 the remainder when n is divided by 143.
27
Suppose 0 = -y + 2, 2*w - 8 - 14 = -5*y. Calculate the remainder when 27 is divided by 0 + w - (-11 + -4).
6
Suppose -34 = 37*g + 3. Calculate the remainder when 477 is divided by 1*(65/26)/(g/(-24)).
57
Let f be ((-60)/25)/((-4)/1620). Let x = f - 768. Calculate the remainder when x is divided by 41.
40
Let k(v) = -573 - 8*v + 273 + 275. Suppose 89 = 5*p - 4*y, -2*y + 3*y + 86 = 5*p. What is the remainder when k(-7) is divided by p?
14
Suppose 5*g - 3 = 4*v, -5*g + 4*v = -g. Let z be ((-264)/(-20))/(g/(-10)). Let x = z + 47. Calculate the remainder when 9 is divided by x.
0
Suppose 0 = 7*p - 0*p - 105. Let m = 4 + p. Calculate the remainder when -1 - 6/(-4) - (-666)/12 is divided by m.
18
Let r be (-14)/4*352/4. Let l be r/(-33) + 4/6. Let s = 24 + l. Calculate the remainder when s is divided by 9.
7
Let w(c) = -17*c - 1 + 79*c - 151*c. What is the remainder when w(-1) is divided by 15?
13
Let a(u) = u**3 + 22*u**2 + 31*u + 52. Let j(w) = -w**3 - 22*w**2 - 31*w - 53. Let d(m) = -5*a(m) - 6*j(m). What is the remainder when d(-20) is divided by 19?
10
Let p(o) = -o**2 - 12*o + 69. Let x be p(-16). Suppose -v + 16 = -x*d + 103, 3*d = -3*v + 45. Calculate the remainder when d is divided by 4.
1
Let h = -8 - -15. Let p be 6/(-30) - -187*(-12)/(-20). Suppose -4*x = -76 - p. Calculate the remainder when x is divided by h.
5
Let x = -21 - -49. Let c be (-3)/(-12)*14 - (-1)/2. Suppose 2*j - 222 = 4*y, -5*y = -c*j - 7*y + 434. Calculate the remainder when j is divided by x.
25
Let b(v) = -4*v + 161. Let j be b(39). Suppose 165 = j*c + 25. Calculate the remainder when 105 is divided by c.
21
What is the remainder when -2 - -150 - (-392)/(-28) is divided by 31?
10
Calculate the remainder when (-1485)/(-126)*31885/10 - (-3)/12 is divided by 38.
35
Let r(t) = t**3 + 20*t**2 + 20*t + 24. Let i(g) = -25*g + 31. Let o be i(2). What is the remainder when 56 is divided by r(o)?
1
Suppose 75*j - 99 = 64*j. Suppose 0*g - g = -3*y + 85, g = -y + 23. What is the remainder when y is divided by j?
0
Let t(w) = 79*w + 18. Let f be t(1). Let y = -84 + f. Calculate the remainder when 87 is divided by y.
9
Let u(o) be the second derivative of 3*o**5/20 + 9*o**4/2 + 5*o**2/2 - 100*o. What is the remainder when 21 is divided by u(-18)?
1
Let j be (8/(-5))/(0 + (-10)/(-25)). Let v(k) = -2*k - 15. Calculate the remainder when 196/16 - 3/j - 2 is divided by v(-9).
2
Let j(s) = -89*s**2 + 30*s - 61. Let i be j(2). Let v = i - -363. Suppose 3*c = -5*x + 101, -3*c - 6 = -c. What is the remainder when x is divided by v?
4
Suppose -2850 = 10*v + 5880. Let p = -816 - v. Calculate the remainder when p is divided by (0 - 1) + 1 - -20.
17
Let i(j) = 4661*j - 936. Calculate the remainder when i(1) is divided by 16.
13
Let j = 5 + -4. Let b(a) = a**2 + 29*a + 109. What is the remainder when b(0) is divided by 5*(1 + 1/j)?
9
Suppose 0 = 5*p - 128 - 92. Suppose -h - p = 17. Let l = h - -91. Calculate the remainder when 118 is divided by l.
28
Suppose -4*l - 1 = b - 67, 21 = l - 2*b. Let y = -3090 + 3239. Calculate the remainder when y is divided by l.
13
Let v(w) = -10*w**2 - 281*w - 1708. Let l(s) = s + 114. Let x(h) = h + 113. Let y(z) = 6*l(z) - 5*x(z). Calculate the remainder when y(0) is divided by v(-9).
9
Let t(k) = 116*k**2 + 37*k + 118. What is the remainder when t(-5) is divided by 258?
253
Calculate the remainder when 43 is divided by (-1 - -37)*(-83)/(-332).
7
Let c be 9 + (3/4)/((-5)/20). Suppose c*v - 84 = 4*v. What is the remainder when 123 is divided by v?
39
Let s(i) = -i**3 - 21*i**2 - 41*i - 61. Let f be s(-19). Calculate the remainder when 114 is divided by (f/((-12)/5))/((-11)/(-198)).
24
Let k(d) = -d**3 + 13*d**2 - 26*d + 33. Let x = -447 + 456. Calculate the remainder when k(x) is divided by 17.
4
Let h(t) = 2*t**3 + 32*t**2 - 4*t + 4. Let u be h(-16). Suppose -4*k = a - 186, u + 20 = 2*k + 3*a. Calculate the remainder when k is divided by 35.
12
Calculate the remainder when ((-36615)/25)/(3 - 264/(-400)*-5) is divided by 47.
