 6 - u = -5*h. Calculate the remainder when 58 is divided by h.
4
Let w(z) = z + 32. What is the remainder when 73 is divided by w(-16)?
9
Suppose 6*o = -6*o + 1260. What is the remainder when o is divided by 40?
25
Let b = -17 - -20. Suppose 23 = 2*n + b. Calculate the remainder when n is divided by 6.
4
Let q(v) = 4*v - 22. Let i be 9 - (4 + -11 + 4). What is the remainder when 50 is divided by q(i)?
24
Suppose 4*f - 389 = -3*o, -5*f + 5*o + 594 = 134. Calculate the remainder when 567 is divided by f.
92
Let v(y) = -20*y - 32. Let h = 47 + -37. Calculate the remainder when v(-4) is divided by h.
8
Let p(q) = 2*q. Let k be p(0). Suppose -2*r + a + 19 = k, 7*r - 2*a - 11 = 6*r. What is the remainder when 15 is divided by r?
6
Let s = -630 - -635. Let r = 1 + 17. What is the remainder when r is divided by s?
3
Let f = -31 - -37. Suppose -214 = -4*q - f. Suppose 88 = 5*o + 2*d, o - 3*d + 0*d = 21. Calculate the remainder when q is divided by o.
16
Let v = 317 + -283. What is the remainder when 95 is divided by v?
27
Let l(u) = -22*u**2 - 160*u - 21. Let z = 41 - -21. Calculate the remainder when z is divided by l(-7).
20
Let z be 12/(-8)*(-104)/6. Let s = 43 - 45. Let a = z - s. What is the remainder when a is divided by 10?
8
Suppose 6*l - 5*m = 8*l - 373, -5*m + 25 = 0. Suppose 0 = 4*g - 3*r - 164, -4*r - 48 = -g - 5*r. Calculate the remainder when l is divided by g.
42
Suppose 150 = 21*t - 16*t. What is the remainder when 174 is divided by t?
24
Let x = -1502 + 1582. What is the remainder when 238 is divided by x?
78
Let u(r) = -r + 9. Let n = -7 - -16. Suppose 6*d + n = 9*d. Calculate the remainder when d is divided by u(6).
0
Let i(q) = -q**3 - 7*q**2 - 6*q + 3. Let v be i(-6). Suppose -344 = v*h - 11*h. Calculate the remainder when h is divided by 4/6 + 186/18.
10
Let k be (-6)/(-21) + (-2)/7. Suppose -5 + k = -j. Suppose -j*a - 51 = -4*n, 0 = -n - 2*n + 2*a + 40. Calculate the remainder when n is divided by 8.
6
Let u = 50 - 47. Suppose -g - 2*j + 113 = 0, -g - u*j - 26 + 142 = 0. What is the remainder when g is divided by 22?
19
Calculate the remainder when (34/(-8))/((-1916)/(-240) + -8) is divided by 43.
40
Suppose -2424 = 791*x - 795*x. Calculate the remainder when x is divided by 38.
36
Suppose 0*u + 3*u = 105. Let o = 1811 - 1799. What is the remainder when u is divided by o?
11
Let k = -70 - -100. Let l(c) be the third derivative of -c**5/60 - c**4/4 + 4*c**3/3 - 3*c**2. What is the remainder when k is divided by l(-6)?
6
Let y = -10 + 8. Let h be (y/4)/((-2)/20). Suppose 0 = h*k - 44 - 26. Calculate the remainder when 26 is divided by k.
12
Let m(d) = d**2 + 23*d - 102. Let k = -38 - -66. Suppose 1 = -3*y + k. Calculate the remainder when y is divided by m(4).
3
Let x(q) = q**3 - 8*q**2 - 7*q - 7. Calculate the remainder when 26 is divided by x(9).
4
Let o = -24 + 29. Suppose -o*q = 0, -5*q - 102 = -4*f + f. What is the remainder when 99 is divided by f?
31
Let i(n) = 2*n**3 - 104*n**2 - 108*n + 181. Suppose -4*y + 0*y + 44 = 0. What is the remainder when i(53) is divided by y?
9
Let t = 265 + -261. Calculate the remainder when 14 is divided by t.
2
Let o be ((-12)/(-8))/((-6)/40). Let w be (-2 + o)/(-4) - -22. Suppose 3*i = -2*i + w. Calculate the remainder when 9 is divided by i.
4
What is the remainder when (-3120)/(-80) + (1 - (-3)/(-1)) is divided by 13?
11
Let v(i) = -i**2 + 11*i + 1. Let c(k) = -6 + 0*k + 3*k**2 + 4 - 32*k. Let d(r) = 6*c(r) + 17*v(r). What is the remainder when 18 is divided by d(5)?
3
Suppose -67 = -4*m + 3*l, m + 0*m - 34 = -5*l. What is the remainder when 226 is divided by m?
17
Suppose 40 = k - 5*k. Let p be 2/(-5) + 106/k. Let t = 18 - p. Calculate the remainder when 56 is divided by t.
27
Calculate the remainder when 82 is divided by (62/4)/((-18)/(-36)).
20
Let v be (-1)/3 + (-40)/(-12). Suppose 4*x - 2 = 26. Let j = x + v. Calculate the remainder when 27 is divided by j.
7
Let b be (-430)/(-4) - (-7)/14. Suppose -3*g - g + b = 0. What is the remainder when 6/g + 250/9 is divided by 15?
13
Suppose -3*t + 399 = -2*d, -2*t + 10 + 237 = 5*d. Calculate the remainder when t is divided by 45.
