inder when 27 is divided by r.
13
Let b(c) be the second derivative of 2*c**4 + c**2/2 + 14*c. Let j = 3 - 4. What is the remainder when 74 is divided by b(j)?
24
Let j = 49 + -45. Suppose 0 = 9*w - j*w - 2*s - 118, 51 = 2*w + 3*s. What is the remainder when 32 is divided by w?
8
Suppose 0 = 4*a + 5*s - 168, 3*a - 160 + 34 = -s. Calculate the remainder when 165 is divided by a.
39
Let u(t) = -t**3 - 10*t**2 + 12*t - 29. Calculate the remainder when u(-14) is divided by 31.
29
Let u be (-405)/(-35) + (-12)/(-28). Let c = u - 7. What is the remainder when 7 is divided by c?
2
Let v(d) = -d**3 - 5*d**2 + 25*d + 10. Calculate the remainder when v(-9) is divided by 102.
7
Let z(y) be the third derivative of -y**6/120 + y**5/60 + y**4/8 + y**3/6 - 16*y**2. What is the remainder when 9 is divided by z(-2)?
2
Suppose -7*i - 1 = -218. Suppose i - 79 = -8*f. Let j = 5 + -2. Calculate the remainder when f is divided by j.
0
Let c(f) = f + 1. Let x(i) = -i + 11. Let l be x(5). Suppose 3*p - 40 = p. Calculate the remainder when p is divided by c(l).
6
Let c = 64 - 36. Let h = 0 + c. Suppose -55 = -5*n + x, n - x - 12 = 3. Calculate the remainder when h is divided by n.
8
Let j(i) = i**2 + 13*i - 6. Let w be j(-14). Calculate the remainder when 141 is divided by (-195)/(-12) - (3 + (-22)/w).
13
Suppose -43*d + 45*d - 4 = 0. Suppose -45 = -d*w - i, -2*i + 6*i + 18 = w. Calculate the remainder when 57 is divided by w.
13
Let d = -821 - -873. Calculate the remainder when 2232 is divided by d.
48
What is the remainder when 30 is divided by (22 - 3) + (-6 - 2)?
8
Let p be (-8 - -5)*38/(-6). Suppose -2*k = -p - 65. Calculate the remainder when k is divided by 11.
9
Suppose -5*p + 4*w = -81, -5*p - 16*w + 15*w + 61 = 0. What is the remainder when 43 is divided by p?
4
Suppose 5*h = -3*m + 59, 5*h = -0*h + 20. Let q = 130 + -82. Calculate the remainder when q is divided by m.
9
Let v = 146 - 84. What is the remainder when v is divided by (2*-6 + -1)*-1?
10
Suppose 2*w = -2*t, 0 = 5*w - w + t - 12. Suppose -4 = w*n - 36. Calculate the remainder when 61 is divided by n.
5
Let u(i) = -7*i - 1. Let w = 20490 + -20479. Calculate the remainder when u(-6) is divided by w.
8
Let o(f) = -f**3 - 13*f**2 - 12*f. Let s be o(-12). Suppose -3*r = -s*r - 90. Calculate the remainder when r is divided by (-4)/14 + 174/21.
6
Suppose 2*r = -2*f + 214, -400 = -2*r - 2*r + 3*f. Calculate the remainder when r is divided by 15.
13
Let c = -73 - -78. Suppose 0 = c*l - l - 100. Calculate the remainder when l is divided by 10.
5
Suppose 5*w - 5*r - 955 = 0, -r - 1 = 2. Let h = w + -111. Calculate the remainder when h is divided by 16.
13
Let j(d) = 5*d + 38. Let h be j(-7). What is the remainder when 64 + h + (-1 - -2) is divided by 24?
20
Let g(c) = -4*c - 8. Suppose -2*y - 60 = 2*y. Let v be 6/y - (-36)/(-10). What is the remainder when 14 is divided by g(v)?
6
Let o = 110 - 61. Calculate the remainder when o is divided by 17.
15
Let g(i) = -4*i**2 - 7*i - 4. Let v be g(-5). What is the remainder when (2/(-3))/(2/v) is divided by 13?
10
Suppose 0 = 10*r - 3*r - 756. What is the remainder when 427 is divided by r?
103
Calculate the remainder when 335 is divided by 796/19 + (-106)/(-1007).
41
Let y = -379 + 583. Calculate the remainder when y is divided by 30.
24
Let k be 1 - (0 - -3) - -59. Suppose -4*f + 1755 - 1695 = 0. Calculate the remainder when 2/(3 - 1)*k is divided by f.
12
Let j = -10 - -5. Let b = 10 + j. Let g(l) = -l**3 - l**2 + l + 3. What is the remainder when g(-3) is divided by b?
3
Suppose 2*p = -5*z - 2*p + 97, -3*p - 8 = -z. Let t = z - 9. Suppose -4*a = -2*a - t. Calculate the remainder when a is divided by 1.
0
Suppose -45*y + 48*y - 18 = 0, -8 = b - 4*y. What is the remainder when (127 - (0 - -1)) + -1 is divided by b?
13
Suppose 2*d = -0*d. Let f(t) = -t**3 - t**2 + 3*t + 2. What is the remainder when f(d) is divided by 2?
0
Let b = 140 + -112. What is the remainder when b is divided by 11?
6
Let b = 407 - 202. What is the remainder when b is divided by 103?
102
Let g = 2 + 2. Suppose 60 = -d - 2*t - 0*t, 0 = g*d - 5*t + 266. Let c = -45 - d. What is the remainder when 56 is divided by c?
