vided by i.
8
Suppose -112 = -24*h + 17*h. Suppose -p - 222 = 2*c - h, -198 = 2*c - p. Let m = c + 123. What is the remainder when 56 is divided by m?
12
Let j(p) = 177*p**3 - 11*p**2 + 4*p - 1. Calculate the remainder when 1002 is divided by j(1).
157
Suppose -6*d + 823 = -1163. Suppose 12 = 3*i, -209 = -4*n + 3*i + d. What is the remainder when n is divided by 72?
66
Let f(c) = 28*c - 1197. What is the remainder when 1577 is divided by f(43)?
2
Suppose 2 = -6*t + 98. What is the remainder when 391 is divided by (-56)/(-18)*(312/t - 15)?
13
Let w = 17 - 12. Suppose 0 = m + j - 44, 2*m - w*j + 51 - 160 = 0. What is the remainder when 53 is divided by m?
6
Let k(p) = -17*p + 185. Let h(x) = 15*x - 186. Let q(u) = -2*h(u) - 3*k(u). What is the remainder when 47 is divided by q(10)?
20
Let k = 16 - 34. Let y be (30824/k)/(-2) - 12/54. Calculate the remainder when (-136)/(-22) + -6 - y/(-11) is divided by 20.
18
Let b = -51 + 94. Let o be 12/30 + (-13)/(-5). Suppose j + 4*z - 15 = 0, -2*j + o*j = -2*z + 13. What is the remainder when b is divided by j?
10
Let k(y) = -10*y**2 - 134*y - 14. Calculate the remainder when 355 is divided by k(-13).
13
Let q(x) = -x**3 + 5*x**2 - 3*x + 6. Let b be q(5). Let f = b - -14. Let k(j) = 9*j**3 - 2*j + 2. Calculate the remainder when k(1) is divided by f.
4
Suppose -2*n = -0*n - 20. What is the remainder when ((-480)/64 + -12)*-12 is divided by n?
4
Let b = -12822 + 12974. What is the remainder when 3646 is divided by b?
150
Suppose 0 = 172*d - 12*d - 12295 - 8825. Calculate the remainder when 3955 is divided by d.
127
Let d(t) = -t**3 + 3*t**2 + 68*t - 112. Calculate the remainder when 1455 is divided by d(8).
111
Let j = -4078 - -4106. What is the remainder when 1845 is divided by j?
25
Let i = -10589 + 25374. Calculate the remainder when i is divided by 93.
91
Let d = -114 - -116. Suppose 4*a - 132 = -d*j, 2*j - 9*a + 7*a = 156. Suppose -9*v = -j - 376. What is the remainder when v is divided by 19?
12
Suppose -2*w - 16 + 70 = 0. Let o = -87941 + 88003. What is the remainder when o is divided by w?
8
Suppose -6*h = -32*h + 104. Suppose -3*s = -15, -h*d - 4*s + 0*s = -320. What is the remainder when 299 is divided by d?
74
Suppose 5*u = -1358*z + 1356*z + 28, 29 = z - 5*u. What is the remainder when 926 is divided by z?
14
Suppose 785*c + 28337 - 84857 = 0. Suppose 5*z + w + 3*w = 79, 5*z = -3*w + 78. What is the remainder when c is divided by z?
12
Calculate the remainder when 3/16 - 225624/(-896) is divided by 15.
12
Suppose -a - 14 = -3*q, 3*a = -5*q + 7*a + 21. Calculate the remainder when 20/q + 3 + 114 is divided by 21.
16
Suppose 2*c = -o + 97, -3*o - 69 = -3*c - 315. Let n be (4*2)/((-2)/12). Let h = n + o. Calculate the remainder when 194 is divided by h.
38
Suppose v = 4*g - 18, g - 4*v = 3*g. Suppose -7*w - 8 = 2*p - g*w, 4*p + w - 4 = 0. Suppose -9*d = p*d - 341. What is the remainder when 57 is divided by d?
26
Let p(i) = 8*i**3 - i**2 + 5*i + 2. What is the remainder when 12/(-8)*(-8132)/57 is divided by p(2)?
70
Suppose 6*u + 5*u + 17*u - 3248 = 0. Calculate the remainder when u is divided by 42.
32
Let i = -1101 - -1159. Let r(h) = -h**2 + 15*h - 11. Let n be r(10). Suppose 99 = 5*w + n. What is the remainder when i is divided by w?
10
Suppose -3 = -3*y - 3*z, 11*y - 4*z - 14 = 6*y. Suppose -6*t + 20 = -y*t. Let d = -553 + 556. Calculate the remainder when t is divided by d.
2
Let s = -135 + 149. Let w(c) = -c**2 + 11*c + 80. What is the remainder when w(s) is divided by 28?
10
Let v be ((-98)/(-21))/(-14) - (-34)/(-6). What is the remainder when 51 is divided by -4 - -19 - (-4 - v)?
12
What is the remainder when 311 is divided by ((-68)/(-16))/(-6*(-7)/168)?
5
Let h = -26 + 9. Let i = h - -19. Suppose 153 = 5*l + 2*j, -3*l + 97 = i*j + 6. What is the remainder when 123 is divided by l?
30
What is the remainder when 62 is divided by ((15 - 6) + -8)*(17 + 24)?
21
Suppose -4*x + 51015 = -9*i + 8*i, 12735 = x - 4*i. Suppose -44*f + x - 1799 = 0. What is the remainder when f is divided by 85?
79
Suppose -2*i = -3*m - 3 + 118, 5*i = -2*m + 83. Let a be (170/(-40))/((-1)/(-4)). Let l = 172 + a. Calculate the remainder when l is divided by m.
