r when u is divided by 100.
4
Let s(t) = 0*t**2 + 15*t**2 - 12*t - 10 - 6 - t**3. Suppose -4*v = -z + 26, 11*z + 3*v = 9*z + 19. Calculate the remainder when 45 is divided by s(z).
9
Let t(f) = -f**3 - 7*f**2 + f + 8. Let w = 2881 - 2566. What is the remainder when w is divided by t(-8)?
59
Let a = -4787 + 5166. Calculate the remainder when 763 is divided by a.
5
Suppose 46*i - 446 = 3050. Let d(p) = -14*p. Let b be d(-4). Let x = i - b. Calculate the remainder when 98 is divided by x.
18
Let p be 32/12 + (-4)/6. Suppose 2*j - p = 10. Let w(r) = -r**2 + 83*r - 36. What is the remainder when w(82) is divided by j?
4
Let s(i) = 17*i**2 - 54*i + 53. What is the remainder when 206 is divided by s(1)?
14
Let p(f) = f**2 - 11*f - 48. Let q be p(-9). Suppose -33*i + 165 = -q. What is the remainder when 14 is divided by i?
5
Let q(w) = w**3 - 5*w**2 - 7*w + 3. Let t be q(6). Let j(l) = -8*l**2 - 9*l - 9. Let h be j(t). Let y = 144 + h. What is the remainder when y is divided by 23?
21
Suppose 0 = -23*o + 5315 + 11268. Let z = 836 - o. Calculate the remainder when 456 is divided by z.
111
Let j = -16572 - -16666. What is the remainder when 3477 is divided by j?
93
Let o be 3/((-27)/(-48)) + 15/9. Calculate the remainder when 11*(-6 + 20)/o is divided by 6.
4
Suppose -18*l = 174*l - 2880. Let z(q) = 3*q**2 - 7*q - 1. Calculate the remainder when z(7) is divided by l.
7
Suppose -4*j + 1280 = 2*r, 315*r - 318*r = -2*j - 1944. Calculate the remainder when r is divided by 109.
101
Suppose -46 = q - 48. Suppose -3*i + 3*h + 39 = 0, 6*i = q*i + 2*h + 52. What is the remainder when 244 is divided by i?
10
Suppose -718*t = -727*t + 10179. What is the remainder when t is divided by 27?
24
Let i(p) = 4*p**2 - 8*p - 6. Suppose 359 = 45*t - 189 - 307. What is the remainder when i(6) is divided by t?
14
Let h(g) = g + 6. Let z be h(0). Let f = 2216 + -2226. Calculate the remainder when (-2 - 477/z)*f/5 is divided by 11.
9
Suppose 5*w + 5*v = 35, 5*w - 2*v - 4 = w. Let t = 1016104 - 1016094. What is the remainder when (-2 - -5)*32/w is divided by t?
2
Let i = 10932 - 10879. What is the remainder when 271 is divided by i?
6
Calculate the remainder when 185 is divided by (-56)/42*(-57)/4.
14
Suppose -4*f + 455 - 443 = 0. Suppose 5*a - x + 4*x - 22 = 0, f*a + 14 = 5*x. Calculate the remainder when 12 is divided by a.
0
Suppose 3*q + 0*r = 5*r - 803, -1114 = 4*q + 2*r. Calculate the remainder when 181 is divided by (-1 + 0)/(12/q).
20
Let u(c) = -c**3 - 8*c**2 + 17*c - 1. Let b be u(-7). Let i = b + 272. Calculate the remainder when i is divided by 2.
1
Suppose -123 = -23*y + 1089 + 237. What is the remainder when y is divided by 63?
0
Let t(y) = y**3 + 14*y**2 + 23*y + 7. Suppose 3*b = 4*g + 11, -3*g + 5*b - 89 = -67. Calculate the remainder when t(-12) is divided by g.
0
Let l(a) = 18*a**2 + 210*a + 501. Calculate the remainder when 0 - (-1 + -2*98) is divided by l(-3).
32
Suppose 0 = -7821*z + 7809*z + 12996. What is the remainder when z is divided by 59?
21
Suppose 4*r - 6406 = 3*i, 2*i + 2185 = 2*r - 1021. Calculate the remainder when r is divided by 41.
39
Suppose 2*b - 1077 = h, 5*b + h - 3*h - 2692 = 0. Suppose -2*i + 276 = -4*j, 2*i - b = -2*i + j. What is the remainder when i is divided by 14?
8
Let v(o) = -16 + 28 - o + 0. What is the remainder when 8/(-6)*-3 - -4 is divided by v(9)?
2
Let d(n) = -2*n**2 + 20*n + 200. Calculate the remainder when 192 is divided by d(16).
0
Let c = -10 - -24. Let x be -2*(0 - 11)*1. What is the remainder when -2 + (-33)/x*(-58)/3 is divided by c?
13
Let y be 6/36 - 0 - 2/12. Suppose -4*z + 21 = 2*b - 33, y = -5*z + 2*b + 90. What is the remainder when 47 is divided by z?
15
Let f(d) = 5*d**2 - 5*d + 27. Let h be f(5). Let s = 172 - h. What is the remainder when s is divided by 12?
9
Suppose 10 = d + 4*z, -5*z + 6 + 14 = 2*d. Let g be (-16)/(-6)*(-56 + 59). Suppose -x + 10 = -g. What is the remainder when x is divided by d?
8
Suppose 7*d = 24 + 4. Let h be -4 + 5 + 3 - d. Suppose h = -2*q - 8, 2*q + 40 = 5*y - 3*q. Calculate the remainder when 14 is divided by y.
