
75
Let x = -137 - -139. Suppose -3*f + 39 = 2*t, f = -2*t - x*t + 23. Calculate the remainder when f is divided by 10.
1
Let y(b) = 2*b**2 - 3*b - 4. Let k be (-68)/5 + -2*12/(-40). Let s(t) = t**3 + 12*t**2 - 15*t - 13. Calculate the remainder when y(-3) is divided by s(k).
10
Let q(h) = 559*h + 5793. What is the remainder when 365 is divided by q(-10)?
162
Suppose -3*p + 5*n = 1, p - 13 = -7*n + 2*n. Suppose l - 3*c = 30, 2*l - 29 - p = -c. Suppose -l*a - 243 = -21*a. What is the remainder when a is divided by 17?
13
Let t(x) = 4*x - 145. Let p(g) = g - 144. Let h(o) = 6*p(o) - 4*t(o). Calculate the remainder when 446 is divided by h(-30).
14
Let z = 64 + 181. Let s(g) = 3*g**2 + 69*g - 460. Calculate the remainder when z is divided by s(6).
59
Let s = 12387 + -12336. Let u = 178 - 26. Calculate the remainder when u is divided by s.
50
Let x(s) = 2*s**3 + 19*s**2 + 13*s + 274. Calculate the remainder when 1275 is divided by x(-10).
43
Suppose 13455 - 795 = 13*p - 8*p. What is the remainder when p is divided by 53?
41
Let z(q) = 2*q**3 - 24*q**2 + 46*q + 5. Calculate the remainder when 218 is divided by z(10).
23
Suppose 3*a - 115 = -2*h, 28 = -h + a + 83. Suppose j - 18 = -5*w, 5*w = -j - j + h. Calculate the remainder when 183 is divided by j.
31
Let a(t) = 42*t**2 - 111*t + 20. Calculate the remainder when a(-8) is divided by 109.
108
Let j = 120 - 86. Let b(t) = 389*t + 5885. Calculate the remainder when b(-14) is divided by j.
31
What is the remainder when 223 is divided by -13*98/(-364) - 173/(-2)?
43
Suppose 3*y = -2*i + 209, 0 = 4*y - 4*i - i - 294. Suppose 4*m - 15 = -y. Calculate the remainder when 7/(m/(-156)) - -1 is divided by 27.
25
Let i(y) = y**3 + 10*y**2 + 17*y - 13. Let p be i(-7). Suppose -p = f - 4*f. Let x(b) = b + 2. Calculate the remainder when 39 is divided by x(f).
4
Let d = 1122 - -794. Calculate the remainder when d is divided by 120.
116
Let n(j) = 9*j**2 + 18*j - 43. Let l be n(5). Suppose -l = -3*y - x + 78, y - 98 = -5*x. Calculate the remainder when y is divided by 40.
38
Suppose 5*h - 635 = -5*b, 2*b + 53 - 307 = -4*h. Calculate the remainder when 3807 is divided by b.
124
What is the remainder when 97 is divided by (189/27 + 6/(-2))*13?
45
Let t(i) be the first derivative of -i**3/3 + 9*i**2/2 + 10*i + 28. Suppose -2*h + 2*z = z - 88, 3*z = 12. Calculate the remainder when h is divided by t(9).
6
Calculate the remainder when 12 is divided by 4/(-22) - (-268)/(-22)*-1.
0
Suppose 4*s = 2*l + 2*l - 516, 4*s + 5*l + 534 = 0. Suppose -5*t + 558 = -2*t. Let x = t + s. What is the remainder when x is divided by 30?
25
Suppose w - 6*w + 18 = -u, -u - 5*w + 22 = 0. Let g(r) be the first derivative of -r**2/2 + 8*r - 3. Calculate the remainder when 20 is divided by g(u).
2
Suppose 7*d = 4*d + 450. Suppose 0 = -6*n + 16*n - d. What is the remainder when (-12)/n*590/(-4) is divided by 17?
16
Suppose 66*o - 191265 = 113676 + 12189. Calculate the remainder when o is divided by 27.
26
Suppose -3*c + 7 = -2*c. Suppose t = -2*w + c + 1, t = 2*w - 8. Suppose -n - w*n + 10 = 0. Calculate the remainder when 25 is divided by n.
1
Suppose 0 = -4*j + 2*p + 10, -5*j - 14 = p - 44. Suppose -43 + 103 = j*z. What is the remainder when 20 is divided by z?
8
Let f(a) = -a**3 - 10*a**2 - 7*a + 18. Let y(n) = -2*n**3 + 4*n**2 - n - 2. Let z be y(4). Let o = -80 - z. Calculate the remainder when f(o) is divided by 15.
13
Suppose -3*a + 3*r = -1089, 4*a - 4*r - r - 1457 = 0. Suppose 21*x + a = 1744. What is the remainder when x is divided by 35?
31
Suppose -309 = -9*u + 13761 + 8034. Calculate the remainder when u is divided by 23.
18
Suppose -4*b + 2 = -6, 0 = -3*i + 5*b + 14. Calculate the remainder when (12/i)/(3/212) is divided by 57.
49
Let v(x) = -4*x**3 - x**2 - 3*x - 1. Let b be v(-1). Suppose d = -0*d + 4*u + b, -5*d + 43 = -2*u. What is the remainder when 17/((9/4)/d) is divided by 23?
22
Let v = 8 - 5. Suppose 0 = 3*p + b - 23, 3*b + 24 = v*p - 15. Calculate the remainder when ((-119)/(-238))/(2/104*1) is divided by p.
8
Suppose 4230 = 4*m + d, 25*d - 5293 = -5*m + 21*d. Calculate the remainder when m is divided by 20.
