 -1928 = 10*x - 2768. What is the remainder when 839 is divided by x?
83
Suppose 0 = a - 4*p - 11, -4*p + 8 = -12. Let m = 32 - 28. Suppose m*u = 196 + 40. Calculate the remainder when u is divided by a.
28
Let s(x) be the second derivative of -3*x**5/20 - 7*x**4/6 - 2*x**3/3 - 19*x**2/2 + 6*x + 2. What is the remainder when 108 is divided by s(-5)?
4
Calculate the remainder when 118/((-51)/18 + (2 - (1 - 2))) is divided by 79.
76
Suppose -1496 = -4*u + 552. Suppose -13*g + u + 242 = 0. What is the remainder when g is divided by (8/(-6))/((-4)/90)?
28
Let k = -15 + 63. Let v = 15 - 13. Suppose -68 = -6*j + v*j. Calculate the remainder when k is divided by j.
14
Let p be ((-6)/(-18))/(4/84). Suppose h = p*h - 642. What is the remainder when h is divided by 14?
9
Suppose 66*m - 5099 - 1965 = -1520. What is the remainder when 316 is divided by m?
64
Suppose 0 = 46*l - 44*l - 56. Let r = -23 + l. Suppose -143 = -r*g + 162. Calculate the remainder when g is divided by 21.
19
Let k = -4567 + 5718. Calculate the remainder when k is divided by 129.
119
Let v(m) = -m**3 - 5*m**2 - 5*m - 26. Let s be v(-5). What is the remainder when 13 is divided by (-18)/(-2) - (s - -2 - 0)?
5
Suppose 5*n + 4 = 29, 63 = -4*g + 3*n. Calculate the remainder when (-9)/36 + ((-459)/g - 2) is divided by 19.
17
Let b = -208 - -234. Suppose 0 = b*f - 23*f - 195. What is the remainder when f is divided by 6?
5
Let s = -672 + 669. Calculate the remainder when 340 is divided by 2*(13 - s) + 6.
36
Suppose 0 = 116*v - 6166 - 1026. Calculate the remainder when 1287 is divided by v.
47
Suppose 6*w - 536 = 1174. Suppose 0 = -7*z + w + 352. Let m = z - 79. Calculate the remainder when 16 is divided by m.
4
Suppose -52086 + 17646 = -7*q. Suppose q = f + 23*f. What is the remainder when f is divided by 16/2*13/2?
49
Let w(v) = 6*v**2 - 8*v - 3. Let b be w(4). Let j = 103 - b. Suppose -3*s + 120 = 3*r, -5*r - 102 = -3*s + j. Calculate the remainder when s is divided by 15.
13
Suppose -2 - 16 = -2*c. Let m(z) be the first derivative of z**2/2 + 29*z + 1088. Calculate the remainder when m(c) is divided by 10.
8
Let x(i) be the second derivative of -i**5/20 - 7*i**4/12 - 13*i**3/6 - 6*i**2 + 82*i. Calculate the remainder when 19 is divided by x(-5).
1
Suppose -5*a + 325 = -4*l, l - 3*l - 195 = -3*a. Let p(y) = -37*y**2 + 937*y - 289. Calculate the remainder when a is divided by p(25).
10
Let s be 0/(-4) + 33/1. Suppose 2*v - s = -1. Let x(f) = -f**3 - 8*f**2 + 12*f - 1. What is the remainder when x(-10) is divided by v?
15
Let g(m) = 3*m**2 + 37*m + 3. Let n = 306 - 289. Calculate the remainder when g(-13) is divided by n.
12
Suppose -2*f = 2*v + 16, -5*f + 18 = 4*v + 48. Let t(p) = -5*p - 11 + 11 - 12 - 18. Calculate the remainder when 55 is divided by t(v).
15
Suppose 13273 = 29*q - 14*q - 7577. What is the remainder when q is divided by 13?
12
Let l(k) = 19*k**2 - 47*k - 344. Calculate the remainder when l(-7) is divided by 48.
4
Suppose m = -5*m. Suppose m = -2*a - 4, -2*a + a - 10 = -w. Suppose -96 = 4*z - w*z. Calculate the remainder when 71 is divided by z.
23
Let c(d) = d**2 + 5*d + 6. Let r be c(-3). Suppose i - 3*i + 428 = r. What is the remainder when i is divided by ((-84)/16)/(-7) + (-676)/(-16)?
42
Let p(r) = r + 5. Let c(h) = 6*h + 22. Let b(l) = -6*c(l) + 33*p(l). What is the remainder when 500 is divided by b(5)?
14
Calculate the remainder when (70/(-21) + 3)/(2/(-1212)*1) is divided by 49.
6
Suppose -15*u = -6*u - 2457. Suppose u = -5*s + 1013. What is the remainder when s is divided by 6?
4
Let u(q) = -q + 9. Suppose -f = -0*f + 19. What is the remainder when u(f) is divided by 22?
6
Suppose -5*r - q = -1416, 0 = 21*q - 16*q - 30. Calculate the remainder when r is divided by 3.
0
Let a(q) = -2*q**2 + 87*q - 442. Calculate the remainder when 657 is divided by a(37).
33
What is the remainder when ((-16)/(-56))/(40/(-35)) + (-4994)/(-8) is divided by 106?
94
Suppose 0 = 189*i - 187*i - 6. Suppose l + i*t = 4 + 2, -5*t - 12 = -2*l. Calculate the remainder when 10 is divided by l.
4
Let d(j) = 3*j + 46. Let t be d(6). Let v = t - 40. What is the remainder when 334 is divided by v?
