late the remainder when 324 is divided by a.
82
Let v(i) = i**3 - 6*i + 15. Suppose 0 = -2*w - h + 114, -3*w - h + 0*h = -171. What is the remainder when w is divided by v(0)?
12
Let f be ((-75)/(-20) - 4) + (-2)/(-8). Let v(g) = -7*g + 115. What is the remainder when 352 is divided by v(f)?
7
Suppose h = -102 - 224. Let f(g) = -41*g - 3. Let b be f(5). Let v = b - h. Calculate the remainder when v is divided by 17.
16
Let j = 420 + -299. Let p(b) = -5*b**3 + 24*b**2 - 26*b + 29. Calculate the remainder when j is divided by p(3).
25
Calculate the remainder when 4184/28*7 - (12 + -13) is divided by 56.
39
Suppose 8*z = -0*z + 13920. Suppose 0 = 10*u + 3450 + z. Let b = -201 - u. What is the remainder when b is divided by 40?
38
Let o(p) = -p**2 - 123*p - 1792. What is the remainder when 335 is divided by o(-17)?
5
Let d(a) = 192*a**3 - a - 1. Let w be d(-1). Suppose 5*x = 3*c - 45, 4*c + 0*x = 3*x + 49. Let u = c - w. What is the remainder when u is divided by 41?
38
Let k(u) = u**2 - 3*u + 31. Suppose -14*s + 426 = -8*s. Suppose -s*y + 69*y = 0. Calculate the remainder when k(y) is divided by 19.
12
Let d(j) = -j**3 - 6*j**2 + 10*j - 9. Calculate the remainder when d(-8) is divided by -8 + -5 - -16 - -18.
18
Let y(g) be the second derivative of 5*g**4/12 - g**3/3 - 5*g**2/2 - 20*g - 2. Calculate the remainder when y(3) is divided by 26.
8
Suppose 372*b - 69097 + 24085 = 0. What is the remainder when 971 is divided by b?
3
Let g = 94 + -15. Let x = 86 - g. Calculate the remainder when 95 is divided by x.
4
Let k = 1 + 1. Suppose 0 = -5*l - 25, 3*l - 53 - 88 = -4*h. Calculate the remainder when k/8 - 598/(-8) is divided by h.
36
Let y(k) = k**3 - 21*k**2 + 104*k - 78. What is the remainder when 6502 is divided by y(14)?
4
Let s(b) = -19*b**2 - 735*b - 112. What is the remainder when 787 is divided by s(-38)?
23
Suppose 31*o = -52*o + 7885. What is the remainder when o is divided by 25?
20
Let h(r) = -239*r - 3190. Calculate the remainder when 508 is divided by h(-14).
40
Suppose -3*c = -5*c + 6*c - 84. Calculate the remainder when 122 is divided by c.
17
Let q be (-12)/(-7)*(33/(-6) + 2). What is the remainder when 153 is divided by ((-33)/q)/(-11)*-52?
23
Let f = -5244 - -5326. What is the remainder when 238 is divided by f?
74
Let s be (-406)/8 + 6/(-24). What is the remainder when 31 is divided by (-1139)/s - (-1)/(-3)?
9
Suppose -5*m - 42 + 172 = 0. Suppose 0 = b - 4 - m. Suppose -7*l + 4*l = 5*q - 161, 177 = 3*l - 3*q. What is the remainder when l is divided by b?
27
Let z = 132 - 30. Let m = -321 + 326. Suppose -20 = -p - m. What is the remainder when z is divided by p?
12
Let y(w) = -7*w**2 + 2*w + 1. Let c be y(-1). What is the remainder when 89 is divided by (-186)/(-12) - (-4)/c?
14
Calculate the remainder when 210 is divided by ((-249)/747)/(1/(-198)).
12
Suppose -12*a + 182 = 14*a. What is the remainder when 6 is divided by -1 - -2 - 12/(a + -11)?
2
Let t = -2287 + 2888. What is the remainder when t is divided by 83?
20
What is the remainder when (10/14)/1 - 134424/(-84) is divided by 18?
17
Let l(x) = x**2 + 5*x + 36. Let k be l(-6). Calculate the remainder when 207 is divided by k/98 + 1 + 88/7.
11
Calculate the remainder when 173 is divided by 4/(-3)*(-51 - -33).
5
Suppose f = 4*s - 197, -247 = -4*s - s + 2*f. Suppose s = 5*l - 4*l. Suppose -5*o + y - 29 = -90, 2*y + 5 = o. Calculate the remainder when l is divided by o.
10
Suppose -7*j - 12 = 4*p - 4*j, -4*p - j - 4 = 0. Suppose 0 = -5*u + 20, c + 3*u - 6 = -p*u. Calculate the remainder when 47 is divided by 1/((5/(-10))/(15/c)).
2
Let a = 1043 + -1025. Calculate the remainder when a is divided by 4.
2
Let n = -6031 + 6056. Calculate the remainder when 121 is divided by n.
21
Let w = -317 - -133. Let y = -178 - w. What is the remainder when 10 is divided by y?
4
Let g(z) = z**3 - 15*z**2 - 18*z + 35. Let s be g(16). Let i(u) = 16*u - 70. What is the remainder when i(17) is divided by 2/(-3) + ((-1000)/s)/(-8)?
38
Suppose 224*x - 220*x + 24 = 0. Calculate the remainder when 3*(18/x + 35) is divided by 25.
21
Let g(n) = 2*n + 88. What is the remainder when 590 is divided by g(-35)?