41
Let r = -80 + 119. Let m = -152 - -167. Suppose 2*b = 3*f - 39, -f + 11*b - m*b - 1 = 0. What is the remainder when r is divided by f?
6
Let l = 3 + 22. Suppose l*y - 84 = 24*y. What is the remainder when -2 + -1 + 6/6 + y is divided by 42?
40
Suppose -15990 = -119*c - 116*c + 30*c. What is the remainder when 201 is divided by c?
45
Suppose 6*g - 12 = 3*g, 10900 = 4*y + g. What is the remainder when y is divided by 27?
24
Let r = -9 - -15. Suppose 4*o - 28 = -4*m, 5*m + 19 = r*m + 5*o. Suppose x - 35 = -3*n + n, -4*n + 76 = -m*x. Calculate the remainder when 125 is divided by n.
17
Let s = 31518 - 11020. What is the remainder when s is divided by 50?
48
Suppose -145*w + 5910 + 470 = 0. Calculate the remainder when 22922 is divided by w.
42
Let z(c) = -c + 2. Let v(g) = 4. Let i(n) = -5*n + 7. Let y be i(2). Let s(k) = y*z(k) + 2*v(k). Calculate the remainder when 25 is divided by s(2).
1
Let s = -244 + 277. Suppose 2*w - y = -s + 149, -171 = -3*w + 3*y. Calculate the remainder when w is divided by 34.
25
Let o = 595 + -585. What is the remainder when o/40 + 834/24 is divided by -2*((-114)/4)/3?
16
Let g(s) = -1836*s + 16810. What is the remainder when g(9) is divided by 134?
18
Let d(m) = -42*m - 3. What is the remainder when d(-4) is divided by ((-1677)/26)/((-303)/202)?
36
Let t = -6450 + 6994. What is the remainder when t is divided by 92?
84
Let r(o) be the second derivative of o**5/20 + 17*o**4/12 + 2*o**3/3 - 29*o**2/2 + 3*o + 5. Calculate the remainder when r(-16) is divided by 29.
18
Let w be (-20)/(-1)*(-22)/(-88). Suppose z - 3*c = c + 42, -w*z + 320 = 2*c. What is the remainder when z is divided by 17?
11
Let k = 184 - 130. Let i(t) be the first derivative of -t**4/4 - 8*t**3/3 + t**2 + 27*t - 12. Calculate the remainder when k is divided by i(-8).
10
Let y(v) = 2*v**2 - 25*v + 20 + 23*v + 14*v. What is the remainder when 48 is divided by y(-5)?
8
Let v(x) = -x**3 - 7*x**2 + 5*x - 4. Suppose -8*z = -408 - 376. What is the remainder when z is divided by v(-8)?
18
Let m(u) = u**3 - 26*u**2 - 63*u + 324. Calculate the remainder when 510 is divided by m(28).
126
Let b be 399 + 11 - 18/3. Suppose 0 = 5*z - 2*m - 0*m - 655, -b = -3*z - m. What is the remainder when z is divided by 70?
63
Suppose d = -3*n + 59, -4*n + 117 = 5*d - 211. Calculate the remainder when 77 is divided by d.
9
Calculate the remainder when 2*11/(33/18) is divided by ((-7)/42*3)/((-4)/24).
0
Suppose -2*b + 4 = 0, -3*i - 2*b = -13 - 3. Suppose i*y = 8*y - 28. Calculate the remainder when 700/(-84)*(-6)/(-4)*-2 is divided by y.
4
Let t be (-9)/(-8)*232/87. Suppose -12 = 4*j, -5*s = -t*s + 5*j - 135. Suppose -3*h + 0*h = -57. What is the remainder when s is divided by h?
18
Let z(t) = 35*t**3 + t - 1. Let w = 876907 - 876872. What is the remainder when w is divided by z(1)?
0
Suppose 7*u = 10*u - 153. Calculate the remainder when u is divided by (5/(150/(-12)))/(-5 + 49/10).
3
Let w(t) = -t**3 - 16*t**2 - t - 26. Let q be w(-16). What is the remainder when 123 is divided by (-112)/20*q/4?
11
Suppose 2*x - 4*t - 32 = 0, 2*t = x + 2*x - 52. Let i(m) = -m**3 - 28*m**2 - 82*m - 150. Calculate the remainder when i(-25) is divided by x.
7
Suppose -46*s = -10 + 424. Let m(k) = -3*k + 14 - k**2 - 2*k - 3*k. What is the remainder when 14 is divided by m(s)?
4
What is the remainder when 317 is divided by ((-22)/(-33))/((-1)/12) - -208?
117
Let o(h) = h**2 - 15*h. Let n be o(11). Let l = -22 - n. What is the remainder when (-8)/(-6)*1353/l is divided by 17?
14
What is the remainder when 1224 - ((4 - (11 + -4)) + (-3)/(-1)) is divided by 406?
6
Suppose -82 = -8*c + 6*c. Suppose 15*k - 20*k + 2*y - 35 = 0, -10 = k - y. Let t = k + c. What is the remainder when t is divided by 11?
3
Suppose -14*p + 30 = -12. Let f(u) = u**3 - 6*u. Let v be f(p). Suppose v*x - 17 = 64. What is the remainder when 23 is divided by x?
5
Suppose -41*u + 3556 + 1964 = -36*u. Calculate the remainder when u is divided by 7.
5
Let q = 339575 - 339532. Let y = 199 + -62. Calculate the remainder when y is divided by q.
8
Suppose 2341 + 832 = 10*h + 9*h. Let p(g) = 2*g**2 - g. What is the remainder when h is divided by p(4)?
27
Suppose 0 = 5*y - 25, 3*y = 2*x +