hat is the remainder when 232 is divided by ((-4221)/2345)/(2 + 1749/(-870))?
58
Let a = 368 + -310. Suppose 2*j - 32 - 7 = 3*n, -4*j = 5*n - 89. What is the remainder when a is divided by j?
16
Suppose -3*b - 183 = -4*z + 128, -3*b - 309 = -3*z. Let t = b + 89. What is the remainder when 0 + (-3)/t + 207/4 is divided by 27?
25
Suppose -5*w - 11*w = -352. What is the remainder when 72 is divided by (-4)/(8/w)*-1?
6
Let t(d) = d**2 - 21*d - 44. Let k be t(23). What is the remainder when 29 is divided by k/(-7) + 630/147?
1
What is the remainder when 362 is divided by (10/(-100)*(-270)/12)/(6/136)?
5
Suppose -3*t + 3*q + 64 = -29, -5*q = t - 61. Calculate the remainder when 8/60 - (-3176)/30 is divided by t.
34
Let s = 22245 + -19359. What is the remainder when s is divided by 46?
34
Let h(j) = -4*j**2 + 93*j + 21. Let g be h(21). Let b = 308 - g. What is the remainder when b is divided by 3?
2
Let g be 4/(1/(68/264) - 4). Let i be (2/(-3))/(g/(-765)). What is the remainder when 4/6*i/20*-30 is divided by 10?
5
Let u = -225 - -379. Let f = -131 + u. Calculate the remainder when f is divided by 9.
5
Let z = -118 - -124. Let q be 0 - 87/z*-2. Suppose 25*f = q*f - 192. What is the remainder when 191 is divided by f?
47
Suppose 57 + 117 = -6*h. Let q(m) = -m - 18. What is the remainder when 72 is divided by q(h)?
6
Let i(p) = 71*p - 8 + p**3 - 33*p - 26*p + 13*p**2 + 0*p**2. Let x be i(-14). What is the remainder when 171 is divided by (x/52 - -7) + 1122/26?
42
Let b(m) = m**3 + 16*m**2 + 10*m. Let j be b(-4). Suppose 117 = -j*k + 165*k. Let n(v) = 4*v**2 + 3*v - 4. Calculate the remainder when n(3) is divided by k.
5
Let n(f) = -28 + 0*f - 2*f + 0*f. Let h(i) = 2*i + 3. What is the remainder when h(4) is divided by n(-16)?
3
Suppose -5 = 3*b - 11. Suppose 22 = 4*o + b. Suppose -o*m - u = -16 - 1, -2*m = 4*u - 14. Calculate the remainder when 10 is divided by m.
1
Suppose 5*m = 3*a + 65, 5*a = -m + 5*m - 52. Suppose 0 = -p + m. Calculate the remainder when (-1)/(4/(-184)) - 2 is divided by p.
5
Suppose -4*y + 31 = -b, -5*y + 11 + 9 = 5*b. Calculate the remainder when y is divided by (-68)/(-918)*72 + 28/(-12).
1
Suppose 4*h = 79 - 15. Suppose -211*k = -101*k - 105*k - 655. What is the remainder when k is divided by h?
3
Suppose 3*b + 6 - 21 = 0. Let z(x) = 62*x**2 + b*x - 5 - 17*x**2 + 14*x**2. What is the remainder when z(1) is divided by 15?
14
Suppose 0 = 74*t + 37*t - 13653. Suppose -3*d + 64 + 24 = 2*v, 0 = -5*d + 5*v + 180. Suppose t - d = 7*r. Calculate the remainder when r is divided by 7.
6
Calculate the remainder when 4/(4/(-628)*-2) is divided by 63.
62
Let i = 59 - 55. Suppose -c + x + 22 - 3 = 0, 0 = i*c - 3*x - 73. Let q = 33 - c. What is the remainder when 66 is divided by q?
15
Suppose 43*l - 38*l - 18 = -g, 69 = 5*g + 4*l. What is the remainder when 3884 is divided by g?
10
Let x = -133 + 190. Calculate the remainder when x is divided by (68/119)/(2/77).
13
Suppose 4*d - 13 = 19. Let l be 0/(-1)*2/d. Suppose l = -2*u - 4*x + 40, -x - 18 = -u - 2*x. Calculate the remainder when 55 is divided by u.
7
Let d(i) = 48*i**2 - 64*i - 64. What is the remainder when 2 + 223 - (-2 + 5) is divided by d(-1)?
30
Let l(b) = -b**2 + 216*b - 1612. Let r = -2 - -1. Calculate the remainder when l(8) is divided by (-11 + 0)/(r + 0).
8
Let q be (3 + (-136)/40)*5*33. Let b = q - -99. Suppose -5*z = -84 + 24. Calculate the remainder when b is divided by z.
9
Suppose 0 = -11*w - 16 + 203. Suppose -1480 = -13*o + 3*o. Calculate the remainder when o is divided by w.
12
Let k(x) = 3*x**2 - 7*x + 7. Calculate the remainder when k(5) is divided by (672/(-140))/((-12)/15).
5
Let x(z) = -10 + 27*z - 14*z - 17*z. Let p be x(-3). Suppose 0 = p*l + 5*l - 1106. Calculate the remainder when l is divided by 23.
20
Let j = 24438 - 24389. What is the remainder when 407 is divided by j?
15
Let z be -1 + -1 - (-812)/7. Suppose 0 = f - g - 211, -4*g - 112 = -f + z. Calculate the remainder when f is divided by 19.
