 the remainder when 115 is divided by r(c)?
28
Let a = 250 + -131. Suppose -5 = -5*f + 4*x + 53, 24 = 2*f - 2*x. What is the remainder when a is divided by f?
9
Let x = 18 + -11. Suppose 5*z - 12 = 4*l, -3*z = 2*l + x - 1. Calculate the remainder when (-1 + -3)*l + -1 is divided by 6.
5
Suppose 40*i = 54*i - 1918. Let p(g) be the third derivative of g**5/20 + g**4/6 - 2*g**3/3 + 2*g**2. What is the remainder when i is divided by p(-4)?
25
Let o(k) = -2*k - 4 + 7 + 39*k**2 - 8 + 0*k. Let q be o(-2). Suppose -j + q = 4*j. What is the remainder when 90 is divided by j?
28
Let l(f) = 9*f**2 + 13*f - 10. Let x(b) = b**2 - 16*b + 43. Let r be x(4). What is the remainder when l(r) is divided by 22?
18
Suppose -472 = -4*g + 3*g. Suppose -3*y + 4*z = 2 - 75, 2*y - z - 42 = 0. What is the remainder when g is divided by y?
16
Suppose 3832*y = 3829*y + 126. Suppose -3*l = -44 - 91. Suppose l = 2*z + z. What is the remainder when y is divided by z?
12
Suppose 0 = 4*r - 60 - 128. Calculate the remainder when r is divided by ((15 + 15)*-1)/(-8 + 5).
7
Suppose -96*s + 105*s + 3330 = 0. Calculate the remainder when 23 is divided by 4/6 + s/(-240)*8.
10
Let b(q) = q**3 + 44*q**2 + 42*q - 21. Let y(p) = -7*p - 106. Let t be y(-9). Calculate the remainder when 27 is divided by b(t).
5
What is the remainder when (-89010)/(-34) + (-4380)/102 + 43 is divided by 69?
65
Suppose 6*a = 2*q + a - 305, 0 = 2*q - a - 309. Suppose -5*v + 0*p - p + q = 0, 55 = 2*v - p. Calculate the remainder when 83 is divided by v.
23
Let j(v) = -45*v - 11. Let f(a) = a. Let w(s) = -5*f(s) + j(s). Let g be w(-3). Let x = g + -39. Calculate the remainder when x is divided by 6.
4
Suppose -2*y + 6544 = -6*y. Let g = -166 - -274. Calculate the remainder when g is divided by (-4)/22 - y/44.
34
Let g = 529 - 474. Let v(d) = -15*d**2 + d. Let u be v(1). Calculate the remainder when g is divided by (u/4)/(2/(-8)).
13
Let r(x) = 6*x**2 - 6*x - 8. Let y(a) = -a**2 - a - 1. Let o(c) = r(c) + 5*y(c). Let g be (4/(-12))/((-1)/39). What is the remainder when 19 is divided by o(g)?
6
Suppose -39*n = -3416 - 757. What is the remainder when 2994 is divided by n?
105
Suppose 152*f - 176*f = -3144. Calculate the remainder when f is divided by 40.
11
Let p(a) = 141*a**2 - 11*a - 10. What is the remainder when p(-4) is divided by 41?
35
Suppose 5*d + 3*t + t = 130, -4*t = 3*d - 86. What is the remainder when (-23148)/(-234) - (-28)/364 is divided by d?
11
Let x(l) = 7*l + 70. Let k(u) = -11*u - 105. Let j(g) = -5*k(g) - 7*x(g). Calculate the remainder when j(0) is divided by (-76)/(-6)*(-12)/(-8).
16
Let w = 3 - -10. Calculate the remainder when (-20 + 2)/((-4)/92) is divided by w.
11
What is the remainder when 477 is divided by (220/(-33))/((-2)/12)?
37
Let r(g) = -10*g - 390*g**2 + g**3 + 776*g**2 + 7 - 398*g**2. What is the remainder when r(13) is divided by 16?
14
Let n = 15054 - 845. Calculate the remainder when n is divided by 323.
320
Let t = -199 - -282. Suppose q = m + 169, -t = 2*m - 5*q + 252. Let h = 324 + m. Calculate the remainder when h is divided by 40.
34
Let h be 6/8 + 4*(-10)/(-32). Suppose h*w - 2*p = 12, -11 = 2*w + 5*p - 51. Calculate the remainder when 187 is divided by w.
7
Suppose 4*l - 1764 = 4*v - 8*v, 3*l + 11*v = 1339. What is the remainder when l is divided by 22?
21
Let t = 13019 - 7287. Calculate the remainder when t is divided by 21.
20
Suppose 2*c - 15*q - 5 = -16*q, -4*q = 5*c - 14. Calculate the remainder when 742 is divided by c.
0
Let r be (6 - (4 - -4)) + -78. Let m = 129 + r. Calculate the remainder when m is divided by 3.
1
Suppose -650 + 70 = 5*r. Let v = r - -184. Suppose -127*x = -129*x + v. Calculate the remainder when x is divided by 12.
10
Suppose -a + 0*a = -12. Suppose 3*b - 153 = -s, -181 = -764*s + 763*s + 4*b. Calculate the remainder when s is divided by a.
9
Suppose 32 = 2*n - 8. Suppose -c = -3 + 8, 4*c + 36 = 4*q. What is the remainder when n is divided by (1 + 0)*-3 - (-56)/q?
9
Suppose 227*x = 175*x + 5044. Calculate the remainder when 393 is divided by x.
