2
Suppose 0 = 3*t - 520 + 157. Let h = t - 49. Calculate the remainder when h is divided by 26.
20
Suppose -2*t = -2*l + 612, 2*t - 4*t + 1224 = 4*l. Suppose 0 = 4*g - l - 106. Calculate the remainder when g is divided by 26.
25
Suppose -50*l = -47*l - 3. What is the remainder when 49 is divided by l?
0
Suppose -20*u = -16*u - 8. Let j(g) = 5*g - 3. Let y be j(3). Suppose u*r + y = 4*w, w = 4*r - r + 3. Calculate the remainder when 9 is divided by w.
0
Let n(x) = 1. Let u(p) = -5*p + 8. Let b(f) = 6*n(f) - u(f). Calculate the remainder when b(11) is divided by 14.
11
Let w(x) = -4*x - 31. What is the remainder when 9 is divided by w(-10)?
0
Suppose -3834 = -7*v - 20*v. What is the remainder when 274 is divided by v?
132
Suppose -6 = 2*u + 3*x, -3*u - 3*x - 6 = 2*u. Suppose 4*h + 36 = -u*h. Calculate the remainder when h/(-2)*8 + -1 is divided by 12.
11
Suppose 5*d = -5*n - 26 + 101, -2*n + 54 = -4*d. Suppose m + n = 2*m. Calculate the remainder when 36 is divided by m.
17
Suppose -12*m - 153 = -453. Let w be (-3)/((-21)/6 + 2). Suppose -n = -7 - w. What is the remainder when m is divided by n?
7
Let r = 35 + -15. Suppose h + 33 = 5*x - 2*h, -r = -4*x + 4*h. Calculate the remainder when (-1 - -11)*(-28)/(-8) is divided by x.
8
Suppose 756 = -7*y + 9*y. Suppose -105 + y = 3*t. Calculate the remainder when t is divided by 31.
29
Let r be ((-2)/(-2))/(1/11). Let a = 23 - r. Suppose 0 = q - 5*i + 20, -3*q + 49*i + 100 = 54*i. What is the remainder when q is divided by a?
8
Suppose 4*w + 126 = 13*w. What is the remainder when 250 is divided by w?
12
Let q(d) = d**3 - 6*d**2 + 7*d - 21. What is the remainder when q(6) is divided by 4?
1
Suppose 0 = 2*i - 26 + 10. What is the remainder when 164/i - (1 - (-2)/4) is divided by 11?
8
Suppose 0 = 2*o - 2*o + 2*o, -100 = -4*y + 4*o. Let m = -11 - -18. Calculate the remainder when y is divided by m.
4
Let o(u) = -11*u**2 + 4*u - 3. Let a(c) = -11*c**2 + 5*c - 2. Let b(n) = -4*a(n) + 3*o(n). What is the remainder when b(4) is divided by 36?
35
Suppose 0 = -5*u - 4*l + 1 + 23, 2*u = l + 7. Calculate the remainder when 3/(-2) + 164/8 is divided by u.
3
Suppose 2*c - 19 - 11 = -4*w, 4*c = -3*w + 15. Calculate the remainder when 170 is divided by w.
8
Let r = 914 + -837. Calculate the remainder when r is divided by 14.
7
Let t(d) = 2*d + 44. Suppose -5*l = -x + 9, -x + 3*l - 3 = x. Calculate the remainder when t(x) is divided by 7.
4
Let o(d) be the third derivative of -d**5/15 + 3*d**4/4 + 2*d**3/3 - 28*d**2. Calculate the remainder when 34 is divided by o(4).
10
Let l(d) = d - 14. Let q be l(4). Calculate the remainder when 66 is divided by (-2 + (-3 - -4))*q.
6
Suppose 19*x - 24*x = -130. Calculate the remainder when x is divided by 7.
5
Suppose o = 4*l - 67, 4*l = -3*o + 12 + 59. Calculate the remainder when 23 is divided by l.
6
Let x be 1 + (-2)/(-1) + 353. Calculate the remainder when (-4)/12 - x/(-6) is divided by 32.
27
Let d(j) = j**2 + j - 3. Suppose -17*z + w = -13*z - 261, 0 = 4*w + 20. Calculate the remainder when z is divided by d(4).
13
Let h = 5 - 20. Let r be 1/(-3) - 35/h. Suppose 0 = r*a - 8 + 2. What is the remainder when 5 is divided by a?
2
Suppose a - 4*n - 276 = 0, a - 2*n - 331 = -51. What is the remainder when a is divided by 73?
65
Suppose 58 = 4*o - 2*g, 4*g + 0 = -4*o + 28. Calculate the remainder when 272 is divided by o.
8
Let a = -341 + 367. Calculate the remainder when 79 is divided by a.
1
Suppose -721 + 241 = -4*d. Suppose -4*a = -a - d. Let h = a - -33. Calculate the remainder when h is divided by 19.
16
Suppose -q - t + 12 = 0, -3*q - 2*t = 2*q - 57. Suppose 49*i - 50*i = -q. Calculate the remainder when i is divided by 4.
3
Let y(g) = 4*g**3 - 3*g + 2. Let q be y(1). Suppose -6 + q = 3*a, -2*a = -d + 153. Calculate the remainder when d is divided by 38.
37
Let o(a) = 16*a - 132. Calculate the remainder when 82 is divided by o(9).
10
Let y = -568 - -805. Suppose -2*w - 3 = -y. What is the remainder when w is divided by 20?
17
Suppose 0 = 6*c + 81 - 171. Let i(g) = -g**2 - 7*g - 2. What is the remainder when c is divided by i(-5)?
