t is the remainder when c is divided by s?
16
Let x(f) = 16*f - 3. Suppose -49*m + 906 = -319. What is the remainder when x(3) is divided by m?
20
Suppose -4 = -2*y + 70. Let d = -67460 - -67472. What is the remainder when y is divided by d?
1
Suppose 15 - 21 = -2*p. Suppose 0 = -5*n - 4*d + 48 - 11, -p*d + 24 = 3*n. Calculate the remainder when 33 is divided by n.
3
Suppose -5*l + 5*q = -31 - 19, 56 = 5*l - 2*q. Let j(d) = -d**2 + 388*d - 1902. Calculate the remainder when j(5) is divided by l.
1
Suppose -27*r = -18*r - 216. Suppose 0 = 4*q - q - 276. Calculate the remainder when q is divided by r.
20
Suppose -66*v = -60*v - 12. Suppose -4 = v*w, -2*h - w + 70 = 3*w. Let s(g) = g**3 - 3*g + 3. What is the remainder when h is divided by s(3)?
18
What is the remainder when 553 is divided by (-14504)/(-336) + 2/(-12) - -3?
1
Suppose -2*n + 168 = 2*t, 2*t + 355 = n + 256. What is the remainder when 9253 is divided by n?
86
Suppose 10*i + 42 = 8*i. Let c be 438*((-2)/(-9))/((-14)/i). Suppose d - 5*y = 6, c = -4*d + 9*d + 4*y. Calculate the remainder when 76 is divided by d.
24
Suppose i + 211 = 3*i - 5*w, 3*w = 2*i - 201. Calculate the remainder when i is divided by 17 - (25 + -24) - -1.
8
Let i(x) = x**2 + 22*x - 186. Let f be i(-29). Suppose 329 = -10*s + f*s. Let v = -274 + 412. What is the remainder when v is divided by s?
44
Let m(t) = t**3 - t. Let f be m(0). Let x(r) = -r**2 + 8*r + 1. Let n be x(4). Suppose -u + f*u + n = 0. Calculate the remainder when 33 is divided by u.
16
Suppose -5*w - 5*l = -410, -65 = -w + 3*l - 11. What is the remainder when 97 is divided by w?
22
Suppose 4*r = -2*x + 20, x - 22 = -6*r + r. Suppose 101 - 47 = x*h. Let q(f) = 3*f + 75. What is the remainder when h is divided by q(-20)?
12
Let l = -5169 - -5642. Calculate the remainder when l is divided by 68.
65
Calculate the remainder when 547 is divided by (-9 - -9)/(-7) - -111.
103
Let i = -4 - -1. Let p = 16 + i. Suppose 2*b + 165 = 237. Calculate the remainder when b is divided by p.
10
What is the remainder when 5725 is divided by (-117 - -121)/(((-1)/(-4))/1)?
13
Let u(a) = a**3 - 6*a**2 - 2*a + 82. Let l(w) = 46*w**3 - 8*w**2 + 7*w + 1. What is the remainder when u(0) is divided by l(1)?
36
Let u(v) = 9*v + 0*v + v**2 - 12*v - 29. Let n be u(-5). Suppose -6*z + 5*x = -n*z + 80, 3*z - 49 = -4*x. What is the remainder when 87 is divided by z?
12
Let r(i) = -2*i - 6. Let b be r(-5). Let m = b + -1. What is the remainder when m is divided by (-350)/28 + (-261)/(-18)?
1
Suppose -5*z + 27 - 277 = 0. What is the remainder when (z/(-10))/15 - 833/(-3) is divided by 70?
68
Let f be -10 + -4 + -1 + (-3 - -2). Calculate the remainder when 3 + 53 + 14 + f is divided by 23.
8
Suppose 81*j - 857 = -49*j + 2133. What is the remainder when j is divided by 2/8 - (-33)/12?
2
Suppose 63*v - 27360 = 27*v. What is the remainder when v is divided by 30?
10
Calculate the remainder when (((-144)/18)/8)/(1/(-691)) is divided by 11.
9
Let i = -101 + 104. Suppose 0 = 3*o - 12, i*y - 4*o = 8*y - 66. What is the remainder when 197 is divided by y?
7
Suppose 1356*l - 675*l - 696*l + 134385 = 0. Calculate the remainder when l is divided by 56.
55
Suppose 20 = 4*i, 79*b + i + 227 = 81*b. Calculate the remainder when b is divided by 1/(-2) + 63/2.
23
Let p = 107 - -40. Let q = 201 - p. What is the remainder when 145 is divided by q?
37
Let c(g) be the first derivative of 8*g**3/3 - 3*g**2 - 7*g - 6. What is the remainder when c(-2) is divided by ((-13)/(-4))/(6/24)?
11
Let l(x) = x**2 - 16*x + 30. Let a(w) = 9*w + 2. Let d be a(6). Let f = 76 - d. What is the remainder when l(f) is divided by 28?
26
Let d = -5461 + 5494. Suppose -69 = -3*j - 0*j + m, -j = 2*m - 23. Calculate the remainder when d is divided by j.
10
Calculate the remainder when (1/((-11)/66) - 1) + 2689 is divided by 48.
42
Suppose -223*n = -215*n - 216. Suppose 0 = g + 2*g - 3*m + 9, 0 = -2*m - 4. Let b = g + 13. Calculate the remainder when n is divided by b.
3
Suppose -128*q + 4*a - 564 = -130*q, 5*a = -q + 267. What is the remainder when q is divided by 101?
90
Let u = 335 + -303. Suppose 1280 = -u*f + 37*f. What is the remainder when f is divided by 37?