22
Let s be (-27)/9 - (742/(-2) + 1). What is the remainder when 1/(-11 + 13) + s/2 is divided by 24?
16
Suppose 4*d - 4*x - 848 = d, 3*d - x = 860. What is the remainder when d is divided by 140?
8
Suppose -492 = -5*o - 2*c, 7*c - 108 = -o + 5*c. Calculate the remainder when 679 is divided by o.
7
Suppose 2*n + 39 - 87 = 0. Suppose -r = 5*g - 161, -2*r - 4*g + 333 = -5*g. Calculate the remainder when r is divided by n.
22
Suppose -3*t - 1 = -2*k - 0*k, -5*k - 4*t = -60. Suppose -4*o = 5*u - 410, 0 = -3*o - 15. Calculate the remainder when u is divided by k.
6
Suppose -5*a - 20 = 0, 45*a + 33 = 5*z + 48*a. Calculate the remainder when 1731 is divided by z.
3
Let d(j) = 2*j**2 + 37*j + 60. Let z be d(-20). Suppose 6*b = 10*b - z. Calculate the remainder when 206 is divided by b.
26
Let k(c) = 12*c + 618. What is the remainder when k(-26) is divided by 55?
31
Let f = -123 + 146. Let q(r) = -175*r**3 - 3*r**2 - 10*r - 8. What is the remainder when q(-1) is divided by f?
13
Let d(j) = j**2 + 28*j + 67. Let s be d(-25). What is the remainder when 44 + (s/10)/(58/145) is divided by ((-44)/8)/((-1)/2)?
9
Let v be ((-3)/(-12))/(-1) - (-62)/(-8). Let b = v + 16. Calculate the remainder when 8/(-2) + 20 + -3 is divided by b.
5
Suppose 150*j + 570 = 312*j - 152*j. Calculate the remainder when 10486 is divided by j.
55
Let c(s) = -5*s**2 - 2*s + 61. What is the remainder when 436 is divided by c(0)?
9
Let a = 4673 + -4553. What is the remainder when a is divided by 47?
26
Calculate the remainder when -52*(4 + -6)*1 is divided by (40 + -39)*(-1 + 18 + -2).
14
Let t(w) = -30*w**3 + 2*w**2 - 2*w - 3. Suppose 7*m - 8*m = 4*x + 2, 10 = 5*m. Calculate the remainder when 80 is divided by t(x).
18
Let u = 1636 - 1322. What is the remainder when u is divided by 143?
28
Suppose -2*x = -4*q - 16, q + 11 = -x + 5*x. Let p be (-2)/q - ((-2184)/18)/13. Suppose p*z = 71 + 109. Calculate the remainder when z is divided by 5.
3
Let h(x) = 26*x + 850. What is the remainder when h(-27) is divided by 72?
4
Suppose 5*j + 3*c = 117, -3*c + c + 113 = 5*j. Let a = 95 + -90. Suppose -5*g + 2*f = a*f - 69, -27 = -2*g - f. Calculate the remainder when j is divided by g.
9
Let f be 1*9 + (156/13)/(-4). Suppose -3*q + f = 0, 11*z = 16*z - 5*q - 650. Calculate the remainder when z is divided by 27.
24
Suppose -4*u + 3*c - 51 - 39 = 0, 3*c = 5*u + 114. Let o be 335*1/2*(-22 - u). Let t = -198 + o. Calculate the remainder when t is divided by 35.
32
Let m = -9 - -10. Suppose -29 = 19*d - 20*d. Calculate the remainder when (-1)/(m/112*-1) is divided by d.
25
Let v = 290 - 310. Calculate the remainder when -16*(3 - (-65)/v) is divided by 1.
0
Suppose -5*k + 1747 - 157 = 0. What is the remainder when k is divided by 176?
142
Let s(c) = 9*c**2 - 9*c - 44. Let g(o) = o**2 - 2*o + 1. Let f(v) = -14*g(v) + 2*s(v). Calculate the remainder when f(8) is divided by 17.
13
Let c(j) = 18*j**2 + 4*j + 8. Let y = -103 - -101. Let v = 6 - -9. What is the remainder when c(y) is divided by v?
12
Let v be (120/(-21))/(-2) + 3/21. Suppose -v*l + 8*l + 11 = -4*j, l + 3 = 0. What is the remainder when 38 is divided by 22 - j/(20/8 - 2)?
18
Suppose 9 = -9*g + 63. Suppose -g*p + 388 + 56 = 0. Calculate the remainder when p is divided by 27.
20
Let v(f) = -f**2 + 60*f + 724. What is the remainder when 911 is divided by v(70)?
23
Let z = 14659 - 13510. Calculate the remainder when z is divided by 12.
9
Let r = 5018 + -4973. What is the remainder when 491 is divided by r?
41
Suppose 2*v = 34 + 6. What is the remainder when v is divided by 0*(-6)/(-42) + 15/((-90)/(-84))?
6
Suppose -j = -2*q - 9, -q + 0 - 5 = -j. Suppose 69 = -5*t - 26. Let l = q - t. Calculate the remainder when 57 is divided by l.
12
Suppose -3106*r + 2997*r + 6418792 = 0. Calculate the remainder when r is divided by 15.
13
Suppose 0 = -236*b + 225*b - 623 + 4440. Calculate the remainder when b is divided by ((-261)/6)/((-3)/4).
57
Let o be ((-165)/10 + -6)/(3/(-8)). What is the remainder when 123 is divided by 1/((-6)/o)*10/(-4)?
23
Let b = -166 + 168. Suppose k = 4*t - 99, 4*t - 6*k - 96 = -b*k