7
Suppose -5*p + 6 = -14. Suppose -140 = -5*u - 5*y, p*y = -u - 4 + 41. Let c = u - 9. Calculate the remainder when c is divided by 11.
5
Let i = 12 + 37. Let s(v) = -12*v - 575. Calculate the remainder when i is divided by s(-49).
10
Let n(t) = -t**2 + 11*t + 14. Calculate the remainder when 117 is divided by n(5).
29
Let d(y) = -24*y**3 - y**2 - y - 1. Suppose -10*s + 13*s = 1095. Suppose -s = -9*o + 13. What is the remainder when o is divided by d(-1)?
19
Let z = -52 + 67. Suppose 3*k = 5*a - 103 + 22, -2*a + 58 = -2*k. Let h = k + 61. Calculate the remainder when h is divided by z.
14
Let x(z) = z**3 + 9*z**2 + 6*z + 5. Let u = 14 - 22. Let q(k) = -k**2 + k + 83. What is the remainder when q(0) is divided by x(u)?
20
Suppose 5*x + 180 = 11*x. What is the remainder when 36 is divided by x?
6
Let i = -105 - -122. What is the remainder when (-2)/6 + (-741)/(-9) is divided by i?
14
Let q(a) = a**2 - 6*a + 6. Let v be q(6). Suppose -p + v*p = 550. Calculate the remainder when p is divided by 14.
12
What is the remainder when 21554/182 - (-8)/14 is divided by 70?
49
Suppose 2*y + b - 355 = 0, 4*y + 2*b = 3*y + 170. Calculate the remainder when y is divided by 37.
32
Suppose -33 - 99 = -2*a + 2*s, -5*s - 25 = 0. Suppose -5*j = b - 109 + 25, 5*j - 3*b = 68. What is the remainder when a is divided by j?
13
Let j(z) = 13*z + 8. Let q be j(2). Suppose -n + q = 8. Calculate the remainder when 51 is divided by n.
25
Let i be 0 + -3 + 4 - -16. Let x = i + -11. What is the remainder when 41 is divided by (x/(-4))/(4/(-56))?
20
Let d be 4/(-6)*(-20 + 2). Let j = d + -10. Suppose 2*i = -3*w + 44, j*i - 3*i - w + 23 = 0. What is the remainder when 49 is divided by i?
24
Suppose -9 = -x - 2*x. Calculate the remainder when ((-101)/x)/((-1)/3)*1 is divided by 26.
23
Suppose 3*x + 4*x - 28 = 0. Suppose y + y + x*c - 50 = 0, y = 3*c + 15. What is the remainder when y is divided by 12?
9
Suppose -2*z + 14*z - 168 = 0. Calculate the remainder when 60 is divided by 186/z + 6/(-21).
8
Suppose 3*a - 4*u = 24, 3*a + 4*u = 27 + 21. Let r = 7 - -30. Suppose 5*f = -a + r. Calculate the remainder when 14 is divided by f.
4
Let n(v) = 2*v + 3. Let z = -2 - -6. Suppose -144 = -5*g - z*m + 134, -4*m = -8. Calculate the remainder when g is divided by n(8).
16
Suppose -115 = -3*u - 3*p + 5*p, -2*u + 55 = 3*p. Suppose 27*i + 952 = 1712 + 3938. What is the remainder when i is divided by u?
34
Suppose -4*j = 36*z - 35*z - 357, 2*z = -4*j + 362. Calculate the remainder when 119 is divided by j.
31
Suppose 1635 = 5*l + 5*a, -a + 642 = 2*l - 3*a. Calculate the remainder when l is divided by 25.
24
Calculate the remainder when (64791/(-115))/((-3)/10) is divided by 11.
8
Suppose -12*j - 8*j + 740 = 0. What is the remainder when 59 is divided by j?
22
Let g(x) = x**3 + 5*x**2 - 6*x. Let u be g(-6). Suppose 3*v + 45 = 2*p + 13, u = -5*p + 4*v + 73. Calculate the remainder when 37 is divided by p.
11
Let p(v) = -4*v**3 + 4*v**2 - 32*v - 70. Calculate the remainder when 670 is divided by p(-2).
40
Suppose -6*m - 59 + 101 = 0. Let y = 49 + -32. Calculate the remainder when y is divided by m.
3
Let o(c) = c**3 - c**2 - 7*c + 1. Let f(s) = -s**2 - 4*s + 1. Let r be f(-2). Calculate the remainder when o(r) is divided by 23.
20
Let d = 43 - 31. Suppose 0 = 4*f - 5*t - 174, -t + 121 = -9*f + d*f. What is the remainder when 80 is divided by f?
39
Let x(l) = 14*l - 118. What is the remainder when x(34) is divided by 36?
34
Calculate the remainder when -97*(1 + 10/(-5)) is divided by 25.
22
Let y = 100 + -94. What is the remainder when 63 is divided by 1372/84 + 1/(y/4)?
12
Suppose 4*t + t + 42 = -d, 2*d + 4*t + 54 = 0. Let b = 23 + d. What is the remainder when ((-62)/(-5))/(b/15) is divided by 11?
9
Suppose -2 - 7 = -f. Let j(g) be the second derivative of -g**4/12 + 13*g**3/6 - 13*g**2/2 - g. Calculate the remainder when j(f) is divided by 12.
11
Suppose -3*v + 65 = 2*v. Let j = -52 - -58. Suppose -41 = -5*m - j. Calculate the remainder when v is divided by m.
6
Let k be -1 + (75 - (-1 + 5)). Let b = 92 - k. What is the remainder when 76 is divided by b?
10
Suppose 5*v - 5*b - 145 = 0, -5*v = b