8 = -5*k + 232. Calculate the remainder when 369 is divided by k.
9
Let j = -9 - -9. Suppose j = d - r - 45, 2*d - 6*d = -5*r - 181. Suppose 8*t = -d + 132. Calculate the remainder when 130 is divided by t.
9
Let c(w) = w**3 + 7*w**2 + w + 31. Calculate the remainder when 305 is divided by c(0).
26
Let c = -201 + 334. What is the remainder when 2925 is divided by c?
132
Let g = -12490 + 12495. What is the remainder when 131 is divided by g?
1
Let u be 115/(-35) - (-4)/14. Let r be 267/12 - -1 - u/4. What is the remainder when 82 is divided by (r/2)/3*(-17)/(-4)?
14
Let u(w) = 2*w**3 + 97*w**2 + 52*w + 205. Calculate the remainder when 94 is divided by u(-48).
3
Let s(c) = -c**2 + 128*c - 42. What is the remainder when s(110) is divided by 21?
6
Let p be 3 - ((-342)/27)/(2/30). Suppose -p = j - 569. What is the remainder when j is divided by 54?
52
Let z be (23226/395)/((-1)/(-10)). Let k = 684 - z. Calculate the remainder when k is divided by 14.
12
Let v(g) = -2*g**2 + 38*g - 27. Suppose 3*a - 1312 = -4*r, -2*r - 3*r + 1645 = 5*a. Calculate the remainder when r is divided by v(17).
38
Suppose 41*a - 9 = 38*a. Suppose 4*i = -5*x + 354, a*i - 44 = -41. Suppose -2*j + 2*h + 30 = 0, 3*h + 21 + 0 = j. What is the remainder when x is divided by j?
10
Calculate the remainder when 204 is divided by (-201)/(-12) - (-219)/(-292).
12
Let l(u) = 18*u**2 - 8*u**2 + u**2. What is the remainder when 36 is divided by l(-1)?
3
Let x(i) = i**2 + 13*i + 2. Let d be x(-12). What is the remainder when 140 is divided by (-6453)/(-135) - 2/d?
44
Let c(y) be the third derivative of -29*y**4/8 - 3*y**3/2 + 3*y**2 + 15. What is the remainder when c(-1) is divided by 21?
15
Let n = -240 + 277. Calculate the remainder when n is divided by 1008/70 - (2/(-5))/(-1).
9
Let u be (-161)/(-10) - (351/130)/27. Suppose 2*x - x + 272 = 4*z, 0 = 3*z + 2*x - 204. Suppose 284 = u*a - z. What is the remainder when 39 is divided by a?
17
Let n be 150/7*(7 - 0). Suppose -34*o - 225 = -9*o. What is the remainder when n - (3/o)/((-6)/(-36)) is divided by 17?
16
Let h(u) = 9*u**2 + 6*u - 6. Let y be h(4). Suppose 0 = -166*q + y*q + 132. What is the remainder when 64 is divided by q?
31
Let y = 12 - 3. Suppose -y = -3*i - 0. What is the remainder when (-15)/(-2)*(70/(-245) - 412/(-70)) is divided by i?
0
Let q = -121 - -171. Suppose -d - 5 = -2*f, -5*f + 0*f = 3*d - 18. Suppose -o - 43 = -0*p - 3*p, o = -f*p + 35. Calculate the remainder when q is divided by p.
11
Let n(g) = g**2 + 152*g + 1065. What is the remainder when 275 is divided by n(-7)?
25
Suppose -6*f + 24 - 6 = 0. Calculate the remainder when 16 is divided by f/((-24)/(-16)) - (0 - 0).
0
Let d(y) = -78*y + y**3 + 2*y**2 - 9 + 62*y + 12*y**2 - 1. What is the remainder when 63 is divided by d(-15)?
3
Suppose 0 = -10*l + 11*l - 5. Suppose 0 = v + m + 4*m - 1, 4*m = -4*v - 12. What is the remainder when ((-42)/v)/((-27)/(-72)) is divided by l?
3
Suppose 5*q + 2*z + z = 18, -5 = -2*q + z. Suppose 5*u = -q*g - 52 + 160, 0 = u + 2*g - 16. What is the remainder when 87 is divided by u?
15
Let m = -420 + 406. Let w = m - -159. Calculate the remainder when w is divided by 44.
13
Let m = -5230 + 5539. What is the remainder when m is divided by 76?
5
Let j be 5 + (4/9 - 140/315). Let p(u) = 7*u**2 - 15*u + 16. Calculate the remainder when p(j) is divided by 59.
57
Let z = -32 - 33. Let m be (2 - z) + 36/(-9) + 0. What is the remainder when 165 is divided by m/(-2)*(-52)/39?
39
Suppose 5*m = q - 10 + 4, -5*q + 6 = -m. Let r(d) = -d**2 + 30*d - 43. Calculate the remainder when r(24) is divided by -70*(3/6)/m.
31
Let w = 22 - -12. Suppose 0 = -36*h - 40*h - 34*h + 14190. What is the remainder when h is divided by w?
27
Suppose 3*w + g = -4, -5*g = 561 - 526. What is the remainder when (0 - -5) + 0 + -2 is divided by w?
0
Suppose w = -i + 68, 17*w = 22*w + 35. What is the remainder when 7871 is divided by i?
71
Suppose -199*w = -274*w + 1650. What is the remainder when 653 is divided by w?
15
Let k(p) = -6*p - 7. Let b(g) = -g**3 - 4*g**2 + 3*g - 4. Let r be b(-4). Calculate the remainder when k(r) is divided by 26.
