= 650, -74*a = k - 75*a - 133. What is the remainder when k is divided by 31?
4
Suppose -168 = 40*i - 44*i. Calculate the remainder when 47 is divided by i.
5
Suppose 4*k = -2*s - 2, -3*k - 33 = -4*s - 4. Let g(u) = s*u**2 - u + 0*u - 2 + 0 + 3. Calculate the remainder when g(1) is divided by 5.
0
Calculate the remainder when (280/(-30))/(10/(-15)) is divided by 3.
2
Suppose 0 = 5*b - 3*i - 5, 5*b + 0*b = -4*i + 40. Suppose 4*w + 12 = 2*t, 3*t + 0 = -b*w - 12. What is the remainder when 34 is divided by 45/10*(t - -2)?
7
Let l = 2 - -21. Suppose -b - u = -18, -b + l - 7 = 2*u. Suppose 0 = -3*f + 51 + 66. What is the remainder when f is divided by b?
19
Suppose -698*l + 700*l - 3918 = 0. Calculate the remainder when l is divided by 37.
35
Let r(k) = -k**2 + 10*k - 8. Suppose 7*x = 4*x - z + 171, -3*x = 3*z - 165. What is the remainder when x is divided by r(6)?
10
Calculate the remainder when 7 - ((-60)/(-72) + 2/12) is divided by 6/(-21) - (90/(-21))/1.
2
Suppose 18*j = 6905 - 1775. What is the remainder when j is divided by 43?
27
Suppose i + 2*u - 3 = 0, 0*u = -2*i + u + 6. Suppose 5*g = d + 112, -2*g - i*g = 3*d - 124. Calculate the remainder when g is divided by 9/(11 + -8) + 10.
10
Let r = 75 + -25. Suppose -7*s + 5*s + r = 0. Calculate the remainder when s is divided by 17.
8
Let y(b) = -5*b**3 - 14*b**2 - 3*b - 7. Let a(o) = -2*o**3 - 7*o**2 - o - 3. Let t(s) = -7*a(s) + 3*y(s). Calculate the remainder when t(5) is divided by 14.
12
Suppose 9*z - 90 = 225. Suppose -70 = -7*f - 0*f. What is the remainder when z is divided by f?
5
Let l(f) be the second derivative of f**3 + 6*f**2 - 6*f. Let j = 70 - 48. What is the remainder when l(5) is divided by j?
20
Let s = 358 - 306. Calculate the remainder when 255 is divided by s.
47
Suppose 9*k - 150 = -k. Calculate the remainder when 162 is divided by k.
12
Let g(v) = v**2 + v + 12. Let r = -3 - -6. Let s(x) = -x**3 + 6*x**2 - 3*x - 1. What is the remainder when g(-5) is divided by s(r)?
15
Suppose 74 = l - 42. Suppose -2*o - 22 = -l. What is the remainder when 186 is divided by o?
45
Let b(z) = z**3 - 4*z**2 + 7*z + 1. Let t be b(7). Suppose -4*j + t = -7. What is the remainder when j is divided by 13?
12
Suppose -10*i = -4*i - 1734. Calculate the remainder when i is divided by 58.
57
Suppose 10*b - 5*b + 45 = 0. Let l be 4 + (3 + b)/2. Calculate the remainder when 19 is divided by ((-1)/l - -10) + -2.
5
What is the remainder when ((-4)/(-12))/((-11)/(-2739)) is divided by 63?
20
Suppose -2*u - k + 318 = -507, 4*u - 3*k = 1655. Calculate the remainder when u is divided by 19.
14
Let n = -30 - -30. Suppose n = -2*m - 3 + 7. Calculate the remainder when m is divided by 1.
0
Let a(p) = -p**3 + 3*p**2 + 3*p - 7. Let z be a(3). Suppose -x = -z*b + 92, 5*b + x = 2*b + 138. Calculate the remainder when b is divided by 12.
10
Suppose 0 = 55*w - 366 - 184. Calculate the remainder when 142 is divided by w.
2
Let h(l) = l**2 + 19*l + 140. What is the remainder when 245 is divided by h(-8)?
37
Suppose -2*y - 286 = -4*z, -101 + 453 = 5*z + 3*y. What is the remainder when 136 is divided by z?
65
Suppose 0 = 9*s - 396 - 711. What is the remainder when s is divided by 34?
21
Let d(u) = u**3 - 6*u**2 + 7*u + 3. Let r = -558 - -574. Calculate the remainder when d(6) is divided by r.
13
Let c be (-2)/(-7) - (-8218)/49. Calculate the remainder when c/27 + (-10)/45 is divided by 2.
0
Let u be (-4)/(-1) - (0 - -3). What is the remainder when -2*1/(-1)*2 is divided by u/(-1) - (-21)/7?
0
What is the remainder when 47 is divided by (-6 + (4 - -3))*25?
22
Let j = 95 - 78. What is the remainder when 40 is divided by j?
6
Suppose -212*r + 206*r + 150 = 0. Calculate the remainder when r is divided by 14.
11
Suppose 76*t - 26*t - 950 = 0. Calculate the remainder when 892 is divided by t.
18
Suppose 2*s - 12 = -4. Suppose -g + 50 = 4*p, -4*p - 110 = -s*g - 2*p. Calculate the remainder when g is divided by 12.
6
What is the remainder when 31 is divided by (-6)/1*2*10/(-15)?
7
Let l(c) be the first derivative of c**2/2 - 21*c - 2. Let i be l(-12). What is the remainder when (-1656)/(-33) - (-6)/i is divided by 13?
