= -r + 4*m + 23, 4*r - 7*m + 6*m - n = 0. What is the remainder when r is divided by 6?
5
Let q(y) = y**3 - 16*y + 2. Let d be q(4). Suppose -d*u - 141 = -39. Let r = u - -65. What is the remainder when 151 is divided by r?
11
Let b = -8025 + 8131. Calculate the remainder when b is divided by 59.
47
Suppose 0 = 2*v - v - 2, -4*x + 4*v - 1280 = 0. What is the remainder when 167 is divided by 1/11 - x/11?
22
Suppose 32*o + 1394 + 102 = 49*o. What is the remainder when o is divided by 70?
18
Let c = 1902 + 1621. What is the remainder when c is divided by 168?
163
Suppose -306*t = 8*t + 21*t - 3015. What is the remainder when 235 is divided by t?
1
Suppose 2*n = -4*k + 52, -2*k = 4*n - 3*k - 68. Calculate the remainder when 680 is divided by n.
14
Let a(n) = n**2 - 27*n - 57. Let d be (-4)/(-8) + (126/4 - 1). Calculate the remainder when a(d) is divided by 22.
1
Let m = -26537 + 26571. Let p = -53 - -117. Calculate the remainder when p is divided by m.
30
Let s(u) = -2*u**2 + 45*u + 1101. What is the remainder when 398 is divided by s(37)?
6
Let u be 53 - (2 - 1)*3. Let w = -4 + u. What is the remainder when 132 is divided by w?
40
Let c be ((-7)/(-7))/(729/363 + -2). Suppose 2*o = -5*q + 292, 2*q + 10*o - 5*o = c. What is the remainder when 215 is divided by q?
41
Let y(w) = 192*w - 1. Suppose -39692 - 11429 = -436*p - 9265. Calculate the remainder when y(1) is divided by p.
95
Let t(h) = 936*h - 3324. Calculate the remainder when t(5) is divided by 136.
132
Let n = -209 - -220. What is the remainder when (0 - -4)/(3/72) is divided by n?
8
Let s = 2 - 2. Suppose -4*h + 144 = -s*h. Let q = -25479 - -25621. Calculate the remainder when q is divided by h.
34
Suppose 4*o - 3*o - 13 = -5*y, 4*y = -3*o + 17. Suppose -y*i + 10*i = -504. What is the remainder when 67 is divided by 48/28*(i/(-6) + 0)?
13
Let k(a) = 76*a - 5. Let t be k(2). Let w = t - 75. Suppose 5*y = 5*g + 70, 2*g = -2*y + y + 29. Calculate the remainder when w is divided by y.
15
Let b(a) = -492*a**3 - 3*a**2 - 3*a - 1. Let n be ((-8)/4 + 1)*(-2 + 3). Calculate the remainder when b(n) is divided by 41.
40
Let n(y) = -y**3 + 12*y**2 - 12*y - 24. Let x be n(10). Let g = x + -32. Suppose -3*i + 4*i = 141. Calculate the remainder when i is divided by g.
21
Let d = -22614 + 22730. What is the remainder when 2191 is divided by d?
103
Let d(n) = 25*n**2 - 5*n - 2. Let x be d(-5). Suppose -x = -5*w + 137. What is the remainder when w is divided by 84?
73
Let z(g) = -g**2 + 8*g - 3. Let b = 623 - 589. Calculate the remainder when b is divided by z(6).
7
Suppose 0 = 2*g - q - 549, -5*g - 14*q + 1395 = -12*q. Let j = g - 193. Calculate the remainder when j is divided by 19.
8
Suppose 51*t - 2325 + 3427 = 28438. Calculate the remainder when 2180 is divided by t.
36
Let b = -190 - -620. Calculate the remainder when b is divided by 18.
16
Let l = -116 - -201. Let j(v) = -2*v**3 - 3*v**2 - 7*v - 13. What is the remainder when l is divided by j(-3)?
15
Let z be (-5)/(5/(-4))*(0 + 1). Suppose -3*d = -l + 2*d - z, 3*l = -3*d + 24. What is the remainder when 64 is divided by (28/l + -2)*(-408)/(-32)?
30
Let q(d) = -d**3 + 11*d**2 + 29*d - 33. What is the remainder when 316 is divided by q(11)?
30
Suppose 18*j - 772 = -124. Suppose -10*z + 379 = 249. Calculate the remainder when j is divided by z.
10
What is the remainder when 449 is divided by 59502/517 + (-2)/22?
104
Let t(p) = 16*p - 31. Let a(k) be the first derivative of -8*k**4 + 2*k**3/3 + 5*k**2/2 + 4*k - 24. Calculate the remainder when t(8) is divided by a(-1).
31
Suppose 5*p = 5*j + 470, -11*p - 5*j - 278 = -14*p. Suppose 5*a + 3*h + 274 = 754, a = h + p. What is the remainder when a is divided by 35?
26
Suppose 3*u - 3*i + 7*i - 43 = 0, -5*u + 83 = i. What is the remainder when 58 is divided by u?
7
Let x = -143 + 222. Suppose -k - x = -5*s + 171, -2*s + 100 = -5*k. Let d = -64 + 261. Calculate the remainder when d is divided by s.
47
Let x = 11 + -11. Suppose 0*p = 3*p - 84. Suppose -t = -x*t - p. What is the remainder when 110 is divided by t?
26
Let n(s) = s**2 - 61*s - 242. What is the remainder when n(65) is divided by 12?
6
Suppose -3*y - 393 = -3*h, 272 = 2*h + 4*y - y. What is the remainder when 1345 is divided by h?
