t t(z) = -6*z + 23. What is the remainder when t(-5) is divided by j?
17
Let n be (4/4*-6)/((-1)/(-3)). Let o be -85*(0 + 2)*9/n. Suppose 70 = -3*j + o. What is the remainder when 14 is divided by j?
4
Suppose 2*l - c = -0*l + 14, -28 = -4*l - 5*c. Let b(a) = a**3 - 8*a**2 + 8*a - 3. Let i = -73 + 75. What is the remainder when b(l) is divided by i?
0
Let n(u) = -u + 39. Suppose 3*q + 201 = -2*f, -2*q - q + 2*f = 201. Let s = q - -77. Calculate the remainder when n(0) is divided by s.
9
Let x(q) = 18*q**2 - 13*q + 17. Let c be x(4). Let b = -33 + c. Calculate the remainder when b is divided by 56.
52
Suppose 0 = 3*h + 3*d - 4527, 4*h + 31 = 5*d + 6076. Calculate the remainder when (-62)/93 - h/(-6) is divided by 21.
20
Let b(c) = c**2 + 2*c - 6. Suppose 0*o - 5 = o, -5*o + 191 = -4*d. Let p = 59 + d. What is the remainder when b(-5) is divided by p?
4
Suppose 0 = 15*k - 0*k - 30. Suppose -2*l = -2*o + 34, -k*o + 8*l - 4*l = -32. Let z = -78 + 131. What is the remainder when z is divided by o?
17
Suppose -11*y + 83 + 60 = 0. Let z = 7 + 36. What is the remainder when z is divided by y?
4
Suppose 5*p + 5*z = 100, -3*p + 2*z + 49 = -11. Calculate the remainder when 3268 is divided by p.
8
Let d(u) = -3*u**3 - 5*u**2 - 57*u - 324. Calculate the remainder when d(-7) is divided by 5.
4
Suppose g = 2, 0 = -12*v + 10*v - 3*g + 17866. Calculate the remainder when v is divided by 154.
152
Let j = -2836 - -2907. What is the remainder when 1062 is divided by j?
68
Suppose 33 = 3*i + 3*a, 0 = -3*i - a + 144 - 107. Suppose 56 - 389 = -3*n. Let v = n + -76. What is the remainder when v is divided by i?
9
Let b = -7292 - -7341. Calculate the remainder when 64 is divided by b.
15
Let d be ((-86)/4)/((-54)/(-28) + -2). Suppose -4*x = -2*p + 178, d = p + 3*p + 3*x. Calculate the remainder when p is divided by 21.
16
Let g be 5/(-2)*(343/(-35) - 13). Suppose -3*k = -p - 3*p - 77, 2*k - g = -3*p. What is the remainder when 267 is divided by k?
24
Suppose 60*h - 1596 = 22*h. What is the remainder when 1509 is divided by h?
39
Suppose 84 = 2*t + t. Let d = -69598 - -69638. Calculate the remainder when d is divided by t.
12
Suppose -4*x - 339 = -4759. Calculate the remainder when x is divided by 79.
78
Suppose -826 = 19*g - 175*g - 202. What is the remainder when 88 is divided by g?
0
Suppose -824 = 5*d - 99. Let v = d + 166. What is the remainder when 124 is divided by v?
19
Suppose 38*s + 2*s - 87509 = -3149. Calculate the remainder when s is divided by 141.
135
Suppose -19*o + 96*o - 217752 = -52*o. What is the remainder when o is divided by 19?
16
Let p = -201 - -198. Calculate the remainder when (p - 1)*(287/(-28))/1 is divided by 15.
11
Let o = 1 - -24. Suppose -2*p + 312 = 4*k - 0*p, -8 = 2*p. Calculate the remainder when k is divided by 28/(-5)*(-9)/(45/o).
24
Calculate the remainder when 327 + 24/(-6) + 1 is divided by 22.
16
Let h = 76 + -161. Suppose 2*c + 87 = -95. Let j = h - c. What is the remainder when 12 is divided by j?
0
Let k be 6/9 - (-25)/3. Suppose -106 = -4*f - 2*t, k*f + 3*t = 4*f + 133. What is the remainder when f is divided by 20?
6
What is the remainder when (184/828)/(1/2061) is divided by 66?
62
Let s(r) = 34*r + 46. Let n(k) = -16*k - 23. Let w(h) = 7*n(h) + 3*s(h). What is the remainder when w(-17) is divided by 75?
72
Let y = -3855 - -3956. What is the remainder when 242 is divided by y?
40
Suppose -i = -45 - 29. What is the remainder when i is divided by (-12)/21 + 38/((-6650)/(-3425))?
17
Suppose -9724 - 18595 = -2587*b + 351970. Let y(a) = -2*a**3 + 2*a**2 + 5*a + 2. What is the remainder when b is divided by y(-3)?
29
Let x = 463 - 429. Calculate the remainder when 292 is divided by x.
20
Let y(l) = -2*l**2 + 5*l + 18. Let o(n) = -10*n - 76. Let x be o(-8). What is the remainder when 41 is divided by y(x)?
5
Let o = 6188 + -6061. What is the remainder when 1774 is divided by o?
123
Let b(z) = 10*z**3 - 40*z + 107. Calculate the remainder when 502 is divided by b(3).
245
Suppose 0 = 3*m + 175 - 181. Suppose -2*t - 4*p + 16 = 0, -38 + 31 = -m*t + 5*p. What is the remainder when 370 is divided by t?
