 remainder when i/(-15) - (-4)/10 is divided by 16.
4
Let t(u) = 7*u + 77. Let b = -99 - -104. What is the remainder when t(b) is divided by 13?
8
Let z(s) be the second derivative of 0 - 12*s + 23*s**2 + 2/3*s**3. Calculate the remainder when z(0) is divided by 12.
10
Suppose 3*q - 1346 = -m, -19*m + 8 = -21*m. What is the remainder when q is divided by 243?
207
What is the remainder when 471 is divided by ((-18 + 1)*-2)/((-76)/57 + 2)?
12
Suppose -5*w = 20, -4*i - w + 785 + 1367 = 0. What is the remainder when i is divided by 275?
264
Suppose 0 = 4*w + 32 - 136. Let s(v) = -v**2 - 6*v + 7. Calculate the remainder when w is divided by s(-4).
11
Let p = 1497 + -1356. Calculate the remainder when p is divided by 77.
64
Let v(x) = x**3 - 16*x**2 - 61*x + 123. What is the remainder when v(19) is divided by 16?
15
Let p be 24/((-8)/(48/(-9))). Suppose -p = -k + 17. Suppose 2*q = 5*g - 0*g - 41, 49 = 5*g + 2*q. Calculate the remainder when k is divided by g.
6
Let j = -51349 - -51391. Suppose 2*a + 2*s = 34, 2*s - 5*s = 0. Calculate the remainder when j is divided by a.
8
Suppose 0 = 3*q + q - 24. Let u be -11*(-2 + (-2 - (-6)/2)). Suppose 0 = 9*f - u*f + 18. Calculate the remainder when f is divided by q.
3
Suppose 0*s - 96 = -12*s. Suppose -6*m = -20 + s. Suppose 5*u = -m*u + 42. What is the remainder when 28 is divided by u?
4
Let y = -13806 + 14136. Calculate the remainder when y is divided by 57.
45
Let c(a) = -2*a - 5. Let f(o) = -448*o + 8669. What is the remainder when f(19) is divided by c(-5)?
2
Let o(n) = -n**3 - 22*n**2 - 59*n - 21. Suppose 3*v = -3*j + 6*v + 15, -3*j = 2*v - 15. What is the remainder when o(-19) is divided by j?
2
Suppose -91 = -4*k + 5*j - 0*j, 0 = j - 5. Suppose -93 = -2*x + 13. Calculate the remainder when x is divided by k.
24
Let k(m) = m**3 + 5*m**2 + 41. What is the remainder when 493 is divided by k(6)?
56
Suppose 808 = -a - 7*f + 4231, 5*a = 2*f + 17115. Calculate the remainder when a is divided by 32.
31
Let t = 44 - 36. Suppose -t*a = -15*a. Suppose c - 1 = a, m - 14 = c - 2*c. What is the remainder when 36 is divided by m?
10
Suppose -7*k - 2*k + 31095 = -0*k. Calculate the remainder when k is divided by 3.
2
Let b = 28201 + -24907. What is the remainder when b is divided by 25?
19
Let a(i) = 6*i**2 - 208*i + 1349. What is the remainder when 559 is divided by a(7)?
185
Suppose 18214*i = 18234*i - 940. Suppose -3*j + 115 = -146. What is the remainder when j is divided by i?
40
Let v = 1678 + -954. What is the remainder when v is divided by (-196)/(-6) + (-2)/(-6)?
31
Let w(c) = 2*c**3 + 98*c**2 - 105*c + 40. What is the remainder when w(-50) is divided by 13?
4
Let k(w) = -w**2 + 21*w + 431. What is the remainder when k(26) is divided by 69?
25
Let j(a) = 3*a**2 + 36*a + 135. Calculate the remainder when 708 is divided by j(-5).
18
Suppose 10*m + 273 = 3*y + 13*m, -m + 443 = 5*y. What is the remainder when y is divided by 30/(-8) + 4/(-16) - -19?
13
Calculate the remainder when 563 is divided by 27 + -14 - -140 - 12.
140
Let f = 127 + -125. What is the remainder when 22 is divided by (-1 + f)/(24/120)?
2
Suppose 0 = 3*g + 3, 15 = 4*v - 2*g - 55. What is the remainder when v is divided by 7?
3
Let z(y) = 7*y + 2. Let n be 3597/9 - 16/(-48). Let o = -384 + n. What is the remainder when z(4) is divided by o?
14
Suppose 435 = 5*z + 4*u, -4*z + 2*u - 96 + 444 = 0. What is the remainder when 866 is divided by z?
83
What is the remainder when 5 - (-5733 + 54/6) is divided by 2863?
3
Let z = -189 + 193. Suppose 0 = 4*a - 3*y - 40, 5*y = -z*a + 3 + 5. What is the remainder when a is divided by 3?
1
What is the remainder when 23900 is divided by 161/14 - (8/(-48))/((-2)/6)?
8
Suppose 133*j - 136821 = 280533. Calculate the remainder when j is divided by 15.
3
Let k(u) = -16*u**3 - u**2 + u + 1. What is the remainder when (-280)/(-2) - (302 + -308) is divided by k(-1)?
11
Let m be ((-32)/24)/(((-16)/(-12))/(-2)). Suppose 94 + 70 = 4*y + 4*i, -m*i = 4*y - 174. Calculate the remainder when 273 is divided by y.
43
Suppose -4*b + 49 = -8*b - 3*n, b + 2*n = -6. Let r(w) = 4*w + 78. What is the remainder when 220 is divided by r(b)?
