Suppose z - 2*m + 104 = 5*z, 2*z - 4*m - a = 0. Let t(h) = h**3 + 5*h**2 + 5*h + 2. Calculate the remainder when z is divided by t(-3).
2
Let v(h) = -h**2 - 10*h + 8. Let t be -4 - 2 - (-4)/(-1). Suppose -4*z + 4 + 12 = 0. Calculate the remainder when v(t) is divided by z.
0
Let i(b) = 1 - b - 10 + 3*b - 3*b. Suppose 8 = c - 4*g, 2*c - 20 = 5*g - g. What is the remainder when c is divided by i(-13)?
0
Let z(a) = -a**2 - 12*a + 85. Calculate the remainder when 244 is divided by z(-16).
13
Calculate the remainder when 3404 is divided by -22 + -20 + 15 + 240.
209
Let n(i) = 10 - i + 5*i - i + 2. Let d be 1*6/(-3) + 6. What is the remainder when n(d) is divided by 13?
11
Suppose t = -t, -b + 330 = t. Suppose -b = 7*r - 17*r. What is the remainder when 160 is divided by r?
28
Suppose 0 = 3*g + 2*g + 20. Let l(w) = 4*w**2 - 4*w - 2. Suppose -5*f = -6*p - 45 - 55, 0 = 4*f - 5*p - 81. What is the remainder when l(g) is divided by f?
8
Calculate the remainder when 66/(-11) - (-1903)/11 is divided by 79.
9
Let n(q) be the third derivative of -q**6/60 + 3*q**5/20 + q**4/6 - 3*q**3/2 - 6*q**2 + 8*q. What is the remainder when 62 is divided by n(4)?
16
Let r = -57 + 58. What is the remainder when -5*6/(-1 - r) is divided by 8?
7
Let s = -274 - -143. Let h = -71 - s. Suppose j = k + 36, -j + 3*j + k - h = 0. What is the remainder when j is divided by 6?
2
Suppose 10*u - 28 = -4*u. Suppose -4*t = -2*f - 102, -5*t + 126 = -6*f + u*f. Calculate the remainder when 283 is divided by t.
23
Suppose 341 = 3*d + 104. Let t = -946 + 1012. Let i = d - t. What is the remainder when 77 is divided by i?
12
Suppose 51465 = 5*y + v, -4*v = y - 13224 + 2912. Suppose y = 119*r - 775. What is the remainder when r is divided by -4*(-7 + -1*1)?
29
Suppose 5*z - 4*z - 18 = -3*x, 5*z + 4*x = 79. Suppose -2*m + 2*d = -46 - 62, -m + 2*d = -51. Calculate the remainder when m is divided by z.
12
Let i be 20/(-25)*(-4)/(32/500). Suppose -i = -54*n + 53*n. Calculate the remainder when n is divided by 28.
22
Suppose -42*o + 28 = -14*o. What is the remainder when 151 is divided by o + (-3 - (-9)/(54/96))?
11
Calculate the remainder when 141 + ((-8)/14)/(4/42) is divided by 42.
9
Let f = -139 - -129. Let h(q) = q + 15. Calculate the remainder when 29 is divided by h(f).
4
Let t(w) = -18*w**3 + w. Let k(a) = -a**3 - 9*a**2 - 33*a - 5. Let d(i) = -6*i**2 + i. Let m be d(1). Calculate the remainder when k(m) is divided by t(-1).
9
Let g = -30235 + 30247. Suppose 5*h = h + 332. Calculate the remainder when h is divided by g.
11
Let t(g) = -16*g - 6. Let m(y) = 5*y + 2. Let c(i) = 7*m(i) + 2*t(i). Calculate the remainder when 29/116*(-316)/(-1) is divided by c(6).
19
Suppose 0 = r + 126 - 120. What is the remainder when 4 + r - (-376 + 1) is divided by 47?
44
Let x(d) = d + 2. Let m be x(2). Suppose 6*f - 6 = m*f. Suppose -o = f - 26. Calculate the remainder when 65 is divided by o.
19
Let t be -1*6/15 - (-164)/10. Suppose -z + 80 = 4*z - 4*q, -5*q + t = z. Calculate the remainder when z is divided by 4.
0
Calculate the remainder when (1/(3/(-6394)))/((-244)/366) is divided by 16.
13
Let n(h) = -2*h**3 - 63*h**2 - 29*h + 99. What is the remainder when 201 is divided by n(-31)?
16
Let x(d) = d**3 + 8*d**2 + 7*d + 5. Suppose -40 = 4*g, 22075*s + 3*g + 122 = 22079*s. Calculate the remainder when x(-6) is divided by s.
12
Let m(v) = 17*v - 65. Let j be m(4). Suppose -a - h + 52 = j*a, a + h - 13 = 0. Calculate the remainder when 36 is divided by a.
10
Suppose 146 = 3*t + 32. What is the remainder when t is divided by (31 + -28)/((-81)/(-13) + -6)?
12
Suppose -17682 = -3*n + 2*j, -582*n - 5901 = -583*n + 3*j. Calculate the remainder when n is divided by 131.
128
Let n be 3/((-18)/(-212))*(-9)/(-6). Let c = n + -36. Suppose -t - t = -10. What is the remainder when c is divided by t?
2
Let t(n) = -n**2 - 8*n + 7. Let j(s) = 1 + 0*s + 16 - 4*s + s. Let c be j(7). What is the remainder when 111 is divided by t(c)?
19
Let u be 251006/18 + ((-70)/45)/(-7). Suppose u - 1709 = 38*f. Calculate the remainder when f is divided by 66.
