uppose -4*v + 3 = n + 6, 0 = -v - 3. Calculate the remainder when 9 is divided by 2/n + 128/72.
1
What is the remainder when (81/(-15) - -5)/(8/(-2020)) is divided by 52?
49
Suppose 2*v + v = 4*j - 12, -4*j + 12 = -v. Suppose 2*g + 5*m - 4 = 26, 2*g - 5*m + 10 = 0. What is the remainder when (55 - -2)/j - 1 is divided by g?
3
Suppose -3*m + i + 50 = 0, -m + 34 = -5*i + 9*i. What is the remainder when 70 is divided by m?
16
Let k(w) = w**2 + 7*w - 2. Calculate the remainder when k(-20) is divided by 20.
18
Suppose k = 4*j - 180, 38 + 58 = 2*j - 2*k. What is the remainder when 212 is divided by j?
36
Suppose -5*y = 3*i + 325, 5*i - 322 = 5*y + 3. Let r = y + 72. Suppose 0*g = -g + 19. What is the remainder when g is divided by r?
5
Suppose -6*s - 147 + 693 = 0. Let y = 193 - s. What is the remainder when y is divided by 26?
24
Calculate the remainder when 65 is divided by 1*21*(2 + 2 - 3).
2
Let l(h) = -2*h**3 - 3*h**2 - 2*h - 2. Let b be l(-2). Let p(z) = z**2 - 4*z + 12. Calculate the remainder when 95 is divided by p(b).
23
Suppose 4229 - 12923 = -27*z. What is the remainder when z is divided by 27?
25
Suppose -5*p + 7*p = 4. Suppose i - m + 39 = 3*i, 3*i = -p*m + 61. Suppose -2*c = 2*o - 66, 3*o - 2*c - 62 = o. Calculate the remainder when o is divided by i.
15
Let i(v) = v - 5*v - 3*v - 7*v - 19. Calculate the remainder when i(-5) is divided by 2*(-2)/4 + 28.
24
Let i(v) = -v**3 - 9*v**2 - 5*v. Let h be i(-9). Suppose h*l - 44*l = 5. Calculate the remainder when l is divided by 3.
2
Suppose -103 = -13*j + 144. Suppose 4*t - 2*o = 103 + 109, 0 = 4*t - 3*o - 210. Calculate the remainder when t is divided by j.
16
What is the remainder when 12 is divided by 2/((-4)/(-5))*2?
2
Suppose 2*p - 19 = 3*l, 4*l + 0 = -12. Suppose p*j = 6*j - 32. Let s = j - 21. Calculate the remainder when 21 is divided by s.
10
Suppose 0*i = 4*n + 4*i - 208, 0 = n - 4*i - 37. Calculate the remainder when 182 is divided by n.
35
Let o = 19 - 15. Suppose -16 = -3*y - o. Suppose l - 5 = -p, p + y*p + 4*l - 27 = 0. Calculate the remainder when 27 is divided by p.
6
Let r(k) = -8 - 31*k + 4 + 2 + 13*k. Calculate the remainder when r(-2) is divided by 18.
16
Let o be (-7 - -8)/((4/(-122))/2). Let p = o - -76. What is the remainder when 42 is divided by p?
12
Let i = 86 + -57. What is the remainder when i is divided by 204/18 - 1/3?
7
Let a = 67 + 139. Calculate the remainder when a is divided by 52.
50
Suppose -7*s + 4*k = -3*s, 4*s + 4*k = 16. Let z = -20 - -31. Calculate the remainder when (-1 + 3)*-2 + z is divided by s.
1
Suppose 34 = g - 8. Suppose -24 = -34*l + 32*l. What is the remainder when g is divided by l?
6
Let h = -218 - -227. What is the remainder when 34 is divided by h?
7
Suppose 144 = 4*b - 4*a, -4*a - a = 2*b - 100. Let g = 120 + -78. Suppose -3*n + g = -n. Calculate the remainder when b is divided by n.
19
Suppose 2*z + 2*z + i - 102 = 0, -15 = -z + 5*i. Calculate the remainder when 72 is divided by z.
22
Let f(p) = -p**3 - 19*p**2 - 37*p - 35. What is the remainder when 318 is divided by f(-17)?
14
Let x(p) = p**2 + 3*p + 4. Let t be x(0). Suppose 5*g - 2*v - 2*v = 309, 280 = t*g + 5*v. What is the remainder when g is divided by 23?
19
Suppose -d = 3*d - 4*m - 104, 5*d + 5*m = 140. What is the remainder when (-3)/(-2)*1070/15 is divided by d?
26
Let f(r) be the third derivative of -r**4/12 + 31*r**3/6 - 24*r**2. Calculate the remainder when f(-13) is divided by 10.
7
Suppose -3*l + 4*f = 2*f + 2, 21 = -4*l - f. Let g(p) = 12*p + 3. Let q be g(-9). Calculate the remainder when 26 is divided by q/(-12) - 1/l.
8
Let f = 26 + -24. Suppose 9*b - 8*b = f. Suppose -47 - 1 = -b*j. Calculate the remainder when j is divided by 13.
11
Let b(j) = 12*j + 38. Let c be b(16). Suppose 5*h - 5*o - c = 0, -3*h - 4*o + 39 + 134 = 0. Calculate the remainder when h is divided by 29.
22
Let y(a) be the first derivative of -a**4/4 - 5*a**3/3 + a**2 + 5*a + 1. Let f = 8 - -2. Calculate the remainder when y(-6) is divided by f.
9
Suppose -8 = -t + 26. Suppose -7*w = -6*w - 15. Suppose -5*f + 4*j = -59 + w, 4*f - 40 = 2*j. Calculate the remainder when t is divided by f.
