. Calculate the remainder when f is divided by 14.
11
Let h(m) = 32*m**2 + m + 1. Let k be h(-1). Suppose -5*w = -w - k. What is the remainder when 442/14 - (-28)/(-49) is divided by w?
7
What is the remainder when 145 - 6 - -1 - (-42)/(-7) is divided by 6?
2
Let k = 71 + -34. Let j = 27 + -46. Let c = 32 + j. Calculate the remainder when k is divided by c.
11
Let h(g) = g**2 - 9*g + 13. Let k(u) = -2*u**2 + 9*u - 13. Let o(a) = 3*h(a) + 2*k(a). What is the remainder when o(-10) is divided by 2?
1
Let q(a) = -a**3 + 16*a**2 + 18*a - 10. Let m be (0 - 1 - -2)*3. What is the remainder when 16 - (m + 0)/(-1) is divided by q(17)?
5
Suppose -2*s = -2*b + 56, 4*b = 8*s - 3*s + 116. What is the remainder when b is divided by 2*5/((-10)/(-9))?
6
Suppose 4*y - 5*a - 39 = 41, 4*a = -2*y + 66. Calculate the remainder when 98 is divided by y.
23
Let r = -227 + 266. Calculate the remainder when 856 is divided by r.
37
Suppose 29*q = 38*q - 441. Calculate the remainder when 587 is divided by q.
48
Let t(h) be the third derivative of -1/15*h**5 + 0 - 1/120*h**6 - 2/3*h**3 + 4*h**2 + 0*h + 7/24*h**4. Calculate the remainder when 101 is divided by t(-6).
23
Calculate the remainder when 547 is divided by 15*(-2)/(-10) - -135.
133
Let j(c) be the second derivative of -c**4/12 + 4*c**3/3 + 8*c**2 + 14*c. What is the remainder when j(7) is divided by 13?
10
Let w(z) = -4*z**2 - 5*z. Let l be w(4). Let k = l - -141. Calculate the remainder when k is divided by 15.
12
Suppose 0 = -l, 2*j - 534 - 236 = -3*l. What is the remainder when j is divided by 65?
60
Suppose 7 = -2*t + 3. Suppose -3*r + 25 = 2*r - h, h = 3*r - 17. What is the remainder when 29 is divided by (-3 + t)/(r/(-8))?
9
Let b = -42 + 74. Let u = 52 + -24. Suppose 0 = -f - 4*s + u, 3*f + 2*s - 44 = -0*f. What is the remainder when b is divided by f?
8
Let k be (-3 + 2)*(-3 + -2). Suppose 0 = -k*h + 8 + 37. Suppose -4*b + h = -3. Calculate the remainder when 6 is divided by b.
0
Let p be (4/8)/(1/(-14)). Let s = p - 22. Let l = -18 - s. What is the remainder when l is divided by 4?
3
Let n(l) = 3*l**2 + 3. Let w(f) = -f**3 - 7*f**2 + 10. Suppose 2*c - 35 = 7*c. Calculate the remainder when n(-2) is divided by w(c).
5
Let f be 1/3 - 35/(-21). Let o(d) = d**3 + 6*d + 2*d - 3*d + 6 - 7*d**2 + f. What is the remainder when 6 is divided by o(6)?
0
Let a(h) = h**2 - 7*h + 5. Let p be a(6). Let d = -304 + 307. Calculate the remainder when d is divided by 4 + p - 4 - -4.
0
Suppose 37*w - 36 = 28*w. What is the remainder when 538 is divided by w?
2
Calculate the remainder when 339 is divided by -1*2 - (-378)/36*2.
16
Calculate the remainder when (-1798)/(-12) + (-51)/(-306) is divided by 38.
36
Let x(p) = 3*p + 6. Let h be x(-2). Suppose 0 = -v - 0*v - t + 18, -4*v + 5*t + 63 = h. Calculate the remainder when 46 is divided by v.
12
Let y be 22*(-1)/(-2) - -1. Suppose 28 = -2*f - 3*a, -f - y = 2*a - a. What is the remainder when 49 is divided by (17 - 1) + (-7 - f)?
15
Let b(t) = -t**3 + 7*t**2 + t - 6. Let s be b(5). Suppose -s + 301 = 4*w. What is the remainder when w is divided by 16?
15
What is the remainder when 125 is divided by (-1)/4 + (7140/(-16))/(-17)?
21
Suppose -300 - 68 = -8*h. What is the remainder when 160 is divided by h?
22
Suppose -2*u - 14 = -60. What is the remainder when 85 is divided by u?
16
Suppose -u - 39 = -4*u. Suppose 79 = 3*o - 2. Let g = o - 4. Calculate the remainder when g is divided by u.
10
Suppose 0 = i + 4*t - 41, 0*i + 3*t - 164 = -4*i. Suppose 2*l + 0*l = 158. What is the remainder when l is divided by i?
38
Suppose -4*l + 0*l - 129 = -3*v, 0 = -3*v + 5*l + 132. What is the remainder when 271 is divided by v?
37
Suppose 75 = -3*y - k, -3*y + 4*k + 13 = 73. Let q = -3 - y. What is the remainder when q is divided by 9?
3
Let r = -127 - -185. Calculate the remainder when 345 is divided by r.
55
Suppose -5*z - 7*t + 3*t = 79, 0 = -t + 4. Let p = -15 - z. Suppose -g = -k + 3, k + 5 = p*g - g. What is the remainder when 19 is divided by k?
