= 37 - 67. Let k = l - -40. Let x(n) = 38*n**3 - n**2. What is the remainder when x(1) is divided by k?
7
Let w(t) = -2*t**3 - 7*t**2 - 6*t + 53. Calculate the remainder when w(-6) is divided by 27.
26
Let j(k) = -13*k - 89. What is the remainder when 466 is divided by j(-12)?
64
Suppose -9*d + 12 = -5*d. Suppose d*r = -12, 3*f - 56 = r + r. What is the remainder when 58 is divided by f?
10
Suppose 6*q - 154 = -q. Calculate the remainder when 460 is divided by q.
20
Suppose -96 = 5*j + j. Let w(v) = v**3 + 17*v**2 + 9*v - 9. Calculate the remainder when w(j) is divided by 27.
22
Let w be -8*1/(-2) + -4. Suppose w = -q + 4 + 14. Calculate the remainder when 53 is divided by q.
17
Let g = -294 - -503. Suppose 80 - g = -3*q. Calculate the remainder when q is divided by 11.
10
What is the remainder when -4*(0 - (-49)/(-28)) is divided by 7?
0
Suppose -w = 4*v - 5 - 19, 0 = -3*w. What is the remainder when 11 is divided by v?
5
Calculate the remainder when (-22)/10 - 13/(-65) - -59 is divided by 30.
27
Let k(h) = h + 10. Let o be k(-4). Suppose -3*g = -o*g + 15. What is the remainder when 42 is divided by g?
2
Suppose -x - 12 = x. Let k = x + 31. Let h = 48 - k. What is the remainder when 43 is divided by h?
20
Suppose m - 148 = -4*m - 4*l, 3*l = 6. Let k = m + -19. Let i = 21 - k. Calculate the remainder when 47 is divided by i.
11
Let h(d) = -d**3 - 7*d**2 + 5*d - 7. Suppose -3*g - 20 = f - 0, -f = -2*g. Calculate the remainder when 50 is divided by h(f).
16
Let j = 11 - 5. Suppose -195 = o - j*o. What is the remainder when o is divided by 6?
3
Let m = 124 + -92. What is the remainder when m is divided by 3?
2
Suppose 0 = 2*l - 0*l - 138. Let m be -110*(-3 - (-51)/15). Let f = m + 62. Calculate the remainder when l is divided by f.
15
Suppose 220 = 3*o + n, -2*o - 215 = -5*o - 2*n. What is the remainder when o is divided by 17?
7
Let h = -2 - -6. Suppose -s - 3*c = -14, s + h = 5*c - 2*c. Suppose -k - z + 46 = -0, 3*k - 144 = -s*z. What is the remainder when k is divided by 23?
20
Let a(x) = -7*x - 18. Let s(f) = 34*f**2 - f - 2. Let d be s(2). Suppose k + d = 3*k. Calculate the remainder when k is divided by a(-5).
15
Let q(s) = -s**3 + 9*s**2 + 29*s - 2. What is the remainder when q(11) is divided by 10?
5
Suppose 0 = -w - 5*h + 25, 2*w - 2*h = -w + 41. Let z = w - -8. Calculate the remainder when z is divided by (-5)/40 - 97/(-8).
11
Suppose 8 = n + n. Suppose -3*k - 11 = 2*w - 98, -3*k = 15. Suppose p = -5*b + w, -2*b - p + 21 = -0*p. What is the remainder when b is divided by n?
2
Let y(f) = 6*f**2 + 22*f - 4. Let m be y(-7). Let b = m + -66. Calculate the remainder when b is divided by 9.
7
Let h be ((-26)/12 - 33/(-22))*-3. Let z(y) = y**2 + 4*y + 2. Calculate the remainder when (h/4)/(((-15)/(-550))/3) is divided by z(-6).
13
Suppose 5*k = 3*r - 31 - 1, -36 = -5*r + 4*k. Suppose -3*b + 120 = 3*m, 5*m - 4*b - 30 = r*m. Calculate the remainder when 188 is divided by m.
36
Calculate the remainder when 81 is divided by (-2*455/(-14))/((-1)/(-1)).
16
Let u = -178 + 322. Suppose 94 = 4*k + 426. Let w = u + k. What is the remainder when w is divided by 13?
9
Suppose -3*i + 5*r = -1443, 8*r - 1461 = -3*i + 7*r. What is the remainder when i is divided by 49?
45
Let f(r) = -2*r**2 - 25*r + 164. Calculate the remainder when 67 is divided by f(-17).
1
Calculate the remainder when 55 is divided by (-1 - -24)*(-15)/((-75)/10).
9
Suppose 2*l + l = 15. Suppose -i - 581 = h - l*h, -5*h = -5*i - 715. Let p = 215 - h. What is the remainder when p is divided by 18?
15
Let u(y) = y + 18. Let r be u(-16). Suppose -32 + r = -5*v. Calculate the remainder when 7 is divided by v.
1
Let t = -12 + -39. Let x = -22 - t. Let y = 19 - 11. Calculate the remainder when x is divided by y.
5
Suppose 8*p = 46 - 78. What is the remainder when 32 is divided by (-5)/((-10)/p)*(-85)/10?
15
Let s = 327 - 283. Calculate the remainder when s is divided by 40.
4
Suppose t - 2*q + 6 = 0, 3*t + q = 17 - 0. Suppose b - 3*k = -t*b + 274, k = -5*b + 282. Let m(y) = 20*y - 1. Calculate the remainder when b is divided by m(1).
18
Let z(c) = -26*c - 18. What is the remainder when z(-4) is divided by 30?
