at is the remainder when 823 is divided by 7/(-1) - (69 - 93)?
7
Let p(t) = t**3 + 16*t**2 - 5*t - 50. Let r be p(-16). Suppose -r*o + 80 = -160. What is the remainder when o is divided by 7?
1
Let x be 3 + (-3 - -1) - -3402. Let z = 5078 - x. Calculate the remainder when (z/(-100))/(1*1/(-4)) is divided by 36.
31
Suppose 5*u + 17*u + 156 = 25*u. What is the remainder when u is divided by (-1)/((-40)/(-44) + -1)?
8
Let g = -80 + 95. Let o = g + 30. What is the remainder when o is divided by 16?
13
Let m = 28 + 88. What is the remainder when 585 is divided by m?
5
Suppose j = 2*w - 55, 17*j = -5*w + 19*j + 136. Calculate the remainder when 33043 is divided by w.
23
Suppose -f + 57 = -n, -3*f + f = -5*n - 279. Let o = 83 + n. What is the remainder when o is divided by 10?
8
Suppose -40*w + 18904 = 118*w - 19*w. Calculate the remainder when w is divided by 50.
36
Suppose -u = -2*j - 1001, 4*u - 2139 = -2*j + 1885. What is the remainder when u is divided by 42?
39
Let l = -15334 - -15390. Calculate the remainder when 338 is divided by l.
2
Suppose 0 = -122*n + 7313 - 2067. Let y(i) be the second derivative of i**4/4 - i**3/2 + 2*i**2 + 2*i. What is the remainder when n is divided by y(3)?
21
Suppose 0 = 363*q - 367*q + 44. Calculate the remainder when (-8)/(1 + (-7)/5) is divided by q.
9
Let w(u) = -u**3 - 5*u**2 + 6*u. Suppose -l = 4*l + 945. Let r = l + 204. What is the remainder when w(-7) is divided by r?
11
Suppose 3*l + 4*c - 551 = 0, -3*l - 2*l + 870 = -3*c. Calculate the remainder when l is divided by ((-2)/(-5) - (-712)/(-40))/((-1)/5).
3
Suppose -2*q - 95 = -5*p, 5*q + 0*q - 43 = -4*p. Let t = -14725 - -14754. What is the remainder when t is divided by p?
12
Let u be (0/(-4) - -14)/1. Suppose 5*g = u - 9. What is the remainder when 47 is divided by (48/(-9))/((g/(-3))/1)?
15
Let g = 193 - 187. Calculate the remainder when 151 is divided by g/(-3 + (-112)/(-36)).
43
Let u(l) = -15*l. Let h = 676 + -574. Calculate the remainder when h is divided by u(-1).
12
Suppose 45*r - 50*r = -340. Suppose -2*n + 1 = -19. Let s = 29 - n. What is the remainder when r is divided by s?
11
Suppose -g + 2*b + 141 = 0, 5*g + 3*b - 735 = -2*b. Let q = 209 - g. What is the remainder when 444 is divided by q?
60
Suppose 0 = -2*b - 4*t + 10, 2*b = -2*t - 0*t + 10. Suppose b*v + 6*v = 11. What is the remainder when v is divided by 1?
0
Let a = -3537 - -3616. What is the remainder when 17537 is divided by a?
78
Suppose 145*o - 28237 = -61*o - 1251. What is the remainder when o is divided by 54?
23
Let x be (7/(-21)*-6)/(-1). What is the remainder when 250 is divided by 387/12 + -11 - x/(-8)?
19
Let p(b) = -2*b + 1. Let m(j) = -9*j + 85. Let r(i) = m(i) - 6*p(i). Calculate the remainder when 172 is divided by r(5).
78
Let i(o) = o**3 - 2*o**2 - 11*o + 18. Let l be i(5). Suppose -l*y - 28 = -39*y. Calculate the remainder when y is divided by 6.
4
Suppose 0 = 117*m - 116*m - 10. Calculate the remainder when 378 is divided by m.
8
Suppose 0 = 5*q + 3*v - 18697 - 5323, 0 = 2*q + 4*v - 9608. Calculate the remainder when q is divided by 799.
10
Let s(p) = -p**3 - 15*p**2 - 14*p + 10. Suppose 2*x + 2*f = -0*f - 30, -5*f - 19 = x. Calculate the remainder when 203/(-35)*-5 + -10 is divided by s(x).
9
Suppose -407 = 3*i + i - 3*g, 3*i - 5*g = -297. Let h = i + 128. What is the remainder when h is divided by 10?
4
Let k be 24/30 - 1 - 1896/(-5). Suppose n + 3*z = -3*n + 755, 2*n - k = -3*z. Calculate the remainder when n is divided by 2/6 + 160/6.
26
Let d be 0 - ((2 - 0) + 0). Suppose 342*v - 216*v - 3080 = 70. What is the remainder when 65/(-1 - d) - 1 is divided by v?
14
Calculate the remainder when (1*-1)/((-9)/5517) + (-330)/55 is divided by 159.
130
Let h = -19955 + 20024. Calculate the remainder when 1204 is divided by h.
31
Let k be ((-209)/76)/((-3)/12). Suppose 3*w - 112 = -k*w. What is the remainder when 89 is divided by w?
1
Suppose -5*q = -5*b + 30, -b + 4*q - 11 = -4*b. Suppose -2*f = -5*f + 9, 0 = -5*n - b*f + 30. What is the remainder when 58 is divided by n?
1
Let l = 48475 + -48471. Let v be (8/6 - 2)*-3. Calculate the remainder when v/(0 - 2/(-27)) is divided by l.
