remainder when n is divided by 14?
11
Suppose p - 5*p - 3*o + 2 = 0, o = 2*p - 6. Suppose 0 = 5*m - 3 - 2, 0 = r + 5*m + 4. Let f = 16 + r. Calculate the remainder when f is divided by p.
1
Calculate the remainder when 281 is divided by 6 + (-460)/70 + 522/7.
59
Let a(g) = -4*g**2 + 4. Let y be a(-2). What is the remainder when y/15 - 78/(-10) is divided by 5?
2
Calculate the remainder when 123 is divided by (-3)/(-1)*-1 + 65.
61
Let d = -13 + 16. Suppose d*t = 34 + 260. What is the remainder when t is divided by 20?
18
Let n(q) be the third derivative of -q**6/60 - q**5/15 + q**4/24 + 2*q**3/3 - 10*q**2. What is the remainder when (-2)/3 + (0 - (-218)/3) is divided by n(-3)?
15
Suppose 5*m = 4*a + 142, 4*a - a = -5*m + 156. Calculate the remainder when m is divided by 0 + 1/(-1) + 17.
14
Let f(q) = q**3 + q**2 + 4. Let b be f(-3). Let x(h) = h**3 + 13*h**2 - 16*h - 6. What is the remainder when 107 is divided by x(b)?
19
Suppose 0 = 5*j + 12 - 22. Suppose 0 = j*x - 3*z - 207, -4*z = -x + z + 107. What is the remainder when x is divided by 18?
12
What is the remainder when 14/(-42)*(-2 + -442) is divided by 15?
13
Suppose 15*p + 448 = 2113. What is the remainder when p is divided by 15?
6
What is the remainder when 88368/(-448)*(14/(-6) - -1) is divided by 15?
8
Suppose -4*v - 3*j = 2*j - 28, -18 = -3*v - 3*j. Suppose 14 = v*p + 2*w, p + 4*p - 19 = -w. What is the remainder when 20 is divided by p?
2
Let x = -8 + 21. Let w = 28 + 43. Let k = 79 - w. What is the remainder when x is divided by k?
5
Let z(d) = d**3 + 32*d**2 - 5*d - 113. What is the remainder when z(-32) is divided by 11?
3
Calculate the remainder when (26271/(-14))/(-27) + 3/2 is divided by 5.
1
Let j(p) = -2*p - 9. Let c be j(-6). Let b(q) = c + q + 9 + 9 - 5. Calculate the remainder when 81 is divided by b(12).
25
Let x be 7/((-7)/18)*58/(-4). Suppose -4*d - x = -13*d. What is the remainder when d is divided by 15?
14
Let s(k) = -2*k + 10. Suppose 0 = -96*z + 72*z + 1848. Calculate the remainder when z is divided by s(-8).
25
Let h(t) = 3*t + 1 + t - 5*t. Let m be h(-5). What is the remainder when 27 is divided by ((-4)/m)/((-2)/30)?
7
Suppose 112 = 5*k + 7. What is the remainder when 164*(-9)/24*-2 is divided by k?
18
Suppose -8 = 4*s + 5*r, s - 4*r = -0*s + 19. What is the remainder when 18 is divided by s?
0
Suppose m - 34 = 5*d + 18, 0 = 4*m + 3*d - 93. Suppose -9*i - 47 = -12*i - v, -2 = 2*v. What is the remainder when m is divided by i?
11
Let j = -160 + 182. What is the remainder when 128 is divided by j?
18
Let a be 201/6 + 1 + (-2)/(-4). Suppose -u + a - 4 = 0. Calculate the remainder when u is divided by 12.
7
Let y = -5 - -3. What is the remainder when (-2 - y/2) + 75 is divided by 19*(-1)/(-4)*4?
17
Let l be ((-78)/(-5))/(1/(-5)). Let t = -67 - l. What is the remainder when 19 is divided by t?
8
Suppose 0 = -x + 11 - 4. Suppose 16*o - 338 = 94. What is the remainder when o is divided by x?
6
Suppose -9*s - 3250 = -22*s. What is the remainder when s is divided by 14?
12
Calculate the remainder when 364 is divided by 6/((-360)/(-4515)) - (-6)/8.
60
Suppose 0 = -4*f - b + 65, -116 + 96 = -4*b. Calculate the remainder when 103 is divided by f.
13
Calculate the remainder when (-1)/((3/(-9714))/(6/12)) is divided by 135.
134
Suppose -13*t + 363 = 5*c, c + 33*t - 75 = 28*t. Let i = -1 - -33. Let v = i + -14. Calculate the remainder when c is divided by v.
16
Suppose -40*r - 71 = -5*k - 41*r, -r - 64 = -4*k. What is the remainder when 77 is divided by k?
2
Let x = 48 + 74. Suppose x = 5*a - 578. What is the remainder when a is divided by 29?
24
Suppose 0 = 3*f - 2*f + 1, 0 = 5*h + 3*f - 17. Suppose 4*g + 16 = h*d, 0 = -5*d + g - 6 + 26. What is the remainder when 25 is divided by d?
1
Let n be ((-23)/4)/((-2)/(-8)). Suppose 5*i + 146 = 356. Let g = n + i. Calculate the remainder when 73 is divided by g.
16
Let y(q) be the second derivative of q**5/20 + q**4/3 - q**3/6 - 11*q + 1. Calculate the remainder when 86/6 + (-4)/(-6) is divided by y(-4).
3
Let f(v) = 8*v - 30. Calculate the remainder when f(24) is divided by 34.
26
Let f(r) = 12*r + 13. Let w be f(-9). Let l = 121 - w. Suppose 3*p - 118 = -b, 2*b + 3*p - p = l. What is the remainder when b is divided by 35?
