 4*p - 68, -3*p = p + 3*g - 96. Calculate the remainder when 62 is divided by p.
20
Suppose 0*a - 10 = -5*a. Let g = -4 + a. Let n(f) = -2*f**3 - 3*f**2 + f + 2. Calculate the remainder when n(g) is divided by 3.
1
Let w = 7 - 5. Suppose g = 3*l + 7, -3*g - 3*l = w*g - 17. What is the remainder when 15 is divided by g?
3
Suppose -2 = -2*z - 0*z. Let j = 7 - z. What is the remainder when 10 is divided by j?
4
Suppose 3*n - 2*h - 155 = 0, 5*h - 199 = -7*n + 3*n. What is the remainder when n is divided by 13?
12
Suppose 0 = -4*a + 3*r + 53 + 86, -2*a = r - 57. Calculate the remainder when 185 is divided by a.
30
Let k(w) = w**3 - 7*w**2 + w + 10. Let g(j) = j**3 - 12*j**2 + 2*j + 8. Calculate the remainder when g(12) is divided by k(7).
15
Suppose -v + 1 - 5 = 0. Let s = v + 7. Let w(p) = -3*p - 2. Calculate the remainder when w(-2) is divided by s.
1
Let l be (1 - 0)*(2 + -1). Suppose -2*z - 1 = -s + l, 3*s = z + 26. Calculate the remainder when s is divided by 6.
4
Let s be ((-3)/2)/(-1)*2. Suppose 30 = 2*z + s*z. What is the remainder when 15 is divided by z?
3
Let y(a) = 19*a**3 + a**2 - 5*a + 5. What is the remainder when y(2) is divided by 38?
37
Suppose -5*q = -46 + 1. Let r = 50 + -25. What is the remainder when r is divided by q?
7
Suppose 4*a + l + 56 = 375, 225 = 3*a - 4*l. Calculate the remainder when a is divided by 20.
19
Let y(j) = j**2 + 8*j + 7. Let s be y(-7). Suppose -4*l + 55 + 41 = s. Suppose -z = 2*z - l. Calculate the remainder when z is divided by 5.
3
Suppose 0*k = 5*o + 4*k + 41, -k = 2*o + 17. Let s(w) = w**2 + 6*w - 7. What is the remainder when s(o) is divided by 7?
6
Let d(i) = -i**3 - 2*i**2 - 5*i. Let h be d(-4). Let g be 0/(2 - -1) + -29. Let y = g + h. What is the remainder when 45 is divided by y?
22
Let o(u) = 1. Let z(c) = c - 20. Let y(h) = -2*o(h) - z(h). Let j = -26 + 52. Calculate the remainder when j is divided by y(9).
8
Let k = 108 + -98. Calculate the remainder when 19 is divided by k.
9
Let b = 33 - 4. Let s = 252 - 168. Calculate the remainder when s is divided by b.
26
Suppose 0 = 22*s - 19*s - 36. Calculate the remainder when -5 - -4 - (-21 + -1) is divided by s.
9
Let k be 3/(1 + 2) + 8. Suppose -3*s + k = 3. Suppose 3 = s*q - q. What is the remainder when 8 is divided by q?
2
Let m = 79 - 56. Suppose -m = -2*x + 19. Calculate the remainder when x is divided by 11.
10
Let n = -7 + 9. Suppose 5*y = -n*z + 59, -2*y = -5*y - z + 35. What is the remainder when 18 is divided by y?
7
Suppose 4*d - 4 = -5*b, -b - 5*d - 28 = -3*b. Suppose b*h - 8 - 16 = 0. Calculate the remainder when 10 is divided by h.
4
Suppose -2*t + 0*t = -10, 4*g - 2*t = -22. Let a be 0 + 30 - (-4 - g). Let x = a - 19. Calculate the remainder when 35 is divided by x.
11
Let b be 3/(5 - 2) + 23. Suppose 4*h = -4*n + 32, -2*n + 4*n - b = 2*h. Let y(i) = -i**3 + 4*i + 2. Calculate the remainder when y(-3) is divided by n.
7
Let a(r) = r**3 - 28*r**2 + 52*r + 16. Let c(g) = 23*g + 1. Suppose -b = -l - 6, -2*b + 8 = -6*b - 4*l. What is the remainder when c(b) is divided by a(26)?
15
Suppose -4*d = -24 - 12. Calculate the remainder when 17 is divided by d.
8
Let l(b) = 0*b**2 + 5*b**2 - 8*b - 6 - b**2 + 1. Let w be l(-5). Suppose 4*t = -t + w. Calculate the remainder when t is divided by 10.
7
Suppose q - 4*q + 156 = 0. What is the remainder when q is divided by 18?
16
Calculate the remainder when 28 + 6*5/(-10) is divided by 10.
5
Let v(j) = -j**3 + 9*j**2 + 5. Let d be v(9). Suppose -4*t + g = -35, -4*t - d + 34 = g. Calculate the remainder when t is divided by 5.
3
What is the remainder when (-6)/(-15) - (-196)/10 is divided by 11?
9
Suppose -6*h + 67 = -47. Let i = h + -7. What is the remainder when i is divided by 7?
5
Let c be 10/(-6)*(-5 - -2). Suppose 4*y + c*a - 2*a - 9 = 0, -y + 1 = a. Let g = y + 0. What is the remainder when 11 is divided by g?
5
Let a(l) = -l**2 - 11*l - 10. Let b be a(-9). Suppose -3*y + b*y + 10 = -5*r, 4*r - y = 12. What is the remainder when 11 is divided by 2 + (r - (1 + -1))?
3
Suppose 38 = -5*b + 98. Calculate the remainder when 3/6 - (-67)/2 is divided by b.