18
Calculate the remainder when 7 is divided by 15/6 + 17/(-34).
1
Suppose 0 = -4*q + q + 4*l + 146, 0 = -3*q - 2*l + 152. Calculate the remainder when 139 is divided by q.
39
Let v(b) = -10*b - 14. What is the remainder when 78 is divided by v(-3)?
14
Let g = -12 + 20. Suppose g*n - 36 = -4. What is the remainder when 19 is divided by n?
3
Let y(r) = -13*r + 1. Let k be y(-1). Let c = 5 + -9. Let s = c + k. What is the remainder when 39 is divided by s?
9
Let r(o) = 11*o**2 - 10*o + 11. What is the remainder when r(2) is divided by 12?
11
Let m = -21 + 23. Suppose 2*b = 5*c - 195, 4*c + c + m*b - 215 = 0. Calculate the remainder when c is divided by 11.
8
Suppose 5*n - 17 = 5*k - 2, 5*n + 4*k = -12. Suppose -4*m - m + 155 = n. Calculate the remainder when 91 is divided by m.
29
Let v = -17 - -24. Suppose 0 = 5*f + 4*h - 12, -2*f = f - 2*h - 16. What is the remainder when v is divided by f?
3
Let o = 58 - 163. What is the remainder when 20/(-5) + 2 - o is divided by 21?
19
Calculate the remainder when (-16)/(-176) - (-47736)/44 is divided by 68.
65
Suppose -5*p + 4*k = -90, 0 = 4*p - 12*k + 11*k - 83. Calculate the remainder when 174 is divided by p.
20
Let g(q) = q**2 - 12*q - 1. Let f be g(13). Suppose f*v = 5*v + 42. What is the remainder when 21 is divided by v?
3
Let d be 5 + 2/(-6)*3. Suppose 4*t - 16 - d = 0. What is the remainder when 17 is divided by t?
2
Suppose 0 = -27*j + 26*j + 237. Let n = 624 + -604. What is the remainder when j is divided by n?
17
Suppose 5*d - 7 = 3. Let n = 6 - 4. Suppose -4*r + n*r = 4*f - 98, 5*r + 55 = d*f. What is the remainder when f is divided by 7?
4
Let m = 1670 - 1556. Let y = 41 + -18. Calculate the remainder when m is divided by y.
22
Suppose -28*c + 23*c + 75 = 0. Calculate the remainder when 33 is divided by c.
3
Let h = 258 - 170. Suppose 87*o - h*o + 11 = 0. Suppose 0 = -4*n + 2*n - c + 18, 4*n = -3*c + 40. Calculate the remainder when o is divided by n.
4
Let u(w) = -5 + 1 - 13*w + 3 + 2. Suppose -4*l + 1 = -3*o, 3*l = o - 3 - 0. What is the remainder when u(o) is divided by 21?
19
Let x(p) = p**2 - p. Let k be x(2). Suppose -2*m + 32 = o, -k = m - o - 3*o. What is the remainder when 52 is divided by m?
10
Suppose -10*v - 360 = -18*v. What is the remainder when v is divided by 17?
11
Let c(y) = 2*y + 4. Let f be c(0). Let l(q) = 10*q + 1. Calculate the remainder when l(f) is divided by 22.
19
Let v(r) = r**2 - 8*r + 52. Calculate the remainder when v(11) is divided by 11.
8
What is the remainder when 9940/120 - (-2)/12 is divided by 69?
14
Let k(v) = -16*v + 26. Calculate the remainder when k(-7) is divided by 14.
12
Suppose 0 = 8*b - 66 - 414. Let c = 77 - b. What is the remainder when c is divided by 6?
5
Suppose -h + 234 = 2*i, 3*i - 4 = 8. What is the remainder when h is divided by 46?
42
Suppose 1136 = 5*q + 1091. Calculate the remainder when 227 is divided by q.
2
Let y(h) = -4 - 6*h - 157*h**2 + 3*h + 163*h**2 - h**3. What is the remainder when 47 is divided by y(4)?
15
Let s = 1124 + -1115. What is the remainder when 222 is divided by s?
6
Let x(u) = 2*u + 10. Let a be x(-3). Suppose 2*b - 1 = -d + 3, 4*d + 2*b = 34. Calculate the remainder when ((-38)/(-4))/(a/8) is divided by d.
9
Let p(o) = -169*o + 29. Calculate the remainder when p(0) is divided by 25.
4
Suppose -14*w + 15 = -11*w. Suppose -5*g = -w*j + 45 - 5, 4*j - g = 41. Let o(a) = 44*a**3 - 1. Calculate the remainder when o(1) is divided by j.
10
Let d be (-44)/20 - (-1)/5. Let y be (-1)/(-2)*(-12)/d. Suppose 0 = 3*g - 5*t - 55, -8 = y*t + t. Calculate the remainder when g is divided by 9.
6
Let m(b) = -b**2 + 16*b - 22. Let g be m(10). Suppose w - 5*v - 43 = 0, -2*v = -2*w + 4*w - g. What is the remainder when 160 is divided by w?
22
Let q = -60 + 152. What is the remainder when q is divided by 39?
14
Suppose -3*i = u - 1057, 5*i - 27*u - 1764 = -31*u. Calculate the remainder when i is divided by 71.
68
Let d be (-212)/3*45/(-15). Calculate the remainder when d/6*(-3)/(-2) is divided by 14.
11
Let i = -235 + 288. Suppose 2*m - 3*z - 17 = -4*z, -m = -5*z - 36.