x - 4*o + 17 + 563, -4*o = -24. What is the remainder when x is divided by 83?
58
Suppose 848 = -859*j + 877*j - 286. Calculate the remainder when 1825 is divided by j.
61
What is the remainder when (-844)/(-14) - (-2)/(-7) is divided by (39/12)/((-310)/(-1240))?
8
Suppose 76*s - 73*s + 4*b = 2172, -4*s = -2*b - 2852. What is the remainder when s is divided by 146?
132
Let j(u) = -6*u - 9*u + 3 + 1 + 10*u. Let z be j(0). Suppose 4*t - z*n - 56 = -5*n, 4*t + 4*n - 56 = 0. What is the remainder when t is divided by 9?
5
Suppose 31902 = 483*f - 73920 - 52602. What is the remainder when f is divided by 42?
34
Let d(a) be the second derivative of 23*a**3/6 + 31*a**2/2 - 2*a - 4. What is the remainder when d(11) is divided by 58?
52
Let n = -10908 + 10940. What is the remainder when 2494 is divided by n?
30
Let z be ((-52)/(-12))/(3/(-99)). Let b = 188 + z. Calculate the remainder when b is divided by 12.
9
Suppose -a + 926 = 3*b, 20*b - 23*b = 15. What is the remainder when a is divided by 296?
53
What is the remainder when 95 is divided by 33 - ((4 - 15) + 12)?
31
Let v(s) = 280*s - 3637. What is the remainder when 69 is divided by v(13)?
0
Let k(q) = -42*q + 595. Calculate the remainder when 169 is divided by k(14).
1
Let c = -5830 - -6944. What is the remainder when c is divided by 221?
9
Suppose 91 = 4*o - 505. Let z be ((-20)/(-30))/((-2)/(-57)). Suppose 0 = -p + t + z + 9, p + 5*t - 40 = 0. What is the remainder when o is divided by p?
29
Let k = -57 + 61. Let d be 8/8 + 19*k. Suppose -5*z + 8 = -d. Calculate the remainder when z is divided by 7.
3
Let l(w) = -w**3 - w**2 + 15*w + 32. What is the remainder when 155 is divided by l(-3)?
0
Let h = 9946 + -7356. What is the remainder when h is divided by 234?
16
Let x = 453 + -451. Suppose 2*v - 97 = 19. Calculate the remainder when v is divided by (1 - x/4) + 779/38.
16
Let c = 18 + -16. Let f(g) = -4*g**2 - 8*g**c - g**3 - 7*g**2 - 19 - 22*g. Calculate the remainder when f(-18) is divided by 11.
9
Let f(a) = -2*a - 3. Let p be f(4). Let r = -8 - p. Suppose -4*m - 206 + 166 = 0, 3*d = -4*m - 1. What is the remainder when d is divided by r?
1
Let q be 18/42 + 213/(-7). What is the remainder when 92 is divided by (q/8)/(3/32*-2)?
12
Suppose -36 = -4*n + 8*n. Let m = 16 + n. Calculate the remainder when 33 - 3*(-14)/(-7) is divided by m.
6
Let g(f) = 3*f**2. Suppose -5*b - 5 = -0. Let n be (-14)/(-2) + b + -3 + 2. Calculate the remainder when g(n) is divided by 13.
10
Suppose -s + l = -4 - 5, 3*s - 35 = l. Calculate the remainder when (-7956)/(-1105)*(6/1 - 1) + 13 is divided by s.
10
What is the remainder when (-16*2)/((-4136)/(-414) + (40 - 50)) is divided by 3311?
1
Let f = 148 + -96. Let x = -50 + f. Suppose m - 7 = x. What is the remainder when 24 is divided by m?
6
Suppose 4*h = 0, h + 12 = 4*z - 4*h. Suppose w + 3*f = 47, 96 = 4*w - z*f - 17. Calculate the remainder when 254 is divided by w.
30
Let j be (13/(-52))/((-2)/16). Suppose j*o - 49 = 3. Calculate the remainder when 101 is divided by o.
23
Suppose 2*q - w = 3266, -309*q = -314*q + 2*w + 8168. Calculate the remainder when q is divided by 398.
44
Let k = 226 - 144. Suppose 2527*n - 714 = 2493*n. What is the remainder when k is divided by n?
19
Suppose 444 + 72 = 4*w - 4*z, -4*w = 4*z - 564. Calculate the remainder when 436 is divided by w.
31
Suppose -17*c + 2560 + 2800 = -63. What is the remainder when c is divided by 311?
8
Let l be 373/2 - 0 - (-49)/98. What is the remainder when (3 - 56)*2/(-2) is divided by (l/(-34))/((-1)/2)?
9
Suppose 0 = -5*h + 5*q + 7580, -1284*q + 1286*q - 14 = 0. Calculate the remainder when h is divided by 96.
83
Let d(r) = r + 7. Suppose 0 = 40*x - 36*x - 12. Suppose -5*l = -x*c - 40, 0*l + 5*l = -4*c + 40. What is the remainder when l is divided by d(-4)?
2
Let y = 473 - 473. Calculate the remainder when 88 is divided by (y - -6) + 30 + -3.
22
Suppose 2*u + 2 - 26 = 0. Suppose u = -2*f + 54. What is the remainder when 57 is divided by f?
15
Let i(y) = -y**3 + 4*y**2 + 2*y - 6. Let p be i(4). Suppose -p*j + 48*j - 1196 = 0. Calculate the remainder when (6 - 2)/2 + 151 is divided by j.
23
Let u = -892 + 1011. Suppose 26 = -2*k + 100. What is the remainder when u is divided by k?
