 is the remainder when k is divided by 17?
10
Suppose 49*j = 137*j - 4488. Calculate the remainder when 1934 is divided by j.
47
Let a = 2712 - 2561. What is the remainder when a is divided by 38?
37
Let t(z) = z**2 - z - 124. Suppose a + c = 4 + 4, -c = -5*a + 64. Calculate the remainder when 199 is divided by t(a).
7
Let m = -10823 - -11018. What is the remainder when 3104 is divided by m?
179
Let o(s) = 425*s - 1995. Calculate the remainder when o(68) is divided by 28.
25
Let b = 90 - 86. Suppose d + 2 = p + 15, 70 = b*d + 5*p. Calculate the remainder when 40 is divided by d.
10
Let m = 384 + -372. Let j(s) = -15*s + 375. Calculate the remainder when j(m) is divided by 11.
8
Suppose -561*j - 28216 = -569*j. Suppose -u + j = 3*p, p + 2*u - 694 = 485. Calculate the remainder when p is divided by 49.
48
Let q(x) = x**2 + 9*x - 34. Let o = -152 - -160. What is the remainder when q(o) is divided by 15?
12
Let w(l) = 13*l - 288. Let x(q) = 3*q - 72. Let c(p) = 2*w(p) - 9*x(p). What is the remainder when c(-15) is divided by 30?
27
Suppose 2*k + 26 = 4*k. Let g = -24331 - -24445. What is the remainder when g is divided by k?
10
Let f(c) be the third derivative of -29*c**4/24 - 103*c**3/6 + 8*c**2 - 1. Calculate the remainder when f(-9) is divided by 10.
8
Let g = 24 - 53. Let r be ((-25)/55 - -1) + (-6384)/(-154). Let h = r + g. Calculate the remainder when 50 is divided by h.
11
Suppose -4*s = -4*h + 336, s - 36 = -3*h + 208. Suppose 13*n - 14*n = -70. Calculate the remainder when h is divided by (-10)/(n/(-21)) - -25.
26
Let z(x) = -104*x - 98. Suppose -3*y + 5*y = 4. What is the remainder when z(-1) is divided by y?
0
Let f(d) = 26*d**2 + d + 398. Let a be f(0). Suppose -t + 2*p = -64, 88 = -5*t + 5*p + a. Calculate the remainder when t is divided by 2.
0
Let f = -182 + 272. Let s(o) = -79*o - 1950. Calculate the remainder when f is divided by s(-25).
15
Let p(q) = 294*q + 1812. Calculate the remainder when 17085 is divided by p(-6).
45
Let v = -48 + 79. Let k(b) = 2*b**2 - 54*b. Let q be k(27). Suppose 3*h - 4*n - 36 = 0, h + q = -n + 5. What is the remainder when v is divided by h?
7
Let c = 38435 + -28048. Calculate the remainder when c is divided by 53.
52
Let r = 38 + -29. Calculate the remainder when 352/9 - 1/r is divided by 22 + (-7 + 3)/4.
18
Let h = -647 + 812. Suppose -h = -42*o + 31*o. What is the remainder when 262 is divided by o?
7
Suppose -p = 5, 3*c - 5*p = 6*c - 164. What is the remainder when (8/2)/((-1419)/(-471) + -3) is divided by c?
62
Let l(b) = -22*b + 11*b + 12*b. Suppose -3*d - 63 + 162 = 0. What is the remainder when d is divided by l(6)?
3
Suppose 0*m - m = 5, -o - 12*m + 698 = 0. Calculate the remainder when o is divided by 59.
50
Let l = 31023 - 30985. Calculate the remainder when 110 is divided by l.
34
Let d = 2040 + -1899. Let v(i) = i + 8. Calculate the remainder when d is divided by v(8).
13
Let q(o) = o**2 - 6*o - 26. Let a = 339 + -329. What is the remainder when 64 is divided by q(a)?
8
Let t(n) = n**3 - n**2 + 5*n. Let c be 4 - (6/(-27) + 22/18). Calculate the remainder when t(c) is divided by 17.
16
Let n(l) = -22*l - 135. Suppose 10*q + 63 = -27. What is the remainder when n(q) is divided by 16?
15
Suppose 0 = -1534*f + 1529*f + 845. Calculate the remainder when f is divided by 24.
1
Let q = 225968 - 225961. Let m(z) = z**2 - 6*z + 5. Let h be m(8). Suppose -p = -3*o - h + 145, 0 = -3*p - 12. What is the remainder when o is divided by q?
5
Let z(l) = -32*l**3 - l**2 + 2*l + 9. Let u be z(-4). Suppose -1537 = -35*h + u. What is the remainder when h is divided by 15?
12
Let w = 44 - 44. Suppose w*b - 33 = -b. Suppose -g - 5*d + 50 + b = 0, 0 = -4*g - 4*d + 268. What is the remainder when g is divided by 22?
19
Calculate the remainder when ((-4708)/(-22) + -1)*(1 - -1) is divided by 15.
6
Let t be (-5)/(-4 - -5) + (-9 - -4). Calculate the remainder when 241*9/(-12)*(t - -6) is divided by 33.
30
Let s be -1 + 4 + (-4 - (-1 + 0)). Suppose 2*o + y + 28 = 246, -5*y = s. Let l = -94 + o. Calculate the remainder when 146 is divided by l.
11
Suppose 0 = -3*f - 3*n + 105 - 33, n = f - 32. What is the remainder when 217 is divided by f?
