e the remainder when c(-7) is divided by 4.
3
Let h(x) = 3*x**3 + 2*x**2 + 3*x + 4. Let n(m) = -m**2 - 12*m - 14. Let o be n(-11). Let q be h(o). Calculate the remainder when 503/4 - 17/q is divided by 32.
30
Suppose -5*o - 1616 = 854. Let h = 515 + o. Let c = -37 + 97. Calculate the remainder when c is divided by h.
18
Let h = 23074 + -23063. Calculate the remainder when 877 is divided by h.
8
Suppose 0 = 4*a + 2*m - 0 + 28, 0 = 4*a - 2*m + 36. Let r(f) = -11*f + 1. What is the remainder when r(-4) is divided by (-1311)/(-228) + (-10)/a?
3
Suppose -3*a - o + 165 = 0, -275 = 51*a - 56*a - 4*o. What is the remainder when 1043 is divided by a?
53
Calculate the remainder when 205 - (10 + (3 - 18)) is divided by 206.
4
Suppose 455 = 3*o + 26. Let z = 157 - o. Calculate the remainder when 40 is divided by z.
12
Let a(d) = 16*d**3 - 1118*d**2 - 137*d - 98. Let b = 1149 - 480. Calculate the remainder when b is divided by a(70).
109
Let s(a) = -193*a**3 + 27*a**2 + 32*a + 5. What is the remainder when 5402 is divided by s(-1)?
191
Suppose -8*t = t + 27. What is the remainder when 149 is divided by ((-7)/t)/(6/36)?
9
Let a(c) = -6715*c - 20. Calculate the remainder when a(-2) is divided by 263.
260
Let i(m) = -2*m**3 - 13*m**2 + 2*m + 105. Calculate the remainder when 4458 is divided by i(-5).
18
What is the remainder when ((-31)/(-4))/(31/1116) is divided by 46?
3
Let u(o) = -o**2 + 2*o - 4. Let c be u(2). Suppose 8*j - 11*j - 3 = 0. Let y = j - c. What is the remainder when 6 is divided by y?
0
Suppose 2997 = 5*r + 4*q, r - 3*q + 595 = 2*r. Suppose -161 + 38 = -s - 2*c, -r = -5*s + 4*c. What is the remainder when s is divided by 25?
21
Let r = 244 - 173. Suppose -9*b = 17 - r. What is the remainder when 13 is divided by b?
1
Suppose b = -i - 57 + 203, -5*i + 307 = 2*b. Suppose 44 = 4*v + h - 72, 5*v = -2*h + 136. Calculate the remainder when b is divided by v.
13
Let k(y) be the third derivative of -y**6/120 + 13*y**5/30 - 7*y**4/12 - 2*y**3 - 4*y**2 - 4. Calculate the remainder when k(25) is divided by 12.
11
Let j(z) = 318*z**3 + 2*z - 2. Suppose 3*g - 6 = -g + 2*o, -5*g + 4*o = -9. What is the remainder when j(g) is divided by 29?
28
Suppose -35 = -6*u + u. Suppose -18 = -3*i - 12. Suppose 5*w - 8*r - 226 = -4*r, -232 = -5*w - i*r. Calculate the remainder when w is divided by u.
4
Let u = -11 - -16. Suppose -7 = -3*w - i + 18, 0 = 5*w - u*i - 55. Let t(r) = -r - 12. Calculate the remainder when w is divided by t(-21).
0
Suppose 2*t - 10 = 0, 5*r + 2*t - 120 = 6*t. Let g(s) = -17*s**2 - 44 + 19*s + 15 + 12*s**2 + 4*s**2. Calculate the remainder when g(12) is divided by r.
27
Let b(y) = -7 - 3*y**3 + 4*y + 8*y**3 - 6*y**2 + 0*y**3 - 4*y**3. Let s be b(6). Suppose -2*k + k + s = 0. Calculate the remainder when 32 is divided by k.
15
Suppose 1503 + 157 = 20*j. What is the remainder when 118 is divided by j?
35
Let c(s) = s**3 + 11*s**2 - 19*s - 73. Let k be c(-5). What is the remainder when (k/(-28))/((-7)/49) is divided by 15?
13
Suppose -3*t = -5*t - 5*t. Suppose -4*d + 742 + 1542 = t. What is the remainder when d is divided by 26?
25
Suppose l = -l + 48. Let n = 0 + l. Suppose -u + 13 = -g, 0*g = 4*g - 4. Calculate the remainder when n is divided by u.
10
Suppose 0 = 2*p - 8, -2*w - p + 85 - 7 = 0. Calculate the remainder when 142 is divided by w.
31
Suppose -440*y + 16*y + 343970 = 106*y. What is the remainder when y is divided by 312?
25
Let m = 203 + -197. Suppose 112 = m*j + 2*j. Calculate the remainder when 65 is divided by j.
9
Let i be ((-4)/(-1))/(6/54). Suppose 0 = 6*m - 15*m + i. Suppose m*v = -20, 3*s + 4*v = -v + 395. Calculate the remainder when s is divided by 48.
44
Suppose 22*y = 20*y + 6, 0 = 4*t - 3*y - 1335. Calculate the remainder when t is divided by 58.
46
Let a = 217 - 217. Suppose 5*h + 2*j - 226 = -a*h, 2*h + j = 90. What is the remainder when 181 is divided by h?
43
Let o = 807 - 771. Calculate the remainder when 4 + (2 + 59 - -2) is divided by o.
31
Let z be -17 + (12/(-20) - 8/(-5)). What is the remainder when 85 is divided by (-15 - -7)*44/z?
