0)*(-28)/(-3). Suppose p = -m*t + 95. Calculate the remainder when 11 is divided by t.
3
Let j = -6481 + 6501. Let b(t) = t**3 + 8*t**2 - t - 5. What is the remainder when b(-6) is divided by j?
13
Suppose -107*t + 75167 + 62590 = -32587. Calculate the remainder when t is divided by 524.
20
Let u = -30 + 34. Suppose 0 = -b + 5*b - 2*a - 2, 4*a = u*b - 4. Suppose b = z + 4*z - 55. Calculate the remainder when z is divided by 3.
2
Let c = 98 - 76. Suppose 4*x = s + 291, -x + s + 363 = 4*x. Suppose -j + x = -c. What is the remainder when j is divided by 12?
10
Suppose y + 0*y + 4*n - 211 = 0, -n + 429 = 2*y. Calculate the remainder when y is divided by 191.
24
Let m = 109 - 15. Let c(u) = u**3 + 30*u**2 - 30*u - 108. Let d be c(-31). Let k = 187 + d. What is the remainder when m is divided by k?
46
Suppose -2*j = -1 - 5. Suppose 2*w + j*o - 51 = -0*o, o - 3 = 0. Calculate the remainder when 146 is divided by w.
20
Let t(z) = -3066*z + 15. Let f be (-2 - -6)*(-6)/(-8). Suppose -f*v = 2*v - 275. What is the remainder when v is divided by t(0)?
10
Let y = 440 - 347. Suppose 4*u + h - 2 = -h, 3*u - 1 = -h. Suppose u = -3*q + 40 + 32. What is the remainder when y is divided by q?
21
Suppose 0 = -9*a - 116 + 26. What is the remainder when ((-3355)/275)/(2/a) is divided by (-2)/(0 + -2) + 12?
9
Suppose -139 = -4*c - i, -15*i + 14*i - 1 = 0. Suppose 5*r = -m - 65, m - 16 = 3*r - 3*m. Let u = r - -20. Calculate the remainder when c is divided by u.
3
Suppose 3*r = -3*y + 1347, -41*r + 34*r - 5*y + 3135 = 0. What is the remainder when r is divided by 119?
88
What is the remainder when 364 is divided by (3510/36)/(9/6)?
39
Suppose -m - 4*t = -282, -2*m = -4*m - t + 543. Calculate the remainder when m is divided by 36.
18
Suppose -6*u = 9*u - 0*u - 5295. Calculate the remainder when 1422 is divided by u.
10
Let n(y) = y**3 + 24*y**2 + 4*y + 114. What is the remainder when 448 is divided by n(-24)?
16
Let s(a) = -5 - 13 - 4*a - 2. Let m = -1655 - -1648. Calculate the remainder when 21 is divided by s(m).
5
Let f = -4 + -8. Let o = -21 - f. Let b(u) = u**3 + 10*u**2 + 6*u - 13. Calculate the remainder when 53 is divided by b(o).
11
Let x(b) = 10*b + 17*b + 3*b - 28*b + 3. Let d(r) = -6*r - 8. Let z(n) = -4*d(n) - 11*x(n). Calculate the remainder when 15 is divided by z(3).
0
Let i = -95 + 65. Let r(u) = -u**3 - 30*u**2 - u - 16. What is the remainder when r(i) is divided by (7 - -2)*(-1)/(-3)?
2
Calculate the remainder when 340 is divided by (-39114)/(-41)*(8/4 + -1)/3.
22
Let g(y) = y + 9. Let v be g(-6). Suppose -v*x + 3*k = -120, 0 = -4*x - 2*k - 2*k + 152. Calculate the remainder when x is divided by ((-63)/(-6))/((-1)/(-2)).
18
Let q(t) = -t + 70. Let o(i) = 8*i - 9. Let w be o(2). What is the remainder when q(w) is divided by 22?
19
Let n(h) = -4*h**2 + 27*h - 1. Let s(w) = 3*w**2 - 30*w. Let v(l) = 4*n(l) + 5*s(l). Calculate the remainder when v(-12) is divided by 17.
16
What is the remainder when 149 is divided by 38/4*(-13)/((-91)/70)?
54
What is the remainder when 4498 is divided by (-12)/26 - 13708/(-1196)?
10
Suppose 0 = 4*z + 2*t - 90, 0 = -2*z + 6*t - 3*t + 57. Suppose 5*o + 7*d = 5*d + 403, -o - 4*d + 59 = 0. Calculate the remainder when o is divided by z.
11
Let q(s) = -s**2 - 6*s + 30. Let o be q(3). Suppose -5*l = -o*j + 168 + 108, -l = j - 84. What is the remainder when j is divided by 13?
9
Let k = -55 - -97. Suppose 0 = -21*n + 11*n. Suppose n = 25*j - 19*j - 150. What is the remainder when k is divided by j?
17
Let q(l) = 2*l**3 + 11*l**2 + 20*l + 43. Let y(p) = p**3 - p + 1. Let r(f) = q(f) - y(f). Calculate the remainder when 449 is divided by r(-9).
14
Let s(u) be the second derivative of -u**5/20 - u**4 - 11*u**3/6 + 5*u**2/2 + 75*u. What is the remainder when 16 is divided by s(-11)?
1
Suppose 4*l + 108 = 4*o, 6*o - 116 = 2*o + 2*l. Suppose -42 = -m - 2*n - o, 2*n = -4*m + 74. What is the remainder when 63 is divided by m?
0
Suppose -4*f + 27 = k - 55, -61 = -3*f - k. Let x = -29 + 31. Calculate the remainder when f is divided by x.