5
Suppose -3*x + 5 = 5*n, -23 = -2*n + x + 2*x. Suppose 0 = n*t - 5*t + 4. Calculate the remainder when 13/3 - 4/(-6) is divided by t.
1
Suppose 4*n = -5*n + 18. Suppose -5*h + 4*q + 42 = 0, -n*h = 3*q - q - 24. Suppose 1 = -u + 39. Calculate the remainder when u is divided by h.
8
What is the remainder when (-1625)/(-6) + 86/516 is divided by 36?
19
Suppose 3*z + 428 = 113. Let r = z + 132. Calculate the remainder when r is divided by 13.
1
Let c(t) = t**2 + 17*t + 109. What is the remainder when 133 is divided by c(-14)?
66
Suppose -4*h = -10*h. Suppose r - 6*r + 35 = h. Calculate the remainder when 31 is divided by r.
3
Suppose -l = -7 - 19. Let p be 7562/l - 12/(-78). What is the remainder when 78 is divided by p/15 - 6/(-10)?
18
Suppose 0 = -4*j + s + 73, 5*j = -0*s + 5*s + 95. Suppose 3*f = j + 30. Calculate the remainder when 29 is divided by f.
13
Suppose 3 = -3*l + 30. Suppose 2*r = 65 - l. What is the remainder when r/4*(1 - -7) is divided by 19?
18
Let f = 146 + -115. What is the remainder when 151 is divided by f?
27
Let d(y) = y**2 - 13*y. Let s be (-2)/7 + 810/(-105). Calculate the remainder when (-210)/s + (-6)/24 is divided by d(14).
12
Let c(q) = 2*q**2 + 5*q - 2. Let v be c(-6). Suppose v = k + 4*k. Suppose -k = -4*y, 2*i - 24 = 2*y + 3*y. Calculate the remainder when 67 is divided by i.
16
Let x(g) = -58*g + 134. What is the remainder when 174 is divided by x(2)?
12
Let p(y) = -19*y + 8. Let i be p(5). What is the remainder when 28 is divided by 2/4 + i/(-6)?
13
What is the remainder when (-4 - 2124/(-45))*10/3 is divided by 44?
12
Let s = 12 + -3. Let h = s + 3. Let n = -36 + 57. What is the remainder when n is divided by h?
9
Let m = 252 + -222. Calculate the remainder when 102 is divided by m.
12
What is the remainder when ((-6)/(-4))/1*(-656)/(-24) is divided by 36?
5
Let z = -8 - -25. What is the remainder when 38 is divided by z?
4
Suppose -8 = -4*d, 7*o - 4*d + 3*d - 467 = 0. Calculate the remainder when 198 is divided by o.
64
Let q = -1912 + 1973. Calculate the remainder when 241 is divided by q.
58
Calculate the remainder when 40/16 - (-2408)/16 is divided by 40.
33
Suppose -4191 + 4371 = 9*i. Let l = 14 - 9. What is the remainder when i is divided by l?
0
Let v(w) be the second derivative of -w**4/12 - 5*w**3/3 + 4*w**2 + w. Let i be v(-7). Let p = -23 + i. Calculate the remainder when p is divided by 3.
0
Let i = 12 + -45. What is the remainder when 56 is divided by (-6)/i + (-621)/(-33)?
18
Suppose 3*u - 2*z - 11 = 0, -152*u - z - 9 = -157*u. Calculate the remainder when 3 is divided by u.
0
Let t(l) = 7*l - 4. Suppose 703 = -96*m + 111*m - 182. Calculate the remainder when m is divided by t(5).
28
Suppose -8*d + 94 = -138. Suppose -3*t - 2 = 2*n - 39, d = 3*t - 2*n. Calculate the remainder when 63 is divided by t.
8
Suppose -4*y = -2546 - 882. Calculate the remainder when y is divided by 13.
12
Let p = -207 - -217. Calculate the remainder when 25 is divided by p.
5
Suppose 0 = -879*u + 887*u - 392. Calculate the remainder when 976 is divided by u.
45
Let k(w) = 2*w - 11. Let f be k(7). Suppose -z = y - 19, f*z = -2*y + 2*z + 38. What is the remainder when y is divided by 8?
3
Suppose 9 = 5*x - 76. Suppose 39 = -4*v - 1. Let j = x + v. What is the remainder when 25 is divided by j?
4
Suppose -2*q + 4*g = q - 9, 3*q = -3*g + 9. Let m(k) = 4*k - 7. What is the remainder when m(q) is divided by 4?
1
Suppose -5*v - 5*j = -4*j - 111, j = 4*v - 87. Suppose -s + 3 + v = 0. What is the remainder when s is divided by 37/3 + 4/6?
12
Suppose 2*g - 920 = 3*a, -8*g - 3*a = -12*g + 1834. Calculate the remainder when g is divided by 22.
17
Let z(i) = 5*i**2 - 2*i - 3. Let f = -134 - -173. What is the remainder when f is divided by z(-2)?
18
Suppose 9*m + 2190 = 24*m. What is the remainder when m is divided by 21?
20
Let m(k) = k**2 - 8*k - 38. Let v(i) = -i**2 + 7*i + 37. Let z(g) = 6*m(g) + 7*v(g). What is the remainder when 60 is divided by z(0)?
29
Suppose -4*b - 123 = -419. Suppose -3*z = 3*c - 0*z - 51, 2*c - 24 = 3*z. What is the remainder when b is divided by c?
14
Let i(l) = l**2 + 24*l + 9. Let h be i(-17). Let n = h + 158. Calculate the remainder when 93 is divided by n.
45
Suppose -10 = 17*s - 19*s. Suppose -3*j =