 5*o + 110 = 0, -5*d + 0*o = -o - 92. Suppose -x = 727 - 818. Calculate the remainder when x is divided by d.
15
Let b(g) = -4*g**3 + 203*g + 1490. What is the remainder when b(-8) is divided by 214?
202
Suppose -4*g + f = 3 - 78, -2*g = -3*f - 55. Calculate the remainder when 764 is divided by g.
16
Let s(d) = -d**3 - 89*d**2 - 1112*d + 73. What is the remainder when 381 is divided by s(-74)?
160
Suppose 3*p - 21 = -3*n, -4*n - 2*p = -6*p + 12. Suppose -39 = n*w - 259. Suppose 1147*s - 1380*s + 4427 = 0. Calculate the remainder when w is divided by s.
15
Let m = 3104 - 3030. What is the remainder when 226 is divided by m?
4
Let p be (-6 + 12)/((-6)/40). Let y = p - -39. What is the remainder when 54 is divided by (y/(-4))/((-8)/(-608))?
16
Suppose -2*g - 162 = -3*w - 4*g, 3*w = 5*g + 120. What is the remainder when 2243 is divided by w?
43
Suppose -57*k - 73475 = -82*k. Calculate the remainder when k is divided by 155.
149
Suppose -5*s + c + 3432 = 0, -33*c = 2*s - 29*c - 1364. What is the remainder when s is divided by 15?
11
Let p(f) = -f**2 + 11*f + 13. Suppose 13*g - 18*g - 15 = 0. Calculate the remainder when g - (-69 + (-10)/(-5)) is divided by p(10).
18
Let t(u) = 118*u + 6579. What is the remainder when t(-45) is divided by 314?
13
Suppose 8 - 288 = -4*u. Let j = 4 - 291. Let h = j + 324. What is the remainder when u is divided by h?
33
Suppose 5*f + 4*d = 7, -2*d = 3 + 1. Let r = 43036 - 43031. Calculate the remainder when r is divided by f.
2
Let j(a) = -2*a**3 + 24*a**2 + 4*a - 14. Let c = -642 - -654. What is the remainder when j(c) is divided by 16?
2
Let z(f) = -f**3 - 5*f**2 + 3*f - 6. Let m(n) = 3 + 5*n + n**2 - 4*n - 2*n + 11. What is the remainder when m(3) is divided by z(-6)?
8
Suppose 0 = 8*x - 2509 + 2301. What is the remainder when 7484 is divided by x?
22
Let x = -1604 + 2185. Calculate the remainder when x is divided by 64.
5
Let a = 2 - -11. Suppose -a*l + 51 + 40 = 0. What is the remainder when 11 is divided by l?
4
Let u = 302 - 287. Calculate the remainder when 1154 is divided by u.
14
Let r(j) be the second derivative of -j**5/20 + j**3/6 + 3*j**2/2 + 2*j. Let y be r(0). Suppose -8 = -y*p + p. What is the remainder when 5 is divided by p?
1
Suppose -62*f + 1996 = -2716. What is the remainder when 142 is divided by f?
66
Let c(b) = 5*b + 34. Let a be c(-7). What is the remainder when -8*a/6*3 + 225 is divided by 58?
55
Suppose -2*x = -37 - 3. Calculate the remainder when (-15336)/(-162) - 5/3 is divided by x.
13
Suppose -1671 = -28*l + 1150 - 861. What is the remainder when 279 is divided by l?
69
Let q = -4542 - -5566. What is the remainder when q is divided by 333?
25
Suppose -12*c + 7*c = -5. What is the remainder when 872/10 + (-1)/5 is divided by -4 - (c + 0 + -35)?
27
Let p(m) = 794*m**2 + 5*m - 10. Calculate the remainder when p(-1) is divided by 193.
7
Suppose 5*d - 3*t - 2143 = 0, -3*d + 16*t + 1313 = 21*t. Calculate the remainder when d is divided by 160.
111
Let w(l) = -l**3 - 9*l**2 - 20*l - 94. Calculate the remainder when 599 is divided by w(-9).
83
Let w(q) = -17*q - 312. Let j be w(-18). Let y(i) = 9*i**2 - 77*i - 8. Calculate the remainder when y(j) is divided by 52.
50
Suppose -185*u - 819 = -276*u. Suppose 3*j + 5*k - 291 = 0, -3*k - 97 = -j - 0*k. Suppose 2*r = 239 + j. Calculate the remainder when r is divided by u.
6
Let b(v) = 3*v**3 - 22*v**2 + 43*v - 104. Calculate the remainder when b(10) is divided by 24.
22
What is the remainder when (2/((-4)/6) - -76) + (-11 - -13) is divided by 28?
19
What is the remainder when 197 is divided by (-22)/6 + (-4225)/(-195)?
17
Suppose 3*p = -4*t + 205, -2*p - 48 = 2*t - 186. Let u = 455 + -436. What is the remainder when p is divided by u?
14
Let i = 16977 + -15117. What is the remainder when i is divided by 12?
0
Let h be (-7279)/(-58) - 6/4. Suppose h = 7*u + 33. What is the remainder when 42 is divided by u?
3
Suppose 0 = -z - 0*z + 37. Let x = z + -33. Suppose -x*v = v - 55. Calculate the remainder when 41 is divided by v.
8
Suppose 0 = -2*f - 2*f - o + 388, 5*f + 2*o = 482. Suppose f*l - 624 = 94*l. What is the remainder when l is divided by 16?