17
Let i(f) = f**3 - 18*f**2 + 82*f - 52. Calculate the remainder when 108 is divided by i(11).
0
Let p be 106/1 + (14 + 2)/(-4). Suppose 106*m - 4 = p*m. Let h = 5 - 3. Calculate the remainder when h is divided by m.
0
Let p = -28 + 31. Suppose 1500 = 5*z + 5*v, -2*z - p*v - 320 = -3*z. What is the remainder when z is divided by 51?
50
Suppose 0*s + 105 = 5*s. Let a = -42539 - -42569. Calculate the remainder when a is divided by s.
9
What is the remainder when (-119665)/(-56) + (-60)/(-480) is divided by 427?
2
Calculate the remainder when 77 is divided by 28 - 627/22 - (-53)/2.
25
Let p(r) = 791*r - 537. What is the remainder when p(1) is divided by 137?
117
Let g(k) = k**3 + 24*k**2 + 67*k - 64. What is the remainder when g(-9) is divided by 201?
146
Let o(h) = 2*h**3 + 104*h**2 - 113*h - 340. Calculate the remainder when 439 is divided by o(-53).
5
Let r = -39 + 41. Suppose -4*b + 4*p + 376 = 0, -r*b + 19*p - 20*p = -194. Calculate the remainder when b is divided by 49.
47
Let t(m) = -2*m**3 + 49*m**2 + 32*m - 58. Calculate the remainder when t(24) is divided by 35.
26
Let r(h) = -89*h + 2. Let b = -98 + 96. Calculate the remainder when r(b) is divided by 14.
12
Suppose -g + 3*u + 2238 = 0, -29*u + 30*u = 4*g - 8941. Calculate the remainder when g is divided by 13.
12
Calculate the remainder when 255/5 + (-84)/(96/(-8)) is divided by 56.
2
Calculate the remainder when 2 - 4 - (-54 + 0) is divided by 14*(-208)/(-182) + 3.
14
Suppose 5*m = -5*w + 1260, -3*m + 752 = -113*w + 117*w. What is the remainder when m is divided by 74?
34
Let q = 28 - 10. Suppose 2*y - q = -12. Suppose -3*o = 5*s - 23 - 23, 3*s - 24 = -y*o. What is the remainder when s is divided by 10?
1
Let b(c) = 37*c**2 - 21*c - 169. Let r(w) = -13*w**2 + 7*w + 56. Let l(x) = -6*b(x) - 17*r(x). Calculate the remainder when l(8) is divided by 12.
6
Let n = 1492 + -1432. What is the remainder when 353 is divided by n?
53
Let f be (-76)/57*(-54)/4. Let w be 3/f*3 + (-2)/4. Suppose 30 = q - w*q. Calculate the remainder when q is divided by 11.
8
Let a = -55751 - -55971. Suppose -4*w + 6*y + 140 = 2*y, -y - 146 = -4*w. Calculate the remainder when a is divided by w.
35
Let n(r) = -r**2 - 1 + 4*r**2 - 5*r - 2*r**2. Suppose 4*a + 35 = 3*c, -12 = -2*c - 16*a + 13*a. Calculate the remainder when c is divided by n(6).
4
Let s = 3 - 0. Suppose 57 = s*j - 12. Calculate the remainder when (-4)/(-2)*(-74)/(-4)*3 is divided by j.
19
Suppose -a + 435 = 4*a. Let i be -4 - (-142 - 3/((-12)/20)). Suppose -a = -5*w + i. What is the remainder when 86 is divided by w?
42
Let y be (-8 + -2)*(-333)/15. Let g = y - 150. Let f = 276 + -239. Calculate the remainder when g is divided by f.
35
Let t = 67 + -65. Let r(z) = 64*z**2 + 4*z - 3. What is the remainder when r(1) is divided by (t + (-4)/3)/((-6)/(-99))?
10
Let s be (-29)/116 + (-50)/(-8). Calculate the remainder when 173 is divided by (s + 39)*-5*(-2)/10.
38
Let p be (-6682)/78 - (-2)/(-6). Let a = -36 - p. Calculate the remainder when a is divided by 9.
5
Suppose 0 = 5*x + 2*b - 1653, -3416*x + 4*b = -3413*x - 945. Suppose 0 = -z + r + 5, 6*z - 60 = z - 2*r. What is the remainder when x is divided by z?
7
Let d = 52 - 162. Let h = -862 + 1048. Let i = h + d. Calculate the remainder when i is divided by 20.
16
Let k(c) = -7*c - 33. Let q(a) = -a**3 - 14*a**2 + 37*a + 74. Let u be q(-16). Calculate the remainder when 394 is divided by k(u).
7
Let v(h) be the first derivative of 4*h**3/3 + h**2/2 - 27*h - 19. Let j be v(4). Let n = j + -17. Calculate the remainder when 47 is divided by n.
23
Suppose 0 = -2*u - 144*m + 145*m + 2078, 5*m - 5165 = -5*u. What is the remainder when u is divided by 206?
7
Let c = -2 - -1. Let g(k) = 777*k - 82 - 799*k + 85. What is the remainder when 96 is divided by g(c)?
21
Let b = 35 + -15. Let r be 5 + -1 + (-5 - -1). Suppose r = 27*p - 28*p + 8. What is the remainder when b is divided by p?
4
Suppose 4*p + 109 = 2*g + 11, p = -2. Let x(q) = -q**2 + 2*q + 15. Let w be x(8). Let t = w + g. Calculate the remainder when 46 is divided by t.
10
Let u = -31 - -31. Suppose u = j - 5*j, -4*f -