3
Suppose 4*p = -5*a + 7 + 92, -2*p - 2*a = -52. Calculate the remainder when (-3 - 11/(-2))*1462/43 is divided by p.
23
Let t(q) = -53*q - 951. What is the remainder when t(-19) is divided by 54?
2
Let j(k) = 76*k + 771. What is the remainder when (-12)/42 - (-513)/7 is divided by j(-10)?
7
Let d(a) = a**2 + 27*a + 110. Suppose -4*l + 0*f + 399 = -f, 0 = 2*l + 3*f - 217. What is the remainder when l is divided by d(-4)?
11
Let a = 29308 - 28321. Calculate the remainder when a is divided by 42.
21
Suppose 2*z - 51 = -g + 471, 3*z - 21 = 0. What is the remainder when g is divided by 30?
28
Let z(n) = -n**2 + 93*n - 351. Calculate the remainder when z(67) is divided by 73.
4
Let n = 80 - 40. Suppose -t - 5*b + 166 = 0, -27*t - 5*b = -29*t + 422. Calculate the remainder when t is divided by n.
36
Calculate the remainder when 2920 is divided by (-74 - (-2)/(-1))*(-35)/(-80)*-8.
260
Suppose 183*v + 6*v - 41202 = 0. What is the remainder when v is divided by 23?
11
Suppose -5*i = -4*d - 1660, 0 = 2*i - 7*d + 8*d - 651. Calculate the remainder when i is divided by 76.
24
Let j(l) = 13*l + 5*l**2 + 7*l + 8 - 16*l. Let f(x) = -x + 5. Let g be f(7). Calculate the remainder when j(g) is divided by 6.
2
Suppose 254 + 1055 = 17*w. What is the remainder when 921 is divided by w?
74
Let c(p) = -335*p**3 - 17*p**2 + 334*p**3 - 2 + 2 + 5 + 7*p**2 - 24*p. Calculate the remainder when c(-4) is divided by 1.
0
What is the remainder when 1032 is divided by (-2)/((102/(-18))/(-17)*(-3)/172)?
0
Suppose -41*n + 8825 = -n + 1025. Calculate the remainder when n is divided by 62.
9
What is the remainder when -240*(-23)/((-575)/(-60)) + 6 is divided by 3?
0
Let q be (-1 - (-5)/15)*6. Suppose 5*p - 4*m - 65 = 116, 5*m - 5 = 0. Calculate the remainder when q/18 - (-6560)/36 is divided by p.
34
What is the remainder when 283 is divided by 0 + 7 + (68 - -28)*1?
77
Let w be ((-2)/(-1))/((-2)/(-3)). Suppose 20 = 3*n - 3*c - 97, w*n + 4*c = 96. Let k(x) = 6*x**2 + 6*x - 2. Calculate the remainder when k(5) is divided by n.
34
Let i = 15201 - 14886. Calculate the remainder when i is divided by 100.
15
Suppose -7*o + 963 = 179. Calculate the remainder when (o/168)/((-325)/327 - -1) is divided by 52.
5
Suppose -4*j + 3*h - 20 = -5, 5 = -j + h. Let s be 2/(j - -4)*-160. Calculate the remainder when 36 is divided by (s/28)/(3/(-21)).
16
Let w be 274/6 - (-12)/(-18). Suppose 39*s - 34*s = w. What is the remainder when 43 is divided by 132/(-8)*(-12)/s?
21
Let v = -23 + 12. Let f(p) = p**2 + 6*p - 21. What is the remainder when 114 is divided by f(v)?
12
Calculate the remainder when 634 is divided by (-816)/32*(5 + -11).
22
Suppose 12*l + 2148 = 2856. What is the remainder when 294 is divided by l?
58
Suppose 2*c + 5*j + 1 = 24, 11 = -c + 5*j. Suppose 4*y = -4*t + 8, 2*t - c*y + 1 = -13. Calculate the remainder when 52*-10*t/8 is divided by 17.
14
Suppose -5*d + 2*d + 9 = 0. Let b be 2 - d - (-24)/4. Suppose b*q - 62 - 28 = 0. What is the remainder when 86 is divided by q?
14
Let l(x) = -4*x**3 - 58*x**2 - 43*x - 11. What is the remainder when l(-14) is divided by 24?
7
Let f(z) = -z**2 + 7*z + 57. Calculate the remainder when 76 is divided by f(7).
19
Calculate the remainder when 165 is divided by 3 - 7 - (-79 + 21).
3
Let v(g) be the third derivative of -g**5/60 + 7*g**4/24 - g**3 + 27*g**2. Let c be v(6). What is the remainder when (0 + -5 - -48)/(c + 1) is divided by 23?
20
Let q be (-50)/8*-1 + (-3)/(-4). Suppose 66 = q*v + 24. What is the remainder when (-28)/((-7)/((-14)/(-4))) is divided by v?
2
What is the remainder when 198 is divided by 28/49 + 660/21?
6
Suppose 4445*n = 4437*n + 1448. What is the remainder when 341 is divided by n?
160
Suppose -4*c - 7 = 3*a, -5*a - 2*c + 11 = 4. Let g(z) = -12*z - 4. Calculate the remainder when g(-4) is divided by (a - (-58)/(-4))*-2.
21
Calculate the remainder when 12/(16*15/87600) is divided by 32.
28
Suppose 0 = -222*k - 58*k + 7560. What is the remainder when 4206 is divided by k?
21
Suppose -2*u = -5*p - 193, -2*u = -4*p - 248 + 50. Suppose 5*y - 189 = -4*n - 0*n, -3*y = -2*n - u.