he remainder when k is divided by 36.
11
Suppose 3*y + 68 - 172 = -5*n, -3*n = -4*y + 100. Calculate the remainder when 1473 is divided by y.
17
Suppose -4489*s + 209 = 2*h - 4492*s, -4*s + 143 = h. What is the remainder when 3445 is divided by h?
110
Let r = 14 - 11. Suppose -5*a + 78 = 2*d, -r*a + 5*d - d + 52 = 0. What is the remainder when 16/200 - 7044/(-75) is divided by a?
14
Let u(q) be the second derivative of 637*q**4/12 - q**3/2 - 15*q + 5. Calculate the remainder when u(1) is divided by 91.
88
Suppose 0 = 4*v - v - 17 + 56. Let i(r) be the first derivative of r**2/2 + 24*r - 1. What is the remainder when 53 is divided by i(v)?
9
Suppose 4*s = 3 + 9, 192 = i - s. Suppose 5*v - i = -4*w, 9*v - 4*v + 80 = w. What is the remainder when 1290/2*((-2)/3 + 1) is divided by w?
50
Suppose 2*r - 98 = 4*r. Let f = r - -51. Suppose 0 = -2*d - x + 126, 3*x = -f*d + 178 - 60. Calculate the remainder when d is divided by 23.
19
Let k = 18 + -9. Suppose 21*o + 784 = 1015. Calculate the remainder when 357/k + 1/3 is divided by o.
7
Let h(o) = -o**3 + 12*o**2 - 9*o + 10. Suppose 3*g + 246 = 3*z + 4*g, 4*z + 4*g = 328. Calculate the remainder when z is divided by h(11).
18
Let s = 29752 + -29721. What is the remainder when 1330 is divided by s?
28
Let i(a) = 282 + 349 - 30*a - 469. Calculate the remainder when 83 is divided by i(4).
41
Let y = 141 - 139. Suppose -y*c - 5*m + 84 = 0, 45 = c + 2*m + 2*m. What is the remainder when 105 is divided by c?
31
Let c(s) = s**3 + 4*s**2 - 6*s. Let w be c(-5). Suppose 0 = -w*f - 131 + 361. Let n = 1626 - 1620. Calculate the remainder when f is divided by n.
4
Let g(s) = 165*s - 3. Let w be g(1). Let r = 19 + w. Suppose 3*p - 49 = -4*c, -4*c = -8*p + 10*p - 26. Calculate the remainder when r is divided by p.
20
Calculate the remainder when ((-74)/444 - 5799/36)*-4 is divided by 141.
81
Let t(n) = n**2 + 10*n + 17. Suppose -24*k = 12*k - 33*k - 750. What is the remainder when k is divided by t(-11)?
26
Calculate the remainder when (-5)/((-135)/3492)*(-9)/(-6) is divided by 69.
56
Suppose 0 = o + 2*o - 72. What is the remainder when o is divided by (40/140)/((-2)/(-14))?
0
Let f = 66 + -63. Suppose f*d + 5390 = -8*d. Let k = d + 734. What is the remainder when k is divided by 62?
58
Let x = -3544 + 3861. What is the remainder when x is divided by 62?
7
Suppose 4*v - 51 = v. What is the remainder when -7 + ((-9690)/1190)/(1/(-7)) is divided by v?
16
Let z(a) = 3*a**3 - 145*a**2 - 10*a + 405. Calculate the remainder when z(49) is divided by 40.
37
Suppose 112 = 3*g - 2*o, 10*g - 6*o + 5*o = 362. Calculate the remainder when g is divided by 19.
17
Suppose 0 = 3*c - 9 + 3. Let u(y) = c - 3 - 11 - 11*y + 9*y + 5*y**2. What is the remainder when u(6) is divided by 32?
28
Let k be -7*7*(-10 + 8). Suppose -4*b = -4*m - 84, -k = -m + 5*m + 3*b. What is the remainder when m/(2 + (-15)/6) is divided by 16?
14
Let r(t) = 7*t - 15. Let d be 62*6/(-6 - -18). Calculate the remainder when r(d) is divided by 17.
15
Suppose -2*v = 9*t - 381267, -5*v + 40918 + 43808 = 2*t. Calculate the remainder when t is divided by 37.
35
Suppose 3*y = -5*u + 78, -2*y - 3*u = u - 52. Let s = -171 + 310. Let h = s - 99. What is the remainder when h is divided by y?
14
Suppose -21*m = 24*m - 79*m + 3400. What is the remainder when 173 is divided by m?
73
Let o be 1*2/(-6)*-3. Let k(p) = 11*p - 6. Let w be k(1). Suppose g - 3*l = -0*g - 11, w*g - o = l. What is the remainder when 2 is divided by g?
0
Suppose 0 = -2*x - n + 6*n + 515, -3*n + 15 = 0. What is the remainder when x + -2 - 3 - 15/(-3) is divided by 91?
88
Let f = -70 - -25. Let n be 3*1/(-3) - f. Suppose -41*o + n*o = 291. Calculate the remainder when o is divided by 49.
48
Suppose 2100 = 724*h - 699*h. Calculate the remainder when 102 is divided by h.
18
What is the remainder when (-332)/(-2) - (-3 + 5) is divided by (42/(-4))/1*384/(-672) - -36?
38
Let x(p) = 246*p - 222. Calculate the remainder when 18452 is divided by x(1).
20
Suppose 0 = 4*m - b - 9244, -7*b = -4*m - 2*b + 9212. What is the remainder when m is divided by 21?
