
15
Let l = 422 - 408. What is the remainder when 236 is divided by l?
12
Suppose 13 + 1 = 2*y. Suppose -y*t = -t - 18. Let p(v) = v**2 - 10*v + 12. What is the remainder when t is divided by p(9)?
0
Suppose 4*a - 7*a - 3 = 0. Let l = -26 - -106. What is the remainder when l is divided by a/8 + 651/24?
26
Suppose -4*k - 2*l = -14, -5*l + 6 = 3*k - 15. Suppose o - 5*v + 12 = 0, 0 = k*o - v - 4*v + 9. Let f = 0 + 4. Calculate the remainder when f is divided by o.
1
Let h(f) = f**2 + 3*f + 5 - 2*f**2 + 0*f**3 - f**3 - f. Calculate the remainder when 14 is divided by h(0).
4
Let o(r) = 45*r - 1. What is the remainder when o(6) is divided by 54?
53
Suppose -3*b - 62 = -59, -2*b - 637 = -5*p. What is the remainder when 380 is divided by p?
126
Let p(c) = 9*c + 21. What is the remainder when p(40) is divided by 124?
9
Let m = 58 - 100. Let s = 74 + m. Calculate the remainder when s is divided by 22*(6 - 22/4).
10
Let q(m) = m**2 + 4*m + 4. Let l be q(-7). Let v = l - 9. Suppose -290 = 8*p - 18*p. What is the remainder when p is divided by v?
13
Suppose 0 = 4*o + 11 + 5. Let j be (-222)/(-42) - o/(-14). Suppose -j*g + 32 = -3*g. Calculate the remainder when 29 is divided by g.
13
Let v be (-21)/(-12) - 1/(-4). Suppose 0 = v*o + q - 15, -5*o + 2*q + 45 + 6 = 0. Calculate the remainder when o is divided by 6.
3
Calculate the remainder when (44/(-22))/(135/(-67) + 2) is divided by 15.
14
Let q(h) = -2*h**2 + 18*h - 21. Let d = -125 + 212. What is the remainder when d is divided by q(6)?
12
Let p(b) = -2*b**3 - 2*b**2 + 6*b + 14. Let n be p(-7). Suppose 2*y + 5*y = n. Calculate the remainder when y is divided by 27.
26
Suppose -7*z = 5*n - 2*z, 0 = -4*z + 8. Calculate the remainder when 4/n*(-85)/10 is divided by (36/4)/((-3)/(-2)).
5
Let a(g) = -g**2 + 88*g - 1310. Suppose -5*n - 5*w = 0, -2*w + 6 - 27 = -5*n. What is the remainder when n is divided by a(69)?
0
Let j(o) = 14*o + 3. Calculate the remainder when j(4) is divided by 30.
29
Suppose -c + 74 = -3*z + 8*z, -4*c = -5*z + 54. Calculate the remainder when 26 is divided by z.
12
Suppose -5*l - 3*s + 78 = 0, -5*l - s = -70 - 16. Let j = 19 + -18. Let a = l - j. Calculate the remainder when a is divided by 9.
8
Suppose 2*t = x - 9 + 57, 4*x + 17 = t. Calculate the remainder when 108 is divided by t.
8
Suppose 10*c = 6*c + 100. What is the remainder when c/100 - 110/(-8) is divided by (-2)/7 + (-30)/(-7)?
2
Let o be ((-4)/(-3))/((-3)/(-9)). Suppose p - 110 = -o*p. Calculate the remainder when p is divided by 2/12 + (-490)/(-84).
4
Suppose 3*o + 0*b = b + 808, 1088 = 4*o - 4*b. What is the remainder when o is divided by 18?
16
Let w(o) = -o**3 - 16*o**2 - 16*o + 23. Calculate the remainder when 54 is divided by w(-15).
16
Suppose -9*a = -6*a - 15. Suppose -2*n + a*j = 2*n - 92, -3*j - 46 = -2*n. Calculate the remainder when n is divided by 15.
8
Let r(k) = -2*k**2 + 34*k - 10. Let u be r(11). Let c = 130 - u. Calculate the remainder when 79 is divided by c.
7
Let q = 20 + -16. Calculate the remainder when (-11)/q*56/(-7) is divided by 8.
6
Suppose 684 - 4140 = -36*k. Calculate the remainder when k is divided by 24.
0
Let k = -233 + 288. What is the remainder when 271 is divided by k?
51
Let a = -374 + 385. What is the remainder when 39 is divided by a?
6
Let c(d) = -9*d - 98. Calculate the remainder when 10 is divided by c(-11).
0
Let i(f) = f**2 + 20*f - 42. What is the remainder when i(5) is divided by 12?
11
Let n be 10/((-1)/(1/(-2))). Let k(j) = 0*j + 6 - j**2 + 6*j + 4*j - 3*j. Calculate the remainder when 46 is divided by k(n).
14
Let u = -26 - -25. Calculate the remainder when 117 is divided by 26 - (0 + (-5 - u)).
27
Let h(l) = l**3 + 54*l**2 - 55*l + 89. Calculate the remainder when h(-55) is divided by 25.
14
Let f be (-2)/8 + (-369)/(-36). Calculate the remainder when 864/f + (-28)/70 is divided by 22.
20
Suppose 0 = -3*z + 2*t + 37, -3*z - 4*t = z - 16. Let m(y) = 2*y**2 - 10. Let c be m(z). Suppose -4*o + c = 4. Calculate the remainder when o is divided by 10.
7
Let j(u) = -2*u**3 - 2*u**2 - 2*u. Suppose 16 = -2*g - 3*l - 0*l, -3*g - 5*l = 26. Calculate the remainder when 35 is divided by j(g).
