5. Calculate the remainder when v is divided by 25.
22
Let a = -130 - -157. What is the remainder when 80 is divided by a?
26
Suppose x - 4*x + 147 = 0. Suppose 5*j + 8 - 73 = 0. Calculate the remainder when x is divided by j.
10
Let p = 1286 + -1263. Suppose -2*x + 19 = -3*x. Let j = x + 27. What is the remainder when p is divided by j?
7
Let a(q) = 2*q**3 + 2*q**2 - 5*q - 5. What is the remainder when 66 is divided by a(3)?
14
Let d be (0/(-2 + -1))/(6 + -8). Let x = 11 - 10. Suppose 5*l - 61 + x = d. What is the remainder when 33 is divided by l?
9
Let u(s) = -2*s**3 + 14*s**2 + 126*s - 28. What is the remainder when u(-6) is divided by 92?
60
Suppose 3*i = 4*t - 2*i - 25, 2*i = -4*t + 46. Let m(w) = 7*w**3 + 5*w**2 - 18*w + 4. Calculate the remainder when m(2) is divided by t.
4
Let j = -129 + 193. Calculate the remainder when j is divided by -3 + 1*(39 + -2).
30
Suppose -5*b - 5*a = -165, 4*a + 1 = b - 37. Suppose 0 = -2*f + b + 128. Let d = f + -34. Calculate the remainder when d is divided by 13.
8
Let b = 1547 + -865. Calculate the remainder when b is divided by 36.
34
Suppose 36 = -4*j - 228. Let l = j - -22. Let v = -25 - l. What is the remainder when v is divided by 10?
9
Let s = -28 + 11. Suppose -2*r + 28 + 36 = 0. Let x = r + s. Calculate the remainder when 42 is divided by x.
12
Let n(m) = m**3 - 5*m**2 + 4*m + 2. Let x be n(4). Suppose p - 1 = v + 4, -p - 7 = x*v. Calculate the remainder when (-26)/v*1*6 is divided by 14.
11
Let y(h) = -91*h - 35. Calculate the remainder when 498 is divided by y(-1).
50
Suppose 0 = 2*c - c. Suppose c = -r + u - 9, 3*r + u = -3*u - 6. Calculate the remainder when (r/(-24))/(1/44) is divided by 2.
1
What is the remainder when ((-4)/(-3))/((33/117)/11) is divided by 15?
7
Let h = -1075 - -1093. What is the remainder when 71 is divided by h?
17
Suppose 78 = 3*l - 0*l. Calculate the remainder when 3/18 + -9 + 6710/60 is divided by l.
25
Suppose -7*n = -5*b - 2*n - 25, 3*b - 4*n + 20 = 0. Suppose -y + 7 - 2 = b. Calculate the remainder when (-9)/6*(-56)/6 is divided by y.
4
Suppose -3*o = -12 - 0, 0 = -3*s - 5*o - 22. Let f = 14 - s. What is the remainder when -1 - -4*(0 + 28) is divided by f?
27
Let f = 15 + -7. Let n = 0 + f. Calculate the remainder when n is divided by 4.
0
Suppose n + 27 = 4*z, -3*z + 3*n = 2*z - 25. Let o(a) = -3*a**2 + 40*a + 18. What is the remainder when o(13) is divided by z?
7
Suppose 322 - 100 = 6*t. Suppose -c + t = -49. What is the remainder when c is divided by 23?
17
Suppose -s + 2 = -11. Let u(y) be the third derivative of y**4/12 + 11*y**3/6 - 3*y**2 - 25*y. What is the remainder when u(s) is divided by 13?
11
Let f(c) = c**3 - 12*c**2 + 17*c - 14. Suppose 5*z + 3*o = 4*o + 57, 3*z + o - 31 = 0. What is the remainder when f(z) is divided by 11?
8
Let g(l) = 13*l**2. Let q(t) = 3*t + 40. Let o be q(-13). Calculate the remainder when 35 is divided by g(o).
9
Let z be (-4)/(-3)*6/4 - 8. Let o(q) = q**2 - 3*q - 7. Calculate the remainder when o(z) is divided by 6.
5
Let d = 12 - 9. Suppose 0 = 4*o - 2 - 10, -o = -3*m + d. Suppose 4*b - 38 = -2*a, 2 = 3*a + m*b - 63. What is the remainder when 68 is divided by a?
22
Let z(o) = 10*o**3 + o**2. Let k be z(1). Suppose -2*l + 5*l - 2*h - k = 0, h + 3 = -l. Calculate the remainder when 3 is divided by l*15/(-10)*-2.
0
Let u = -989 - -1059. What is the remainder when 277 is divided by u?
67
Let v be (1 - 2)*(-4 - 0). Suppose -3*r + k + 8 + 18 = 0, -v*r + 13 = 3*k. Calculate the remainder when 585/60 + (2 - 14/8) is divided by r.
3
Suppose 8*c = -3*c + 2310. Calculate the remainder when c is divided by 67.
9
Let l = 176 + -121. What is the remainder when l is divided by 32?
23
Let w = 190 + -176. What is the remainder when 66 is divided by w?
10
Let p = 66 + -51. What is the remainder when p is divided by (-4)/6 - 14/(-3)?
3
Let r = -3 + 2. Let u = -1477 + 1490. Calculate the remainder when u is divided by (0 - 1)/r + 7.
5
Let p(s) = s**2 + 6*s - 39. Let q be p(4). What is the remainder when 60/q + (-18)/(42/(-7)) is divided by 33?
30
Suppose -5*c + 904 = 4*r, -2*r - 16 = 2*r. Calculate the remainder when c is divided by 27.
