1.
14
Let t(r) = -14*r + 223. Calculate the remainder when 462 is divided by t(15).
7
Suppose 5*c = -4*t + 96, 30 = 2*t + 4*c - 24. Suppose 0 = -133*b + 4478 + 2571. Calculate the remainder when b is divided by t.
15
Suppose 0 = -x + 1, -i = 4*i - 5*x - 1065. Calculate the remainder when i is divided by 31.
28
Suppose -4*x + 0*x + 4 = 3*t, 2*t = -2*x + 2. What is the remainder when ((-1)/2)/(x/6) - -65 is divided by 16?
14
Suppose o - 164 = -2*l, -l = -4*o - 0*o - 73. Suppose 5*j - 833 = -773. What is the remainder when l is divided by j?
9
Let h = 20 - 4. Let d be (-1)/(2/h*-1). Suppose 0 = 3*g, -2*i + d = g - 6*g. Calculate the remainder when 9 is divided by i.
1
Suppose 132*s - 141*s + 189 = 0. What is the remainder when s is divided by 8?
5
Suppose 0 = 29*o - 5917 - 1826. Calculate the remainder when o is divided by 17.
12
Let x = 883 + -794. Suppose 13 = 3*j - 17. Suppose w + 5*c - 55 = 0, -w - 5*c + 5 = -j*c. Calculate the remainder when x is divided by w.
29
Suppose -3*t - t = -20. Suppose t*d = 4*d. Let b(z) = -z**3 - z**2 - z + 10. Calculate the remainder when b(d) is divided by 5.
0
Let y = -19614 - -19639. Calculate the remainder when (1 + 7/(-4))*-92 is divided by y.
19
Let h(j) = j**3 + 6*j**2 - j + 5. Suppose -24*s = -1609 + 73. Calculate the remainder when s is divided by h(-6).
9
Suppose 0 = i - 5 - 21. Let p = -29 + 33. Suppose p*r + r = 70. What is the remainder when i is divided by r?
12
What is the remainder when (126/(-84))/((-3)/178) is divided by 20?
9
Let i(d) be the third derivative of d**5/30 + 13*d**4/24 + 4*d**3/3 - 20*d**2. What is the remainder when 61 - (-2)/(4/2) is divided by i(-8)?
30
Let t(q) be the first derivative of 11 - 2*q**3 + 5*q + 0*q**2 - 1/4*q**4. Calculate the remainder when 19 is divided by t(-6).
4
Let v = -11 - -13. Suppose -5*j + 390 = -v*k, 6*k = 5*j + k - 375. Suppose 5*z - j = z. Calculate the remainder when z is divided by 11.
9
Let q(v) = v + 20. Suppose -2*j - 30 = 3*j + 5*c, 0 = -3*j + 4*c - 46. Calculate the remainder when 76 is divided by q(j).
6
Let z(a) = a**2 - 2*a - 151. What is the remainder when 206 is divided by z(17)?
102
Let k = -233 - -236. Suppose -7*g + k*g = -72. Calculate the remainder when (0 - -1) + (-2 - -72) is divided by g.
17
Suppose -3*y + 13 = m, -18*y = -15*y + 15. Calculate the remainder when 192 is divided by m.
24
Let x(a) = 19*a**3 + 16*a**2 - 4*a + 13. Let c(j) = 10*j**3 + 7*j**2 - 2*j + 6. Let l(k) = 9*c(k) - 4*x(k). Calculate the remainder when 45 is divided by l(1).
6
Suppose 556 = -174*f + 176*f. What is the remainder when f is divided by 22?
14
Let p(i) = 10*i**2 - 258*i - 21. What is the remainder when p(27) is divided by 34?
31
Suppose 0 = -k + 3*l + 110, -6*l + 2*l = 2*k - 200. Let i(z) = -18*z - 1. Let n be i(-3). Let m = k - n. Calculate the remainder when m is divided by 18.
15
Suppose 3*b = -2*b + 165. Suppose 4*k - 32 = -4*i, 4*i - 4*k = b + 39. Let q = 0 + i. What is the remainder when q is divided by 8?
5
Suppose -5*g - 3*i - 635 = 0, -4*i - i + 254 = -2*g. Let m = g - -179. Suppose -99 = -s - 81. Calculate the remainder when m is divided by s.
16
Suppose 127*y + 60 = 132*y. What is the remainder when (116/6)/((-1)/(-3)) is divided by y?
10
Let n = -537 - -556. Suppose -3*k + 68 = 4*x, 0 = 2*x - 5*x - k + 46. What is the remainder when n is divided by x?
5
Let a(n) = n**2 + n - 24. What is the remainder when 186/9 - 4/6 is divided by a(5)?
2
Let c(z) = z**2 + 18*z + 147. What is the remainder when c(-10) is divided by 32?
3
Suppose -3*n - 12 = -3*t - 7*n, -3*n = 3*t - 9. Suppose -q + 6*q - 180 = t. Let r = 27 - 14. What is the remainder when q is divided by r?
10
Let j(a) = -a**3 + 5*a**2 - 11. Let c(i) = -i**2 + i - 1. Let y(b) = -5*c(b) + j(b). Calculate the remainder when y(8) is divided by 17.
14
Let b = 15 - 19. Let i(p) = 4*p**2 + 6*p. Calculate the remainder when i(b) is divided by 7.
5
Suppose 9*x - 5*x + 20 = 0, -2*i + 38 = -4*x. What is the remainder when i is divided by 5?
4
Let m be (9/(-3))/(3/(-232)). Let x = m + -139. Suppose 212 - 20 = 8*v. Calculate the remainder when x is divided by v.