3
Let z = -13 - -24. Let k(n) = -4 + 11 + 7 + z*n - 10*n. Calculate the remainder when 21 is divided by k(-8).
3
Suppose 0 = -f - 27*c + 32*c + 7, -4*c + 12 = 0. Calculate the remainder when 118 is divided by f.
8
Let q = -253 + 235. Let o = 14 - q. What is the remainder when 382 is divided by o?
30
Let p = -121 - -353. Let v(t) = t**3 + 25*t**2 + 49*t + 95. What is the remainder when p is divided by v(-23)?
24
Let l be 3/(6/590) - (-1)/(-1). Suppose l - 1100 = -26*f. Calculate the remainder when f is divided by 1.
0
Suppose -9*l + 150 = -390. Suppose 3*n - 106 = -5*t - 9, t = -2*n + l. Calculate the remainder when 57 is divided by n.
28
Let s be (-2 - (-12)/10)/(5/(-50)). Suppose 582 = s*g - 6*g. Suppose -597 - g = -8*i. What is the remainder when i is divided by 14?
13
Suppose 4*f - 3820 = -3*w - 3827, 0 = -4*f + 6*w + 110. Calculate the remainder when 2 - (0 + 1 + -109) is divided by f.
6
Suppose 0*w = -8*w + 224. Let f = w + -11. What is the remainder when 185 is divided by f?
15
Let c(u) = 3*u**3 - 60*u**2 + 119*u - 34. What is the remainder when c(18) is divided by 38?
12
Suppose -16*i = -15*i + 244. What is the remainder when 2/((-24)/i) - 2/6 is divided by 13?
7
Let y = 36 - 104. Let s = y + 68. Suppose 0 = t - 3*z - 7, -4*t + s*z = -3*z - 37. Calculate the remainder when 26 is divided by t.
6
Suppose -5*c = -0*c - 445. Suppose 2*f = -21 + c. Suppose x + 3*x - 240 = -4*m, -x = -3*m + 200. Calculate the remainder when m is divided by f.
31
Let i = -5685 + 5733. Calculate the remainder when 297 is divided by i.
9
Let n(t) = -325*t + 6522. Calculate the remainder when n(-9) is divided by 126.
123
Suppose 2*p = -9 + 11. Let d be p/(-6) - 1790/(-12). Let n = d - 134. Calculate the remainder when 85 is divided by n.
10
What is the remainder when -2 + 4 + (200 - -1) is divided by 9*(4760/(-60))/(-14)?
50
Let q be ((-45)/12)/(8/160). Let j be (-285)/q - (-1)/5. Suppose 0 = -y - 7*o + 5*o + 50, 2*y - 92 = j*o. Calculate the remainder when y is divided by 17.
14
Let v(k) = -3*k**2 + 1. Suppose -5*j + 5*l - 30 = 0, -6*l + l = j - 24. Let i be v(j). Calculate the remainder when (6 + (-2)/i)*(-140)/(-49) is divided by 8.
4
Let o = 39 + -10. Let f = 755 + -644. What is the remainder when f is divided by o?
24
Let j be (4/12 + -1)/(2/(-6)). Suppose 0 = -2*s + 2*g + 58, s + j*g - 21 - 20 = 0. Calculate the remainder when 76 is divided by s.
10
Let q be (-15)/(-12) + 16486/8. Suppose 220 = 14*i - q. What is the remainder when i is divided by 84?
79
Let j(t) = 2*t - 1. Let o be j(5). Suppose -3*v = 5*g - 4*v - o, -2*v + 4 = g. Let l(m) = -10*m - 109. What is the remainder when l(-12) is divided by g?
1
Let x(i) = 62*i**2 - 19*i - 44. Let s be x(-3). Let q = 585 - s. Calculate the remainder when 136 is divided by q.
10
Suppose 0 = -3*c + 104 - 11. Suppose 67 = 3*t - 38. Suppose 7*z - t = 77. Calculate the remainder when c is divided by z.
15
Let c = 9 + 13. Let w(t) = -t**3 + 13*t**2 - 12*t - 6. Let f be w(12). Let u(o) = o**2 + 49. Calculate the remainder when u(f) is divided by c.
19
Let j(n) = -n**2 + 6*n - 1. Let o be j(5). Suppose o*m - 80 = -6*m. Calculate the remainder when m/12*474/4 is divided by 16.
15
Let x = -2741 + 2747. Suppose -9 = -4*g + 3. Suppose 0*w + 60 = 3*m + g*w, w + 14 = m. Calculate the remainder when m is divided by x.
5
Suppose -t = -8*t + 91. Let v = 437 - 244. Calculate the remainder when v is divided by t.
11
Let j(u) = -u - 1. Let x be (3/4 + 0)/(3/16). Suppose 2*s = -0*s + p + 41, 76 = 4*s - x*p. What is the remainder when s is divided by j(-7)?
4
What is the remainder when 46 + -54 + ((-2)/(-12) - 10617/(-18)) is divided by 108?
42
Suppose 3*w - 14*d + 216 = -19*d, 0 = w + 3*d + 68. What is the remainder when (-13923)/w - (35/(-11) - -3) is divided by 61?
59
Calculate the remainder when -19 + 19 - 6032/(-2) - (-72)/(-9) is divided by 994.
26
Let v(p) = p**2 + 14*p + 13. Let i = -34 + -31. Let k = 46 + i. Calculate the remainder when v(k) is divided by 22.
20
Let j = -7 + -482. Let k = 654 + j. Calculate the remainder when k is divided by 83.
82
Let u(h) = 9*h**2 - 76*h + 18. Calculate the remainder when 119 is divided by u(9).
56
Suppose 