-280 = -t*c + 25*c. Calculate the remainder when c is divided by 23.
17
Let o be (2/2 - -60) + -16 + 10. Suppose -2*a + 17 + o = 0. Calculate the remainder when 91 is divided by a.
19
Suppose 3*j = 9, -i + 408 = -73*j + 71*j. What is the remainder when 3735 is divided by i?
9
Let s = 343 + -178. Suppose -2*g - 7*f + 80 = 0, 44 = -2*g + 4*f + 36. What is the remainder when s is divided by g?
9
Let k(c) be the second derivative of c**4/12 + 8*c**2 + 11*c. Suppose f - 5 - 23 = 0. Calculate the remainder when f is divided by k(0).
12
Suppose 2*p = -2*p - 540. Let b = -84 - p. Let z = -34 + b. What is the remainder when z is divided by 9?
8
Suppose 111 = -55*f + 716. What is the remainder when 416 is divided by f?
9
Suppose -i + 3*w - 194 = 0, -4*i - w - 161 = 550. Let x = 7 - i. What is the remainder when x is divided by 38?
34
Let q be 0/(1 + 1) - (-5 - -3). Suppose 0 = -d + n - 1, -4 = -q*d - 3*n - 21. Calculate the remainder when 47 is divided by 3 + 17 + d - 4.
11
Let n = -5 - -21. Suppose 5*p = 4*p + n. What is the remainder when p is divided by (-2 - -3 - -2)/(-1) + 9?
4
Suppose -2 = r - 3*w, -12 = -2*r - w - w. Suppose -2*b - h = -118, 2*b - r*b - 3*h + 126 = 0. What is the remainder when b is divided by 30?
27
Suppose -5*g + 88 = -t, 3*t = -3*g + 7*g - 77. Suppose 4*k - g = 23. Let y(a) = 9*a**2 + 2*a. What is the remainder when y(3) is divided by k?
7
Suppose 16*i - 19*i - 1083 = -3*p, -2*i = 5*p - 1819. What is the remainder when p is divided by 31?
22
Let c = 809 + -229. Calculate the remainder when c is divided by 31.
22
Calculate the remainder when (112/(-56))/((-3)/4287) is divided by 27.
23
Let i(y) = y**2 - y - 16. Let h(l) = -2*l**3 - l**2 - 2*l + 1. Let n(a) = -h(a) + i(a). What is the remainder when n(6) is divided by 62?
59
Suppose 0 = 2*z - 179224 + 179198. Suppose 3*q - 1 = 4*v, 4*q + q - 25 = -5*v. Calculate the remainder when z is divided by q.
1
Suppose -4*r - 2*g + 2355 = -8365, 5*g = -3*r + 8026. What is the remainder when r is divided by 1?
0
Suppose 18*h - 11735 = -2*y + 13*h, 5815 = y - 5*h. What is the remainder when y is divided by 209?
207
Let f = 8107 + -7909. What is the remainder when f is divided by 174?
24
Suppose 782 - 287 = 5*f. Let i = f + -82. What is the remainder when 82 is divided by i?
14
Let k = -9104 + 9196. Calculate the remainder when k is divided by 8.
4
Let l(k) = -k**3 - k**2 - k. Let h = 838 - 531. Suppose -2*g = -0*g - u - h, 5*g - 763 = 4*u. What is the remainder when g is divided by l(-4)?
51
Suppose -2*n + 14 = -0. Suppose n*w = -4 + 144. Calculate the remainder when 30 is divided by ((-30)/w)/(3/(-6)).
0
Suppose -108*i = -0*i - 15444. What is the remainder when i is divided by 34?
7
Suppose -5*p = -5*s + 420, -302*s - 78 = -303*s - p. Let r be 62/(-2) + (2 - 4). Let k = r + s. Calculate the remainder when k is divided by 7.
6
Let t = -414 - -540. Calculate the remainder when 258 is divided by t.
6
Let z(y) = -y**3 + 16*y**2 + 27*y - 371. What is the remainder when 475 is divided by z(16)?
48
Let j be (-1 + -27)*((-79)/7 + 11). Suppose 315 + 101 = j*n. What is the remainder when 310 is divided by n?
50
Let c = 838 + -831. Suppose 44*d - c = 43*d. Let g(t) = -t**3 - 4*t**2 + 4*t - 1. What is the remainder when d is divided by g(-5)?
3
Let x(v) = 3*v**3 - 29*v**2 + 3*v + 11. Calculate the remainder when x(10) is divided by -7 - (-6)/2 - -13.
6
Let b be (2/4)/((15 - 3)/(-432)). Let z(h) = -h**3 - 18*h**2 - 5*h - 59. Calculate the remainder when z(b) is divided by (8 - (-1 - 0)) + 0.
4
Suppose 0 = 9*m - 534 - 1428. What is the remainder when m is divided by 50?
18
Suppose 26502*b - 1584 = 26484*b. Calculate the remainder when 946 is divided by b.
66
Let n(j) = 8*j + 71. Suppose 5*h + 5*d - 45 = 0, 3*d = 5*h - 8 - 5. What is the remainder when n(h) is divided by 14?
13
Suppose 89 = 5*l + p, -6*l + 4*p - 86 = -11*l. Calculate the remainder when 27 is divided by l.
9
Let w(m) = -161*m - 2729. What is the remainder when w(-19) is divided by 20?
10
What is the remainder when 661 is divided by 36 + 19 + (-2 - 2)?
49
What is the remainder when 406 is divided by 69/4*(-51 + 55)?
61
Calculate the remainder when 65 is divided by (16 + 5)*5/((-105)/(-6)).
