 the remainder when 69 is divided by f?
9
Let h = -1166 - -1194. Calculate the remainder when 33 is divided by h.
5
Calculate the remainder when 1360/12 + 7/(-21) is divided by 38.
37
Let k(p) = 192*p**2 - 2*p - 1. Let u be k(-1). Let s = u - 8. Suppose 0 = 13*i - 18*i + s. Calculate the remainder when i is divided by 13.
11
Let h(z) = -40*z**2 - 2 - 21*z + 28*z**2 - 2*z + 12 - z**3. What is the remainder when h(-10) is divided by 21?
19
Let v be 184/10 - (-14)/(-35). Suppose 55 - v = t. What is the remainder when 108 is divided by t?
34
Let l(r) = -8*r - 1. Suppose -3*v - v = -2*w + 12, 3*v = 4*w - 19. Let b be l(v). Suppose -q = b - 31. What is the remainder when 117 is divided by q?
21
Calculate the remainder when 333 is divided by 12 - (5 + 0 + -9).
13
Suppose 0 = -q - 2 + 8. Let m(o) = -3*o + 43. Let l(c) = c + 16. Let h be l(-9). Calculate the remainder when m(h) is divided by q.
4
Suppose 2*n + h - 22 = 192, 0 = 5*n - 5*h - 505. Let o(y) = 3*y**2. Let c be o(-2). Suppose -3*k = -c - 69. What is the remainder when n is divided by k?
24
Let w(f) = 2*f**2 + 11*f + 3. Let x be w(-6). Suppose -a - x = -5*b + 319, -a + 134 = 2*b. Calculate the remainder when b is divided by 35.
31
Let s(x) = -x**3 - 11*x**2 - x + 3. Let a = 16 - 14. Suppose 0*z = z + j - 4, a*z = -4*j. Calculate the remainder when s(-11) is divided by z.
6
Let y = 321 - 135. What is the remainder when y is divided by 21?
18
Let q(i) = -15*i**3 + 2*i**2 - i. Calculate the remainder when q(-3) is divided by 61.
60
Suppose -30 = -9*t + 132. What is the remainder when (t - 24)*2/(-6) is divided by 2?
0
Suppose -4*l + 3*d = -61, 5*d + 1 = 26. Let p(h) = h**3 + 46*h**2 - 48*h + 7. What is the remainder when p(-47) is divided by l?
16
Let q(w) = w**2 - 3*w + 4. Let p be q(3). Suppose 3*n = 4*z + 23, -6*n + p*n = z - 19. Calculate the remainder when 7 is divided by 5/3 + 3/n.
1
Let v(x) be the first derivative of 21*x**3 - 3*x**2/2 + 2*x + 9. What is the remainder when v(1) is divided by 16?
14
Let z be (2 + -3)/((-1)/(-5)). Let y(b) = 5 - 4*b + 5*b - 4 + 5. Calculate the remainder when 3 is divided by y(z).
0
Suppose -5*y - u = -2913, 2*y + 5*u - 1161 = 6*u. What is the remainder when y is divided by 45?
42
Let g be (2 - 1)/((-2 - -1)/(-359)). What is the remainder when 8/(-16) - g/(-2) is divided by 30?
29
Let m(l) = 7 - 7*l - 4*l + 10*l. Suppose t - 2*t = -46. What is the remainder when t is divided by m(-5)?
10
Let z be 28*(4 - (-15)/(-5)). Let j = -17 + z. Suppose 4*k - 8 = -2*u, -u + 1 = 3*k - 7. Calculate the remainder when j is divided by k.
3
Let j(s) = s**2 + 11*s + 29. What is the remainder when 282 is divided by j(-15)?
15
Let u(l) = -l**3 - 6*l**2 - 4*l - 13. Let s = 27 + -45. Let t be 4/(3*4/s). Calculate the remainder when u(t) is divided by 7.
4
Let h be 20/8*(-6)/(-15). Let s be (-85)/(-5) + (-1 - h). Let c = 8 + s. What is the remainder when 66 is divided by c?
20
Suppose -16*s - 177 + 1489 = 0. Calculate the remainder when s is divided by 22.
16
Let l = 24 + -13. Suppose 0 = l*g - 7*g - 172. What is the remainder when g is divided by 333/15 - 2/10?
21
What is the remainder when 192 is divided by (1716/91)/((-2)/(-7))?
60
Let a be 5 + (-2 - -1) - 4. Suppose -7*g + 2*g = 3*n - 28, a = -g - n + 4. Let p = 5 + g. Calculate the remainder when 51 is divided by p.
12
Let r(c) = -c**3 - 12*c**2 + c + 14. Suppose 0*b + x = -2*b - 15, 2*x = -6. What is the remainder when 0 + -2*15/b is divided by r(-12)?
1
Let g(m) = m**3 - 2*m**2 + 6*m - 4. Suppose p - 4 = 8. Suppose -3*h - 2*t = -3, 0*h + 5*h + t = p. Calculate the remainder when 66 is divided by g(h).
20
Let x be (-52)/(-14) + 4/14. Calculate the remainder when (-20)/(-6)*9/5 is divided by x/(-22) + 48/22.
0
Suppose 0*w - 12 = -4*w. Calculate the remainder when 53 is divided by 142/8 - w/(-12).
17
Suppose 0 = 8*b + 4*b - 1032. What is the remainder when b is divided by 46?
40
Suppose 0 = 18*g - 0*g - 198. Calculate the remainder when 294 is divided by g.
8
Let z(k) = -69*k + 7. Let s(t) = -35*t + 4. Let u(h) = -13*s(h) + 6*z(h). What is the remainder when u(3) is divided by 13?
