15
Let i(o) = o**2 + 6*o + 1. Let b be i(-4). Let d(g) = -g**3 - 7*g**2 - 3*g + 3. What is the remainder when (-3)/(-4) - (-273)/4 is divided by d(b)?
21
Let h = 145 + -96. Calculate the remainder when h is divided by (0 - -3)/6*26.
10
Suppose -i - 78 + 111 = 0. What is the remainder when i is divided by 18?
15
Let f(q) = q**3 - 5*q**2 + 2*q - 2. Suppose 5*o = -4*z + 20 + 3, 2*o + 2 = 0. Suppose -z*u + 63 = -4*u. Calculate the remainder when u is divided by f(5).
5
Suppose 3*d - 113 = -3*h - 29, -4*h = 5*d - 142. What is the remainder when 86 is divided by d?
26
Let s(y) = -y**3 + 8*y**2 - 5*y - 7. Let m = -190 + 208. What is the remainder when m is divided by s(7)?
4
Let v(m) = 4*m + 4. Suppose -8*n - 378 + 98 = 0. Let w = 44 + n. Calculate the remainder when v(7) is divided by w.
5
Let z = 669 + -306. What is the remainder when z is divided by 7?
6
Let g be (35/(-28))/(2/(-24)). Suppose -b + g = 2*b. Let h(d) = d - 3. What is the remainder when 5 is divided by h(b)?
1
Let i(v) = v**3 - 12*v**2 - 16*v - 10. Let s be i(13). Let u = s + 80. What is the remainder when u + 4 + -4 - 2 is divided by 10?
9
Suppose -5*u + 669 = a, -5*u - 3*a = -3*u - 278. Let b = 34 + 0. What is the remainder when u is divided by b?
31
Let i(u) = -u**2 - 8*u. Suppose 0 = -5*d - 11 - 19. Let r be i(d). Let k = 4 + r. Calculate the remainder when 29 is divided by k.
13
Let o = -258 - -122. Let v = 1 + 17. What is the remainder when o/6*(-21)/14 is divided by v?
16
What is the remainder when 353 is divided by (9/(-18))/(-2 - (-566)/284)?
69
Let i = -399 + 412. What is the remainder when 63 is divided by i?
11
Let v(f) = -11*f + 63. What is the remainder when v(0) is divided by 22?
19
Suppose -5*l = 2*t - 35, -15 = l - 3*t - t. Suppose -83 + 8 = -l*w. Let n = 5316 - 5310. What is the remainder when w is divided by n?
3
Let v be (5/(-3))/(4/(-12)). Suppose -v*p + 88 = -p. Let y(i) = 2*i**2. What is the remainder when p is divided by y(-2)?
6
Let c be (-8)/(-3)*6/(-4). Let g be -1*(-4)/c + 2. Let a(u) = 10*u**2 + 2*u - 1. Calculate the remainder when 20 is divided by a(g).
9
Suppose 6*f = 26*f - 840. Let v(m) be the second derivative of -m**5/20 - 7*m**4/12 - m**3/3 - 3*m**2/2 - m. What is the remainder when f is divided by v(-7)?
9
Let k(n) = -n**3 - 48*n**2 + 578*n + 5. Calculate the remainder when 723 is divided by k(-58).
118
Let g = 20 + -18. Suppose 0 = 4*o + 4*h - 13 - 67, h = g*o - 34. Calculate the remainder when 50 is divided by o.
14
Let x(k) = k**3 - 3*k**2 - k - 4. Suppose -2*m + 28 = 5*d, -3*m + 32 = 6*d - d. What is the remainder when x(d) is divided by 4?
0
Let b(z) = 36*z - 269. Calculate the remainder when 175 is divided by b(9).
10
Let m(k) = k**2 + 14*k + 5. What is the remainder when 140 is divided by m(-16)?
29
What is the remainder when (104/10)/((-86)/(-430)) is divided by 18?
16
Suppose -15 = -4*p + 25. What is the remainder when 17*1*(-1 - -2) is divided by p?
7
Let w(k) = k**3 - 6*k**2 + 4*k + 8. Let q be w(5). Suppose 0*y + 33 = q*y. What is the remainder when y is divided by 5?
1
Let v(t) = t**3 - 5*t**2 - 4*t - 7. Let h be v(6). Suppose -h*q = -11 + 6. What is the remainder when 2 is divided by q?
0
What is the remainder when (-30)/6 - (2283 + 1)/(-2) is divided by 17?
15
Suppose -2*s + 50 + 498 = 0. Suppose -4*z = -s - 82. Suppose -5*j + 20 = -130. Calculate the remainder when z is divided by j.
29
Let k = 60 - 43. Calculate the remainder when (-3)/4 - 131/(-4) is divided by k.
15
Let a(n) = -9*n. Let h(t) = t - 5. Let y be h(16). Suppose y*m - 60 - 94 = 0. What is the remainder when a(-3) is divided by m?
13
Let r(x) = 34*x + 5. Let m be r(2). Let j = m + -63. Let p = 41 - 23. Calculate the remainder when p is divided by j.
8
Suppose 88 = 554*o - 543*o. Let c = 11 - 4. Calculate the remainder when o is divided by c.
1
Let t = -860 - -1314. What is the remainder when t is divided by 19?
17
Let z = -68 - -40. Let a be (-2)/(-3) + z/(-3). Let s(v) = v**2 - 10*v + 12. What is the remainder when 46 is divided by s(a)?
10
Let w = 249 - 216. What is the remainder when 158 is divided by w?
26
Let i = -242 - -369. What is the remainder when i is divided by 16?