11
Suppose 3*k - 158 = -4*q, 0 = -2*q + 4 - 6. Calculate the remainder when k is divided by (-4)/14 + 200/14.
12
Suppose -2*d + y + 121 = -102, 0 = -d + y + 110. What is the remainder when d is divided by 19?
18
Let p(l) = l + 25. Calculate the remainder when p(6) is divided by 9.
4
What is the remainder when (-114)/(-4)*(-144)/54*-2 is divided by 14?
12
Suppose 0 = -t - x - 4 + 3, -4*t + x + 6 = 0. Suppose 0 = -5*v - 4*d + 105, -v + 3 - t = -3*d. Calculate the remainder when (-2464)/(-56)*6/8 is divided by v.
16
Let a = 858 - 847. What is the remainder when 24 is divided by a?
2
Suppose 5*c - 31 = 4*c + 5*l, 20 = -4*l. Suppose -4*r + c = -50. What is the remainder when 38 is divided by r?
10
Let c be 42/(20/5 + -3). Suppose 3*x + 4*d = c, -x + 22 = d + 3*d. Let z = 0 + 3. Calculate the remainder when x is divided by z.
1
Let c = 46 + -41. Let y(n) = n**3 - 6*n**2 + 6*n - 1. Calculate the remainder when y(c) is divided by 1.
0
Suppose 40*c = 42*c - 1230. What is the remainder when c is divided by 56?
55
Suppose 5*o + 5 = -10. Calculate the remainder when 98 is divided by 25*2/(-6)*o.
23
Suppose 5*q = -3*j + 77, -8*j = -6*j - 8. Suppose -106 = -2*o + 98. Calculate the remainder when o is divided by q.
11
Suppose 0 = 12*o - 3*o - 252. Calculate the remainder when 109 is divided by o.
25
Suppose -8 = -4*w, -5*w - 4 = -5*v + 6. Suppose 2*m = j - 11, -2*m = -5*j - m + 19. Calculate the remainder when 42/v + 10/20 is divided by j.
2
Let u(b) = b**2 - 6*b + 3. Let p be u(5). Let h = 0 + p. What is the remainder when 78 is divided by h/4 - 110/(-4)?
24
Let k(w) = -2*w**3 + 2*w**2 + 2*w - 4. Let m be k(-3). Suppose 3*r = 2*r + m. Suppose 13*b = 24*b - 176. Calculate the remainder when r is divided by b.
14
Suppose 5*t = 4*t + 24. Suppose 19*d + 30 = t*d. Suppose d*a = 9*a - 174. Calculate the remainder when a is divided by 12.
10
Let i = 95 - -8. Suppose 44*b = 41*b + 78. What is the remainder when i is divided by b?
25
What is the remainder when -1 + (5 - (6 + -1)) - -158 is divided by 41?
34
Suppose 139 = 5*v - 4*n - 166, -3*n - 310 = -5*v. What is the remainder when v is divided by 34?
31
Suppose 5*j - 5 = 0, 4*i - 40*j + 39*j = 39. Calculate the remainder when 589 is divided by i.
9
Suppose 0 = -25*t + 21445 + 21605. What is the remainder when t is divided by 25?
22
Let h(t) = t**2 + 11*t + 23. Let s be h(-8). Calculate the remainder when (87/(-6))/(s/2) is divided by 15.
14
Let m(a) be the first derivative of a**4/4 + 4*a**3/3 - 15*a**2/2 - a + 18. What is the remainder when 63 is divided by m(-6)?
12
Suppose 8*d + 3 = 9*d. Suppose 0 = -d*v + v + 142. Calculate the remainder when v is divided by 18.
17
Let d(o) = 20*o**2 - 2*o - 2. Let g be d(-1). What is the remainder when 7*(-5)/g*-8 is divided by 10?
4
Suppose 0 = 5*f + z - 72, -30 = -f + z + 4*z. Calculate the remainder when (-2)/9 - 398/(-9) is divided by f.
14
Let a(v) be the third derivative of -v**6/120 - 3*v**5/20 - 5*v**4/12 - 2*v**3/3 + 8*v**2. Let y = 2 - -3. What is the remainder when a(-8) is divided by y?
2
Suppose 0 = i - 0 - 4. Suppose -5*x + 17 = -4*u - 13, -i*x - u + 24 = 0. Suppose x + 8 = 2*o. Calculate the remainder when 40 is divided by o.
5
Let w(p) be the third derivative of p**4/12 - 13*p**3/6 + 11*p**2. Let a be w(9). Suppose -6*r = -a*r - 9. Calculate the remainder when 25 is divided by r.
7
Let h = 13 + -11. Suppose h*m - g = -19, -24 = 5*m + g + 27. Let c(l) = -l**2 - 13*l - 5. What is the remainder when c(m) is divided by 9?
7
Suppose g = 0, 0 = 2*v + 4*g + 1 - 25. Suppose -56 = -4*c + v. What is the remainder when c is divided by (-10)/(-4)*(2 + 2)?
7
What is the remainder when 2/(-2)*11260/25*-5 is divided by 98?
96
Let y(q) = 9*q**2 - 6*q + 8. Let h be y(3). Suppose h*w - 79*w + 504 = 0. What is the remainder when w is divided by 22?
19
What is the remainder when (-1422)/(-6) - 7 - 7 is divided by 15?
13
Let y(d) = 25*d + 526. Calculate the remainder when y(-6) is divided by 88.
24
Let t(o) = o + 5. Let m(i) = 4*i + 16. Let d(u) = 4*m(u) - 14*t(u). Let f = 2735 - 2732. What is the remainder when d(6) is divided by 