 Let h(q) = -q**3 + 2*q**2 + 6*q - 1. Let u be h(y). Calculate the remainder when (90 - 0) + 10 + u is divided by 23.
22
Let i(x) = -x + 34. Let z be 11/(22/(-8)) + (19 - 0). What is the remainder when 74 is divided by i(z)?
17
Suppose -4*o + 123 + 144 = 5*y, 2*o - 261 = -5*y. What is the remainder when 506 is divided by y?
47
Suppose 3*m = 81 + 57. Let o(a) = a**2 - 1. Let w be o(-1). Suppose 0 = -3*i + 12, 5*p + i + w*i - 64 = 0. What is the remainder when m is divided by p?
10
Suppose 3*g + g = 20. Let r(s) = s**2 - s. Let k be r(6). Let v = -27 + k. What is the remainder when g is divided by v?
2
Let y(r) = r**3 - 5*r**2 + 6*r - 2. Let v be y(4). Let j = -93 + 130. Calculate the remainder when j is divided by (-8)/(-12) - (-44)/v.
5
Let k be -9 - 4 - -3*1. Let b(p) = p**3 + 10*p**2 - 1. Let i be b(k). Let t = 4 - i. What is the remainder when t is divided by 3?
2
Let a = 618 + -458. Calculate the remainder when a is divided by 43.
31
Let k(d) = -19*d - 17. Suppose 2 = u - 4. What is the remainder when k(-2) is divided by u?
3
Let y(q) = 2*q + 19. Let v be 7*((-138)/210 - 2/10). Calculate the remainder when 12 is divided by y(v).
5
Let j(v) = -v**2 + 2*v + 12. What is the remainder when (1/2 - 1)/(2/(-36)) is divided by j(4)?
1
Calculate the remainder when 285 is divided by 96/(-120) - 623/(-35).
13
Let x(u) be the first derivative of -9*u**2/2 - 2*u - 5. Let h be x(2). Let w = 42 + h. What is the remainder when w is divided by 3?
1
Let d(a) = 115*a - 2. Calculate the remainder when d(2) is divided by 23.
21
Let i be 30/6*6/10. Suppose -197 = -3*l - 4*p, i*l - 3*p = 105 + 78. What is the remainder when l is divided by 16?
15
What is the remainder when (-12)/9*(-12069)/108 is divided by 25?
24
Let x be 43 - (-3)/(-6)*2. Suppose x = h + 2*h. Let y(j) = -9*j - 12. What is the remainder when y(-9) is divided by h?
13
What is the remainder when ((-3073)/(-21))/((-20)/12 - -2) is divided by 44?
43
Suppose 5 = -6*a + 29. Suppose 0 = 4*l + 5*u - 115, a*l - 4*u = -2*u + 150. What is the remainder when l is divided by 18?
17
Let g(d) = 17*d + 1. Let c(w) = -w**2 - 5*w + 1. Let n be c(-5). Calculate the remainder when 69 is divided by g(n).
15
Let g = 22 - 32. Let z = g + 13. Suppose -2*t + t = -z. What is the remainder when 11 is divided by t?
2
Let k = -96 + 100. Let v(q) = 6*q + 1 + 10*q - 11. Calculate the remainder when v(k) is divided by 14.
12
Suppose -24 = 45*u - 48*u. What is the remainder when 124 is divided by (2 + u)*(-3 + (-108)/(-15))?
40
Let i(a) = a**3 + 14*a**2 - a - 12. Let u be i(-14). Suppose 3*o - 4*o - 119 = -2*m, -u = 2*o. Calculate the remainder when m is divided by 15.
14
Suppose z = 2*n + 105, 4*z - 41 = -3*n + 368. What is the remainder when 617 is divided by z?
102
Let i(s) = -s**2 + 12*s + 36. What is the remainder when 133 is divided by i(12)?
25
Let z = 409 - 372. Calculate the remainder when z is divided by 20.
17
Let c(v) = -v. Let l be c(-2). Let i(h) = 2*h**2 - 22*h - 16. Let y be i(11). Let g = l - y. Calculate the remainder when g is divided by 11.
7
Suppose 18 = -5*o + 113. Let u = o - 15. What is the remainder when 18 is divided by 4 + 1 - (u - 4)?
3
Suppose 2*v = -5*t + 2859, 5*t - 489 = -3*v + 2372. What is the remainder when t is divided by 72?
67
Let j = 32 - -13. Suppose 4*s - 5*g - 79 = 0, 5*s - j = 2*s - g. Calculate the remainder when 44 is divided by s.
12
Let s be (-2)/(-5) - (-13069)/(-35). Let k = -698 - s. Calculate the remainder when (2 - 4)/(10/k) is divided by 17.
14
Let i(p) = p**2 + p + 6. Let y be i(0). Suppose 3*u = y, -5*l - u = -2*u - 158. Let a = l - 15. Calculate the remainder when 48 is divided by a.
14
Let w(a) = 37*a + 2. Suppose d = 5*d - 4. Let u(r) = 28*r**2 - r - 1. What is the remainder when w(2) is divided by u(d)?
24
Suppose 2*m - 4 - 24 = 0. Suppose -3*r + m = 2. What is the remainder when 7 is divided by r?
3
Let i = -40 + 45. Suppose i*g - 4*g + 5*j - 19 = 0, 4*g - 4*j = 52. What is the remainder when 109 is divided by g?
11
Suppose 5*c = 4*w - 7671, 5*w = c + 3228 + 6366. What is the remainder when w is divided by 17?
