*f - 2921 = -8*f. Calculate the remainder when 1003 is divided by f.
114
Suppose 18 - 30 = 3*b. Suppose f + 5*n - 142 = 0, -f + 2*n = -6*f + 595. Calculate the remainder when f is divided by (-1)/(-2)*b + 14.
9
Suppose 1 = -4*q + 4*o - 7, q + 14 = -5*o. Calculate the remainder when 1/(-3)*(-129)/1 is divided by q/(-22 + 2) + 88/10.
7
Let j = 1097 - 1088. Calculate the remainder when 167 is divided by j.
5
Let s(a) = -a**3 + 27*a**2 - 110*a + 5. Let t(g) = -g**2. Let o(l) = -s(l) + 4*t(l). What is the remainder when 165 is divided by o(27)?
18
Let u be ((80/(-12))/5)/(1/318). Calculate the remainder when 4*-1 - 5/(20/u) is divided by 18.
12
Let p(o) = -14*o + 829. What is the remainder when 68 is divided by p(57)?
6
Suppose -8*p - 72 = -2*m, 0 = 3*p - 64 + 58. What is the remainder when 151 is divided by m?
19
Let x be (-8)/6*18/(-12). Suppose 14*o + 22 = 17*o + 2*g, x*o - 20 = 4*g. What is the remainder when o is divided by 3?
2
Suppose 5*b = 5*t - 545, 10*b - 13*b + 89 = t. Calculate the remainder when t is divided by 2 + (7 - 3 - -24).
14
Suppose -2311*b + 462 = -2308*b. Calculate the remainder when 308 is divided by b.
0
Let k(o) = 2*o**3 - 5*o**2 + 3*o - 4. Suppose 1 + 5 = 2*d. Suppose 2*u = 4*a - 90, -275*a + 2*u = -279*a + 102. What is the remainder when a is divided by k(d)?
10
Let a be 2 + -10*3/(-6). Suppose -21 = a*q - 203. Suppose 91 = 4*p + w, 5*p = 5*w - q + 146. Calculate the remainder when 90 is divided by p.
21
Let b(v) = -4*v**2 + 9*v + 114. What is the remainder when 394 is divided by b(6)?
10
Suppose 48*p + 18018 = 195*p - 11676. Suppose -4*w + 36 = -w. What is the remainder when p is divided by w?
10
Suppose -3*w + 515 = 4*s - 578, -1420 = -4*w + 4*s. Suppose -249 = -8*h + w. Calculate the remainder when 530 is divided by h.
74
Let y = 198 + -152. Let o = 292 - 202. Suppose 0*r = -5*r + o. What is the remainder when y is divided by r?
10
Calculate the remainder when 273 is divided by 1/(28/(-16))*(-6)/(-36)*-105.
3
What is the remainder when -30*(4/(-36))/((-2)/(-102)) is divided by 86?
84
Let n(k) = -2*k**2 + 66*k - 77. Calculate the remainder when n(31) is divided by 10.
7
What is the remainder when 39 is divided by (11/(275/(-20)))/((-7)/175)?
19
Let y = -11407 - -11650. Calculate the remainder when 487 is divided by y.
1
Suppose -74 + 2 = -12*w. Let y(n) = 8*n**2 + 2*n - 38*n**3 + w + 4*n + 39*n**3. Calculate the remainder when 20 is divided by y(-7).
7
Let o = 22 + -12. What is the remainder when 24*(-1 - 3/4*-4) is divided by o?
8
Suppose 2*a - 40 = -3*q, -5*a = q - 3*q - 138. Let u be 25*-2 - a/(-13). What is the remainder when (-130)/4*u/30 is divided by 11?
8
Suppose 4*w + y - 38 = -y, -y = -5. Let m = 19 + -32. What is the remainder when m/26*-2*13 is divided by w?
6
What is the remainder when 103/309 - (-166)/6 is divided by 12?
4
Let b be (-8)/(-36) + 106/9. Suppose b*o = 18*o + 2676. Calculate the remainder when 57 is divided by 4/30 - (5 + o/30).
7
Let d be 527/(-2) - (-10 + 102/12). Let q = d - -298. What is the remainder when 106 is divided by q?
34
Let v(g) = g**3 - 89*g**2 + 796*g - 472. Let p = 6 - 4. What is the remainder when v(79) is divided by p?
0
Let d(b) = -10*b. Let z be d(2). Let r = z - -28. What is the remainder when (10 + -5)/(946/516 + (-15)/10) is divided by r?
7
Let x be ((-39)/26)/(6/20). Let p be (x*20/(-125))/((-1)/(-5)). Suppose 0*y = y - p, -5*q = 2*y - 523. Calculate the remainder when q is divided by 18.
13
Suppose 2482 - 449 = 107*i. Calculate the remainder when 13350 is divided by i.
12
Suppose -f + 106 = 5*o, -16 = 4*o - 2*f - 98. Suppose 0 = -3*z - 2*l + 18, 4*z - 2*l - 35 = -l. Calculate the remainder when o is divided by z.
5
Calculate the remainder when 16/(-6) + (-20684)/(-30) + (-34)/(-170) is divided by 23.
20
Suppose 4*w + 268 = 4*d - 2*w, -w = -4*d + 288. Let n be 231/9 - (-2)/6. Let y = d - n. Calculate the remainder when y is divided by 16.
15
Suppose -4*l + 575 = l. Suppose -242*a + 221*a = -609. What is the remainder when l is divided by a?
28
Suppose 1816 = 4*i + 4*s, 0 = -10*i - 4*s + 423 + 4159. What is the remainder when 922 is divided by i?
