 1 + 17. Let l be j(-23). Suppose 10 = -h + l. Calculate the remainder when h is divided by 8.
4
Let g(z) = 4*z**2 + 52*z + 28. Let r be g(-13). Suppose -1218 = -r*d + 350. Calculate the remainder when 223 is divided by d.
55
Let v = -98 + 144. Let g = 46 - v. Suppose 0 = 4*x - 4*t - 292, g*x + 5*t = 2*x - 134. What is the remainder when x is divided by 20?
17
What is the remainder when 2052 is divided by (-92160)/(-315) - (102/(-42) - -3)?
8
Let h(y) = y**3 - 25*y**2 + 9*y + 46. What is the remainder when h(25) is divided by 9?
1
Suppose 0*t = -5*t - 20, 2*f = 5*t + 26. Suppose -n + 27 = 2*u + f*u, -16 = -4*u. Calculate the remainder when 95 is divided by n.
4
Let t(r) = 2723*r**2 - r - 6. What is the remainder when t(-1) is divided by 80?
78
Suppose -449 = -2*z + 2*f - 53, 4*f = 2*z - 406. Calculate the remainder when z is divided by (27 + 1679/23)*(-2)/(-4).
43
Suppose 117 = 9*y - 0*y. Calculate the remainder when -143*(-6 + y - 8) is divided by 36.
35
Let y be 142*(-1)/6*-3. Let a = -64 + y. Suppose -71 = -a*m + 6. Calculate the remainder when m is divided by 6.
5
Calculate the remainder when 560/12*(-243)/(-108) is divided by 100.
5
Suppose -268 = 2227*m - 2231*m. Let p be 4/3*(-31 + -5). Let t = p + m. What is the remainder when t is divided by 8?
3
Suppose 4*h + 5*r + 72 = 308, 5*r = h - 84. What is the remainder when 382 is divided by h?
62
Let q = -4516 + 4603. What is the remainder when q is divided by 19?
11
Suppose 5*c + 959 = 4*u, 4*u - 5*c + 9*c - 968 = 0. What is the remainder when 712 is divided by u?
230
Suppose 2 + 34 = 4*o - 220. Suppose 0 = 3*r - 2 - 376. What is the remainder when r is divided by o?
62
Suppose -w = 5, -6*c + c + 100 = 5*w. Suppose -5*d - 4*v = -0*v - c, -v - 32 = -3*d. What is the remainder when 48/(1 + 2) + 1 is divided by d?
8
Let h = -429 - -504. Let s = h + -55. Calculate the remainder when 69 is divided by s.
9
Let s be (2 + 66/5)*-5. Calculate the remainder when 104 is divided by 1014/36 + (s/24 - -3).
20
Calculate the remainder when 22/(-2) - (71 - 169) is divided by 30.
27
Suppose 4*y - 12 = -0. Suppose z = -y*t + 7, 5*t + 2*z + 5 = -3*z. Suppose 3 = p - t. What is the remainder when 38 is divided by p?
3
Let d = 13806 + -13544. Calculate the remainder when 1558 is divided by d.
248
Let m = -1388 - -1423. What is the remainder when m is divided by 5?
0
Let x = 97230 - 67422. Suppose 0 = -64*i + 16*i + x. What is the remainder when i is divided by 52?
49
Let v = -9 - -25. Suppose 447 = l + 75. Suppose 15*a - 9*a = l. What is the remainder when a is divided by v?
14
Suppose 0 = -3*u + 8*u - 1795. Suppose 5*l - m = 2*m - u, 2*l + 2*m = -150. Let p = l - -108. What is the remainder when 67 is divided by p?
32
Let b(h) = -503*h + 3305. Calculate the remainder when b(0) is divided by 57.
56
Let o(u) = u**2 - 3*u - 4. Let f be -2*(8 + (-10835)/22). Let q = -935 + f. Calculate the remainder when q is divided by o(-4).
10
Let q be (2 - 4 - 6)/(3 - 5). Suppose -o = -q*o + 27. What is the remainder when 43 is divided by o?
7
Calculate the remainder when 6*89 - 60*23/138 is divided by 97.
39
Suppose 0 = 3*q - 4*b - 191, 0 = 2889*q - 2890*q - b + 45. What is the remainder when q is divided by (-20)/(-1)*2/4?
3
Let j(g) = 156*g**2 - 2*g - 11. Calculate the remainder when 1042 is divided by j(-1).
13
Let z(x) be the second derivative of x**4/12 - 19*x**3/6 + 179*x**2/2 - 37*x. Calculate the remainder when 183 is divided by z(12).
88
Let s(q) = -q**3 - 6*q**2 + 6*q - 4. Let m(x) = -2*x**3 + x**2 - 2. Let c(j) = m(j) - s(j). Calculate the remainder when 57 is divided by c(2).
7
Let b be 50 - 1/((-6)/(-12)). Let m = 62 - b. What is the remainder when 277 is divided by m?
11
Let t(w) = w**2 + 15*w - 318. Let h be t(15). Suppose -2*n + h = -4*c, 4*n + 6*c - 252 = 10*c. What is the remainder when n is divided by 16?
12
Let r(j) = -76*j + 15. Suppose -11*o + 26 - 59 = 0. What is the remainder when r(o) is divided by 41?
38
Let h(t) = -4*t - 119. Let f be h(-30). What is the remainder when 146 is divided by (f - -37) + -6*10/(-60)?
29
Let h be (0/(-8 + 3))/3 - 0. Suppose h = -2*r + 1 + 7, r = -x + 16. Calculate the remainder when ((-2)/(-4))/((-2)/(-276)) is divided by x.
