Let x = 123 - 121. Suppose 0*h = -x*h + 142. Let w = 0 - -24. What is the remainder when h is divided by w?
23
Suppose q + 4*u - 14 = 2, -4*q = -4*u - 104. What is the remainder when 166 is divided by q?
22
Let r = 32836 + -17487. What is the remainder when r is divided by 8?
5
Let z be 489/4 - 10/(50 - 10). Suppose 0 = -13*n + z + 60. Suppose -4*s + 32 = -0*s. Calculate the remainder when n is divided by s.
6
Suppose 2*y = -4*i + 98, -130 = -5*i - y - 0. Let j(w) = 39*w**2 + 2*w + 1. Calculate the remainder when j(2) is divided by i.
26
Suppose -5*l = -10, -3*i - 5*l = i - 410. Suppose 0 = 4*t - 5*t + 5, 0 = 5*p + t + i. Let x = 46 - p. Calculate the remainder when x is divided by 35.
32
Suppose 0 = 7*h - 7264 - 3691. What is the remainder when h is divided by 194?
13
Let o(q) = -q**3 - 30*q**2 - 109*q - 120. Calculate the remainder when 58 is divided by o(-26).
8
Let t(z) = 51 - 22*z**2 + 3*z - 4 + 4*z**3 - 3*z**3 - 5*z. Calculate the remainder when 11 is divided by t(22).
2
Suppose -a = -6*a + 2*h + 16, 0 = a - 2*h - 8. Let d(i) = -2*i - i**a - 2*i + 6 + 3*i**2. What is the remainder when d(7) is divided by 39?
37
Suppose -6 - 1 = -f. Suppose -f*p + 10*p - 54 = 0. What is the remainder when 105 is divided by p?
15
Suppose 0 = v - 517 + 19. Suppose 4*k = 10*k - v. Calculate the remainder when k is divided by 22.
17
Suppose 0 = -218*v + 78970 - 4414. Calculate the remainder when v is divided by 37.
9
Let q = 1131 + -21. What is the remainder when q is divided by 553?
4
Let i(z) = -2*z**3 + 21*z**2 - 5*z - 7. Let b be 5 + (-1044)/204 - (-155)/17. Calculate the remainder when i(b) is divided by 25.
16
Let q(n) = n**2 - 3*n - 7. Let u be q(5). Suppose u*w + 4*c = 255, 3 + 3 = 2*c. Let i = 2695 + -2653. Calculate the remainder when w is divided by i.
39
Suppose 13*y - 3 = 101. Calculate the remainder when 9 + (-1)/(-2) + (-5)/(-2) is divided by y.
4
What is the remainder when 9 is divided by (-2 + -45*(-1)/24)*-1*8?
0
Suppose -4*r - 13 = 111. Let m = r + 177. Suppose -f - 3*u + 34 = -32, -u - m = -2*f. What is the remainder when f is divided by 15?
12
Let s = -442 - -590. What is the remainder when 1615 is divided by s?
135
Suppose -2*d = 5*d - 14. Suppose -4*y = -5*r + d*r - 7, 3*r + 4*y = 1. Calculate the remainder when (-202)/(-6) + 4/12 + r is divided by 13.
7
What is the remainder when (12 + -5)/7 - (1 - 142) is divided by 131?
11
Suppose -3*m + 3*g + 151 = -2*g, -2*m - g = -92. What is the remainder when (1/5)/(m/87185) is divided by 94?
89
Suppose 4*b = -5*k - 0*b + 90, 0 = 5*b. Let u = -237883 - -237890. What is the remainder when k is divided by u?
4
Suppose -3*z + 66 = -5*f, -2*z - f = -0*z - 44. Let l(a) = -62*a - 195. Calculate the remainder when l(-7) is divided by z.
19
Let t(m) be the third derivative of -m**5/60 + 3*m**4/4 + 13*m**3/6 + 6*m**2. Suppose -44 - 64 = -6*z. What is the remainder when t(z) is divided by 6?
1
Calculate the remainder when 321 is divided by (9 + (-141)/15)*-195.
9
Let w = -124 - 57. Let v = w + 210. Calculate the remainder when 86 is divided by v.
28
Let v(u) = -u + 17. Let m be v(13). Suppose -m*i = -3*b + 301, 2*b + 5*i - 391 = -2*b. What is the remainder when b is divided by 37?
25
Suppose -7980*g - 654 = -7981*g. What is the remainder when g is divided by 65?
4
Suppose -2*c + 406 = -3*n, 5*n + c + 698 = -c. Let o(i) = -523*i + 2773. What is the remainder when o(5) is divided by (4/(-2))/(12/n)?
20
Let d(u) = -u**3 - 45*u**2 - 128*u + 243. What is the remainder when d(-42) is divided by 137?
53
Calculate the remainder when 6/(-10) + 2/(120/10596) is divided by 47.
35
Let v be 11*(-10 - (-2)/(-1)). What is the remainder when ((-30)/4)/(6 + 801/v) is divided by 16?
14
What is the remainder when 535 is divided by ((-28)/(-6) + 0)*((-2916)/14)/(-9)?
103
Let d = 143 - 71. Let v(s) = 4*s**2 - 37*s - 829. What is the remainder when d is divided by v(20)?
10
Suppose 17*x - 15*x = 112. Let d = x + -11. Suppose 2*t - 7*t = -d. What is the remainder when 51 is divided by t?
6
Let r(f) = 3*f**2 + 27 + 27*f - 9 + 19*f + 5*f. What is the remainder when r(-22) is divided by 27?