26
Let r(m) = 2*m**3 + 12*m - 23. Let w(a) = 3*a**2 - 6*a - 6. What is the remainder when w(-4) is divided by r(2)?
15
Suppose 156*o - 817 = 137*o. Suppose 3*f - 18 = f. Calculate the remainder when o is divided by f.
7
Let i(b) = 7*b**3 + 4*b**2 - 7*b - 8. Let h(v) = 13*v**3 + 8*v**2 - 14*v - 15. Let u(l) = -6*h(l) + 11*i(l). What is the remainder when 127 is divided by u(-6)?
31
Suppose 0 = 2*w - 1 - 5. Suppose -16 = -y - w*y. What is the remainder when 39 is divided by 86/y - 20/40?
18
What is the remainder when 3528/42 + 4/1 is divided by 7?
4
Suppose -s - y + 1804 = 3*s, -3*y + 2255 = 5*s. Suppose -4*d + s = 3*h, 2*h + d = -d + 300. Let v = h - 104. What is the remainder when v is divided by 12?
9
Let w = 588 - 457. Suppose u + 2*u - 144 = -4*o, -u - 2*o + 50 = 0. What is the remainder when w is divided by u?
43
Suppose 9*n - 110 = 4*n - 5*b, -3*n + 60 = b. What is the remainder when 302 is divided by n?
17
Suppose -54 = -3*n - 5*x + 129, -4*n + 2*x + 244 = 0. Calculate the remainder when n is divided by 22.
17
Let h be (-5)/20 - 26/(-8). Suppose 5*d = 2*u + h*u, 0 = 2*u. Suppose -o + 25 + 5 = d. Calculate the remainder when o is divided by 17.
13
Let f be (-5)/((-15)/(-27)) + -2. Let z = 27 + f. Let o = z + -2. What is the remainder when 41 is divided by o?
13
Let s(u) be the second derivative of -5*u**3/3 - 23*u**2 - 19*u. Calculate the remainder when s(-7) is divided by 10.
4
Let l(w) = -w + 1. Suppose -2*v + 3*c + 66 = 0, -5*v - 4*c + 241 = 30. What is the remainder when v is divided by l(-9)?
9
Let m(w) = -367*w - 1357. Calculate the remainder when m(-5) is divided by 24.
22
Let a = 28 - 24. Suppose -a*l + 300 = l. What is the remainder when l is divided by 16?
12
Let y(c) = -3*c - 1. Let s be y(4). Calculate the remainder when 30 is divided by (-4 - -2) + s/(-1).
8
Let b(w) = -3*w**2 + 10*w - 11. Let c(l) = 4*l**2 - 11*l + 12. Let u(k) = 5*b(k) + 4*c(k). Calculate the remainder when u(5) is divided by 25.
23
Suppose -6*z + 184 - 988 = 0. Let y = -119 - z. Calculate the remainder when 73 is divided by y.
13
Let x(r) = -r**3 + 41*r**2 - 76*r - 53. Calculate the remainder when 193 is divided by x(39).
18
Suppose 4*h = 63 + 5. Suppose 6 = 10*t - 8*t. What is the remainder when ((-392)/(-12))/(2/t) is divided by h?
15
Let k(w) = -w**3 + w**2 - w + 2. Let j be k(-4). Let u = -59 + j. What is the remainder when u is divided by 7?
6
Let p(b) be the second derivative of -b**3/2 + b**2/2 + 10*b. Let c be p(-1). Suppose -11 - 5 = -c*n. Calculate the remainder when 7 is divided by n.
3
Suppose 0 = -10*w + 21*w - 550. Calculate the remainder when 75 is divided by w.
25
Suppose 0 = 10*x - 11*x + 48. What is the remainder when 236 is divided by x?
44
Let y be (-4)/(-20) + (-36)/(-20). Suppose -y = v, -60 = -0*t - 4*t - 2*v. What is the remainder when 45 is divided by t?
13
Let i = 5 + -13. Suppose -5*b = -2*s - 90, 3*b - s - 55 = -0*b. Let x = i + b. What is the remainder when 33 is divided by x?
9
Let a(o) = 2*o**3 + 7*o**2 + 6*o + 14. Let h(m) = 6*m + 1. Calculate the remainder when h(6) is divided by a(-3).
2
Suppose 3*s = -4*i + 20, s - 4*i = -3*s + 8. Suppose -m - 1 = -3*j, -s*j = 2*m - 5*j - 18. What is the remainder when m is divided by 8?
3
Let m(x) be the first derivative of -x**4/4 + 2*x**3/3 + x**2/2 - 1. Let j be m(2). Suppose 4*n - 18 = j*n. What is the remainder when 17 is divided by n?
8
Let g(t) = 2*t + 37. Let r be g(-24). What is the remainder when 72 is divided by 76/5 - r/(-55)?
12
Suppose 290 = z + z. Let s = 1547 + -1541. Suppose s*p - p - z = 0. Calculate the remainder when 57 is divided by p.
28
Let i(g) = -17*g + 9. Let p be i(6). Let m = 169 + p. Suppose -2*h - 50 = -3*f, -4*h - m = -4*f + h. Calculate the remainder when 67 is divided by f.
11
Suppose -14*m + 10*m + 112 = 0. What is the remainder when 165 is divided by m?
25
What is the remainder when (-3348)/(-12) + (-2 - (-4 - -1)) is divided by 90?
10
Let q(v) = 11*v - 681. What is the remainder when 1751 is divided by q(63)?
11
Let u = 52 + -44. Calculate the remainder when 30 is divided by u.
6
Let v = -58 - 