10
Let m(a) be the third derivative of a**4/24 + a**3/2 + 4*a**2. What is the remainder when 16 is divided by m(3)?
4
Suppose -5*o - 3*h + 168 = -119, -39 = -o + 4*h. Let s = 44 - 22. Suppose 0*b + 3*b - 5*c = s, -2*b + 32 = c. What is the remainder when o is divided by b?
13
Let z be (2 - -1 - 0) + 120. Suppose 2*i - 50 = -4*t, -t - 7 = 5*i - z. What is the remainder when i is divided by 13?
10
Let j = -4 - -4. Suppose 0 = -2*s + s + 52. Suppose 4*v = -j*v + s. Calculate the remainder when v is divided by 7.
6
Let n be 3 + 0 + -2 - 14. Let h = -10 - n. Suppose 30 = -x + h*x. What is the remainder when 27 is divided by x?
12
Suppose 2*j + 5*s - 131 = 0, -2*j + 244 = 2*j + 4*s. What is the remainder when 286 is divided by j?
54
Let k be 34/3*(-3 + 378/12). Suppose 4*a + 424 = 4*s, 2*a - k = -2*s - s. What is the remainder when s is divided by 12?
11
Let x(a) = 49*a - 1. Let k be ((-1)/2)/(2/(-8)). Calculate the remainder when x(k) is divided by 20.
17
Let s = -2812 - -3001. What is the remainder when s is divided by 8?
5
Let r(i) = -i**3 + 4*i**2 + 2*i - 4. Let a be r(4). Suppose -k + a = -8. What is the remainder when 143/(-26)*(0 - 6) is divided by k?
9
Let l = -19 + 18. Let h = l - -8. Let f = 0 + 5. What is the remainder when h is divided by f?
2
Suppose 21 = t + 4*s - 21, 0 = -4*t - s + 228. Suppose -3*u - 47 - t = -v, -u + 315 = 3*v. What is the remainder when v is divided by 18?
15
What is the remainder when 956 is divided by (2720/28)/4 - (-8)/(-28)?
20
Let t = -63 - 24. Let z = 48 + t. Let r = -18 - z. Calculate the remainder when r is divided by 6.
3
Let m(i) = -2*i**2 + 12*i. Let n be m(6). Suppose 2*q - 100 = -4*t + q, n = t - 2*q - 16. What is the remainder when t is divided by 9?
6
Let v = -2893 + 4366. Calculate the remainder when v is divided by 67.
66
Let r(v) = v**2 - 3*v - 7. Suppose -a = -3*a. Suppose w + 6 = 3*h, -12 = -5*h - a*w + w. Calculate the remainder when r(5) is divided by h.
0
Let g = 14 - -2. Let u = 12 + -3. Calculate the remainder when g is divided by u.
7
Let c = -1878 - -1899. Let u(m) = -8*m**3 + m**2 - 1. What is the remainder when c is divided by u(-1)?
5
Suppose 0 = -2*l, 2*l + 20 = -5*p - 0*l. What is the remainder when 109 is divided by 74*(-6)/(-16)*p/(-3)?
35
Suppose -498*z + 502*z - 48 = 0. What is the remainder when 58 is divided by z?
10
Suppose s = 0, 2*w - 255 = -2*s - 39. Calculate the remainder when w is divided by 40.
28
Let i(c) = c**3 - 9*c**2 + 15*c - 7. Calculate the remainder when 165 is divided by i(8).
18
Calculate the remainder when 160/(-12)*(-84)/35 is divided by 7.
4
Let m(o) = o**3 - 7*o**2 + 15*o - 169. What is the remainder when 90 is divided by m(8)?
0
Suppose r + 66 = -2*v, 0 = -r - 2*v - 2*v - 58. Let z = r - -95. What is the remainder when 79 is divided by z?
16
Suppose -2 = -4*m + 3*f + 10, -2*m - 5*f = -6. Suppose -i + 5*s + 6 = 0, -4*i - m*s + 4 = 3. What is the remainder when (-436)/(-12) + i/(-3) is divided by 13?
10
Suppose -194 = -2*u - 3*g, 3*g + 439 = 3*u + 163. Calculate the remainder when u is divided by 28.
10
Let s(a) = 3*a**3 + 6*a**2 - 4*a + 8. Let q be s(-5). Calculate the remainder when -2 - (q + (5 - 3)) is divided by 49.
46
Let g(j) = -798*j - 33. What is the remainder when g(-1) is divided by 70?
65
Let b be 13/5 + 6/(-10). Let n = 7 - b. Suppose n*p + 0*k - 113 = 4*k, 91 = 4*p - 3*k. What is the remainder when p is divided by 7?
4
Suppose 5*m = -l + m + 34, -92 = -4*l - 5*m. Suppose 0 = -r - r - l. What is the remainder when 10 is divided by 136/36 + (-2)/r?
2
Suppose 4*x - 3*g - 20 = 0, -3*x + g + 16 = -g. Suppose z - 12 + 0 = 0. What is the remainder when z is divided by x?
4
Suppose -1 + 90 = i - 3*k, 2*i + 3*k = 160. Calculate the remainder when i is divided by 19.
7
Let p be -18 - 0 - (0 + -3). Let r = -11 + p. Let g = -16 - r. What is the remainder when 29 is divided by g?
9
Let u(d) = d**3 + 7*d**2 + 6*d + 2. Let s = 11 + -19. Calculate the remainder when s*(-1 - (10 + -3)) is divided by u(-5).
20
Let d be (12/(-8))/(15/(-20)). Suppose 2*r + d*r = -5*i + 31, -4*i = r - 16. What is the remainder when 4 is divided