et f(h) = -h**3 + 4*h**2 + 10*h + 2. Let r be f(6). Calculate the remainder when 74 is divided by s(r).
9
Let q(k) = -k**3 + 4*k**2 - 9*k - 7. Suppose -72 = -4*w + 88. Calculate the remainder when q(-4) is divided by w.
37
Suppose 0 = -8*k + 11*k - 3*q - 210, 4*k - 7*q - 280 = 0. What is the remainder when 123 is divided by k?
53
Suppose 3*m + 8 - 123 = -2*h, 168 = 3*h + 3*m. What is the remainder when 739 is divided by h?
50
Suppose -t = -5*f - 163, 4*t - 5*t = f + 35. Let j = f - -70. What is the remainder when j is divided by 10?
7
Let o be -10*1/1*(-10)/20. Suppose o*v = 6 + 4. Suppose -k + 3 = -0*k. What is the remainder when k is divided by v?
1
Suppose 364 = 5*r + 2*u - 4*u, 2*u = -2*r + 154. Calculate the remainder when r is divided by 21.
11
Suppose -10 = 3*q + 8. Let k = 2 - -5. What is the remainder when (-25)/2*(q - -4) is divided by k?
4
Let c(k) be the second derivative of -k**5/20 + 3*k**4/4 + 5*k**3/3 + 5*k**2 + k. Calculate the remainder when 768/42 + 4/(-14) is divided by c(10).
8
Let m be 1/3 - (-2299)/33. Let j = -41 + m. What is the remainder when j is divided by 38/5 - 4/(-10)?
5
Suppose -j - b + 5 = 3, -4*j = -2*b - 14. Let v = j + 1. Calculate the remainder when 19 is divided by v.
3
Let h = -100 + 110. Calculate the remainder when 32 + (-8)/(-10) + (-38)/h is divided by 11.
7
Let q = -5 - -9. Let k be (-1)/q - (-42)/8. Suppose 3*d - 5*p - 93 = -2*p, k*p = 2*d - 71. Calculate the remainder when 54 is divided by d.
26
Suppose -5*s - 25 = -m, 2*s - 15 = 5*s. Suppose -4*y - 4*c + 104 = m, 0*c - 2*c = 4*y - 94. Calculate the remainder when y is divided by 12.
9
Let x(l) = 5*l + 247. Suppose 18 = -d + 3*d. Calculate the remainder when x(-46) is divided by d.
8
What is the remainder when 378 is divided by 0 + 40/10 + 24?
14
Suppose -7 = 4*f + 245. Let m = 4 - f. Calculate the remainder when m is divided by 10.
7
Suppose 0 = -m - 0*m + 12. Suppose -441 = -3*v - 96. Suppose -v = -6*i + i. What is the remainder when i is divided by m?
11
Let j = -2352 + 2364. Let u(q) = -q + 33. What is the remainder when u(0) is divided by j?
9
Let c = 14 + -6. Let m(i) = i - 2. Let g be m(c). Suppose 2*p + 2*y = 18, -2*y + g = -2. Calculate the remainder when 12 is divided by p.
2
Let f = 325 + -303. Calculate the remainder when 83 is divided by f.
17
Let v = 90 + 66. Calculate the remainder when v is divided by 81.
75
Let y = -439 - -607. What is the remainder when y is divided by 58?
52
Let l(d) be the first derivative of d**3/3 - d**2 - 3*d + 35. Suppose -4*h + 3*h = 3. What is the remainder when 21 is divided by l(h)?
9
Let b = -79 - -83. Calculate the remainder when 25 is divided by (3/b*-2)/(30/(-40)).
1
Let v(y) = 3*y**2 - 10*y + 7. Calculate the remainder when v(10) is divided by 16.
15
Let h(s) = s**3 - 9*s**2 - 21*s - 9. What is the remainder when 9 is divided by h(11)?
1
Let b(n) = -n + 21. Let o be b(16). Suppose o*x - 19 = 2*s, 3*x + 3*s - 3 = -0*s. Calculate the remainder when 58 is divided by -3*x*56/(-42).
10
Let o(s) = -s**3 - 13*s**2 - 7*s + 28. What is the remainder when o(-13) is divided by 21?
14
Let z be (-3 + 3 + 1)*4. Suppose -b - z = -6. Suppose 4*f - b*f = -4*a + 48, -5*a = -2*f - 69. Calculate the remainder when 50 is divided by a.
11
Let c = 427 + -324. Suppose 2*p - 127 = -23. What is the remainder when c is divided by p?
51
Suppose 6*q = 7*q - 7. Let a(h) = h - 5. Let j be a(9). Suppose -5*d - b = -100, 0 = d - 2*b + j*b - 29. What is the remainder when d is divided by q?
5
Let s = -297 + 331. What is the remainder when 234 is divided by s?
30
Let k = -12 - -21. Let f be 7 - -3*20/(-12). Suppose -d - 29 = -f*u, -8*d + 7*d - 71 = -5*u. What is the remainder when u is divided by k?
5
Let n(r) = 19*r - 4. Suppose -19*d - 37*d + 319 + 969 = 0. Calculate the remainder when n(5) is divided by d.
22
Suppose 0 = -3*d + 5*m + 332, 0*d = -4*d + 4*m + 440. Calculate the remainder when d is divided by 14.
11
Suppose -2*j - 3*x = -4*j + 68, 5*j + 4*x = 216. Calculate the remainder when 196 is divided by j.
36
Calculate the remainder when 76 is divided by (6/(-4))/(4/(-104)).
37
What is the remainder when 145 - (-5 - -12) - 5/(-1) is divided by 54?
