Let h(o) = o**2 + 33*o - 215. Let y = -644 - -605. What is the remainder when 434 is divided by h(y)?
16
Suppose -5*x + 2*r = -42, -4*r + 5 - 1 = x. Suppose 0 = -x*v + 13*v - 375. Calculate the remainder when v is divided by 19.
18
Let x = 7450 - 7397. What is the remainder when x is divided by 14?
11
Let s(c) = -2*c**3 + 18*c**2 - 12*c + 5. What is the remainder when 7/(14/1324*2) is divided by s(8)?
35
Let u(h) = h**2 + 3*h - 2. Suppose 0 = -5*f - 9*f + 56. What is the remainder when 103 is divided by u(f)?
25
Let a = 21722 + -15168. What is the remainder when a is divided by 79?
76
Suppose 4*t - 5*h = 55, -3*t + h = 5*h - 18. Suppose 5*z = -4 - 16. Calculate the remainder when ((-10)/15)/(z/294) is divided by t.
9
Let c(i) = i**3 - 136*i**2 - 162*i + 3676. What is the remainder when c(137) is divided by 9?
8
Suppose -4*p - 25*h = -30*h - 544, 4*p + h = 520. Calculate the remainder when p is divided by 52.
27
Let r = 503 - 260. What is the remainder when r is divided by 239?
4
Suppose 3*r + 40 = -17*b + 16*b, -r + 216 = -5*b. Let y(a) = a**3 + 45*a**2 + 84*a - 76. Calculate the remainder when 277 is divided by y(b).
7
Let x(c) = 826*c**2 + 258*c + 258. Let o = -62 - -131. Calculate the remainder when x(-1) is divided by o.
67
Let k(d) = -2 + 46*d**2 - 47*d**2 - 5 - 11*d. Let s be (2/4)/((-1)/18). What is the remainder when 30 is divided by k(s)?
8
Suppose 50*o = 186*o - 10744. Calculate the remainder when 142 is divided by o.
63
Suppose -269 = 3*w - 1211. Let y(a) = -a + a - w*a**2 - 4 + 315*a**2 + 3*a**3. Calculate the remainder when 118 is divided by y(2).
22
Let d = 142 - 126. Suppose -432 - 224 = -d*c. Calculate the remainder when c is divided by 14.
13
Let d(p) = 2*p + 4. What is the remainder when ((-462)/105)/((-2)/35) is divided by d(5)?
7
Suppose -24 = 15*u - 9*u. What is the remainder when (2 - 3 - u) + (-117)/(-3) is divided by 11?
9
Let g = -619 - -669. Calculate the remainder when 2147 is divided by g.
47
Let i be (-1)/(-3 - 42/(-15)). Suppose -3*h = 2*k - 106, -2*h = -i*k - 13 - 83. What is the remainder when 103 is divided by h?
27
Suppose 337*o - 338*o = -4. What is the remainder when 181 is divided by o?
1
Let g(u) = -33*u + 6 + 4*u**3 + 18*u - 3*u**3 + 0*u**2 + 7*u**2 + 12*u. Calculate the remainder when 98 is divided by g(-7).
17
Let o = 273 + -119. Suppose -4*z - 4*t + 252 = 0, 6*z + o = 9*z - 4*t. What is the remainder when z is divided by 6?
4
Suppose -5*d - 7 = 3*s - 473, 3*d + s = 282. Let c(p) = -p**3 - 2*p**2 + 2*p + 1. What is the remainder when d is divided by c(-4)?
20
Suppose -1029 + 333 = -49*n + 25*n. What is the remainder when 63 is divided by n?
5
Suppose -2*q - 2*q = -2*n + 114, -2*q + 10 = 0. Calculate the remainder when 1892 is divided by n.
16
Let y(k) = -14*k**3 + 163*k**2 + 72*k - 28. What is the remainder when y(12) is divided by 104?
12
Suppose 4*n + 5*p = 9365, 5*n - 10*p - 11710 = -15*p. Calculate the remainder when n is divided by 212.
13
Let l(k) = -k**2 - 2*k. Let t be l(-7). Let w = 39 + t. Let b = 11 - w. Calculate the remainder when b is divided by 3.
1
Suppose -1424 = 189*d - 7661. What is the remainder when 1347 is divided by d?
27
Let h = -11353 + 11376. Calculate the remainder when 2253 is divided by h.
22
Suppose 3*h - 33 - 144 = 0. Let l = -87 + 87. Suppose -2*k + 8 = q, l = 4*q - k + 14 - 64. What is the remainder when h is divided by q?
11
Let w(h) = -h**3 + 12*h**2 - 141*h + 1510. Let f be 1*-2*(-86)/4. Let a = f + -16. What is the remainder when w(11) is divided by a?
26
Let j(w) = 27*w - 174. Let m(b) = 9*b + 88. Let r be m(-9). What is the remainder when j(r) is divided by 2?
1
Suppose 3651 = 23*b - 15094. Let a = 850 - b. Calculate the remainder when 345 is divided by a.
30
Let s = -196 + 200. Calculate the remainder when 194 is divided by 70 - 4*s/4.
62
Suppose -2*g + 34 + 108 = 0. Let v = g + -65. Let n = v + 59. What is the remainder when n is divided by 35?
30
Suppose 4*c + 30 = d, 0 = -3*d + 3*c + 96 - 15. Let n = d - 24. Suppose w + 0*r = n*r + 112, -4*r + 20 = 0. What is the remainder when w is divided by 42?
