der when 31 is divided by s.
15
Let c(w) = 8*w**2 - w. Let a be (24*2)/2 - -3. Let r be 2/(-9) - (-33)/a. What is the remainder when c(r) is divided by 5?
2
Let s be 6/5*60/18. Suppose c + s - 8 = 0. Calculate the remainder when 48 is divided by 18 + (-4 + 0)/c.
14
Let c(m) = -4*m + 3*m - 51*m**3 - 2*m**2 + m**2. Let d(i) = -538*i + 4851. What is the remainder when c(-1) is divided by d(9)?
6
Suppose -5*v - 45 = -0*d - 4*d, v + d + 9 = 0. Let o be (876/v)/((-1)/(-3)). Calculate the remainder when (-2 + 14/8)*o is divided by 19.
16
Suppose 0 = -86*f + 91*f + 2*l - 80, -3*l = 0. Calculate the remainder when 115 is divided by f.
3
Suppose -5*n + 183 = 3*k - 70, -n + 47 = -3*k. What is the remainder when n is divided by 24?
2
Suppose 7808*a = 7810*a - 570. What is the remainder when a is divided by 106?
73
Let l = 86 - 39. Suppose 4*a + 36 = -0*a. Let o(q) = q**2 + 8*q + 3. What is the remainder when l is divided by o(a)?
11
Suppose -69*x + 47*x + 770 = 0. Calculate the remainder when x is divided by 2.
1
Let b(i) = -i**3 + 6*i**2 + i + 7. Let w be b(6). Let m = 31 - w. Calculate the remainder when 70 is divided by m.
16
Suppose -8*p - 418 = -1594. Calculate the remainder when p is divided by 17.
11
Let v(l) = l**3 + 15*l**2 - 18*l - 30. Let c be v(-16). Suppose 5*i - 453 = c*h, -4*h = 2*i - 122 - 64. What is the remainder when i is divided by 23?
22
Let r = 16 - 22. What is the remainder when 45 is divided by ((-14)/r + -3)/((-2)/36)?
9
Let w(z) = -z**3 + 10*z**2 + 11*z + 4. Let t be w(11). Suppose 0 = t*c - 41 - 83. What is the remainder when c is divided by 17?
14
Suppose -19*c + 52 = -2817. What is the remainder when c is divided by 80?
71
Suppose -15*v = -397 - 248. Calculate the remainder when 97 is divided by v.
11
Let u(p) = 6*p + 19. Let q(c) = c**2 + 19*c - 20. Let f be q(-20). Calculate the remainder when 75 is divided by u(f).
18
Suppose 6 = 2*z + 2. Suppose 2*m = 2*f + 18, -4*m + 30 = -z*m + f. Calculate the remainder when 23 is divided by m.
10
Let y(p) = -6*p + 309. Calculate the remainder when y(-8) is divided by 60.
57
Let v(k) = -2*k**2 - 12*k + 6. Let g be v(-6). Suppose -n + g = -5. Suppose 3*b - 55 = -3*j + 2*b, 5*b = -j + 9. What is the remainder when j is divided by n?
8
Let l = -7378 - -7404. Let x be (-3)/((-2)/2*-1). Calculate the remainder when 404/(-6)*x/2 is divided by l.
23
Let r = -7 + -2. Calculate the remainder when (-1065)/r + 1/(-3) is divided by (25 - -4) + 1/(-6 + 7).
28
Let k = -294 + 312. Calculate the remainder when 19 is divided by k.
1
Suppose 16 = g + 5*j, -1 = -0*j + j. Suppose g*v = 2*v + 247. What is the remainder when 44 is divided by v?
5
Let t(u) = -4*u**2 + 160*u - 79. What is the remainder when t(39) is divided by 1?
0
Let k be (-4)/10 - 7/(-5). Let a be 60/(-8)*(k - -9). Let u = a - -129. Calculate the remainder when u is divided by 14.
12
Let x be 1/10*2 - 234/(-30). What is the remainder when 23 is divided by 24*(4/x - 0)?
11
Let g = -93 - -80. What is the remainder when 105 is divided by 1694/143 + (-2)/g?
9
Calculate the remainder when ((-68)/(-10))/(7 - 238/35) is divided by 5.
4
Let k be (3 + 1)/((-6 - -5) + 0). What is the remainder when (-1513)/(-34) - (6/k + 1) is divided by 23?
22
Suppose -4*c + 22 - 66 = 4*f, 0 = 5*c. Calculate the remainder when (-2)/f - (-3064)/88 is divided by 12.
11
Suppose 571 + 125 = 6*i. Calculate the remainder when i is divided by 56.
4
Suppose 7*u - 43 = 27. What is the remainder when 189/15*u/2 is divided by 13?
11
Suppose 5*i - 35 = 2*i - 2*r, 2*r - 8 = 0. Calculate the remainder when (-306)/(-9) - (2 - 1 - 0) is divided by i.
6
Let k(f) = f + 6. Let z be k(0). Let i = 0 + z. What is the remainder when 156/15 + (-2)/5 is divided by i?
4
Suppose 4*b - b = 15. Suppose -b*f + 2*f = 0. Suppose -4*p = -f*p - 92. Calculate the remainder when 66 is divided by p.
20
Suppose 2*r - 6 + 2 = 0. Suppose r*p - 31 = -y, 83 = 3*y + 3*p + p. Calculate the remainder when 10/((y/24)/7) is divided by 27.
26
Suppose 15*l + 184 - 1219 = 0. Suppose 3*g = 5*g - 48. Calculate the remainder when l is divided by g.
