. What is the remainder when t is divided by 18?
7
Suppose -3*t - q + 167 = 0, -2*q + 214 = 4*t - 12. Let g = 229 + 146. What is the remainder when g is divided by t?
51
Suppose -327*a - 1151 = -4421. What is the remainder when 6168 is divided by a?
8
Let r(m) = -2*m**3 + 19*m**2 + 9*m - 45. Suppose -3*j = -5*v - 0*j + 30, -3*v + 2*j + 17 = 0. What is the remainder when r(v) is divided by 14?
5
Suppose x - 89 + 80 = 0. Suppose 2*a - 4*a + 18 = 2*j, -a = 5*j - x. What is the remainder when 282/8 - 3/12 is divided by a?
8
Let c = -195 + 556. Let n = -340 + c. Calculate the remainder when 61 is divided by n.
19
Let j(z) = -z**2 + 240*z - 14369. Let c = -2 + 4. What is the remainder when j(117) is divided by (c - 3)/((-2)/18)?
4
Let q(r) = -71*r + 1381. Calculate the remainder when 547 is divided by q(19).
3
Suppose -6*o = -8*o + 60. Suppose o*p = -1155 + 7245. What is the remainder when p is divided by 4?
3
Let u(a) = -a**3 + 33*a**2 - 35*a - 61. What is the remainder when u(28) is divided by 96?
95
Suppose 0 = -5*y + 25, 4*y - 26 = -0*u - u. Let p(i) = -i**3 + 3*i**2 + 19*i + 12. Calculate the remainder when 69 is divided by p(u).
15
Let p = 588 - 950. Let w = p - -392. What is the remainder when 44 is divided by w?
14
Suppose -94*v = 116*v - 64470. Calculate the remainder when v is divided by 81.
64
Let o = 8023 + -4026. Suppose -o + 121 = -19*m. Calculate the remainder when m is divided by 69.
66
Suppose -26 = -s - 2*p, -9*p + 7*p - 2 = 0. Suppose -s + 244 = 8*a. Calculate the remainder when 79 is divided by a.
25
Suppose -9*k + 8*k + 4 = 0. Let i be 7/(70/k) + 474/15. Suppose -8*w = -6*w - i. Calculate the remainder when 94 is divided by w.
14
Suppose 3 - 18 = -3*u + 3*c, 21 = 3*u - 5*c. Suppose -18 = -2*s - u. What is the remainder when ((-1)/(-3) - 1)/((-20)/690) is divided by s?
7
Let f(o) = -o**2 - 9*o + 176. Calculate the remainder when 834 is divided by f(-17).
34
Let y(z) = -z - 73. Let g(c) = -c - 110. Let u(p) = 5*g(p) - 8*y(p). Calculate the remainder when 83 is divided by u(3).
40
What is the remainder when 222 is divided by (((-187)/(-33))/(12/(-9)))/(7/(-28))?
1
Suppose 77*r = 16*r + 2989. Calculate the remainder when 508 is divided by r.
18
Let z(p) be the second derivative of -p**4/12 + 23*p**3/6 - 18*p**2 + 20*p. What is the remainder when 20 is divided by z(21)?
2
Let x = -2 - -5. Suppose -x*n + 279 = l, -2*n + l + 379 = 2*n. Suppose 4*k + 2*m - 114 = 0, 2*k - 7*m = -5*m + 30. What is the remainder when n is divided by k?
22
Let s(w) = -w**3 - 6*w**2 - 4*w + 7. Let r be s(-5). Let y be 216/30*45/27. Suppose r*i - y - 42 = 0. Calculate the remainder when 51 is divided by i.
24
Let v = 16428 + -16343. Suppose -4*s - 219 = -7*s. Let p = s + -44. Calculate the remainder when v is divided by p.
27
Suppose 6*x - 3*x + 12 = 4*o, 0 = -x - 4. Let i(k) = 9*k**2 - 2*k + 52. Calculate the remainder when i(o) is divided by 8.
4
Let r(b) = -563*b + 44 + 3*b**3 - 5*b**3 + 561*b. What is the remainder when 306 is divided by r(0)?
42
Let k = 134 - 68. Suppose y - 73 = -4*t, y = -5*t + k + 25. Calculate the remainder when 321 is divided by t.
15
Suppose 0 = 80*z - 16*z + 34*z - 38024. Calculate the remainder when z is divided by 56.
52
Let m(g) = g. Let f = -16 - -22. Let i = 215 - 181. What is the remainder when i is divided by m(f)?
4
Let w be (6/12)/(15/12 + -1). Suppose -232 = -4*q - 5*j + 113, w*j - 264 = -3*q. Let y = -80 + q. Calculate the remainder when 36 is divided by y.
6
Let a = 7053 - 6862. Calculate the remainder when a is divided by 13.
9
Let t(s) = 2202*s - 1101*s - 33 - 1108*s. Let r(x) = -x**3 - 4*x**2 + 3*x + 4. Let n be r(-4). What is the remainder when t(n) is divided by 7?
2
Let k be 10*(-20)/50*(-19714)/8. Suppose 59*a - 5365 = k. What is the remainder when a is divided by 88?
82
Let v(w) = -88 + 14*w + 5*w + 21*w + 51. What is the remainder when 125 is divided by v(2)?
39
Let v(o) = -o + 52. Let k be v(22). Let u be 10*(431/k + 22/165). Let m = u - 108. What is the remainder when m is divided by 5?
2
Suppose 0 = -44*p + 920 - 172. Calculate the remainder when 4500 is divided by p.
