+ g, 11 = a + 3*n - 17. Calculate the remainder when 23 is divided by a.
10
Suppose -67*r + 65*r = -34. What is the remainder when 83 is divided by r?
15
Let d(y) be the first derivative of -5/2*y**2 + 1/3*y**3 + 3*y - 3. Calculate the remainder when d(5) is divided by 3.
0
Let l be 0*(15/(-12) + 2/8). Suppose -2*d + 4*k = -18, 4*k - 7 + 19 = l. Calculate the remainder when 9 is divided by d.
0
Let s(k) = k**3 - 5*k**2 - 35*k + 10. What is the remainder when s(9) is divided by 10?
9
Let k = 323 - 319. Calculate the remainder when ((-46)/(-8))/((-2)/(-8)) is divided by k.
3
Suppose -3*c - 3402 = 2*m - c, 2*m = 5*c - 3423. What is the remainder when 6/39 - m/78 is divided by 6?
4
Suppose -5*o + 11 = -19. Calculate the remainder when 11 is divided by o.
5
Suppose 4*p - 220 = -4*h, 212 = 3*h + h - 4*p. Let x = h - 25. Calculate the remainder when x is divided by 10.
9
What is the remainder when 45/18*(-48)/20 + 7 is divided by 1?
0
Let x = 31 + -12. Let f = 5982 - 5958. Calculate the remainder when f is divided by x.
5
Let t = 13 + 94. What is the remainder when t is divided by 30?
17
Suppose 0 = v + r - 13 - 9, -34 = -v + 3*r. Calculate the remainder when 67 is divided by v.
17
Suppose 5*o = 92 + 133. Suppose 4*t - 60 = -0*t. Suppose -t = 3*a, 2*x = -0*x - 4*a + 12. What is the remainder when o is divided by x?
13
Let v = 76 + -16. Let f = v - 29. Suppose 5*o - 58 = -4*r, -2*r = 3*r - 4*o - 52. Calculate the remainder when f is divided by r.
7
Let z(i) = -i**3 + 5*i**2 + 17*i + 3. Let l(h) = h**3 - 7*h**2 + 7*h + 3. Calculate the remainder when z(7) is divided by l(6).
6
Let k(s) = -3*s**2 - 315*s - 906. Let p = 5 + -1. What is the remainder when k(-102) is divided by p?
0
Suppose 28*m - 8904 = -56*m. Calculate the remainder when m is divided by 102.
4
Let d be -16 + (-1 - -2) + (-2 - -5). Calculate the remainder when d*2*(20/8 + -3) is divided by 3.
0
Suppose 45*u - 386 - 1504 = 0. Suppose 119 = 5*d - 4*i, -41 = -4*d - 5*i + 46. What is the remainder when u is divided by d?
19
Let k be 164/(-10) + ((-69)/15 - -4). Let l(n) = -2*n + 1. Let o be l(3). Let a = o - k. Calculate the remainder when 23 is divided by a.
11
Suppose 0 = 23*u + 794 - 3071. Calculate the remainder when u is divided by 30.
9
Suppose 1770 = -2*z + 5*z. Suppose -2*h + z = 4*w, -2*w = -2*h - 95 - 185. Calculate the remainder when w is divided by 37.
34
Let f(g) = -g**3 + 5*g**2 - 6*g + 3. Let n be f(4). Suppose -p + 76 = 5*m, -2*m - 3*m + 79 = 4*p. Let y = m + n. Calculate the remainder when y is divided by 6.
4
Let s = -45 + 168. What is the remainder when s is divided by 14?
11
Let w = -195 - -506. What is the remainder when w is divided by 39?
38
Let q(n) = -n**3 + 7*n**2 - 7. Let c be (8/12)/(6/27). What is the remainder when q(c) is divided by (6 - (2 + 0))*2?
5
Let j be (42 - -1)/(-6 - -7). Suppose -8 = 7*d - j. What is the remainder when 18 is divided by d?
3
Let p(g) be the second derivative of g**4/6 + 7*g**3/6 - 5*g**2 + 2*g. Let m be p(-6). Calculate the remainder when 255/m*32/6 is divided by 23.
22
Let w(z) = 2*z**2 - 2*z**2 + 3*z**2 + 24 - z**2 + 15*z. Calculate the remainder when 157 is divided by w(-8).
29
Suppose 2*y + 1 = -3. Let d be 30 - (-3 - (0 + y)). Let n = d + 37. Calculate the remainder when n is divided by 18.
14
Let x(c) = -8*c + 24. Let y be x(-17). Let w = y - 96. Let d = 43 + -21. What is the remainder when w is divided by d?
20
Suppose 2*v + 5*o = 4*v + 7, 0 = 5*v - 4*o + 26. Suppose 28 + 84 = 4*f. Calculate the remainder when f is divided by ((-16)/(-3)*v)/(-2).
12
Suppose -2*a + 4 = -0. Suppose -3*y + 3*r = -2*y - 9, a*y = 5*r + 21. Calculate the remainder when 52 is divided by y.
16
Calculate the remainder when -897*(-6)/(16 + 2) is divided by 19.
14
Let a(j) = j**3 + 5*j**2 - 28*j - 4. Calculate the remainder when 82 is divided by a(-8).
26
Let t be (-18)/30 - (-26)/10. Let k be -8 + 7 + 146/t. Suppose -3*x + 37 = 4*j - 12, 4*x + 2*j = k. What is the remainder when x is divided by 5?
4
Calculate the remainder when (-1827)/(-18) + (-3)/2 is divided by (-20)/5*34/(-4).
32
Suppose p - 4 = -1. Let x(s) = -s - 5. Let t be x(-10). Suppose 25 = 3*v - v + g, 0 = 5*v + t*g - 70. Calculate the remainder when v is divided by p.