35
Suppose -5*y - i = 20, -5*y + 5*i + 2 + 8 = 0. Let v = 5 + y. What is the remainder when v is divided by 6/9 - (-4)/3?
0
Suppose 2*d = d + 2*o + 11, 21 = 3*d - 3*o. Suppose -d*g - 5*s + 12 + 5 = 0, 0 = 4*s - 4. Calculate the remainder when (4/(-8))/(g/(-712)) is divided by 30.
29
Calculate the remainder when 68558/105 + (-1)/(-15) is divided by 109.
108
Let m(g) = g**3 + 6*g**2 - 46*g - 11. Calculate the remainder when m(-8) is divided by 29.
26
Let s = 16 + -14. Let y = -2 - -2. Suppose y = -5*f + 3*f - s*m + 42, -52 = -2*f + 3*m. Calculate the remainder when f is divided by 8.
7
Let p = 153 - -26. Calculate the remainder when p is divided by 60.
59
Suppose 0 = 2*o + 10, -4*o - 201 = n - 2*n. Suppose 8*v = 83 + n. What is the remainder when v is divided by 18?
15
Let a = -921 + 1067. Calculate the remainder when a is divided by 51.
44
Suppose 127 = 7*o - 31*o + 751. Let x be (-1472)/18 + (-4)/18. What is the remainder when o is divided by (-2)/(-6) - x/6?
12
Suppose -823 + 251 = -11*u. Let y(m) = m**3 + 7*m**2 + 5*m + 3. What is the remainder when u is divided by y(-5)?
24
Let g be 6*(1 + (-3)/9). Suppose 5*u = g*r - 30, 2*u - 3 - 1 = 0. Calculate the remainder when 24 is divided by r.
4
Let m = 26 - 27. What is the remainder when (-3 - m)*(-37)/2 is divided by 20?
17
Suppose 4*z - 2*g - g - 139 = 0, -4*z = -g - 129. Let h = 42 - z. What is the remainder when h is divided by 4?
3
Let y = 3733 - 3507. Suppose 4*p + p = 190. What is the remainder when y is divided by p?
36
Let h(i) be the third derivative of i**5/30 + i**4/12 - i**2. Let m be h(-2). Calculate the remainder when 43 is divided by (-1 + m)/((-2)/(-10)).
13
Suppose 3*k + 15 = 6*k, 2 = -4*g + 2*k. Let b = 6 + -4. Suppose 16 = b*r + g*r. Calculate the remainder when r is divided by 2.
0
Let f = 136 - 133. Calculate the remainder when 14 is divided by f.
2
Suppose 3*l = 12*l - 1458. Suppose l = 10*h - 158. Let z(t) = 5*t**3 - t**2 - 1. Calculate the remainder when z(3) is divided by h.
29
Let c(u) be the third derivative of u**4/12 - 2*u**3/3 + 3*u**2. Suppose -2*v + 9 = -k, v = 2*k - 0*k + 3. What is the remainder when c(6) is divided by v?
3
Let c(l) = -l**3 + 2*l**2 + 5*l - 4. Let x be c(3). Suppose 7*m = x*m + 65. Suppose m = 2*s - 1. What is the remainder when 12 is divided by s?
5
Let n(a) = -a**3 + 7*a**2 - 5*a - 2. Let v(i) = i**2 - 5*i. Let q be v(6). What is the remainder when n(q) is divided by 3/(-3*1/(-3))?
1
Let j(b) = b**3 + 15*b**2 + 19*b + 38. What is the remainder when j(-13) is divided by 23?
14
Let t(v) = 295*v - 2. Let h be t(1). Suppose y + h = d + 2*d, -y = d - 103. Suppose -d = -4*z - 27. What is the remainder when 33 is divided by z?
15
Let l = 13 - 9. Suppose 3*d = l*y - 128 + 21, 0 = -5*y + 3*d + 136. Let w = 18 + -10. Calculate the remainder when y is divided by w.
5
Let z = 18 - 13. Suppose z*k - 9*k + 1000 = 0. Suppose 0 = 3*x + 2*x - k. What is the remainder when x is divided by 18?
14
Suppose -5*l - 4*j - 7 + 163 = 0, 2*l = 4*j + 68. Suppose 17 = -31*k + l*k. What is the remainder when 49 is divided by k?
15
Suppose 4*r + 73 = d + 2*r, 3*r = 0. Suppose 4*f - 33 = -n, -n - f - d = -4*n. Let b = -7 - -14. What is the remainder when n is divided by b?
4
Suppose -4*m = -4*y - 0*y - 24, y - 6 = -3*m. Suppose m*n = 2*n + 152. What is the remainder when n is divided by 31?
28
Let i = 3871 + -1251. What is the remainder when i is divided by 69?
67
Suppose -8*l = -12*l + 432. What is the remainder when l is divided by 60?
48
Let i = -661 - -664. What is the remainder when 2/3 - (-630)/27 is divided by i?
0
Suppose 0 = -3*o - 4*x + 44, 4*o + 4*x - 2*x = 42. Let t = 14 - o. What is the remainder when t is divided by 3?
0
Suppose -4*c + 11*t + 212 = 6*t, -t + 236 = 4*c. Calculate the remainder when 224 is divided by c.
50
Let r = -167 + 240. Suppose 0 = -2*c + j + 9, 0*j = 3*c - j - 15. Let k = 25 - c. Calculate the remainder when r is divided by k.
16
Let r(n) = 5*n**3 - 3*n**2 - 23*n + 70. Calculate the remainder when r(4) is divided by 17.
12
Suppose -5*a + m + 717 = 0, -5*a - 3*m = -0*a - 729.