 remainder when t is divided by 1.
0
Let f = -5 + 10. Suppose 0 = -t - r + 11, -3*t - f*r + 37 = -0. What is the remainder when 16 is divided by t?
7
Let f = -902 + 928. What is the remainder when 699 is divided by f?
23
Let f(y) be the first derivative of y**3 - 16*y - 35. Calculate the remainder when f(6) is divided by 25.
17
Let w(t) = 5*t**3 - 10*t**2 + 13*t - 6. What is the remainder when w(5) is divided by 4?
2
Suppose -2*v = -5*c + 159, 2*c + 7*v - 2*v = 52. Suppose -2*w = 3*q - 264, -12*w = -8*w + 3*q - 510. What is the remainder when w is divided by c?
30
Let a = 3 - -3. Suppose -3*i + 27 = -a. Calculate the remainder when 41 is divided by (-2)/((6/i)/(-3)).
8
Suppose 5*g - 256 = -51. Suppose 1359 = 40*z + 479. What is the remainder when g is divided by z?
19
Let c(y) be the third derivative of -1/120*y**6 - 17/60*y**5 + 14*y**2 - 1/12*y**4 - 10/3*y**3 + 0 + 0*y. What is the remainder when 38 is divided by c(-17)?
10
Suppose -2*l + 7 + 14 = -g, 5*g = 3*l - 28. Suppose 3*z + 0*z = 5*w - 17, -l = -3*z - 2*w. Calculate the remainder when z is divided by 1.
0
Let f = 15 - -63. Suppose -5*i = -77 - f. Calculate the remainder when 90 is divided by i.
28
Let k be (1 + (-4)/8)*2. Suppose 0 = 3*w - 7*w - 3*c + 31, -1 = -w - 3*c. Calculate the remainder when 37 - -2*k/2 is divided by w.
8
Let m = -381 + 399. Calculate the remainder when 88 is divided by m.
16
Suppose l + 5*x + 20 = 0, 0*l = -5*l + 5*x - 40. What is the remainder when 128 is divided by (26/l)/(10/25)*-4?
24
Suppose -4*v + 2*u = -1 - 7, -v = u + 1. Let l be -5*(3 + v + -3). Calculate the remainder when (-2)/(-5) + (-363)/l is divided by 19.
16
Suppose -19 = -c - 3*g, -6*c + c = -5*g - 35. Suppose 3*u - 32 = 4*d, d = -d - c. What is the remainder when 7 is divided by u?
3
Let s(l) = l**3 + 5*l**2 - 23*l + 9. What is the remainder when s(5) is divided by 29?
28
Let k(b) = -7*b - 39. Let m be (-3)/(-2)*12/9. Suppose 0 = -3*o + m*o + 8. What is the remainder when o is divided by k(-6)?
2
Let y be (40/(-14))/((-4)/14). Suppose 0 = -y*n + 15*n - 265. What is the remainder when n is divided by 18?
17
Suppose -7*s + s = 24. Calculate the remainder when (3/s)/((-5)/20) + 135 is divided by 20.
18
Suppose -8560 = 10*x - 30*x. What is the remainder when x is divided by 48?
44
Let u be 9 + -11 - 1/(-1). Let y(b) = -7*b - 10. Let j(v) = v + 1. Let d(g) = u*y(g) - 6*j(g). What is the remainder when 5 is divided by d(0)?
1
Let v(m) = -14*m - 7. Suppose -g = 3*c - 418, -2*c - g - 277 = -4*c. Calculate the remainder when c is divided by v(-3).
34
Calculate the remainder when 204 is divided by 9/(-81)*-9 - (-100)/1.
2
Let k be ((-11)/(-4) - 2)/((-2)/8). Suppose 3*n + 0*n = -30. Let s = k - n. What is the remainder when 20 is divided by s?
6
Let n be ((7 - 3) + -7)*-1. Suppose n*p + 174 = 9*p. What is the remainder when p is divided by 17?
12
Calculate the remainder when 143 is divided by (112/(-7))/(-2 + 10/6).
47
Let f be 61/9 - 6/(-27). Suppose -f + 22 = 5*u. Calculate the remainder when 14 is divided by u.
2
Suppose -t + p = -3*t - 3, -4*t - 7 = 3*p. Let c = t - -6. Calculate the remainder when c is divided by 4.
1
Let w(b) = b**3 - 13*b**2 + 21*b + 7. Let d be w(11). Let u(p) = -p**2 - p + 16. What is the remainder when 23 is divided by u(d)?
3
Suppose -3*z - 630 = -33*z. Calculate the remainder when 43 is divided by z.
1
Suppose -2*a - 3*q = -135, q = 4*a + 3*q - 282. Suppose 5*d = 2*w - 6*w + 103, 2*d - w - 36 = 0. What is the remainder when a is divided by d?
15
Let s = -16069 + 16098. Suppose z = -5*h - z + 570, -342 = -3*h - 3*z. Calculate the remainder when h is divided by s.
27
Let z = -13 + 25. Suppose -193 = -3*o + 122. Suppose 2*b - o = -b. What is the remainder when b is divided by z?
11
Let b = 507 - 471. Calculate the remainder when 249 is divided by b.
33
Suppose 85 = -9*s + 4*s. Let o = -15 - s. Suppose -u - 2*f = 8, -f + 3 = 3*u + 2. What is the remainder when o is divided by u?
0
Suppose -7302*c - 208 = -7310*c. Calculate the remainder when 52 is divided by c.
0
Let i(d) = 9*d**3 + 4*d**2 - d + 4. What is the remainder when i(2) is divided by 36?
