rivative of z**5/30 - z**4/12 - z**3/2 - z**2. Calculate the remainder when l(c) is divided by 42.
39
Calculate the remainder when (-5 - (-1 + 4)) + 314 is divided by 62.
58
Suppose 29*w + 1303 = 21226. Calculate the remainder when w is divided by 226.
9
Suppose -17*c + 8*c + 2592 = 0. Let p = 401 - c. What is the remainder when p is divided by 38?
37
Let a(l) = -l**2 + 43*l + 1300. Calculate the remainder when a(30) is divided by 37.
25
Let r = -2273 - -2491. Calculate the remainder when r is divided by 10.
8
Suppose 907 = w + 93. What is the remainder when w is divided by 21?
16
Suppose 0 = -3*j - 2*a + 1004, 0 = 2*j - 5*a - 281 - 439. Calculate the remainder when 1653 is divided by j.
293
Suppose 98*z = 15*z + 1079. What is the remainder when 2831 is divided by z?
10
Let h = -97 + 99. Suppose -2*k = -h*s + 1 - 15, -2*s + 6 = 2*k. Suppose l + 84 = k*l. Calculate the remainder when l is divided by 8.
5
Suppose 12*j - 54 = 294. Suppose 0 = 3*i + i - 340. What is the remainder when i is divided by (j/2)/(3/6)?
27
Let t = 2178 - 1339. Suppose -p + 119 = 4*u, -2*u + 2*p + 57 = 5. Calculate the remainder when t is divided by u.
27
Let t(o) = -31*o + 189. What is the remainder when 271 is divided by t(5)?
33
Suppose 8*b - 1968 = 3*b + 2*g, -4*g - 7856 = -20*b. What is the remainder when b is divided by 99?
95
Suppose -3*m + 398 = 3*p - 1351, 3*p - 1674 = 12*m. What is the remainder when 617 is divided by p?
39
Let w(q) = q**2 - 5*q - 94. Let z be w(14). Suppose -z*v - 7*v = -9399. Calculate the remainder when v is divided by 11.
10
Let k = 147 - -148. Let z = 311 - k. What is the remainder when z is divided by 15?
1
Suppose 0 = -58*c + 12*c + 8188. Suppose -5*h - 2*z + 72 = -56, -50 = -2*h - 2*z. What is the remainder when c is divided by h?
22
Suppose 1372 = 2*f - 156 + 374. Calculate the remainder when f is divided by 138.
25
Let g(m) = 34*m - 966. What is the remainder when 138 is divided by g(32)?
16
Let g = 236 + -149. Let b(a) = -7*a**3 - 25*a**2 - 34*a - 2. Calculate the remainder when g is divided by b(-2).
21
Let j(s) = -s + 5. Let u(y) = -6*y + 29. Let c(t) = 5*j(t) - u(t). Let w = -2 + 24. Calculate the remainder when w is divided by c(10).
4
Suppose -26 = -8*d - 2. Suppose -5*n = -4*h - 489, h - 6*h - 296 = -d*n. Calculate the remainder when n is divided by 20.
17
Calculate the remainder when (93/(-18))/(1/(-6)) is divided by 7.
3
Let t(k) = -251*k - 3747. What is the remainder when 19115 is divided by t(-15)?
17
Let o(a) = 25*a**2 - 1. Let b(t) = t**3 + 4*t**2 + 7*t + 21. Let p be b(-3). Suppose 19*h = 18*h + p. Calculate the remainder when o(1) is divided by h.
6
Let w(r) = -2*r**2 - 57*r + 424. What is the remainder when w(-24) is divided by 159?
4
Let l(z) = 11*z**2 - 20*z - 25*z + 5*z + 21 - 7 - 3. Calculate the remainder when l(4) is divided by 4.
3
Let u(f) = 5*f + 47. Suppose -25*s + 27*s = 118. Calculate the remainder when s is divided by u(-3).
27
Let d = 173 - 169. Suppose d*j - 3*k = 149 + 20, 0 = -3*j - 5*k + 163. Calculate the remainder when j is divided by 2/6*42 + (2 - 0).
14
Suppose 0 = -4*v + 4*o + 120, -3 - 88 = -3*v + 2*o. Suppose 3*f - 3*a = -f + v, 3*f - 17 = a. Calculate the remainder when -1*(-3 + -3 + -7) is divided by f.
1
What is the remainder when (0 + -4)/44 + (-10538)/(-121) is divided by 7?
3
Let u = 356 + -278. Suppose 24*f - u = -2*f. What is the remainder when 152 is divided by f?
2
Let m(w) be the second derivative of w**5/20 + 5*w**4/12 - 7*w**3/6 - 3*w. Calculate the remainder when (21 + 48/8)/((-3)/((-6)/2)) is divided by m(-6).
3
Let r(q) = -q**3 - q**2 + 9*q + 9. Let n be r(-3). Suppose -13*l + 18*l - 445 = n. What is the remainder when 620 is divided by l?
86
Suppose -87*z + 89*z - 184 = 0. Suppose 35 = 3*f - 2*s - 34, -z = -4*f + 4*s. What is the remainder when f is divided by 16?
7
Suppose t = 4*l - 3*l + 5, -t - 4*l = 5. Suppose t*x + 386 = -4*n, 0*n - 134 = x + 4*n. Let j = 227 + x. Calculate the remainder when j is divided by 34.
33
Let k = -213 + 222. Suppose d = 5*u + 1343, 3*u + 448 = 4*d - 368. Calculate the remainder when 130 is divided by u/(-6) - 6/k.
