s divided by n.
34
Let h(n) = -20*n + 695. What is the remainder when h(28) is divided by 31?
11
Suppose -13*m + 5*l = -16*m + 180, 4*l - 177 = -3*m. What is the remainder when m is divided by 37?
18
Let h = -110 - -60. Let p = -43 - h. Suppose -3*z - x + p = -3*x, x = -z + 9. Calculate the remainder when 6 is divided by z.
1
Suppose 20*f + 39 = 33*f. Suppose -f*j + 8*j = 195. Calculate the remainder when 115 is divided by j.
37
Let h(q) = 165*q - 145. What is the remainder when h(13) is divided by 75?
50
Suppose 0 = -4*w - 26850 + 26898. Calculate the remainder when 191 is divided by w.
11
Suppose 1061 = 4*o + o + s, -2*o + 425 = s. What is the remainder when o is divided by (-15 - (-444)/(-84))/(2/(-7))?
70
Suppose 3*j = -28 + 25. Let x(d) be the third derivative of -3*d**6/40 + d**5/15 + d**4/24 + 2*d**2. Calculate the remainder when 23 is divided by x(j).
11
Suppose 2*c + 349*c - 3714 = 498. What is the remainder when ((-1)/(-3))/(1/57) is divided by c?
7
Let m be 36/10*(-50)/(-30). Suppose m*a + 0 = -0. Suppose 4*t = 2*z + 190, a = 2*t - 6*t - z + 205. Calculate the remainder when t is divided by 13.
11
Suppose 15*s = 1733 + 2167. Suppose -2*z - 19 + 110 = 3*c, -5*z - c = -s. Calculate the remainder when z is divided by (-2)/3 + (-20)/(-3).
5
Let h(v) = 7*v**2 - 2*v - 16. Suppose 0 = -s - 3*c, 0 = -28*c + 24*c - 4. Calculate the remainder when 106 is divided by h(s).
24
Let c(z) = 4*z**2 - z. Let p be c(-1). Suppose 2*h + 5*o - 385 = p*h, 3*o + 3 = 0. What is the remainder when 158/5 - (-13)/(h/(-4)) is divided by 9?
5
Let q = -221 + 122. Let h be 2/(-3)*(q - 0). Suppose 3*o + h = 5*o. What is the remainder when o is divided by 9?
6
Suppose -4*b = -19*h + 203806, -6 = 2*b - 0. What is the remainder when h is divided by 6?
4
Let k be (0 - -3)*(-3)/9. Suppose 4*t - 5*s = -86, 2*s - 12*s + 1 = t. Calculate the remainder when 42 is divided by (k + 2 - -19) + (-17 - t).
20
Suppose 8*b + 16 = 12*b, 0 = -k - b + 2. Let z(u) = u + 14. What is the remainder when 1413 is divided by z(k)?
9
Let c be ((-6)/9)/(2/(-9)). Suppose -c*d + 9 = 3*j, -d = -6*d + 2*j + 29. Suppose 0 = 8*w + 3*w - 77. What is the remainder when w is divided by d?
2
Let r(j) = 116*j - 117. Calculate the remainder when r(8) is divided by 28.
27
Suppose 23*b - 3*l - 9 = 20*b, -5*b - 3*l = -23. Suppose -c + 4*h + 48 = 4*c, b*h = -c. Calculate the remainder when 29 is divided by c.
5
Suppose 32*v + 7222 = 42838. Calculate the remainder when v is divided by 26.
21
Let m(z) = -1 - 8 - 2 - 4*z - 24*z + 2. Calculate the remainder when m(-4) is divided by 22.
15
Let n(f) = -f**3 - 10*f**2 - 87*f - 791. Calculate the remainder when n(-10) is divided by 25.
4
Let s(u) = -2*u**2 + 97*u - 138. Let d be s(47). Suppose 3*r - 33 = -y, -3*r + 0 - d = -y. Let l = -291 + 433. What is the remainder when l is divided by y?
16
Let y(u) = -31*u + 2368. What is the remainder when 1424 is divided by y(31)?
17
Let o be 9*(9/(-6))/((-18)/8). Suppose 5*n = o*n + 3*m - 180, -5*n + 951 = -2*m. Calculate the remainder when n is divided by 38.
37
Suppose -67*g + 70*g - 142 = -n, 20*g + 4*n - 968 = 0. Let u(b) = 2*b**2 + 2*b - 4. Calculate the remainder when g is divided by u(-4).
10
Let t be (4 + -1 - 1) + 0. Let f(q) = 24*q + 998. Let b be f(-41). Suppose -71 = -4*h + 5*j, -5*j - 1 + b = t*h. Calculate the remainder when h is divided by 6.
2
Let y = 212 - 44. Let r = y + -161. Calculate the remainder when 3/1*(-46)/(-6) is divided by r.
2
Suppose 5*x - 16*x + 12*x = 0. Suppose 0*b - 3*b - 4*u - 94 = x, 0 = -5*b + u - 126. What is the remainder when 39/b*(-148)/6 is divided by 13?
11
Suppose -79*n = -85*n + 168. Suppose -4*b = -3*b - 18. Let r = b - 7. What is the remainder when n is divided by r?
6
Let d = 186 + -102. Suppose -d = -31*f + 30*f. Suppose 0 = -16*y + f + 332. What is the remainder when 74 is divided by y?
22
Let m(q) = -23*q - 96. Let p be m(-5). Suppose -6*g + 47 = -p. Suppose 2*v + 2 = 14. What is the remainder when g is divided by v?
5
Suppose -16 = -3*w - 4*f + 5, -5*w + 2*f + 9 = 0. Suppose 0 = -i - 2*i + 297. Calculate the remainder when i is divided by (-25)/w*31/((-589)/57).