21
Let c be (-2)/(-9) + 79/9. Suppose -6*l = -c*l + 6. Suppose -l*b + 2*y = -84, -b - 2*b + 5*y + 128 = 0. Calculate the remainder when b is divided by 14.
13
Suppose 178 = 2*j + 142. Calculate the remainder when j is divided by 10.
8
Let x be (-2 - 32/(-14)) + (-5)/(-7). Let u(y) = -y - 6. Calculate the remainder when x*7/((-35)/(-50)) is divided by u(-9).
1
Let j(u) = 3*u**3 - 163*u**2 + 56*u - 99. Let g(t) = -t**2 + t + 33. What is the remainder when g(0) is divided by j(54)?
6
Let b(t) = t**2 - t. Suppose 0 = -5*a + 4*l - 2*l + 39, l = -4*a + 26. What is the remainder when 68/(a + -5) - -1 is divided by b(-3)?
11
Let n(u) = -u**2 + 37*u - 324. Calculate the remainder when 346 is divided by n(15).
4
Let m = -6171 - -6183. Suppose 5*p = 107 + 53. What is the remainder when p is divided by m?
8
Suppose -4*f + 45 + 95 = 0. Suppose 4*m + 80 = 4*x, -3*x + 6*m = 2*m - 59. Calculate the remainder when f is divided by (-6)/2*(-133)/x.
16
Let a = 23 - 13. Calculate the remainder when 50 is divided by (-4)/a - 1541/(-115).
11
Let g(j) = -2*j**3 + 18*j**2 + 11*j - 16. What is the remainder when g(9) is divided by 35?
13
Suppose -3*n = -2*q - 504, -2*n - 4*q + 123 = -229. Suppose 0 = 3*y + 7*y - n. What is the remainder when 29 is divided by y?
12
Let j be (-13)/(-78) + (-35)/(-6). Suppose -j*n - 25 = -7*n. Calculate the remainder when 49 is divided by n.
24
Suppose -3*i + 157 - 42 = 2*p, -i + 2*p = -25. What is the remainder when 103 is divided by i?
33
What is the remainder when (945/(-126))/((-2)/76) is divided by 16?
13
Let r = 1116 - 1074. Let m be 5*((-3)/5 + 1). Suppose -r = -m*s - s. What is the remainder when 67 is divided by s?
11
Suppose 0*o - 91 = -x - 4*o, x = -2*o + 97. Suppose -4*l + 421 = -x. Calculate the remainder when l is divided by 33.
32
Suppose 4*b + 9 = 5*a, -4*b = 5*a - 5*b - 21. What is the remainder when 23 is divided by a?
3
Let x(o) = o**3 - 25*o**2 + 28*o - 84. Calculate the remainder when x(24) is divided by 2.
0
Calculate the remainder when (-2 - (-372)/27) + 2/9 is divided by 8.
4
Suppose 71 = -3*g - 139. Suppose 42 = -2*s - 184. Let b = g - s. What is the remainder when b is divided by 11?
10
Let m = -109 + 184. Calculate the remainder when m is divided by 39.
36
Suppose 3*n + 8 + 4 = 0. Let o(u) = -3*u**2 + 10*u + 5. Let g(v) = v**2 - v - 1. Let t(j) = -4*g(j) - o(j). Calculate the remainder when 20 is divided by t(n).
6
Let k = -302 - -584. Suppose -c = -4*c + k. What is the remainder when c is divided by 24?
22
Let s be (-1)/((2/4)/(91/(-14))). Let c(p) = 3*p - 28. Suppose 0 = 3*t - 12, 0*g - 166 = -5*g - 4*t. What is the remainder when g is divided by c(s)?
8
Let h(p) = -2*p**2 - 7*p + 2. Let f be h(-5). Suppose 0*a + 32 = -4*a. Let q = a - f. Calculate the remainder when q is divided by 4.
1
Let o be 440/25 - (-8)/20. Let n = o - 14. What is the remainder when 7 is divided by n?
3
Let i(y) = -4*y - 28. Let w = 11 + -19. Calculate the remainder when 2*(-1 + 13/2) is divided by i(w).
3
Let p(j) = -17*j - 142. Calculate the remainder when 172 is divided by p(-12).
48
Suppose 0 = -4*p - 29 - 23. Let x = p - -18. Suppose -5*i = -n - 0*n - 23, -x*n = -2*i. Calculate the remainder when 4 is divided by n.
0
Let p = -1 - -1. Let l = 8 + p. Let u(t) = -t**3 + 33*t**2 - 199*t - 12. Calculate the remainder when u(25) is divided by l.
5
Suppose -67*b + 71*b = -3*m + 320, -2*b - 100 = -m. What is the remainder when 413 is divided by m?
101
Let m(d) = -42*d - 229. Calculate the remainder when 252 is divided by m(-6).
22
Suppose -802 = 7*g - 2055. What is the remainder when g is divided by 46?
41
Suppose 2574*n + 6 = 2575*n. Calculate the remainder when n is divided by 2 - 3/(5 - 2).
0
Let w(r) = -r**3 - 21*r**2 + 47*r + 41. Suppose 3*k - 178 = k. What is the remainder when k is divided by w(-23)?
17
Suppose 0*q = -9*q + 360. What is the remainder when 237 is divided by q?
37
Suppose -99*h + 552 = -91*h. What is the remainder when h is divided by 6*3/(-3)*-3?
15
Suppose 0*q = 5*q - 25. Suppose q*g - 25 = -0*g. What is the remainder when 9 is divided by g?
4
Suppose 2*s + 2*s = 4*i - 200, -3*s = 2*i - 120. Suppose i*w = 59*w -