- 6. Let u(c) = c**3 + 4*c**2 - c + 1. What is the remainder when 22 is divided by u(p)?
9
Suppose 0*h - 9 = -h. Let v(z) = z**3 - 9*z**2 + 4. Let l be 10*1 + (2 - 3). Calculate the remainder when h is divided by v(l).
1
Let h = 60 - 43. Let a = 110 - 102. Calculate the remainder when h is divided by a.
1
Let k(r) = -2*r + 14. Let g be k(6). Let a be 13 - (1 - (g + -1)). Suppose 0 = -i - 0 + a. What is the remainder when 24 is divided by i?
11
Suppose -2*v + 1 = -v - o, -4*v = o - 19. Suppose 3*f + 17 = v*f. What is the remainder when 7*5 - (6 - 3) is divided by f?
15
Let c be (1 - 0 - 1)/(-2). Suppose -4*a - l + 8 = -130, -4*a - 4*l + 132 = c. Suppose 3*i = -8 + a. Calculate the remainder when 24 is divided by i.
6
Let r be 4/(-2)*(-2 - 0). Suppose r*w = -w + 15. Let a = 8404 + -8390. What is the remainder when a is divided by w?
2
Let u be 29/9 - 16/72. Let h(w) = 3*w**2 + w - 1. Let n be h(u). Suppose 43 + n = 3*f. What is the remainder when f is divided by 5?
4
Suppose -5*g + 3619 = -1231. What is the remainder when 3 - g/(-5) - -4 is divided by 34?
31
Suppose -51*s - 4 = -50*s. Suppose -5*z + 29 = -16. What is the remainder when (-177)/27*s - (-4)/(-18) is divided by z?
8
Suppose -b = -6 - 15. Suppose -4*i - 105 = -5*i. Calculate the remainder when b is divided by ((-8)/(-10))/(14/i).
3
Let b be -3 + 0 + (-2 + 0 - -116). Suppose k + 5*o + b = 3*k, -k + 50 = 3*o. Calculate the remainder when k is divided by 9.
8
Let o(h) = h**3 + h**2 + 18. Let q be o(0). What is the remainder when 1*q - (8 - 4) is divided by 8?
6
Suppose -29 = -3*x + 64. Let u = 1903 + -1886. What is the remainder when x is divided by u?
14
Suppose -192 = 21*a - 990. Calculate the remainder when 113 is divided by a.
37
Calculate the remainder when ((-587)/(-3))/(5/15) is divided by 14.
13
Suppose 2*p + 2*t = -2, -2*t + 3*t = -2. Let m = 251 - 268. Let q = p - m. Calculate the remainder when q is divided by 11.
7
Suppose 98*z - 52*z = 14628. Calculate the remainder when z is divided by 76.
14
Suppose p + 4 = u, -8 - 4 = -3*u + 5*p. Suppose -29 = -u*g - 3*w, -5*g + 72 = -5*w - 8. What is the remainder when 21 is divided by g?
10
Suppose -8*n = -154 - 158. Calculate the remainder when n is divided by 21.
18
Let t be (-17 - -13) + (1 - -1). What is the remainder when 2 + 38 - 2*-1 is divided by (0 - -1)*(-22)/t?
9
Suppose 0 = 4*w - 46 + 22. Calculate the remainder when 37 is divided by w.
1
Let h(y) = y**2 - 6*y - 8. Let c be h(7). Let i(s) = 27*s**3. Let m be i(c). Let j = 71 + m. Calculate the remainder when j is divided by 23.
21
Let r(a) be the second derivative of 0 - a - 2*a**2 + 0*a**3 + 1/12*a**4. What is the remainder when 17 is divided by r(3)?
2
Suppose 5*c - 4 = -x, -2*x + 3*x = c + 4. Suppose -5*k = 5, c = a - k - 180 + 66. Calculate the remainder when a is divided by 29.
26
Let k(y) = -y**3 - 19*y**2 - 26*y - 102. What is the remainder when k(-18) is divided by 4?
2
Suppose -13*n + 55 = -8*n. Suppose -14*j + 21*j = 203. Calculate the remainder when j is divided by n.
7
Let l(q) = -q**2 - 15*q + 21. Suppose 0 = -4*w - 2*w - 96. Calculate the remainder when 7 is divided by l(w).
2
Let q(d) = d**2 - 35*d + 189. Calculate the remainder when 150 is divided by q(30).
33
Calculate the remainder when 16/2 - (-139 - -58) is divided by 9.
8
Suppose 137 = -5*u - 218. Let j = 103 + u. Calculate the remainder when j is divided by 51/(-2)*(-28)/42.
15
Suppose -3 = -2*d + 3. Let t = -43 - -99. Suppose 2*v + 4*q = -3*v + t, 4*v - d*q - 20 = 0. Calculate the remainder when 13 is divided by v.
5
Suppose 0 = 2*h + 84 + 34. Let x = 8 - h. Suppose -4*b - c + x = 0, 0*c + c = -2*b + 31. What is the remainder when 34 is divided by b?
16
Suppose -26 = -7*c + 2. Calculate the remainder when 8 is divided by c.
0
Let n = 211 + -184. Calculate the remainder when 105 is divided by n.
24
Suppose -12*o - 1164 = -2820. Calculate the remainder when o is divided by 35.
33
Suppose 0 = 4*w - 2*w - 5*j - 11, 5*w + 5*j - 45 = 0. Suppose -w*k + 9*k = 28. Calculate the remainder when (158/(-6) - 1)*-3 is divided by k.
