mainder when f(16) is divided by k.
1
Suppose 360*l - 3066 = 318*l. What is the remainder when 442 is divided by l?
4
Let o(n) = n**3 + 15*n**2 - 32*n + 39. What is the remainder when 2273 is divided by o(-17)?
3
Suppose 5*l + 466 = 4*j - j, 3*l - 4*j = -284. Let s = l + 50. Let f = s + 54. Calculate the remainder when 34 is divided by f.
10
Let v be (-3 + 5 - 3) + 3. Suppose 5*r + 881 = v*s + 4*r, 2189 = 5*s + 2*r. Calculate the remainder when s is divided by 55.
54
Suppose -2907 = -295*y + 2998 + 3240. Suppose 0 = -2*h + h + 1. What is the remainder when y is divided by h?
0
Let s = -14 - -18. Suppose -x + 5*x - 65 = 3*d, 0 = s*d - 20. What is the remainder when x is divided by 8?
4
Let d(u) = -370*u + 256. What is the remainder when d(-2) is divided by 93?
66
Let o = -2125 + 2177. What is the remainder when 675 is divided by o?
51
Let u(k) = -k**2 + 7*k - 5. Let c be u(7). Let d = 364 + -351. Calculate the remainder when (23/(-2))/(c/10) is divided by d.
10
Let p(z) = 2*z - 24. Let s be p(8). Let l be (-2 + s/(-7))*(1 - 22). Suppose -7*x = -l*x + 2442. Calculate the remainder when x is divided by 15.
12
Suppose 4*d + 0*p + 5*p - 385 = 0, -4*d + 2*p = -378. What is the remainder when d is divided by -2*(-138)/16*(-868 + 872)?
26
Let h be (28 - 3)/5 + 0. Let y be 7 - 1/(-4)*(1 - h). Suppose -y*f + 4*f = -24. Calculate the remainder when 23 is divided by f.
11
Let q be (432/(-16))/(1/(-9)). Let m = q + -108. What is the remainder when m is divided by 17?
16
Suppose 0 = -34*i - 23*i + 2171 + 394. What is the remainder when 1211 is divided by i?
41
Suppose 5*w + 17 - 200 = -3*q, -q = 2*w - 63. Calculate the remainder when 736 is divided by q.
22
Let q = 6079 + -6055. What is the remainder when 1607 is divided by q?
23
Let a be 5/(-2)*60/(-50). What is the remainder when (278 - -4) + (a - 6) is divided by 70?
69
Let u = -57 + 74. Let r = -6 + u. Calculate the remainder when r is divided by 11.
0
Suppose -11*l - 70 = 7. Let t(u) = u**3 + 5*u**2 - 18*u - 10. What is the remainder when t(l) is divided by 8?
2
Let t = 21710 - 21645. What is the remainder when 173 is divided by t?
43
Suppose a = 4*d + 84, 74*a + 3*d = 75*a - 90. What is the remainder when a is divided by 9?
0
Suppose -12*b = -2471 + 2123. What is the remainder when 372 is divided by b?
24
Suppose 3241 + 4589 = 29*g. Calculate the remainder when g is divided by 71.
57
Suppose 6*z - 496 = 2*z. Let p = -98 + z. What is the remainder when 59 is divided by p?
7
Suppose -5*b + 4*s + 1152 = 0, b + 2*b - s - 694 = 0. What is the remainder when b is divided by -1*7/(-91)*169 + 0/2?
11
Let o(m) = -m**3 - 83*m**2 - 71*m + 912. What is the remainder when 208 is divided by o(-82)?
8
Suppose -i + 0*i - 8 = 0. Let z be -5 + 262/(i/(-4)). Let r = 128 - z. Calculate the remainder when 9 is divided by r.
1
Let v(f) = 2*f**3 - 6*f**2 - 4*f - 4. Suppose 3 = 4*u + 235. Let z = -27 - u. What is the remainder when z is divided by v(4)?
7
Suppose 3*g - 3 = 3*r, r = 5*g - 8 - 5. Suppose g*c - 2*z = 65 + 247, c - 94 = 4*z. What is the remainder when c is divided by 10?
6
What is the remainder when 1/(-5) + (-49)/70*-126 is divided by 17?
3
Let a(r) be the second derivative of -r**4/12 + 7*r**3/2 + 27*r**2/2 + 16*r - 2. What is the remainder when a(20) is divided by 13?
8
Let h(k) = k**3 - 10*k**2 + 8*k + 10. Suppose 120 + 879 = 111*v. What is the remainder when v is divided by h(9)?
0
Suppose 5*p + 32 = -3*b, 5*b = -0*p + 5*p + 40. Let k be 56/(-6)*(-18)/p. Let d = -5 - k. What is the remainder when 73 is divided by d?
16
Let j(b) = -3*b + 3. Suppose 19*x = 15*x + 12. Let g be j(x). Let r(p) = -3*p**3 - 15*p**2 - 11*p - 13. What is the remainder when r(g) is divided by 27?
26
Let r(m) = m**3 - 14*m**2 + 10*m + 24. Let f be r(8). Let i = f - -340. What is the remainder when 239 is divided by i?
59
Suppose -235*x + 233*x - z = -170, 3*z - 348 = -4*x. What is the remainder when 1778 is divided by x?
77
Suppose y + 30568 = 4*r - 15249, 5*y = -12*r + 137475. Calculate the remainder when r is divided by 8.
7
Let f be 19/((-57)/(-54)) + 0. Suppose -17*r + f*r = 146. What is the remainder when r is divided by 39?