34
Suppose -399 = 83*x - 4466. Let w(g) = -61*g - 12. Calculate the remainder when w(-9) is divided by x.
47
Suppose 10845 - 27378 = -33*q. Calculate the remainder when q is divided by 71.
4
Suppose 7*i + 938 = 105. Let n = 146 + i. Calculate the remainder when 99 is divided by n.
18
Suppose -74*q + 75*q + 115 = l, -5*l + 2*q = -563. Calculate the remainder when 126 is divided by l.
15
Let g(w) = -44*w**2 + 7*w + 7. Let t be g(-4). Let v = t + 778. Calculate the remainder when 104 is divided by v.
51
Suppose 14*g + 12 = 11*g. Let y(a) = -6*a**3 + 9*a**2 + 9*a + 13. Calculate the remainder when y(g) is divided by 22.
21
Let p(a) = -5*a + 6. Let h be p(-15). Let m = h + -19. What is the remainder when 183 is divided by m?
59
Suppose 2*r + 6475 = 5*p, 2078 = 3*p - 5*r - 1788. What is the remainder when p is divided by 26?
23
Suppose 5*q - 74 = 51. Let g = -107 - -156. What is the remainder when g is divided by q?
24
Let i(d) = 35 - 34 + 41*d**2 + 77*d**2 - 55*d**2 + 5*d. Suppose -6*n = -n + 5*h + 20, 4*h = -n - 13. What is the remainder when i(n) is divided by 15?
14
Suppose 4*v + v - 4*b = 77, 2*v = -3*b + 40. Suppose -a + 5 = -0*a. What is the remainder when -1 + 31 - a*8/(-20) is divided by v?
15
Let p = 63 + -51. Suppose 12*z - 378 = -138. Calculate the remainder when z is divided by p.
8
Let d = -3690 + 4668. What is the remainder when d is divided by 109?
106
Let m = 3984 - 3895. Calculate the remainder when m is divided by 35.
19
Suppose -5*u + 4*n = -2408, 45*u - 44*u - 3*n - 475 = 0. Calculate the remainder when u is divided by 71.
58
Suppose 4*t = -3*h + 48, -2*h + 11 = 19. Suppose -8 = -5*a + a. Let y = 6 - a. What is the remainder when t is divided by y?
3
Let u(q) = q**3 + 4*q**2 - 4*q + 6. Let g be u(-7). Let w = -100 - g. Calculate the remainder when 88 is divided by w.
10
Suppose -11*t + 210 = -5*t. Calculate the remainder when t is divided by (21/35)/((-12)/15)*-16.
11
Let f be (-1580)/(-40) + 1/(-2). Suppose -17 = -8*z + f. Calculate the remainder when 40 is divided by z.
5
Let y(c) = 10*c**3 + c. Calculate the remainder when 658 is divided by y(1).
9
Let p = 58 - 27. Let m be 35 - (-2 + 0 - 1). Let r = m + -27. Calculate the remainder when p is divided by r.
9
Let c = -21 + 53. Let a = -28 + c. Suppose 46 - a = 3*m. What is the remainder when m is divided by 4?
2
Suppose 2*f = -4*l + 1766 - 4, 0 = 5*l + 4*f - 2204. Let q = -289 + l. What is the remainder when q is divided by 39?
34
What is the remainder when (-192)/(-2) + (-4)/(-6)*-12 is divided by 45?
43
Let p(b) = b**3 + 16*b**2 - 4*b - 270. Calculate the remainder when 1234 is divided by p(-14).
166
Suppose -2*g + 5*z + 16 = 0, 2*z - 18 = -22. What is the remainder when 147 is divided by g?
0
Let l(k) = k + 4. Let j(f) = -f. Let m(p) = -j(p) + l(p). Calculate the remainder when 58 is divided by m(4).
10
Let x(i) = 2*i**2 - 2*i - 2. Let l be x(2). Suppose 0 = -p + l*p - 71. Calculate the remainder when p is divided by -3*(-7 - (-9)/9).
17
Suppose -6*f + 140 = -106. Let o(u) = u**3 + 9*u**2 + 7*u + 6. Suppose 0 = g + 4 + 4. What is the remainder when f is divided by o(g)?
13
Let r = -61 - -3. Let y = -26 - r. Suppose 2*f = -4*d + 68, -3*d + y = -d + 2*f. Calculate the remainder when 49 is divided by d.
13
Suppose 0 = 4*h - 5*h + 4. Suppose 4*j - 8*j + h*l = -136, 0 = 5*j + 5*l - 170. What is the remainder when 303 is divided by j?
31
Suppose 5*g + 3*n - 1015 = 0, -4*g + 317 = n - 488. Suppose -8*i + g + 16 = 0. Calculate the remainder when 48 is divided by i.
21
Let j(k) = 7*k**3 - 2*k**2 - k + 1. Let m be j(-1). Let a(v) = v**3 + 7*v**2 - 9*v + 4. What is the remainder when a(m) is divided by 31?
5
Suppose -49*s + 53 = -94. Suppose 195 = s*o - 1017. Calculate the remainder when o is divided by 51.
47
Let n(u) = -u**3 - 5*u**2 + u + 8. Let a be n(-5). Suppose 0 = -4*x, -2*z + 32 = -0*z + a*x. What is the remainder when -2*136/z*2*-1 is divided by 7?
6
Suppose 35*x - x - 170 = 0. Suppose -x*t - 9*o + 10*o + 92 = 0, 4*o + 8 = 0. Calculate the remainder when 22 is divided by t.
4
Let a(o) = 9*o - 348.