e -q*z + f = -12. What is the remainder when z is divided by 2?
1
Let r(h) = -h - 1. Let n be r(-4). Suppose 0 = -x + n*f + 18, x - 4*f = 3*x + 14. Suppose t + x*t = 88. What is the remainder when t is divided by 8?
6
Suppose -4*x = 3*x - 1134. Let d = 201 + x. Calculate the remainder when d is divided by 92.
87
Let q(h) = -h**2 - 3*h - 17. Let o be q(-9). Let f = 9 - o. Calculate the remainder when 318 is divided by f.
78
Suppose -3*a = 2*p - 1618, 5*a + 4*p - 1960 = 736. Suppose 3*n = -3*n + a. Calculate the remainder when n is divided by 1 + 8 - (8 - 30).
28
Suppose 4*k = 3*v + 3 - 32, -4*v = k - 7. Calculate the remainder when -5 - ((-179 - 3) + -5 + k) is divided by 10.
7
Let n = 131 - 94. Calculate the remainder when -4 - (-1006)/14 - (-5)/35 is divided by n.
31
Let a be 1*183*-6*4/(-24). Let d = -172 + a. Calculate the remainder when 38 is divided by d.
5
Suppose -t = -5*c - 13, 2*t - 2*c = -2*t + 16. Let j = -238 - -301. What is the remainder when j is divided by t/3 + -4 - -25?
19
Let n(c) = 51*c + 7 + 13*c - 13. Let i be n(1). Suppose 66 = 61*u - i*u. Calculate the remainder when 108 is divided by u.
20
Suppose -4*r - u = -282 + 239, -r + 4*u = 36. What is the remainder when ((-46)/3)/((-3)/9) is divided by r?
6
Suppose 0 = -x + 20 - 15, m = 5*x - 25. Let h(c) = 5*c + 5. Calculate the remainder when 142 is divided by h(m).
2
Calculate the remainder when 2978 is divided by ((-8)/38)/(52/(-2470)).
8
What is the remainder when (-1)/((-12)/282)*(132 + 2) is divided by 19?
14
Let j(x) be the second derivative of -5*x**3/3 - 9*x**2/2 - 5*x + 3. Calculate the remainder when j(-14) is divided by 46.
39
Suppose m - 851 + 67 = 0. Suppose 8*i = i + m. Suppose -3*h + 2 - 33 = -2*v, -4*h - 72 = -4*v. Calculate the remainder when i is divided by v.
20
Suppose 6*d = -317 - 13. Let b = -32 - d. What is the remainder when 41 is divided by b?
18
Let b be (76/16 - 4/(-16)) + 185. Suppose -5*m = -b + 135. Calculate the remainder when 183 is divided by m.
7
Let j(w) = w**2 + 39*w - 420. What is the remainder when 349 is divided by j(-49)?
69
Suppose 3*d = -3*i + 7059, i + d - 4*d - 2357 = 0. Suppose 19*l - i = 2244. What is the remainder when l is divided by 61?
59
Suppose -2*p - 5*l = -24, -2*p + 2*l - 1 + 25 = 0. Calculate the remainder when 19 is divided by p.
7
Let y(z) = -146*z - 3334. What is the remainder when y(-23) is divided by 17?
7
Let h(a) = -a**3 - 12*a**2 - 36*a + 3. Let b be h(-6). Suppose -3*t = -3*v + 69, v + 8*t + 1 = b*t. Calculate the remainder when 149 is divided by v.
16
Suppose -t = -6*t + 40. Suppose l - 42 = -5*x + 45, -2*l = -3*x - 148. Let h = -50 + l. Calculate the remainder when h is divided by t.
3
Let g(k) = 2*k**2 + 80*k + 855. Calculate the remainder when g(-44) is divided by 199.
13
Let y = -67 - -72. Suppose -4*f + 107 = g - 288, 5*f - 490 = -y*g. Calculate the remainder when f is divided by 15.
9
Suppose -14*f - 5654 = -35*f + 2830. Calculate the remainder when f is divided by 167.
70
Suppose 196 = 9*u + 61. What is the remainder when 138 is divided by u?
3
Suppose -j + 2020 = 2*q, 36*q - 35*q - 1017 = 3*j. What is the remainder when q is divided by 245?
31
Suppose 11 = k - 2*w, -4*k - 4*w + 14 = -2*w. Suppose -k*a - 81 = -391. Calculate the remainder when a is divided by 21.
20
Let y(t) = 5*t**2 + t - 1. Let i(k) = 58*k**3 + 7*k - 5. Calculate the remainder when i(1) is divided by y(2).
18
Let o = 15262 + -14579. What is the remainder when o is divided by 75?
8
Let b = -9961 - -10513. Calculate the remainder when 1669 is divided by b.
13
Suppose -3*h = 3*k - 40 - 50, -h = 8*k - 191. What is the remainder when 4298 is divided by k?
20
Let z(j) = -256*j - 3902. What is the remainder when z(-16) is divided by 91?
12
Suppose -24 = -6*w + 6. Suppose 5*i - 14 = -4. Suppose x + 64 = i*x - w*b, 4*x - 2*b - 310 = 0. Calculate the remainder when x is divided by 20.
19
Suppose -10*k - 2*q + 259 = -351, 25 = -5*q. Suppose -3*z + 1472 = z. What is the remainder when z is divided by k?
58
Let p(h) = -10*h + 54. Let v be p(-27). What is the remainder when (-2)/(6*(-4)/v) is divided by 10?