42
Suppose 3*z - 13*z = -280. Let y(t) = 3*t**2 + 3*t + 10. Let r be (((-10)/25)/1)/((-1)/(-5)). What is the remainder when z is divided by y(r)?
12
Let k be (0 - 4)*(-7)/14. Suppose 0 = -t + k*b + 3*b + 40, 5*t + 5*b = 50. Calculate the remainder when 73 is divided by t.
13
Suppose 0 = 26*q - 30*q, -2*v - 5*q + 49 = -167. Calculate the remainder when v is divided by 55.
53
Let r = -10536 + 10687. Calculate the remainder when 883 is divided by r.
128
Suppose -m + 248 = -5*r, 2*m - 506 + 20 = 5*r. What is the remainder when m is divided by 13?
4
Suppose 0 = 11*b - 6*b - 2*n - 347, -3*n - 3 = 0. Suppose 71*p = b*p - 3*f + 205, -100 = -p + f. What is the remainder when p is divided by 43?
15
Suppose -303571 = -244*p + 794474 + 387427. What is the remainder when p is divided by 58?
56
Suppose 23 = 2*i - 5. Suppose 0 = -15*p + 84 + 81. Suppose -p*x + 8*x + h + 282 = 0, 4*h - 392 = -4*x. What is the remainder when x is divided by i?
11
Let b(t) = -2*t + 17 - 15*t - t**2 - 14*t - 39. Calculate the remainder when 46 is divided by b(-30).
6
Let d be (18/45)/((-6)/15). What is the remainder when (d + 70)/(38 + -37) is divided by 37?
32
Calculate the remainder when 95/(-19) + 17 + 3161 is divided by 113.
9
Let t be (-2)/(-8) - 615/60. Let c be ((-260)/(-15))/(t/15). Calculate the remainder when 1336/104 + 0 + (-4)/c is divided by 7.
6
Let g = 79926 - 79895. What is the remainder when (-483)/(-4) - 2/(-8) is divided by g?
28
Suppose 5558*z + 4096 = 5566*z. Calculate the remainder when z is divided by 5.
2
Let g(w) be the first derivative of -25*w**2 - 90*w - 186. What is the remainder when g(-5) is divided by 28?
20
Let o = 4 + 1. Let a = 268 + -267. What is the remainder when o is divided by a?
0
Suppose -30 = -2*j + 2*y + 22, 4*y - 96 = -4*j. What is the remainder when 114/(-1)*-1 - 2 is divided by j?
12
Calculate the remainder when 78 is divided by (-32)/(-6) + (-352)/264.
2
Let u = -2202 + 2353. What is the remainder when u is divided by 17?
15
Let y(k) = k**3 - 21*k**2 + 8. Let g be y(21). Suppose 6*m + 76 = g*m. What is the remainder when m is divided by 7?
3
What is the remainder when 1233 is divided by 1*(30 - -9) - -12?
9
Let d = -1797 + 1814. What is the remainder when 1154 is divided by d?
15
Suppose 506 = a - 4*y, -y - 470 - 27 = -a. Suppose -6*j - a = 262. What is the remainder when 54 is divided by (-1918)/j - 4/18?
9
What is the remainder when 10/(-16) - (-6)/((-480)/(-111730)) is divided by 6?
4
What is the remainder when 583 is divided by 79/1027 - (-1325)/13?
73
Let m(v) = -226*v**3 - 5*v**2 + 37*v + 41. Calculate the remainder when m(-1) is divided by 76.
73
Suppose 54*o - 356*o + 311060 = 0. What is the remainder when o is divided by 221?
146
What is the remainder when 1404 is divided by (32 - 14)*(7 - 68/12)?
12
Let k = -405 + 420. Let u = k - -59. Calculate the remainder when u is divided by 16.
10
Let l be ((-1276)/2)/(-47 + 45). Let t = l + -309. Calculate the remainder when 59 is divided by t.
9
Suppose 4075 = 5*w - 0*a + 5*a, -w + 2*a = -800. Calculate the remainder when w is divided by 7.
5
Suppose 3 = 5*d + 148. Let u = -15 - d. Let x = -1129 + 1198. What is the remainder when x is divided by u?
13
Suppose -a + c = -5, -2*c - 2*c + 29 = 3*a. Let s = 83 - 30. Calculate the remainder when s/5 - ((-18)/(-5) + -3) is divided by a.
3
Suppose x - 6*x = -170. Suppose -5*c = -5*f - 298 + 663, -3*f + 237 = -5*c. Calculate the remainder when f is divided by x.
30
What is the remainder when 1315 is divided by (2/7)/(108/31752)?
55
Let u be (4 + 11)*(-1)/(-3). Let l be 61 + -3 - (-1 + 5/(-1)). Suppose -d = -u*d + l. Calculate the remainder when d is divided by 9.
7
Let d = 15 + -9. Suppose -4*v + d*v - 6 = 0. Let u(t) = t**2 - 6*t - 13. What is the remainder when u(9) is divided by v?
2
Let t = -759 - -1585. What is the remainder when t is divided by 92?
90
Let a = 6921 - 6868. Calculate the remainder when 1231 is divided by a.
12
Let z(a) = 3*a**2 + 7*a + 5. Calculate the remainder when 3074 is divided by z(4).
77
Let f = 6653 - 6545. Calculate the remainder when 1834 is divided by f.
106
Let a(v) = v + 33. Let k be a(13). Supp