*n**2. What is the remainder when j(1) is divided by 9?
8
Let f(x) = -x**2 - 3*x - 6. Let u be f(-4). Let j(l) = l + 12. Suppose 2 = -5*t + 12. Calculate the remainder when j(u) is divided by t.
0
Let q be 44/20 - (-1)/(-5). Suppose -q*j + 8*j = 132. What is the remainder when 85 is divided by j?
19
Let r = 79 - 65. Let a(q) = 11*q - 6. Let h(x) = -341*x + 187. Let d(u) = 187*a(u) + 6*h(u). Calculate the remainder when d(5) is divided by r.
13
Suppose -7*x + 9*x = -12. What is the remainder when (35 - 2) + 9 + x is divided by 13?
10
Let i = -146 + 150. What is the remainder when 19 is divided by i?
3
Suppose -5*l = 5*z - 225, 0 = 3*l - 8*l - 10. Let j = z - 9. What is the remainder when j is divided by 7?
3
Suppose -15*b + 29*b = 42. Suppose m = -4*i + 85, -4*i - 56 + 143 = b*m. Let t = 16 - 3. What is the remainder when i is divided by t?
8
Let f(o) = 5*o - 20. Let q be f(8). Let h = q - -26. Calculate the remainder when h is divided by 7.
4
Suppose 12*z - 5 = 11*z. Suppose c = -4*a + 4, -a = -z*c - 26 + 4. Calculate the remainder when a/(-3) + (-1120)/(-15) is divided by 25.
24
Suppose 174 = 92*d - 89*d. Calculate the remainder when d is divided by 7.
2
Let b = 29 - 3. Suppose -b*y = -31*y + 60. Suppose 0 = -p + 4*j + y, 2*p - 28 = -3*j + 7*j. What is the remainder when p is divided by 9?
7
Suppose 0 = -3*t - 4 - 2. Calculate the remainder when 77 + -6*(-1)/t is divided by 25.
24
Suppose q = -p + 22, -2*q + 98 = p + 3*p. Calculate the remainder when 52 is divided by p.
25
Suppose -3*q = -o - 160, -4*q - 2*o = -8*q + 210. What is the remainder when q is divided by 14?
13
Let f(g) be the second derivative of 3*g**5/20 + g**4/12 - g**3 - g**2/2 - 10*g. What is the remainder when f(3) is divided by 18?
17
Let y(k) = 5*k + 46. Calculate the remainder when 143 is divided by y(-6).
15
Let y = -195 + 220. What is the remainder when y is divided by (-256)/(-18) - (-2)/(-9)?
11
Let a be 1/((-1)/2 - -1). Suppose -31 = 5*i - 191. Suppose 6*w - 116 = a*w + 5*c, -2*c = -w + i. What is the remainder when 46 is divided by w?
22
Suppose 6*c + 4*g = c - 45, -c = 3*g + 20. Let i = c + 9. Suppose i*u - 42 = u. Calculate the remainder when 54 is divided by u.
12
Let n = 7 + 42. Suppose 9 = -a + n. What is the remainder when a is divided by 14?
12
Suppose -32*a + 15113 = -5655. What is the remainder when a is divided by 7?
5
Let n(a) = -7*a**3 + 3*a**2 + 11*a + 18. What is the remainder when 121 is divided by n(-2)?
57
Let y(s) = -s**2 - 2*s. Let r be y(-3). Let u = r + 6. Suppose 2*d - 234 = 5*t, -u*t - 146 - 439 = -5*d. What is the remainder when d is divided by 30?
27
Suppose 2*p - 5*p + 528 = 0. Let s = 3966 - 3921. What is the remainder when p is divided by s?
41
Suppose 790*c - 787*c = 1176. Calculate the remainder when c is divided by 36.
32
Let j(f) = 13*f**2 - 1. Let m(k) = k**3 - 3*k**2 - 2*k - 7. Let n be m(4). Let z be j(n). What is the remainder when (20/6)/(2/z) is divided by 13?
7
Suppose 4*x + 0 = 28. Let n = x - -8. Suppose -32*f + 1722 = -102. Calculate the remainder when f is divided by n.
12
Suppose f + 3 = 0, 57 = 3*i - 3*f + 4*f. Calculate the remainder when (-5)/(-25) + 1137/15 is divided by i.
16
Let z(h) = -h**3 + 14*h**2 - 39*h + 6. Let q(s) = s**2 - 6*s - 1. Let m be q(5). What is the remainder when (-1)/(-3) + (-280)/m is divided by z(10)?
15
Suppose -5*l = 5*b - 35, 2*b - 4*b = 5*l - 23. Let p = 332 - 188. Suppose b*t - p = 4*j, -5*t + t + 179 = 3*j. Calculate the remainder when t is divided by 14.
13
Let v(u) = -u**2 + 13*u + 2. Let s be v(13). Suppose -g + 120 = s*g. What is the remainder when g is divided by 21?
19
Let o(f) = 31*f**2 + 2*f - 9. What is the remainder when o(-2) is divided by 19?
16
Let g be (20 + -1)/(-3*(-2)/30). Suppose g = 16*o - 11*o. Calculate the remainder when (1 - 2)*(-38 + 1) is divided by o.
18
Suppose -1 = -2*f - 3*u + 18, -4*u - 12 = -2*f. What is the remainder when 52 is divided by f?
4
Suppose -5*q = -2*s + 1 + 26, 3*q + 18 = 3*s. Calculate the remainder when 476/10 + (-2)/q is divided by 18.