2
Suppose 0 = -4*q - 44*q + 672. What is the remainder when 1028 is divided by q?
6
Suppose -4*w + 11*w + 532 = 0. Let c be (19/(-4))/(19/w). Suppose -3*p - 1616 = -c*p. Calculate the remainder when p is divided by 13.
10
Calculate the remainder when 196 is divided by ((-45)/27)/(20/(-636)).
37
Let u(s) = -5*s - 13. Let f be u(-3). Suppose 5*b - 86 = -f*k, 4*b + 4*k = -k + 79. What is the remainder when 6/18 - (-690)/27*3 is divided by b?
13
Let v(h) = -h**2 - 13*h - 19. Let k be v(-9). Let y = k - 4. Let p = 114 - 67. What is the remainder when p is divided by y?
8
Suppose 0 = -7*t - 15 + 71. What is the remainder when (t/7)/((-60)/(-210)) is divided by 2?
0
Let q(t) = t**3 + t**2 - t + 4. Suppose 4*p - 3*p - 5*h = 26, 104 = 4*p + h. What is the remainder when p is divided by q(0)?
2
Suppose -11*v + 705 = -6*v. What is the remainder when v is divided by 13/1 - (0/(-5))/1?
11
Suppose 0 = 9*t - 11*t + 2. Let m be -1 + -1 + t + 157. Suppose d + 5*d = m. What is the remainder when d is divided by 14?
12
Suppose -92*o + 115858 = -430. Calculate the remainder when o is divided by 79.
0
Suppose 0 = -16*b + 15 + 17. Suppose -82 = -b*x - 20. Calculate the remainder when 58 is divided by x.
27
Let t(o) = o**2 + 7*o - 35. Let q(s) = 3*s**2 - 4*s - 1. Calculate the remainder when t(5) is divided by q(3).
11
Suppose -4*a - 6*w + 249 = -w, 265 = 5*a - 3*w. Let q = 74 - a. Let n = 88 - q. Calculate the remainder when n is divided by 36.
34
Let v(q) = 20*q - 12. Let s be v(10). Suppose 3*n + s = 4*n. Suppose -3*d + n = d. What is the remainder when d is divided by 17?
13
Suppose 24*v = -44*v - v + 22770. Calculate the remainder when 1006 is divided by v.
16
Let m(s) = 10*s**2 - 17*s - 40. Calculate the remainder when 309 is divided by m(4).
49
Let p be 4*14/16*(-72)/(-3). Let k(a) = a**3 + 5*a**2 + 3*a + 1. What is the remainder when ((-24)/p)/((-2)/112) is divided by k(-2)?
2
Suppose 201 = 4*v + 5*h, 9*v = 10*v + 3*h - 66. What is the remainder when 1948 is divided by v?
37
Let s = 33 + -22. Let h(a) = -a**2 + 10*a + 14. Let w be h(s). Suppose -5*k - 4*j = -110, -2*k - 3*j - w = -3*k. What is the remainder when 32 is divided by k?
14
Let t(x) = 22*x**3 + 2*x**2 + 20*x - 21. Calculate the remainder when 1287 is divided by t(1).
22
Suppose 2*b - 2*u = 114, -7*b - u + 253 = -3*b. What is the remainder when 306 is divided by b?
58
Let n = -3137 - -3273. Calculate the remainder when 167 is divided by n.
31
Let h(z) = 3*z**3 + 4*z**2 - 38*z + 16. Calculate the remainder when 2669 is divided by h(3).
9
Let w be (-6)/(412/2260 + 1/(-5)). Suppose -109*r - w = -112*r. Calculate the remainder when r is divided by 57.
56
Let r(u) = 2*u**2 + 2*u + 1. Calculate the remainder when r(-4) is divided by 36/15*(-945)/(-252).
7
Suppose 5*r - 613 = -y, -49*y + 44*y = 2*r - 2904. Calculate the remainder when y is divided by 11.
6
Suppose 5*r - 2*r + 1085 = 5*g, -15 = -3*r. Let o = 248 - g. What is the remainder when o is divided by 18?
10
Suppose 4*x - 119*g + 115*g - 396 = 0, -4*x - 2*g = -426. Let i(b) = -b**2 + 7*b + 2. Calculate the remainder when x is divided by i(5).
8
Calculate the remainder when 418 is divided by ((-600)/(-200))/(2/78).
67
Suppose 142*t = -51*t + 1123 + 228. Calculate the remainder when 125 is divided by t.
6
Suppose x - 3*f + f - 24 = 0, 5*x - 94 = -3*f. Suppose -2993 - 3233 = -566*r. Calculate the remainder when x is divided by r.
9
Let h be ((-60)/8 + 8)*(-36)/(-1). Suppose h*g = 153 + 261. Calculate the remainder when 344 is divided by g.
22
Let n be ((-4)/(-8) + 0)*(-2 - -836). Suppose h + 402 = n. What is the remainder when h is divided by 8?
7
Let x(m) = -3*m + 13*m**2 - 2*m**2 + m**3 + 20*m + 0*m**3 - 3. What is the remainder when 15 is divided by x(-9)?
3
Let s = -18 - -18. Let d(k) = 2*k**2 - k + 66. What is the remainder when 262 is divided by d(s)?
64
Let k = 801684 + -801525. What is the remainder when k is divided by (-9)/(-2)*(3 + 1)?
15
Suppose 27*n + 293 = d + 28*n, -3*n + 283 = d. Calculate the remainder when d is divided by 19.
13
Let i = -45267 + 45277. Let y = 15 + -9. Calculate the remainder when i is divided by y.
4
Suppose 5*s + 32 = c - 5, 220 = 4*c +