15
Let w(q) = -q**3 + 18*q**2 + 40*q + 5. Suppose -3*t = 12, s + 0*t - 4*t - 29 = 0. What is the remainder when s is divided by w(20)?
3
Suppose -2*o = 4*c - 20, 0 = -2*c - 3*c + 3*o + 25. Suppose c*l - 1179 = -384. What is the remainder when l is divided by 40?
39
Suppose 82*a = 84*a - 34. Suppose -2*j - a = -3*j + 5*d, 0 = -j + 3*d + 25. What is the remainder when j is divided by 13?
11
Suppose -67 = 3*y - 268. What is the remainder when y is divided by 14/((-102)/(-714) - 9/(-35))?
32
Calculate the remainder when 2849 is divided by (-2516)/(-51) - (-4)/6.
49
Suppose o + 4*z = -o + 6, 4*o + 2*z = 18. Suppose -2*i + 10 - 2 = p, 0 = 4*i + o*p - 4. What is the remainder when 40 is divided by i?
4
Suppose 4*i - 4 = 4*p, -5*i + 9 = -5*p + 2*p. Suppose 3*u - 6 = -p*l + 17, -2*u = -l - 20. Calculate the remainder when 25 is divided by u.
7
Let t(q) be the first derivative of 23*q**2/2 - 2*q + 4. Let y be t(4). Let g = 199 - y. What is the remainder when g is divided by 28?
25
Suppose 629*z + 323 = 646*z. Calculate the remainder when 262 is divided by z.
15
Let u(g) = 6*g**2 + 0 - 2*g + 3*g**2 + 2 + g**3. What is the remainder when 99 is divided by u(-9)?
19
Let r(s) = -5*s - 15. Calculate the remainder when 155 is divided by r(-13).
5
Suppose -2*x - 202 = -42. What is the remainder when 30 is divided by (x/15)/((-1)/3)?
14
Suppose -7*b - 77 = -483. Suppose -b*k + 30 = -56*k. What is the remainder when (-2 - -2) + 4*11 is divided by k?
14
Suppose 63*h = 397 + 44. Calculate the remainder when h is divided by 1.
0
Let l be 2/(-1)*(-10)/4. Suppose 44 = l*x - 136. What is the remainder when 142 is divided by x?
34
Let p = -17 - -19. Suppose -p*u - s + 246 = -4*s, 5*s + 238 = 2*u. What is the remainder when u is divided by 22?
19
Let t(c) = 2*c**2 - 5*c + 2. Let j be t(3). Suppose j*f = 3*h - 6*h + 384, 0 = -5*f - h + 378. What is the remainder when f is divided by 7?
5
Suppose 4*v - 2*k + k - 18 = 0, 4*k + 8 = 0. Let d(b) = 9*b - 12. What is the remainder when 94 is divided by d(v)?
22
What is the remainder when ((-45450)/(-1125))/((-1)/(-20)) is divided by 9?
7
Let y(r) = -4*r - 6. What is the remainder when ((-59)/(-2))/((-30)/1980*-33) is divided by y(-4)?
9
Suppose 105 = -14*y + 1701. Let m = 125 - y. What is the remainder when 76 is divided by m?
10
Let t = 140 + -128. Let b = 2 + 5. Suppose 2*j - b*j + 235 = 0. What is the remainder when j is divided by t?
11
Let t = -1795 + 1869. What is the remainder when t is divided by 5?
4
Calculate the remainder when 379 is divided by 118 - 90/60*(0 + -2).
16
Suppose 2*l + 8 = 4*l. Suppose 2*i - l*y - 360 = 0, -i + 75 + 104 = -y. Calculate the remainder when i is divided by 20.
18
Let y = -8 + 13. Let w(f) = f**2 - 4*f + 3. Let q be w(8). Suppose y = 4*a - q. Calculate the remainder when 27 is divided by a.
7
Let l = 807 + -676. What is the remainder when l is divided by 34?
29
Suppose 213*g - 215*g - m = -84, 210 = 5*g - 5*m. Let n(w) = 4*w**3 - 6*w**2 + w + 1. What is the remainder when n(4) is divided by g?
39
Let h(m) = -13*m**3 + 2*m**2 + 2*m + 1. Suppose -3*x = -3*v + v + 2, v - 4 = 0. Suppose 5*k - 24 = x*k. Calculate the remainder when h(-1) is divided by k.
6
What is the remainder when 394 is divided by 21 + (2720/442 - 2/13)?
16
Let o = 31 + 59. Let u = -26 + o. Suppose 826*n - 821*n = 65. Calculate the remainder when u is divided by n.
12
Suppose 0 = -2*v - 63 - 81. Suppose -2*j = t - 37, -t + 65 = 4*j - 2*t. Calculate the remainder when j is divided by ((-1)/3)/(4/v).
5
Suppose 5*c = -10*c + 5115. What is the remainder when c is divided by 38?
37
Let r(x) be the second derivative of x**4/6 - 13*x**3/6 + 19*x**2/2 - 31*x. What is the remainder when 38 is divided by r(5)?
2
Calculate the remainder when 4466/28*(1 - -1) is divided by 18.
13
Suppose 15*r + 9 - 294 = 0. What is the remainder when 74 is divided by r?
17
Calculate the remainder when 429 is divided by (-5)/(-45) + (670/45 - -1).
13
Suppose g + 3*l = 23, -7*g + 5*l = -2*g - 75. Let h = 10 - -23. What is the remainder when h is divided by g?
16
Suppose 22*u = 7101 + 5769. Calculate the