z - 2 = 0. Let t = 155 - 133. Calculate the remainder when t is divided by m.
4
Suppose -29*h - 5*m = -33*h + 239, 0 = -h + 5*m + 56. What is the remainder when 1397 is divided by h?
55
Let l = -513 - -533. Calculate the remainder when 91 is divided by ((-252)/210)/((-3)/l).
3
Let j = -12791 - -12970. What is the remainder when j is divided by 77?
25
Suppose -36*o + 1475 = 23*o. Let l(f) = f - 5. Let v be l(7). Suppose v*m - 9 = m. Calculate the remainder when o is divided by m.
7
Let h = -70 + 70. Suppose 5*s = 4*d - 12, h*d = 5*s + 4*d - 12. Calculate the remainder when 217 + s/3 + -2 is divided by 36.
35
Let j = -62 + 145. Let w(r) = -r**2 + 20*r - 42. Let g be w(18). Let d(l) = -l**2 - 12*l - 13. Calculate the remainder when j is divided by d(g).
14
Suppose -11*b = -7*b - 16. Let m = 108 + b. Suppose v + v - m = 0. What is the remainder when v is divided by 22?
12
Let s be ((1 - 2) + 0)/((-52)/(-676)). Let y(i) be the third derivative of -i**4/4 - 5*i**3/2 - 2*i**2. Calculate the remainder when y(s) is divided by 16.
15
Suppose 0 = 6*x + 9 - 123. Let s(n) = -19*n**2 + n**3 - 26 - n**3 + n**3 + 0*n**3 + 3*n. What is the remainder when s(x) is divided by 18?
13
Let b(l) = -67*l**3 - 3*l**2 + 2*l - 1. Let t be b(-2). Suppose t = 9*d + 123. What is the remainder when d is divided by 13?
5
Let q(h) = -h**3 + 2*h - 2. Let k be (-12 - -6) + -9 + 20. Suppose 3*j + 0*j = -3*p + 36, k*p + j = 64. What is the remainder when q(-3) is divided by p?
6
Suppose -5*u - c = -267, -2*u - 3*c = -128 + 42. Let x(z) = 2*z**2 - 2*z - 5. Calculate the remainder when u is divided by x(-4).
20
Let j(p) = p**2 + 10. Suppose 120*y - 1886 = 118*y. Suppose y*f = 931*f + 24. Calculate the remainder when j(0) is divided by f.
0
Let v(t) = 7*t + 74. Let d be v(-10). Suppose -3*w - f = -110, -40 = -d*w - f + 107. What is the remainder when 69 is divided by w?
32
Let j be 0/(-3)*7/(-14). Let t be (-5)/(2 + j + -3). Suppose q - 21 - 10 = t*g, -4*q = -3*g - 175. What is the remainder when q is divided by 19?
8
Suppose -24*o - 276 = -12. What is the remainder when o/(-99) - (-142)/18 is divided by 5?
3
Let z = -37 + 40. Suppose -z*q - 547 = -5*m, 3*m - 309 = -0*m - 3*q. What is the remainder when m is divided by 27?
26
Let d = 132 + -89. What is the remainder when d is divided by 52/(-16) - -3 - 780/(-48)?
11
Suppose -2*i + 7*j - 4*j = -55, 26 = i - j. Let u = 4 - -1. Suppose 5*c + 50 = u*m, 4*m - 10 - i = -3*c. What is the remainder when 34 is divided by m?
7
Let b = 220 - 198. What is the remainder when 215 is divided by b?
17
Let b = -51141 + 51154. Suppose -7 = -3*x + 5*u, 3*x + 2*u + 0*u + 28 = 0. Calculate the remainder when (22/x)/((-1)/24) is divided by b.
10
Let c = -89 - -91. Suppose 8*p - 240 = c*p. Suppose p = 3*y - o, 4*y = 5*o + 16 + 19. Calculate the remainder when 43 is divided by y.
13
Let o = -644 - -651. What is the remainder when 87 is divided by o?
3
Calculate the remainder when 4 + (45/(-27))/(2*(-3)/306) is divided by 33.
23
Suppose -14*k = -18*k + 3*y + 532, -146 = -k + 4*y. Let f(h) = h**3 + 7*h**2 - h - 3. Calculate the remainder when k is divided by f(-6).
13
Suppose -3*t = -2*b - 4*t, b = 2*t. Suppose -f = -b*f + 2*p - 24, -2*p + 90 = 4*f. What is the remainder when 86 is divided by f?
20
Let m = -951 - -1146. What is the remainder when m is divided by 47?
7
Let q = 303 - 131. What is the remainder when 293 is divided by q?
121
Suppose h + 3 = 0, 2*b - h = -9 + 24. What is the remainder when 132 is divided by b + 42 + -2 + 7?
26
What is the remainder when -1*(-6 + 7) - -6214 is divided by 8?
5
Let j(v) be the third derivative of v**4/6 - 7*v**3/3 - 9*v**2. Let x be (-27 - -24) + -1 + 13. Calculate the remainder when 41 is divided by j(x).
19
Let n(o) = -o**3 + 7*o**2 + 24*o - 3. Suppose -5*k - 4*b + 87 = 0, 4*k - 2*b - 28 = 52. What is the remainder when n(9) is divided by k?
13
Let d = 107 - 107. Suppose 0*v = 5*v - 5, 4*i + 4*v - 460 = d. Calculate the remainder when i is divided by 58.
56
Let m = -37736 - -39299. What is the remainder when m is divided by 223?
2
What is the remainder when 2262 + 1 - ((23 - -6) + -23) is divided by 17?
