b.
83
Let g(c) = c**3 + 11*c**2 + 4*c + 2. Let w be g(-9). Suppose 6*f - x + 212 = 9*f, -4*x = 2*f - w. What is the remainder when f is divided by 16?
8
Let u(c) = 8*c**2 - 2*c - 6. What is the remainder when u(-7) is divided by 83?
68
Let g = 5025 - 4837. What is the remainder when 667 is divided by g?
103
Let n(s) = 17*s - 508. Let d be n(-24). Let r = -895 - d. Calculate the remainder when 73 is divided by r.
10
Let l(t) be the first derivative of t**4/4 + 14*t**3/3 + 7*t**2 - 7*t + 30. What is the remainder when l(-12) is divided by 19?
18
Suppose -5*j = 4*y - 164, 4*j + 0*j = y - 20. Calculate the remainder when (-82)/(-3*8/y) is divided by 16.
11
Let l(j) = 28*j**2 - 6*j + 8. Suppose 518 = 15*t - 772. What is the remainder when t is divided by l(1)?
26
Let x = 5469 - 5439. What is the remainder when 256 is divided by x?
16
Let n(a) = -21*a + 275. Let z be n(13). Suppose -z*u + 26*u = 2160. Suppose 4*j + 0*w = -2*w + 66, 4*j + 4*w = 56. What is the remainder when u is divided by j?
14
Let b = 397 + -352. Suppose -3*z = -4*z - 1, -5*z = 2*t - b. Calculate the remainder when 80 is divided by t.
5
Suppose 41*x = -27*x - 32*x + 20700. What is the remainder when x is divided by 200?
7
Suppose 0 = 2*t + 29 + 3. Suppose 0 = 3*m - 64*m - 5 + 2262. What is the remainder when m is divided by -4*(84/t + 2)?
11
Let k = -290 + 306. Let g be ((-6)/10 - 1)*(-15)/6. Suppose -2*d + h - g*h = -273, 3*d = 5*h + 438. What is the remainder when d is divided by k?
13
Let n = -559 - -176. Let s = n - -448. Calculate the remainder when s is divided by 5.
0
Let n = -9249 - -12606. What is the remainder when n is divided by 57?
51
Suppose 0 = -5*a - 2*g + 22, -3*a = 5*g - 8 - 9. Let h = a + 21. Let s = -5595 + 5609. Calculate the remainder when h is divided by s.
11
Suppose 10*l = -49 + 9. Let u = 7 + l. Let h = -6 - -35. What is the remainder when h is divided by u?
2
Let i be 6116/(-110) - (-2)/(-5). Let n = -48 - i. What is the remainder when 26 is divided by n?
2
Suppose 8*d - 24 = 752. Suppose -d = -7*k - 83. What is the remainder when k is divided by 2?
0
Calculate the remainder when 1384 is divided by (8/(-56) - 107/(-14))/(6/8).
4
Let h(k) = -21*k**2 - 8*k + 10. Let r be h(-7). Let p be 6/(-8) + 0 - r/36. Suppose -p = -2*m - 24. What is the remainder when 3 is divided by m?
0
Let y = 247 - 213. Suppose -5*u + 2*p = -y, 12*p = 2*u + 9*p - 7. Calculate the remainder when 86 is divided by u.
6
Suppose -34*n + 38*n + 247 = 17*n. What is the remainder when 5281 is divided by n?
18
Let k(t) = 2*t**2 + 85*t + 94. Calculate the remainder when k(40) is divided by 29.
24
Let v = 890 + -892. Calculate the remainder when v/4*3608/(-11) is divided by 83.
81
Suppose -64*z - 13*z = -36*z - 8651. What is the remainder when 462 is divided by z?
40
Let p = -16 - -29. Suppose -265*x + 141*x + 744 = 0. What is the remainder when p is divided by x?
1
Let c = -35 + 40. Suppose 0 = 4*s - 12, -z + 5*s + 5 + c = 0. What is the remainder when 112 is divided by z?
12
Suppose 243 = -130*l + 133*l. Suppose -3*r - 3*x + 118 = -x, x + l = 2*r. What is the remainder when r is divided by 21?
19
Let t(f) = -f**2 - 19*f - 75. Let b be t(-6). Suppose 179 = b*n - 4*h - 133, 3*n - h = 321. Let k = 15 + 13. What is the remainder when n is divided by k?
24
Let m = -33 + 168. What is the remainder when m is divided by (2 - 70/15)*-18?
39
Let c(d) = 7*d**2 + 46*d + 19. Let y be c(-8). Suppose 10*t - 309 = -y. Let u(l) = l**3 - 3*l**2 - l - 7. What is the remainder when u(5) is divided by t?
17
Let z(b) = 2*b**3 - 51*b**2 - 26*b + 5. Let x be z(26). Suppose -x*c + 303 = -267. Calculate the remainder when c is divided by 32.
18
Suppose 4*g + 12 = 0, 0*m = 2*m - g - 97. Calculate the remainder when 147 is divided by m.
6
Let s(c) = c**3 + 17*c**2 + 5*c - 13. Let n be s(-16). Let l = 244 - n. What is the remainder when l is divided by (-7)/((-35)/102) + (-9)/(-15)?
18
Suppose 3 = f - 4*u - 3, -4*f + 4*u + 48 = 0. Suppose b + 8 = f. Calculate the remainder when 39 is divided by -5 + 2 + b - (-17 - 2).
17
Let b(y) = -1069*y + 1082. Suppose 2*a - 38 = 58. Calculate the remainder when a is divided by b(1).
