late the remainder when 11483 is divided by c.
43
Let n = 118 + -266. Let l = -84 - n. What is the remainder when l is divided by 22?
20
Suppose -168*k + 192 = -162*k. Suppose k*x = 20*x + 576. Calculate the remainder when 56 is divided by x.
8
Suppose 0 = 4*z + 42 - 186. Suppose 3*p - 3 = -4*w, -69 + 87 = -3*w. What is the remainder when z is divided by p?
0
Let b = 260 - 385. Let l = 152 + b. What is the remainder when l is divided by 7?
6
Suppose -2641 = -103*b + 2612. Calculate the remainder when 454 is divided by b.
46
Suppose 5*d = -4*a + 236, 5*d - 96 = -2*a + 32. What is the remainder when a is divided by (6/3)/(6/5) + 704/33?
8
Let v(t) = -t**2 - 15*t + 9. Suppose -66 = 6*z - 6. Calculate the remainder when v(z) is divided by 13.
7
Let s = -3999 - -4099. Calculate the remainder when 5397 is divided by s.
97
Suppose -o = 3*b, 9*b + 2*o = 7*b. Suppose -135*l + 130*l + 2690 = b. What is the remainder when l is divided by 27?
25
Let q(x) = 4*x**2 + 18*x + 2. Suppose 21 - 29 = w. Let t be q(w). Suppose -649 + t = -5*d. What is the remainder when d is divided by 36?
35
Calculate the remainder when (-60)/(-6) + -2 + -16 + 1017 is divided by 10.
9
Suppose b - 6 + 1 = 0. Suppose 5*y = -b*c - 0*y - 50, -3*c + 4*y = 2. Calculate the remainder when 69 is divided by (-87)/c + (-4)/8.
13
Suppose 4*k - 56 = -10*k. Suppose 0 = 3*u - 3*z - 984, 10*u + k*z - 949 = 7*u. Calculate the remainder when u is divided by 65.
63
Suppose 4*v - 1465 = -o + 30, 1477 = 4*v - 5*o. What is the remainder when v is divided by 116?
25
Suppose -1572 = 3563*a - 3956*a. Let g = 11 + -7. Calculate the remainder when a is divided by g.
0
Suppose 36*h - 18*h = 432. What is the remainder when 69 is divided by h/54 - (-624)/54?
9
Let a be (-6 - 978/(-12))*-8. Calculate the remainder when 7 - (-5)/((-20)/a) is divided by 20.
18
Suppose 2*f + 1072 = 2*o, -423*f = -422*f - 4. Calculate the remainder when o is divided by 109.
104
Let m(t) = -t**3 + 7*t**2 - 3*t - 9. Suppose -4*k = -3*l - 21, 2*k - k + 3*l = -6. What is the remainder when m(5) is divided by k?
2
Suppose 3*m - 230 = -5*f, 7*f = 12*f - 20. Let l = m + -56. Let t = -62 + 71. What is the remainder when l is divided by t?
5
Let y(p) = 17*p**2 - 166*p + 3. What is the remainder when y(12) is divided by 113?
7
Let n(i) be the first derivative of i**2 + 19/3*i**3 - 1/4*i**4 - 12 + 9*i. Calculate the remainder when n(19) is divided by 16.
15
Suppose 3321 = -81*j + 12636. What is the remainder when 224 is divided by j?
109
Suppose 2*t = 5*c + 53 + 17, 4*t = -3*c + 192. What is the remainder when 85 is divided by t?
40
Let m(d) = d**3 - 26*d**2 + 55*d - 130. What is the remainder when 135 is divided by m(24)?
21
Suppose 0 = 5*c + 3*a - 1, -3 = 3*a - 2*a. Suppose c*m + 3*g - 86 = 0, m - 4*m + 4*g + 163 = 0. What is the remainder when m is divided by 26 + 0 - 0*5/25?
23
Let t(o) = -3*o + 9. Let d be t(2). Let y be -83 - (2 - 0/(-4)) - d. Calculate the remainder when (-27)/33 - -1 - 16176/y is divided by 31.
29
Suppose 4*v + 320 = -4*h, -v + 11*h - 8*h - 64 = 0. Let x = v + 93. What is the remainder when x is divided by 8?
1
Suppose -5*v - 9 = -2*v, 5*v + 897 = 3*o. Calculate the remainder when o is divided by 95.
9
Suppose 0 = 43*i - 871 - 1451. Suppose -3*t = 2*f + 3*f - 1598, -624 = -2*f - 5*t. Calculate the remainder when f is divided by i.
52
Let o(k) = -3*k - 14. Let q be ((756/16)/(-9))/(9/24). Calculate the remainder when 74 is divided by o(q).
18
Let z be ((-346)/5)/(11/(-55)). Let a = -172 + z. What is the remainder when a is divided by 4?
2
Suppose 15 = 20*q - 17*q. Suppose -5*i = -2*f - 45, -q*i + 36 = -i + 3*f. Calculate the remainder when 5652/54 + (-4)/(-3) is divided by i.
7
Let l be (-12)/(-8) + 23/(-2). Suppose -8*q = -12*q + 420. Calculate the remainder when q is divided by (l/(-40) + 107/4)/1.
24
Suppose -7*a + 32 = -5*a. Suppose 2*k = -t + a, 3*t + 2*k + 2*k = 48. Suppose t*h - 16 = 12*h. What is the remainder when 12 is divided by h?
0
Suppose o - 3 - 13 = -3*a, 0 = 2*a + o - 12. Suppose 2*c = 4*t + 254, a*t + 86 + 35 = c. What is the remainder when c is divided by (-1 + 3)*(-9)/(-2)?