24
Suppose -4*g + 2399 - 783 = 3*o, 4*g = 4*o + 1616. What is the remainder when g is divided by (-1)/(6 + 1750/(-290))?
27
Suppose 1 = o + 21. Let c be (-12)/(-20) + (-48)/o. Suppose c*g = 4*p - g - 256, 0 = -3*p + 4*g + 188. What is the remainder when p is divided by 23?
22
Suppose -120 = -10*b - 90. Suppose 11*d - 1456 = -b*d. What is the remainder when d is divided by 29?
17
Suppose -647 = -2*j - 67. What is the remainder when j is divided by 130?
30
Let j(m) = m**3 + 3*m**2 - 2*m - 3. Calculate the remainder when j(4) is divided by ((-15502)/(-1685))/((-4)/(-10)).
9
Let b = -935 + 958. Suppose -m + 4*c = -b, -2*c = -3*m + 94 - 35. What is the remainder when 107 is divided by m?
12
Let c = -2503 + 2858. What is the remainder when c is divided by 20?
15
Let q(j) = -2*j**3 + 5*j**2 - 2*j - 13. Let f be q(-3). Suppose -t + f = t. Suppose t*r + 14 = 47*r. What is the remainder when 55 is divided by r?
13
Suppose k - 8 = 7. Calculate the remainder when 10/3*(-5)/(375/(-1215)) is divided by k.
9
Let q = -17 + 38. Let k = 183 + -167. Suppose -t = k*t - 204. What is the remainder when q is divided by t?
9
Let m(s) = 31*s**3 - 241*s**2 - 11*s + 21. What is the remainder when 771 is divided by m(8)?
9
Calculate the remainder when 1789 is divided by (-355235)/575*10/(-7) - (-4)/(-7).
25
Suppose -60 = -15*v + 18*v. What is the remainder when 143 is divided by 0 - v - 20/5?
15
Suppose 5*z - 2*j - 6 = 1, 4*z = 4*j - 4. What is the remainder when z is divided by 216/52 - 4 - (-1147)/403?
0
Calculate the remainder when 9/((450/226 - 2/1)/(-1)) is divided by 31.
25
Suppose -5*q + 11020 = 5*o, -1137*q + 1136*q - 3*o + 2196 = 0. What is the remainder when q is divided by 85?
83
What is the remainder when 1/1*(20 - -126) + -12 + 12 is divided by -5*(-10 + (-1 - -3))?
26
Let o be 7 + -1 + ((-16)/(-4))/(-1). What is the remainder when (-304 - -20)*(1 - o) is divided by 32?
28
Let z = -7789 + 8948. Calculate the remainder when z is divided by 191.
13
Suppose -73*y = 539 - 1123. What is the remainder when 48 is divided by y?
0
Let g(k) = 2*k**2 - 38*k + 105. What is the remainder when g(16) is divided by 3?
0
Let d = 26781 + -26677. Suppose -4*q + 61 = 4*s - 3*q, 2*q = 3*s - 43. What is the remainder when d is divided by s?
14
Suppose 1709*v - 1729*v = -520. Calculate the remainder when 17181 is divided by v.
21
Calculate the remainder when (-1 - (-9)/4)/(28/3248) is divided by 67.
11
Calculate the remainder when (-5223)/(-111) + 16/(-296) is divided by 20.
7
Let i(v) = v**3 + 18*v**2 + 35*v + 48. Let a be i(-16). Suppose a = -9*n + 122 + 58. Calculate the remainder when 54 is divided by n.
14
Suppose -4*t - t + 5*f + 560 = 0, -2*t + 230 = -5*f. Suppose -44 + t = 6*u. Calculate the remainder when 49 is divided by u.
5
Let x(d) = 10*d + 38. Suppose 0 = 4*t + 2*h + 8, 19*t + 4*h = 14*t - 10. What is the remainder when 267 is divided by x(t)?
15
Let g(n) = 26*n**2 + 8*n - 10. Let k be g(5). Let l be (2/4)/((-20)/k). Let h = 47 + l. Calculate the remainder when 119 is divided by h.
29
Suppose 2960*p - 2903*p = 4560. Calculate the remainder when 87 is divided by p.
7
Suppose 4*i = d + 1104, 136*d + 40 = 131*d. What is the remainder when 1376 is divided by i?
6
Let p(j) = j**3 + 7*j**2 + 7*j + 29. Calculate the remainder when p(-6) is divided by 2 - ((-3)/1 + 2)*5.
2
Suppose 0 - 25 = -4*r + 3*n, -3*r - 4*n = 0. Calculate the remainder when 70 is divided by (-14)/r*(-972)/189.
16
Suppose 3*v = 2*f + 115, -v + 19 = -f - 20. Calculate the remainder when 140 is divided by v.
29
Let r(l) = l**2 + 30*l - 650. What is the remainder when r(-53) is divided by 103?
54
Suppose 0*g - 6*g = -422 + 386. Calculate the remainder when 654 is divided by g.
0
Let h = 7191 - 6781. Calculate the remainder when h is divided by 120.
50
Calculate the remainder when 552 is divided by (-2)/(2 - 80/35) + 25/5.
0
Suppose 0 = 2*a + 23 - 115. Suppose -265*y + 300*y = 6300. Calculate the remainder when y is divided by a.
42
Let w = 39310 - 39047. Calculate the remainder when 837 is divided by w.
48
Suppose -141*g - 609 = -162*g. Let o = 123 + -68. Calculate the remainder when o is divided by g.
