- 3*z. What is the remainder when 169 is divided by i?
33
Suppose -71*z + 21*z + 24*z + 780 = 0. Let p(f) = -f + 38. What is the remainder when p(0) is divided by z?
8
Suppose 32 = -3*c - 6*h + h, 0 = c + 4*h + 20. Suppose -6 = 3*f - f. What is the remainder when 8 is divided by f/(6 + c + -3)?
2
Let a = 213 - 160. Let k = 59 + -84. Let z = k - -43. What is the remainder when a is divided by z?
17
Suppose -6*v = -325 + 13. Calculate the remainder when 198 is divided by v.
42
Suppose -5*x + 7 = -8. What is the remainder when x is divided by (-169)/(-143) - 2/11?
0
Suppose 0 = -2*d - 0 + 14. Let g(w) = -w - 4. Let f be g(-4). Suppose -7 - 18 = -5*a, f = -2*o + a + 45. Calculate the remainder when o is divided by d.
4
Let n = -20 - -17. What is the remainder when (30/(-5))/n*(5 - 0) is divided by 4?
2
Let g(c) be the first derivative of 2*c**3/3 - 3*c**2/2 - 8*c - 8. Let d be g(-7). Suppose 4*l + 19 = d. Calculate the remainder when l is divided by 13.
10
Suppose 4*m = 30 + 70. Let j = 30 - m. Suppose u = -5*i + j*u + 124, -5*i + 148 = 2*u. What is the remainder when i is divided by 10?
8
Let y = -44 + 75. Let n(k) = -15*k + 1. Let j be n(-1). Suppose 0 = u - 0*u - j. What is the remainder when y is divided by u?
15
Suppose -706 = -12*f + 62. What is the remainder when f is divided by 18?
10
Let y = 318 - 184. Suppose 7*q = y - 36. Let k = q + 26. Calculate the remainder when k is divided by 14.
12
Let c(h) = 93*h - 454. Let i(k) = -k**3 + 5*k**2 - 3*k + 2. What is the remainder when c(5) is divided by i(4)?
5
Let j = 1710 - 1649. Suppose g + 88 = 5*g. Calculate the remainder when j is divided by g.
17
Let d(u) = -9*u**3 + 2*u**2 - u - 4. Let m be d(-3). Suppose 611 = 13*f - m. What is the remainder when f is divided by 17?
16
Let q = -19 - -19. Suppose -2*t + 12 + 4 = q. What is the remainder when ((-51)/(-5))/(t/40) is divided by 14?
9
Suppose -c = -4*u - 144 + 484, -3*u = 3*c - 240. Calculate the remainder when u is divided by 30.
24
Suppose 0 = -5*y + 2*d + 551, 0*d + 117 = y + 3*d. Let h = y + -45. Calculate the remainder when h is divided by 34.
32
Let y be 2 - (15/5 - -78). Let m = y + 91. What is the remainder when 46 is divided by m?
10
Let a = -97 - -113. Let b = 49 + -21. Calculate the remainder when b is divided by a.
12
Calculate the remainder when 66 is divided by 244/732 + 3*(-220)/(-18).
29
Let i = -314 - -345. What is the remainder when 587 is divided by i?
29
Suppose l - 59 = -s, -l + 94 = l - 4*s. Suppose -3*r = -5*a + r - 42, -a + 4*r = 18. Let i = a + 25. Calculate the remainder when l is divided by i.
17
Suppose 0 = 4*l + j + 17 + 16, -33 = 3*l - 2*j. Let x = l + 42. Calculate the remainder when x is divided by 9.
6
Suppose -7*m - 2*m = -396. Calculate the remainder when m is divided by 31.
13
Suppose -4*y - 10 = 2*p, 17 = -5*p + 3*y + 57. What is the remainder when p is divided by 4?
1
Let l = -75 + 135. Suppose -l - 47 = -b. Calculate the remainder when b is divided by (38/(-14) - -3) + (-374)/(-14).
26
Suppose 2*m - w = -2*w + 16, 12 = 2*m - w. Let f(i) = -4*i - 2. Let k be f(-1). Suppose -k*r = 3*r - 15. Calculate the remainder when m is divided by r.
1
Let s = -1064 - -1080. What is the remainder when 89 is divided by s?
9
Let s = -16 + 10. Let d = -6 - s. Suppose 4*g - 2*y - 52 = 0, 4*g + g - 5*y - 55 = d. What is the remainder when 43 is divided by g?
13
Suppose -4*n - 105 = -3*w - 490, 425 = 4*n + 5*w. Calculate the remainder when n is divided by 51.
49
Suppose 0 = 4*a + 8, -3*t + 0*t - 2*a + 17 = 0. What is the remainder when (23 - 21) + 1 + 20 is divided by t?
2
What is the remainder when 2*(-1)/((-4)/126) is divided by (-11)/(-2 - -1) + 2?
11
Suppose 0 = 5*g - 3*b + 8, -8*g + 3*g - 12 = -2*b. Suppose 0 = -5*v + 3*w + 53, -w = 2 - 1. Let h = v + g. Calculate the remainder when 9 is divided by h.
3
Let u be 60 + 0*(3 - 14/4). Suppose -y = -3*y - 6, 0 = -q - 2*y + u. Calculate the remainder when q is divided by 23*(0 + -1)*-1.
20
Suppose -6*y = -11*y. Suppose -2*t + 3*t + 8 = y. Let l = t + 21. Calculate the remainder when 61 is divided by l.
9
Let u = 38 + -35. What is the remainder when 119 is divided by (-2)/9*u*-45?