38
Calculate the remainder when 2/((1/29)/(2 - -7)) is divided by 350.
172
Let m(z) be the first derivative of -9*z**2 + 20*z + 28. Calculate the remainder when m(-3) is divided by 11.
8
Suppose 4*j - 6 = 2*j. Suppose 20*d - 6*d - 258 + 202 = 0. Suppose -64 = -b - 5*c, -d*c - 89 + 303 = j*b. Calculate the remainder when b is divided by 13.
9
Suppose -6 = 2*r - 32. Suppose -16 = -c - 1. Let s(n) = -n**2 + 16*n - 7. Calculate the remainder when r is divided by s(c).
5
Let x be 84/(-105)*5/(-2). Suppose -a - c + x = a, -4*a - 5*c = -10. Suppose 90 + a = 9*g. What is the remainder when g is divided by 7?
3
Suppose 5*g - 4*a + 41 = 121, 0 = a - 5. What is the remainder when (1393 + (5 - 1))*(11 - 3)/8 is divided by g?
17
Let p = -44 + 84. Suppose -20*g - 62 = -25*g + 4*b, 0 = -g + 3*b + 8. What is the remainder when p is divided by g?
12
Suppose -k + 2*u = 3 - 0, 0 = -4*k - 2*u + 18. Let v be k + (-1 - -29) - -2. Let h = -21 + v. Calculate the remainder when 59 is divided by h.
11
Let c be (-3 - -1) + 64 + 6. Let j = c + -34. Calculate the remainder when 329/5 - 4/(-20) is divided by j.
32
Suppose 0 = i + 2*j - 1271, i = 8*j - 7*j + 1274. Calculate the remainder when i is divided by 41.
2
Let p be (-1)/((91/14)/(-13)). Suppose -28 = -p*t - 5*x, -4*t + 8*t - 46 = -5*x. Calculate the remainder when 143 is divided by t.
8
Let k(r) = -2*r**2 - 11*r - 11. Let s be k(-5). Calculate the remainder when 144 is divided by (-580)/(-30)*s/(-4).
28
Let r = 3847 - 3830. What is the remainder when 1932 is divided by r?
11
Let l(j) = -1. Let g(s) = -s. Let v(d) = 2*g(d) - l(d). Suppose -87*a = -2*q - 83*a - 38, -1359 = 3*q - 68*a. What is the remainder when q is divided by v(-4)?
5
Suppose f - 5418 = -2*h, 10033 = 5*h - 2*f - 3530. What is the remainder when h is divided by 23?
20
Suppose -2*m = 0, 4*m - 7*m - 52625 = -5*j. Calculate the remainder when j is divided by 87.
85
Let v(t) be the first derivative of -24*t**2 + 503*t - 406. Calculate the remainder when v(7) is divided by (-12)/(-1)*(-14)/(-4).
41
Let g = 129 - 9. Let r(z) = 20*z**2 + 2544*z + 2546. Calculate the remainder when g is divided by r(-1).
10
Suppose -5*i = i + 3*i - 3636. Calculate the remainder when i is divided by 24.
20
Suppose 0 = -3*k + 2*k + 6. Suppose -4*g = -2*s + 284, -10*s + k*s = -5*g - 574. Calculate the remainder when s is divided by 21.
20
Let p be (-46)/(-414) - (-74)/(-18). What is the remainder when (1/p)/((-3)/2652) is divided by 28?
25
Suppose 3 + 4 = 7*n. Let y be n/(-6) - 21*117/(-162). Calculate the remainder when 119 is divided by 10/25 - (-609)/y.
37
Let v be 109/5 - (-12)/60. Suppose 6*z + v*z = 168. Calculate the remainder when 19 is divided by z.
1
What is the remainder when ((-1)/(45/(-15399)) + 11)*(-5)/(-2) is divided by 89?
82
Let p = -63917 + 63933. Let m(v) = -42*v**3 + v**2 + 2*v + 1. Calculate the remainder when m(-1) is divided by p.
10
Let j(g) = 67*g - 684. What is the remainder when j(31) is divided by 127?
123
Let d be (4 + -16)*2/(-6). Let f(b) = b**3 - b**2 + 4*b - 6. Let r(j) = 10*j**3 - 68*j**2 - 11*j + 10. What is the remainder when f(d) is divided by r(7)?
27
Calculate the remainder when 486 is divided by 2/2 + (202 - 176).
0
Let o = -19 - -35. Let z = 11 + 102. Let r = 141 - z. What is the remainder when r is divided by o?
12
Let n(d) be the second derivative of -1/3*d**4 + 0 - 2*d**2 + 1/2*d**3 + 14*d - 1/20*d**5. Calculate the remainder when n(-6) is divided by 26.
24
What is the remainder when 454 is divided by -5*4/(-25) + (6 - 4930/(-25))?
46
Suppose -8079 - 3002 = -64*j + 39415. Calculate the remainder when j is divided by 19.
10
Let n(a) = -24*a + 3. Let k(d) = -11*d + 2. Let p(j) = -9*k(j) + 4*n(j). Calculate the remainder when 213 is divided by p(4).
3
Suppose 40*v + 1332 = 42*v. Suppose 0*y = 9*y - v. Calculate the remainder when y is divided by 15.
14
Let v(j) = -j**3 + 5*j**2 + 5. Suppose -5*n - h + 299 = -173, -h + 377 = 4*n. Suppose 9*q = n + 94. Calculate the remainder when q is divided by v(5).
1
Suppose -368 = -2*o - 6*o. Let c = 56 - o. Suppos