21
Let p(t) = t**2 + 8*t - 75. Calculate the remainder when 11 is divided by p(-14).
2
Let d(r) = -62*r**3 + r**2 - 2*r - 2. Calculate the remainder when 247 is divided by d(-1).
58
Let p be (0/1)/(-2) + -343. Let n = -200 - p. What is the remainder when n is divided by 48?
47
Let o be (-279)/(-2)*22/(-33). Let c = 51 - o. What is the remainder when c is divided by 29?
28
Let r = 13 + -7. Let a be (19/4)/(r/24). Let x = 28 - a. What is the remainder when 17 is divided by x?
8
Let a = 5 + -1. Let n = -195 - -196. What is the remainder when a is divided by n?
0
Suppose 10*f - 7530 = 19110. What is the remainder when 86 is divided by f/120 + 1/(-5)?
20
Suppose -5*y + a = -110 - 135, a = -4*y + 187. Calculate the remainder when y/(-9)*(-42)/4 is divided by 4/(-6) - 59/(-3).
18
Suppose -3*m + 243 = -0*m. Let i = 9439 - 9418. Calculate the remainder when m is divided by i.
18
Suppose -12*g - 54 = -18*g. Let t(r) = r**3 - 7*r**2 + 3. What is the remainder when g is divided by t(7)?
0
Suppose 4*d = -f + 2*f - 23, 4*d + 8 = -4*f. Suppose 8*h = f*h + 125. Let k(p) = p**3 + 10*p**2 + 7*p + 7. What is the remainder when k(-5) is divided by h?
22
Suppose 178*o = 240 + 4922. Suppose 4*n - 8 = 3*n. What is the remainder when o is divided by n?
5
Let a(w) = -w + 112. Suppose -5*s = -s. Let c be a(s). Suppose 4*f - 5*g - c = 0, 5*g + 96 - 30 = 2*f. Calculate the remainder when 67 is divided by f.
21
Suppose 0 = -16*j + 71*j - 5555. Calculate the remainder when 106 is divided by j.
5
Suppose 3*w - 57 = 4*s, 2*w - 5*s - 27 = 11. Let g = 4 - -1. Let n = w - g. What is the remainder when 41 is divided by n?
13
Suppose 486 = 10*p - 16*p. Suppose -513 - 8 = -4*f + 3*m, -3*f = -m - 392. Let s = f + p. Calculate the remainder when s is divided by 17.
16
Let f(w) be the second derivative of -w**5/20 + w**4/2 + 5*w**3/6 - 2*w**2 - 4*w. Calculate the remainder when f(6) is divided by 14.
12
Suppose 77 = 5*q + 6*q. What is the remainder when 174 is divided by 177/q - ((-30)/(-21))/5?
24
Let c(o) = -3*o + 22. Let u be c(6). Suppose -l + 173 = u*b - 6*l, 5*l = 3*b - 136. What is the remainder when b is divided by 8?
5
Let p(r) = -6*r + 84. Calculate the remainder when p(-12) is divided by 53.
50
Suppose -q + 41 = 2*q + 2*a, -2*q = -a - 32. Let x be 43 - (1 + -1)/(-1). Suppose -x = p - 2*p. What is the remainder when p is divided by q?
13
Let w(c) be the first derivative of 3*c**2 - 3*c - 25. Suppose 3*b = -b + 12. What is the remainder when w(b) is divided by 6?
3
Suppose 36*s = -1678 + 12802. What is the remainder when s is divided by 52?
49
Calculate the remainder when (90 - 84)*(-110)/(-4) is divided by 17.
12
Suppose -299 = -3*i - 20*i. What is the remainder when 24 is divided by i?
11
Suppose 0 = -4*b - 3*q + 201, 18*q - 16*q + 53 = b. What is the remainder when 100 is divided by b?
49
Let x = 380 - 285. Calculate the remainder when x is divided by 29.
8
Let y = 57 + -52. Suppose -4*u = -4*p - 7*u - 20, -5*p + 3*u = 52. Let s = p - -26. Calculate the remainder when s is divided by y.
3
Let i = -28 + 48. Let m be (-735)/(-12) + (-5)/i. Suppose -2*l + h = -0*l - 49, -4*h - m = -3*l. What is the remainder when l is divided by 7?
6
Let t(r) = 7*r - 3. Let w be t(1). Suppose -3*q + v + 6 = -w*v, -2*v = -q + 1. Calculate the remainder when 12 is divided by q.
5
Let r(t) = t**2 - 21*t + 36. Let n(o) = -o + 16. Let m be n(-4). What is the remainder when r(m) is divided by (-28)/(-6)*3/2?
2
Suppose -5*j - 4*a + 2*a + 62 = 0, -j - 3*a = -2. Let l be (411/15)/((-1)/(-5)). Let k = l + -69. What is the remainder when k is divided by j?
12
Let d(r) = -r + 8. Let m = 1 - -3. Suppose 0 = -4*p - m*x - 12, -p - 5*x + x + 9 = 0. Calculate the remainder when d(p) is divided by 9.
6
Let j = 24 + -20. Let v = j + 44. What is the remainder when v is divided by 13?
9
Let m be (((-2)/(-3))/1)/((-36)/(-594)). Suppose m*j - 251 = 79. Suppose 0 = 5*d - 28 - 52. Calculate the remainder when j is divided by d.
14
Suppose 4*i = -12*t + 7*t + 544, -116 = -t + i. Let f = 9 - -10. What is the remainder when t is divided by f?
17
Let a(s) = 2*s**3 + s**2 - 6*s + 3. What is the remainder when a(4) is divided by 36?
15
Suppose f -