14
Suppose 5*g = 1459 - 159. Let c = -150 + g. What is the remainder when c is divided by 3/6*(32 + (-12 - -12))?
14
Let y(h) = 26*h**3 + h**2 - 2*h. Let u = 208 + -137. What is the remainder when u is divided by y(1)?
21
Let f(s) = 69*s + 55. Let i be f(5). Suppose -9*u + 10*u - i = 0. Calculate the remainder when u is divided by 13.
10
Let f(n) = 13*n + 71. Suppose -3*p - 13 = -u, -3*p - 15 = -9*u + 6*u. Calculate the remainder when 71 is divided by f(p).
14
Let x = 245 + -242. Suppose 0 = x*y - 142 + 13. Calculate the remainder when 128 is divided by y.
42
What is the remainder when (-176)/616 - (-2)/14*53811 is divided by 62?
61
Calculate the remainder when 972 is divided by -11*(-288)/(-1320) - 1377/(-5).
153
Let c(p) = 15*p**2 + 34*p + 98. What is the remainder when c(-3) is divided by 60?
11
Let c(z) = -2*z**2 - 7*z - 3. Let t be c(-3). Suppose 78 = q + q - 2*v, t = -2*q + v + 74. Calculate the remainder when q is divided by 21.
14
Suppose 5*c = -c + 12. Suppose c*b - 200 = -3*b. Suppose 2*l + 4*l = 66. What is the remainder when b is divided by l?
7
Let i(m) = -3*m**3 - 4*m**2 - 5*m - 2. Let y be i(-1). Suppose 0 = 5*r + 4*u - 27, 3*u = -y*u + 15. What is the remainder when 23 is divided by r?
2
Suppose 6 = 2*g - 4. Suppose -67 + 7 = -g*u. Calculate the remainder when 286 is divided by u.
10
Let p(u) = -35*u - 693. Calculate the remainder when 646 is divided by p(-21).
16
Suppose 19 = 4*w - 5. Suppose 2*j = 3*o - 3 + 5, -5*j + 16 = -2*o. Suppose o*g = 42 + 40. What is the remainder when g is divided by w?
5
Let j = 6159 - 6129. What is the remainder when 521 is divided by j?
11
Let k(x) = 7*x + 4*x**2 + 0*x**2 - 2*x**2 - 10*x**3 + 8*x**3. Calculate the remainder when 137 is divided by k(-2).
7
Suppose 0 = 5*b - 3*w - 32169, 0 = 3*b + 5*w - 30616 + 11335. What is the remainder when b is divided by 11?
8
Let a = 162 - -223. Suppose 13*v + 47 = a. Calculate the remainder when v is divided by 6.
2
Suppose -2272 = -5*c - 36*p + 40*p, -5*p + 10 = 0. What is the remainder when c is divided by 43?
26
Suppose 0 = -2*z + 4, -4*g + 811 - 155 = -4*z. What is the remainder when g is divided by 78?
10
Let k(d) = 4*d**2 + 2*d + 2. Suppose -7*t = -18*t - 7381 + 7678. What is the remainder when t is divided by k(-2)?
13
Suppose 3*j + x + 28 = 145, j - 65 = 4*x. Let w = 35 + -29. What is the remainder when j is divided by w?
5
Let p = 6 - 3. Suppose 0 = 7*l - p*l - 4*q - 176, 2*l - 4*q = 82. Calculate the remainder when l is divided by ((-6)/15)/((-33)/990) - -4.
15
Suppose 123 = j + 241. Let z = -108 - j. What is the remainder when z is divided by 4?
2
Let d(a) = 316*a**3 - a**2 + 8*a - 6. Let r be d(1). Let o = 328 - r. Calculate the remainder when 21 is divided by o.
10
What is the remainder when 946 is divided by 4/(-9) - 0 - (-37873)/2817?
10
Calculate the remainder when 14194 is divided by 6/10 + -3 - 44044/(-260).
166
Suppose -158*g + 164*g = -30. Let r(j) = -35*j - 145. Calculate the remainder when 146 is divided by r(g).
26
Let q(t) = 45*t**2 + 190*t - 67. What is the remainder when q(9) is divided by 13?
10
Suppose -7*w + 448 = 68 - 82. Calculate the remainder when 889 is divided by w.
31
Let f(y) be the first derivative of y**4/4 - 11*y**3/3 + 3*y**2 - 38*y + 62. Calculate the remainder when 53 is divided by f(11).
25
Let n(k) = k**3 - 46*k**2 + 23*k - 3249. Suppose -3*s - j = -2*j - 469, -5*s + 5*j = -775. What is the remainder when s is divided by n(47)?
34
Suppose 3*b + 2*b = -150. Let s = -18 + b. Let f = -28 - s. What is the remainder when 58 is divided by f?
18
Suppose 0 = 5*f + 10, -114 = -4*q + 5*f + 676. Suppose -9*s - 12*s + 1505 = 455. Calculate the remainder when q is divided by s.
45
Let k(x) = -x. Let p be k(-2). Suppose -5*r + 4*u = -214, 0*r - p*r - u + 96 = 0. Calculate the remainder when (-5)/(-7) + (-75720)/(-420) is divided by r.
43
Suppose 0 = 5*i - 7 + 37. Let l(h) = -h**3 + 2*h**2 + 1304*h + 28. Calculate the remainder when (-1116)/(-14) - i/21 is divided by l(0).
24
Suppose 5*a = -s - 24, 5*a + 18 + 14 = -3*s. Let l(t) = 3 - 11*t - 4 + 4 - 3*t. Calculate the remainder when l