d/16*0 + 34 is divided by h.
10
Let d(v) = v**3 - 10*v**2 - 2*v + 8. Let n(c) = -3*c**3 + 30*c**2 + 6*c - 24. Let h(l) = 17*d(l) + 6*n(l). Calculate the remainder when 31 is divided by h(10).
7
Let l(g) = 2*g + 13. Let y(b) = -b. Let a(o) = -l(o) - 5*y(o). What is the remainder when a(10) is divided by 4?
1
Suppose -12*b + 651 = 9*b. What is the remainder when 74 is divided by b?
12
Suppose -7 = -f - 0*f + q, q = 3*f - 19. What is the remainder when 35 is divided by f?
5
Let a(s) = s**2 + 23*s - 114. Calculate the remainder when a(-36) is divided by 21.
18
Calculate the remainder when 53 is divided by (-3)/(2/(-5)*14 + 5).
3
Suppose -1118 = -18*j - 344. What is the remainder when j is divided by 24?
19
Suppose x - 32 = -2*r - 0*x, 0 = -3*r + 2*x + 41. What is the remainder when 31 + (52/39)/(1/(-3)) is divided by r?
12
Let o(l) = -3*l - 19. Let z be o(-8). Suppose 17 = a + 5*u, 0 = 5*a - a - z*u - 18. Calculate the remainder when 20 is divided by a.
6
Let w = 349 + 157. What is the remainder when w is divided by 85?
81
Let o(k) = -k**2 + 16*k + 12. Let z be o(9). Let l = z - 39. What is the remainder when (-832)/(-18) - 8/l is divided by 12?
10
Suppose g = -4*s - 0*s + 92, -2 = -2*s. Suppose 0*z + 3*c - 147 = -5*z, g = 3*z + 2*c. Calculate the remainder when 117 is divided by z.
27
Suppose 4*y - 7 = 13. Suppose 0 = -t + y*l + 12, t - 5*t + 4*l = -64. Let j = -5 + t. What is the remainder when 58 is divided by j?
10
Suppose 5*d = -l - 10, 8 = 4*l + 2*d + 2*d. Let v(b) = -b**2 + 6*b + 194. What is the remainder when v(-11) is divided by l?
2
Let q be 4/(7 - 3) - 7. Let d = q + -3. What is the remainder when 2/d + 1275/27 is divided by 12?
11
Let b(h) = -3*h + 33. Let p(j) = -2*j + 4. Let x be p(2). Calculate the remainder when 163 is divided by b(x).
31
Suppose -l + 6*l + 1 = -2*w, 0 = 2*w - 4*l - 26. Suppose 3*f - 45 = -4*k, -7452*f + 7451*f - 23 = -5*k. What is the remainder when w is divided by k?
1
Let z(p) = p. Let k be z(5). Let o(g) = 3*g - g + k*g - 2 - 9*g. What is the remainder when 29 is divided by o(-5)?
5
Suppose -12*r + 17*r + 10 = 0. Let b = -13 + 48. What is the remainder when 103*(-3 - r)*(3 - 4) is divided by b?
33
Suppose 5*s + 50 = 2*h - 33, 2*h + 5*s - 113 = 0. What is the remainder when 267 is divided by h?
22
Let p(f) = -f**3 - f - 23. Let d be p(0). Let n = 41 + d. Calculate the remainder when (-4)/(-3)*(-507)/(-13) is divided by n.
16
Let y = -28 + 32. Suppose 5*n = 36 + y. Calculate the remainder when 27 is divided by n.
3
Let f(k) = -k**2 + 34*k - 5. Calculate the remainder when f(32) is divided by 12.
11
Let c = -12 - -18. Calculate the remainder when 17 is divided by c/21 + 120/21.
5
Let n = 1317 - 746. Calculate the remainder when n is divided by 32.
27
Let k be ((4/(-2))/(-1))/(2/36). Suppose 9*j = 21*j - k. Calculate the remainder when 20 is divided by j.
2
Suppose -180 = -5*b + 5*x, 4*b + 5*x - 104 = x. Calculate the remainder when 113 is divided by b.
20
Let l be (-3)/(-2)*636/(-18). Let i = -35 - l. Calculate the remainder when ((-1)/2)/(-1)*2 + 88 is divided by i.
17
Let h(u) = 29*u + 434. Calculate the remainder when h(7) is divided by 80.
77
Suppose 0 = 2*r + 34 - 2. Let z = r - -77. What is the remainder when z is divided by 8?
5
Let a = 2213 - 2124. What is the remainder when 431 is divided by a?
75
Let k(s) = -s**3 + 6*s - 5. Let y be k(3). Calculate the remainder when (y - -15)*(1 - -89) is divided by 31.
28
Suppose 175 - 1097 = -5*o - t, 5*t + 755 = 4*o. What is the remainder when o is divided by 21?
17
Suppose 2*y = -2*y + 8. Let f be (33/(-22))/((-1)/y). Let a = 57 - f. What is the remainder when a is divided by 14?
12
Let z(y) be the second derivative of y**4/12 - y**3/3 + 8*y. Let j be z(0). Suppose j = -5*n + 3*n + 16. Calculate the remainder when 31 is divided by n.
7
Let d = -931 - -1033. What is the remainder when d is divided by 14?
4
Suppose -2*d - 2*z + 16 = -4*z, -20 = -3*d + 2*z. Suppose 40 = -d*l - 0*l. Calculate the remainder when 42 is divided by 2/l + 532/35.
12
Suppose 26 = v + 28, 3*v = -3*n + 54. What is the remainder when 36 is divided by n?
16
Calculate the remainder when 57 + 1*(-4)/(-2) is divided by 28 - -3 - (3 + -4 - -2).