12
Let v = 118 - 93. Suppose 26*k = v*k - 3. What is the remainder when 65 is divided by k/(-18) + (-195)/(-18)?
10
Suppose -1142*s + 208 = -1129*s. Calculate the remainder when 235 is divided by s.
11
Suppose h - 6580 = -27*h. Let p = -127 + h. What is the remainder when p is divided by 23?
16
Suppose -5*d - 2018 = 502. Let m = 562 + d. Let w(c) = 30*c**2 - c + 1. What is the remainder when m is divided by w(1)?
28
Suppose 6*n - 16 = -10*n. Let r(u) be the second derivative of u**3/6 - 2*u**2 + 3*u. What is the remainder when r(7) is divided by n?
0
Let p be -1*(3 + -1 + 13). Let r be (-8)/(-12)*(11 + -8). What is the remainder when 13 is divided by (9/p)/(r/(-10))?
1
Let h = 127 - 73. Let p = -49 + h. What is the remainder when 72 is divided by p?
2
Suppose -2*c - 5*j + 3 = 0, -4*j = 3*c - 2*j - 10. Suppose x - 63 = -c. What is the remainder when x is divided by 21?
17
Let p(z) = z**2 - 13*z - 33. Let s be p(17). What is the remainder when ((-32)/20)/2 - (-3003)/s is divided by 34?
17
Let p(f) = -3*f**2 + 6*f + 6. Let g be p(3). Calculate the remainder when 51 is divided by -1*(29 + g)*-1.
25
Let z be (-218)/(10/(-12) - 42/252). Let q = -163 + z. What is the remainder when 213 is divided by q?
48
Let m be (6 + (-287)/14)*(-1 + -3). Suppose m*i = 64*i - 774. What is the remainder when 23 is divided by (-9)/27 + 1/(9/i)?
9
Let x = -161 - -2485. Suppose -48*z + x = -316. Calculate the remainder when z is divided by 14.
13
Let v(d) = 16*d - 107. Calculate the remainder when 111 is divided by v(8).
6
Let z(f) = -120*f + 869. Calculate the remainder when 67 is divided by z(7).
9
Suppose 0 = -2*y - w + 1097, -70*y + 73*y - 1629 = 4*w. Calculate the remainder when y is divided by 61.
59
Suppose -6*x = 21 - 63. Let v(m) = -m - 4. Let o be v(-7). Suppose -o*a + 7 = -t, -8 = 4*a - a - 4*t. What is the remainder when x is divided by a?
3
Suppose -3*t - 4479 = -2*c, -2*t + 2919 = c + 697. Suppose 10*f - 2*f - c = 0. What is the remainder when f is divided by 14?
13
Suppose 1033*d = 1037*d - 428. Suppose 2*l - 10 = 0, l + d = 2*k + 4*l. What is the remainder when 83 is divided by k?
37
Let i(l) = -l + 25. Calculate the remainder when (-26)/78*5/((-45)/1917) is divided by i(0).
21
Suppose 497 = -17*s + 2146. Suppose -104*r + 210 = -s*r. What is the remainder when 75 is divided by r?
15
Suppose -170 = -5*u - 41 + 726. Calculate the remainder when 403 is divided by u.
61
Suppose 1301*p - 536 = -5*b + 1305*p, b + p - 100 = 0. Calculate the remainder when b is divided by 14.
6
Let v(l) = -l**2 - 3*l + 7. Let j(q) = 1. Let w(y) = 5*j(y) - v(y). Suppose -50 = -21*o + 244. What is the remainder when w(4) is divided by o?
12
Let x(s) = -s + 19. Let k be x(8). Suppose -14*b + 138 = -k*b. Let r = 15 + 10. What is the remainder when b is divided by r?
21
Let k(o) = 19*o + 639. Calculate the remainder when ((-222)/(-4))/(6/16) is divided by k(-32).
24
Let w = 59 - -4. Suppose -5*p + 267 = a, p + 0*a - 3*a - w = 0. Calculate the remainder when p is divided by 28.
26
Suppose 3*w - 4*w = -2*u + 49, -4*w + 46 = 3*u. Suppose 34*d - 896 = 464. Calculate the remainder when d is divided by u.
18
What is the remainder when 7*104 - (8 - -2) is divided by 40?
38
Suppose -147 - 525 = -14*j. What is the remainder when 3260 is divided by j?
44
Let g = 267 - 208. Calculate the remainder when g + 1 - (32 - 30) is divided by 15.
13
Let v = 19971 + -19881. Calculate the remainder when 2175 is divided by v.
15
Suppose 379 = 5*y - 3*c - 199, y + 5*c = 110. Suppose -y*k + 160 = -110*k. What is the remainder when 411 is divided by k?
27
Let c(y) = -y**3 - 19*y**2 + 29*y + 261. Calculate the remainder when 1209 is divided by c(-20).
75
Let u = 6239 - 6035. Calculate the remainder when u is divided by 103.
101
Let u(m) = m**3 + 94*m**2 - 193*m + 249. What is the remainder when 3454 is divided by u(-96)?
4
Suppose 15 = 4*h - 501. Let f = -70 + h. What is the remainder when f is divided by 20?
19
Let b = -6144 + 6188. What is the remainder when b is divided by (0 - 1)*0 - -30?
14
Calculate the remainder when 103 is divided by (4/5)/((-58)/145)*-2.
3
Let