Suppose -2*q + 1 = -3. Suppose -d + 14 = 3*s, -5*d + 16 = q*s - d. Suppose -4*w = -3*j + 2*j + 27, -2*w = 6. Calculate the remainder when j is divided by s.
3
Let z = 2459 + -2041. What is the remainder when z is divided by 42?
40
Let o(u) = -114*u + 455. Calculate the remainder when o(-12) is divided by 32.
31
Let x be 2/4 - (-44)/8. Let p = 11 - x. Let o(i) = 2*i**2 - 21*i - 32. Calculate the remainder when p is divided by o(12).
1
Suppose -4*h + 5*m + 28 = -h, 5*h = 3*m + 36. Let g(w) = w - 4. Let o be g(6). Suppose -21 = -o*f + 7. Calculate the remainder when f is divided by h.
2
Let x(l) = l**2. Let m be x(0). Suppose 0 = -3*t + 3 + 3, s - 4*t - 2 = m. Suppose -13*z + 1442 - 1221 = 0. Calculate the remainder when z is divided by s.
7
Suppose 0 = q - 11 - 4. Calculate the remainder when (4 - -5)*110/q is divided by 17.
15
Let p be 442/8 + (-3)/12. Suppose 4*v - p = -v. What is the remainder when ((-2)/(-7) + (-165)/21)*-7 is divided by v?
9
Let f = -54 - -57. Suppose 3*l + l - f*n = 263, 2 = -2*n. Calculate the remainder when l is divided by 17.
14
Let p(o) = o**3 + 17*o**2 - 5*o - 61. What is the remainder when 67 is divided by p(-17)?
19
Suppose -3*z = 41 - 5. Calculate the remainder when 6 is divided by ((-276)/(-28))/3 - z/(-42).
0
Let k = 18 - 12. Let o(n) = 2 - 2*n**2 + 5*n**2 + n**2 - k*n - 1. What is the remainder when o(4) is divided by 15?
11
Let v(m) = m**3 + 5*m + 2*m**2 - 4 - 4*m**2 + 9*m**2. Calculate the remainder when 8 is divided by v(-6).
0
Suppose 56 = 2*z + 2*z. Let d be (72/5)/(-3)*(1 - 6). What is the remainder when z is divided by (78/(-18) - -4)/((-2)/d)?
2
Let y = 378 - 342. What is the remainder when y is divided by 5?
1
Suppose 16*p = 20*p - 68. What is the remainder when 46 is divided by p?
12
Suppose 2*f - l = 441, -4*l + 0*l + 243 = f. Suppose -t = -5*b - 2*t + f, 4*t = b - 53. What is the remainder when b is divided by 16?
13
Suppose 0 = 2*o, -5*o = -4*g - o. Let d(u) = u - 887*u**3 + 888*u**3 + 0*u + 101. Calculate the remainder when d(g) is divided by 26.
23
Let g(x) = 12*x + 7. Let b(o) = -o**2 - 9*o - 5. Let r be b(-6). Suppose -2*c = -r + 5. What is the remainder when g(c) is divided by 29?
26
Suppose -10 = -3*n + 20. Let k(x) = x**3 - 10*x**2 + 20*x + 12. Calculate the remainder when n is divided by k(7).
0
Let c = 377 - 128. Calculate the remainder when c is divided by 6.
3
Let w = 2 - 2. Let i(c) be the third derivative of -c**5/60 + c**4/12 + 13*c**3/2 + 37*c**2. What is the remainder when i(w) is divided by 10?
9
Suppose -2*o - t = -287, 2*t - 31 = 3*o - 444. What is the remainder when o is divided by 9?
6
Let n = 206 - 193. What is the remainder when n is divided by 10?
3
Suppose -3314 = y - 3511. Calculate the remainder when y is divided by 4.
1
Suppose -44*g + 390 = -38*g. Calculate the remainder when g is divided by 38.
27
Suppose -f + 4*f - 90 = 0. Let q = -6 + 10. Suppose 3*l = 3*p + 270, 5*l - 516 + 67 = q*p. Calculate the remainder when l is divided by f.
29
Let j be 9*6/9 + 0. Let v = j - -6. Let q(z) = 2*z - 7. What is the remainder when v is divided by q(6)?
2
Suppose 4*b = -2*q - 9 + 3, 3*b = -q - 6. Let h(r) = 3 - 1 - 3 + r**2 + 0*r**2 + 15*r**q. What is the remainder when h(1) is divided by 9?
6
Let l = -17 + 37. Suppose 4*m - 67 = 105. Let q = -32 + m. What is the remainder when l is divided by q?
9
Let n = -175 + 175. Suppose 30*h - 20*h - 80 = n. Calculate the remainder when 30 is divided by h.
6
Suppose 4*w + 3*z - 945 = 0, -2*w + 476 = -10*z + 8*z. What is the remainder when w is divided by 61?
54
Suppose -x + 25 = -5*n, 4*n - 10 = -x + 6*n. Suppose -3*y - 5*c + 26 = -10*c, -5*y + 3*c + 70 = x. Calculate the remainder when 67 is divided by y.
16
Calculate the remainder when 170/(-1445) + (2960/(-17))/(-1) is divided by 18.
12
Let p = 2 + -1. Suppose -i + p = 0, 2*b - 3*i = -0*b - 7. Let c(z) = 2*z**2 + 2*z. What is the remainder when 4 is divided by c(b)?
0
Suppose 7 - 3 = p. Let r be ((-1)/1)/(p/(-8)). Suppose -3*l - x = -64, -r*x + 1 + 22 = l. What is the remainder when 39 is divided by l?