26
Let z = 756 - 580. Calculate the remainder when z is divided by 30.
26
Suppose -25 = -8*x + 47. Let k = 11 + 15. Calculate the remainder when k is divided by x.
8
Let z = 7 + -3. What is the remainder when 2/(6/81) - z is divided by 13?
10
Let q(t) = 23*t - 260. Calculate the remainder when 150 is divided by q(14).
26
Suppose 0 = -r - 5*p - 15, 0*r - 4*p - 21 = -r. Suppose 0 = h - r*q + q + 36, 4*h + 159 = q. What is the remainder when 9 is divided by 14/4*h/(-35)?
1
Let d(l) = 4 - 2 + 1 + 29*l**2 - 2. Let o be d(-1). Suppose -n + 3*u + o = 0, 0 = -2*n + n - 4*u + 9. What is the remainder when n is divided by 6?
3
Let n = 552 + -497. What is the remainder when 153 is divided by n?
43
Suppose 0 = -n - 5, i + 4*n - n = 74. What is the remainder when i is divided by 31?
27
Let f = 169 + -139. Calculate the remainder when f is divided by 17.
13
Let g(k) = k**3 - 4*k**2 - 6*k + 6. Let q be g(5). Suppose 5*t + 3*j = 40, 0 = t + 4*j - 26 + q. Calculate the remainder when 18 is divided by t.
3
Let z(n) = 4*n**2 + 85. Calculate the remainder when z(0) is divided by 19.
9
Suppose -4*t - 3*g = 382, -2*g - 141 - 146 = 3*t. Let n = t - -109. Calculate the remainder when 46 is divided by n.
10
Suppose 8*i - 67 = -3. Calculate the remainder when 42 is divided by i.
2
Suppose -23*r = -21*r + 2016. Suppose 0 = -2*j - 2*j + 40. What is the remainder when r/(-10) + 2/j is divided by 26?
23
Let s = -118 - -80. Let v = 99 - s. Calculate the remainder when v is divided by 47.
43
Let n = -93 - -132. What is the remainder when n is divided by 13?
0
Suppose 4*x = 5*h - 604, -3*x = 11*h - 8*h - 357. Calculate the remainder when h is divided by 16.
8
Let b(p) = p**3 - 3*p**2 - 4*p + 2. Let k = -11 + 15. Let r(s) = s + 1. Calculate the remainder when r(1) is divided by b(k).
0
Let g(f) = 2*f**2 + f - 2. What is the remainder when g(7) is divided by 12?
7
Let b(a) = -a - 5. Let w be 2*(-3)/24 - (-27)/12. Suppose -2*h + k + 17 = 0, -w*k + 6 = -5*h + 49. Calculate the remainder when h is divided by b(-8).
0
Let p = 245 - 220. What is the remainder when 147 is divided by p?
22
Let o = -5 - -12. Let d = -1 + o. Calculate the remainder when 11 is divided by d.
5
Let k be -1 - (-3)/(-3) - -7. Suppose -k*o + 116 = -44. Suppose -3*v = 2*v - 55. What is the remainder when o is divided by v?
10
Let f = -176 + 130. Let k = 263 - 370. Let i = f - k. What is the remainder when i is divided by 21?
19
Let d(n) = n**3 + 2*n**2 - n + 1. Let q be d(-2). Suppose 4*y - q*k - 66 = 0, -2*y - 2*k + 23 = -3. Calculate the remainder when y is divided by 9.
6
Suppose 0 = 4*n + 16, -c + 0*n = -5*n - 107. Calculate the remainder when c is divided by 84.
3
Suppose -h - 15 = -2*s + 18, -5*s + 5*h + 95 = 0. Calculate the remainder when 21 is divided by s.
7
Let n(a) = a**2 + 8*a + 5. Let t be n(-8). Suppose -359 - 21 = -t*z. Let k = z + -9. What is the remainder when k is divided by 17?
16
Let z be 3/(-5) - (-69)/15. Suppose 4 + z = -2*s, -4*s = -c + 19. Let a = 12 + -4. What is the remainder when a is divided by c?
2
Let k(q) = -9*q - 143. Calculate the remainder when 126 is divided by k(-17).
6
Let k = -11 + 12. Let v = k + 1. Suppose 0 = v*c - c - 39. Calculate the remainder when c is divided by 14.
11
Let q(t) = 3*t + 24. Let d be q(-8). Suppose d = -0*m - m + 203. Calculate the remainder when m is divided by 41.
39
Suppose 3*i - 51 = -5*a, -10 - 23 = -2*i - 3*a. What is the remainder when 167 is divided by i?
11
Suppose -4*g + p - 3*p - 2 = 0, -2 = -2*g - 4*p. Let l(z) = -11*z. What is the remainder when (126/(g + -2))/(-1) is divided by l(-2)?
20
Suppose 4*t + f = -69, -t - f = -2*f + 16. Let o = 52 + t. Let q = -18 - -36. Calculate the remainder when o is divided by q.
17
Let a = -31 - -33. Suppose -x = w - 14, -2*w - 5*x = -w - 26. Calculate the remainder when a*(-3)/9*-45 is divided by w.
8
Calculate the remainder when (-4)/18 - 317/(-9) is divided by (5 + -14)*(-2 + 3 + -3).
17
Suppose 5*u + 15 = 0, -20 = -d - 23*u + 19*u. Calculate the remainder when 637 is divided by d.
29
Suppose 3*h - 164 = 2*h. What is the remainder when h is divided by 21?
17
Let g = 211 - 150. Suppose -4*a = 5*a - 27. What is the remainder when g is divid