vided by 20.
18
Suppose 127*q + 690 = 142*q. What is the remainder when 423 is divided by q?
9
Let i = 400 - 617. Let q = 236 + i. What is the remainder when 40 is divided by q?
2
Let r = -13 - -66. Let m(z) = 18*z - 40. Suppose -4*v - 3*w = -27, 3*w - 21 = -2*v - 0*v. What is the remainder when r is divided by m(v)?
11
Let s(b) = b**3 + 3*b**2 - b + 1. Let c = -5 - -2. Suppose -47*z = 55*z - 1530. What is the remainder when z is divided by s(c)?
3
Let i = 665 + -325. Let l = i - 281. Calculate the remainder when l is divided by 7.
3
Let u be (-6 - 0) + -3 + 0/3. Let x(t) = -4*t - 33. What is the remainder when ((-2)/u)/((-14)/(-21))*699 is divided by x(-18)?
38
Suppose -120*y - 26368 = -152*y. What is the remainder when y is divided by 22?
10
Let t = 676 - 112. Let n = t - 519. Calculate the remainder when 133 is divided by n.
43
Let q = 17 + 1. Suppose -3*o - 5*t + 50 = 0, -5*t + 2 = o - q. What is the remainder when o is divided by 3?
0
Let n(t) = -2*t**2 + 36*t + 5. Let d(w) = w**2 + 19*w + 18. Let f be d(-19). Let p = 12 - 4. Calculate the remainder when p is divided by n(f).
3
Let j(s) = -s**3 - 5*s**2 + 7*s + 10. Let c be j(-6). Suppose -c*q = 2 + 22. What is the remainder when 6 is divided by (-11)/q + -2 + (-75)/(-18)?
2
Let r = 149 - 149. Suppose r = p + p - 6. Calculate the remainder when 6 is divided by p.
0
Let v = -237 - -434. What is the remainder when v is divided by ((-312)/364)/((-75)/42 - -2) + 26?
21
Let d = -17204 - -19672. Calculate the remainder when d is divided by 17.
3
Let y = -8670 - -8776. What is the remainder when 515 is divided by y?
91
Suppose 398*k - 805*k + 397*k + 300 = 0. What is the remainder when 278 is divided by k?
8
Suppose -4*v = 8, -2*v + 9 = -3*w - 5. Let f(l) be the first derivative of 2*l**3/3 + 5*l**2 - 9*l + 154. Calculate the remainder when 9 is divided by f(w).
0
Suppose 5*h - 66 = -6. Suppose 639*v - 632*v - 315 = 0. What is the remainder when v is divided by h?
9
Suppose -20*q + 252 + 430 = 2*q. Calculate the remainder when 414 is divided by q.
11
Let f(j) be the second derivative of j**3/3 - 3*j**2 - j. Let y be (-4)/1 + (2 - 3)*-9. What is the remainder when 5 is divided by f(y)?
1
Suppose u + z = 40, 124 = 5*u - u - 5*z. Suppose 4*a - u = a. Calculate the remainder when 40 is divided by a.
4
Let o(n) = 1. Let x be (-2)/(-4) - (-1)/2. Let j(d) = d**3 + 4*d**2 - d - 2. Let l(s) = x*j(s) - o(s). Calculate the remainder when 20 is divided by l(-2).
6
Let n(u) = 41*u**2 - 2*u + 1. Suppose -3568*h = -3583*h + 1140. Calculate the remainder when h is divided by n(1).
36
Let w(b) = -b + 74. Let p be w(-23). What is the remainder when 134 is divided by p/2 + (-23)/(-46)?
36
Let o be (-16)/(-4) + 2*-30. Suppose 4*b = 3*b + 4. Calculate the remainder when 3/8 + (-1267)/o is divided by b.
3
Suppose 176 = i + 3*c + c, 0 = 3*i + 3*c - 501. Calculate the remainder when i - 9/(-18)*8 is divided by 85.
83
Suppose 34193 = 3*m + c, 5468 = -2*m - 2*c + 28258. What is the remainder when m is divided by 25?
24
Calculate the remainder when 597 is divided by ((-105)/(-2))/(1/(500/30 - 10)).
247
Let v(d) = 4*d**2 + 98*d + 311. Calculate the remainder when 2069 is divided by v(-21).
12
Let n = 7362 - 7348. What is the remainder when 1018 is divided by n?
