31*x + 30022 - 103742. What is the remainder when 489 is divided by x?
4
Let j = -5193 + 5935. What is the remainder when j is divided by 29?
17
Let a(u) be the first derivative of -25*u**2 - 38*u + 11. What is the remainder when a(-4) is divided by 43?
33
Let t(u) = u**3 - 4*u**2 + 19*u - 136. Calculate the remainder when t(8) is divided by 17.
0
Suppose 4*w + 2*k - 2109 = -3*k, 2*w + 6*k - 1044 = 0. Calculate the remainder when 533 is divided by w.
2
Suppose -4*h - 292 = -4*d, -3*h - 166 = -4*d + 121. Calculate the remainder when d is divided by 25.
18
Suppose -3*q - w + 664 = 0, 885 = 5*q - 4*w - 199. Suppose 0*s = -10*s + q. Calculate the remainder when 108 is divided by s.
20
Suppose 22*j + 3991 = 1153. Calculate the remainder when j/(((-18)/20)/(12/10)) is divided by 18.
10
Let g be (-1)/(-6)*3*-38. Let o = g + 21. Calculate the remainder when ((-9)/(-6))/(o/92) is divided by 18.
15
Suppose -3*q = -2 - 19, -2*h = -q - 183. Suppose -4*y + 198 + 1254 = 0. Calculate the remainder when y is divided by h.
78
Let i(f) = -77*f + 124. Let n be i(9). Let v = 618 + n. What is the remainder when v is divided by 9?
4
Let c(r) = 5*r**3 + 1. Let m be c(1). Suppose 2*y + 13 = -2*l + 81, -2*l + 96 = -5*y. Suppose 0 = 2*i - l - m. Calculate the remainder when 74 is divided by i.
8
Suppose 3*j = -3*q + 156, 0 = 3*j + 4*q + 14 - 172. What is the remainder when 214 is divided by j?
14
Let i(r) = -r + 22. Calculate the remainder when (59 - 57)*(-870)/(-15) is divided by i(0).
6
Suppose 15 = -10*n - 35. What is the remainder when 584 is divided by (-1 - 0)/(n/10) - -37?
38
Let d = 24 - 22. Suppose -d*x + x + 3 = 0. Suppose x = -g + 20. Calculate the remainder when g is divided by 9.
8
Let u(b) = 12*b**3 + b**2 - 3*b + 3. Let n(y) = 18*y**3 - 3*y**2 - 3*y + 2. What is the remainder when n(3) is divided by u(1)?
10
Calculate the remainder when 3 + (-9 - -10) + 133 is divided by 123.
14
Suppose 0 = -2*z + 4*z - 3*k - 3, 2*k = -3*z + 11. Suppose 3*p + 3*a = 6*p - 90, z*p - 5*a = 86. What is the remainder when 286 is divided by p?
30
Let o(g) = 61*g**2 + 13*g + 34. What is the remainder when o(4) is divided by 14?
12
Let l = 570 + -450. Let k = -103 + l. What is the remainder when 218 is divided by k?
14
Suppose 0 = -4*n + 16, -14*n + 15*n = 3*i - 248. Calculate the remainder when 5793 is divided by i.
81
Let d be (48603/(-17))/(4 - 1). Let q = 957 + d. Calculate the remainder when 22 is divided by q.
2
Suppose 3*n = -3*b + 3, -6*b + b = 3*n - 11. Suppose -b*c - 232 = 4*c. Let t = c - -42. What is the remainder when 101 is divided by t?
10
Let v = -4530 + 4825. Calculate the remainder when v is divided by 9.
7
Let q(z) = -4*z. Let s be q(-2). Suppose -4*u - s*h + 6*h = -82, -4*h - 70 = -5*u. Calculate the remainder when 68 is divided by u.
14
Let a(r) be the first derivative of 4*r**2 - 4*r - 20. Let i(o) = 6*o + 3. Calculate the remainder when i(7) is divided by a(2).
9
Suppose -4*l + 4*k = -77 - 163, -2*l + 129 = -5*k. Calculate the remainder when 64 is divided by l.
7
Let k(y) = -4*y - 9*y + 9*y - y - 11*y + 71. Calculate the remainder when k(0) is divided by 26.
19
Calculate the remainder when 55217 is divided by ((-935)/(-231) - 2/42)*(-10)/(-2).
17
Suppose -j + 22*a = 25*a, -2*a + 4 = j. Calculate the remainder when 6970 is divided by j.
10
Suppose -276 = -3*t - 5*j, -3*t - 174 = -5*j - 510. What is the remainder when t is divided by 59?
43
What is the remainder when 164 is divided by -85*(5 + 128/(-20))?
45
Calculate the remainder when 5 + -16 + -5 + 325 is divided by 45.
39
Suppose k - 4*l = 395, -5*k + 760 = -3*k - 2*l. Let v = -356 + k. Calculate the remainder when 169 is divided by v.
17
Calculate the remainder when 3736/28 + (-5 - 576/(-126)) is divided by 4.
1
Let p = -1718 - -2834. Suppose -4*v + p = 5*v. Calculate the remainder when v is divided by 25.
24
Suppose 29*l - 35475 = -14*l. What is the remainder when l is divided by 22?
11
What is the remainder when 503 is divided by (298/(-4))/((26/260)/((-2)/10))?
56
Let x be 4*((-17)/(-4) + -3). Suppose -x*m + 152 = -m. Calculate the remainder when 6 + 3/(-1) + 106 is divided by m.
