h + 123 = 0. Let j(i) = 17*i + 1. What is the remainder when a is divided by j(1)?
14
Suppose -3*s + 15 = 2*s. Suppose -s*c - 5*o - 63 = 0, -4*c - 4*o = 56 + 20. Let i = 26 + c. Calculate the remainder when 29 is divided by i.
9
Let n(v) be the first derivative of v**2/2 + 2*v + 4. What is the remainder when 69 is divided by n(7)?
6
Let s(u) = u**2 + 4*u + 1. Let k be (0 - -10)*6/(-12). Calculate the remainder when 22 is divided by s(k).
4
Let q(w) be the second derivative of w**3/6 + 2*w**2 + 5*w. Let p(h) = h**3 + 3*h**2 + h + 1. Let f be p(-3). What is the remainder when 2 is divided by q(f)?
0
Let q = -4 - -3. What is the remainder when (14 + 0)/(0 + 1) is divided by 2 - (-20)/4 - q?
6
Suppose -6*n + 170 = -n. Suppose n - 6 = 4*u + 4*d, 0 = 2*u - d - 20. Suppose 4*o - 3 = u. Calculate the remainder when o is divided by 2.
1
Let a(m) = 41*m + 536. What is the remainder when a(-11) is divided by 48?
37
Suppose 165 - 169 = -4*m. What is the remainder when 1 is divided by m?
0
Suppose 3*u - 69 = 2*z - 17, z = 5*u - 75. Suppose 0 = 3*v - u - 25. Let p = 5 - 0. What is the remainder when v is divided by p?
3
Let u(p) = p**2 - 21*p + 115. What is the remainder when 6 is divided by u(10)?
1
Let y(l) = 4*l**3 - 2*l**2 - l - 2. Suppose 5*h + 57 = 5*i + 132, 33 = 3*h + i. Calculate the remainder when y(2) is divided by h.
8
Suppose -3*r + m = -6*r + 140, -234 = -5*r - 2*m. What is the remainder when 91 is divided by r?
45
Suppose 268 = 6*o - 2*o. Let x = o - 44. Let m = 58 - x. What is the remainder when m is divided by 9?
8
Suppose -5*k + 32 + 23 = 0. Let w(t) = t**3 - 12*t**2 + 12*t + 26. Calculate the remainder when w(k) is divided by 19.
18
Let n(c) = c**3 - 7*c**2 - c + 8. Let i(k) = 3*k + k**2 - 3 - 5*k + 0 + 3*k. Calculate the remainder when i(-3) is divided by n(7).
0
Let p(n) be the third derivative of -7*n**4/24 + n**3/6 + 2*n**2. Let q be p(1). Let d(g) = -g**2 - 8*g + 1. Calculate the remainder when 51 is divided by d(q).
12
What is the remainder when (-9 - 620/30)*-3 is divided by 43?
3
Let j(a) = -3*a - 12. Let k be j(-4). Suppose k = y - 39 + 13. Calculate the remainder when 75 is divided by y.
23
Let l be 1*(-8 + 1)/(-1). Suppose 2*i - 3*d - 62 = -18, 4*i - 128 = -4*d. Calculate the remainder when i is divided by (-1 - l)*9/(-12).
4
Suppose -h = -2*h + 8. Suppose -9*v + 35 = -h*v. Calculate the remainder when 67 is divided by v.
32
Let h = -1065 + 1319. Calculate the remainder when h is divided by 10.
4
Let q(d) = 16*d**2 + d. Let s(m) = 8*m - 3. Let o be s(3). Suppose -12*c = -9*c - o. What is the remainder when q(1) is divided by c?
3
Let y(m) = m**3 + m**2 - 32*m + 69. What is the remainder when y(6) is divided by 23?
14
Suppose -3*t + 2*y = -2, 2*t + 3*t = 2*y - 2. Let p(d) = -d**3 + 6*d**2 - d + 5. What is the remainder when t/((-4)/94) + (-4)/(-2) is divided by p(5)?
24
Suppose 3*w + 2*w = 90. Let u = 21 - w. Suppose 0 = -u*n + 2*d + 34, 6*d - 90 = -5*n + d. What is the remainder when 54 is divided by n?
12
Suppose 0 = 2*l - 10, 2*l - 12 = 3*p + 10. Let k(a) = a + 27. Calculate the remainder when ((-46)/p)/(4/24) is divided by k(-9).
15
Suppose v = -3*b + 217, 0 = -4*b - 3*v + 101 + 195. Suppose -94*s + 93*s = -46. Let y = b - s. Calculate the remainder when y is divided by 9.
7
Let r(y) = y**2 + 12*y - 215. What is the remainder when 15 is divided by r(-22)?
0
What is the remainder when 1196 is divided by (-39228)/(-294) + (-3)/7?
132
Suppose 3*i - 8 = i. What is the remainder when i is divided by 69/63 + 26/(-273)?
0
Let i(a) be the third derivative of a**5/60 + 5*a**4/12 + 4*a**3/3 - 10*a**2. What is the remainder when 20 is divided by i(-10)?
4
Suppose 19 = 4*m - 9. Let j = m + 14. Calculate the remainder when 59 is divided by j.
17
Calculate the remainder when 103 is divided by (2 + (0 - (-7)/(-3)))*-27.
4
Let a = 1406 - 1335. Calculate the remainder when 776 is divided by a.
66
Suppose 3*k = g + 79, -5*k + g = 4*g - 127. Suppose -5*y + 111 = k. What is the remainder when 46 is divided by y?
12
Let l(z) = -3*z**3 - 10*z**2. Calculate the remainder when l(-4) is divided by 14.
