remainder when j(-8) is divided by 19.
11
Let o(u) = u**2 + 6*u - 3. Let v be o(-6). Let r be -2 + (-2)/v*3. Suppose t - 9 = -r. Calculate the remainder when 61 is divided by t.
7
Suppose -4*q + 5*r = -178 - 493, 0 = -4*q - 5*r + 761. Suppose 2 = -2*g, -3*t - g + 5*g = -19. What is the remainder when q is divided by t?
4
Suppose 144 = -7*t + 4*t. Let c be 4*(-18)/t*(-4)/6. Calculate the remainder when 7 is divided by (7 - 33/4)/(c/4).
2
Suppose 4*b + 974*z - 970*z - 2192 = 0, 0 = 5*b - 5*z - 2780. Calculate the remainder when b is divided by 182.
6
Suppose -19038 = 14*p - 33*p. Calculate the remainder when p is divided by 25.
2
Let j = -1828 + 1875. What is the remainder when j is divided by 39?
8
Suppose 3*h = 5*r - 29, 5*h = -r - r - 7. Suppose 0 = r*v + 34*v - 190. Let d = -10 - -29. Calculate the remainder when d is divided by v.
4
Let r(h) = -h**2 - 9*h - 5. Let g be r(-9). Calculate the remainder when (g - -8)/(1/99) + 3 is divided by 76.
72
Suppose 4*u - 690 + 12 = 3*f, 4*u - 5*f - 674 = 0. Suppose -13*b + 169 = -208. Calculate the remainder when u is divided by b.
26
Let h(s) = 4*s**2 - 2*s + 9. Suppose 2*l = 4*t + 6*l + 60, -2*l + 3 = -t. Let n be 2/(-7) - t/(616/(-208)). What is the remainder when h(n) is divided by 21?
18
Let x = 273 + -254. Suppose 4*t + 3*v = 811, x*v - 23*v = -20. What is the remainder when t is divided by 68?
63
Let d(h) = -3*h**2 - 6*h + 27. Let o be d(8). Let x = -146 - o. What is the remainder when x is divided by 17?
16
Suppose 182 = -23*x + 10*x. What is the remainder when 376 is divided by (8/((-16)/x))/((-1)/(-6))?
40
Let w(c) = 6*c**2 + 6*c - 39. Let p = 554 + -550. Calculate the remainder when w(p) is divided by 20.
1
Let y = -3 + 3. Suppose 4*a = -5*m + 989, 454 = 3*m - a - 153. Suppose -3*i + y*i + m = 0. What is the remainder when i is divided by 23?
21
Suppose 4*z + g + 5 = 0, 6*g - 2*g = z - 20. Suppose z = 5*f - 0 - 30. Calculate the remainder when 123 is divided by f/(-16) - (-1695)/40.
39
Let h(k) be the second derivative of 2*k**3/3 - 13*k**2/2 + 15*k. Let y = 19 + -9. Calculate the remainder when 107 is divided by h(y).
26
Let n = 51 - 48. Suppose -3*o - 4*s = -85, n*o - 7*o - s + 109 = 0. Calculate the remainder when o is divided by (2 - 9)/(-6 + 33/6).
13
What is the remainder when 109 is divided by (26/(-91) + 1010/(-42))*-3?
36
Suppose -h + 1 = 0, 4*a - 7*h + 2*h - 827 = 0. Let x = -199 + a. Suppose -32 = -0*q - q. Calculate the remainder when q is divided by x.
5
Let v = 15 - -32. Suppose 3*h - 2*j = -530, -6*j - 898 = 5*h - 2*j. Let i = -166 - h. Calculate the remainder when v is divided by i.
11
Let p = 136 - -56. Let c = p - 75. What is the remainder when c is divided by 32?
21
Suppose 3*c - 21 = -3*q, 0 = -21*q + 20*q + c + 3. What is the remainder when 1104 is divided by q?
4
Let n = 93 + -89. Suppose -o - n*o = x - 40, -4*o = 5*x - 116. Suppose 0 = 2*p + 18 - 40. Calculate the remainder when x is divided by p.
9
What is the remainder when 102 is divided by ((-8)/12*-47)/(12/18)*1?
8
Let i = -150 - -182. Let w(r) = -r**2 - 9*r - 12. Calculate the remainder when i is divided by w(-6).
2
Suppose 3*c + 5*x = 56, -c = 2*x - 3 - 18. What is the remainder when 169 is divided by c?
1
Suppose 209 = -5*w + 3*j + 3597, 0 = 2*j - 8. What is the remainder when w is divided by 152?
72
Let p = -2134 + 1503. Let m = 660 + p. What is the remainder when 170 is divided by m?
25
Suppose 0 = -3*k - w + 1874 - 350, -6*w + 491 = k. Calculate the remainder when k is divided by 9.
5
Let l(b) = -b**2 - 3*b + 3. Let m be l(-4). Let x be m - ((-114)/8 + (-6)/8). Calculate the remainder when x + 4/(3 + -7) is divided by 8.
5
Calculate the remainder when ((-1632)/(-240))/((-2)/(-170)) is divided by 97.
93
Let r(a) = 38*a + 204. What is the remainder when 49 is divided by r(-5)?
7
Let z = 2581 - 2168. Calculate the remainder when z is divided by 18.
17
Suppose 31*h + 24 = 36*h - 4*u, -5*h - 3*u + 52 = 0. Suppose -7 = -j + 2. What is the remainder when (-17)/((-20)/h - -2) is divided by j?
7
Suppose 2*s + 186 = 6*s + 3*h, -h = -2*s + 98. What is the remainder when s is divided by (180/(-72))/((10/12)/(-5))?
