Let z = -11 - -15. Suppose 3 - z = -p. What is the remainder when 37 is divided by q(p)?
11
Suppose 4*z - 3 = 3*u + 31, 2*z - 3*u = 14. Let h(r) be the first derivative of r**2 - 4*r + 2. What is the remainder when z is divided by h(4)?
2
Let w(s) = 6*s**2 + s - 3. What is the remainder when w(3) is divided by 14?
12
Let d(f) = -35*f - 1. Let o be (-2)/7 - (-35)/(-49). Let r = -1 - -13. What is the remainder when d(o) is divided by r?
10
Suppose -2*v + 2 = 4. Calculate the remainder when 5 is divided by (-1 + v)/(7/(-14)).
1
Let d = -28 + 84. Let m = d + -38. Let c = m - 10. Calculate the remainder when 23 is divided by c.
7
Suppose -x - 35 = 5*r - 128, -2*r = 2. What is the remainder when x is divided by 25?
23
Let a = -144 + 182. Calculate the remainder when a is divided by 4.
2
Suppose -2*g = -k + 3, -2*k + g - 5*g + 6 = 0. Suppose -q + k*q + 18 = 0. Let z(r) = -r**2 - 9*r + 6. Calculate the remainder when 17 is divided by z(q).
5
What is the remainder when (0 + 4)/((-2)/(-17)) is divided by 9?
7
Suppose 15*g = 12*g + 33. Suppose f - n - n = 16, -5*f + 5*n = -90. What is the remainder when f is divided by g?
9
Calculate the remainder when 83 is divided by 30 + 1 + -4 + 1.
27
Suppose -5*g + 5 = 0, 2*d - 3*g = 2*g - 13. Let x(p) = p**3 - 7*p**2 - 10*p + 14. Let w be x(8). What is the remainder when 47 is divided by (-2)/d*(-64)/w?
15
Let v(i) = -i - 8. Let x be v(-6). Let m be (1 + 2 + x)*2. Suppose 2*q = -m*s + 7*q + 35, -3*s - 3*q = 0. What is the remainder when 14 is divided by s?
4
Suppose 5*g + 0*g - 375 = -4*m, -2*g + 163 = -m. What is the remainder when g is divided by 16?
15
Suppose -4*p + 6*p = 18. What is the remainder when 25 is divided by p?
7
Suppose 5*b = 3*v - 8, -2*v + 0 - 3 = -5*b. Suppose -v = -o - 4*p, 0*o + 2*o + 3*p = 17. What is the remainder when 18 is divided by o?
4
Let u = -5 + 42. Suppose -15 = -t - 2*t. Suppose 2*k + 5*d = 53, -2*k + 16 + 7 = -t*d. Calculate the remainder when u is divided by k.
18
Let k(v) = -3*v**3 + 3*v**2 + 2*v - 2. Let t be k(3). Let f = 63 - -14. Let p = f + t. Calculate the remainder when p is divided by 10.
7
Let v be (-1 + 0)/((-1)/(-13)). Calculate the remainder when (-4)/8 + v/(-2) is divided by 3.
0
Let n = 27 + 60. What is the remainder when n is divided by 22?
21
Let t(u) = 0 + u**3 + 4 + 0*u**3 + 2. Let l = 0 + 0. What is the remainder when t(l) is divided by 4?
2
Let k(q) = -q + 10. Let m be k(5). Suppose 5*w + 24 = 5*n - 4*n, 4*n + m*w = -4. Suppose -245 = -n*d - d. What is the remainder when d is divided by 13?
10
Suppose 113 = 5*f - 2. Calculate the remainder when 91 is divided by f.
22
Suppose -2 + 12 = -s. What is the remainder when 27 is divided by 49/5 - s/50?
7
Let p = -2 - -8. Let n = -20 + 13. Let i(j) = -j**2 - 10*j - 17. What is the remainder when p is divided by i(n)?
2
Suppose 2*b - 4*u - 346 = 0, 3*b - 3*u - 517 = 2*u. Calculate the remainder when b is divided by 43.
40
Suppose 16*o = 13*o + 246. What is the remainder when o is divided by 28?
26
Let z(p) = 12*p**2 + 2*p. Let d = 3 + -1. Calculate the remainder when z(d) is divided by 27.
25
What is the remainder when 83 is divided by (0 + -21)/(-3)*2?
13
Suppose -3*j + 3*g + 63 = 0, 5*j + 21 - 126 = -5*g. Suppose -4*f + 0*f + 32 = 0. Calculate the remainder when j is divided by f.
5
Let k be -26 - -2 - 3/(-1). Let i = 44 + k. Calculate the remainder when 44 is divided by i.
21
Let y = -149 + 234. Suppose i - 6*i + y = 0. Calculate the remainder when i is divided by 6.
5
Suppose l - 40 = 48. What is the remainder when l is divided by 27?
7
Let z = 69 + -56. What is the remainder when 49 is divided by z?
10
Let n = -47 + 74. Calculate the remainder when 80 is divided by n.
26
Let d = 15 - 11. Suppose 2*k - d*h - 57 = h, -5*h + 15 = 0. Suppose 4*j - 9 = 67. What is the remainder when k is divided by j?
17
Suppose 6*o + 3*o = 117. Suppose a + 3*k = 31 - 1, -2*k = 5*a - 124. What is the remainder when a is divided by o?
11
Let c = 91 - 173. Suppose a - 2*a = k - 125, 2*a - 2*k = 242. Let o = c + a. Calculate the remainder when o is divided by 22.
19
Calculate the remainder when 27 is divided by (4 - 10)*15/(-6).