4
Suppose 8047 = 4*w - t, 2*w - 141*t - 4036 = -143*t. Calculate the remainder when w is divided by 106.
105
Let u(r) be the second derivative of -19*r**3/6 - 50*r**2 - 37*r. What is the remainder when 21 is divided by u(-6)?
7
What is the remainder when 832 is divided by 1*4*2 + (18 - 23)?
1
Suppose -5*y = -2*k - 269, 3*y = -0*y - 3*k + 153. Calculate the remainder when 280 is divided by y.
15
Suppose 5*y = 12*y - 105. Let m = 414 - 235. Calculate the remainder when m is divided by y.
14
Suppose -2*s + 10 = -s. Let l = -52895 + 53053. Calculate the remainder when l is divided by s.
8
Let u(l) be the second derivative of -169*l**5/20 + l**4/4 + l**3/6 - 86*l. What is the remainder when u(-1) is divided by 3?
0
Let b(a) = -44*a - 21. Let n be b(-3). Suppose -123 = -6*y + n. What is the remainder when 922/8 - 2/8 is divided by y?
37
Let b(x) = 444*x + 9542. Calculate the remainder when b(-21) is divided by 136.
82
Suppose 0 = 1186*q - 1189*q + 12. Let w = -84 + 41. Let d = w - -51. What is the remainder when d is divided by q?
0
Suppose -131 = 3*p + 4*m, 0 = p - 5*p - 3*m - 177. Let s(c) = 117*c + 5009. Let q be s(-42). Let l = p + q. Calculate the remainder when l is divided by 13.
11
Let b(s) = 21*s - 144. Let f be (-6)/(2 + 14/(-4)). Let j = f + 6. What is the remainder when j is divided by b(7)?
1
Let j(a) = 2*a**2 - 311*a - 1587. What is the remainder when 1295 is divided by j(-5)?
17
Suppose -5*r + 5 = 0, r + 0*r + 104 = 3*y. Let f be 15/6*-2*2. Calculate the remainder when 46 is divided by 4/f - (-434)/y.
10
Suppose s = -2*o - 4, -3*o = 2*s - 4*s + 6. Suppose s = 3*b + 5 + 1. Calculate the remainder when b/6 - (-684)/27 is divided by 13.
12
Let v be (-137)/4 + 2/8. Let x(s) = 2*s + 136. Calculate the remainder when x(v) is divided by (2/3)/(6/207).
22
Suppose 0 = -3*z + 2*z + 15. Let h be ((-35)/14)/(2/(-4)). Suppose -2*m + 56 = 2*c, 0 = h*m + c - 94 - 42. Calculate the remainder when m is divided by z.
12
Let l(r) = r**3 + 39*r**2 - r + 7. Suppose 0 = -3*n + 4*n - 16. Suppose 0 = -3*c + 4*c - n. What is the remainder when l(-39) is divided by c?
14
Let i(w) = -2*w**2 + 68*w + 57. Let v be i(35). Let a(l) = -486*l**2 + l**3 + 500*l**2 + 10*l - 11 - 15. Calculate the remainder when 102 is divided by a(v).
11
Suppose 2*d = -5*l - 4047, 4*l - 5*d = 5*l + 814. Let i = l + 902. Calculate the remainder when 458 is divided by i.
86
Suppose 4*o - 8*o + 75 = m, -3*o - m + 57 = 0. Calculate the remainder when 356 is divided by o.
14
Suppose d - 2*v = 1734, 91 = 3*d - v - 5146. What is the remainder when d is divided by 103?
100
Suppose -2*o = -2*y - 176, 0 = 2*y - 7*y + 2*o - 428. Calculate the remainder when (0 + 2)*139/2 is divided by 1192/34 + y/1428.
34
Let w = 53 - 86. Let i = 44 + w. Suppose f - q + i = 40, 125 = 4*f + 5*q. What is the remainder when f is divided by 18?
12
Let y = 301 + -5. What is the remainder when y is divided by 33?
32
Let p(l) = l**2 + 2*l - 4. Let v = -15 + 11. Let m be p(v). Suppose m*i - 76 = -0*i. Calculate the remainder when 73 is divided by i.
16
Let t = 3243 + -3225. What is the remainder when 232 is divided by t?
16
Suppose 342 = -3*v - 183. Let a = -107 - v. Suppose 10 = i - 13. Calculate the remainder when a is divided by i.
22
Suppose 7*k + 11536 = 29*k + 6*k. What is the remainder when k is divided by 84?
76
Let l(d) = 7*d**3 - d**2 + d + 26. Let b(w) = 20*w**3 - w**2 + 4*w + 79. Let u(k) = -6*b(k) + 17*l(k). Calculate the remainder when u(-11) is divided by 8.
5
Let k(r) = -2*r**2 - 4*r - 6. Let n be k(-2). Let p(h) = 5*h**2 + 21*h + 13. Calculate the remainder when p(n) is divided by 36.
31
Suppose -813*a = -810*a - 207. What is the remainder when 482 is divided by a?
68
Let d(h) = 20*h - 24. Let l be d(6). Let m = 28 + -93. Let j = m + l. What is the remainder when j is divided by 11?
9
Calculate the remainder when 1699 is divided by (-8*(-1)/8 + (60 - 2))*1.
47
Suppose -4*f = 2*f - 792. Let a = -124 + f. What is the remainder when 13 is divided by a?
5
Let h be (-6)/(-21) + 594/77. Suppose h*c + 57 = 10*c - 5*u, -21 = -c + u. What is the remainder when 207 is divided by c?
15
Suppose 0 = 5*d - 