8*w, 0 = -4*t + w + 682. What is the remainder when t is divided by 94?
77
Let s(m) be the third derivative of 5*m**4/2 - m**3/6 + 16*m**2. What is the remainder when s(1) is divided by 31?
28
Let h(v) = v**3 - 16*v**2 + 16*v + 2. What is the remainder when h(15) is divided by -1 + 6 + 0/1?
2
Let h(i) = i**3 - 11*i**2 + 12*i + 1. Let v be h(10). Let a be 1063/(-3) + 7/v. Calculate the remainder when a/(-7) + (-28)/49 is divided by 18.
14
Suppose -a - 4*a + 390 = 0. Suppose 0 = -4*s - a + 270. Let u = s - 29. Calculate the remainder when u is divided by 7.
5
Let b = -1195 + 1218. What is the remainder when 41 is divided by b?
18
Let n = -307 - -341. What is the remainder when 110 is divided by n?
8
Let x be 2*1 + -17 + 9. What is the remainder when 254/4 + (-3)/x is divided by 34?
30
Let x(z) = z + 15. Let u be ((-8)/28)/(3/(-63)). Let g(b) = b + 14. Let r(d) = u*g(d) - 5*x(d). What is the remainder when 9 is divided by r(-4)?
4
Suppose -3*w - 50 = -g + 2*w, 4*w + 16 = 0. What is the remainder when ((-24)/9)/(1/(-33)) is divided by g?
28
Let w = 14 - -1. Suppose 1 + w = 4*h. Suppose -3*t + 490 = h*t. Calculate the remainder when t is divided by 18.
16
Let x = -5 - -8. Suppose -l = -x*r + 10, r - 3*l = 1 - 3. Calculate the remainder when (-1869)/(-35) - r/10 is divided by 14.
11
Let f be 0 - (2/(-2) - -15). Let r(a) = 2*a**3 - 5*a**2 - 4*a - 5. Let o be r(3). Let d = o - f. What is the remainder when 21 is divided by d?
3
Suppose 127 = 5*d + 72. Calculate the remainder when 82 is divided by d.
5
Let m = 186 + -142. What is the remainder when m is divided by 6?
2
Suppose -2*l - r + 61 = 0, -27 = 2*l + 5*r - 68. What is the remainder when 148 is divided by l?
16
Let x = -1298 + 1303. Let n = 59 + -42. What is the remainder when n is divided by x?
2
Let m(v) = 51*v**2 + 20*v - 18. What is the remainder when m(1) is divided by 25?
3
Suppose 348 = 15*p - 3*p. What is the remainder when 69 is divided by p?
11
Calculate the remainder when 37 is divided by (-54)/(-7) + 185/35 + -5.
5
Suppose -12 = -i + 49. Let b(t) = 15*t + 1. Let u be b(1). Calculate the remainder when i is divided by u*(1 + 1 + -1).
13
Let u(s) = s**3 - 10*s**2 + 26*s - 32. What is the remainder when u(9) is divided by 41?
39
Let z = 997 - 985. What is the remainder when 393 is divided by z?
9
Let c(i) be the first derivative of 3/2*i**2 - 8 - 1/3*i**3 + 7*i. Calculate the remainder when 11 is divided by c(4).
2
Let y = -10 - -16. Calculate the remainder when y/4*(-186)/(-9) is divided by 3/(-7) - (-4 - (-279)/(-63)).
7
Let k(b) = 277*b - 3. Let n(z) = -1. Let f(q) = k(q) + 4*n(q). Let i be f(-9). What is the remainder when i/(-30) + 2/(-6) is divided by 21?
20
Let b(u) = -2*u - 8. Let r = -91 - -77. What is the remainder when (-2)/5 + 784/10 is divided by b(r)?
18
What is the remainder when (-1232)/(-14) + 5/1 is divided by ((-48)/(-10))/((-5)/(-25))?
21
Let z(w) = 9*w**2 + 3*w + 1. Let u be z(-2). Let d = u - 34. What is the remainder when 66 is divided by d/(3/23)*-1?
20
Let h = 481 - 461. Calculate the remainder when 316 is divided by h.
16
Suppose -3*n - 805 = -2*v, -2*v - 65*n = -66*n - 795. What is the remainder when v is divided by 41?
26
Let c = -89 + 86. Let x = 21 - c. What is the remainder when 70 is divided by x?
22
Let g(t) = -t**3 - 4*t**2 + 7*t - 4. Let y be g(-6). Suppose -12 = y*x - 27*x. What is the remainder when 69 is divided by (-32)/x*108/(-16)?
15
Let q(j) = 31*j + 14. Let a be q(6). Suppose 0 = 5*x - f - 2*f - a, f = -2*x + 80. Let i = x - 20. What is the remainder when 58 is divided by i?
18
Let y = 517 + -488. What is the remainder when 155 is divided by y?
10
What is the remainder when 576/(-3)*6/(-6) is divided by 66?
60
Suppose 0 = -24*f + 9*f - 73 + 1438. Suppose 63 = 3*c - 6. What is the remainder when f is divided by c?
22
Let h be ((-27)/45)/((-2)/90). What is the remainder when 76 is divided by -7 + 7 - h/(-1)?
22
Suppose 3*j = -2*z + 3 + 3, 6 = -2*z + 3*j. Suppose -7*i + 12*i - 75 = z. Let c = i + 5. What is the remainder when 57 is divided by c?
17
Let l be (-14)/(-63) + (-50)/(-18). Suppose 0 = 2*a - 6*k + 2*k + 18, 2*k + l = -3*a. Calculate the remainder when a + 6 - (4 - 9) is divided by 7.