33
Suppose 6*h = 4*q - 168, -143*q + 147*q - 5*h - 170 = 0. Suppose -2*w - 10 = 0, 0 = 5*p + w - 45 - 245. What is the remainder when p is divided by q?
14
Suppose -3*y + y = -8, 3*n - 3*y + 3 = 0. Let q = 1585 - 1581. Calculate the remainder when q is divided by n.
1
Suppose 13*k = -10*k. Suppose k = -22*s + 879 - 307. Calculate the remainder when 358 is divided by s.
20
Let t be -2 - -2*10/5. Suppose -o - 3*q + 20 = t*q, 5*q = -20. Suppose 5*p - o = p. Calculate the remainder when p is divided by 6.
4
Let x(o) = 40*o - 87. Let n be x(7). Let r = -184 + n. Let p = 57 - 31. Calculate the remainder when p is divided by r.
8
Let y(w) = -15*w + 4*w**2 - w**3 + 3*w - 16 - 9*w**2 - 3*w**2. Suppose -c + 9*j - 5 = 7*j, -4*c - 4*j = 32. What is the remainder when 32 is divided by y(c)?
13
Let x = 3159 + -3056. What is the remainder when x is divided by 39?
25
Suppose -263*c + 261*c = -16. What is the remainder when (-1432)/12*(-18)/c*2 is divided by 45?
42
Let o = -606 + 689. What is the remainder when 351 is divided by o?
19
Suppose -174 = 22*m - 438. What is the remainder when 309 is divided by m?
9
Let y(s) = 18*s - 108. Calculate the remainder when y(10) is divided by (-315)/7*9/(-15).
18
Suppose -34 = -24*t + 62. What is the remainder when 151 is divided by t?
3
Suppose -11*g = -10*g - 2. Suppose -25 = 5*c, 3*f - g*c = -0*f + 61. Calculate the remainder when 77 is divided by f + (1 - (1 + 1)).
13
Let w = 1 + 8. Calculate the remainder when -13 + 3 - 3*-43 is divided by w.
2
Let t(g) = -6*g + 32. Calculate the remainder when 676 is divided by t(-3).
26
Suppose -216 = 2*l - 4*i, 2*i = 5*l + 420 + 104. Let q = l + 126. Suppose -5*t = -5 - 15. What is the remainder when q is divided by t?
2
Let c = 53 - 26. Let s = c + -12. What is the remainder when ((-87)/2)/(6/(-8)) is divided by s?
13
Suppose -12 = 4*r - 8, 4*t - 2*r = 70. Suppose -95 = t*m - 1336. What is the remainder when 107 is divided by m?
34
Let f(z) = -4*z**3 + 2*z**2 + 3*z + 13. Suppose 4*v = u + v - 27, 4*v = -2*u + 4. What is the remainder when f(-3) is divided by u?
10
Let t be (-16 + 6 - -7)/((-1)/33). Let q = t + -94. Suppose 0 = -5*r - 8 + 28. What is the remainder when q is divided by r?
1
Let r(s) be the first derivative of -s**2/2 + s - 15. Let k(o) = 3*o - 26. Let v(m) = -k(m) - 4*r(m). Calculate the remainder when v(0) is divided by 7.
1
Let w be (-948)/(-78) + (-2)/13. Let x = w + 195. What is the remainder when x is divided by 35?
32
Suppose 3*k = -4*c - 466, 0*k = k - 2*c + 152. Calculate the remainder when k/(-6)*(-24)/((-88)/11) is divided by 21.
14
Suppose 6*z = 2*z - 12. Let x(f) = -19*f**2 + 2*f + 2. Let s be x(z). Calculate the remainder when (-87)/116 + s/(-4) is divided by 22.
21
Calculate the remainder when 6038 is divided by 19/(-2)*(506 + -508).
15
Let y(w) = -w**2 + 18*w + 144. Let o be y(-6). Suppose -5*d = -o*d + u - 395, -100 = -d + 4*u. What is the remainder when d is divided by 9?
8
Let o = -56 + 57. Let y be o/(-6) - (-1825)/(-30). Let f = 103 + y. Calculate the remainder when 125 is divided by f.
41
Suppose 0 = -4*b - 2*d + 3*d + 777, b + 5*d = 210. Let o(z) = 300*z - 589. Calculate the remainder when b is divided by o(2).
8
Let s(j) = 345*j**2 - 127*j - 612. What is the remainder when s(-5) is divided by 31?
30
Suppose 4*n - 2*n = -3*n. Suppose n = 2*z + v - 107, 0 = -3*v - 2 - 13. Let r = -28 + z. Calculate the remainder when 83 is divided by r.
27
Suppose 0 = 5*q - 4*a - 31, 19 = 113*q - 110*q - 2*a. Calculate the remainder when 102 is divided by q.
4
Suppose -3*m - 208 = 1004. Let w = m + 412. What is the remainder when 36 is divided by w?
4
Let q(t) = 47*t - 66. Let i be q(-7). Let l = -354 - i. Suppose 2*r = -r + 33. What is the remainder when l is divided by r?
8
Let g be ((-350)/21)/(1/(-33)). Suppose 3*n + 443 = -4*h, 4*n - n = -5*h - g. Let f = -72 - h. What is the remainder when 68 is divided by f?
33
Suppose l = -13 + 197. What is the remainder when l is divided by (-2480)/(-112) + (64/(-7) - -9)?
8
Let t(d) = 89*d + 1369. What is the remainder when 2311 is divided by t(-15)?
33
Suppose 0 = 132*f - 113*f - 95. Calculate