5
Let s = 0 - -43. Suppose -3*b + 7*b + 5*y - 1496 = 0, 0 = -3*b - 3*y + 1128. Calculate the remainder when b is divided by s.
40
Suppose 5*s - 252 - 998 = 0. Suppose -7*t = 4*l - 5*t - 84, l + 4*t = 21. What is the remainder when s is divided by l?
19
Let v = -2063 + 15030. Calculate the remainder when v is divided by 10.
7
Suppose -67*m = -69*m + 6. Let k(s) = -207 + 264 + m*s + s. What is the remainder when 25 is divided by k(-13)?
0
Let l = 3779 - 3128. What is the remainder when l is divided by 55?
46
Let i = -424 - -79. Let m(q) = q**2 - q - 5. Calculate the remainder when (i/20)/((-54)/72) is divided by m(-4).
8
Let u = 7938 - 7860. What is the remainder when 556 is divided by u?
10
Suppose 113*j - 3071 = 124*j - 8406. What is the remainder when j is divided by 240?
5
Let n(p) be the third derivative of -p**4/12 + 13*p**3/2 + 10*p**2. Let d be n(20). Calculate the remainder when 82 is divided by 212/5 + (d - 16/(-10)).
39
Let k = 6134 - 6082. What is the remainder when 1710 is divided by k?
46
Let q = -6482 + 6918. Calculate the remainder when q is divided by 209.
18
Let w = 242 - 240. Suppose 3*a = w*f - 99, 5*f - 3*a - 300 = -6*a. What is the remainder when f is divided by 16?
9
Let i(x) = -9*x**2 - 23*x + 94. Let l be i(5). Let a = l - -331. Calculate the remainder when a is divided by 24.
13
Calculate the remainder when 246 is divided by (78/4)/(-2*8/(-192)).
12
Let j(t) be the first derivative of -2*t**3/3 + 5*t**2 - 3*t + 1. Suppose -43*m + 3 + 169 = 0. What is the remainder when 13 is divided by j(m)?
3
Suppose -154*b = 5*m - 157*b - 85, -2*b - 51 = -3*m. Calculate the remainder when m is divided by (-440)/(-77) + 2/7.
5
Let m(f) = -4*f**2 + 306*f - 143. What is the remainder when 251 is divided by m(76)?
8
Suppose 250*c = 234*c + 6624. Calculate the remainder when c is divided by 16.
14
Let a = 49 + 7. Let o = a - 20. Calculate the remainder when o is divided by 19.
17
Calculate the remainder when ((15180/24)/23)/((-5)/(-70)) is divided by 23.
17
Suppose -46515 = -95*l - 144*l + 10606. Calculate the remainder when l is divided by 228.
11
Let z = -10 + -44. Let j = 61 + z. Suppose -j*i = -2*i + 25, 3*y = 3*i + 39. Calculate the remainder when 35 is divided by y.
3
Suppose -5*g = 5*x - 45, 4*g - 39 = -5*x + g. Let w be 12/(-9)*(-9)/6. Suppose -t = w*t - 9. Calculate the remainder when x is divided by t.
0
Let v(k) be the first derivative of -k**4/4 + 13*k**3/3 + 3*k**2/2 - 33*k - 20. What is the remainder when 95 is divided by v(13)?
5
Suppose -j - 5*o + 2*o = -194, -4*o - 621 = -3*j. Let d = 288 - j. Calculate the remainder when 339 is divided by d.
84
Let q be (-16)/32 + 73/2. Calculate the remainder when 92 is divided by (1696/12)/4 + 24/q.
20
Let h(m) = -2*m**3 + 4*m**2 + 61*m + 212. What is the remainder when 839 is divided by h(-5)?
68
Let u(x) = x**3 + 4*x**2 + 4*x + 5. Let l be u(-4). Let b(r) = -12*r - 38. Let m be b(l). Let a = m - 77. Calculate the remainder when 50 is divided by a.
16
Let z be 4/(-14)*-14 + 0. Suppose z*r - 82 = 3*v + 133, 3*r - 145 = -v. What is the remainder when 195 is divided by r?
45
Let g(k) = -10*k - 5. Let a be g(-10). Let i = 354 - 263. Suppose -i*b + a*b - 448 = 0. Calculate the remainder when b is divided by 38.
36
Let q(v) = 16*v + 5. Let y be q(2). Calculate the remainder when 60 is divided by (y - 38)/(2/(-34)).
9
Suppose -17*z = -9*z - 16. Suppose -3*f - 172 = -5*u, -2*u - z*u = 5*f + 336. Calculate the remainder when 1054/16 - 8/f is divided by 17.
15
Let w = 84 - 74. Suppose 15 = 5*l - w. Suppose -5*s - 280 = -l*j, -5*s = -4*j - 14 + 243. Calculate the remainder when j is divided by 15.
6
Let n(x) = -782*x - 1173. Calculate the remainder when n(-4) is divided by 56.
51
Suppose 0 = -4*f - 2*v - 112, -3*f = f - 4*v + 136. What is the remainder when 670 is divided by 10/(f/(-171)) - 1?
54
What is the remainder when -48 + 57 - (-1216)/2 is divided by 7?
1
Let p(y) = 2*y + 51. Let k be p(-18). Suppose 5*j = 3*x - 76, x - k*j + 19*j = 14. What is the remainder when (-5)/((-15)/(-64))*-3 is divided by x?
20
Suppose -27*m + 120 = -31*m. Let a(z) = 3*z - 4. Calculate the remainder when a(6) is divided by (-2)/(m/(-8) + -4).
6
Suppose 0 = -11*a - 8