9
Suppose 2*i - 3 = -3*k, i = -i + 6. Let u be 5 - 3 - (-12 - k). Suppose 3*w - 53 = u. Calculate the remainder when w is divided by 5.
2
Calculate the remainder when 158 is divided by -2 - 2 - (20 + -72).
14
Suppose 28*r - 9*r - 304 = 0. Let p = 306 - 215. Calculate the remainder when p is divided by r.
11
Let x = 1578 + -1571. Calculate the remainder when 718 is divided by x.
4
Let w(d) = -d**2 + 70*d - 203. Calculate the remainder when w(53) is divided by 20.
18
Let x(c) = -5*c + 4*c + 0*c - 3*c. Let l be x(-3). What is the remainder when 58 is divided by 5/(-1 - (-14)/l)?
28
Let m(y) = y**2 + 10*y + 13. Let g(w) = -2*w - 3. Calculate the remainder when m(-9) is divided by g(-2).
0
Let r(u) = u**3 - 10*u**2 - 42*u + 48. Calculate the remainder when 230 is divided by r(13).
5
Suppose 5*i + 4*f - 73 = 0, -2*i + 6*f - 3*f = -20. Let y = 160 + -71. What is the remainder when y is divided by i?
11
Let a(s) = 10*s**2 + 9*s + 5. Let o(f) = -10*f**2 - 9*f - 4. Let x(g) = 5*a(g) + 4*o(g). Calculate the remainder when x(-5) is divided by 36.
34
Suppose -4*n = -5*r - 31, 2*n - 33*r + 28*r = 3. Calculate the remainder when (-1668)/(-10) - (-2)/10 is divided by n.
13
Let k(d) = 18*d**2 + d + 2. Suppose 5*m - 75 = -5*i, -5*m - 4*i - 80 = -8*m. What is the remainder when k(2) is divided by m?
16
Let r = 176 - 109. Calculate the remainder when r is divided by 10.
7
Suppose -3*y = -3*i - 18, -3*y + y + 4*i + 6 = 0. Let g(s) = -s**2 + 18*s - 17. What is the remainder when g(y) is divided by 10?
4
Let u = 91 + -90. What is the remainder when (-198)/(-22)*u/(1/6) is divided by 21?
12
Suppose -f + 2*f = 4*x - 258, 4*x = -2*f + 252. Suppose -x = -h - 28. Suppose -5*g = -h + 11. What is the remainder when 9 is divided by g?
4
Suppose 0 = w - i - 29, -5*w + 168 - 43 = -i. Let r = 1534 - 775. Suppose -6*s + 17*s = r. What is the remainder when s is divided by w?
21
Let z(m) = m - 10. Let j be z(10). Let u(t) = -t**3 - t + 7. Calculate the remainder when 10 is divided by u(j).
3
Let d(i) = i**2 + i - 4. Let h be d(-3). Suppose -5*c + 5*x = 14 - 84, -h*c + 23 = 3*x. Calculate the remainder when c is divided by 8.
5
Suppose 0 = -1113*v + 1124*v - 2728. Calculate the remainder when v is divided by 26.
14
Let v(z) be the second derivative of z**4/6 + z**3/6 + z**2/2 - 11*z. Let q be v(-5). Suppose -2*g + q = -16. Calculate the remainder when 90 is divided by g.
28
Calculate the remainder when (2 + 8/(-2))/(86/(-2881)) is divided by 12.
7
Let l(m) be the second derivative of -4*m**3/3 - 5*m**2/2 + 10*m. Calculate the remainder when 18 is divided by l(-1).
0
Let b = 662 - 653. What is the remainder when 305 is divided by b?
8
Suppose -3*p + 45 = 2*x, 4*p = x + 2*p - 33. Let i = 53 - x. Calculate the remainder when 50 is divided by i.
24
Let y(u) = -u**3 - u**2 + u + 8. Let h = -3979 + 4024. Calculate the remainder when h is divided by y(0).
5
Let q = -10 - -26. Suppose 2*x - 74 = -q. Let n = -37 + 43. Calculate the remainder when x is divided by n.
5
Let k(u) = -u**3 + 25*u**2 - 31*u + 210. Calculate the remainder when 149 is divided by k(24).
23
Let z = -7 + 12. Let f = -5 + z. Suppose f = -2*x + x + 13. Calculate the remainder when 47 is divided by x.
8
Suppose 17*x - 5070 = -854. What is the remainder when x is divided by 25?
23
Suppose 0 = 4*m - 215 - 257. What is the remainder when m is divided by 21?
13
Let v(p) = -p**3 - 10*p**2 + 38*p + 21. Calculate the remainder when v(-14) is divided by 5.
3
Let n = -29 - -169. Calculate the remainder when n is divided by 37.
29
Let x = -499 + 506. What is the remainder when 73 is divided by x?
3
Let i(o) = -o + 11. Let w be 140/42 - 1/3. Suppose 0 = a + 4, 3*f = f + w*a + 18. Calculate the remainder when i(-2) is divided by f.
1
Suppose 142 = 3*d + d - 2*x, -4*d + x = -137. What is the remainder when (-4)/6*d/(-2) is divided by 3?
2
Suppose 3*i + 10*m = 13*m + 204, 5*i - 334 = 3*m. What is the remainder when 255 is divided by i?
60
Let r(p) = -8*p**2 - 133*p + 19. Calculate the remainder when r(-16) is divided by 39.
21
Calculate the remainder when 1725/(-46)*6/(-5) is divided by 14.
3
Let t = -356 - -375. What is the remainde