1
Let n = 83 - 169. Let b = n + 165. What is the remainder when b is divided by 27?
25
What is the remainder when 80*((-3)/(-3) + (-18)/(-30)) is divided by 43?
42
Suppose 3*a - 5 + 57 = k, -4*a - 20 = 0. Let l = k + -6. Calculate the remainder when l is divided by 8.
7
Let w(f) = 7*f - f**2 + 0*f**2 - 9 - 15*f. Let q be w(-6). Suppose 5 = q*b - 4*b, 4*c - 51 = -5*b. What is the remainder when 54 is divided by c?
16
Let h(f) = -f**2 + 4. Let g be h(7). Let y = g - -79. Suppose -s + y = -2*l + 5*l, -89 = -3*s + 4*l. What is the remainder when 60 is divided by s?
29
Suppose -19*c - 28 = -21*c. Calculate the remainder when 305 is divided by c.
11
Let t = 836 + -765. Calculate the remainder when t is divided by 43.
28
Suppose -2*d - 3*w + 43 = 0, -4*w = 2*d - 46 + 2. Suppose -5*j + 2*r + 60 = -r, 2*j - 2*r = d. Calculate the remainder when 43 is divided by j.
13
Suppose 2*f + 135 = 5*v, -95 = -3*v + 5*f - f. Calculate the remainder when v is divided by 15.
10
Let q be (-14)/(-6) - 2/6. What is the remainder when (q/5)/((-12)/(-210)) is divided by 1?
0
Let t(h) = 1 + h**2 + 7*h - 5*h - 12*h**3 + 0*h**2. What is the remainder when t(-1) is divided by -2 + 2 + 3 + 2?
2
Suppose -231 = -66*u + 429. Calculate the remainder when 367 is divided by u.
7
Let f(q) = q**2 + 7*q - 32. What is the remainder when 129 is divided by f(7)?
63
Suppose -3*w + 6*w = 378. Suppose -2*i = i - w. What is the remainder when i is divided by 2 - -23 - (-2)/(-1)?
19
Let k = -681 + 866. What is the remainder when k is divided by 27?
23
Let a(y) = 24*y**3 - 2*y**2 + 4*y - 1. Calculate the remainder when 98 is divided by a(1).
23
Calculate the remainder when 118 is divided by (3 - (-56)/(-12))*1*-9.
13
Let q(b) = 0*b - b**2 + 2*b**2 - 4*b - 3 + 0. What is the remainder when 85 is divided by q(-4)?
27
Suppose 2 = -3*b + 5. Calculate the remainder when b/(4/(-760)*-2) is divided by (-610)/(-25) + (-4)/10.
23
Let o = -71 - -148. Let a(c) = 9*c - 4. Calculate the remainder when o is divided by a(1).
2
Let w = 6 + -3. Let d(c) = c**2 - 11*c + 15. Let h = -16 - -26. Calculate the remainder when d(h) is divided by w.
2
Let q(b) = 2*b + 13. Let c be q(-6). Calculate the remainder when 3 is divided by c/(-5) + 16/5.
0
Let f(s) = -s**3 + 11*s**2 - 8*s - 15. Let n be f(10). Suppose -13*v = -n*v - 104. What is the remainder when 23 is divided by v?
10
Let h = 412 + -351. What is the remainder when 303 is divided by h?
59
Let u be 2/8 + 3540/(-80). Let m = u - -58. What is the remainder when 69 is divided by m?
13
Let r = -9 - -6. What is the remainder when 11 is divided by (-8 + -2)/(r - -1)?
1
Suppose 39*m - 2153 = 70. What is the remainder when m is divided by 34?
23
Suppose a - 3*j = 0, a = -6*j + 2*j + 21. Suppose -2*n = 4*r - 16, a = -3*n + 3. Suppose 0 = -r*q + 52 + 68. Calculate the remainder when q is divided by 13.
11
Let i(z) = 24*z + 3. Let d = 79 - 73. Calculate the remainder when i(1) is divided by d.
3
Let a(b) = 12*b - 41. Let v be a(13). Suppose 4*r - 185 - v = 0. Calculate the remainder when r is divided by 13.
10
Suppose -6*p - 15 = -p. Let u be p*((-1 - -3) + -3). Suppose 0 = u*x + 7 - 67. What is the remainder when 39 is divided by x?
19
Let t(z) = 6*z - 5. Let l(p) = -3*p - 43. What is the remainder when t(5) is divided by l(-19)?
11
Suppose -1480 = -294*c + 284*c. What is the remainder when 299 is divided by c?
3
Let h be 23 + 6/(0 + 2). Suppose h + 160 = 6*y. What is the remainder when y is divided by (-66)/4*(-4)/6?
9
Let q(f) = 6*f**2 - 2*f + 3. Let n = -688 - -706. Calculate the remainder when q(3) is divided by n.
15
Let k be 3/12 - (-1305)/12. Suppose 0 = 4*f - w - k, -3*f + w + 9 + 72 = 0. What is the remainder when 1*(0 + -5)*-11 is divided by f?
27
What is the remainder when -43*(8 + (-9 - 1)) is divided by 16?
6
Let r(a) = a**2 - 12*a - 76. Suppose 0 = -d + 4*d - 72. Calculate the remainder when d is divided by r(-5).
6
Let p be 4/(-5)*(-150)/(-4). Let h(n) = n**2 - 11*n - 710. Calculate the remainder when (-3*3)/(9/p) is divided by h(-22).
14
Let f = 13 + -4. Calculate