4
Let y(l) = l**2 + 6*l - 1. Let c(p) = -p**2 - 6*p - 9. Let r be c(-6). Let b be y(r). Let o = b - 22. Calculate the remainder when 6 is divided by o.
2
Let w be (1*-1)/(5/(-10)). Suppose 5*m = -2*t + 18, 2*t + w = 5*m - 0. Suppose -30 + m = -2*v. What is the remainder when 27 is divided by v?
13
Let o = -15 - -12. Let v = o - -4. Suppose 3*j = -2*b - v + 6, 3 = b + 2*j. Calculate the remainder when 1 is divided by b.
0
Suppose -160*j = -165*j + 4695. What is the remainder when j is divided by 21?
15
Let c(y) = y**3 + y. Let g(i) = -5*i**3 - 6*i**2 - 9*i + 5. Let d(j) = -6*c(j) - g(j). What is the remainder when 183 is divided by d(3)?
28
Let w(f) = -f**2 + 38*f - 56. Calculate the remainder when 73 is divided by w(36).
9
Let k = 13 + -15. Let l = k + 8. Calculate the remainder when (-28)/(-1)*l/12 is divided by 6.
2
Suppose 0 = 2*f + 2*n - 16, f + 0*n = 3*n + 8. Let v = f + 0. What is the remainder when 27 is divided by v?
3
Suppose -11*y = w - 8*y - 10, -4*w + 22 = 3*y. What is the remainder when (-26)/(-4) + (-2)/(-4) is divided by w?
3
Suppose 5451 = 10*j - 3259. Calculate the remainder when j is divided by 287.
10
Suppose -5*z + 233 = -4*b, 2*b + 92 = z + z. Suppose 4*v = -v + 350. Suppose 100 + v = 10*d. Calculate the remainder when z is divided by d.
15
Let f(y) = -3*y - 2*y + 0*y + 4*y. Calculate the remainder when (-2)/(-1)*(-60)/(-8) is divided by f(-4).
3
Let f be ((-3)/(-1) + -3)*(-2)/4. Suppose 3*s - 4*w + f = 224, -3*w = 15. Calculate the remainder when s is divided by 37.
31
Calculate the remainder when 164 is divided by (-4 - -7) + -2 - (-18)/3.
3
Suppose 2*v = -4*l + 354, v - 1 = 2. Calculate the remainder when l is divided by 18.
15
Let u(q) = q**2 - 7*q. What is the remainder when 65 is divided by u(-2)?
11
Calculate the remainder when 928 is divided by 99 - ((-12)/22)/((-29)/319).
91
Let n(h) = h**2 + 3. Calculate the remainder when n(-7) is divided by 19/3 + 27 + (-2805)/99.
2
Let t be 1/6 - (-35)/6. Calculate the remainder when 53 is divided by t/(-27) + (263/9)/1.
24
Suppose -6*p + 622 = -68. Suppose 0 = 5*h - m - 97, 5*h = -m - 4*m + p. What is the remainder when h is divided by 11?
9
Let w = -70 + 75. What is the remainder when 74 is divided by 5*w/(-10)*-10?
24
Suppose h = -m + 279, -5*m + 543 = -2*h - 845. What is the remainder when m is divided by 94?
90
Suppose -14*s + 20412 = 14*s. Calculate the remainder when s is divided by 73.
72
Suppose t - 24 = 3*q + 2*q, -2*t = -3*q - 34. Suppose -2*f = 4*v - 38, -5*v - 9 = -4*f + 2. What is the remainder when t is divided by f?
5
Let z = -527 + 535. What is the remainder when 20 is divided by z?
4
Let v(n) be the first derivative of -7*n**4/4 + n**2/2 + 2. Calculate the remainder when 21 is divided by v(-1).
3
Suppose 3*k - 5*c = 185, -78*k = -73*k + 2*c - 298. Calculate the remainder when 474 is divided by k.
54
Let p be ((-12)/10)/((-4)/10). Suppose -p*m + 30 = -r, 5*m - 5*r - 22 - 18 = 0. Let s(j) = -j**2 + 17*j - 19. What is the remainder when s(12) is divided by m?
8
Suppose 0 = -i + 2*j - 6, j = 2*i + 4*j - 16. Let x(n) = -4*n + 3*n + 14*n**i - 11*n**2 + 1. Calculate the remainder when 29 is divided by x(-2).
14
Suppose 45 = 6*w - 3. What is the remainder when 20 is divided by w?
4
Let y(g) be the second derivative of g**4/12 + 4*g**3/3 + 19*g**2/2 + 6*g. What is the remainder when 36 is divided by y(-8)?
17
Suppose -782 - 544 = -34*c. What is the remainder when 69 is divided by c?
30
Suppose -3*u + 10 - 4 = 0. Suppose 490 = 7*w - u*w. Calculate the remainder when w is divided by 25.
23
Calculate the remainder when 34 is divided by -7 + (-1464)/(-60) + (-6)/(-10).
16
Suppose 537*h + 360 = 543*h. What is the remainder when h is divided by 34?
26
Suppose 6*i - 4*c = 7*i - 7, 4*i = -2*c + 70. Calculate the remainder when 31 is divided by i.
12
Let g = -69 + 96. Suppose g - 16 = f. Calculate the remainder when 29 is divided by f.
7
Suppose -3*s = 5*s - 24. What is the remainder when 17 is divided by s - 1/((-1)/2)?
2
Let q(l) = l + 26. Let w be q(-16). Let k = w + -12. What is the remainder when (k/8)/((-1)/188) is divided by 10?
7
Suppose u + 4 = 2*v, 4*v - 3*u = 3 + 5. Let