0
Let j(a) = -5*a**2 - 2*a + 75. Calculate the remainder when 633 is divided by j(-4).
0
Calculate the remainder when 36958 is divided by 5/(20/(-154))*(-60)/35.
64
What is the remainder when ((-22)/2 + 1)*(0 + (-481)/26) is divided by 3?
2
Let r be 4 + 0 + -2 - 23. Suppose n + 4 = 12. What is the remainder when n is divided by (7/(r/9))/(-1)?
2
Suppose 66*d - 12550 + 4285 = -79*d. What is the remainder when 180 is divided by d?
9
What is the remainder when (-75)/30*20432/(-40) is divided by 128?
125
Let r(y) = y**3 - 8*y**2 + 2*y - 6. Suppose -3*h + 12 = h. Suppose 85 = 5*a + 5*z, a = -z - h*z + 17. Calculate the remainder when a is divided by r(8).
7
Let b(r) = -16*r + 11. Let i be b(-4). Suppose -o + 5*o - i = -d, -5*d = -o - 417. Suppose 5*j - d = -8. What is the remainder when 44 is divided by j?
14
Let p(h) = h + 23. Let u(b) = -b. Let n(w) = p(w) - 3*u(w). Calculate the remainder when 113 is divided by n(3).
8
Let u = -19 - -21. Suppose 3*c - 5*c = -u*w - 6, -5*w = 3*c + 7. Calculate the remainder when (w - -5) + (-53)/(-1) is divided by 12.
8
Let m = -4583 + 4605. What is the remainder when 262 is divided by m?
20
Let f(r) be the second derivative of -2*r**5 + r**4/6 + 5*r**3/6 + 3*r**2/2 - 4*r. Let a = 215 - 96. What is the remainder when a is divided by f(-1)?
39
Suppose -2*t + 861 - 305 = b, -t - 1097 = -2*b. Calculate the remainder when b is divided by 250.
50
Let a(h) = 11*h**2 + 763*h + 3813. What is the remainder when a(-5) is divided by 4?
1
Suppose 2*z - 44 = 5*o - 6, o = -2*z + 38. Let k(g) = -g + 4. What is the remainder when k(-26) is divided by z?
11
Let f(z) = 3*z**3 - 19*z**2 - 23*z + 108. What is the remainder when f(7) is divided by 33?
12
Let c = -69 + 59. Let i be (-4)/(-56)*4 - c/14. What is the remainder when (-1275)/(-100) + i/4 is divided by 4?
1
Let l = 196 + -188. Let q be 36/48 + (-65)/(-4). Let p = q + -3. Calculate the remainder when p is divided by l.
6
Let l = 36 - -15. Let u(p) = 111*p + 4*p**2 - 11*p**2 + p**3 - 50*p - 46*p - 6. What is the remainder when u(7) is divided by l?
48
Let b(w) = -2*w**2 - 52*w - 210. What is the remainder when 248 is divided by b(-17)?
56
Suppose -3*k - 4*w = -374, 40*k - 3*w - 339 = 37*k. What is the remainder when 229 is divided by k?
111
Let q = 751 + -731. Calculate the remainder when 3156 is divided by q.
16
Let p = -612 + 905. Suppose 16*f - 667 = p. Calculate the remainder when 239 is divided by f.
59
Let q = -12 + 9. Let m be (-13)/(13/54)*2/3. Calculate the remainder when 70 is divided by (-73)/q - 24/m.
20
Suppose -90 = -2*h + 4*j, 0*j - 140 = -3*h + 5*j. Let o = h - -53. Calculate the remainder when o is divided by 1/2 - (-172)/8.
20
Suppose 55*j - 3286280 = -36*j + 299939. What is the remainder when j is divided by 87?
85
Let o = 9 + 30. Suppose -g + 0*g + o = 0. Let p = 128038 - 127924. Calculate the remainder when p is divided by g.
36
Suppose 4*v = -3*m + 102, 5*v - m - 137 = -19. Let h = -19 + v. Suppose 0 = -h*y + 16 - 1. Calculate the remainder when 15 is divided by y.
0
Let d(s) = 6*s**2 - 4*s - 18. Let x(c) be the second derivative of -c**4/12 + 7*c**3/3 - 23*c**2/2 - 10*c. Calculate the remainder when d(6) is divided by x(8).
24
Calculate the remainder when (30 - 36)*(-831)/18 is divided by 32.
21
Suppose -2*i + q + 236 = 0, i - 121 = -5*q + 4*q. Let u = 228 - 330. Let d = i + u. What is the remainder when 67 is divided by d?
16
Suppose -164 = 2*i + 5*u - 421, -3*u = 3*i - 390. What is the remainder when 865 is divided by i?
79
Suppose 5*c = -2*v + 242, -10*v = -18*v + c + 926. What is the remainder when 293 is divided by v?
61
Let a(u) = u**2 - 15*u + 20. Let o = -62 + 75. Let p be a(o). Calculate the remainder when (-512)/(-6) - p/(-18) is divided by 30.
25
Let m(j) = -376*j + 187*j - 35 + 178*j. What is the remainder when m(-15) is divided by 33?
31
Let d(b) = -15*b - 311. Let l be d(-21). Suppose -4*w + 3*j + 97 = 0, 0 = -4*w + l*j - 0*j + 100. What is the remainder when 34 is divided by w?
12
Calculate the remainder when 198 is divided by -2*(-135)/4 + 8/((-48)/3).
64
Suppose 0 = -20*j - 5*j - 6122 + 39822. Calculate the remaind