5
Let n(b) = b**3 - 16*b**2 + 30*b + 28. Suppose -4*o = 7*s - 9*s - 58, -9 = -o - 5*s. Calculate the remainder when 167 is divided by n(o).
55
What is the remainder when (-2 - 0)/(25/100) + 2382 is divided by 1185?
4
Let b(d) be the second derivative of -d**5/20 - d**4/3 - d**3/2 - 3*d**2/2 + 95*d - 2. What is the remainder when 17 is divided by b(-4)?
8
Calculate the remainder when (-3)/(-6) + 11970/76 is divided by 12.
2
Let m(c) = 51*c**3 - 6*c**2 + 5*c - 3. Let k be m(2). Let y = k - 367. What is the remainder when y is divided by 7?
3
Let d = 2220 + -1911. Calculate the remainder when d is divided by 306.
3
Let p = 195 + -383. Let o = -157 - p. What is the remainder when o is divided by 21?
10
Suppose -3*n - 1 + 16 = -3*t, -4*t - 4 = 0. Suppose -n*p + 44 = x, 5*x = 3*p - 0*p - 33. Calculate the remainder when 2 - (-5)/((-5)/(-16)) is divided by p.
7
Suppose -2*s = 2*k - 4, 0*k + 3*k = -4*s + 8. Suppose -5*z - 407 = -3*y, s*z - 400 = 2*y - 5*y. What is the remainder when y is divided by 27?
26
Suppose -7*z - 7701 = 10*z. Let v = z - -506. What is the remainder when 105 is divided by v?
52
Let l(p) = -p**3 - 12*p**2 - 11*p - 2. Let g be l(-11). What is the remainder when 83 is divided by g/5 + (-4260)/(-150)?
27
Let j(t) = -t**2 - 7*t - 10. Let w be j(-4). Suppose -136 = -2*y - w*y. Let a = 39 - y. Calculate the remainder when 6 is divided by a.
1
Calculate the remainder when 1943 is divided by 3/2*(424 + -306).
173
Let l = 2616 + -2529. What is the remainder when 620 is divided by l?
11
Let f be (-2)/(-12) + 2222/(-12). Let v = 230 + f. Calculate the remainder when 87 is divided by v.
42
Suppose 0 = 3*v - 4*v + 31. Suppose -5*u - 1484 + 116 = -23*u. What is the remainder when u is divided by v?
14
Let q(z) = -421*z**2 - z. Let b be (-2)/(-4 + 24/4). Let s be q(b). What is the remainder when 19 is divided by s/(-98) + (-4)/14?
3
Calculate the remainder when 275 is divided by (390/(-650))/(3/(-590)).
39
Let f = 413 + -380. Suppose 0 = -f*d + 510 + 612. What is the remainder when 111 is divided by d?
9
Let y(v) = 3*v**2 - 8*v - 15. Let p be y(-4). Let n(d) = 63*d + p*d - 37 + 54*d - 153*d - d**2. Calculate the remainder when n(20) is divided by 29.
27
Suppose d + 5*w = 117, -w + 414 = 4*d + w. What is the remainder when d is divided by 31?
9
Suppose 0 = -4*p - 7*a + 12*a - 2406, -5*a = -10. Let m = -559 - p. Calculate the remainder when 14*(17/2 + 0) is divided by m.
39
Suppose -3*j + 54 = -j. Suppose 0 = -i + 3, -4*y + 19 - 58 = 3*i. What is the remainder when j is divided by (y + 40)*((-21)/12)/(-7)?
6
Let a be 27/2 + (-9)/(-18). Let b be a/(-63)*18/(-8)*6. Let f(r) = r**2 - 5*r + 7. Calculate the remainder when f(b) is divided by 1.
0
What is the remainder when 2086 is divided by (368/(-40) - -2)/(165/(-50) - -3)?
22
Suppose -4*t - 2*d - 2*d + 512 = 0, 0 = -4*d + 4. Suppose -132*o + t*o + 640 = 0. Calculate the remainder when o is divided by 10.
8
Suppose -2*i = 6, -5*p = 49*i - 45*i - 173. Calculate the remainder when 6879 is divided by p.
34
Let x be 107 + 6/(-12)*6. Let h = -57 + x. Calculate the remainder when h is divided by 9/(-2)*56/(-42).
5
What is the remainder when (-158197)/(-117) + 10/(-90) is divided by 32?
8
Let y(p) = -15*p + 17. Let c be y(-7). Suppose -7 + c = 5*v. Calculate the remainder when v is divided by 14.
9
Let z(y) = -2*y + 1. Suppose -4*s = 3*q + 30, q - 3*s - 2 = 1. What is the remainder when ((-4312)/(-220))/(4/10) is divided by z(q)?
10
Suppose 0 = 3*s - 2*h - 17, 0*h - 28 = -5*s + 3*h. Suppose -s*m - 128 = -9*m. Suppose 22 = 2*z - m. Calculate the remainder when 52 is divided by z.
25
Suppose 0 = -26*g + 18*g + 16. Suppose -2*o - 3*n - g = -66, 0 = 4*o - n - 156. Calculate the remainder when 105 is divided by o.
29
Let i = -67 - -159. Let f = -110 + i. Let h = f + 19. What is the remainder when 1 is divided by h?
0
Let p be 18/30*(-50)/(-6). Suppose 0 = x, -x - 455 = -5*j - p*x. What is the remainder when j is divided by 20?
11
Suppose 44*y - 42*y - 282 = 0. Suppose -2*j - 109 + y = 0. Calculate the remainder when 