15
Let c(d) = -d**3 - 4*d**2 + 10*d - 7. Let s be c(-5). Let y = 45 + s. Suppose -34*m - 1 = -33*m, 103 = 2*k - m. What is the remainder when k is divided by y?
12
Let b(w) = -37*w + 1121. What is the remainder when 75 is divided by b(30)?
9
Let h(w) = 3*w**3 - 3*w**2 - 15*w + 46. Suppose -12 = 59*l - 62*l. Calculate the remainder when h(l) is divided by 36.
22
Suppose 0 = -4*l - 4*q + 1348, 2*l - 558 = 5*q + 151. What is the remainder when 1737 is divided by l?
27
What is the remainder when 1032 is divided by (-638592)/(-4992) + ((-17)/(-52) - (-3)/(-12))?
8
Let t be (-2)/3 - -2*2/(-3). Let s be t*(-12)/(-16)*-24. Let v = s - 22. What is the remainder when v is divided by 9?
5
Suppose 276*m - 5108 + 301 = 9545. Suppose 5*t - 94 - 936 = 0. Calculate the remainder when t is divided by m.
50
Suppose 13*w - 1 = 14*w. Let c(l) = -l**3 - 2*l**2 + 6*l + 10. What is the remainder when (-4)/w - 29*-1 is divided by c(-4)?
15
Suppose 0 = 16*m - 41*m - 66 + 441. What is the remainder when -14*(-1 - (-63)/(-6)) is divided by m?
11
Let h = -143 - -173. Suppose -2*y = 2*l - 574, -25*y - 10 = -h*y. What is the remainder when l is divided by 41?
39
Suppose -52*t + 56*t = -420. What is the remainder when (-15)/t - (-125)/7 is divided by 4/14 + (-130)/(-35)?
2
Let v(m) = -4*m**3 - 2*m**2 - 2*m - 1. Let s be (1 - -3 - -4)*1. Suppose 5*a + 4*c - 27 = 28, -4*c = -4*a + s. What is the remainder when a is divided by v(-1)?
1
Let t = -4825 - -9848. Calculate the remainder when t is divided by 10.
3
Let o(x) = 2*x + 235. Let v be o(0). Let d = v + -761. Calculate the remainder when d/(-8) - 2/(-8) is divided by 17.
15
Suppose -6 = -5*h - 4*d, -3*h = -6*h + 4*d - 22. Suppose 97*r - 94*r - 66 = 0. What is the remainder when r/(-44)*1*17*h is divided by 2?
1
Let k = 4496 + -4185. Calculate the remainder when k is divided by 25.
11
Let l(k) = -41*k - 151. What is the remainder when 1532 is divided by l(-6)?
12
Let a be (-2)/(1/(0 + -1)). Let t = -4080 - -4085. Suppose -5*x = -t*y - a*x + 75, y + 4*x + 8 = 0. What is the remainder when 83 is divided by y?
11
Suppose 1442*j - 1445*j - a = -396, 0 = 5*a - 45. What is the remainder when j is divided by (-1 - -2)*11/1?
8
Let z(u) = -2*u**3 + 65*u**2 - 410*u + 58. Suppose -15 = -9*q + 4*q. Calculate the remainder when z(24) is divided by q.
1
Let v(w) = -2*w**2 - 36*w + 14. Suppose -q = -3*l + 4*q - 58, 2*l + q = -30. Calculate the remainder when v(l) is divided by 8.
6
Let z(h) = 3*h**3 + 8*h - 1. Let i = 199 + -193. Calculate the remainder when z(i) is divided by 41.
39
Let f = 41 + -25. Suppose -c + f = 3*c + 3*g, 20 = 5*c - 5*g. Suppose -o + 43 = 3*h - 30, -c*h + 94 = 3*o. What is the remainder when 97 is divided by h?
22
Let z = 104 - 95. Let c(y) = -y**2 + 10*y + 14. Calculate the remainder when c(z) is divided by 7.
2
Let c(b) = b**2 - 14*b + 14. Suppose -193 = -68*g + 67*g. Let f = -97 + g. Calculate the remainder when f is divided by c(14).
12
Suppose -8*z - 10*z = -216. Calculate the remainder when 2277 is divided by z.
9
Suppose -5*a + 21*w + 171 = 17*w, -140 = -4*a + 4*w. Let t(z) = -z**3 + 4*z**2 + 4*z. Calculate the remainder when a is divided by t(4).
15
Let w(a) = -a**3 + 94*a**2 - 2*a + 232. Suppose -431 = 5*r - 2186. What is the remainder when r is divided by w(94)?
43
Suppose 13 = w + 11. Suppose -6 = -v + m + 2*m, 0 = -v + w*m + 5. Suppose c + 5 = 0, -2*c - 59 = -v*f - 10. What is the remainder when 34 is divided by f?
8
Suppose -19*y - 4*y - 874 = 0. Let g = -6 - y. Calculate the remainder when 159 is divided by g.
31
Suppose 7*o + 54 = -44. Let s = 40 + o. Let y(u) = -93*u**3 + 11*u + 9. Calculate the remainder when y(-1) is divided by s.
13
Let r = 3258 + -3206. Calculate the remainder when 287 is divided by r.
27
Let b(r) be the first derivative of 2*r**3/3 + 25*r**2/2 - 27*r + 172. Let o = 26 + -13. What is the remainder when b(-15) is divided by o?
9
Suppose t + 3*m = 38, 1815*t - 1820*t - 4*m + 168 = 0. What is the remainder when (2 + -1)*-1 + 99 is divided by t?
2
Let c = 43