22
Let o = 193 + -104. What is the remainder when o is divided by (-70)/(-4) - (-1)/2?
17
Suppose 5*t = a + 16 - 50, 60 = 3*a - t. Suppose -15*x = -a*x + 56. What is the remainder when x is divided by 4?
2
Suppose -4*g + 70 = -190. Suppose -3*h + 72 = f - 0, -3*h = -3*f - 60. What is the remainder when g is divided by h?
19
Let v(f) = -9*f**2 - 25*f - 21. Let c(z) = -5*z**2 - 13*z - 11. Let q(j) = 7*c(j) - 4*v(j). Calculate the remainder when (31 + 0)*1/1 is divided by q(-10).
14
Let j(i) = -i. Calculate the remainder when 63 is divided by j(-17).
12
Let s(y) = 49*y**3 - 3*y**2 + 1. Let c = -106 - -107. Calculate the remainder when s(c) is divided by 5.
2
Let f(r) = r**3 - 7*r**2 + 5*r + 9. Let t be f(6). Suppose -s = t*s - 564. Calculate the remainder when s is divided by 36.
33
Let k(f) = -2*f + 2. What is the remainder when (-52)/(-338) - (-1 + (-958)/26) is divided by k(-3)?
6
Let s = 591 - 487. What is the remainder when s is divided by 36?
32
Let v = -88 + 180. Let k = -58 + 61. Suppose 2*u - 67 = m, 4*u + u - k*m - 170 = 0. Calculate the remainder when v is divided by u.
30
Let w = 1109 + -788. Suppose -w = 3*j + 153. Let a = -53 - j. Calculate the remainder when a is divided by 27.
24
Suppose 2*l - 2*p = -l - 10, 2 = -5*l - 4*p. Let v = l + 8. What is the remainder when 23 is divided by v?
5
Let c(h) = h**2 + 15*h - 13. Let p be c(-16). Suppose -p*a = 7*a - 40. What is the remainder when a is divided by 3?
1
Let v = 247 - 231. What is the remainder when 43 is divided by v?
11
Suppose 2*a + 49 = 9*a. What is the remainder when -2*(1 - 118/4) is divided by 4 - (a - 3) - 5*-3?
12
What is the remainder when 151 + (16/32)/((-1)/(-8)) is divided by 41?
32
Let l = 24 - 25. Let x be (l - (-5 - -1)) + -6. Let f(s) = -s**3 + 2*s**2 - 7*s + 1. Calculate the remainder when f(x) is divided by 17.
16
Let i(w) = 3*w**3 + 76*w + 63*w - 150*w + 11 - w**3 - 14*w**2. What is the remainder when 303 is divided by i(8)?
48
Let s(d) = d**2 - 4*d - 1. Suppose 2*a = 2*w - 1386, -5*w = -2*w + 4*a - 2044. What is the remainder when ((-1)/(-2))/(8/w) is divided by s(6)?
10
Calculate the remainder when 40 is divided by (-15)/(-3) + (-3)/((-15)/80).
19
Let h(j) = j**2 + 2*j + 21. What is the remainder when h(11) is divided by 15?
14
Calculate the remainder when (-6)/(-8)*(-23880)/(-90) is divided by 65.
4
Suppose -3*j - q - 1 = -6*q, 1 = 3*j - 4*q. Suppose o = z - j*o - 23, -11 = 3*z + 4*o. What is the remainder when (183/(-9))/(-1)*z is divided by 16?
13
What is the remainder when 7 is divided by ((-32)/20)/4 + 51/15?
1
Let v = -21 - -49. Let u = 53 - -1. Calculate the remainder when u is divided by v.
26
Suppose -3*o - 4 + 204 = 5*k, k = 2*o - 155. What is the remainder when 291 is divided by o?
66
Let s be (11/2 - 1)*(0 - 14). Let g = -53 - s. Calculate the remainder when 27 is divided by g.
7
Let g(c) = c**3 - 37*c**2 + 39*c + 115. Calculate the remainder when g(36) is divided by 71.
10
Suppose -5*q + 2*i = -17 + 2, 2*i + 12 = 4*q. Let a(d) = d. Let b(x) = 4*x - 17. Let s(y) = -6*a(y) + b(y). What is the remainder when s(-12) is divided by q?
1
Let a be 3/(1 - (-4 - -4)). Suppose 0 = 3*o + a*s - 93, 21 + 4 = o - 5*s. Calculate the remainder when o is divided by 8.
6
Suppose 35 + 32 = 4*t + 5*d, -t + 21 = -3*d. Let h(b) = b**3 - 17*b**2 - 18*b + 36. What is the remainder when 142 is divided by h(t)?
34
Let l = -3 + 5. Suppose l*i - 4 = i. Calculate the remainder when 370/30 - 2/6 - 2 is divided by i.
2
Let t(w) = -w**2 + 20*w - 76. What is the remainder when 39 is divided by t(7)?
9
Suppose 10*l = -2*l + 228. Calculate the remainder when l is divided by 4/5*(9 - 4).
3
Suppose 0 = -5*n + 59 + 421. Calculate the remainder when n is divided by 9.
6
Let s(p) = -6*p + 32. What is the remainder when s(-18) is divided by 48?
44
Suppose -2*b = t + 10, -19 = b + t + 3*t. What is the remainder when b/(-12) - (-307)/4 is divided by 26?
25
Let g(y) = -15*y + 14. Calculate the remainder when g(-2) is divided by (-12)/(-30) - (-156)/10.
12
Let z(m) = 7*m**2 - 21*m + 65. Let a(p) = 10*p**2 - 32*p + 97. Let s(j) = 5*a(j) - 7*z(j). What i