18
Calculate the remainder when -93*(-2)/(2 + 0) is divided by ((-16)/(-28))/((-4)/(-112)).
13
Suppose 0 = -57*o + 56*o + 4. Calculate the remainder when (-2210)/(-70) + o/(-7) is divided by 8.
7
Let b = 31 + -20. Suppose -2*f - f - 5*s + 17 = 0, -5*f + 17 = -3*s. Calculate the remainder when b is divided by f.
3
Suppose -3*v + 72 = 5*v. Calculate the remainder when 223 is divided by v.
7
Suppose -3*x - 2*w + 32 = 0, -16 = x - 3*x + 4*w. Suppose -15*p + r + 73 = -x*p, 3*r + 37 = 2*p. What is the remainder when p is divided by 5?
4
What is the remainder when (-3 - 1)*178/(-8) is divided by 23?
20
Let v = -21 + 49. Let x = -211 - -221. What is the remainder when v is divided by x?
8
Let q = -3 - -5. Suppose 3*x - 15 = 2*x. Calculate the remainder when -146*1/q*-1 is divided by x.
13
Let p(x) = -2*x**3 - 8*x**2 - 2*x - 4. Let j(l) = l + 4. Let r be j(-8). Let o = -8 + 10. What is the remainder when p(r) is divided by o?
0
What is the remainder when 133*10 + (-3)/5*5 is divided by 35?
32
Suppose 4*k - 109 = -u - 4*u, k = -4. What is the remainder when u is divided by 17?
8
Suppose 2*a - 68 = 2*d, -2*a = 20*d - 17*d - 63. What is the remainder when 294 is divided by a?
30
Let v(l) = -3*l**2 + 23. Let f be v(-4). Calculate the remainder when 130/f*(-10)/4 is divided by 9.
4
Let u = -191 + 209. What is the remainder when 102 is divided by u?
12
Let h = -1343 + 1369. What is the remainder when 81 is divided by h?
3
Suppose -12*p + 24 = -11*p. What is the remainder when 41 is divided by 69*1*8/p?
18
Let x = -21 + 97. What is the remainder when x is divided by (280/91)/((-60)/(-390))?
16
Let k(m) = 0*m + 1 - 3*m - 5*m + 0. Suppose 1 = 2*j - 5*s, -3 = j + 4*s + 3. Calculate the remainder when 31 is divided by k(j).
14
Let t = 4 - 0. Let h(y) = y**3 - 7*y**2 + y + 6. What is the remainder when (-3101)/(-63) + t/(-18) is divided by h(7)?
10
Let r(z) = 61*z - 37. Calculate the remainder when 314 is divided by r(3).
22
Let o(t) = 27*t - 3. Let c(i) = 26*i - 2. Let y(h) = -2*c(h) + 3*o(h). What is the remainder when y(2) is divided by 8?
5
Let g(k) = -k**2 + 20*k - 44. Calculate the remainder when 105 is divided by g(14).
25
Let q(c) = c + 4. Let m be q(-7). Let h = -13 - m. Calculate the remainder when ((-12)/h)/(36/2280) is divided by 26.
24
Let d = 15 - 10. Suppose d*k + 2*u - 28 = 0, 2*u + 1 = -k + 5. Suppose 7 + 61 = 4*o. What is the remainder when o is divided by k?
5
What is the remainder when (-13)/(-364)*21 + (-2586)/(-8) is divided by 55?
49
Suppose 2*y - 27 + 278 = 5*n, -5*n - 4*y = -233. What is the remainder when 436 is divided by n?
44
Let i(m) be the third derivative of m**5/60 - m**4/4 - 7*m**3/6 - 8*m**2. Calculate the remainder when i(-6) is divided by 17.
14
Let c = -473 - -493. Calculate the remainder when 110 is divided by c.
10
Suppose -14 = -r - 2. Suppose -3 = -h + 4*h. What is the remainder when (-1)/(4/176*h) is divided by r?
8
Let x = 4 - 7. Let c(h) = 21*h - 5. Let b be c(x). Let d = -25 - b. What is the remainder when d is divided by 22?
21
Suppose -10 = -7*s + 6*s. Let p = 12 - s. Suppose t - 9 = -p*t. Calculate the remainder when 9 is divided by t.
0
Let q be -2*(4/(-8) + -2). Let l(m) = 2*m**2 - 5*m - 5. Calculate the remainder when l(q) is divided by 7.
6
Suppose -5*j = -4*c + 186 + 13, 0 = -j + 1. Calculate the remainder when c is divided by 14.
9
Let t(d) = d**2 + 2*d - 19. What is the remainder when 263 is divided by t(-9)?
43
Let y be 1*9*(-6)/(-9). Suppose 0 = 3*s - 4*s - y. Calculate the remainder when 57/s*(0 - 2) is divided by 10.
9
Suppose 4*w + 5 = 21. Suppose 0 = -h - w*h - 705. What is the remainder when 35 is divided by 4/16 - h/12?
11
Suppose -79 = -3*s - 19*s + 31. Suppose 5*j - j = 0. Suppose 2*h - 38 + 4 = j. What is the remainder when h is divided by s?
2
Suppose -58 = -17*c + 197. What is the remainder when 400 is divided by c?
10
Suppose 0 = -4*j + 3*j. Let c(m) = -7*m + 2. Let n be c(0). Suppose j = i + n, -4*d = -d - 4*i - 170. Calculate the remainder when d is divided by 19.
16
Let f be 2/(92/(-32) - -3). What is the remainder when 39 + f - (3 - 0) is divided by 18?
16
Let w(k) = -6*k. Let h