10
Suppose -9 = 3*j - 24. Suppose 0 = w - 3*v + 5, 4*w - j*v + 0*v = 15. Calculate the remainder when 19 is divided by w.
9
Let w(v) = 2*v**2 - 5*v - 5. Suppose 51 = 12*f - 33. What is the remainder when w(5) is divided by f?
6
Suppose -l + v + 8 = 5*v, 0 = -l + 4*v + 16. Suppose 2*o - 6*o + l = 0. What is the remainder when o/(-3 - 66/(-21)) is divided by 11?
10
Let l(r) = 22*r + 5. What is the remainder when l(4) is divided by 12?
9
Let x = -3 + 5. What is the remainder when 1 + -1 + 19 - x is divided by 9?
8
Suppose 5*h - 2*c - 457 = 0, -147 = -3*h - 5*c + 121. Suppose -k + 3*t = -13 - 22, 0 = -3*k - 5*t + h. What is the remainder when k is divided by 11?
10
Let s(f) = -2*f**3 - 2. What is the remainder when 53 is divided by s(-2)?
11
Let v = -154 + 275. Calculate the remainder when v is divided by 31.
28
Suppose -30 + 0 = -5*p. Let w(a) = -2*a + 4. What is the remainder when w(-6) is divided by p?
4
Suppose -2*k = 3*k - 60. Let v = 41 + -19. What is the remainder when v is divided by k?
10
Suppose -8 = 5*w - 3. Let a = -2 + w. Let k = a + 5. What is the remainder when 4 is divided by k?
0
Suppose 2*q + 0*q + 3*a + 5 = 0, 0 = 5*q - 3*a - 40. Suppose 0*w - w + 5 = 0. Let i = w + -3. Calculate the remainder when q is divided by i.
1
Let w = -83 - -85. Calculate the remainder when 2 is divided by w.
0
Let i be 484/6 + 4/(-6). Suppose 3*u - i = -2*u. What is the remainder when 62 is divided by u?
14
Suppose 138 = 2*m + 32. What is the remainder when m is divided by 18?
17
Let f = 28 - -13. Let d = f - 8. Suppose -3*w + 0*w = -d. What is the remainder when w is divided by 6?
5
Suppose -6*m = -2*m - 5*z - 368, -z + 257 = 3*m. What is the remainder when m is divided by 22?
21
Suppose -4*b + n = -45, n + 4 = -b + 14. Suppose -141 = -3*x + s, 0 = -x + 3*s + 66 - b. Let f = 25 + -9. Calculate the remainder when x is divided by f.
14
Suppose 123 - 48 = 5*p. Let u(a) = 34*a + 6. Let y be u(5). Suppose 3*k - 7*k = -y. Calculate the remainder when k is divided by p.
14
Let m be ((-24)/(-20))/(6/20). Let l = 0 - m. Let o(f) = -4*f - 4. Calculate the remainder when o(l) is divided by 7.
5
Suppose y - 17 = 5*w + 2*y, -4*y - 14 = 2*w. Let l(b) = -5*b - 1. What is the remainder when l(w) is divided by 8?
6
Let w(j) = -j**2 - 5*j - 3. What is the remainder when 26 is divided by w(-3)?
2
Suppose -3*x + 490 = -8*x. What is the remainder when 35/(-21) + (-194)/(-3) + -5 is divided by (-4)/(-10) + x/(-5)?
18
Let j = -4 - -7. Let i = -1 + j. Suppose -i*f + 4*f = 10. Calculate the remainder when f is divided by 3.
2
Let a be 28/(-1) - -2 - 1. Let b = 10 - 23. Let r = b - a. What is the remainder when 26 is divided by r?
12
Let k be 3 + ((-6)/(-1))/(-2). Suppose k = -2*x - x + 66. What is the remainder when x is divided by 6?
4
Let w(d) = -d**2 - 7*d - 7. Calculate the remainder when 33 is divided by w(-3).
3
Suppose -56 = -4*q - i - 3*i, 0 = -q - 4*i + 20. Let p(s) = s**3 + 5*s**2 + 3*s - 3. Calculate the remainder when -33*2/q*-2 is divided by p(-3).
5
Let d = -7 - -4. Let o = d + 6. What is the remainder when 8 is divided by o?
2
Suppose -2*t - r + 13 = -11, -3*r = 5*t - 58. Let w(h) be the first derivative of -3*h**2/2 - 13*h - 1. Calculate the remainder when w(-13) is divided by t.
12
Let y(n) = 77*n**3 + n**2 + 2*n - 2. What is the remainder when y(1) is divided by (-472)/(-24) - 2/(-6)?
18
Suppose -27 = -2*j + 3*d + 51, 2*d = -5*j + 176. Suppose 3*z + 0*z - 50 = w, -2*z + j = -2*w. What is the remainder when 47 is divided by z?
15
Suppose -4*s + 1 + 7 = 0. What is the remainder when 49 is divided by ((-1)/s + 0)*-34?
15
Suppose -4*d = -c, -2*d + 2*c - 3 = 3. Let l = d + 3. Suppose -2*r - 3*s + 46 = 0, l*r - 5*s - 70 = -0*s. What is the remainder when r is divided by 7?
6
Suppose -24*p + 19*p + 50 = 0. What is the remainder when 47 is divided by p?
7
Suppose -n = 3*r - 108, -2*n + 54 = 3*r - 51. What is the remainder when 72 is divided by r?
35
Let r be 4 - (-3 - -6) - -1. Suppose -5*w = r*o - 5, 2 = 2*w + 3*o - o. Calculate the remainder when 1 is divided by w.
0
Let y be 0/(-3) + 4/(-2). Calculate the remainder when -4 - 12/(-1 + 0) is divided by 1*(0 - y - 