9
Let d = 211 - 194. What is the remainder when (-5236)/(-35) - (-10)/25 is divided by d?
14
Let l(s) be the second derivative of s**4/12 + 4*s**3 + 66*s**2 - 6*s - 1. Let r = -281 + 447. What is the remainder when r is divided by l(-6)?
22
Let k(i) = 19*i**2 + 7*i + 11. Let u be k(-5). Let p = -361 + u. What is the remainder when p is divided by -2*2*(-23)/4?
21
Suppose -18*g + 12*g + 2700 = 0. Suppose 406 - g = -2*b. Suppose 0 = 5*x + 53 - 248. What is the remainder when x is divided by b?
17
Let x = -27 - -44. Suppose -3*z - 5 = 5*o + 7, 2*o - 20 = 5*z. Suppose -5*m - 5*w + 355 = o, -m - 42 + 123 = 3*w. What is the remainder when m is divided by x?
15
Let r = -1325 + 1913. Calculate the remainder when r is divided by 112.
28
Let j(v) = 3*v + 38. Let s be j(-12). Let z(i) = 4*i**3 - 2*i**2 - 8*i + 22. What is the remainder when 41 is divided by z(s)?
11
Let a(d) = -2*d**3 + 60*d**2 - 131*d + 24. What is the remainder when a(27) is divided by 14?
7
Suppose 2*y - 2 = 0, 8 = 5*i - y - 6. Suppose -4*x - 231 = -3*g, -i*x + 246 = 3*g - 2*x. Suppose 20*d - 63 = 17*d. What is the remainder when g is divided by d?
18
Suppose -4*p + 556 = -0*p. Suppose 300*h - 220 = 278*h. What is the remainder when p is divided by h?
9
Let j(m) = 218*m - 617. What is the remainder when 97 is divided by j(3)?
23
What is the remainder when 22/165 - (25239/(-45) + 1) is divided by 78?
14
Let o be 248/(-14)*(-26 + 19). Calculate the remainder when o - -3 - (-12)/3 is divided by 22.
21
Let v(a) = a**2 + 31*a + 27. Let i be v(-30). Let t(h) = -21*h**3 - 20*h**2 + 1. Calculate the remainder when t(i) is divided by 6.
4
Let o be ((-192)/(-8))/8 + -4. Let j(r) = 17*r**2 + 6*r - 1. What is the remainder when 88 is divided by j(o)?
8
Let d(m) = 62*m - 102*m + 75 + 48*m. Calculate the remainder when d(-6) is divided by 8.
3
Let v(m) = -75*m - 181. Let p be v(-9). Suppose -p*q = -499*q + 270. Calculate the remainder when 1079 is divided by q.
53
Let i(j) = 2*j**3 - 69*j**2 + 648*j + 9. Calculate the remainder when i(16) is divided by 25.
5
Suppose 22*j = 5*y + 27*j - 845, 0 = 5*y + j - 849. What is the remainder when y is divided by 67?
36
Let r(o) be the second derivative of -5/4*o**4 - 31*o + 0 + 4/3*o**3 - 17/2*o**2 + 1/20*o**5. What is the remainder when r(15) is divided by 15?
13
Let o be 10 + 3 + -6 + -2. Suppose o*s - 30 = 20. Calculate the remainder when (-423)/(-6)*6/9 is divided by s.
7
Let r = 3254 - 3180. Calculate the remainder when 1183 is divided by r.
73
Let k(y) = 32*y + 39. Calculate the remainder when 1116 is divided by k(-1).
3
Let l(r) = -771*r - 5156. What is the remainder when l(-16) is divided by 114?
112
Let y(d) = -d**2 - 9*d + 8. Let g be (20 - 28)*1/((-4)/(-5)). Let a be y(g). Calculate the remainder when 79 is divided by 1/(((-6)/72)/(6/a)).
7
Let n = -3819 + 3840. Calculate the remainder when 1065 is divided by n.
15
Let p = -88 - -80. Let m be 0/1 - (p - -6 - 0). Suppose -4*o + 6*o = -5*c + 385, 215 = 3*c - m*o. What is the remainder when c is divided by 6?
3
Let l(i) = 22*i**3 + 6*i**2 - 27*i - 10. Calculate the remainder when l(3) is divided by 17.
13
Suppose -2*z = -3*j + 3665, 6 = j + 9. Let q = z + 1866. Let v = 260 + -60. What is the remainder when v is divided by q?
26
Let r = -134 - -228. Let o be ((-21)/6 - -5) + (-2)/(-4). Suppose o*a + 5*j = 74, -6*a - 26 = -7*a + 3*j. What is the remainder when r is divided by a?
30
Suppose -4*h + r + 180 = 113, -35 = -2*h + r. Let a = 439 - -6. What is the remainder when a is divided by h?
13
Let f be 1/(-4) - (-14013)/(-12). Suppose -3*x = -6*x + 5*w - 19, 4*w = 8. What is the remainder when (x/(-6))/((-8)/f) is divided by 15?
13
Let q(c) = c**2 - 37*c - 1860. Calculate the remainder when 2/3*(-7524)/(-24) is divided by q(66).
47
Suppose 0 = 56*j - 51*j - 110. Let z be 0 + 3 - 196*4. What is the remainder when (-38)/(-171) + z/(-9) is divided by j?
21
Let r(x) = 2*x - 10. Let m be r(5). Let y be m + 18/3 - 2. Let k = y - 1. What is the remainder when k is divided by 1?
0
Let s(v) = -2*v**2 + 7*v + 1. Let h(k) = -k**2 - 2. Let c(d) = -3*h(d) + s(d). Calculat