 = -o**3 + 80*o**2 - 158*o + 126. Let g be u(78). What is the remainder when (p/(-10))/((-3)/g) is divided by 20?
14
Suppose -90*y = -77*y + 3172. Let p = y - -274. What is the remainder when 295 is divided by p?
25
Let v = -747 - -2480. Calculate the remainder when v is divided by 51.
50
Suppose -5*x + 60 = -2*x - 5*s, 0 = x + s - 28. Suppose -4*m = -5*g + x, 7*m - 3*m + 5 = g. What is the remainder when (-24)/10*(4 + (-13)/2) is divided by g?
1
Let n = -4231 - -4299. What is the remainder when 745 is divided by n?
65
Let h(x) be the third derivative of x**5/15 - x**4/6 - x**3 - 49*x**2. Calculate the remainder when 81 is divided by h(3).
9
Let a(n) = -n**3 - 3*n + 81. Let i be a(0). Suppose 1011 = 14*u - i. What is the remainder when u is divided by 28?
22
Suppose 17*u - 30 = 12*u. Suppose 0 = -u*n + 3*n - 9. Calculate the remainder when 15 is divided by ((-20)/n)/(4/6).
5
Let j = -126 - -106. What is the remainder when 53 is divided by 32 - (0 + 1 - (j + 17))?
25
Suppose 2*s - 76 = 111*m - 108*m, 3*s + 3*m = 114. Calculate the remainder when s is divided by 11.
5
Suppose 0 = -5*u + r, -2*r - 3*r = 4*u. Suppose 55 = 3*m - 4*x, -4*m + 3*x - 6*x + 65 = u. What is the remainder when (4 + 96)/((-2)/(-3)) is divided by m?
14
Let z(m) = m**2 - 3*m - 9. Let u(b) = 8*b + 5. Let j be u(5). Let l = 51 - j. Calculate the remainder when 30 is divided by z(l).
3
Suppose 0 = -4*g - s + 145, 5*g - 61*s = -64*s + 190. Calculate the remainder when 478 is divided by g.
23
Suppose -4*i - 1836 = -3*t, 5*t - 149*i + 152*i = 3089. Calculate the remainder when t is divided by 125.
116
Suppose -p = -45*w + 43*w + 362, -5*w - 3*p + 938 = 0. What is the remainder when w is divided by 82?
20
Let q(i) = 72*i + 257. What is the remainder when 854 is divided by q(-3)?
34
Suppose 0 = -l - 7 + 9. Let w be (4/l)/(21/462). Suppose -3*o + 276 - w = -2*s, 0 = 2*o + s - 164. What is the remainder when o is divided by 14?
10
Let c = -111607 + 111750. Suppose 54 - 5 = f. What is the remainder when c is divided by f?
45
Suppose 3*w = 17*c - 22*c + 187, 2*c + 4*w = 72. Calculate the remainder when 75 is divided by c.
37
Suppose 186*w - 50*w = 4896. Suppose -352 = -h - 0*h. Suppose -h = -4*k + 216. What is the remainder when k is divided by w?
34
Let c = 53202 + -52545. What is the remainder when c is divided by (-66 + 0)/(3/(-2))?
41
Suppose -4*b + 635 = -7*c, -5*c + 760 = 5*b - 7*c. What is the remainder when 1496 is divided by b?
146
Let r = -46 - -24. What is the remainder when 96 is divided by -3 + ((-46)/4)/(11/r)?
16
Let q(z) = 2*z**3 + 54*z**2 + 177*z - 58. What is the remainder when q(-23) is divided by 60/90 - 1/(-3)*55?
8
Let o be 6 - (4 + 2 + (-12)/2). Suppose o*b = 24 + 6. Calculate the remainder when 48 is divided by b.
3
Let y(r) = -r - 8. Let u = -33 + 24. Let o be y(u). Let m(p) = 26*p**2 - 2*p + 1. Calculate the remainder when 97 is divided by m(o).
22
Suppose 3*d - 176 = 4*t, -32*t + 31*t - 60 = -d. What is the remainder when d is divided by 53?
11
Let i(k) = 85*k**3 + 2*k**2 - 6*k + 5. Let o be i(1). What is the remainder when o/(-6)*(-2 + -2 + 1) is divided by 12?
7
Suppose -2982 = -4*o - 2*s, o - 3*s - 2*s - 751 = 0. Suppose -o + 592 = -7*x. Calculate the remainder when 27 is divided by x.
5
What is the remainder when 1208 is divided by 490/(-140) - 68/(-8)?
3
Suppose -2*v + d + 8 = 0, v + 5*d = -0*v + 4. Let o be (-3 - (-9)/12)*(-56)/42. Calculate the remainder when 38 is divided by ((-1)/(-2))/(o/504*v).
17
Suppose 5*i = -35, -36 = -5*y + 24*i - 21*i. Calculate the remainder when 16 is divided by y.
1
Let o(l) = 140*l**3 + 3*l**2 - l - 2. Let v = -41 + 42. Suppose 3*s = 2*f + 1 - 30, -4*s = -4*f + 56. What is the remainder when o(v) is divided by f?
10
Suppose 4*n - 4*i - 1156 = 0, -3*n + 866 = -i - i. What is the remainder when n is divided by 61?
44
Suppose -30*q + 21297 = -2070 - 10413. Calculate the remainder when q is divided by 103.
96
Let n = -5151 + 5178. Calculate the remainder when n is divided by (0 - 1)*-16 + 0.
11
Let s = 347 - 346. What is the remainder when 717 is divided by s/(-4) - (2754/8)/(-17)?
