 remainder when 121 is divided by n?
13
Let g(t) = t**3 + 107*t**2 + 882*t + 252. Calculate the remainder when 264 is divided by g(-98).
12
Let m(v) = v**3 - 24*v**2 + 23*v + 19. Let x be m(23). Suppose x = 7*g - 30. What is the remainder when 139 is divided by g?
6
Suppose -4*f = -7 - 13. Let d be 6*(f - (4 + 11)). Let y = d - -81. What is the remainder when 37 is divided by y?
16
Calculate the remainder when 187 is divided by (-1 - -32)/(1/2).
1
Suppose 65003 - 25437 = 28*w - 197510. What is the remainder when w is divided by 5?
2
Suppose 2978 = 110*m - 5235 - 1797. Suppose 3*y = -9, 2*i - 5*y + 137 = 6*i. Calculate the remainder when m is divided by i.
15
Let z(d) = d**3 - 25*d**2 - 82*d + 21. What is the remainder when 3618 is divided by z(28)?
76
Suppose -4*c - 3*q + 125 + 101 = 0, -4*q + 118 = 2*c. Calculate the remainder when 112 is divided by c.
2
Suppose 4*f - 2474 = -3*t, -2*t = -f - 6*t + 612. Suppose 3*d - d + f = 3*w, 3*d = -5*w + 1027. Calculate the remainder when w is divided by 42.
38
Let d(l) = -30*l - 94. What is the remainder when 752 is divided by d(-4)?
24
Suppose 29*p = -221 + 1207. What is the remainder when p is divided by 10?
4
Suppose 0 = 2*d + 3*o + 793 - 1281, -2*o + 727 = 3*d. What is the remainder when d is divided by 194?
47
Suppose -60 = -49*r + 44*r. Let v be 57/(-1)*-2 + 2. Suppose -4*b + v + 168 = 0. What is the remainder when b is divided by r?
11
Let q(r) = 2*r**2 - 100*r + 1265. Calculate the remainder when q(13) is divided by 38.
37
Let c = 15414 - 14719. Calculate the remainder when c is divided by 12.
11
Let g(a) = 4127 + 0*a**2 - 2*a - 4125 - a**2 + a**3. Calculate the remainder when (2/(-4))/((-2)/148) is divided by g(3).
9
Calculate the remainder when 2175 is divided by -1 - (-32)/((-384)/(-2628)).
213
Let m = -25511 + 25741. Calculate the remainder when 5977 is divided by m.
227
Let a(w) = 6*w**2 - 32*w - 20. Let h be a(6). Suppose 3*m - 5*m = h*r - 62, m - 4*r = 49. What is the remainder when m is divided by 11?
4
Suppose 0 = -2*g + 3*c + 2*c - 16, -20 = -5*c. What is the remainder when 3/(1/(-14)*-2) is divided by -75*g/(-36) + (-2)/12?
1
Let z = -29 + 43. Suppose t = 5*c - 6*c + z, 5*c = 2*t - 7. Calculate the remainder when t is divided by 10.
1
Let h = 9 - 7. Let p be h/4 + 40/16. Suppose 0 = -p*x + y + 17, -3*x - 2*y + 13 = -7*y. Calculate the remainder when 16 is divided by x.
4
Let q = -3744 - -3751. Calculate the remainder when 3415 is divided by q.
6
Let f(s) = -20*s - 284. Let c be f(-14). Calculate the remainder when (1/(3/(-126)))/(2/c) is divided by 43.
41
Let z(b) = -2*b**2 - 15*b - 17. Let y be z(-6). What is the remainder when 42 is divided by ((-2)/y)/((7/1)/(-91))?
16
Suppose 3*c + 17 = 140. Suppose 0 = 5*u - j - 16, 3*j = -2*j - 5. Suppose 590 = u*n - 15*a + 11*a, 0 = 2*a - 8. What is the remainder when n is divided by c?
38
Suppose -104*j = -94*j - 230. Calculate the remainder when 2/(-11) + 5913/33 is divided by j.
18
Let r(f) = f**3 + 12*f**2 - 11*f + 31. Let y be (10/15)/(4/(-78)). Let p be r(y). Suppose 8*u - p*u = 6. What is the remainder when 4 is divided by u?
0
Suppose 3*b + 2*p = 465, -4*b - 631*p + 628*p = -619. Calculate the remainder when 14286 is divided by b.
156
Suppose l + 49 = w + 163, 5*l - 549 = -2*w. Calculate the remainder when 557 is divided by l.
2
Let c(m) be the first derivative of m**4/4 + 2*m**3 - 3*m**2/2 + 7*m - 40. What is the remainder when 46 is divided by c(-6)?
21
Let o(g) = g**2 - 65*g + 97. What is the remainder when 953 is divided by o(64)?
29
Let h(q) = q**2 - 15*q - 114. Let v be h(24). Suppose 491*f = 485*f + v. Calculate the remainder when f is divided by 8.
1
Let g = -5823 + 5895. Calculate the remainder when 234 is divided by g.
18
Let v = 587 - 417. Suppose 423*m - 421*m = v. What is the remainder when m is divided by 13?
7
Suppose -2*t + 10 = -3*t. Let f = 26 + t. Suppose -43*c + 21 = 3*j - 40*c, -3*j + c = -17. Calculate the remainder when f is divided by j.
4
Let x(h) = -32*h + 70. Let j be x(0). Suppose 5*v + 4*r = 485, -j*v = -67*v + r - 284. What is the remainder when v is divided by 24?
