n 2 + 1 + 317 + 12 is divided by 7?
3
Suppose -900 + 3700 = 112*u. What is the remainder when 586 is divided by u?
11
Suppose -3*w = -4*n + 177, 98*n = 97*n - 4*w + 49. What is the remainder when 283 is divided by n?
13
Let r(d) = -31*d**3 - 396*d**2 + 5*d - 48. Calculate the remainder when r(-15) is divided by 195.
192
Let t(a) = a**3 + 9*a**2 - 126*a - 146. Calculate the remainder when 2553 is divided by t(-14).
1
Suppose 788 = 2*i + 5*n, -5*n + 19 + 1173 = 3*i. Calculate the remainder when i is divided by 108.
80
Let r(i) = -69*i - 1872. Calculate the remainder when r(-28) is divided by 37.
23
Suppose 1321 = 13*f + 1503. Let q(h) be the third derivative of -h**4/24 + 37*h**3/6 + 2*h**2. Calculate the remainder when q(f) is divided by 13.
12
Let v(c) be the first derivative of c**4/4 + 14*c**3 + 115*c**2/2 - 41*c + 45. Calculate the remainder when 101 is divided by v(-39).
27
Let x = -122 + 122. Suppose x = -g + 4*g - 294. Let d = g + -4. What is the remainder when d is divided by 19?
18
Let s(a) = 5*a**2 - 34*a - 18. Let c be s(11). Suppose 3*m - 3*y = c, 5*m - 57 = y + 294. What is the remainder when m is divided by 6?
4
Let a = 753 - 525. Let y = -110 + 169. What is the remainder when a is divided by y?
51
Suppose -89 = -5*c + 2*y + 43, 0 = 2*c - 2*y - 54. Suppose -155 = 34*w - 35*w. What is the remainder when w is divided by c?
25
Let d = 33 + -30. Let v be 3/2 + 294/36*d. Suppose 0 = -z + 2*l + 20, -z + 5*l + v = -0*z. Calculate the remainder when 46 is divided by z.
14
Suppose 12 - 33 = -z. Let t = -165 - -49. Calculate the remainder when (3 - -1)*t/(-8) is divided by z.
16
Let c = -20 - -14. What is the remainder when c/(-3)*4*5 is divided by (-1 + 46/18)/((-5)/(3 + -48))?
12
Let b(w) = 24*w**2 - w - 7. Let f be b(-3). Let p be (-1 - 1)*f/(-8). Suppose -k - p = -5*x, x + k = 17 - 4. Calculate the remainder when 20 is divided by x.
9
Calculate the remainder when 3/1*(-82115)/(-165) is divided by 60.
53
Let r(i) = i**2 + 3*i - 47. Suppose 0 = -o + 34*j - 29*j + 37, -o = 4*j - 73. What is the remainder when o is divided by r(-9)?
1
Let h be ((-5)/2*2 - -91) + 2. Suppose 3*l + h - 880 = 0. What is the remainder when l is divided by 19?
17
Suppose -4*d = 5*t + 13 - 43, 3*d - 40 = 5*t. Suppose -4*z = 2*g - 10 - d, -g = 3*z - 9. Let u = g + 5. Calculate the remainder when 49 is divided by u.
15
Let o = 5739 + -5600. Let r = 22 + 13. Calculate the remainder when o is divided by r.
34
Let y(f) = f**3 - 3*f**2 - 3*f + 7. Let l be y(4). Suppose -l*g = g - 192. What is the remainder when 511 is divided by g?
15
Let u be 1/4 + 4/(-16). Suppose 4*k - 6*k + 162 = u. Calculate the remainder when k is divided by 43.
38
Let k = 89 + -85. Suppose 40 = g + 5*x, -k*g + 5*x + 17 = -43. Suppose -3*r - 2*r - 25 = -2*w, 0 = -4*r + g. Calculate the remainder when 74 is divided by w.
24
Let o = -73 + 78. Suppose o*v = k - 7 + 97, 5*v - 65 = -4*k. Suppose 0 = -w - 7 + v. Calculate the remainder when 57 is divided by w.
7
Suppose 2870*d + 17154 = 2965*d - 24456. What is the remainder when 2637 is divided by d?
9
Let f(n) = -n**3 + n**2 + 4*n - 1. Let l(i) = -2*i - 14. Let r be l(-16). Let d(k) = -k**2 + 22*k - 56. Calculate the remainder when f(-4) is divided by d(r).
15
Suppose -2*t = -2*o - 28, t + 3*o = -2*t + 54. Let p = 19 - t. Let v(x) = -2*x**3 + 7*x**2 - 3*x + 2. What is the remainder when 7 is divided by v(p)?
1
Suppose 742*f - 821*f = -5767. Calculate the remainder when 323 is divided by f.
31
Let k(r) be the third derivative of r**5/60 - 5*r**3/2 - 5*r**2 + 4*r. What is the remainder when 68 is divided by k(5)?
8
Suppose n + 3*i = 1513, 3*n - 1339 = 4*i + 3135. What is the remainder when n is divided by 165?
13
Let p(o) = o - 8. Let g be p(14). Calculate the remainder when 34/51 - (-404)/g is divided by 19.
11
Let k = 344 + -346. Calculate the remainder when 84 is divided by ((-4)/12)/(0 + k/132).
18
Let r(p) = p**2 - 4*p - 74. Let v be r(18). Suppose 2*z = 4*b - 146, 5*b + 7*z - 5*z = v. What is the remainder when 66 is divided by b?
30
Let z = 18685 + -18681. Let h be (1 - 7)/((-6)/33). Let x = h - 20. What is the remainder when x is divided by z?