16
Let h(u) = 5*u - 15. Let q be h(24). Suppose q = 5*a - 0. Calculate the remainder when a is divided by 8.
5
Suppose 3*j = 5*n - 14, 4*n - 6*j + 7 = 11. Suppose 232 = q + 3*q - n*g, -2*q + 92 = 4*g. Calculate the remainder when q is divided by 12.
6
Let c(f) = 5*f + 233. Let j be c(-46). Suppose -53 - 55 = -4*b - 5*s, 2*s = -j*b + 81. Calculate the remainder when 49 is divided by b.
22
Suppose -39*w - 8096 = -83*w. What is the remainder when w is divided by 38?
32
Suppose -3*y = 5*q - q - 140, -y = -q - 56. Suppose -y = -9*h + 128. Suppose -25*j = -h*j - 180. What is the remainder when j is divided by 19?
17
Suppose -102*i + 13056 + 4013 = 647. Calculate the remainder when i is divided by 31.
6
Let c be -21 + -227 + (-5)/(-1). Let g = -91 - c. What is the remainder when g is divided by 39?
35
Suppose -502*r + 94500 = -124*r. Let w = 17 - 6. Calculate the remainder when r is divided by w.
8
Suppose -2*i + 1586 = 4*c, -4*i = 47*c - 51*c - 3220. Calculate the remainder when i is divided by 141.
96
Let c = -11426 - -13206. Calculate the remainder when c is divided by 54.
52
Suppose -145*t + 2952 = -67*t - 54*t. Calculate the remainder when 470 is divided by t.
101
Let q(s) = 28*s**3 - 2*s + 1. Let w be q(1). Let r = 1277 - 1281. Let o = r + w. What is the remainder when 62 is divided by o?
16
Let w = -3245 + 3300. Calculate the remainder when 603 is divided by w.
53
Let o = -29 + 77. Let c = o - 46. Suppose 5 = c*t - 7. Calculate the remainder when 82 is divided by t.
4
Let p = -7730 - -7888. What is the remainder when p is divided by 8*-9*(-3)/12?
14
Calculate the remainder when 1621 is divided by (-219 - -3)*((-75)/(-2))/(-5).
1
Let k be (2 + -7 - -5) + 2. Calculate the remainder when 104 is divided by (k - (-1 - 3)) + 48.
50
Let q(d) = -42*d + 1. What is the remainder when q(-7) is divided by 118 - 68 - (2/(-9) + 2/9)?
45
Suppose 0 = l - 4, 4*o + l - 1169 = 283. What is the remainder when 1313 is divided by o?
227
Let c(s) = 3*s**3 - 16*s**2 + 132*s + 120. What is the remainder when c(12) is divided by 10?
4
Suppose 0 = -6*z - 20 - 46. What is the remainder when (-39)/(-2) + 2/(-4) is divided by z - 979/(-88) - 158/(-16)?
9
Let j = 26213 - 22408. Calculate the remainder when j is divided by 141.
139
Let d(g) be the third derivative of g**4/2 - 99*g**3/2 + g**2 + 36*g. What is the remainder when 119 is divided by d(27)?
11
Let f be (1 + -3 - -6)*2/(-1). Let h be 2*4/f - -26. Suppose h*a - 28 = 23*a. What is the remainder when 52 is divided by a?
10
Suppose -n + 69 = -4*l - 11, 0 = -4*n - l + 388. What is the remainder when n is divided by 82?
14
Let k = 5067 - 4696. What is the remainder when k is divided by 15?
11
Let y = -288 - -141. Let h = 229 + y. Calculate the remainder when h is divided by 17.
14
Suppose 0 = -110*t + 115*t - y - 2004, -5*t + 3*y + 1992 = 0. What is the remainder when t is divided by 389?
13
Suppose 0*m - 1073 = -12*m + 463. What is the remainder when 460 is divided by m?
76
Let y = -73 + 215. Let d = y - 139. Suppose 5*v + 26 = g, -g + v = 4*g - 82. Calculate the remainder when g is divided by d.
1
Suppose -2*w + 1558 = -2*i, 0*w + w - 775 = -3*i. What is the remainder when w is divided by 136?
98
Let v = -214 - -219. Suppose 47 = 3*i - 2*i - 4*n, 4*i - 177 = v*n. Calculate the remainder when 257 is divided by i.
42
Calculate the remainder when 5811 is divided by 5 - (6 + 7 - 7) - (-3 - 36).
35
Suppose 0 = 3*h - 51 - 111. Suppose 152*r = 127744 - 29400. What is the remainder when r is divided by h?
53
Let y(h) = -387*h - 1255. What is the remainder when y(-6) is divided by 76?
3
Suppose 3*r + r - 3*p = 451, 5*r = -4*p + 587. Suppose -173*u - r = -178*u. Calculate the remainder when 100 is divided by u.
8
Let s(c) = 6*c + 1. Let o(m) = 4*m**2 + 81*m - 42. Let z be o(-21). What is the remainder when s(z) is divided by 22?
17
Let i(f) = -51*f - 4921. What is the remainder when i(-129) is divided by 331?
3
Let l be 1550/9 - 28/126. Suppose 0 = -4*s - b + 128, -21 = -s + 3*b - 2. What is the remainder when s is divided by l/20 + (-3 - 48/(-20))?
7
Suppose 80*f - 10*f - 139 - 351 = 0. What is the remainder when 7 is divided by f?
0
Calculate the remainder when 994 is divided by (-3)/(-24) + (-14)/8*(-39030)/140.
18
Let y(q) = 290*q - 32. Calc