19
Suppose 1733*o - 1729*o - 83 = -27. Calculate the remainder when (-7)/28 + 293/4 is divided by o.
3
Suppose 86*w - 89*w + 13828 = 4*t, -5*w = 2*t - 6886. What is the remainder when t is divided by 89?
81
Suppose 60*b + 10 = 50*b. Calculate the remainder when 2/(-6)*-3*59 - b is divided by (-2)/(-4) - (-90)/4.
14
Let b(s) = -5*s - 95. Let k be b(-20). Suppose k*x - 175 = -0*x - 4*y, -53 = -2*x - 5*y. Calculate the remainder when x is divided by 9.
3
Suppose 2*s + 7442 = 8316. What is the remainder when 2192 is divided by s?
7
Suppose d - 5 = 14. Let g(p) = -36 - 40 + 60 + d*p. What is the remainder when g(5) is divided by 20?
19
What is the remainder when 209 is divided by 272*7/224*24?
5
Suppose -2*s - 6 = 0, -5*b - 10*s = -12*s - 241. Calculate the remainder when 227 is divided by b.
39
Let n be (-60)/(-18) + 2/3. Suppose -3*q + 207 = 2*i + n, -4*i = -4*q + 284. Calculate the remainder when 411 is divided by q.
66
Let c = -50 - -111. Let g(i) = 6*i**3 + 4*i**2 + 3*i + 2. Let v be g(-2). Let w = v + c. What is the remainder when w is divided by 13?
12
Let i be 12/24 - -353*2/4. Calculate the remainder when (i/4)/((-81)/(-216)) is divided by 27.
10
Let u(b) = -2*b**3 - 46*b**2 + 6*b + 166. Calculate the remainder when 1037 is divided by u(-23).
1
Let h(y) = 4*y + 65. Let n be h(-21). Let g(p) = p**3 + 19*p**2 + 47. Calculate the remainder when g(n) is divided by 10.
7
Suppose 18*w = 13*w + 280. What is the remainder when w is divided by 4*(-1160)/(-224) + 4/14?
14
Let y(a) = 2 - a**2 - 7*a - 7*a + 19 - 4*a + 6*a**2 + a**3. What is the remainder when 90 is divided by y(-7)?
41
Let x(d) = -d**3 - 25*d**2 + 44*d + 43. Let r be x(-26). Let u = 469 + r. What is the remainder when 215 is divided by u?
39
Let b = 43 - 23. What is the remainder when b is divided by 2 + ((-591)/(-33) - 10/(-110))?
0
Let j(u) = u**3 + 9*u**2 - 5*u - 7. Suppose 0 = -8*b - 247 + 815. Let y = 81 - b. What is the remainder when j(-9) is divided by y?
8
Suppose -48*p + 94 + 242 = 0. Suppose -u - 3*s + p*s = -14, -63 = -3*u + 5*s. What is the remainder when 179 is divided by u?
23
Suppose 66*d = 5*y + 69*d - 1460, 2*y = 3*d + 605. What is the remainder when y is divided by 131?
33
Let d = 1 - -2. Suppose -2*a + 116 = -120. Let t = a - 103. What is the remainder when t is divided by d?
0
Suppose -9*h = -17 - 28. Suppose -6*b + 3*c - h = -5*b, -5*c = 2*b - 34. What is the remainder when b is divided by 3?
1
Suppose -1212 = -3*z + 351. Suppose z = 5*y + 146. Let k = 85 - y. Calculate the remainder when 33 is divided by k.
3
Suppose -2*o + 760 = 274. Let n = -220 + o. Let z(i) = 15*i - 1. What is the remainder when n is divided by z(1)?
9
Suppose 3*k + 3*m = -3, k + 0*k = m + 9. Suppose -2*i + 82 = 2*z + 52, 2*z = -5*i + 78. What is the remainder when -31*(-3)/6*k is divided by i?
14
Let g(o) = -o**3 - 20*o**2 + 33*o - 23. Let x be g(-23). Suppose 3*n - 10*n = -x. Calculate the remainder when n is divided by 30.
25
Suppose 12*d + 1998 = 9*d. Let g = d - -271. Let r = g - -609. What is the remainder when r is divided by 36?
34
Suppose 3*y - d - 22 = 242, 21*y - 2*d - 1893 = 0. Calculate the remainder when 1812 is divided by y.
83
Suppose -3016 = 235*v - 243*v. Let z = -26 - -102. Calculate the remainder when v is divided by z.
73
Let j(d) = 9*d**2 - 2*d. Calculate the remainder when j(5) is divided by ((-117)/(-18))/(1443/1998).
8
Let c be 1 - (-150)/36 - (-3)/(-18). Calculate the remainder when 71 is divided by ((-6)/c)/((-46)/40 + 1).
7
Let l(m) = 11*m + 11. Let d be l(11). Let c = d + -132. Suppose -2*u + 8 = -c*u. What is the remainder when 57 is divided by u?
1
Let b = -30 - -34. Calculate the remainder when ((-2)/b)/(13/(-3666)) is divided by 24.
21
Let d(k) be the first derivative of -k**4/2 + 10*k**3/3 - k**2/2 - 6*k + 11. What is the remainder when 591 is divided by d(4)?
19
Suppose 9*f + 12 = 12*f. Let k(s) = -2*s + 23. Calculate the remainder when 175 is divided by k(f).
10
Let v(i) = 2*i**2 + 42*i + 335. Calculate the remainder when v(-14) is divided by 62.
15
Let l = 2933 + -2844. Calculate the remainder when 277 is divided by l.
10
Suppose 341 = 1174*m - 1163*m. Let i(q) = q**3 - 3*q**2 - 3*q + 5. 