11
Suppose 5*p + 4 - 18 = -3*x, p = x + 6. What is the remainder when 1/((x/(-28))/(57/6)) is divided by 45?
43
Let j be 0/((-2)/(4/(-2))). Suppose j = -5*p + 106 - 1. What is the remainder when 39 is divided by p?
18
Let d = -8 + 32. What is the remainder when 38 is divided by d?
14
Suppose 0*y + y = 0. Suppose y = 3*k - 8*k - 5*s + 630, 25 = 5*s. Calculate the remainder when k is divided by 31.
28
Suppose 1 + 7 = -4*c, 5*l - 3*c - 316 = 0. Suppose 0 = 3*u + u - 64. What is the remainder when l is divided by u?
14
Let a = 0 + 5. Let o(v) = 2*v**2 - 5*v - 9. Calculate the remainder when 46 is divided by o(a).
14
Let n = -247 + 367. What is the remainder when n is divided by 63?
57
Suppose 0 = 2*w + 25 - 39. What is the remainder when 21 is divided by w?
0
Let h(x) = 2*x + 29. What is the remainder when 98 is divided by h(-6)?
13
Suppose -2*j + j = -7. Let y(f) = 5*f + 1. Let c be y(8). Suppose 2*w - c = -j. What is the remainder when 65 is divided by w?
14
What is the remainder when 52 is divided by 15 - ((-4 - -6) + -6)?
14
Suppose -3*v + 16 = -c, -v - 4*c = -0*c + 12. Suppose 0 = v*r - 7*r. Calculate the remainder when 23 is divided by (r + 4)/((-4)/(-6)).
5
Calculate the remainder when 6/(-14) - (-54)/126*862 is divided by 27.
18
Suppose -2*g + 38 = 2. Calculate the remainder when 249 is divided by g.
15
Suppose 2*f - 3*f - 5 = 0, -f = 2*g - 83. Calculate the remainder when 159 is divided by g.
27
Suppose 3 = 5*w - 2*w. Suppose -3*a = -5*a + 4*v + 16, 4*a = -3*v - w. Suppose 20 = 5*d, -a*d - d - 148 = -4*f. Calculate the remainder when f is divided by 14.
12
Calculate the remainder when 30 is divided by 3/24*2 - (-1275)/100.
4
Suppose g - 3*g + 12 = 0. Suppose -3*w + g = 15, -v + 24 = -w. Calculate the remainder when 41 is divided by v.
20
Let x = -16 + 10. Let g = 8 + x. Suppose 2*m - 169 = -5*q - 0*m, -g*q = m - 67. Calculate the remainder when q is divided by 19.
16
Suppose -2*h + 3*h - 81 = -3*q, 2*q = -2*h + 158. Suppose -6*l = -274 + 544 - 390. What is the remainder when h is divided by l?
18
Let d = -209 - -224. Let b = 192 - 118. Calculate the remainder when b is divided by d.
14
Let a(n) = n**2 - 8*n + 12. Let k = -52 - -68. What is the remainder when k is divided by a(7)?
1
Let j(a) be the first derivative of a**3/3 - 3*a**2 + a + 1. Let z be ((-6)/(1 - -1))/((-156)/364). What is the remainder when j(z) is divided by 5?
3
Suppose 4*u + 11*u = 540. Calculate the remainder when 101 is divided by u.
29
Suppose 4*u - 122 = -98. Let i(k) = k**3 - 4*k**2 - 10*k - 7. Calculate the remainder when i(u) is divided by 2.
1
Suppose 0 = -i - 2*i - 5*j + 118, 3*i - 110 = -j. Suppose -q + 7*q = i. Let v(b) = -b**2 + 11*b - 10. What is the remainder when 77 is divided by v(q)?
17
Suppose -138 = -3*j + 9*j. Let t = j + 34. What is the remainder when 21 is divided by t?
10
Suppose 2*t = -5*x + 38, t - x + 94 = 5*t. What is the remainder when 93 is divided by t?
21
Suppose 3*f = y - 57, 5*y + 2*f - 315 = 7*f. Let x = -24831 + 24865. Calculate the remainder when y is divided by x.
32
Suppose -2*g = 6 - 36. Let b(f) = 2*f**3 - 2*f**2 + 2*f - 6. Let c be b(4). Let r = -55 + c. What is the remainder when r is divided by g?
13
Let a(y) be the first derivative of -y**2 + 26*y - 48. Calculate the remainder when a(12) is divided by 2.
0
Let f(s) be the second derivative of -2*s**3/3 - 4*s**2 - 6*s. Suppose -17 + 7 = 2*w. Calculate the remainder when f(w) is divided by 5.
2
Suppose -t + 6 = 2*t. Suppose 26 = 2*u + 2. What is the remainder when 42*(1 - 1/t) is divided by u?
9
Let i(x) = -43*x**2 - 399*x - 11. Calculate the remainder when i(-9) is divided by 56.
41
Suppose -2*c + 70 + 76 = 0. Suppose 0 = -9*q + 58 + 41. Suppose 2*s = -2*h + 17 + q, h - 90 = -5*s. Calculate the remainder when c is divided by s.
16
Calculate the remainder when (-170)/12*-2*3 is divided by 2 - 136/(-7) - (-144)/252.
19
Let t(q) = 10*q + 70. Let j be t(0). Suppose -25 = 3*k - j. Calculate the remainder when 81 is divided by k.
6
Suppose -12 = -5*u + h, -3*u + 2*u - 2*h - 2 = 0. Suppose -s + 20 = f + 3*s, -f + 13 = -3*s. Calculate the remainder whe