12
Suppose -6*x + x = -4*a + 10, -x = 5*a - 27. Calculate the remainder when 7 is divided by (11 + -8)*x/3.
1
Suppose -v + 0*v = -39. Calculate the remainder when 46 is divided by 12/(v/(-12) - -4).
14
Let z(g) = 29*g**3 + g**2. Calculate the remainder when z(1) is divided by 11.
8
Calculate the remainder when 578/12 - (-4)/72*-3 is divided by 10.
8
Suppose 4*n + 267 = 5*d, 73 = d - 5*n + 7. Let q = -30 + d. Calculate the remainder when 40 is divided by q.
19
Let f(z) = -z**2 + 9*z - 7. Let l = 15 - 10. Let w(m) = m**3 - 5*m**2 + 2*m - 6. What is the remainder when f(6) is divided by w(l)?
3
Let m(n) = -n**3 - n**2 + 9. Let v(s) = -s**2 - 11*s + 5. Let g(u) = u - 1. Let i be g(-10). What is the remainder when m(0) is divided by v(i)?
4
Let h(n) be the first derivative of 2*n**3/3 + 3*n**2 + 2*n + 2. Calculate the remainder when h(-5) is divided by 8.
6
Let f be 1022/(-18) - 2/9. Let l = f + 82. Let v = 0 + 9. Calculate the remainder when l is divided by v.
7
Suppose -7*i = 53 - 410. Calculate the remainder when i is divided by 27.
24
Let h = -15 + 29. Let o be 16/(-12)*(-123)/1. Suppose -4*t + 3*n + o = 0, -3*n = -n. Calculate the remainder when t is divided by h.
13
Suppose -o + 6*o + 45 = 0. Let g(j) = -j. What is the remainder when 24 is divided by g(o)?
6
Let z(t) = 9*t - 8. What is the remainder when 43 is divided by z(2)?
3
Let f(p) = -p**3 + 3*p**2 + 2*p - 3. Let d be (-1*3)/((-12)/16). Let w be f(d). Calculate the remainder when 6/((-1)/(w/2)) is divided by 9.
6
Let n(g) = 77*g - 273. Let x = 6 + 3. What is the remainder when n(4) is divided by x?
8
Suppose x - 5*x = -140. Suppose 69 = 2*s - 3. Suppose 5*d = 8*d - s. Calculate the remainder when x is divided by d.
11
Suppose 93 = 5*x - 7. Suppose -5*v = 4*m - 20, -3*v + 7 - 2 = m. Suppose t - 38 = -v*t. Calculate the remainder when t is divided by x.
18
Let o = 0 - -2. Suppose 3*m = -o*m + 90. Calculate the remainder when 53 is divided by m.
17
Suppose 54 = 4*u + 2*n - 126, 5*u - 3*n - 236 = 0. What is the remainder when 88 is divided by u?
42
Let c(u) = -18*u - 2. Suppose 24 + 12 = 2*p. Calculate the remainder when c(-3) is divided by p.
16
Let c(r) = -57*r - 1. Let u be c(1). Let d be (1 - 3/(-3)) + u. Calculate the remainder when d/12*(-6)/2 is divided by 5.
4
Calculate the remainder when 42 is divided by (-2)/(-4)*(-3 + (43 - 4)).
6
Let a = -157 + 82. Calculate the remainder when 8 is divided by ((-2)/6)/(5/a).
3
Suppose -6*r + 278 = 86. Calculate the remainder when r is divided by 22.
10
Suppose 2*i - 11 = 11. Calculate the remainder when 30 is divided by i.
8
Let s = -2 + 6. Suppose -x + 5*u = -5, -s*u + 24 = 3*x - 29. Calculate the remainder when 58 is divided by x.
13
Suppose -21 = 5*u - 231. Suppose 5*q - u = 33. Suppose 3*i + i - 55 = -5*k, 0 = -5*k + 4*i + q. Calculate the remainder when k is divided by 3.
1
Let q(i) = i**3 - 4*i**2 - 5*i + 5. Calculate the remainder when q(5) is divided by 2.
1
Let i(f) = 3*f + 3. Let z be i(3). What is the remainder when 23 is divided by (z/5)/(3/10)?
7
Suppose 3*k + 3 = 2*k, 0 = -4*q - 5*k + 181. Let v be (-4)/(-14) - (-1407)/q. Suppose 4*y + 5 = v. Calculate the remainder when 10 is divided by y.
4
Suppose -8 = 4*r, -5*j - 338 = 4*r + 110. Suppose p + 15 = 6*p. What is the remainder when (-3)/(-5) - j/20 is divided by p?
2
Suppose 0 = -4*m + 2*u - 6*u + 364, 3*m = 4*u + 238. Calculate the remainder when m is divided by -4 - -2 - 24/(-1).
20
Let x(w) = -w**2 + 16*w - 4. Calculate the remainder when 38 is divided by x(15).
5
Suppose 4*j = 21 - 5. Suppose -4*c + 204 = j*a, a - 6*a = c - 275. What is the remainder when a is divided by (-791)/(-42) + 2/12?
18
Suppose 0 = 2*u + 3*m - 23, -3*u + 22 = -u + 4*m. Let f(c) = 2*c**2 - 2*c. What is the remainder when f(-3) is divided by u?
11
Let r(d) = 16*d**2 - 5*d - 3. Calculate the remainder when 70 is divided by r(-1).
16
Let v(h) = 5*h - 5. Let t(g) = -2*g**2 + 7*g + 6 + g**2 + 3. What is the remainder when v(6) is divided by t(7)?
7
Let h(d) be the first derivative of 7/2*d**2 - 5/3*d**3 - 5*d - 1 + 1/4*d**4. Calculate the remainder when 20 is divided by h(4).