13
Suppose -2 + 17 = 3*b, 72 = 3*p + 3*b. Let x = 115 - 41. What is the remainder when x is divided by p?
17
Let m(f) = f**2 + 6*f. Calculate the remainder when 160 is divided by m(1).
6
Let v = 176 - 172. Suppose 5 = 5*r, 0*a = -2*a + v*r + 326. What is the remainder when a is divided by 24?
21
Calculate the remainder when 1022 is divided by ((246/12)/1)/(-2*(-9)/180).
202
Suppose 10*j = 39*j - 17690. Calculate the remainder when j is divided by 62.
52
Let v = 217 - 113. Let n(t) = -2*t**3 + 48*t**2 - 264*t - 18. What is the remainder when v is divided by n(9)?
32
Suppose -28*s + 48518 = -22134 - 24492. Calculate the remainder when s is divided by 25.
23
Suppose 24*o = -50*o + 24*o + 11800. What is the remainder when o is divided by 57?
8
Suppose 0 = 3*l - h - 89, 5*l + 42 = 7*l - 5*h. Let g(q) = 12*q - 172. What is the remainder when l is divided by g(15)?
7
What is the remainder when 28/(-4)*(24678/(-108))/(2/4) is divided by 187?
20
Let o = -224 + 320. Calculate the remainder when o is divided by 4/(-18) - 292444/(-5823).
46
Let p(b) = b**3 + 17*b**2 - 18*b + 6. Let u be p(-18). Calculate the remainder when 69 is divided by (-7)/168*4 + 115/u.
12
Suppose 4*b - 82 - 62 = 0. Let n = 314 + -298. Calculate the remainder when b is divided by n.
4
Let v = 11208 - 10974. What is the remainder when 436 is divided by v?
202
Let x(v) = v - 3. Let m(n) = 5*n**2 + 4*n - 46. Calculate the remainder when m(6) is divided by x(11).
6
Let g = 1463 - 1024. Let z = -208 + g. Suppose -z + 31 = -5*q. What is the remainder when 158 is divided by q?
38
Suppose 26 = -t + 86. What is the remainder when t/(-42)*(-140)/2 is divided by 15?
10
Let b = 34 + -34. Suppose u - 5*g - 135 = b, 3*u - g = 4*g + 445. Suppose -6 = -f + u. What is the remainder when f is divided by 41?
38
Calculate the remainder when 160 - 10/(28/21 - 4/(-6)) is divided by 63.
29
Suppose -27*g - 4*p = -21*g - 31680, -4*g + 2*p + 21092 = 0. What is the remainder when g is divided by 16?
12
Let w(h) = -109*h + 1221. Calculate the remainder when 3034 is divided by w(11).
20
Let n(x) = 50*x - 2. Let c be n(4). Calculate the remainder when ((-24)/9)/((-398)/c + 2) is divided by 19.
17
What is the remainder when 342 is divided by 9/18 + 5949/18?
11
Let u(p) = p**2 + 11*p - 4. Let r be u(0). Calculate the remainder when ((-33)/r)/((-32)/(-512)) is divided by 9.
6
Let p(a) = a + 23 - 6 - 1 - 10. Let d be p(-8). What is the remainder when 15 is divided by ((-3)/(-5))/(d/(-20))?
3
Let u = -35 + 62. Let q(y) = -3*y + 86. What is the remainder when q(u) is divided by 1?
0
Let b(y) = -y**2 + 38*y - 72. Let n be b(35). Suppose -8*u = -121 + n. Calculate the remainder when u is divided by 3.
2
Let m be (5 + (-161)/21)*3/(-4). Let w be (-3)/(-2)*m + 109. Calculate the remainder when (-4 + 1)*w/(-4) is divided by 43.
41
Let l = -19681 + 19708. Suppose -2*v - 104 = -5*p + 2*v, 3*v = -p + 17. Calculate the remainder when l is divided by p.
7
Let t(u) = 10 - 2*u**2 - 2*u**3 + 2*u**2 - u - 11 - 7*u**2. Let b be t(-6). Suppose b*k + 230 = 190*k. Calculate the remainder when 181 is divided by k.
43
Suppose 258*f - 255*f = 5*z + 2662, 0 = -2*f - 3*z + 1800. Calculate the remainder when f is divided by 29.
24
Let m = 50 + -41. Suppose 3*w = -m*w - 504. What is the remainder when ((-266)/w)/(2/60) is divided by 48?
46
Suppose 17*m - 9*m - 208 = 0. What is the remainder when 32 is divided by m/13 + (-2 - -32) - 4?
4
Suppose 672 = 28224*g - 28203*g. Calculate the remainder when 205 is divided by g.
13
Let l be (-16)/9 + 2 - (-70426)/(-207). Calculate the remainder when (2 + 4)/((-30)/l) is divided by 54.
14
Let m(u) = -12*u - 11. Let q(c) = -11*c - 12. Let j be ((4 - 2)/(-4))/((-1)/4). Let r(s) = j*q(s) - 3*m(s). What is the remainder when r(7) is divided by 28?
23
Let m(c) = 26*c**3 + 6*c**2 - 19*c + 38. Calculate the remainder when 450 is divided by m(2).
218
Let j(m) = 2*m + 11 + 7*m + 42*m**2 - 34*m**2. Calculate the remainder when j(-6) is divided by 13.
11
Let b = -60473 + 60668. Let v = -49 + 82. What is the remainder when b is divided by v?
30
Let j(y) = 16*y**3 + 2*y**2 - 20*y + 9.