7
Suppose -5*b + y - 333 = 0, 5*y + 144 = -b - b. Let g = b - -61. What is the remainder when 25 is divided by (0 - g/8)/(2/24)?
7
Let v(b) = -2 + 30*b**2 - 18*b**2 - 15*b**2 - 40*b + 11. What is the remainder when 339 is divided by v(-12)?
54
Let y(o) = 753*o - 1001. What is the remainder when y(13) is divided by 10?
8
Let x = 7788 - 7431. What is the remainder when x is divided by 169?
19
Let q(d) = -3*d**2 + 33*d - 13. Let h be (-82)/(-10) + 36/45. Calculate the remainder when q(h) is divided by 12.
5
Suppose 3*r = -4*q - 629, -12 = 3*q + 5*r + 446. Let w = q + 323. Suppose 4*a = 2*k + 186, 3*a - 56 = -5*k + 12. What is the remainder when w is divided by a?
39
Suppose 570074*h - 6108 = 570062*h. What is the remainder when h is divided by 93?
44
Let i = -1020 - -565. What is the remainder when 126 is divided by ((-1170)/i)/((-1)/(-14))?
18
Let m(t) = -18*t - 134. Let u be m(-12). Suppose 140 = -77*i + u*i. Calculate the remainder when i is divided by 19.
9
Let m(o) = -777*o + 51. Let z(y) = 194*y - 13. Let b(f) = -2*m(f) - 9*z(f). What is the remainder when b(-1) is divided by 35?
32
Let b(y) = 22*y + 138. Let p = 241 - 229. Calculate the remainder when b(p) is divided by 45.
42
Let d(o) be the third derivative of -o**4/6 - 11*o**3/2 - 40*o**2. Suppose 0 = -4*q - 0*q - 40. What is the remainder when 7 is divided by d(q)?
0
Let q(c) = -c**3 + 14*c**2 + 3*c - 1. Let l = 26 - 12. Let f(p) = -2*p**3 - p**2 + 81. What is the remainder when f(0) is divided by q(l)?
40
Suppose 0 = h + 5*c - 1, -h - 3*c = 4*h - 5. Suppose 0 = -t - 6*t - 42. Let s(f) = -10*f - 59. Calculate the remainder when h is divided by s(t).
0
Suppose 2*c + 15 = 35. Let k(r) = 2*r**2 + 3*r**2 - 5*r**2 + r**2 - 10 + 13*r. Calculate the remainder when k(c) is divided by 37.
35
Suppose -2*n = 2*y - 3446, 9*n - 47*y = -51*y + 15492. What is the remainder when n is divided by 82?
80
Let z = 104 - 63. Let d(a) = -a**3 + 13*a**2 - 369*a + 2366. What is the remainder when d(7) is divided by z?
36
What is the remainder when (156/(-9))/((-16)/(-108)*-3)*27 is divided by 88?
85
Let n = 303 - 309. Calculate the remainder when 1101/4 - (n + 126/24) is divided by 31.
28
Suppose 11*x = -p + 12*x + 278, -5*p - 4*x + 1390 = 0. Suppose 7*l - 212 - p = 0. What is the remainder when 137 is divided by l?
67
Let f(h) = -h**3 - h**2 + 118. Suppose 8*o - 3*o - 20 = 0. Suppose 2*m + 2 = 0, -2*p = -o*p - 3*m + 27. Calculate the remainder when f(0) is divided by p.
13
Let v(u) = -70*u - 999. Calculate the remainder when 169 is divided by v(-15).
16
Let l = -155 - -89. Let g = -455 - -522. Let q = g + l. Calculate the remainder when 3 is divided by q.
0
Suppose -5*j = 0, 5*n + 3*j = -3 + 13. Suppose 2 - 10 = -n*g. Suppose -z + g*t + 15 = 0, -z - 4*t + 1 = 2. Calculate the remainder when z is divided by 4.
3
Suppose 24*q - 69 = 75. Let y = -64 - -94. Calculate the remainder when y is divided by q.
0
Suppose 0 = -259*k + 261*k + 10. Let o(x) = x**2 - 20*x - 55. Calculate the remainder when 205 is divided by o(k).
65
Let b(m) = -5*m + 31. Let z = 20 + -18. What is the remainder when 23 - (0/z + 2) is divided by b(4)?
10
Calculate the remainder when 68 is divided by (26 - 29)*(1 - (21 - -1)).
5
Let z be 6/(-9)*(-629 + -4). Let f = 652 - z. Calculate the remainder when f is divided by 18.
14
Suppose 4*y + 1336 = 4*j - 620, 5*j - 3*y = 2455. Suppose 12*l + j = 1670. Calculate the remainder when l is divided by 17.
13
Let o = -5462 - -5957. What is the remainder when o is divided by 123?
3
Let b(w) be the first derivative of 30*w**2 - 9*w - 45. What is the remainder when b(1) is divided by 13?
12
Suppose 0 = 258*d - 291*d + 6336. Calculate the remainder when d is divided by 94.
4
What is the remainder when 1632 is divided by 272 - 0/(-8 + 22)?
0
Calculate the remainder when ((-7)/(-5))/(22/2530) is divided by 148.
13
Let w(j) = -39*j**2 + j. Let b be w(1). Suppose 15*v - 2*v + 247 = 0. What is the remainder when (-3)/(-1) + (v - b) is divided by 12?
10
Let o(y) = -74*y - 3154. Calculate the remainder when 1427 is divided by o(-43).
27
Calculate the remainder when (-27)/18 - 2156/(-8) is divi