/(-42)). What is the remainder when 16/(-6)*p/(-4) is divided by w?
4
Let t(w) = 6*w - 53. Let u(r) = r**2 - 13*r + 23. Let p be u(16). Let k = -44 + p. Calculate the remainder when t(k) is divided by 10.
9
Suppose 38*r - 7*r = -30*r + 29341. Calculate the remainder when r is divided by 164.
153
Suppose 4*c - 1500 = 4*p, c - 2*p - 301 = 69. Calculate the remainder when c is divided by 24.
20
Suppose -4*i = 3*q - 295 + 2208, 0 = -3*i + 3. Let r = q + 726. What is the remainder when r is divided by 22?
21
Let x = -8062 + 12393. Calculate the remainder when x is divided by 19.
18
Let h = -6165 + 6314. Calculate the remainder when 331 is divided by h.
33
Suppose 4*s + 5*y - 9730 = 0, -240*y = s - 242*y - 2413. What is the remainder when s is divided by 800?
25
Suppose -3783 = -24*c + 11*c. Calculate the remainder when c is divided by 20.
11
Let d(b) = -b**3 - 7*b**2 - 12*b - 17. Let n(h) = -2*h**3 - 6*h**2 - 69*h - 552. What is the remainder when n(-10) is divided by d(-7)?
64
Suppose -63 = 5*p - 8*p. Suppose 5*v - 34 - 143 = -4*u, 2*u + 2*v - 88 = 0. What is the remainder when u is divided by p?
1
Let k = 1373 - -1377. What is the remainder when k is divided by 913?
11
Let x(d) = d**2 + d - 8. Let g be x(-5). Suppose 5*c - 38 = -2*o, -53 + 1 = -4*o + 2*c. What is the remainder when 6/g*((-656)/(-4))/2 is divided by o?
13
Let d(h) = -1117*h - 4309. What is the remainder when d(-5) is divided by 203?
58
Let j(g) = g**3 + 9*g**2 + 6*g + 12. Suppose -2*y + 0 = q - 2, -2*q = -5*y + 23. Calculate the remainder when j(q) is divided by 5.
3
Suppose -140 = -7*q - 7*q. Let k = q + -10. Suppose 30*t - 23*t - 182 = k. Calculate the remainder when t is divided by 7.
5
Let n be -1*16/10*(-1 + -19). Suppose 3*a - 28 = n. Suppose 5*x = -a, 4*h + 2*x = 7*x + 72. Calculate the remainder when h is divided by 8.
5
Suppose -104*b = 99*b - 13*b - 27740. What is the remainder when b is divided by 47?
5
Let r(g) = 403*g + 5254. Suppose 0 = 3*u - 744 - 327. Calculate the remainder when u is divided by r(-13).
12
Let a(l) be the first derivative of 17*l**3/3 - l**2 + 26. Calculate the remainder when a(-2) is divided by 23.
3
Let l = -125936 - -126001. Suppose 1 = 4*r - 3, 3*a - 947 = 4*r. Calculate the remainder when a is divided by l.
57
Suppose 0 = 5*u - 3*s + 403, u - 5*s + 101 = 38. Let o = u - -213. What is the remainder when o is divided by 6?
4
Let x(h) = h**3 - 3*h**2 - 2*h + 6. Let d = 77 - 62. Suppose -3*y = -d - 525. What is the remainder when y is divided by x(4)?
12
Suppose -91 = -1283*s + 1270*s. What is the remainder when 5501 is divided by s?
6
Let r = -2 - -3. Suppose 40*f - 1116 = 9*f. What is the remainder when f is divided by (-40)/(-12)*3*r?
6
Let m(q) = -1358*q**3 + 43*q + 45. What is the remainder when m(-1) is divided by 452?
4
Let j be (-4)/16 + (-4 - (-444)/(-16)). What is the remainder when 77 is divided by 2/j - (-21033)/656?
13
Suppose b - 1 = -h, 4*b = -4*h + 6*b - 2. Let v(w) = -w**3 - 4*w**2 + w. Let i be v(h). Suppose 3*c - 2 - 40 = i. What is the remainder when 67 is divided by c?
11
Suppose -45*u = -1 + 1. Suppose u = -12*l + 321 - 117. What is the remainder when 180 is divided by l?
10
Let s = 147 + -146. What is the remainder when 66 is divided by (s + 1)/(4/74)?
29
Suppose -k = 5*c - 50, -3*k + 47 + 119 = -c. Calculate the remainder when 852 is divided by k.
27
Let s = -773 + 1236. Suppose -12*v = 5*j - 9*v - s, -4*v + 79 = j. What is the remainder when j is divided by 12?
11
What is the remainder when (-2)/11 + (-15)/(-66)*(-1452284)/(-190) is divided by 20?
17
Suppose -2*l - l + 23 = -4*u, -u + 3*l = 17. Calculate the remainder when 58 is divided by u/(-5) + (-2352)/(-120).
18
Let d = 5775 - 1783. Calculate the remainder when d is divided by 85.
82
Suppose 13*s - 18*s = 0. Suppose s = 12*d + 16*d - 19964. What is the remainder when d is divided by 51?
50
Let g = 57 + -17. Calculate the remainder when 179 is divided by 24/g + 681/15.
41
Suppose -3746*l + 3851*l - 8610 = 0. Let y(u) = 3*u**2 + 5*u + 3. What is the remainder when l is divided by y(-4)?
20
Let v = -89 + 132. Suppose -4*p + v = -221. What is the remainder when p is divided by 17?
