What is the remainder when n is divided by 106?
34
Suppose 0*v - 318 = -x - v, -1317 = -4*x + 5*v. Suppose -3*r + x = -4*k, 4*r - 2*k - 414 = -0*k. What is the remainder when r is divided by 26?
23
Suppose -177 + 1500 = 7*k. Let t = -121 + k. Calculate the remainder when t is divided by 6.
2
Let c(k) = 30*k**2 + 63*k - 370. What is the remainder when c(5) is divided by 279?
137
Let d(x) = 50*x + 148. Let n be d(-7). Let a = n + 217. What is the remainder when 56 is divided by a?
11
Let b(h) = -h**2 - 15*h - 14. Let z be b(-13). Suppose z*a - 24 = 8*a. Let i(n) = n**2 + 2*n - 30. Calculate the remainder when i(a) is divided by 13.
5
Let x = -943 + 989. Suppose x*d - 21*d = 400. Let w(n) = 2*n**3 - n**2 - 1. What is the remainder when w(4) is divided by d?
15
Let v(p) = 638*p**3 + 6 - 1266*p**3 + 18*p**2 + 630*p**3 + 12*p. Calculate the remainder when 101 is divided by v(-8).
25
Let c(o) = -34*o - 25. Let x be (-2)/8 - 2/(48/42). What is the remainder when c(x) is divided by 12?
7
Let d = 5238 + -4962. Calculate the remainder when d is divided by 16.
4
Suppose -4*d + 28 = -5*j, -75*d - 3*j + 21 = -72*d. Calculate the remainder when d is divided by 1.
0
Suppose 3 = 3*j - 6. Let l(s) = -s**3 - 29*s**2 + 31*s + 33. Let h = 97 - 127. What is the remainder when l(h) is divided by j?
0
Suppose -3*u - 2*u = -3315. Suppose 12*c - 3123 = -u. What is the remainder when c is divided by 16?
13
Suppose 0 = -i + 17 + 353. Suppose -6*y = -y - i. Let s(j) = -j**2 + 16*j + 38. What is the remainder when y is divided by s(16)?
36
Suppose 5*c + 610 + 1654 = 3*t, 2284 = 3*t - c. Suppose 197 + t = 24*w. What is the remainder when 75 is divided by w?
35
Let j(f) = 2*f**2 - 13*f - 3. Let b(k) = -6*k - 20. Let v be b(-4). Let l = v + 19. Calculate the remainder when j(9) is divided by l.
19
Suppose 3*c - 15 = -3*z, 0 = z - 6*c + 5*c + 1. Suppose z*i = 8*i - 246. What is the remainder when 159 is divided by i?
36
Let j = -7966 + 8099. Calculate the remainder when j is divided by 39.
16
Let d = 326 + -148. Let i = 219 - d. Calculate the remainder when 102 is divided by i.
20
Suppose 42*j + 72*j - 236778 = 0. What is the remainder when j is divided by 260?
257
Let a(b) = 50*b**2 - 27*b + 40. Let c(x) = -150*x**2 + 82*x - 120. Let d(z) = 16*a(z) + 5*c(z). What is the remainder when d(2) is divided by 29?
22
Suppose 2*m - 10 = -3*d, 4*m - 20 = -d + 5*d. Let x = 3 - d. What is the remainder when x/5 + 7077/105 is divided by 18?
14
Let g = 2638 - 2461. What is the remainder when 464 is divided by g?
110
Let k(h) = -57*h - 457. Suppose -6*x + x + 25 = 0. What is the remainder when k(-9) is divided by x?
1
Let h be 5/4*5 + 20/(-80). Let x be 1/(h/40) - (-2)/(-3). Suppose -2*m + x*m = 68. Calculate the remainder when 49 is divided by m.
15
Suppose 35*k - 5916 + 948 = 6372. What is the remainder when k is divided by 59?
29
Suppose 12*p = 2296 + 932. Suppose p*x + 234 = 272*x. Calculate the remainder when x is divided by 20.
18
Suppose 40755 = 3*a + 3*b, 4*a = -90*b + 88*b + 54340. Calculate the remainder when a is divided by 158.
155
Let d(t) = t**3 + 8*t**2 - 7*t + 12. Let l be d(6). Suppose -3*g - l = -9*g. Calculate the remainder when g is divided by (3 - 5) + -8 - -26.
15
Suppose 4*h - 4*w + 35 = 3, h + 5*w + 20 = 0. Let z be (-2)/h + (-360)/(-75). Calculate the remainder when 16 - 0 - (-10)/z is divided by 10.
8
Let v be (-82 - -75)*20/7. Let w(p) = p**3 + 69. What is the remainder when w(0) is divided by -4 + 0 + 65/v*-12?
34
Let d(n) = 5*n - 1. Let l be d(7). Let h = -6 + l. What is the remainder when -9 - (-58 - 1 - 5) is divided by h?
27
Let p = -122 - -106. Let x(s) = s + 22. What is the remainder when 21 is divided by x(p)?
3
Suppose 75*h - 79*h + 24 = 0. What is the remainder when 2381 is divided by h?
5
Let g(m) = 609*m**3 + m**2 - 37*m + 38. Calculate the remainder when g(1) is divided by 170.
101
Let l(v) = -v**3 - 3*v**2 + 3*v + 38. What is the remainder when l(-11) is divided by ((6/(-4))/1)/(3/(-50))?