38
Suppose 15*x + 18*x = 10692. Suppose 12*r - 3*r - x = 0. Calculate the remainder when r is divided by 19.
17
Let k = 4497 - 4488. Calculate the remainder when 2436 is divided by k.
6
Suppose 0 = m + 2*l - 4*l + 9, 4*l - 63 = 5*m. Let h = m + 7. Let p(q) = -4*q - 18. What is the remainder when 55 is divided by p(h)?
13
Suppose -6*m = -m - 225. Let v = -54 + 53. Calculate the remainder when m is divided by 3/12*(v - (-70 - -1)).
11
Let j(o) = -24*o**3 - o**2 + o + 1. Let r be j(-1). Let n = -1219 + 1295. Let l = n - r. What is the remainder when l is divided by 14?
11
Suppose 3*b + 5368 = 747*h - 742*h, -2*h = b - 2145. What is the remainder when h is divided by 110?
83
Suppose -2*w = -4*w + 46. Let f be 100 + -10 + (0 - -5). Let d = -57 + f. What is the remainder when d is divided by w?
15
Suppose -8*q + 8 = -8. Let x(k) = 12*k - k**3 - 9*k**2 - 2*k**q - 3*k + 19. What is the remainder when x(-12) is divided by 20?
15
Let i = 7430 + -7395. Calculate the remainder when 37 is divided by i.
2
Let p = 411 + -404. Suppose p*d - 430 = 1159. Calculate the remainder when d is divided by 47.
39
Let i = 40 - 26. Suppose 5*v - 109 = g - 5*g, 4*v - 83 = g. Suppose 0 = v*q - 679 + 154. What is the remainder when q is divided by i?
11
Suppose 3*m - l = -m - 245, -l - 121 = 2*m. Let i = 67 + m. Suppose 4*o = -i*o + 140. Calculate the remainder when 96 is divided by o.
12
Suppose 2*j - 75 = 3*a, -90 = -3*j - 2*a - a. Let q be (2/2)/(10/(500/10)). Suppose -q*d = -25*d + 1900. Calculate the remainder when d is divided by j.
29
Suppose 58 = 5*c + z, 254*c - 4*z - 44 = 251*c. What is the remainder when 6682 is divided by c?
10
Suppose -29*b + 46683 + 26832 = 0. Calculate the remainder when b is divided by 43.
41
Let x be 82/10 + (-7)/(-140)*-4. Suppose -91 = -x*m - 35. Suppose c = -m + 17. What is the remainder when c is divided by 2?
0
Let f(h) = -h**3 - 61*h**2 - 173*h + 306. Suppose 4*q = 72 - 24. What is the remainder when f(-58) is divided by q?
8
Suppose -3*u - 67 = 3*h + u, -5*h + 4*u = 69. Let j(k) = -k**2 - 11*k - 6. Let d be j(-4). Let p = d + h. What is the remainder when 24 is divided by p?
4
Suppose -2*b + 465 = t + 27, 2*t + 860 = 4*b. What is the remainder when b is divided by 83?
51
Suppose 17*b = 20*b - 582. Calculate the remainder when b is divided by -3*4*(279/(-27) + 8).
26
Suppose 3877*c - 21978 = 3811*c. What is the remainder when c is divided by (23 - 0) + 0 + 1?
21
Suppose 187*s - 350 = -5*p + 182*s, -2*p = s - 144. Calculate the remainder when 943 is divided by p.
55
Suppose 0 = 40*w - 93*w + 1272. What is the remainder when 116 is divided by w?
20
Let q(m) be the third derivative of -2*m**4/3 - 4*m**3/3 - 2*m**2 - 30*m. What is the remainder when q(-7) is divided by 53?
51
Let p be 6/9 - (-3774)/9. Suppose p = 6*h - h. Suppose 98*a - 44 = 96*a. What is the remainder when h is divided by a?
18
What is the remainder when ((-39380)/(-176))/(10/16) is divided by 22?
6
Let a(i) = 52*i - 2. Let g(q) be the first derivative of q**2/2 + 59*q + 358. Calculate the remainder when a(4) is divided by g(-17).
38
Suppose 4*v - 3*s - 14560 = 0, -26*v - 5*s = -25*v - 3663. What is the remainder when v is divided by 37?
17
Calculate the remainder when ((-1)/3)/(6/(-1476)) is divided by 75 - (-240)/(-70)*7.
31
Calculate the remainder when (28 + -31)*((-2)/5)/(3/22535) is divided by 29.
24
Let q(l) be the third derivative of 43*l**5/12 - 5*l**4/6 + 10*l**3/3 - l**2 + 15*l. What is the remainder when q(1) is divided by 44?
39
Calculate the remainder when (-10)/(-95) + 0 + 74452/266 is divided by 154.
126
Let j = 1 - -2. Suppose -23 = -j*z + 22. What is the remainder when ((-142)/(-5))/(9/35 + 109/763) is divided by z?
11
Let s = 593 + -387. Suppose j = -9*y + 5*y + 213, -235 = -5*y + 5*j. What is the remainder when s is divided by y?
50
Let q(g) = g**3 - 23*g**2 + 143*g + 97. Calculate the remainder when q(15) is divided by 30.
22
Suppose -68*o + 2353 + 1659 = 0. What is the remainder when o is divided by (-32 - -1)/(-3 - -2)?
28
Let b(x) = 6*x + 24. Let j be b(-4). Suppose 8*i + j*i - 112 = 0. Calculate the remainder when i is divided by 9.
5
Let x = -105 - -174. Let w = x +