18
What is the remainder when (-19 + 16)*(-1336)/12 is divided by 16?
14
Suppose 0 = 6*p + 4*v - 1270 + 74, -5*v + 586 = 3*p. Calculate the remainder when p is divided by 12.
10
What is the remainder when 19899/335 + (-6)/(-10) + -1 is divided by 15?
14
Suppose a - 9*a + 344 = 0. What is the remainder when a is divided by ((-13)/(-26))/(2/88)?
21
Calculate the remainder when (-1083)/(-6) - 25/(-50) is divided by 42.
13
Let r be (-2)/(-7) + 222/7. Let l = 50 - r. Calculate the remainder when (105 + -119 + (-96)/(-7))*-1*182 is divided by l.
16
Calculate the remainder when (-48)/2*216/(-96) is divided by 4.
2
Suppose -65 + 161 = 4*v. Calculate the remainder when 283 is divided by v.
19
Let t(c) = 3*c - 1. Suppose -55 = 23*i - 952. What is the remainder when i is divided by t(5)?
11
Calculate the remainder when -11*(-6)/(-24)*-76 is divided by 52.
1
Let j = 22 - -15. Suppose 3*p - p + 6 = 2*v, 3*p = 4*v - 7. Let d(q) = q**2 - 2*q - 15. What is the remainder when j is divided by d(p)?
17
Let n be ((-16)/(-3))/4*66/(-4). Let z = n + 35. What is the remainder when z is divided by 8?
5
Let u(g) = -7*g**3 + 2*g**2 + 3*g + 1. Let w be u(-1). Let z(a) = a**2 - 5*a + 23. Calculate the remainder when z(w) is divided by 13.
11
Let j = -2142 - -2176. What is the remainder when 337 is divided by j?
31
Let a(y) = -y**2 + 16*y - 3. Let q be a(14). Calculate the remainder when (0 - 10/q) + 364/10 is divided by 21.
15
What is the remainder when 27 is divided by ((-51)/(-6) + -6)*2?
2
Suppose k = -4*h - k, -5*h - k - 3 = 0. Calculate the remainder when 63 is divided by (11 - 12)*(h - 15)*2.
31
Let h(y) = 9*y - 75. Let p(r) = 5*r - 37. Let v(s) = -3*h(s) + 5*p(s). Calculate the remainder when 26 is divided by v(13).
12
Let l(u) = -u**2 + 3*u + 4. Let h be l(3). Suppose 2*p + 2*r + h = 5*r, 2*p - r = 0. Calculate the remainder when 10 + -11 + p*34 is divided by 12.
9
Suppose 0 = -4*x + 100 - 0. Calculate the remainder when 194 is divided by x.
19
Let j(a) = -a**3 + 14*a**2 + 15*a + 18. Let u = 24 + -9. Calculate the remainder when j(u) is divided by 11.
7
Suppose v = 4*t + 1, -3*v + 17 = v - 3*t. Calculate the remainder when 38 is divided by v.
3
Calculate the remainder when 224 is divided by 17/153 + 106/18.
2
Let n = -425 + 564. Calculate the remainder when n is divided by 10.
9
Suppose -o + 2*o + 9 = 0. Let x(k) = k**3 + 10*k**2 + 4*k + 11. Calculate the remainder when x(o) is divided by 19.
18
Suppose -5*r + 2*z + 131 + 156 = 0, 2*r - 2*z = 116. Let a(b) = -b**2 - 71*b - 433. Calculate the remainder when r is divided by a(-64).
12
Let h(b) = -b**2 - 5*b - 2. Let d be h(-4). Calculate the remainder when 24 + (d/1 - (3 + 0)) is divided by 12.
11
Calculate the remainder when 27 is divided by ((-6)/5)/(12/(-160)).
11
Let x = -2375 - -2387. What is the remainder when 117/5 + 4/(-10) is divided by x?
11
Suppose -u = -95 - 130. Calculate the remainder when u is divided by 26.
17
Let o(a) = -5*a - 1. Let g(i) = i**3 + 10*i**2 + 18*i + 7. Let l be g(-5). Calculate the remainder when l - (2 + -4 + -1) is divided by o(-5).
21
Let g(l) = 5*l**2 - l - 1. Let j(b) = -b**2 - 8*b + 7. Let x be j(-6). Let q = x + -10. Calculate the remainder when q is divided by g(-1).
4
Let s(v) = v**2 - 8*v - 35. Calculate the remainder when s(-10) is divided by 25.
20
Let z = 10 - 6. Let i(s) = s**2 + 3*s - 9. Calculate the remainder when i(z) is divided by 9 - (0/1 + -2).
8
Suppose n - 630 = -4*o, -2*o = 4*n + o - 2494. What is the remainder when n is divided by 52?
50
Suppose -3*z = -5*v + 3306, -v + 2*v = -5*z + 678. What is the remainder when v is divided by 18?
15
Let a(y) = 5*y + 4. Let v be a(6). Let g be 2/2 + -3 + 0/33. What is the remainder when 49 is divided by (v/(-4))/(1/g)?
15
Suppose 209 + 132 = 11*b. What is the remainder when b is divided by 10?
1
Let r(p) = 30*p**2 - 2*p - 1. Suppose 80 = -23*u + 13*u. Let j(v) = -v**2 - 8*v + 8. Calculate the remainder when r(-1) is divided by j(u).
7
Suppose 59 = i - 4*s, 7*i - 5*i - 138 = 4*s. Calculate the remainder when 470 is divided by i.
75
Let b(l) be the second derivative of -l**4/12 + 3*l**3 + 13*l**2 + 42*l. What is the remainder when b(19) is divided by 2/(-4) + (-11)/(-2)