10
Calculate the remainder when 2746 + (-2 - (12/21)/((-33)/231)) is divided by 391.
11
Suppose 43*v - 1968 = 1687. What is the remainder when 174 is divided by v?
4
Let t be (-7)/(-14)*-4 - 28/(-4). Suppose 28 = -5*b + 8, 3*b = -t*r + 258. What is the remainder when 181 is divided by r?
19
Let k = -5944 - -7701. What is the remainder when k is divided by 12?
5
Let u = -7298 + 7415. Calculate the remainder when u is divided by 7.
5
Suppose 0 = 5*h - 3*u + 235, -4*h + 142 = -7*h + 2*u. Suppose 0 = -4*b + 3*b + 62. Let x = h + b. What is the remainder when 34 is divided by x?
16
Let z = -25796 + 28372. Calculate the remainder when z is divided by 21.
14
Let k = -26438 + 26646. Calculate the remainder when 3737 is divided by k.
201
Suppose 0 = -3*g + 5*f + 155, 5*f = -4*g + 79 + 186. Let t(m) = 69*m - 1217. Calculate the remainder when g is divided by t(18).
10
Let k(r) = -r**3 - 10*r**2 + 128*r + 1385. Calculate the remainder when 340 is divided by k(-10).
25
What is the remainder when (2/(-5))/((-574396)/(-18530) - 31) is divided by 202?
16
Suppose 0 = j - 2 - 1. Suppose 0 = -v - 5 - 0, 2*u + j*v = 13. Calculate the remainder when 3 - 940/15*-1*(-45)/(-30) is divided by u.
13
Suppose 0 = -80*u + 94 + 1026. Suppose 6*p - 172 = 2*p. What is the remainder when p is divided by u?
1
Let i = 299 + -296. Suppose i*n = -0*n + 57. What is the remainder when 93 is divided by n?
17
Let d = -84077 + 84140. Let s(t) = -13*t**3 - t**2 - t. What is the remainder when d is divided by s(-1)?
11
Suppose 0 = 30*h - 13*h - 935. What is the remainder when (-2180)/(-5)*(-10)/(-20) is divided by h?
53
Let y(r) = r**3 + 10*r**2 + 4*r + 17. Let z be y(-10). Let u be (5 + z)*(-30)/9. Suppose -u = -2*o - o. Calculate the remainder when 36 is divided by o.
16
Let m(g) = 4*g**2 - 30*g + 31. Suppose -5*k = -36 - 559. Let q = -71 + k. What is the remainder when q is divided by m(7)?
14
Let q be 4*(56/(-16) - -4). Suppose -u = 2*m - 275, -4*u = -q - 18. Let f = 54 - 8. What is the remainder when m is divided by f?
43
Suppose -685 = -55*g + 60*g. Let n = g + 200. Calculate the remainder when n is divided by (-4)/(-6) - 388/(-12).
30
Suppose -13*q + 640 = -3*q. Let j = 204 - 15. Calculate the remainder when j is divided by q.
61
Suppose 0 = 5787*u - 5802*u + 4545. Calculate the remainder when u is divided by 18.
15
Suppose h - 17*r = -18*r + 12, -51 = -4*h - 3*r. What is the remainder when 7391 is divided by h?
11
Let p(i) = 10*i**3 - 5*i + 3. What is the remainder when 2625 is divided by p(2)?
70
Let i = 208 + -208. Suppose 2*m - o - 34 = i, 2*o + 99 = 5*m + 3*o. Calculate the remainder when 92 is divided by m.
16
Suppose q + 6*q = 28. Suppose 0 = -5*y + q*a + 48, -26 - 19 = -4*y + a. Let b = 16 - y. What is the remainder when 5 is divided by b?
1
Let t be ((-1085)/(-10))/(1/(-2)). Let r = t - -296. Calculate the remainder when r is divided by 40.
39
Let r(w) = -w**2 + 17*w + 10. Suppose 4*h - 4 = -3*b + 5, 0 = -2*h + 5*b - 15. Calculate the remainder when 26 is divided by r(h).
6
Let d(g) = g**2 - 6*g + 5. Let k be d(6). Let o = -6 + k. Let r = 1 - o. Calculate the remainder when r is divided by 1.
0
Let a(u) = -u**3 - 2*u**2 - u - 3. Suppose 25 = -7*d + 39. Suppose d*r - 54 = -2*v - 36, -v - 2*r = -10. Calculate the remainder when a(-3) is divided by v.
1
Suppose -4*p + 48 = 3*w, p - 7*w - 35 = -2*w. Suppose -36 + 47 = z. Suppose z*b + 6*b = 153. Calculate the remainder when p is divided by b.
6
Let u be 10/(-15)*(-321)/(-1). Let b = -176 - u. What is the remainder when b is divided by 10?
8
Let n = 1932 + -1921. Suppose 4*d - 79 = -2*m + 3*d, 3*d = -15. What is the remainder when m is divided by n?
9
Suppose 4*i = -0*i - 19*i. Suppose i = -3*u - 4*m - 0*m + 194, -u + 65 = m. Calculate the remainder when 459 is divided by u.
63
What is the remainder when (4/(-36))/(5/6) - 20536/(-120) is divided by 103?
68
Suppose -4*p = -6*p + 2*l + 2298, -3*l = -5*p + 5737. Calculate the remainder when p is divided by 105.
95
Suppose -5*s = y - 20 - 15, -y = 2*s - 23. What is the remainder when (-21 - 13)*(-3 - 1/(-1)) is divided by y?
8