7
Suppose -p = 2*p - 600. Suppose q = -7*q + p. What is the remainder when 224 is divided by q?
24
Let i(j) = -j**3 - 18*j**2 - 112*j + 9. Calculate the remainder when i(-11) is divided by 57.
52
Suppose r + 1861*t = 1858*t + 14, 70 = 5*r - 5*t. Suppose -3*i + i - 333 = -3*u, i = 5*u - 555. Calculate the remainder when u is divided by r.
13
Let y(i) = i**2 - 1. Let w be y(3). Let k(t) = -3*t + 8*t - w + 14. Calculate the remainder when k(7) is divided by 15.
11
Suppose 8*p - 6*p - 387 = g, 3*p - 591 = -2*g. Suppose p*w - 179*w = 288. What is the remainder when 41 is divided by w?
5
Let r = -7923 + 7985. Calculate the remainder when r is divided by 20.
2
Suppose 6*i - 82 = 4*i. Suppose w + 2*g - 32 = 0, 5*w + 10 = 2*g + 122. Let z = i - w. Calculate the remainder when 65 is divided by z.
14
Let g = -27 - -31. Suppose -g*j + 0*m + 21 = -3*m, 2*j - 12 = 2*m. What is the remainder when (1 + (3 - -1))/1 is divided by j?
2
Let s(n) = -3*n - 8. Let h be s(6). Let u = 29 + h. Suppose -u*l - 53 = -236. Calculate the remainder when l is divided by 32.
29
Let p(n) = 3*n**2 - 18*n - 163. Let j(l) = -l - 5. Let z(k) = -3*k**2 + 2*k - 1. Let h be z(2). Calculate the remainder when j(h) is divided by p(11).
0
Suppose 24*r = 2*a + 25*r - 1386, 3*a - 5*r = 2092. Calculate the remainder when a is divided by 100.
94
Let h(o) = -1958*o + 77. What is the remainder when 2179 is divided by h(0)?
23
Suppose 33 = -4*f - 5*q + 142, f = -4*q + 41. Suppose -v - 14 + 257 = -2*d, 984 = 4*v - 4*d. What is the remainder when v is divided by f?
18
Let k = 1404 + -1388. Calculate the remainder when 239 + (-8)/4 + 1 is divided by k.
14
What is the remainder when 551 is divided by (2530/(-44))/((-10)/24)?
137
Let g(k) = 223*k + 4306. What is the remainder when 1865 is divided by g(-11)?
12
Suppose 387 + 158 = 28*m - 295. Calculate the remainder when 256 is divided by m.
16
Suppose 17 = -2*o + 95. Let y be (-210 + 2)*(3 + 9). What is the remainder when o is divided by 4/(-22) + y/(-176)?
11
Let c = -56 + 75. Let a = c - 59. Let f = a - -54. What is the remainder when 34 is divided by f?
6
Suppose -2*z = -4*z. Suppose 4*v - 5*s + 0*s - 395 = z, -296 = -3*v + 4*s. What is the remainder when v is divided by 30?
10
Let o = -4420 + 769. Calculate the remainder when o/(-27) + 4/(-18) is divided by 28.
23
Let o = 603 + -588. Calculate the remainder when 30 is divided by (-86)/(-8) + o/60.
8
Suppose 13*g = 78 + 316 + 178. Let s = 45 - -102. Suppose 4*j - 725 - s = 0. Calculate the remainder when j is divided by g.
42
Let t(a) = -2*a**3 - a**2 + 4*a + 1. Let q(x) = -x**2 + 33*x - 5. Let y be q(31). Let g = -47 + y. Calculate the remainder when t(-3) is divided by g.
4
Suppose 40*d = 69174 + 12506. What is the remainder when d is divided by 146?
144
Suppose -8*t + 21 = -115. Suppose t*a = 12*a + 155. Calculate the remainder when a is divided by ((-8)/(-6))/(15/135).
7
Suppose -y = 2*z - 496, -5*y + 1185 = -3*z - 1217. Calculate the remainder when y is divided by 21.
1
Suppose 14*t - 18*t = a + 37, -3*t - 18 = 4*a. Let s = -18 - -39. What is the remainder when (t - -74) + (1 - 9) is divided by s?
14
Let h(v) = 4*v**2 - 58*v + 156. What is the remainder when h(35) is divided by 15?
11
Suppose 0 = -4*h + a + 2547, 4*a = 2*h - 1262 + 6. Suppose 18*s - h = -11*s. Calculate the remainder when 76 is divided by s.
10
Let p = 226 + -218. Calculate the remainder when 70 is divided by (-3)/4 - -2*103/p.
20
Let v = -29162 - -29333. Calculate the remainder when 9744 is divided by v.
168
Suppose -9*d + 185 + 344 = 14*d. What is the remainder when 1517 is divided by d?
22
Suppose -8 - 37 = -5*x. Suppose -x*u - 412 = 245. Let w = u + 97. Calculate the remainder when w is divided by 7.
3
Suppose 4*v = 12, -x - v = 4*v - 20. Suppose -x*w + 87 = 22. Calculate the remainder when (-462)/(-12) - 1/2 is divided by w.
12
Calculate the remainder when 2418 is divided by (1/((-18)/720))/(-4).
8
Let s = -35 + 55. What is the remainder when (69 - (-21251)/(-316))*(-552)/(-7) is divided by s?
18
Let h(o) = 6*o**3 - 12*o**2 - 4*o + 20. Let q be h(5). Let v = q - 399. Calculate the remainder when 252 is divided by v.
48