 the remainder when ((k + -8)*-2)/((-1)/71) is divided by 5?
2
Let q = -187 + 307. Suppose 5*v + q = 10*v. Calculate the remainder when 89 is divided by v.
17
Calculate the remainder when 7388 is divided by -48*(1 + 8/(-48)*10).
28
What is the remainder when 7132 is divided by (-6)/(-36) - (3 - 10570/84)?
121
What is the remainder when 30884*(10 + 345/(-35)) is divided by 21?
2
Suppose -8*r + 622 - 414 = 0. Suppose n - 4*b - 64 = 0, -3*n + b = 2*n - 339. What is the remainder when n is divided by r?
16
Calculate the remainder when 1 - (-153845)/30 - ((-7)/6)/(-7) is divided by 38.
37
Let a(b) = 574*b**2 - 2*b. Let h be a(1). Suppose -14*f = -h + 54. What is the remainder when 42 is divided by f?
5
Let i be (4 + (-68)/16)/(4/16). Calculate the remainder when ((-2)/(-4 - -5))/i - -122 is divided by 14.
12
Suppose -62 + 4 = -2*o + 2*f, 4*o - 144 = -3*f. Suppose -3*z + 57 = o. What is the remainder when 25 is divided by z?
1
Let l(a) = 216*a**2 + 80*a + 352. What is the remainder when l(-5) is divided by 17?
14
Suppose 86 = 5*c + 16. Suppose 2*z - 948 = 5*j, 5*z + 4*j = -618 + 2988. Let l = z + -467. What is the remainder when c is divided by l?
0
Suppose -f = 4*g - 69, -8 = f + 2*g - 85. Let k(i) = 5*i**2 + 57*i + 699. What is the remainder when k(-11) is divided by f?
82
Let o = 131 + -135. What is the remainder when 29 is divided by (-325)/(-17) + -2 + o/34?
12
Let d be (-1 - 0)/(-2*2/8). Suppose -52 + d = -2*g. Suppose -2*q + g = -q. What is the remainder when q is divided by 13?
12
Suppose -4*k - 4*b + 588 = 0, -117*k + 119*k - 301 = 5*b. What is the remainder when k is divided by 36?
4
Suppose m + 27*m = -60*m + 6248. Calculate the remainder when ((10*33)/(-3))/(4/(-10)) is divided by m.
62
Let i(h) = 7*h**3 - 21*h**2 - 17*h - 16. What is the remainder when i(15) is divided by 69?
68
Let i = -2572 - -749. Let a = -1814 - i. Let o = -17 - -28. Calculate the remainder when o is divided by a.
2
Let y = 253 + -132. What is the remainder when y is divided by -16*(5 - 50/8)?
1
Let u(s) be the second derivative of -5*s**3/6 - 13*s**2/2 - 85*s - 1. What is the remainder when u(-7) is divided by 16?
6
Let h = 325 - 131. Suppose 0 = 5*r - h - 411. Calculate the remainder when r is divided by 21.
16
Suppose -54*x + 53*x + 5 = 0. Suppose -5*r = -3*f + 484, x*f - 3*r = 84 + 728. Let m(t) = 55*t**2. Calculate the remainder when f is divided by m(-1).
53
Let y be 38/(45/84 - 10/35). Suppose 0 = -4*x - 4*k + y, -3*x + 13*k - 12*k + 118 = 0. What is the remainder when x is divided by 11?
6
Suppose 28 = 5*h - s, 10*s = -h + 13*s. Calculate the remainder when 380 is divided by h.
2
Suppose -7*b + 16 = -3*b. Suppose b*i - 33 = 23. Suppose -156 = -3*m - 3*j, 4*j = -29*m + 33*m - 224. What is the remainder when m is divided by i?
12
Let w = 11195 + -10906. What is the remainder when w is divided by 61?
45
Suppose 0 = 4*n + 3*s - 192, -25 = -n - 3*s + 8*s. Let c be -2 + -1 - (-3 - 3). Suppose c*h = -h + 100. Calculate the remainder when n is divided by h.
20
Suppose 5*a + 29*p + 25 = 33*p, -30 = 5*a - 5*p. Let j be 8/((0 + 1)/(-16)). What is the remainder when (a/(-2))/((-1)/j) is divided by 17?
13
Let r = 211 - 121. What is the remainder when r is divided by ((-65 - -110) + -48)*(1 - 3)?
0
Let r = -64 - -89. What is the remainder when r is divided by 34/(-4)*(29 - 31)?
8
Suppose 0 = -7*d + 12*d - m - 3862, -785 = -d - 4*m. Let j = 975 - d. Calculate the remainder when j is divided by 72.
58
Let k(z) = z**3 + 16*z**2 + 42*z - 4. Let r be k(-13). What is the remainder when (52 - (-2 - -1))/1 is divided by (-21 - r)*(-2)/(-4)?
9
Let w(l) = 4*l**2 - 18*l - 44. Let p be (1 + -6)*-1 - 0. Suppose -p*u - 82 = -m - m, -m = 5*u - 11. Calculate the remainder when w(-4) is divided by m.
30
Suppose -67*o = 4*y - 63*o - 312, o + 2 = 0. Let t(h) = 3*h**2 - 6*h + 4. Let b = 10 + -6. Calculate the remainder when y is divided by t(b).
24
Let y be 10/((2 - 1 - 1) + -1). Let o = y + 14. Suppose 0*f + o*f - 24 = 0. Calculate the remainder when f is divided by 4.
2
Let a = -2286 + 4155. Calculate the remainder when a is divided by 234.
231
Suppose 0 = 18*p + 14*p - 18176. Calculate the remainder when p is divided by 48.