58
Let r be ((-17)/(-7) + -2)/(17/119). Let l be 20/60 + 5/r. Suppose 2*d - 2 = 0, -l*q - 2*d + d + 103 = 0. Calculate the remainder when q is divided by 26.
25
Let n = 21881 - 20281. Calculate the remainder when n is divided by 146.
140
Suppose -2*v - 35*v = 4*v - 3977. What is the remainder when 5817 is divided by v?
94
Let t be (-5 - -5)/(-2 + 3). Let i be (-4 + t)*(2 + -3). Suppose -i*z = -5*z + 84. Calculate the remainder when z is divided by 22.
18
Let z(u) = -u**2 + 27*u + 271. Calculate the remainder when z(23) is divided by 82.
35
Let c(j) = -2*j**2 + 11*j + 8. Calculate the remainder when c(5) is divided by 8/28 + 188/28.
6
Suppose y - 570 = 5*j, -j - 2280 = -4*y - 0*j. Calculate the remainder when y is divided by 116.
106
Let t = 13 - -3. Let d = -416 + 942. What is the remainder when d is divided by t?
14
Suppose 169*f + 731460 - 6917526 = -305711. Calculate the remainder when f is divided by 137.
134
Let s(b) = 3*b**3 - 4*b**2 + 2*b - 7. Let r(x) = 10*x**3 - 11*x**2 + 7*x - 19. Let u(q) = 2*r(q) - 7*s(q). What is the remainder when 64 is divided by u(6)?
9
Suppose 20*l - 25*l + 10 = 0. Suppose 5*t + 5*u = -35, -3*u + 13 + 16 = -l*t. What is the remainder when 24 is divided by (1 + -4)*(t/3)/1?
4
Let o = 509 - 324. Let g = -292769 - -292796. What is the remainder when o is divided by g?
23
Suppose -19*c = -806 + 293. What is the remainder when c is divided by 18 + (-4)/12*-3?
8
Suppose -y + 1 = 2*l, 4*y - 40*l - 26 = -37*l. Suppose 0 = j + 5*f - 10 - 16, -70 = -y*j + 5*f. Calculate the remainder when j is divided by ((-7)/(-1))/1 + 1.
0
Let v(y) = 104*y - 5. Calculate the remainder when 486 is divided by v(1).
90
Suppose d - 12*d + 693 = 0. Let m = -135 - -82. Let v = m + d. What is the remainder when v is divided by 3?
1
Let s(w) = 21*w + 854 - w**2 - 806 + 11*w**2. What is the remainder when s(-6) is divided by 58?
50
Let k be (-7 - 384/(-60)) + (-23)/(-5). Let g(m) = 7*m**2 + 16*m - 9. What is the remainder when g(k) is divided by 13?
11
Suppose -5*d + 7 = -13. Suppose -9 = d*w - 81. Suppose -35 - 5 = -8*l. What is the remainder when w is divided by l?
3
Let m(y) = 18*y - 30. Let b be m(4). Suppose 0 = -j, 4*j = -0*t - 2*t + b. What is the remainder when 81 is divided by t?
18
Let z(c) = -30*c**2 - 9*c - 16. Let l be z(-3). Let q = -93 - l. Let h(y) = y**2 + 6*y + 7. What is the remainder when q is divided by h(-7)?
12
Suppose 14*t = 21*t - 28. Suppose z + 175 = -t*z. What is the remainder when 125 is divided by (-1110)/z - (-4)/14?
29
Suppose -476 - 1424 = -10*m. Let v = 227 + -179. What is the remainder when m is divided by v?
46
Let f = 35071 - 28638. Calculate the remainder when f is divided by 30.
13
Suppose -39 = -3*x - 3*c, -6*c + 5*c - 147 = -9*x. Calculate the remainder when 119 is divided by x.
7
Let b(k) = -92*k**2 + 2669*k - 20. What is the remainder when (-1 - (-21)/(-9))*-12 is divided by b(29)?
4
Let d(i) = 3*i**2 - i + 4. Let l(r) = r**2 - 2. Let m be l(2). What is the remainder when (-3)/(-2) + (-774)/(-12) is divided by d(m)?
10
Let u(b) = -b**3 - 32*b**2 + 63*b + 255. What is the remainder when u(-34) is divided by 278?
147
Let j(l) = -l**2 + 7*l + 1. Let q(x) = -x + 1. Let t be q(-2). Let d = -75059 + 75066. What is the remainder when j(t) is divided by d?
6
Suppose -3*r + 2*a + 69 = -119, -280 = -5*r - 5*a. What is the remainder when 1799 is divided by r?
59
Let w = 14 - -11. Let k be (-2 - 55/(-20))/(1/(-8)). Calculate the remainder when (470/20)/(-1*3/k) is divided by w.
22
Suppose 3 + 3 = 2*v. Let o be -1 - -6 - (-132 + v). Suppose -o = -7*i + 104. Calculate the remainder when i is divided by 7.
6
Let i = 11 - -2. Let n(z) = -2*z**2 - 14*z - 17. Let g be n(-5). Calculate the remainder when (-1)/(g + 448/(-148)) is divided by i.
11
Let n(w) = -9*w**3 - 145*w**2 + 303*w - 19. Let j be -25 - ((2 - 2) + 2). Let v = -8 - j. Calculate the remainder when n(-18) is divided by v.
16
Let x be ((-272)/(-48))/((-2)/(-36)). Let w(t) = -t + 15. Calculate the remainder when (20/(-110) + x/(-44))*-54 is divided by w(-8).
20
What is the remainder when 988 is divided by (-14529)/(-1002) - 1/(4/(-6))?
12
Let z be (-6)/(-8) + (-40)/(-32) - 109. Let f = 229