8
Suppose 0 = -29*p + 34*p - k - 2946, 5*k = -3*p + 1734. Calculate the remainder when 2949 is divided by p.
9
Let z(r) = r**2 - 10*r + 13. Let b be z(11). Let c be (b/(-20))/((-4)/(-20)). Let y = -1 - c. Calculate the remainder when 27 is divided by y.
2
Let n(f) = 5*f**2 + 10*f + 141. Let v(q) = -11*q**2 - 18*q - 282. Let s(m) = 9*n(m) + 4*v(m). Calculate the remainder when s(-14) is divided by 6.
1
Let j = -639 + 702. What is the remainder when 96 is divided by j?
33
Let y be 5/10*-2*-63. Suppose 57 = 4*p - 2*s - y, -4*s + 163 = 5*p. Let m = 4 + p. What is the remainder when m is divided by 19?
16
Let r(u) = u**2 + 2*u**2 - 13 + 14*u + 8*u**2 - u**3. What is the remainder when 39 is divided by r(12)?
6
Suppose -22 = 9*o - 202. Suppose -3*h - 39 = -4*b - 161, 5*b - o = 0. Calculate the remainder when 137 is divided by h.
45
Suppose -26 - 10 = -2*p + 3*v, -5 = -5*p - v. Calculate the remainder when 0 + (-1 - (-6 + -1)) is divided by p.
0
Let k(u) = 41*u + 22. Let g be k(3). Let y = g + -56. Let l(p) = -p**3 + 7*p**2 - 6*p + 6. What is the remainder when y is divided by l(4)?
29
Let f(x) be the third derivative of 7*x**4/24 + 93*x**2. Let y = -4 - -5. What is the remainder when 21 is divided by f(y)?
0
Let h(a) = 157*a**3 + 2*a - 1. Let y be h(1). Suppose 4*r + 2*t = 7*t + y, r - 29 = -4*t. Calculate the remainder when 110 is divided by r.
36
What is the remainder when (-11 - 1057*(-20)/30)*9 is divided by 18?
15
Let v(w) = -4*w**3 - w**2. Suppose 5*t + 5*i - 25 + 5 = 0, -2*i = -t - 11. Suppose 25583*q = 27817*q - 24574. Calculate the remainder when q is divided by v(t).
2
Let c = -215 + 303. Let r(u) = -59*u - 513. What is the remainder when 2 - (-1)/(2/c) is divided by r(-9)?
10
Suppose -5*s + 10 = -10, -5*o + 4*s + 14 = 0. Suppose 13*a - 16*a + u + 21 = 0, u = -3*a + 21. Calculate the remainder when a is divided by o.
1
Let v(c) = 18*c + 33. Let n(k) = 6*k + 11. Let q(m) = 11*n(m) - 4*v(m). Let z be q(-6). Suppose -z = -x + 55. What is the remainder when x is divided by 14?
10
Let z = 5037 + -5016. Let b(i) = i**2 + 6*i - 10. Suppose -p = 3 + 9. What is the remainder when b(p) is divided by z?
20
Let b(n) = -9*n**2 - 364*n + 97. What is the remainder when b(-40) is divided by 52?
49
Let b = 3115 + -3101. Calculate the remainder when 3203 is divided by b.
11
Suppose w + w = 4*l + 176, 2*w = 5*l + 181. Suppose 4*o - w = -2*x + 2*o, o - 159 = -4*x. What is the remainder when 277 is divided by x?
37
What is the remainder when (-6)/18 + (157/3 - -4) is divided by 4 + (1 - -3 - 3)?
1
Let q(n) = 83*n**3 - 2*n**2 + 6*n - 3. Let l be q(1). What is the remainder when (19/(95/l))/(6/30) is divided by 45?
39
Let o be 460/(-14) - (-21)/(-147). Let r(i) = -i - 23. What is the remainder when r(o) is divided by 3?
1
Suppose 3414 = 7*j + 341. Suppose -3*w - j + 487 = 0. Suppose 2*p = p + 77. What is the remainder when p is divided by w?
13
Calculate the remainder when 1261 is divided by (-2 - 64/(-6))/(-25*35/(-5250)).
13
Let z(u) = -7*u**3 - 15*u**2 - 102. Let a(p) = -11*p**3 - 22*p**2 - p - 152. Let v(c) = -5*a(c) + 8*z(c). Calculate the remainder when v(-12) is divided by 22.
18
Suppose 17*y - 2 - 1511 = 0. What is the remainder when 797 is divided by y?
85
Suppose -4*r = -w + 435, -r - 5 + 10 = 0. What is the remainder when w is divided by 86?
25
Let k be (-24)/(-18)*5/((-50)/(-15)). Suppose 8*o = 10*o - 2*t - 324, 3*t = k*o - 319. Calculate the remainder when o is divided by 34.
31
Let t be (-4)/(-6)*45*1748/10. Suppose -27*u + 318 = -t. What is the remainder when u is divided by 23?
22
Suppose 3*r + 11*h - 12*h - 1438 = 0, 5*r - 2392 = -3*h. Suppose 0 = 15*i - r - 271. What is the remainder when i is divided by 9?
5
Suppose 0 = -a + 2*y + 183, 12*a = 11*a + 3*y + 188. Let h = 355 - a. Calculate the remainder when h is divided by 5.
2
Let s(k) = -2*k**2 - 7*k - 88. Let v be s(-8). Let t = v - -171. Suppose -3*j = b + 3*b - 106, -3*j + 94 = b. What is the remainder when j is divided by t?
8
Let f(s) = 7*s**2 + 30*s - 7. Let v(t) = 3*t*