40
Let r(o) = 62*o + 3735. Calculate the remainder when r(-46) is divided by 16.
3
Suppose 25*d + 11*d - 2040 = -15*d. Calculate the remainder when 1075 is divided by d.
35
Suppose -3*v = 5*h - 461, 3*h + 59 + 62 = v. Calculate the remainder when 2256 is divided by v.
126
Let l be (9/2)/(-3)*(-13 + 19). Let d be 3 - -3*3/l - -1. Let z(h) = 24*h - 13. Calculate the remainder when z(d) is divided by 30.
29
Let s(j) = -46*j - 1. Let g be s(-1). Suppose 3*d = 2*b + 82, -3*d - 38 = 3*b + 70. Let k = g + b. What is the remainder when 40 is divided by k?
5
Suppose 17*v + 2*v = 323. What is the remainder when 1 + -3 + 23 + (-4 - -1) is divided by v?
1
Let z = 82 + -74. Suppose -5*r + z = -2. Suppose -6*g + 3*g + 353 = -4*c, 8 = r*c. Calculate the remainder when g is divided by 25.
23
Let b = 10 - -101. Suppose -4*d - 764 = 5*l - 3*l, -2*l - 768 = 3*d. Let s = l + 429. Calculate the remainder when b is divided by s.
33
Let w = -2903 + 3108. Calculate the remainder when 1638 is divided by w.
203
Let c(j) = -16*j**3 - 16*j**2 - 15*j - 296. What is the remainder when c(-9) is divided by 41?
39
Let a be (46/(-8))/(4 + (-198)/48). Let g be (a/5)/(1/(-5)). Calculate the remainder when 91 is divided by (g/(-8))/(5/(18 + 2)).
22
Let c = -170 + 222. Suppose -46*o + 551 - 91 = 0. Calculate the remainder when c is divided by o.
2
Suppose 0 = -5*p + 15, -2*p = -5*f - 3 - 43. Let o be (f/(-2) - 7)*8/6. Calculate the remainder when (1 + 826/o)*(-4)/6 is divided by 47.
43
Suppose -8*u - 4*p - 23 = -9*u, 0 = 4*u + 2*p - 2. Suppose -5*f + 217 = u*t, 3*f - 3*t - 137 = 2*t. Calculate the remainder when 305 is divided by f.
41
Suppose -52*t + 13263 = 4475. What is the remainder when 333 is divided by t?
164
Let o = -6140 - -7180. Calculate the remainder when o is divided by 62.
48
Let i = 54 - 7. Suppose -4*m = -5*k + 21, 4 = 4*k - m - 4. Suppose -2*y = d - 29, -d - k = -y - 24. Calculate the remainder when i is divided by d.
22
Suppose g - 14 = -5*m + 16, -3*g + 3*m + 90 = 0. Let t = -18 + g. Suppose -t*b + 11*b + 104 = 0. Calculate the remainder when b is divided by 28.
20
Let i = 12994 - 12837. Suppose -4*u + 108 = 4*w, -3*w - 2*w - u = -155. Calculate the remainder when i is divided by w.
29
Let q(w) be the second derivative of w**3/2 + 92*w**2 + 4*w + 11. What is the remainder when q(-37) is divided by 20?
13
Let c(q) = -4*q - 13 - 3*q**2 + q**2 + 4*q**2 + 8. Let d(u) = -u**3 - 7*u**2 + 7*u + 12. Calculate the remainder when d(-8) is divided by c(-2).
9
Let s = 7 + -3. Suppose 4*x = -s*r + 6*x + 202, -2*x = 4*r - 198. Calculate the remainder when 8/10 - (-1510)/r is divided by 11.
9
Let l be 309 + (-3)/(-12)*0. Suppose -l + 88 = -13*o. What is the remainder when 251 is divided by o?
13
Suppose 12*j - 45 = -45. Suppose 0*v + 5*v + 226 = 2*o, -2*o - 3*v + 194 = j. What is the remainder when 306 is divided by o?
100
Let u = -14 + 17. Suppose -u*m = -2*h - 818, -4*m = m + 2*h - 1342. Let g = m - 151. Calculate the remainder when g is divided by 10.
9
Let z = 22 + -29. Let g(h) = 5*h - 20. Let b be g(z). Calculate the remainder when (-2)/((-8)/1) - b/4 is divided by 6.
2
Calculate the remainder when 1227 is divided by (-11)/(51/78*-1 - 54/(-351)).
17
Let g = 48 - 13. Let c = 301 - 308. Let l(y) = y**3 + 10*y**2 + 6*y - 3. Calculate the remainder when l(c) is divided by g.
32
Let l(k) = 5*k**3 + 2*k**2 - 4*k - 7. What is the remainder when l(4) is divided by 106?
11
Let r be (-5 + 3)*(-12 + 14). Calculate the remainder when 69 is divided by 5/1 - (29 - -3)/r.
4
Let y = 14787 - 14660. What is the remainder when y is divided by 6/4*(-48)/(-9)?
7
Suppose 5*i - i - 28 = 0. Suppose 4*r - 7 = -3, -12 = -b - 5*r. Let o(j) = 10*j - 17. What is the remainder when o(b) is divided by i?
4
Suppose -3*i + 2*i + 2*r = 1, -4*r + 16 = 0. Suppose -273 = -m - 270. Let u(j) = 2*j**3 - 2*j**2 - 3*j. Calculate the remainder when u(m) is divided by i.
6
Let u = -510900 - -510910. Let w be 418/6 - 3/(-9). Calculate the remainder when 1/2 + w/4 is divided by u.
8
Let i be 6/10 + (-7 - 6/10). What is the remainder whe