12
Let s(z) = 2*z**2 + 16*z - 331. Let v(l) = -2*l - 6. What is the remainder when s(10) is divided by v(-6)?
5
Let l(d) = -d + 19. Let t be l(-13). Let f = -9 + t. Let w(b) = b**3 + 8*b**2 - 9*b + 13. Calculate the remainder when f is divided by w(-9).
10
Let x be 3*(-4)/3 - -3. Calculate the remainder when (-216)/(-3) + x + 0 is divided by 19.
14
Let o = 12 - -38. Let s = o + -24. Let y(b) = -20*b - 23. Calculate the remainder when y(-5) is divided by s.
25
Let j = -59 + 38. What is the remainder when (j/(-6))/(2/44) is divided by 16?
13
Suppose -1274 = -p - 2*v + 232, -6013 = -4*p + 3*v. Calculate the remainder when p is divided by 13.
9
Suppose -57 = -2*k - 5. Suppose -9 = b - 13. Suppose -b*o = 2*o - 54. What is the remainder when k is divided by o?
8
Suppose 0 = -3*f - 68 + 854. What is the remainder when f is divided by 66?
64
Suppose 3*j + 6*r = 3*r + 24, -j = 3*r - 14. Suppose -j*f - 4*b = 689, f + 0*b = 2*b - 149. Let t = f - -208. Calculate the remainder when t is divided by 14.
11
Let v = -58 - -65. Let s(r) = r**3 - 9*r**2 + 15*r + 7. Calculate the remainder when 53 is divided by s(v).
11
Let s be 0/(-1) - (-14)/7. Calculate the remainder when 23 is divided by (-12)/(-3 - (-4 + s)).
11
Let c = -196 - -136. Let w = c + 83. What is the remainder when w is divided by 14?
9
Suppose -420 + 347 = -m. Calculate the remainder when m is divided by 68.
5
Let a(y) = -y + 14. Let j be (1 + 4)/(-2 + 3). Let m be a(j). Suppose 0 = m*u - u - 208. What is the remainder when u is divided by 7?
5
Suppose -4*y - 16 = 0, 0*d = 5*d + 3*y - 723. Calculate the remainder when d is divided by 58.
31
Let j(w) = 12*w - 3. Let z(i) = i**2 + i + 1. Let g be z(-2). Let p be j(g). Suppose 0 = -3*f + p + 30. Calculate the remainder when 81 is divided by f.
18
Let t = -595 + 625. Calculate the remainder when 59 is divided by t.
29
Suppose -5*u + 301 = x, -u = -3*x + 521 + 446. Calculate the remainder when x is divided by 23.
22
Let t(y) = -5*y + 4*y - 2*y + 12 + 2*y. Let p be t(9). What is the remainder when 35 is divided by (-8)/(-12) + 37/p?
9
Let s = -25 - -34. Let r(n) = -n - n + 9 + 4*n + n. Calculate the remainder when r(8) is divided by s.
6
Suppose 9 - 87 = -3*k. Calculate the remainder when 129 is divided by k.
25
Let m(s) = -47*s - 29. Calculate the remainder when 27 is divided by m(-1).
9
Let g(c) = -c**2 - 4*c. Let x be g(-3). Let v = x - 0. Suppose -k + v*n + 25 = 0, 0*k - 78 = -4*k + n. Calculate the remainder when k is divided by 11.
8
Let v(p) = 24*p + 92. Calculate the remainder when v(0) is divided by 16.
12
Let k be 5 + -1 - (-2 + -1). Suppose -k = -2*c + 3. Suppose 54 = c*i - 3*i. Calculate the remainder when i is divided by 7.
6
Suppose -a + 38 + 39 = 0. Suppose -5*j = -3*r - 209, j - a = -j - r. Calculate the remainder when 117 is divided by j.
37
Suppose -35*w + 301 = -28*w. What is the remainder when 557 is divided by w?
41
Suppose -59*f + 130 = -46*f. Suppose 0 = -z + 12 + 7. What is the remainder when z is divided by f?
9
What is the remainder when (-11556)/(-10) - 10*18/(-450) is divided by 89?
88
Let y = 5 + -4. Suppose -2 = 3*n - 8. What is the remainder when n is divided by y?
0
Suppose -4*q + 5*h = 259, -4*q - 7*h = -3*h + 268. Calculate the remainder when ((-9)/27)/(2/q) is divided by 7.
4
Let t = 33 + -30. Suppose t*x = -3*u + 87, 0 = 4*u + x - 5*x - 100. Calculate the remainder when 51 is divided by u.
24
Suppose -5*f - m = -424, 4*f - 2*m - 236 = 92. Suppose 4*p = 4 + f. Calculate the remainder when 80 is divided by p.
14
Let n(a) be the third derivative of a**6/120 - a**5/10 + a**4/12 - a**3 + 13*a**2. What is the remainder when n(7) is divided by 20?
17
Let z be (-4)/(-6) + 28/12. Suppose 3*y - 3*w - 7 = -22, 9 = 3*y + z*w. What is the remainder when 17 + y - (-6)/(-2) is divided by 7?
6
Suppose 292 + 4 = 4*a. What is the remainder when 813 is divided by a?
73
Suppose -13*y + 28 + 232 = 0. What is the remainder when 1799 is divided by y?
19
Suppose 4*l - 844 + 732 = 0. What is the remainder when 122 is divided by l?
10
Let r(o) = -o**3 + 6*o**2 - 2*o - 24. What is the remainder when r(-5) is divided by 87?
0
Let u(l) = 23*l + 1. Suppose -3*w = -4*w + 3, -4*i - 7 = -w. Let c be u(i). Let v = -