21
Suppose -2*a + 42 = -5*w - 183, 492 = 4*a + 4*w. Calculate the remainder when 1198 is divided by a.
118
Let u be (-70)/2*-1 + -2. Let f be u*(-4)/48 - 6/(-8). Calculate the remainder when 29 is divided by f/(1 - 5)*(0 - -12).
5
Let f(m) = -94*m**2 + 197 + 95*m**2 + 8 + 36*m + 109. What is the remainder when 60 is divided by f(-24)?
8
Let c(f) = f**3 - 41*f + 35. What is the remainder when 452 is divided by c(0)?
32
Suppose 104*q + 5 = 99*q. Calculate the remainder when 425/(-15)*q/(10/12) is divided by 4.
2
Let s(w) = -175*w + 180. Calculate the remainder when 29 is divided by s(1).
4
Suppose 4*c - 3*w = 35, c + 3*w - 6 + 1 = 0. Let z(x) = 11*x - 25. What is the remainder when z(c) is divided by ((-4)/12)/((-2)/198)?
30
Let o = -817 + 897. Suppose g = -a + 14, 5*a - 128 = -3*g - o. Calculate the remainder when 702 is divided by g.
9
Suppose 32*p - 278 = -11*p - 20. What is the remainder when 570 is divided by p?
0
Suppose 8935 + 51237 = 16*b - 5268. What is the remainder when b is divided by 32?
26
Suppose -m - 19*d + 861 = -16*d, 2*m + 2*d - 1714 = 0. Calculate the remainder when m is divided by 142.
3
Suppose -j - 4*a = 3*j - 1952, j - 492 = -5*a. Let t = 647 - j. Calculate the remainder when t is divided by 44.
28
Suppose 2*g + 3*h = -33, 5*g + 0*h = 2*h - 35. Let l be (10/(-15)*-4)/((-6)/g). Calculate the remainder when 55 is divided by -4 + 3 + 17 - l.
7
Suppose -p + 217 = 3*i, 42*i - 37*i = p + 343. What is the remainder when 3847 is divided by i?
67
Let x(h) = -h**2 - 90*h + 1595. Calculate the remainder when 2669 is divided by x(15).
9
Suppose -42*j + 31*j + 308 = 0. Calculate the remainder when 189 is divided by j.
21
Let k be (-16)/(80/75)*(-2)/2. Calculate the remainder when 137 is divided by 528/k - (6 - (-29)/(-5)).
32
Let l(h) = -192*h - 1. Let v be l(2). Let r = v - -420. Calculate the remainder when r is divided by 13.
9
What is the remainder when (450/(-120))/(4/(-656)) is divided by 35?
20
Suppose -5*p + 10 = 0, 2*p - 8 = -3*a + a. What is the remainder when 420 is divided by a?
0
Let i(j) = -j**3 + 42*j**2 - 81*j + 43. Let o(z) = z**2 + 13*z + 10. Let b be o(-15). What is the remainder when 27 is divided by i(b)?
0
Let z(n) = -n**3 - 2*n**2 + 9*n + 5. Let x be z(-4). Let l be 53 + 1 + x + -1 + 1. Suppose -l = -6*m + 5*m. What is the remainder when m is divided by 19?
17
Let d(c) = -c**3 - c**2 + 2*c - 1. Suppose 74*o - 69*o = 100. Calculate the remainder when d(-3) is divided by (-17)/(-51) - o/(-3).
4
Let i = -2870 - -2907. Suppose 0 = 2*m + 4*q - 36, -m = -4*m - 4*q + 56. What is the remainder when i is divided by m?
17
Let n be -5 + -91*(2 - 9)*1. Let s = -599 + n. Calculate the remainder when 360 is divided by s.
30
Let w(q) = 120*q - 13. Let j be w(-4). Suppose -8*t + 732 = -332. Calculate the remainder when t is divided by j/(-11) + (-4)/(-22).
43
Let i = 420 - 417. Suppose -i*g + 2*q = q - 888, -2*q = 6. What is the remainder when g is divided by 19?
10
Suppose -151*b = 90*b - 5561 - 3356. What is the remainder when 214 is divided by b?
29
Suppose -2*k + 78 = 2*f, 10*f = 4*k - 0 - 44. Let j = 16 + -8. Let p = j - -52. Calculate the remainder when p is divided by k.
29
Let w(z) = -z**2 - 10*z - 8. Let k be w(-6). Suppose -3*b + 61 = k. Calculate the remainder when 411 + -404 - -1*17 is divided by b.
9
Suppose 6*s - 11*s - 3*a = -367, -136 = -2*s - 3*a. What is the remainder when 215 is divided by s?
61
Suppose 0 = -5*g + 5*w + 3420, -366 - 306 = -g - 5*w. Let m = g - 514. Calculate the remainder when m is divided by 34.
32
Let f(q) = -q**3 + 46*q**2 - 86*q - 60. Calculate the remainder when 50 is divided by f(44).
22
Let y(a) = -61*a - 116. Let r(j) = -12*j - 23. Let i(o) = 11*r(o) - 2*y(o). What is the remainder when 20 is divided by i(-3)?
2
Suppose -5*b = -15*t + 14*t - 198, 0 = -t + 7. Calculate the remainder when 271 is divided by b.
25
Let r(d) = 6*d - 16. Suppose 0 = 5*z + 50 - 65. Let u be r(z). What is the remainder when 24 is divided by (-550)/(-35) + (u - 12/7)?
8
Let v(s) = -s**3 - 51*s**2 + 215*s - 160. Calculate the remainder when v(-55