23
Let z = -15371 + 15391. What is the remainder when 3212 is divided by z?
12
Suppose -29*i = -34*i - 3*m + 412, -180 = -2*i - 5*m. What is the remainder when 3035 is divided by i?
75
Suppose -3*n + 6*n + 3 = -3*m, 4*m = n - 24. Suppose -38 = -n*r - 2. Suppose -12 = -3*s, r*w - 3*s - 53 = 4*w. What is the remainder when w is divided by 5?
3
Let h(q) = 81*q + 11506. Calculate the remainder when 131 is divided by h(-141).
46
What is the remainder when ((-51980)/(-22))/5 + -17 + 1448/88 is divided by 157?
1
Let n(a) = -17*a + 158. Let m(r) = -17*r + 159. Let p(f) = 2*m(f) - 3*n(f). Calculate the remainder when 575 is divided by p(12).
47
Let z = 98 - 57. Suppose 41*c - 35*c + 12 = 0. What is the remainder when z is divided by (-3 - c)/((-1)/11)?
8
Let x = 466601 + -466588. Let k(h) be the third derivative of -h**6/24 + h**5/15 + h**4/12 - h**3/3 + h**2. What is the remainder when k(-2) is divided by x?
11
Let z = 10189 + -10168. Calculate the remainder when 379 is divided by z.
1
Let b = -36553 + 36728. Calculate the remainder when 681 is divided by b.
156
Let z = 162 - 115. Calculate the remainder when (9/(-9)*50)/(1/(-2)) is divided by z.
6
Let c = -4 - -3. Suppose -58 = -3*h + x, 5*h - 6 - 88 = 2*x. What is the remainder when (1 - 83)*(0 + c) is divided by h?
16
Suppose 0 = -2*k + 4*k - y, -4*y = 4*k. Let h be k/(6 + -2) + 3. Suppose h*f - 4*z + 10 = 102, -77 = -3*f + z. Calculate the remainder when 142 is divided by f.
22
Let c(w) = -2*w**2 + 6*w + 1. Let o be c(5). Let z = o + 29. Suppose 2*l - 7*m - 8 = -9*m, -4*l + 5*m = -16. Calculate the remainder when z is divided by l.
2
Let f = 122 - 121. Suppose -3*l = 3*c - 132, 290 = 5*c - 5*l + 100. Calculate the remainder when c is divided by ((0 - 0) + 11)*f.
8
Suppose -4*b - 17 + 5 = 0. What is the remainder when 440 is divided by (-188)/b + -8 + (-125)/(-15)?
62
Suppose -i + 4660 = 5*f - 2285, i = -3*f + 4165. Calculate the remainder when f is divided by 3.
1
Suppose -10*k + 14*k = -u + 1932, 0 = 2*k - 6. Suppose -20*m + 8*m + u = 0. What is the remainder when m is divided by 41?
37
Let h = -2 - -22. Suppose 0 = -7*f + 30 + 19. What is the remainder when h is divided by f?
6
Suppose -1381 + 113 = -25*h + 307. Suppose -256 = -4*c - 4*c. What is the remainder when h is divided by c?
31
Let n = -2 - -7. Suppose -697*d + 701*d + 32 = 0, 4*r + d - 76 = 0. Calculate the remainder when r is divided by n.
1
Suppose 0 = -h - 16*i + 19*i + 50, -46 = -h + 5*i. What is the remainder when 1510 is divided by h?
54
Let c(t) = -t**3 + 8*t**2 - t - 28. Suppose -4*g - 80 = -3*r, r - 2*g - 110 = -4*r. Calculate the remainder when c(6) is divided by r.
18
Suppose -t + 3 + 1 = 0. Suppose x - 35 = t. Calculate the remainder when (7/(-7) + 0)*x*-1 is divided by 14.
11
Suppose -2*y - 29 = -i, 4*y = 2 - 14. Calculate the remainder when (-471)/(-9) + 21 + 50/30 is divided by i.
6
Calculate the remainder when 684 is divided by ((-45)/(-30))/((-338)/172 + 2).
39
Let f(b) = 3*b**2 + 67*b - 610. Calculate the remainder when f(7) is divided by ((-4)/10)/((-2)/30).
0
Calculate the remainder when (-12*(-9670)/(-60))/(0 - (-2)/(-2)) is divided by 149.
146
Let b(t) be the third derivative of -t**5/60 - 5*t**4/24 + 25*t**3/6 + 70*t**2. What is the remainder when b(-6) is divided by 8?
3
Suppose -r = 3*s - 0*r - 124, s + 4*r = 45. What is the remainder when 981 is divided by s?
38
Let q be 7*-5*2/(-35). Let i(p) = p**3 - 18*p + 10 - 18*p**q - 27 + 12 + 8. What is the remainder when 43 is divided by i(19)?
21
Calculate the remainder when (75/(-5))/(-60) - (-471)/4 is divided by 45.
28
Let v(j) = -4*j**2 - 156*j + 4. Let g be v(-39). Suppose 0*y = -3*y - g*p + 32, 0 = -y - 3*p + 4. Calculate the remainder when 333 is divided by y.
13
Let n = -18967 + 19040. What is the remainder when 8/(-44) - (-3018)/22 is divided by n?
64
Let a(i) = i**2 + 10*i + 36. Suppo