 by k.
47
Suppose 6*s - 2*s = 5*g + 8, -3*s = -4*g - 6. Suppose 6*c - 165 - 291 = g. Calculate the remainder when c is divided by 11.
10
Let x(l) = -3*l - 29. Suppose p - 5*a = 44, 5*p - a - 108 = 64. Let u = p + -20. What is the remainder when u is divided by x(-11)?
2
Let p(i) = 2*i - 3. Suppose -55*a = 302 - 962. Calculate the remainder when a is divided by p(3).
0
Let h(z) = -35*z**3 - 9*z - 8. What is the remainder when 250 is divided by h(-1)?
34
What is the remainder when 2/(12/(-344)*10/(-90)) is divided by 140?
96
Let n(z) = -6*z - 95. Let r = -185 + 165. What is the remainder when 124 is divided by n(r)?
24
Let h be -27*((-5)/(-1))/(-5). Let m(s) = -s**3 - 2*s**2 + 13*s + 10. Let x be m(-5). Let l = h - x. Calculate the remainder when 27 is divided by l.
6
Let s(y) = -y**2 + 115*y + 255. Calculate the remainder when s(102) is divided by 12.
9
Let s be (18/(-10) + 2 - -1)*-5. What is the remainder when (40/s)/(14/(-126)) is divided by 47?
13
Suppose -3*y - 3*z = -114 + 108, -3*y + 3*z + 48 = 0. Calculate the remainder when 243 is divided by y.
0
Let h(k) = -k**3 - 30*k**2 - 30*k - 24. Let o be h(-29). Suppose o*r - 5*p - 925 = 0, -2*p - 940 = -r - 4*r. What is the remainder when r is divided by 32?
30
Let o = 187 + -163. What is the remainder when 1212/9 + 2/6*-2 is divided by o?
14
Suppose -2*q = 4*j - 28, -2*q + 41 = 2*q + 3*j. Suppose -4*z = 12 + q. What is the remainder when ((-96)/(-9))/(z/(-90)) is divided by 39?
36
Calculate the remainder when ((-8283)/(-7) - -2) + (14 - 1400/98) is divided by 241.
221
Let v(t) = -6*t + 26. Suppose -p - l - l = -10, -p = -2*l + 10. Let f(s) = s + 7. What is the remainder when v(0) is divided by f(p)?
5
Let f = 47 + -12. Let d be (-5)/3*6*(-35)/10. Suppose 5*o = -5*x + 25, 3*o = 3*x + d + 4. What is the remainder when f is divided by o?
8
Let m be 8/20 - (-16)/10. Suppose -m*f + 448 = -654. Let l = 795 - f. What is the remainder when l is divided by 49?
48
Suppose -5*h + 2*i = -258, -4*i + 67 = 103. Calculate the remainder when 11705 is divided by h.
41
What is the remainder when -7 + 117/9 + -16 + 10404 is divided by 200?
194
Suppose -277*y = -251*y - 546. Calculate the remainder when 96 is divided by y.
12
Let w(c) = c**3 + 2*c + 28. Let g = -21 - -21. Suppose g*z = z + 2*d + 2, -2*z = -4*d - 4. What is the remainder when w(z) is divided by 16?
12
Let p = -780 - -797. Suppose 5*j = p*j - 1920. Calculate the remainder when j is divided by 12.
4
Let y = -512 - -527. What is the remainder when 34 is divided by y?
4
Let y(i) = i**2 - 7*i - 54. Suppose d = 2, 4*z - 2*d + 24 = -8. What is the remainder when 87 is divided by y(z)?
43
Let j(l) = 52*l**3 - 5*l**2 - 2*l + 19. Let h be j(3). Suppose 151 - h = -11*b. Calculate the remainder when b is divided by 57.
54
Suppose 23*o = 4*z + 25*o - 90, -4*o - 120 = -4*z. Suppose 9*d + 89 - 908 = 0. Calculate the remainder when d is divided by z.
16
Suppose 2*a + 3*a - 20 = 0. Suppose 2*z + 236 = a*z. What is the remainder when z is divided by (4 - 35)*(-2)/2?
25
Suppose -o - 12 = 2*t + t, 0 = -5*o - t - 46. What is the remainder when 55 is divided by (-26)/(-9) + -3 + (-91)/o?
5
Let s(j) = j**3 + 2*j**2 + 5*j + 25. Let x be s(-7). Let o = -144 - x. Calculate the remainder when o is divided by 33.
12
Let n(i) = i**3 - 23*i**2 - 2*i + 5. Let r be n(23). Let f = 44 + r. Let k = 6 - 3. Calculate the remainder when f is divided by k.
0
Suppose -86*n - 87*n + 156520 = -33*n. What is the remainder when n is divided by 559?
0
Suppose -4492*u = -4445*u - 11045. What is the remainder when u is divided by 36?
19
Let w(c) = c**3 + 7*c**2 - 1. Let i be w(-7). Let t(f) = 26*f**2 - 7*f - 7. Calculate the remainder when t(-1) is divided by (5/(-4))/(i/4).
1
Suppose 58 = -4*h + 9*h - 2*u, -3*h + 2*u = -38. Let r be 1 + 16/4 + -3. Suppose h = -5*b, -r*b + b = 4*d - 122. What is the remainder when d is divided by 16?
15
Let c(g) = 3*g**2 - 3*g + 2. What is the remainder when c(-4) is divided by (4*(-5)/(-10) + -6 - -36) + 0?
30
Let u be 122*(-1*1)/((-3)/(-6)). Let f = -150 - u. Let d = f - 79. Calculate the remainder when d is divided by 8.