17
Let f(k) = -189 + 4*k**2 - 25*k - 5*k**2 + 138. What is the remainder when 123 is divided by f(-21)?
24
Let i(g) = 5*g**2 + 6*g - 4. Let l be i(-5). Let t = l - 26. Let n(a) = -2*a**2 - 52*a + 17. Calculate the remainder when t is divided by n(-26).
14
Suppose 21*t = -1698 - 1830. What is the remainder when 388 is divided by 670/12 - 28/t?
52
Suppose 117*y - 119*y = -d + 31, 2*d + 1 = -5*y. What is the remainder when 2930 is divided by d?
6
Let d be -2 + (4 - ((-4)/2)/(-1)). Let a(q) be the second derivative of q**3/3 + 17*q**2/2 - 12*q. Calculate the remainder when a(d) is divided by 6.
5
Calculate the remainder when (-6 - 80706/(-72)) + 4 + 282/(-72) is divided by 71.
50
Let d(h) = 112*h - 1195. Let s(t) be the second derivative of -t**4/12 + 7*t**3/6 + t**2 - 3*t. Calculate the remainder when d(11) is divided by s(6).
5
Let p be -5*((-8)/(-40) + -6). Let u = -6 + p. What is the remainder when u is divided by 23?
0
Suppose 0 = -35*a + 12*a + 14628. Suppose a = -54*c + 58*c. What is the remainder when c is divided by 16?
15
Suppose -m - 3 = 2*u, 3*u - m + 2*m + 3 = 0. Suppose 3*l + 4*z - 20 = u, 3*l - z = 51 - 11. What is the remainder when 66 is divided by l?
6
Suppose -2*p + 10 = p + b, p - 3*b = 10. Suppose -w + p*w - 36 = 0. Suppose 0 = -19*n + 439 + 359. Calculate the remainder when n is divided by w.
6
Let j be ((-2196)/(-30))/(2/(-5)). Let r = 289 + j. Calculate the remainder when r is divided by 19.
11
Let a be (-25)/5 + 1 + 13 + 0. Suppose a*l - 370 = 629. What is the remainder when l is divided by 59?
52
What is the remainder when 142 is divided by ((-12062)/815)/((-4)/10)?
31
Let u = -386 - -390. Suppose 0 = -z - u*o - 9, 11 = -5*z + 6*z - o. What is the remainder when 208 is divided by z?
5
Let o be (10 - 10)/(6 - 3). Suppose o*r = -4*r, -5*r - 22 = -y. What is the remainder when 90 is divided by y?
2
Suppose 6*q = 1 - 19. Let f(k) = -2*k**3 - k**2 - 3*k + 3. Suppose 4*u + 24 = 3*d, -4*d + 4*u + 48 = d. Calculate the remainder when f(q) is divided by d.
9
Let r = -22054 - -22061. What is the remainder when 1859 is divided by r?
4
Suppose -14*y = 3*m - 15*y - 835, -15 = -3*y. Suppose 196 = 14*v - m. What is the remainder when 126 is divided by v?
24
Suppose -7*m + 260 = -125. What is the remainder when 461 is divided by m?
21
Let l(o) = 8*o**2 - 10*o + 6. Let d(n) = 7*n**2 - 9*n + 5. Let c(y) = 7*d(y) - 6*l(y). What is the remainder when ((-196)/3)/(64/(-96)) is divided by c(5)?
8
Let p = -2379 + 2388. What is the remainder when 1059/27 - 8/36 is divided by p?
3
Let r = 17491 + -16411. What is the remainder when r is divided by 182?
170
Suppose -90 = -3*g - 2632*u + 2635*u, 0 = 2*g + 2*u - 36. Let y(d) = 3*d**3 - 6*d**2 + 5*d - 3. Calculate the remainder when y(4) is divided by g.
17
Let r(i) = 5*i**3 - 48*i**2 - i. Let h = -49 + 71. Calculate the remainder when r(10) is divided by h.
14
Suppose 4*w - 100 = -10*t, 16*w = 19*w + t - 36. Let h(u) = -u**2 + 9*u - 6. What is the remainder when h(6) is divided by w?
2
Let r be (-728)/(-196) - 2/(-7). Let u(o) = -o**3 + 4*o**2 + 25*o - 79. Suppose 0*x = 5*x - 395. What is the remainder when x is divided by u(r)?
16
Let v(u) = 6*u**2 + 6*u - 6. Let y be v(6). Let s = -167 + y. What is the remainder when s is divided by 21?
16
Suppose -6*h - 2003 - 1123 = 0. Let f = h + 581. What is the remainder when 659 is divided by f?
59
What is the remainder when 1117 is divided by (3288/(-60))/((2/1)/(-10))?
21
Let n = -308 + 647. Let u = 384 - n. Suppose -j - 2*j = -48. Calculate the remainder when u is divided by j.
13
What is the remainder when 194 is divided by ((-175)/(-140))/(5/6) - (-137)/2?
54
Let g = -89 - 166. Let u = -244 - g. Calculate the remainder when 31 is divided by u.
9
Let u(c) = c**3 + 8*c**2 - 5*c + 24. Let v = 4 + 20. Suppose -23*g = -v*g + 23. Calculate the remainder when u(-8) is divided by g.
18
Let s be 382/(-4) - 1/(-2)*-1. Let j = s - -102. Suppose j*f - 56 - 82 = 0. Calculate the remainder when f is divided by 5.
3
Let i = -7 + 7. Suppose 0 = -i*c - 2*c + 82. Let n = 57 - c. What is the remainder when n is divided by 2?
0
Let i = 107 - 80. Suppose 12*q - i = 9. Calculat