2
Let m(g) = -g**2 - g + 11. Let r be m(3). Calculate the remainder when 338/8 - (-1)/(-4) is divided by (r + 16/(-6))/((-1)/3).
9
Suppose 3*g + r + 267 = 0, -3*g + 5*g - 3*r + 178 = 0. Let l be g/(-3) - 9/(-27). Suppose 11*s = 12*s - l. What is the remainder when 88 is divided by s?
28
Let z(l) = l**3 + 11*l**2 + 7*l - 17. Let i be z(-10). Let v(n) = -n**2 + 13*n + 7. What is the remainder when v(i) is divided by 3?
1
Suppose 4 = 2*i - 4. Suppose 4*s - 96 = i*v, s = -s + 5*v + 60. Calculate the remainder when 96 is divided by s.
16
Let b(n) = n**2 - 2*n - 98. Calculate the remainder when 3 is divided by b(11).
0
Suppose 2 - 12 = -2*s + 2*y, -5*y + 38 = 4*s. Let g = -39 - -79. Suppose -n - s = -g. Calculate the remainder when n is divided by 9.
6
Suppose 4*k = 63 - 27. Calculate the remainder when 59 is divided by k.
5
Suppose -2*c + 4*i + 14 = -32, -c = -5*i - 14. Suppose p = 4*o + 98, -3*o = -2*p + 232 - 51. What is the remainder when p is divided by c?
28
What is the remainder when 38 is divided by (24/(-15))/(4/(-35))?
10
Suppose 33 = 2*v - 5*j + 8, 0 = 2*v - 4*j - 22. What is the remainder when (2/v)/((-5)/(-925)) is divided by 19?
17
Let z = 174 - 157. Let i(r) = 2*r**2 - 2*r - 2. Suppose 3*f = f - 4. What is the remainder when z is divided by i(f)?
7
Suppose 0*f = -2*f + 20. Suppose -33 = 7*r + 72. What is the remainder when (24 + r)*2*2 is divided by f?
6
Suppose 4*i = 3*j + i + 30, 0 = 4*j + 5*i - 5. Let d(t) be the first derivative of -t**2/2 - 2*t + 16. What is the remainder when d(j) is divided by 1?
0
Let m(t) = t**3 - 25*t**2 - 23*t - 23. What is the remainder when m(27) is divided by 48?
46
Suppose 5*y + z - 109 = -16, y = 4*z + 6. Let m(h) = 65*h**2. What is the remainder when m(1) is divided by y?
11
Suppose a + 2*c - 67 + 16 = 0, 0 = -a + c + 51. What is the remainder when 171 is divided by a?
18
Let i be (-12)/18*(-27)/2. Suppose -6*l + 15 = -i. Suppose 0 = l*p + 46 - 114. What is the remainder when 50 is divided by p?
16
Suppose 3 - 15 = -x. Suppose 4*g + 0*g = x. Suppose 104 = g*a + 41. Calculate the remainder when 39 is divided by a.
18
Let k be (-147)/12 - 1/(-4). Let s(i) = -2001*i - 2*i**2 + 1987*i - 12 - 11*i**2 - 2*i**3 + i**3. What is the remainder when 45 is divided by s(k)?
9
Suppose -2 - 2 = -2*z. Let b = z - -10. Suppose -3*w = -s - 101, -5*w = -155*s + 151*s - 166. What is the remainder when w is divided by b?
10
Let c = 45 + -30. Suppose 4*u - 4*x = 16, 0 = -2*u + 5*x - 0 + 2. Calculate the remainder when c is divided by u.
3
Let u(y) = 2*y**2 + 2*y + 3. Let l = 20 - 15. Suppose 5*h + 6 = j - 34, l*h + 10 = -5*j. Calculate the remainder when u(h) is divided by 18.
15
Let t(j) = -j**3 - 2*j**2 - 2*j + 62. Calculate the remainder when 309 is divided by t(0).
61
Suppose -8*g = -10*g + 8. Let f(k) = -k**3 + 5*k**2 - 2*k - 2. What is the remainder when f(4) is divided by g?
2
Let x = -178 - -359. What is the remainder when x is divided by 46?
43
Let i(u) = -u**3 - 5*u**2 - 8*u - 10. Suppose 2*m - 2*w + 2 = -4, -17 = 3*m + 5*w. What is the remainder when 19 is divided by i(m)?
1
Suppose -4*n + 3*o - 256 = 0, -4*n + o - 175 = 89. Let f = 83 + n. What is the remainder when 30 is divided by f?
14
Let c = -143 + 172. What is the remainder when 75 is divided by c?
17
Suppose -48*v = -33*v - 8145. What is the remainder when v is divided by 78?
75
What is the remainder when 12/42 - 789/(-7) is divided by -4 + ((-54)/72 - 342/(-8))?
37
Let v(n) = -3*n - 1. Let z be v(-1). Suppose 0 = 4*i + 5*f - 56, -35 = -3*i - 0*f - z*f. Let r = 35 - i. Calculate the remainder when 49 is divided by r.
23
Suppose -40 = -40*l + 38*l. What is the remainder when 99 is divided by 2*136/l*(-10)/(-4)?
31
Suppose 33 = -5*l + 88. Suppose 3*h = -3*w + 105, 4*w - 5*h = -0*h + 104. What is the remainder when w is divided by l?
9
Let z be -4*1/(((-6)/9)/(-1)). What is the remainder when 20 is divided by 5 + -4*z/24?
2
Let q(y) = y**3 - 2*y**2 - 73*y + 24. Calculate the remainder when 212 is divided by q(10).
24
Suppose 7*w - 8*w = -