24
Let m = -13 + 22. Let l be (1 - m)/(-5 - (-6 + 2)). Calculate the remainder when 29 is divided by (l - -1) + (1 + -3 - 1).
5
Suppose -n + 25 = -b, n - 6*b + 9*b = 17. Suppose -4*p + 3*v = -55, 3*v = -2*p + 2*v + 15. Let k = p + -2. Calculate the remainder when n is divided by k.
7
Let y(v) be the second derivative of v**4/4 - 19*v**3/6 - 25*v**2/2 - v + 55. What is the remainder when y(11) is divided by 36?
21
Let h(x) = x + 8. Let i(n) = 4*n**2 - 58*n + 195. Calculate the remainder when i(4) is divided by h(8).
11
Suppose -54834 = 121*a - 1564*a. Suppose 4*d = -17 + 45. Calculate the remainder when a is divided by d.
3
What is the remainder when 2635 is divided by 630/(-36)*630/(-75)?
136
Let s(f) = -2*f**2 + 56*f + 471. What is the remainder when 232 is divided by s(33)?
91
Let b(c) = 6*c**2. Let u be b(-2). Suppose q - 6 = -47*k + 43*k, 0 = 2*q - 4*k - u. What is the remainder when 63 is divided by q?
3
Let d(o) = -440*o + 1073. Let t = 54 - 5. Calculate the remainder when d(2) is divided by t.
46
Suppose 3*q = 2*y - 152, -18*y + 20*y = -q + 144. What is the remainder when 455 is divided by y?
17
Let o(b) = -b**2 - 18*b + 635. Calculate the remainder when 2082 is divided by o(17).
2
Suppose -1288 = -2236*k + 2190*k. What is the remainder when 22706 is divided by k?
26
Suppose -3*a + 16 = a, -2*i - 24 = 3*a. Let j(l) = l**2 + 29*l + 1. Let m be j(i). Let b = -136 - m. What is the remainder when b is divided by 9?
7
Suppose -98 = 5*o + 17. Let l = 37 + o. Let v = 23 - 14. Calculate the remainder when l is divided by v.
5
Suppose 22*p - 27*p + 144 = 2*x, -x + p = -58. Calculate the remainder when 1486 is divided by x.
60
Let f be (-5 + -3)*13/(-26). Let q(h) = -18*h + 3. Calculate the remainder when q(-9) is divided by (-2)/(-3)*66/f + 1.
9
Suppose -63*n - 293 = -923. What is the remainder when 46 is divided by n?
6
Suppose 0 = -5*y - 4*f - f + 70, -3*y - f + 38 = 0. Calculate the remainder when 62 is divided by (-30)/(-40) + 267/y.
16
Suppose 12*d - 524 - 1036 = 0. Calculate the remainder when d is divided by (9 - (-4 - -3))*3.
10
Suppose 22 = 2*a + 4*b, -a + 5*a - 2*b - 54 = 0. Suppose -5*i = a*i - 2862. Calculate the remainder when i is divided by 33.
27
Let w(b) = -1829*b - 12420. Suppose 11 + 185 = 2*i. What is the remainder when w(-7) is divided by i?
89
Suppose -54*c + 160 = -53*c. Suppose -2*v + 4*l = -c, -3*v + 4*l + 196 = 9*l. What is the remainder when v is divided by 28?
16
Let c(f) = -f**3 - 16*f**2 - 15*f - 23. Suppose 0 = 5*p - 11*p - 96. Calculate the remainder when c(p) is divided by 44.
41
Let l = 2915 + -2775. What is the remainder when l is divided by 34?
4
Let k = 5977 + -4991. What is the remainder when k is divided by 26?
24
Suppose 0 = 13*a - 17*a. Let j = -2 - a. Let q(l) = -2*l - 2. Calculate the remainder when 6 is divided by q(j).
0
Let j = -38 - -46. Let g = j - -7. What is the remainder when g is divided by (-8)/(-20)*(-1 + 26) - -1?
4
Suppose 45*m - 13*m - 160 = 0. Suppose m*l - 3 = -r, 8*l + 61 = 5*r + 10*l. Calculate the remainder when 362 is divided by r.
11
Let x = 9 - 19. Let v(h) be the second derivative of h**5/20 + 5*h**4/6 - 7*h**3/6 - 17*h**2/2 - 35*h. Calculate the remainder when v(x) is divided by 19.
15
Let w = -262 + 267. Suppose -2*k = -g - k + 52, -3*k = -w*g + 250. Let z = 13 - 7. Calculate the remainder when g is divided by z.
5
Let j(n) = -n**3 + n**2 + 6*n + 5. Let o(z) = -z**3 - 4*z**2 + 11*z - 1. Let u be o(2). What is the remainder when 43 is divided by j(u)?
20
Let i = -164 + -12. Let y = i - -180. What is the remainder when 29 is divided by y?
1
Suppose 0 = -18*i + 822 + 114. Calculate the remainder when 188 is divided by i.
32
Let j = 167 + -157. Suppose -4*t = p - 95 + j, 0 = -5*t + 4*p + 80. What is the remainder when 219 is divided by t?
19
Let l = 35711 + -35674. Calculate the remainder when l is divided by 67/5 + 4/(-10).
11
Let k = 70 + -42. Let i(w) = 9*w - k - 5*w + 3*w + 1. Calculate the remainder when 40 is divided by i(7).
18
Let k(t) = -t**3 + 2*t**2 - 7*t + 292. Suppose 8 = 2*u - 38. Calculate the remainder when k(6) is divided by u.
14
Su