11
Let o(r) be the third derivative of -r**6/120 - 3*r**5/20 + 19*r**4/24 - 3*r**3 - 56*r**2. What is the remainder when 43 is divided by o(-11)?
13
Let q(g) = g**2 + 95*g + 1579. Calculate the remainder when q(0) is divided by 51.
49
Let n = 174 - 176. Calculate the remainder when (12/10)/(n/10) + 24 is divided by 2.
0
Let l be 7 + -1 + (-1)/((-9)/(-27)). Suppose 5*t + 224 = 4*k + 1004, -l*t = 3*k - 468. What is the remainder when t is divided by 54?
48
Suppose 0 = 12*w - 19816 - 28136. Suppose -w = -29*a + 25*a. Calculate the remainder when a is divided by 10.
9
Let c = 9135 - 8941. Calculate the remainder when 199 is divided by c.
5
Suppose 4*c - 1149 = -7*g, -16*g + 21*g - 1455 = -5*c. Calculate the remainder when c is divided by 55.
21
Let c = 8 + 8. Suppose c*r - 208 = 12*r. Suppose -3*q + 29 = -r. What is the remainder when q is divided by 6?
3
Suppose 7*t = 12*t - 200. Let n(p) = -56*p - 81. What is the remainder when n(-5) is divided by t?
39
Let i = -5805 - -5891. Calculate the remainder when 854 is divided by i.
80
Let i = 55 + -33. Let p(f) = f**3 - 16*f**2 + 32*f - 204. Calculate the remainder when p(15) is divided by i.
7
Suppose -122 = 163*n - 165*n + f, -f = 2. What is the remainder when 110 is divided by n?
50
Let f = -604 + 606. Suppose -2*l - 7 = -f*c - l, c = 3*l + 1. Calculate the remainder when 56 is divided by c.
0
Suppose -2*w = -f - 7, 6 = f + 3*w - 12. Suppose -5*o - 33 = -p, 4*o + f + 1 = -2*p. Let l = p - -12. What is the remainder when l is divided by 6?
2
Let d(h) = -h**3 - 4*h**2 + 13*h + 1222. What is the remainder when d(0) is divided by 12?
10
Suppose 3*c - 50 = -4*k + 18, 2*c - 34 = -2*k. Let h(z) = -z**2 + 15*z + 37. Suppose 35 + 53 = 4*r. Calculate the remainder when r is divided by h(k).
1
Suppose 7624 = 116*a + 837*a. Calculate the remainder when 649/7 - (-4)/14 is divided by a.
5
Let u be 6 + 1 - (1 - 44). What is the remainder when 227 is divided by (-10)/u*-20 + (-1 - -54)?
56
Let a be (10/(-7))/(1/(-7)). Suppose -15 = -5*o - 5*m + a, 2*o = 4*m + 4. Suppose o*w - 105 = 75. Calculate the remainder when 87 is divided by w.
42
Suppose 13*f + 5 = 8*f, 29946 = d + 2*f. Calculate the remainder when d is divided by 50.
48
Let p(k) = -2*k - 2. Let l(f) = -28*f - 260. Let g(n) = -l(n) + 5*p(n). What is the remainder when g(-7) is divided by 26?
20
Suppose -7*n + 5 = -527. Suppose 2 - 12 = -5*x. Suppose -5*y - 32 = -o, -3*o - 7*y = -x*y - n. What is the remainder when o is divided by 10?
7
Suppose -87*i + 93*i = 6647 + 6403. What is the remainder when i is divided by 17?
16
Let q(v) = v**2 + 78*v + 2998. What is the remainder when q(-67) is divided by 63?
56
Suppose 4*u = 3*h - 365, -h - 2*h = u - 370. Let z = 4717 + -4662. What is the remainder when h is divided by z?
13
Suppose 1131 + 133 = -8*x. Let s = -138 - x. What is the remainder when 55 is divided by s?
15
Suppose -172 = -3*t + p, -t - p + 30 = -34. Suppose -5*a - 2*g + 161 = 0, 3*g + 4 - 13 = 0. Calculate the remainder when t is divided by a.
28
What is the remainder when (-180000)/(-250) - (5 - (1 + -1)) is divided by 48?
43
Let o be (40 + 0)/4*(-1)/(-5). Suppose -193 = -l + o*z, -l + 55*z = 60*z - 221. What is the remainder when l is divided by 21?
12
Suppose -z = 4*x - 29, 0*z - 5*z = -4*x + 23. Suppose 105 = -0*m + x*m. What is the remainder when 55 is divided by m?
10
Let v be 0 - (3 + (-32)/(-2)). Let t = 50 + v. What is the remainder when t is divided by (-2 - 0)*(-15)/6?
1
Let f(q) = 8*q**2 + 202*q - 1529. Calculate the remainder when f(8) is divided by 15.
14
Suppose 169*i - 105006 = -53*i. Calculate the remainder when i is divided by 157.
2
Calculate the remainder when ((-96)/(-15) - 14/2)/((-3)/1665) is divided by 164.
5
Let i(g) = -5*g**2 + 111*g + 30. What is the remainder when i(11) is divided by 24?
22
Let o(r) = -r**3 - r**2 - r - 1. Let v be o(0). Suppose 5*y + 2*i = 57, 4*y = y - 3*i + 36. Calculate the remainder when 40/(-2)*v/(2/4) is divided by y.
7
Let m = -10934 + 11001. Calculate the remainder when 143 is divided by m.
9
Let z(f) = -f**3 + 4*f**2 + 4*f. Let y(b) = -b**3 - 3*b**2 - 2*b - 3. Let u be y(-3). Let s 