7
What is the remainder when 1/(-1) - (2 - (11 - 5)) is divided by 0 + 0 + (-2 - -5)?
0
Let d = 6874 - 6694. Calculate the remainder when d is divided by 162.
18
Suppose -11 = -2*a - 7. Suppose -1 - a = y. Let k(w) = 4*w**2 - w - 1. Calculate the remainder when 110 is divided by k(y).
34
Let c = -53 - -84. Let q = -1614 + 1766. Calculate the remainder when q is divided by c.
28
Suppose -124 = -40*f + 9*f. Suppose -4*v - 55 = -3*u - 181, v - f*u = 25. Let i(q) = -21*q - 1. Calculate the remainder when i(-3) is divided by v.
29
Let o = 22 + -14. Let b(l) = 2*l - 155. Let t be b(-7). Let f = t - -182. Calculate the remainder when f is divided by o.
5
Suppose 5*s - 1688 = 87. Suppose -4*j + 473 = -s. Suppose -1158*p + 193*p - 312*p = 418*p - 88140. What is the remainder when j is divided by p?
51
Let z(h) = 20*h - 6. Let r be (96/(-80))/((-3)/85). Suppose -r*g + 1575 = g. What is the remainder when z(7) is divided by g?
44
Let o = 6744 - 6723. Calculate the remainder when 6341 is divided by o.
20
Let y(z) = -14*z + 21*z - 5*z + 168. Let b be y(0). Suppose k - b - 82 = -3*u, 3*k - 3 = 0. What is the remainder when u is divided by 28?
27
Let a(l) = l**3 - 3*l**2 - 2*l - 1. Let q be a(4). Suppose 7*n = -q + 350. What is the remainder when 142 is divided by n?
44
Calculate the remainder when 166 is divided by ((-6)/5)/(97/50 + -2).
6
Suppose y - 12 + 3 = 0. Let s = 9 + -6. Suppose 4*j = 5*p + 34, j + 2*p = 5 - s. What is the remainder when y is divided by j?
3
Let l = -304 - -310. Calculate the remainder when 251 is divided by 7 - (((-50)/(-5) - l) + -4).
6
Let k = -30 - -32. Suppose -5*s = 0, -3*u - 4*s = -k*s - 48. Let p = u + 28. Calculate the remainder when p is divided by 15.
14
Suppose 2*k = 0, 4*i - 15 = 4*k + 5. Suppose 5*t - 340 = -i*t. What is the remainder when 40 is divided by t?
6
Let p(t) be the first derivative of 23*t - 9. Let x(a) = a - 1. Let i(f) = p(f) - x(f). Calculate the remainder when i(7) is divided by 10.
7
Suppose -2*d = -5*d + 5*d - 104. Calculate the remainder when 135 is divided by d.
31
Let z = 68 + -62. Let g be ((-84)/16)/(2/(-8)). Suppose z*n - 171 = -g. Calculate the remainder when 96 is divided by n.
21
Suppose 6*c - 38 = 4*c. Let s = 1219 - 1208. What is the remainder when c is divided by s?
8
What is the remainder when (15 - 2 - 7) + 3336/(-7 - -10) is divided by 17?
13
What is the remainder when (6 + 350/(-28))*-120 is divided by 28?
24
Let u be 1/3 - 17/(-3). Suppose -168*b = -177*b. Suppose 2*n + n - u = b. Calculate the remainder when 7 is divided by n.
1
What is the remainder when (180/90)/(2/5702) is divided by 92?
90
Suppose 0 = 3*t + 8*y - 3*y + 353, 0 = 4*t + 4*y + 460. Let b = -93 - t. Calculate the remainder when 67 is divided by b.
13
Let a be 19 - 4/(3 + 1). Suppose 0 = -11*o + a*o - 154. Calculate the remainder when 148 is divided by o.
16
Let m(r) = -11*r**2 - 17*r - 16. Let s be m(-4). Let t = 143 + s. Calculate the remainder when t is divided by 10.
9
Suppose -12*d + 6451 - 5383 = 0. Calculate the remainder when d is divided by 13.
11
Let d = 1082 + -384. What is the remainder when d is divided by 42?
26
Suppose 2*j - 5*q = -0*j + 37, 5*q + 25 = 0. Calculate the remainder when 6252/7294 + 2581/35 + 2/5 is divided by j.
3
Let g(w) = w**2 - 5*w + 5. Let p(c) = -2*c + 62. Let m be (-135)/(-10) + 2 + (-12)/8. What is the remainder when p(m) is divided by g(7)?
15
Suppose -3*d = 2*n - 456, -160 = -4*d + n + 459. Calculate the remainder when d is divided by 12 + (17 - (-4096)/80) + 12/(-10).
75
Suppose -q - 337 = -4*t, 4*q - 182 = -495*t + 493*t. What is the remainder when 1442 is divided by t?
82
Let a(q) = -199*q - 1590. What is the remainder when 245 is divided by a(-8)?
1
Let d be (-72)/(1 + 3)*(-24)/(-9). Let n be d/(-27) - 8/(-36). Suppose -x - o = 3*x - 4, n = 5*x + 2*o. What is the remainder when x is divided by 1?
0
Let t(u) = u**2 - 9*u - 11. Let c be t(10). Let j be c/4 - (-870)/24. Let b = j + -17. Calculate the remainder when b is divided by 9.
1
Suppose 0 = -10*z + 8*z + 3*f + 263, -5*z + 4*f + 647 = 0. Calculate the remainder when z is divided by 39.
10
Suppose -b - 3*h + 2068 = 0