1
Let z be (-2)/((-348)/173 - -2). Let f = z - 93. Let y(j) = -263*j + 540. Calculate the remainder when f is divided by y(2).
10
Suppose -6*i - 250 = -i. Let f be 6/24 - 645/(-12). Let w = f + i. Calculate the remainder when 9 is divided by w.
1
Let c = 26 - -13. Calculate the remainder when 2995/20 - (10/2 - 84/16) is divided by c.
33
Let s = 3214 - 3025. What is the remainder when s is divided by 48?
45
Let t = 20 + 0. Suppose 148 = -16*f + t*f. Let v = f - -44. Calculate the remainder when v is divided by 21.
18
What is the remainder when 18228/22 - ((-3420)/21945)/(2/(-7)) is divided by 219?
171
Suppose 2*y = -3*z + 885, 5*y - 4829*z - 2218 = -4831*z. Calculate the remainder when y is divided by 121.
81
Let w(z) = -z**3 - 14*z**2 + 7*z + 84. What is the remainder when w(-15) is divided by 178?
26
Let f(d) = -d + 3. Calculate the remainder when 28/(-8)*66/(-126)*24 is divided by f(-6).
8
Suppose -6538 = 6*p - 34828. What is the remainder when p is divided by 9?
8
Let m(p) = -38*p**2 - 8*p - 2. Let w be m(7). What is the remainder when 71 is divided by w/(-90) + (4/(-3))/4?
8
Suppose -a = -3*i + 46, 0*i - 2*a = 4*i - 68. Suppose -8*m + 9*m = 1, -2*c = -m - 83. Calculate the remainder when c is divided by i.
10
Let t(i) = 38*i - 33. Let g be t(-8). Let d = g - -764. Calculate the remainder when d is divided by 13.
11
Let v = -190 - -188. What is the remainder when ((-113)/v - 3)*2 is divided by 22?
19
Let q = 19 - -36. Let m = 223 - q. Let z = -71 + m. Calculate the remainder when z is divided by 33.
31
Suppose z = -5*v + 30, 7 - 2 = v. Suppose -5*j - 2*a + 102 = 0, 9*j + z*a - 24 = 7*j. What is the remainder when 40 is divided by j?
18
Let m = 321 - 313. Suppose -4*i - 2*b - 54 = 0, -3*i - 4*b + 5*b - 33 = 0. Calculate the remainder when 1*76 + i/(-6) is divided by m.
6
Suppose 0 = -0*k + 4*k + 23*k. Suppose k = -u + 5*f + 69, 3*f + 57 = u + f. Calculate the remainder when u is divided by 27.
22
Suppose -5*u - v = -3*v - 192, -u = v - 37. What is the remainder when 3529 is divided by u?
33
Calculate the remainder when 479 is divided by -9*335/(-15)*((-336)/(-36) + -9).
10
Let n(m) = -18*m - 69. Let f(x) = 71*x + 276. Let k(c) = 2*f(c) + 9*n(c). Calculate the remainder when k(-5) is divided by 2/((-18)/(-8) - 2).
7
Let g(n) = -2*n**3 - 21*n**2 + 10*n - 9. Let z be g(-11). Suppose -z*p = -3*c - p + 417, c + 5*p = 139. Calculate the remainder when c is divided by 48.
43
Let c(w) be the second derivative of w**4 + 1/20*w**5 - 5*w**3 - 21/2*w**2 + 16*w + 0. Calculate the remainder when 19 is divided by c(-14).
5
Let j = 132 - 21. Suppose 5*i + 190*p - 70 = 185*p, -4*i + 2*p + 56 = 0. Calculate the remainder when j is divided by i.
13
Let c(a) = -97*a - 3739. What is the remainder when c(-42) is divided by 72?
47
Let n = 162 - 160. Suppose 0 = x - n*x - 2*q + 85, 0 = -x + 2*q + 89. What is the remainder when x is divided by 19?
11
Let x = 335 - 321. Suppose -252 = -x*i + 12*i. Suppose 0 = 5*n + 5*g - 2*g - 145, -g = -4*n + 133. Calculate the remainder when i is divided by n.
30
Suppose -8*j - 181 = -429. Calculate the remainder when 8152 is divided by j.
30
Let u(o) be the second derivative of 5*o**3/6 - 41*o**2/2 - 20*o. Calculate the remainder when u(18) is divided by 117/12 + (-4)/(-16).
9
Let f(s) = -11*s - 18. Let i be f(3). Calculate the remainder when 106 is divided by (-1 - i/9) + 2/(-3).
2
Calculate the remainder when 392 is divided by 15/(-250)*5 + (-819)/(-30).
14
Let z(n) = n**3 + 7*n**2 + 2*n + 8. Let b be z(-7). Calculate the remainder when 284 is divided by 84/2 + 3 + 2 + b.
38
Suppose -71 = 251*u - 253*u + t, u + 3*t - 67 = 0. What is the remainder when 790 is divided by u?
30
What is the remainder when 2212 is divided by (160 - 159) + 110/1?
103
Suppose -174 = -45*b + 324 + 42. Calculate the remainder when 3141 is divided by b.
9
Suppose -104 = -2*o - 4*p, 2*p - 329 + 339 = 0. Let z = 90 - 52. Calculate the remainder when o is divided by z.
24
Suppose -2*y + 55*s = 50*s - 4, y = 5*s + 7. Let f(j) = -9*j**3 + 5*j + 6. Calculate the remainder when f(y) is divided by 24.
18
Suppose 9*x + 15 = 4*x, 5*x - 21 = 2*r. Let p = r + 39. Suppose 17*v - p*v + 36 = 0. Calculate the remainder when v i