12
Let f(b) = 11*b**2 - 156*b - 36. Calculate the remainder when f(19) is divided by 12.
11
Let f(r) = r**3 + 8*r**2 + 13*r + 10. Let x be f(-6). Suppose -9*y + x = -8*y - 2*g, -2*y = 3*g - 8. What is the remainder when 22 is divided by y?
2
Let t = 22378 - 22333. Calculate the remainder when t is divided by 27.
18
Suppose 160*z = 249405 + 392995. What is the remainder when z is divided by 82?
79
Let m(c) = -c**3 - 3*c**2 + 20*c + 31. Let h be m(-6). Suppose -h = -j - 2*t, -5*j - 5*t + 62 = -6*t. Calculate the remainder when 76 is divided by j.
11
Let u(i) = i**3 - i + 48. Suppose 27*j = 82*j - 50 - 500. Calculate the remainder when u(0) is divided by j.
8
Let x = 39 + -5. Suppose h + 5*p - 134 = 0, -576*h - 183 = -577*h + 2*p. What is the remainder when h is divided by x?
33
Let a = 151 - 146. Suppose 0 = y - a*l + 2 - 50, -133 = -3*y + 4*l. What is the remainder when y is divided by 22?
21
Suppose 0 = 5*z + 2*i - 982 + 328, -270 = -2*z - 5*i. Calculate the remainder when 4288 is divided by z.
128
Let o(t) = t**2 - 28*t + 233. Calculate the remainder when 343 is divided by o(23).
107
Calculate the remainder when (0 + (-22)/(-3))*(-4917678)/(-1756) is divided by 41.
37
Suppose 66*l + 22*l - 2022 = 2642. What is the remainder when 54 is divided by l?
1
Let y(j) = -140*j - 546. What is the remainder when 1365 is divided by y(-5)?
133
Suppose -557*x + 561*x = -4. Let f(c) = -17*c**3 + c**2 - 3*c - 3. Calculate the remainder when 159 is divided by f(x).
15
Let c = -74 + 154. Suppose 450 = 86*m - c*m. Calculate the remainder when 143 is divided by (-5*(-10)/m)/(2/87).
27
Let j = 151 + -88. Let r = j - 28. What is the remainder when 207 is divided by r?
32
Suppose o - 263 = 32 - 35. What is the remainder when o is divided by 5?
0
What is the remainder when 143/((5/(-1))/(-30) - (-7)/21) is divided by 17?
14
Let o be 78/65*10/6. Suppose 2*w + 578 = 3*q, -o*w - 582 = -3*q + w. Calculate the remainder when q is divided by 16.
14
What is the remainder when 473 is divided by 450/(-135)*-237*3/15?
157
Suppose -45*t = -31*t - 294. Suppose 5*d - 3*d - 50 = -4*z, -4*z + t = d. What is the remainder when 111 is divided by d?
24
Let d(k) = 2*k**2 - 62*k - 717. What is the remainder when 1337 is divided by d(-10)?
101
Suppose -5*o = -11 + 1. Let p = 76 + -71. Calculate the remainder when -1 - (-3 - p - 2) is divided by o.
1
Let k be (158/7)/((-4)/(-112)). Suppose k = -276*o + 278*o. What is the remainder when o is divided by 11?
8
Let k(n) = 0 - n**3 + 6*n**2 - 1 + 14 - 3*n - 4*n. Calculate the remainder when -1 - (-1 - (89 + -3 - 2)) is divided by k(4).
16
Calculate the remainder when 645 + (-32 - (-16 - 2)) is divided by 264.
103
Let y(f) = -f**3 - 8*f**2 - 5*f - 5. Let z = -33 + 29. Let u be y(z). Let r = u + 78. What is the remainder when 57 is divided by r?
28
Let z(c) be the third derivative of c**5/60 - 5*c**4/24 - 49*c**3/6 - c**2 - 4. Calculate the remainder when z(-9) is divided by 6.
5
Let m = -6180 + 7235. What is the remainder when m is divided by 96?
95
Let x(s) = s**3 - 12*s**2 - 14*s + 16. Let d(a) = 2*a**2 - 2*a - 2. Let o be d(2). Suppose o*r = -0*r + 32. Calculate the remainder when r is divided by x(13).
1
Suppose v - 109 = z, 61 = -v + 5*z + 182. Let w = v + -31. What is the remainder when w is divided by 19?
18
Suppose 2604 + 178 = -13*i. Let w = i - -225. Calculate the remainder when w is divided by 3.
2
Suppose -2*z + 6*z = 5*n - 36, -3*z + 4*n - 27 = 0. Let y = -52 + 110. Let u = y + z. Calculate the remainder when u is divided by 13.
10
Let t(f) = 7*f**2 - 4*f - 15. Let z be t(6). Let x = z - 170. Calculate the remainder when 120 + -1 - (-64)/16 is divided by x.
37
Let m(v) = 2*v**3 - v**2 + 27*v - 54. Calculate the remainder when (441/12 + -2)*4 is divided by m(3).
67
Let m = -4148 - -4191. Calculate the remainder when 67 is divided by m.
24
Suppose 15 + 5 = 2*r. What is the remainder when (-66)/11*(0 + 1) + 136/((-48)/(-6)) is divided by r?
1
Let n = 1701 + -1506. Calculate the remainder when 7407 is divided by n.
192
Let k(v) = -593*v + 3245. What is the remainder when k(-9) is divided by 148?
146
Let z(o) = -4*o + 137. Suppose