1
Let z = 7666 - 7545. Calculate the remainder when 1447 is divided by z.
116
Suppose 0 = -2*v + 3*r - 7*r + 16, 2*r = -4. Suppose v*h - 7*h - 2065 = 0. What is the remainder when h is divided by 23?
22
Let k = 1 + -42. Let s = 59 + k. What is the remainder when 141 is divided by s?
15
Let i = 23 - 14. Let u(m) = m**3 - 7*m**2 - 10*m + 5. Let v = 1037 + -1017. What is the remainder when u(i) is divided by v?
17
Let i = 2 - 2. Suppose 0 = -2*n - 3*w + 70, 4*n - 201 = 3*w - 25. Let b = i + n. What is the remainder when b is divided by 9?
5
Let z be (28/(-8) + 2)*-26. Suppose 81 + z = 4*o. Let f(h) = h**3 + 5*h**2 - 4*h - 12. What is the remainder when o is divided by f(-5)?
6
Suppose -77*y + 72*y - 190 = 0. Suppose 3*k - 3 = -228. Let a = y - k. What is the remainder when 146 is divided by a?
35
Let b(n) = -37*n**3 - 2*n - 2. Calculate the remainder when 153/(-5)*(-10)/6 is divided by b(-1).
14
Let z(q) = 3*q**3 - 4*q**2 - 2. Let n(b) = 7*b + 50. Let g be n(-15). Let f = 87 + g. Calculate the remainder when z(4) is divided by f.
30
Suppose 92*n = 350*n + 200*n - 108546. Calculate the remainder when 1203 is divided by n.
18
What is the remainder when -6*132/(-252)*35 is divided by (145 - -3)*(10/8 - 1)?
36
Let s(v) = v**3 - 57*v**2 - 233*v + 265. What is the remainder when s(61) is divided by 28?
12
Suppose j = 4*j - 12. Suppose -3*q + 8*q + j*m = 796, q - 2*m = 162. Calculate the remainder when q is divided by 9.
7
Suppose 308 + 232 = 54*b. Calculate the remainder when 109 is divided by b.
9
Suppose 1535 = 4*t - 17. Let p = -262 + t. What is the remainder when p is divided by 30?
6
Let m(z) = -11 - 8 - 14 + 3*z. Suppose -5*u - 56 = -4*l - u, -20 = -l - 2*u. What is the remainder when 28 is divided by m(l)?
13
Calculate the remainder when (-1278)/(-1704) - (-9373)/4 is divided by 35.
34
Let a(d) = -2*d**3 + 2*d**2 - 2*d - 3. Let u be a(4). Let t = u - -260. Suppose 50 = 7*y - t. What is the remainder when y is divided by 17?
12
Suppose -27*c + 74306 = 8*c + 18*c. What is the remainder when c is divided by 117?
115
Suppose 77*n + 2836 + 3576 = 91*n. What is the remainder when n is divided by 39?
29
Suppose 99*p + 14222 = 66989. Calculate the remainder when p is divided by 93.
68
Let z(p) = 2*p**2 - 55*p - 40. Let y be z(32). Let c = -218 + y. What is the remainder when 207 is divided by c?
27
Suppose u - 84 = -2*u. Suppose -3*m + 39*l = -243, -200 + 242 = 2*m - 2*l. Calculate the remainder when u is divided by m.
12
Let q(r) = -2*r - 40. Let c be q(-22). Suppose 7*w - c*w = 0. Calculate the remainder when -1*((1 - w) + -5) is divided by 2.
0
Let v(k) be the third derivative of k**5/60 + 2*k**4 + 115*k**3/6 - 253*k**2. Calculate the remainder when v(-48) is divided by 46.
23
Calculate the remainder when 246 is divided by -1218*(-4)/30 - (65/(-25) - -2).
83
What is the remainder when 9787 is divided by -8 - ((-3)/((-24)/(-469)) + (-249)/664)?
46
Let o = -109 - -204. Suppose 10*j = 18 + 2. Suppose 18 = j*a - 6. What is the remainder when o is divided by a?
11
Let z(v) = 90*v - 1740. Suppose -3*k + 21 = -36. Calculate the remainder when z(21) is divided by k.
17
Let x = -62 + 167. Suppose -5*b + 8*b - x = 0. Let m = -52 + 190. Calculate the remainder when m is divided by b.
33
Let a(d) = 3*d**2 + 17*d + 142. Calculate the remainder when a(-10) is divided by 130.
12
Let c = 21 - 19. Suppose 2*i + 5*d = 166, -c*i + 166 = -6*d + 2*d. Suppose -2*s + i = 27. Calculate the remainder when s is divided by 16.
12
Suppose -3 = -3*q - 2*w, 4*q + 3*w - 2 = 1. Suppose 3*h + 1132 = 3*n + h, -4*n + q*h = -1510. What is the remainder when n is divided by 54?
52
Let l be 6/(-15)*40/(1 - 3). Suppose 5*m - 220 = 5*i, -m - 4*i + l*i + 38 = 0. What is the remainder when m is divided by 14?
4
Suppose n - 3*n + 28 = 0. Let g(m) = -m**3 + 9*m**2 + 10*m + 3. Let y be g(10). Suppose 2*i = i + y. Calculate the remainder when n is divided by i.
2
Let d(r) = -r**3 - 24*r**2 - 21*r + 10. Let y be d(-21). Let j = 362 + y. Calculate the remainder when 120 is divided by 2 - (j/18 + (-4)/6).
27
Suppose 37*b + 4*b - 15979 = 12*b. Calculate the 