9
Let t = -53 - -57. Suppose -i = -2*y + 49 + 119, -252 = -3*y + t*i. What is the remainder when y is divided by 31?
22
Let h(u) = 1320*u**3 - u**2 - 76*u + 75. Calculate the remainder when h(1) is divided by 66.
64
Suppose 17*z - 19*z = 4. Calculate the remainder when ((-42)/(-70))/((-2)/360*z) is divided by 19.
16
Let j = -179 + 224. Suppose -5*l + 3*p = -l - 153, l - 3*p = j. What is the remainder when 177 is divided by l?
33
Let o(r) = 5 + 2 - 14*r**2 + 15*r**2 + 5*r. Let h(m) = m**3 - 6*m**2 + 4*m - 8. Calculate the remainder when o(-13) is divided by h(6).
15
Suppose -20*b + 42*b - 15312 = 0. Calculate the remainder when b is divided by 183.
147
Let h(b) = 13*b**2 + 16*b - 30. Let a be h(4). Let l = a - 230. What is the remainder when 19 is divided by l?
7
Suppose 6*o = 24 + 30. Suppose 8 = 3*l - 4*g - o, -5*g = 4*l - 64. What is the remainder when 64 is divided by l?
9
Suppose -u = -4*g + 61, -3*g + 2*u = -45 - 2. Suppose -f - 3*f - 48 = 0. Let l = g - f. Calculate the remainder when l is divided by 19.
8
Let k = 83 + 74. Suppose -160 = -3*x + s, -158 = -3*x + 258*s - 259*s. What is the remainder when k is divided by x?
51
Suppose -2*n - 3*n - 5*c + 120 = 0, -95 = -4*n - 3*c. Let y = 17 - 16. Calculate the remainder when y*550/5 + 3 is divided by n.
21
What is the remainder when 211 is divided by -3 + 45 - 24/(-2)?
49
Suppose 2*m + 3*x - 22 = 0, -m + 5*x = 5 - 16. Suppose -5*a - 320 = -15*a. Calculate the remainder when a is divided by m.
10
Let v = -11518 - -12688. Calculate the remainder when v is divided by 55.
15
Suppose 81*l + 90593 = 87*l - 18931. Calculate the remainder when l is divided by 34.
30
Suppose 12*t + 3*b + 2465 = 16*t, 2*t - 3*b - 1231 = 0. Let w = t + -608. Calculate the remainder when 87 is divided by w.
6
Let y = 17494 - 17363. Calculate the remainder when 4315 is divided by y.
123
Suppose -24*g + 429 = 45. Calculate the remainder when 90 is divided by g.
10
Let c = 5 + 2. Suppose 36*w - 24 = 516. Let p(n) = -19*n + 307. Calculate the remainder when p(w) is divided by c.
1
Suppose -5*u - 2*r + 547 = 0, -5*r = 4*u - 0*r - 441. Let n = u - 94. What is the remainder when n is divided by 8?
7
Let r = -45 + 95. Let s(c) = -3*c**2 + 19*c + 32. Let j be s(7). Suppose -4*v = -4*d - 84, j = -5*d - 2. Calculate the remainder when r is divided by v.
16
Suppose -8*s + 398 = -6*s + 3*u, 4*u = -4*s + 792. Calculate the remainder when s is divided by 169.
27
Suppose 18 = 2*l - 18. Suppose 7*d = 8*d - l. Calculate the remainder when (-2)/(-3)*(0 - 3339/(-14)) is divided by d.
15
Let v(s) = 2*s - 6*s**2 - 15892*s**3 - 15 + 15893*s**3 + 3*s. What is the remainder when v(6) is divided by 9?
6
Let k(d) = 14*d - 735. Calculate the remainder when k(54) is divided by 3.
0
Let b = -16102 - -17305. What is the remainder when b is divided by 32?
19
Let t = 0 - -2. Let c = 159 + -150. Calculate the remainder when 10/3*21/t is divided by c.
8
Let v(w) = -w**2 - 84*w - 1590. Calculate the remainder when 248 is divided by v(-53).
36
Let v = -32 + 106. Let h = -1264 - -1280. What is the remainder when v is divided by h?
10
Let n(g) = -g**2 - 69*g + 14. Calculate the remainder when 2269 is divided by n(-43).
5
Let c(v) = 84*v**2 - 2*v - 58. What is the remainder when c(3) is divided by 99?
98
Suppose 3*a - 10 = 17. Suppose 2*v - a*v + 49 = 0. Suppose 2*p - 4*o = 7 + 15, p = 3*o + v. Calculate the remainder when 68 is divided by p.
11
Let y = 2515 + -2433. Calculate the remainder when 390 is divided by y.
62
Suppose -4055*j = -4059*j + 6796. Calculate the remainder when j is divided by 9.
7
Let y(x) = -x - 15. Let h be 4 + (-182)/49 - 214/14. Let s be y(h). Suppose 7*l - 12*l + 55 = s. What is the remainder when 28 is divided by l?
6
Let f(a) = -3*a - 10. Let h be f(5). Let d = -279 - h. What is the remainder when d/(-7) + (-4)/14 is divided by 13?
10
Suppose 4*r + 12 = 0, 0*r + 151 = 4*h + 3*r. Suppose -171*p + 145*p = -390. Calculate the remainder when h is divided by p.
10
Let r(v) = -5*v**2 - 158*v - 110. What is the remainder when r(-19) is divide