15
Suppose -7*t - 2*t = -3528. What is the remainder when t is divided by 11?
7
Let k(q) = -2*q**3 + 69*q**2 - 32*q - 61. What is the remainder when 111 is divided by k(34)?
6
Suppose -2*w - 4 = 3*c, -3*w = 2*c - 3*c + 17. What is the remainder when 102 is divided by (45/(2*3/4))/c?
12
Let n = 53 - 45. Suppose 0 = 3*x - 4*m - n, 5*m = 2*x + x - 7. What is the remainder when 13 is divided by x?
1
Suppose -4*u = 0, -4*k - u = 2*u - 24. Let d be (-2)/10 - (-16)/5. Suppose 88 = d*s + s. Calculate the remainder when s is divided by k.
4
Let h(a) = 6*a - 6. What is the remainder when 331 is divided by h(9)?
43
Let n = -51 + 192. What is the remainder when n is divided by 69?
3
Suppose -44*j = -1367 - 173. Let m = 18 + -3. What is the remainder when j is divided by m?
5
Let l = 179 + -82. Calculate the remainder when l is divided by ((-16)/(-4))/(-4) + 35.
29
Let b(k) be the first derivative of -k**2/2 + 10*k + 4. What is the remainder when 57 is divided by b(-10)?
17
Let j(m) = -3*m + 23. What is the remainder when 408 is divided by j(-12)?
54
Suppose 0 = 2*f - 55 - 29. Calculate the remainder when 161 is divided by f.
35
Suppose -186*c = -187*c + 837. Calculate the remainder when c is divided by 30.
27
What is the remainder when 115 is divided by 44/10 + 90/150?
0
Let f = 301 - 21. Calculate the remainder when f is divided by 24.
16
Suppose -2*r - 100 = -2*b - 0, 3*b = r + 154. What is the remainder when 251 is divided by b?
43
Suppose -3*f - 3*z - 1 = 5, -3*z - 11 = 4*f. Calculate the remainder when 4*f/10 - -26 is divided by 16.
8
Calculate the remainder when (0 - -1) + 106 + (-64)/16 is divided by 33.
4
Suppose m + m = -4*u + 12, 3*u + 4*m - 19 = 0. Suppose 0*z - 5*z = -3*k - u, 5 = -3*z - k. Calculate the remainder when 1/z*(-65)/1 is divided by 17.
14
Suppose 6*t - 10 = 4*t. Suppose v - 3 = -t*h - 0, 4*h = -2*v. Suppose 0 = -2*f + 4*f - 2. What is the remainder when h is divided by f?
0
Let a(f) = -3*f + 19. Calculate the remainder when 78 is divided by a(-7).
38
Suppose -c - 47 = -3*z, z + 3*c - 17 = 12. Calculate the remainder when 67 is divided by z.
16
Suppose -4*j + 139 - 63 = 0. Let y(i) = -i**3 - 9*i**2 - 10*i - 8. Calculate the remainder when j is divided by y(-8).
3
Let k = 1227 + 155. What is the remainder when k is divided by 42?
38
Let p(v) = 21*v - 30. Let z(t) = 20*t - 30. Let k(b) = -4*p(b) + 5*z(b). Calculate the remainder when k(5) is divided by 17.
16
Let s(n) = -5*n - 6 + 2 + 12. Calculate the remainder when s(-7) is divided by 11.
10
Let p(y) = 2*y + 66. Let x = 128 + -118. What is the remainder when p(x) is divided by 19?
10
What is the remainder when 209 is divided by 4*(-9)/2*(-5)/3?
29
Suppose 0*j = 4*j + s + 4, -5*j - 3*s - 5 = 0. Let o be j/(4/(48*1)). What is the remainder when 17 is divided by o/(-12) - -2*2?
2
Suppose -26*m + 10*m = -160. Suppose t = -j - 3, 3*j + 2*t = -2*t - 14. What is the remainder when -1 + (j/(-1) - -22) is divided by m?
9
Let l be -3*(33/(-9) - 3). Suppose l*i = 22*i - 66. What is the remainder when 63 is divided by i?
30
Suppose 5*g - 3*g - 2*t - 240 = 0, 3*t = 2*g - 245. What is the remainder when g is divided by 65?
50
Let o = -136 + 155. What is the remainder when 20 is divided by o?
1
Suppose 3256*a = 3259*a - 45. Suppose 0*z + z + 174 = 3*o, 289 = 5*o - 2*z. Calculate the remainder when o is divided by a.
14
Suppose 15*w = 11*w - 196. Let v = w + 193. What is the remainder when v is divided by 21?
18
Let f(b) = -b**3 + 8*b**2 + 16*b - 138. Calculate the remainder when 43 is divided by f(7).
20
Suppose 0 = -3*h - 2*h + 30. Suppose h*u - u + 80 = 0. Calculate the remainder when (-176)/(-3) - u/48 is divided by 20.
19
Suppose 2*r - 60 = -3*p + 14, -2*p + 46 = -2*r. Let w(t) = -3*t**2 - 3 + 4*t**2 - 2*t + 2*t**2. Calculate the remainder when p is divided by w(-2).
11
Suppose 4*t + 19 = 3*v - 39, -3*t = -4*v + 47. Let z = 17 - t. What is the remainder when z is divided by 11?
8
Suppose 4*p = 2*p - 62. Let x = p - -63. What is the remainder when x is divided by 4/(-10) + (-261)/(-15)?
15
Let m(a) = 4*a**2 - 21*a + 46. What is the remainder when 155 is divided by m(2)?
15
Let v = 424 + -77. Calculate the r