29
Let l = 141 + -64. Calculate the remainder when 228 is divided by l.
74
Suppose 4*i = -i + 2*p + 377, 5*i - 3*p = 373. Let n(k) = 3*k - 1. What is the remainder when i is divided by n(7)?
17
Let j(s) = s**2 - 4 + 1 - 8*s + 6. Let t be j(5). Calculate the remainder when t*((-1)/(-3))/(-1) is divided by 3.
1
Suppose -3*k + 73 = -5*x, -4*k + 97 = k + 4*x. What is the remainder when 97 is divided by k?
13
Suppose -932 - 1550 = -109*c + 36*c. Let o(w) = w**3 + 8*w**2 + 5*w + 6. What is the remainder when c is divided by o(-7)?
14
Suppose -567*f + 651 = -564*f. What is the remainder when f is divided by 20?
17
Suppose -w + 36 = 5*w. Suppose 23*i - 24*i + w = 0. Calculate the remainder when 35 is divided by i.
5
Let u(r) = 2*r + 46. Let m be u(-21). Suppose -m*k - 4*b + 96 = 0, 5*k - 128 = -0*b + 3*b. What is the remainder when 122 is divided by k?
22
Suppose -3*r + 32 = -2*v - 141, 6 = 3*v. Let y(n) = -30*n**3 + n**2 + n + 1. What is the remainder when r is divided by y(-1)?
28
Let x(f) = f**2 + 3*f + 6. Let b be x(-6). Let a = -25 + b. What is the remainder when (2 - 0 - a) + 30 is divided by 9?
6
Suppose -5*d - 12 = 4*a, 4*a + 9 + 3 = 2*d. Let j be (2*14)/(a + 4). Suppose -132 = -5*g + j. Calculate the remainder when g is divided by 11.
10
Suppose 3*n - 20 = 4. Suppose n*d - 32 = 4*d. What is the remainder when 5 is divided by 14/4 - d/(-16)?
1
Suppose 4*q + t = 37, -7*q + 9*q - 2*t - 26 = 0. Suppose 92 + 93 = 5*o. Calculate the remainder when o is divided by q.
7
Let b(g) = 5*g - 170. What is the remainder when b(66) is divided by 45?
25
Suppose 0 = -467*r + 460*r + 434. What is the remainder when 246 is divided by r?
60
Suppose 5*s = 0, -2*t + 3*t - 10 = -5*s. Suppose 3*r - 4*y = 105, -3*r + 5*y = -57 - 48. What is the remainder when r is divided by t?
5
Suppose 4*k + 3*o = -3 + 12, -5 = -k + 2*o. Suppose -4*b = 2*w - 40, -3*w + 0*w + 51 = k*b. Calculate the remainder when 97 is divided by w.
13
Let y = -754 + 1086. What is the remainder when y is divided by 67?
64
Suppose -3*v + 4*u = -5 + 13, 0 = 2*v + 4*u + 32. Let t(k) = k**2 + 4*k + 5. Calculate the remainder when t(v) is divided by (3 - 1) + -2 + 20.
17
Let r = 156 - 91. Let w = -463 + 485. What is the remainder when r is divided by w?
21
Suppose 10 = 5*m - 15. Let d(r) = -9*r**2 - 828*r + 4. Calculate the remainder when m is divided by d(-92).
1
Suppose -u + 0*u + 22 = 0. Let c(j) = -j**3 - 5*j**2 - 2*j - 5. Let r be c(-5). Suppose 7 + r = b. Calculate the remainder when u is divided by b.
10
Let q(c) = -3*c + 6. Let t be q(2). Suppose 3*h - i - 16 = t, 3*h + 4*i + 8 = -i. What is the remainder when 4 is divided by h?
0
Suppose -3*n = -11 - 4. Suppose 3*o - 28 = -4*x, 0 = n*x - 14 - 6. Suppose 160 = o*u + 44. Calculate the remainder when u is divided by 15.
14
Suppose 0 = 397*x - 391*x - 492. Calculate the remainder when x is divided by 34.
14
Suppose -b + 4*n + 96 - 15 = 0, -305 = -5*b - 5*n. Calculate the remainder when 259 is divided by b.
64
Suppose -7*l = -2*l - 30. Let j(s) = s**3 + 5*s**2 + 6*s + 4. Calculate the remainder when l is divided by j(-1).
0
Let u = 120 + -104. What is the remainder when 109 is divided by u?
13
Let b(r) = -13 - 2*r + 10 - 4*r**3 - 6*r**2 + 2*r**3. Suppose -4*v = -5*v + 13. What is the remainder when b(-4) is divided by v?
11
Let k = -26 + 121. What is the remainder when k is divided by 24?
23
Calculate the remainder when 187 is divided by (-284)/(-10) - (-58)/(-145).
19
Let y(v) be the second derivative of 7*v**4/4 - v**2/2 - 9*v. Let h(k) = -k - 4. Let z be h(-5). What is the remainder when y(z) is divided by 11?
9
Suppose 4 = t - 0. Suppose 0 = -t*g + 177 + 47. Let q = 22 - -7. Calculate the remainder when g is divided by q.
27
Suppose 4*p + 24 = -2*k + 6*k, -2*k + 6 = p. Suppose i + 3 + 4 = -k*z, -3*i - 2*z = 1. What is the remainder when 1 is divided by i?
0
Suppose 9 = 3*q, 3*z - 3*q - 51 = -5*q. Calculate the remainder when 40 is divided by z.
10
What is the remainder when 191 is divided by (2*1 - (-60 + 55))*7?
44
Suppose -32 = 4*c - 632. Suppose -3*f - 5