 n + 3*c, -136 = -2*n + c. What is the remainder when n is divided by 7?
3
Suppose -5*h - 53 = -3*b, -4*b + 64 = -0*h - 5*h. Suppose -6*t - 40 = -b*t. Let u = 29 - t. What is the remainder when 40 is divided by u?
19
Let o(q) = q**3 + 4*q**2 + 2*q. Let a be o(-3). Suppose 2*j - j = a. Calculate the remainder when 3 + j*(-11)/(-3) is divided by 3.
2
Let s = -731 + 673. Let q = -48 - -136. Let y = s + q. What is the remainder when y is divided by 11?
8
Let l be (25/(-3) - 4)/((-2)/6). Suppose -3*c = -106 + l. What is the remainder when 44 is divided by c?
21
Calculate the remainder when 123 is divided by (-121)/22*(-7 - (-2)/(-2)).
35
Let l = 186 + -130. Calculate the remainder when l is divided by 17.
5
Suppose -v = -2, -4*c + 5*v = 44 - 18. Let p(r) = -r**2 - 6*r + 12. What is the remainder when 96 is divided by p(c)?
16
Suppose 0 = 54*w - 291 - 519. Calculate the remainder when 401 is divided by w.
11
Let b(q) = q**2 + 4*q + 4. Suppose 0 = o - 3*d - 28, -7*o - d = -218. Calculate the remainder when o is divided by b(-5).
4
Let k(r) = 31*r - 21. Let t be k(-3). Calculate the remainder when 77 is divided by (-42)/28 - t/4.
23
What is the remainder when (22/(-3) - -7)*-999 is divided by 34?
27
Suppose -2*l + 0*l - 8 = 0. Let z(d) = -4*d**2 - 2*d + 3*d**2 + 3*d**2 + 6*d - 3. What is the remainder when 25 is divided by z(l)?
12
Let v = 353 - 335. Let n = 282 - 87. Calculate the remainder when n is divided by v.
15
Let t = -5 + 3. Suppose 0*j - 50 = -4*j + 2*n, 48 = 4*j - 4*n. Calculate the remainder when ((-49)/t)/(1/2) is divided by j.
10
Suppose 0*j + 5*j = -u + 42, -4*j + 45 = -3*u. Let a(m) = m**2 + 5*m + 6. Calculate the remainder when j is divided by a(-5).
3
Let q = -8 + 31. Suppose -q + 118 = 5*s. What is the remainder when s is divided by 10 + 0 + 9 + -9?
9
Let r(w) = w**3 - 18*w**2 - 17*w. Calculate the remainder when r(19) is divided by 20.
18
Suppose 4*n = q - 61, 2*q + 19 = n + 162. Calculate the remainder when 947 is divided by q.
71
Suppose 28*z = -17*z + 2025. What is the remainder when 762 is divided by z?
42
Suppose -k - 5*z = -7, 4*k - 2*z = -7*z + 88. Suppose 3*s - 8*s + 25 = 2*p, 3*s = -2*p + 15. Calculate the remainder when k is divided by 14/2 - (p + 0).
6
Let g be 14/2 - (-1 - -3). Suppose -g*x + 27 = -2*x. What is the remainder when -1*(-2)/(-2) + -1 + 28 is divided by x?
8
Suppose -4*r + 140 = -2*c - 4, 3*r - 108 = 5*c. Calculate the remainder when 110 - -1*16/(-4) is divided by r.
34
Let b = 92 - 65. Suppose 2*p - b = -5. Let t = p - -19. What is the remainder when t is divided by 11?
8
Let b = -7 + 7. Suppose b = 2*q - 4 - 4. Suppose a - 2*a = -q*j + 48, -3 = -j - 2*a. What is the remainder when 32 is divided by j?
10
Let h = 42 + -169. Let w = h + 148. What is the remainder when 58 is divided by w?
16
Suppose -s + 14 = -4*l, -3*l - 3 = -4*s + 1. Calculate the remainder when (-7)/14 - 35/s is divided by 5.
2
Let b(a) = -56*a**3 - 10 - 10 + 3*a + 57*a**3 + 5 - 10*a**2. Let j be b(10). Let g = j + -9. What is the remainder when 11 is divided by g?
5
Suppose -q = -14 - 29. Let x(h) = h**3 + h**2 - h + 15. Calculate the remainder when q is divided by x(0).
13
Let x(f) = f**2 + 23*f + 20. Let a be x(-22). Let r(o) = o**3 + 2*o**2 - 2*o - 1. Calculate the remainder when 8 is divided by r(a).
2
Let f(h) = h**3 + h**2 + 25. Suppose -18 = 3*q - 5*x, -2*x + 7*x = -3*q + 12. Let s be (-1)/q - (-1 - -2). What is the remainder when f(s) is divided by 7?
4
Let k = 982 + -864. What is the remainder when 351 is divided by k?
115
Let q(r) = r + 15. Let k be q(-3). Let i(t) = 8*t + 5*t - 3*t**2 + 2 + 2*t**2. What is the remainder when 37 is divided by i(k)?
9
Suppose -150 = -26*p + 266. What is the remainder when 91 is divided by p?
11
Suppose 0 = -2*b - 3*b + 3*s + 40, -4*b = 4*s. Let u(o) = -o**2 + 2*o + 11. Let t be u(b). What is the remainder when 29 is divided by t/(15/(-12) - -1)?
13
Let m(l) = -l**2 - 8*l - 9. Calculate the remainder when ((-16)/7)/(41/(-287)) is divided by m(-6).