33
Let x be (18 + -19)*(-1 + 4 + 0). What is the remainder when 76 is divided by 10 + 1/1 - (x + 4)?
6
Let u(r) = r**3 + 13*r**2 + 2*r - 2. Let a(f) = -f**2 - f. Let v(z) = 6*a(z) + u(z). Let y = -29 - -43. Calculate the remainder when v(-7) is divided by y.
12
Let f be (-6)/21 + 158/14. Suppose f = 3*m + 2. Suppose m*n - 31 = -2*p, -5*n + 29 = 2*p - 24. What is the remainder when 21 is divided by n?
10
Suppose -o + 0 = 3*s + 8, -4*o + s + 20 = 0. Let n(l) = l**2 + 13*l + 5. Let q be n(-9). Let h = -16 - q. Calculate the remainder when h is divided by o.
3
Suppose -2*p = -5*s - 162, -p = -5*p - s + 302. Calculate the remainder when p is divided by 27/(-12)*(9/6 - (-650)/(-156)).
4
Calculate the remainder when 206 is divided by -4*(-4)/32*(-1 + 47).
22
Let t be (-3)/(-1 + -3 + 3). Suppose -t*k = 2*g - g - 26, 0 = -5*g - 2*k + 195. Let j = 95 - g. What is the remainder when j is divided by 14?
12
Suppose d - 2 = 12. Let s = -2343 - -2395. Calculate the remainder when s is divided by d.
10
Suppose 5*p - 4*n = -n + 9, 4*p + 4*n + 12 = 0. Suppose -5*l - 321 + 851 = p. Suppose -l + 22 = -4*m. What is the remainder when 40 is divided by m?
19
Suppose 16*d - 6 - 10 = 0. Let k(g) = g**3 + 4*g**2 - 4*g + 5. Let p be k(-5). Let x = p + d. What is the remainder when x is divided by 1?
0
Suppose -101 = -3*a + a - b, 20 = -4*b. What is the remainder when a is divided by 19?
15
Suppose -16 = -4*q - 5*b + b, 7 = 3*q - 2*b. Let s = -5 + 7. Suppose -6 = q*y - 3*n, 0 = 3*y - 4*y + s*n - 7. Calculate the remainder when 9 is divided by y.
0
Let g be (194/8)/((-4)/(-16)). Suppose 2*r + 2*r - 3*y - 107 = 0, -4*r + y = -g. What is the remainder when r is divided by 9?
5
Suppose 3*k = 6*k. Suppose -2*j + 0*f + 16 = 4*f, k = -3*j + 3*f + 6. Calculate the remainder when 11 is divided by j.
3
Let b = -155 + 255. Suppose 20*g - 9 = 19*g. Suppose -g*f = -5*f - b. What is the remainder when 73 is divided by f?
23
What is the remainder when 272 + 1 + (-2 - -24)/11 is divided by 31?
27
Suppose 72 = 4*m - 10*m. Let y be (-1)/3 + (-544)/m. Suppose 36 = -41*q + y*q. What is the remainder when 44 is divided by q?
8
Suppose -5*j - 4*i + 11 = -44, 12 = j + i. Let l(v) = v**3 - 7*v**2 + 2*v. Suppose 79*p = 99*p - 780. Calculate the remainder when p is divided by l(j).
11
Suppose 0 = -3*y + 2*y + 5. Let h(l) be the first derivative of -2*l**2 + 6*l - 4. What is the remainder when h(-3) is divided by y?
3
Let u(p) = p**3 - 7*p**2 - 4*p - 9. Let z be u(6). Let d = z + 106. Suppose 0 = -2*w + w + d. Calculate the remainder when w is divided by 8.
5
Let p(h) = -h**2 - 2*h - 2. Let w(c) = c**2 + 3*c + 2. Let r(x) = 3*p(x) + 4*w(x). Let u = 488 - 497. What is the remainder when r(u) is divided by 15?
14
Let q be 57/21 + 6/21 + 39. Suppose 0 = q*z - 37*z - 40. Calculate the remainder when (-46)/(-4)*2/1 is divided by z.
7
Let p(s) = -s**2 + 11*s - 16. What is the remainder when 65 is divided by p(6)?
9
Suppose 0 = -2*j + 216 - 150. Let w = -55 - -185. Calculate the remainder when w is divided by j.
31
Suppose 2*i + 2*k = 0, 4*k + 11 + 1 = 0. Let c be 1062/33 + (-4)/22. Suppose a - c = -3*a. What is the remainder when a is divided by i?
2
Let p(h) = -2*h - 2. Let m be p(-6). Calculate the remainder when (-27)/45 + 406/m is divided by 11.
7
Suppose z + 3*z + 40 = 0. Let f be 5/(z/(-4))*2. What is the remainder when 8 is divided by ((-2)/f)/((-1)/12)?
2
Let k = 23 + -20. Let b = 15 + -9. Calculate the remainder when 26 is divided by 21/(27/b - k).
12
Let a = -106 - -108. Suppose -3*j = a*z - 82 - 201, -144 = -z + j. Calculate the remainder when z is divided by 29.
27
Let c(l) = 34*l**2 - 9*l + 8. Calculate the remainder when c(1) is divided by 3.
0
Let u be (-1)/(3 + (-3 - 1)). Suppose 3*n + u = -4*f - 1, -5*f = n + 8. Calculate the remainder when n is divided by 1/3 - 4/(-6).
0
Suppose -5*k + 0 = 5*r - 890, 3*r = 4*k - 705. Calculate the remainder when ((-4)/(-12))/(1/k) is divided by 33.
26
Let f(x) be the first derivative of 2*x + 1 + 29/2*x**2. Calculat