15
Let r be ((-191)/(-3))/(12/36). Suppose -31*c = -32*c + r. What is the remainder when c is divided by 6?
5
Let g(q) = q**3 - 14*q**2 - 27. Let r be g(15). Let b = 96 + r. Calculate the remainder when b is divided by 59.
58
What is the remainder when 549 is divided by (8636/408 - (-4)/3)*8?
9
Let a(c) = 10*c + 1. Calculate the remainder when (45/12)/(15 - 295/20) is divided by a(1).
4
Let r(h) = -h**2 + 16*h - 17. Suppose -16 = -7*l + 152. Calculate the remainder when r(10) is divided by l.
19
Suppose t - 6*q + 8*q = 2303, -6*t + 13788 = 2*q. Calculate the remainder when t is divided by 69.
20
Let c = -795 + 1154. Let u = -722 - -755. Calculate the remainder when c is divided by u.
29
Let l = -98 - -173. Let u(o) = 2*o**2 + 4*o - 16. Let j be u(9). Suppose 0 = z - 8*z + j. Calculate the remainder when l is divided by z.
23
Let r = -798 - -1547. Calculate the remainder when r is divided by 75.
74
Suppose 0 = m + t - 26, 14 = -0*m + m - 3*t. Let a be -5 - (-264)/((-30)/(-5)). Calculate the remainder when (44/3)/(13/a) is divided by m.
21
Suppose -4*o + 191 = -104*u + 107*u, o - u - 46 = 0. Calculate the remainder when -6*-1*38 + 0 is divided by o.
40
Let k(q) = 695*q + 579. What is the remainder when k(0) is divided by 257?
65
Let o be ((51/119)/(2/42))/(-1). Calculate the remainder when 63/(-3)*(498/o - -2) is divided by 102.
100
Let h(f) = 6*f**3 - 5*f**2 + 30*f - 33. What is the remainder when h(2) is divided by 51?
4
Let y(v) = v**3 + 14*v**2 - 59*v + 146. What is the remainder when y(6) is divided by 62?
16
Suppose 10 = -2*j - 0*j, 5*m + j = -15. Suppose 16 = 4*x, -3*x - x = y - 96. What is the remainder when y is divided by (2/6)/((-1)/(-42)) + m?
8
Let h = 65 + -67. Let c(q) = q**3 + 3*q**2 + 4*q + 6. Let l be c(h). Calculate the remainder when l/3*(-405)/(-18) is divided by 11.
4
Suppose 124*y - 22660 = -4369 + 24365. Calculate the remainder when 1056 is divided by y.
24
Suppose 0 = 5*k - 3*k - 4, 2*d = k + 106. Let b = d + -29. What is the remainder when b is divided by 7?
4
Let d(w) = w**3 + 5*w**2 - 2*w + 26. Let u be d(-6). Let a(g) = -3372*g + 3365*g + g**u + 4 - 1. Calculate the remainder when 42 is divided by a(8).
9
Let p = 7 - 2. Suppose -4*i - 3*l + 608 = 2*l, -152 = -i - 2*l. Suppose -108 - i = -p*a. Calculate the remainder when a is divided by 9.
7
Suppose -97 = -3*n + 2489. Let u = 383735 + -383708. What is the remainder when n is divided by u?
25
Calculate the remainder when (403254/72 + -14)*4 is divided by 50.
47
Suppose 3*q + 0 - 60 = -3*z, -3*z + 3*q + 54 = 0. Let g = z - -10. Suppose -5*d + 0*d = -j + g, -j - 2*d = 6. Calculate the remainder when 26 is divided by j.
2
Suppose 3*c = r + 347, -243 = -2*c + r - 13. Calculate the remainder when 583 is divided by c.
115
Suppose -5*q + 10 = -z + 8, -z + 6 = 3*q. Suppose 0 = 3*i + z*y, 2*i + 5*y = -12 - 0. Calculate the remainder when 23 is divided by i.
3
Suppose -4*s - s - 8 = 4*q, -3*s + 10 = -5*q. Suppose s = a - 28 - 70. What is the remainder when a is divided by (-24)/(-28) + 169/7?
23
Let i(c) be the first derivative of -1/4*c**4 - 7*c - 11/3*c**3 - 25 - 1/2*c**2. What is the remainder when i(-12) is divided by 30?
29
Let k(x) = -3*x**2 - 140*x + 74. What is the remainder when 186 is divided by k(-47)?
24
Suppose 3*a = -0*a + 21. Let x = -284 + 377. Suppose 0 = -20*q + x + 707. What is the remainder when q is divided by a?
5
Suppose -3*q + 3*z = -126, 4*q - 432 + 255 = -5*z. Calculate the remainder when 21325 is divided by q.
40
Suppose -105 = -5*i + 4*u, -3*u + 53 = 75*i - 71*i. Suppose 0 = 3*w + 2*w - 1680. Calculate the remainder when w is divided by i.
13
Let u(w) = -85*w**2 - w - 1. Let i be u(-1). Let b = i - -133. Calculate the remainder when 189 is divided by b.
45
Suppose 4*o + 760 = 10*o + 4*o. Suppose -7*j + 100 = -2*j. Suppose -6*d + o = -j. What is the remainder when 78 is divided by d?
14
Let o = -2296 - -2338. Suppose o*j - 16*j = 1092. Let f = -29 - -51. Calculate the remainder when j is divided by f.
20
Let u(s) = -s**3 + 35*s**2 - s + 47. Let n = -468 + 503. What is the remainder when 82 is divid