41
Let m = 3 - 0. Suppose -4*x - 91 = 2*t - 13, -3*t = -4*x - 83. Let r = x + 24. Calculate the remainder when r is divided by m.
1
Let y be (-4)/(-6) + (-42)/(-18). Suppose -5*m = -y*i - 2*i + 95, -53 = -3*i - m. Calculate the remainder when ((-3)/4)/((-11)/484) is divided by i.
15
What is the remainder when ((-4)/20)/(1 - (-9702)/(-9695)) is divided by 70?
67
Let u(w) = w**3 + 11*w**2 + 10*w. Let a be u(-10). Let p be -11*(-2 + a + 1). Suppose 39 = -p*s + 14*s. Calculate the remainder when 23 is divided by s.
10
Suppose -6*i + 9 = -9. Let t(a) = 3*a**3 + 4*a**2 - a + 4. Calculate the remainder when t(i) is divided by 24.
22
Let y(n) = -14*n + 6. Let j be y(-2). Suppose j*w - 68 = 32*w. Let s = 381 + -247. What is the remainder when s is divided by w?
32
Let g(s) = s**2 + 16*s + 82. What is the remainder when 38 is divided by g(-8)?
2
Let i be 12/(-8) + (-6)/(-4). Suppose -h + 2 = -i. Suppose 6*b = -h*s + b - 7, -b = -s + 7. Calculate the remainder when 14 is divided by s.
2
Suppose -3*a + 818 = 2*w, 3*w + 177 = a - 81. Calculate the remainder when a is divided by 39.
36
Suppose 4*z + z + 30 = 5*v, -10 = 3*z + 5*v. Let o(c) = 2*c**2 - 14*c + 5. Calculate the remainder when o(z) is divided by 14.
13
Suppose 3*n + 5*i = -14, -n - i - 2 = -0*i. Let z(y) = y**2 + 7*y - 9. What is the remainder when z(-11) is divided by n/11 - (-650)/55?
11
Let b = -26 + 28. Suppose -b*t - 10 = -14. Calculate the remainder when t is divided by 2.
0
Let h = -2798 + 1646. Let p be (h/54)/(2/(-75)). Calculate the remainder when 77 is divided by 4/(-6) - p/(-30).
25
Suppose -18*b - 151 = -19*b. Suppose 0 = -3*o - f + b, 2*f - 52 - 100 = -3*o. Calculate the remainder when o is divided by 13.
11
Let v(w) = w**2 - 15*w + 16. Let m be v(13). Let k = -7 - m. Suppose 5*z + 0*y + 4*y = 53, -5*z + k*y + 39 = 0. What is the remainder when 35 is divided by z?
8
Let b = 35 - 30. Let m be (-13)/(-3) - 16/(-24). Suppose m*h - 46 = 44. Calculate the remainder when h is divided by b.
3
What is the remainder when 6/(-7) + 370695/273 is divided by 20?
17
Suppose -48*i + 593 = -703. Calculate the remainder when 150 is divided by i.
15
Suppose -4*w - 3*t + 68 = 0, w - 17 = -2*t - 0*t. Let d(y) = -36*y - 139. What is the remainder when w is divided by d(-4)?
2
Let x be 36/66 + (-336)/132. Let j(i) be the third derivative of -i**6/40 - i**5/60 + i**4/24 + i**2. What is the remainder when j(x) is divided by 7?
4
Let c(n) = n**2 - 1. Let x(f) = -4*f**2 + 9*f - 10. Let s(u) = -5*c(u) - x(u). What is the remainder when 88 is divided by s(-8)?
19
Let c(u) = -12*u + 1. Let n(b) = -b + 4. Let z be n(3). Suppose 2*f - z = 2*i + 1, -5 = 5*f. What is the remainder when c(i) is divided by 13?
12
Let s = 3 - -28. Calculate the remainder when 86 is divided by s.
24
Let u = -721 - -839. What is the remainder when u is divided by 17?
16
Suppose -5*q - 3*p - 851 = 0, -6*q + 5*p = -2*q + 703. Let t be 12/(-18) - q/(-3). What is the remainder when 20 is divided by t/(-8) + 7/(-28)?
6
Suppose 0 = -10*z + 3906 - 1356. What is the remainder when z is divided by 37?
33
Let p be 6/(-3) + (-51)/(-3). Suppose 4*x - 67 = -p. Suppose -87 = -2*t - x. What is the remainder when t is divided by 20?
17
Suppose 37 = 2*j - 17. Suppose -4*v + j = -v. What is the remainder when 21 is divided by v?
3
Let g = 82 - 87. What is the remainder when 3 + 0/((-10)/g) is divided by 2?
1
Let h(i) = -3*i - 12. Let d be h(-12). Suppose 0 = 88*w - 90*w + d. Calculate the remainder when (114/(-8))/((-3)/12) is divided by w.
9
Suppose -3*u - 973 = -5*w, 0 = 17*u - 19*u + 8. What is the remainder when w is divided by 18?
17
Let l(z) = -3*z**2 + 50*z + 44. What is the remainder when 109 is divided by l(17)?
1
Let f(t) = -26*t - 111. What is the remainder when f(-14) is divided by 32?
29
Let y(k) = 13*k. Suppose -m - 5 = -5*v + 23, 2*m + 1 = -v. Calculate the remainder when y(2) is divided by m/(-15)*5 + 13.
12
Let q(f) = 4*f**2 - 2*f + 4. Let b(s) = 5*s**2 - 3*s + 5. Let x(v) = 3*b(v) - 4*q(v). Let z be x(-2). What is the remainder when 29 is divided by z + 1 + 5 + 5?
5
Calculate the remainder when ((-380)/(-