1
Let t = 13 - -149. Let c = -121 + t. Calculate the remainder when c is divided by 23.
18
Let r = 141 + -136. What is the remainder when 106 is divided by r?
1
Let q = -163 + 84. Calculate the remainder when (q/3)/((-7)/21) is divided by 14.
9
Let p(y) be the first derivative of -y**4/4 - y**3 + y**2 - 5*y + 8. What is the remainder when 7 is divided by p(-4)?
1
Let h = 309 + -295. What is the remainder when 51 is divided by h?
9
Let n(r) = 2*r**2 + 14*r - 7. Let t be n(-12). Suppose -581 = -4*f - t. What is the remainder when f is divided by 30?
27
Let p(l) = -2 - 3*l + l - 3 + 7*l**2 + 5*l**2 + l**3. Let n = 11 - -43. Calculate the remainder when n is divided by p(-12).
16
Suppose 5*u = -3 + 43. What is the remainder when 71 is divided by u?
7
Let n(q) = q - 8. Let y be n(13). Suppose -y*a = -o + 139, 0 = 2*a + 5*o - o + 38. Let s = 32 + a. Calculate the remainder when 9 is divided by s.
4
Let s = -65 + 182. What is the remainder when s is divided by 10?
7
Let p(v) = v**3 - v**2 + 147. Let w be p(0). Suppose -3*i + w = -318. Suppose 0*c + i = 5*c. Calculate the remainder when c is divided by 11.
9
Let r(t) = -10*t**3 + 90*t**2 + 3*t + 1. What is the remainder when 50 is divided by r(9)?
22
Let c = -196 + 281. Suppose f = 6*f - c. Let o = 30 + -20. What is the remainder when f is divided by o?
7
Let j(x) = 245*x - 976. Calculate the remainder when j(5) is divided by 29.
17
Let z = 21 + 27. Suppose 0*c = -3*c + z. Calculate the remainder when c is divided by 10.
6
Let o(a) = 3*a**2 + 2*a - 85. What is the remainder when o(-9) is divided by 24?
20
Let m(a) = -13 + 3*a**3 + 3*a**3 - 4*a**3 + 12*a + 9*a**2 - 3*a**3. Let p be m(10). Let v = 20 - p. What is the remainder when v is divided by 5?
3
What is the remainder when 70 is divided by (-806)/(-30) - 12/(-90)?
16
What is the remainder when 133 is divided by (-45)/(-3)*(-4 + 87/15)?
25
Let y(v) = -15*v - 10. Let q be y(-3). Suppose -2 - 31 = -3*c. Calculate the remainder when c is divided by (-1)/((-5)/(-4)*(-7)/q).
3
Let i = -86 + 89. Suppose -12*n - 25 = -2*z - 11*n, i*n - 29 = -2*z. What is the remainder when 62 is divided by z?
10
Suppose -196 = 54*n - 68*n. Calculate the remainder when 31 is divided by n.
3
Let w be (-2 - -1*68) + 0/16. Suppose -17*q + w = -14*q. What is the remainder when q is divided by 10?
2
Suppose 32*a + 648 = 68*a. What is the remainder when 898 is divided by a?
16
Let m = 0 - 1. Let j be 1/(-1*m/17). Suppose 0 = -3*t + j + 19. Calculate the remainder when 34 is divided by t.
10
Let a(x) = 2*x**2 + 9*x - 1. Let t = -12 - -8. Let m be t*(-3)/(-6) - 3. What is the remainder when 14 is divided by a(m)?
2
Calculate the remainder when 218 is divided by (110 + 6)/4 + -7.
20
Let j(d) = d - 2. Let n be j(-2). What is the remainder when 94 is divided by ((-2)/(-6))/((6 + n)/198)?
28
Let j(g) = 6*g - 1. Let i = 12 + -7. Calculate the remainder when (-11)/(11 - 12) - -102 is divided by j(i).
26
What is the remainder when 33 is divided by (15/10)/(((-28)/40)/(-7))?
3
Calculate the remainder when 174 is divided by 9/(-6)*-2 - -32.
34
Let f = 4668 - 4654. Calculate the remainder when (32/(-3))/((-4)/18) is divided by f.
6
Let h(q) = q**2 - 3*q - 1. Let c be (-8)/4 - -3 - 3. What is the remainder when 43 is divided by h(c)?
7
What is the remainder when 4 - (-72 + 3*10/6) is divided by 20?
11
Let o = -14 - 46. Suppose -5*b + 50 + 40 = 0. Calculate the remainder when b is divided by o/(-16)*40/15.
8
Suppose 38*w = 29822 + 26722. What is the remainder when w is divided by 166?
160
Let u = 231 + -216. What is the remainder when 40 is divided by u?
10
Let o(t) = 3*t**3 - 5*t**2 - 4*t + 1. Suppose 4*w = -8 + 24. Let f(y) = 4*y + 33. What is the remainder when o(w) is divided by f(0)?
31
Suppose -17 - 3 = 4*g. Let z(h) be the second derivative of h**5/20 + h**4/2 - h**3/3 - 5*h**2/2 + 3*h. Calculate the remainder when z(g) is divided by 8.
6
Let w = -1447 + 1457. Suppose v - d = 3 - 1, v = -3*d + 6. What is the remainder when w is divided by v?
1
What is the remainder when 432 is divided by (4 - -67) + -4 - 15/3?
60
Suppose -5*c - 40 = i, 5*c + 40 = -i + 5*i. Suppose 208 = -3*q + 199. Calculate the remainder when 47 is divided by (-64)/(-20)*(q - c).
15
What is the remainder when (-9)/((-27)/18