29
Let y = -16 + 32. Suppose y + 70 = a. Let x = -105 - -127. What is the remainder when a is divided by x?
20
Suppose -3444 = r - 15*r. Calculate the remainder when r is divided by 25.
21
Suppose -1285 = -32*h + 2491. Calculate the remainder when h is divided by 17.
16
Let j(o) = 25*o**2 + 3*o. What is the remainder when j(1) is divided by 18?
10
Let x(o) = -o**2 - 13*o - 15. Suppose 2*b + 0*b + 12 = 0. Calculate the remainder when 78 is divided by x(b).
24
Suppose -3*t + 17 = 4*d, 3*t + 5*d + 14 = 27. What is the remainder when 11 is divided by t?
0
What is the remainder when 80 is divided by (3 - 1) + -1 + -11 + 22?
8
Let c(t) be the first derivative of 2*t**3/3 + t**2 + 4*t - 1. Let b be 4/22 - (-124)/44. Calculate the remainder when c(b) is divided by 15.
13
Let y be (-262)/(-4) + (-2)/(-4). Suppose -2*m + 40 + y = 0. Calculate the remainder when m is divided by 9.
8
Suppose 3*z + 2*n + 39 = 129, -z + 30 = 4*n. What is the remainder when 447 is divided by z?
27
Suppose -4*y + 0*y = 5*l - 1712, 4*y + 3*l = 1720. Calculate the remainder when y is divided by 88.
81
Let y(q) = -q**2 - 32*q - 199. What is the remainder when 179 is divided by y(-18)?
20
Let u(k) = -k**2 + 5*k + 4. Let p be u(-1). What is the remainder when (p + 100/(-8))/(2/(-4)) is divided by 15?
14
Let u(j) = 5*j - 2. Suppose -g = 3*c - 17, 387*g = -3*c + 388*g + 19. What is the remainder when u(2) is divided by c?
2
Suppose -6*o = -o - 30. Calculate the remainder when 13 is divided by (-6)/(-1) - o*1/6.
3
Let h(u) = -u**3 + 2*u**2 - u + 2. Let a be h(4). Let w = 47 + a. Let y = 203 + -198. What is the remainder when w is divided by y?
3
Let y(o) = 4*o + 3. Let m(d) = d**3 + 13*d**2 + 14*d - 13. Suppose -2 = 3*k + 31. What is the remainder when m(k) is divided by y(4)?
18
Suppose 2*m - 4*b + 9*b = 3, 5*m - 55 = -3*b. Suppose -m = 3*k + 4. Calculate the remainder when ((-20)/(-6))/((-1)/k) is divided by 7.
6
Let u(h) = -5*h**3 - h**2 - 4*h - 2. Let x be u(-1). Suppose x*p + 57 = 9*p. What is the remainder when p is divided by 7?
5
Let s be 108/30*200/(-6). Let w be (s/9)/(4/(-18)). Let u = w + 7. What is the remainder when u is divided by 17?
16
Let a be (16/(-24))/((-1)/(-12)). What is the remainder when ((-225)/(-6))/(-5)*(a - -6) is divided by 8?
7
Let m = -255 + 349. Calculate the remainder when m is divided by 27.
13
Let s be 16 - (-3 + -1 + 0). Let b = s - 14. Let o(f) = -f**3 + 6*f**2 + 3*f - 5. Calculate the remainder when 38 is divided by o(b).
12
Suppose -16*p + 11*p - 5*j + 110 = 0, -4*p = j - 76. What is the remainder when 80 is divided by p?
8
Suppose -92*w = -71*w - 1113. Calculate the remainder when 899 is divided by w.
51
Let q = 1048 + -1025. What is the remainder when 781 is divided by q?
22
Suppose 0 = n + 3*n - 3*b - 97, -2*b = -3*n + 73. Suppose x + n*x - 52 = 0. Calculate the remainder when (-1 - -8) + -2 + 1 is divided by x.
0
Suppose 2*u + 3*n - 47 = -182, -n = -1. Let z = 134 + u. What is the remainder when z is divided by 22?
21
Let p(o) = 3*o**2 + 4*o - 12. What is the remainder when 108 is divided by p(2)?
4
Let r = 120 + -23. Suppose -70*w = -79*w + 126. Calculate the remainder when r is divided by w.
13
Suppose 3*c - 2*u = 7*c - 138, 0 = -u - 3. What is the remainder when 207 is divided by c?
27
Let k(o) = 2*o**3 + 2*o**2. What is the remainder when (-4)/10 + (-2802)/(-30) is divided by k(2)?
21
Suppose -t = 2*t - 15. Suppose -932 = -t*x + 33. Calculate the remainder when x is divided by 39.
37
Let m(r) = -r**2 - 29*r - 26. What is the remainder when 11 is divided by m(-28)?
1
Suppose -2*k + o + 3*o + 24 = 0, -2*o + 36 = 3*k. What is the remainder when 1270 is divided by k?
10
Suppose -5*f + 147 = -4*d - 8*f, -38 = d + f. Let b = -22 - d. What is the remainder when 43 is divided by b?
10
Suppose 0 = -4*w - 5*b - 19, -4 + 3 = w + 5*b. What is the remainder when 21/w*-50 + 2 + -4 is divided by 29?
28
Suppose -17*t + 320 = 15*t. Let p(h) = 5*h + 1. Calculate the remainder when p(5) is divided by t.
6
Suppose 176*d - 181*d + 35 = 0. Calculate the remainder when 29 is divided by d.
1
Suppose 2*t - f - 52 