3
Suppose 0 = 2*n + 2*t - 1162, 4*t = 2*n - 376 - 816. Calculate the remainder when n is divided by 9.
1
Suppose 62*l - 53*l = 27. Suppose 0 = -4*t - l*n + 96, 0*n = 4*t - 4*n - 68. What is the remainder when t is divided by 11?
10
Suppose 3*n = 29 - 8. Let q = n - -2. Let v = q - -9. What is the remainder when 69 is divided by v?
15
Suppose 324*h = 299*h + 4850. Calculate the remainder when 1168 is divided by h.
4
Suppose 3*b + 4*x - 665 = 0, 5*b - 838 = x + 255. Calculate the remainder when b is divided by 31.
2
Suppose 0 = 4*l - 3*h - 175, 0*l - l + 44 = -h. Suppose 20 = -5*p, -5*a - 5*p + 4 = -a. Calculate the remainder when l is divided by a.
1
Let q(w) = 3*w**3 + 6*w**2 + 10*w - 136. Calculate the remainder when q(6) is divided by 46.
6
Suppose -5*d + 8*d = 48. Let k be 160/(-5)*(-15)/2. Suppose 3*c - 5*l - 187 = 0, -4*c + 9*l = 7*l - k. What is the remainder when c is divided by d?
11
Suppose 5*i - 5*g + 309 = 2*i, 5*i - g + 537 = 0. Let x = i + 118. Suppose 8*q + 20 = x*q. Calculate the remainder when 69 is divided by q.
9
Let z(q) = 9*q**2 + 34*q + 222. What is the remainder when 1936 is divided by z(-5)?
274
Let t(u) = 2*u**2 - 2*u - 10. Let q be t(-2). Suppose 0 = -l - l - 4*j + 394, 389 = q*l + 3*j. Calculate the remainder when l is divided by 282/24*(-4 - -2)*-2.
46
Suppose v + 8 = -v, 4*v + 28 = 3*h. Let z be 1 - (-9)/h*(-90 - -6). Let x = -114 - z. What is the remainder when x is divided by 20?
14
Let k = 30 + 146. Let y = k - 167. Calculate the remainder when 11 is divided by y.
2
What is the remainder when 2919 is divided by 1 - (5 + (-22 - -12))?
3
Let y = 366 + -364. Suppose y*v = -8, 0 = -5*c - 4*v + 125 + 214. What is the remainder when 279 is divided by c?
66
Suppose 3*q + 2*l - 186 = 0, -5*q + 2*l - 58 = -6*q. Suppose p - 42 = -2*p. What is the remainder when q is divided by p?
8
Suppose -8*d + 1695 + 1313 = 0. Suppose 11*f - 7*f - d = 0. Suppose 12*q + 84 = 15*q. What is the remainder when f is divided by q?
10
Let k(d) = 2*d + 1173. What is the remainder when k(-24) is divided by 49?
47
Let g(f) = 5*f**2 - 38*f + 17. Let z be g(7). Calculate the remainder when 285 is divided by (-2)/(8/z) - (1 - 49).
40
Suppose 0 = -4*r + 3*l + 59, r + 0*l - 16 = l. Suppose -r*d = 120 - 1528. What is the remainder when d is divided by 22?
18
Suppose 4*i + d - 35 = 0, 4*i = 19*d - 24*d + 15. Suppose -i*s = -189 - 51. What is the remainder when 121 is divided by s?
1
Let b be ((-8)/(-5))/(4/(-660)). What is the remainder when 194 is divided by b/(-60)*(3 + 2)?
18
What is the remainder when 371 is divided by (10 + 2/4 - 11)/((-1)/184)?
3
Suppose 100*w - 48060 = 55*w. What is the remainder when w is divided by 183?
153
Suppose -303 + 170 = -14*m - 5*m. Calculate the remainder when 235 is divided by m.
4
Let u = 44 - -140. Let j = -14576 + 14632. Calculate the remainder when u is divided by j.
16
What is the remainder when 3833 + -7 - -7 - -18 is divided by 12?
11
Let d(k) = k**2 + 7*k - 6. Let u be 5/(-1) - 11/(33/(-102)). Suppose -p + 116 = 4*v, -91*v - 4*p - u = -92*v. What is the remainder when v is divided by d(-9)?
5
Let s(u) = 126*u + 516. What is the remainder when 2542 is divided by s(-4)?
10
Let z = 1204 - 805. Calculate the remainder when z is divided by 67.
64
Let c be (784/70)/((-2)/10). What is the remainder when ((-644)/c)/((-2)/(-24)) is divided by 35?
33
Let z(p) = 19*p**3 + 2*p**2 + 55*p - 160. What is the remainder when z(3) is divided by 60?
56
Let g = -13 + 58. Suppose -4*o - 116 = t - g, 4*o - 5*t = -77. Calculate the remainder when 90 is divided by 4 + (-363)/o + 2/(-12).
18
Let f(k) = -k**3 + 5*k**2 + 2*k + 10. Let r be f(7). Let v = 126 + r. What is the remainder when v is divided by (-292)/(-28) - ((-30)/(-70) - 1)?
8
Let f(n) = 90*n - 703. What is the remainder when f(8) is divided by 5?
2
Let q = 2534 - 2407. What is the remainder when 166 is divided by q?
39
Suppose 0 = -4*q - 5*t + 100, -q - 27 = 3*t - 59. What is the remainder when 116 is divided by q?
16
Suppose -5*l - 4*r + 10 + 165 = 0, -l = 4*r - 19. Let t = -2651 - -2665. Calculate the remainder when l is divided by t