21
Suppose -15*u + 9*u = -816. Suppose -333 = -43*t + 34*t. What is the remainder when u is divided by t?
25
Suppose -5*p + 4*u = 1114, 658 = -2*p - p + 5*u. Let a = -138 - p. What is the remainder when a is divided by 30?
28
Let m(c) = 9*c - 53. Let z(n) = -2*n + 6. Let f be z(-2). Calculate the remainder when m(f) is divided by 12.
1
Let y = -343 + 373. Suppose -m - 592 = -5*m. What is the remainder when m is divided by y?
28
Let u(x) = 3*x**3 - 92*x**2 - 115*x - 91. What is the remainder when 669 is divided by u(32)?
19
Suppose 30 = 2*q + 3*w, -4*q = 4*w - 17 - 43. Calculate the remainder when ((-2)/(-8))/((-25)/25)*-116 is divided by q.
14
What is the remainder when 1336 is divided by 216 - ((3 - 104/32) + (-2)/(-8))?
40
Suppose 2*j + 16*j = -16*j. What is the remainder when j - -892 - (-5 + 16)/(-11) is divided by 64?
61
Suppose 0 = 223*f - 249*f + 7696. Calculate the remainder when f is divided by 75.
71
Let r = -386 - -536. Suppose -7 = -b + 5*z, 5*b + z = 3*z + r. What is the remainder when b is divided by 21?
11
Suppose 10*f = -8*f + 91*f - 7592. Calculate the remainder when f is divided by 73.
31
Let t = -690 - -1151. Let f = -445 + t. Calculate the remainder when 63 is divided by f.
15
Let f(d) = 82*d**2 - 83*d + 244. Calculate the remainder when f(8) is divided by 18.
4
Let b = 92 - 83. Let q(c) = 5*c**2 + c + 1. Let x(r) = -6*r**2 - r - 1. Let i(h) = -3*q(h) - 4*x(h). What is the remainder when i(-2) is divided by b?
8
Let x = 5890 - -688. What is the remainder when x is divided by 20?
18
Suppose -m + 28 = -4*p, -2*p - 17 = 2*m - 3. Let q be 0/p - (1 - (-1 + 4)). Let r(f) = 2*f**3 - 2*f**2. Calculate the remainder when r(q) is divided by 5.
3
Let r(t) = 10 + 8*t - 5 + 2. Suppose 0 = -7*w + 5*w + 24. Calculate the remainder when r(5) is divided by w.
11
Suppose 67*v + 5408 = 99*v. Calculate the remainder when v is divided by 31.
14
Let a(v) = 21*v**3. Suppose 0 = -3*r + p - 48 + 65, -5*r = -p - 27. Calculate the remainder when a(1) is divided by r.
1
Let s(a) = 84*a**2 + 463*a + 15. What is the remainder when s(-6) is divided by 87?
0
Let g(l) = 4*l**2 - l - 4. Let z be g(-3). Let v = z - 31. Suppose 4*j - 140 = -5*r, -v*j = j - 5*r - 220. Calculate the remainder when j is divided by 11.
7
Let x(d) be the second derivative of 3*d**3/2 + 3*d**2/2 - 7*d - 4. What is the remainder when x(4) is divided by 19?
1
Let h = -1371 - -1383. What is the remainder when 8531 is divided by h?
11
Suppose -49*g + 1221 = -4659. Calculate the remainder when 472 is divided by g.
112
What is the remainder when (533/(-205) - -5)*(-530)/(-3) is divided by 58?
18
Let s = 244 + -232. Let l = 542 + -507. What is the remainder when l is divided by s?
11
Let d be (1 + (-4 - -1))*-1. Suppose 0 = d*q - 0*q - 4. Suppose l - 105 = -q*l. What is the remainder when l is divided by 12?
11
Suppose 96*f = 88*f + 896. What is the remainder when 17 is divided by (-79)/(-7) + (-32)/f + 6?
0
Let s(l) be the second derivative of -l**5/20 - 3*l**4/4 - 4*l**3/3 + 3*l**2/2 - 88*l. Calculate the remainder when 27 is divided by s(-8).
0
Let r(h) = 21*h - 54. Calculate the remainder when 324 is divided by r(8).
96
Let t be (-12 + -8)/(2/(-20)). Suppose -9*z + 5*z + 160 = -5*d, -5*z - 2*d + t = 0. What is the remainder when 119 is divided by z?
39
Suppose -295305 = 141*c - 2491662. What is the remainder when c is divided by 38?
35
Let y(h) = 3*h - 58. Let i be y(20). Suppose -5*l = -i*u - 228, -5*u = -2*l + 34 + 74. What is the remainder when l is divided by 15?
14
Let l = 10 - 8. Suppose -l*s + 4*w = 2*w - 18, 4*s - 5*w = 37. Suppose s*j - 23 = 25. Calculate the remainder when 14 is divided by j.
2
Suppose 43*q + 224*q = 57834 + 41223. What is the remainder when q is divided by (-90 + -3)*(-2)/6?
30
Let y(t) = 17 - 6*t**2 - 8 + 4*t**2 + 4*t. Let a be y(9). Let p = a + 258. What is the remainder when p is divided by 36?
33
Let v(p) = 19*p + 3458. Calculate the remainder when v(-142) is divided by 63.
4
Suppose 813*m + 57 = 816*m. Let s(c) = c**3 + 168. Calculate the remainder when s(0) is divided by m.
16
Suppose -17 = -5*g + a, -3*g - 451 = 3*a - 454. What is the remainder whe