29
Let u(a) = 15*a - a**2 - 5*a + 2*a**2 + 2*a + 21. Let z be u(-12). Suppose z*r - 25*r + 12 = 0. What is the remainder when r is divided by 2?
1
Suppose 6 = -246*v + 248*v. Suppose -5*b + 149 = -2*d, 6*d - v = 5*d. Let t(r) = 13*r**2 - 3*r - 3. Calculate the remainder when t(-3) is divided by b.
30
Let z(a) = 147*a - 236. What is the remainder when 63 is divided by z(2)?
5
Suppose 7*m = 2*m + 4735. Suppose 0 = -7*z + 838 + m. Suppose -5*j + 130 = -z. What is the remainder when j is divided by 27?
23
Let w be 1*(5 - 10 - -245). Suppose -5*g + w = -g. Suppose -82 = -5*l + l + f, 3*l - 57 = 3*f. What is the remainder when g is divided by l?
18
Suppose -96*b + 209*b = 90*b + 1495. What is the remainder when 102 is divided by b?
37
Let v(x) = -2*x**3 + 3*x**2 + 3*x + 3. Suppose 14 = -9*d - 4. Calculate the remainder when 40 is divided by v(d).
15
Let l(d) = -4*d**3 - 7*d**2 + 10*d + 87. What is the remainder when 1003 is divided by l(-5)?
279
Suppose 0 = -2*c + 5*c - 150. Let g be (-26)/(5 - (-92)/(-20)). Let w = c - g. Calculate the remainder when w is divided by 39.
37
Let c = -8423 - -9331. Calculate the remainder when c is divided by 429.
50
Let w(x) = -314*x - 2116. What is the remainder when w(-7) is divided by 75?
7
Let z(j) = j**3 - 51*j**2 + 502*j - 2450. Suppose -x = 1, -g - 3*x + 0*x = -236. What is the remainder when g is divided by z(40)?
29
Let g(y) = 213*y + 4933. Calculate the remainder when 723 is divided by g(-22).
229
Let w be 238/(-16) - (-37)/(-296). Let t(n) = n**2 + 5*n - 102. Calculate the remainder when t(w) is divided by 27.
21
Suppose -13471 - 312449 = -140*r. Calculate the remainder when r is divided by 579.
12
Suppose -11 = 2*k - 0*k + 3*f, -3*k + 4*f + 9 = 0. Calculate the remainder when 13 is divided by 76/6 + ((-20)/(-12))/k.
2
Let s(l) = -l**3 - 8*l**2 - 2*l - 63. Calculate the remainder when 185 is divided by s(-9).
5
Let r(x) = 5*x + 14 - 17 - x + 29. Suppose 12 = 2*t - 4*t. What is the remainder when 14 is divided by r(t)?
0
Let y(l) = 1249*l - 1236. Suppose 0 = -3*f + 253 - 25. What is the remainder when f is divided by y(1)?
11
What is the remainder when 6914 is divided by (-21296)/(-280) + 8/(-140)?
74
Let p = -8791 - -8797. What is the remainder when 5403 is divided by p?
3
Let o = 19 + 0. Let m = o - -9. Let y = 10008 + -9993. What is the remainder when m is divided by y?
13
Let t(h) = h**3 + 23*h**2 + h + 17. Let z be t(-23). What is the remainder when (1 + 8)/(-1)*190/(-30) is divided by z/(-4)*32/3?
9
Let n = -8934 - -9757. What is the remainder when n is divided by 45?
13
Let g(a) be the third derivative of a**5/60 + 17*a**4/24 + 11*a**3/3 - 15*a**2. Let k = 11 - 5. Calculate the remainder when g(-16) is divided by k.
0
Suppose 3*z = 3*m - 75, z = -5*m - 3*z + 98. Suppose 5*u - 1988*d = -1987*d + 322, -d = -3. What is the remainder when u is divided by m?
21
Let f = -221 + -850. Calculate the remainder when (f/238)/(2/(-4)) is divided by 0/2 + 1 - -1.
1
Suppose 3*g + d - 3903 = -2*g, 6*g = 4*d + 4694. What is the remainder when g is divided by 56?
53
Suppose -47 = -10*n + 13. Let k(m) = m**3 - 3*m**2 - 14*m + 4. Calculate the remainder when 306 is divided by k(n).
26
Let m be ((-228)/(-15))/(6/315). Let x = m - 100. What is the remainder when x is divided by 35?
33
Suppose 118357 - 331 = -28*q + 265*q. Calculate the remainder when q is divided by 189.
120
Suppose 2*w = 3*o + 280 + 13, 0 = 2*o - 2. What is the remainder when w is divided by 43?
19
Let o be -2 + (-2 - (-3 - 315)). Suppose 206 + o = 5*q. Calculate the remainder when q is divided by (-146)/(-10) + 20/50.
14
Let i(q) = q**3 - 4*q**2 - 10*q + 39. Let d be i(6). Suppose 0 = -d*j + 67*j - 240. What is the remainder when 84 is divided by j?
9
Let s = -396 + 815. Suppose -d = 3*p - 7, d = 5*p - 4*p + 11. Calculate the remainder when s is divided by d.
9
Calculate the remainder when 27 - 9 - 8 - -658 is divided by 220.
8
What is the remainder when (36/8)/((-81)/(-17658)) is divided by 19?
12
Let t be (-16)/(-88) - (14640/(-22))/3. Let w be t + -9*(-5)/15. Suppose 0*u = 15*u - w. Calculate the remainder when