10
Suppose -3*g - 5*c + 7 = 0, -2*g - 5*c - 11 = -g. Let u(n) = -25*n - 71. Calculate the remainder when u(-28) is divided by g.
8
Suppose -6*i + 18607 = 92*i - 38233. Calculate the remainder when i is divided by 71.
12
Let p = -385 + 411. Suppose 49*k - 37*k = 744. Calculate the remainder when k is divided by p.
10
Let r(g) = -10*g**2 + 72*g - 48. What is the remainder when 1990 is divided by r(6)?
22
Let j be -4*7/(-2)*49/14. Let c = j - -6. What is the remainder when c is divided by 19?
17
Let g(p) = 2*p**2 - 40*p + 44. Let x be g(19). Calculate the remainder when 378 is divided by 4/x + 35/15*4.
8
Suppose -8*k + 38 = 30. Suppose 0 = 5*l - k - 24. Suppose 3*d - 19 = -l*i + 126, -4*i = 2*d - 114. What is the remainder when i is divided by 7?
5
Suppose -29*l = 884 + 1494. Suppose -2*o = 2*o + 80. Let f = o - l. What is the remainder when f is divided by 16?
14
Suppose 0 = 3*b - 18, -8*k + 37*b + 782 = 38*b. What is the remainder when 1463 is divided by k?
8
Suppose -46*s - m + 6764 = -31*s, -1 = m. Calculate the remainder when s is divided by 150.
1
Let r = 29373 + -29354. What is the remainder when r is divided by 44/(-6)*(-3)/2?
8
Let b(j) = 2*j**2 + 12*j + 11. Suppose -3*i = -4*t - 141, -4*t - 2*i - 74 = -2*t. Let l be (6*1)/(24/t). What is the remainder when b(l) is divided by 22?
21
Let v(x) = x**2 - 3*x + 2. Let u(t) be the second derivative of t**4/12 + t**3/2 + t**2 + t + 1. What is the remainder when u(-3) is divided by v(3)?
0
Suppose -2*b = -5*m + b + 35, -4*m = 2*b - 50. Suppose -m*l + 12*l = -42. Calculate the remainder when 67 is divided by (-204)/(-9) - 7/l.
21
Let k = 68 + -68. Suppose -n - n + c + 24 = 0, -4*n - 5*c + 62 = k. What is the remainder when (144/15)/(3/40) is divided by n?
11
Let g be (-19)/95 - (-543)/15. Suppose -24 = -a - q + g, 0 = -3*a - 4*q + 179. What is the remainder when a is divided by 15?
1
Let z = -528 - -932. What is the remainder when z is divided by (-374)/(-10) + 3*(-28)/210?
34
Let p(a) be the third derivative of a**6/120 - a**5/30 - a**4/8 + 17*a**3/6 - 2*a**2 - 1. Calculate the remainder when 77 is divided by p(0).
9
Let o = 105421 + -105387. Let s(m) = 2*m**3 - 3*m**2 - 4*m - 2. What is the remainder when s(4) is divided by o?
28
Let t be -3*(-2)/(-10)*5*1. What is the remainder when (91 - -2)*2/6 is divided by 5/(-2)*(-10 + 2) + t?
14
Suppose -4 + 64 = 4*d. Let t(s) = 119*s**2 + 5*s + 5. Calculate the remainder when t(-1) is divided by d.
14
Suppose 3835*y - 3849*y + 980 = 0. Calculate the remainder when 411 is divided by y.
61
Suppose 1296*m = 1300*m - 584. What is the remainder when m is divided by 32?
18
Let o(m) = -m + 1. Let q = -60 - -94. Let x = 47 + q. What is the remainder when x is divided by o(-11)?
9
Suppose 20*q + 174 = 22*q - 4*h, 2*q + 4*h - 134 = 0. What is the remainder when 2765 is divided by q?
70
Let t = 47 + -45. Suppose -3*f = 2*i + 2*f + 17, i + 6 = -t*f. Calculate the remainder when i/(-6)*(-51 - 0/1) is divided by 18.
16
Suppose 3*c - 5*d - 23 = 0, -16*d = -11*d - 25. Calculate the remainder when 420 is divided by c.
4
Suppose 0 = -3*q - 21 - 30. Calculate the remainder when 129 is divided by q/68 - (73/(-4) - 1).
15
Let m(w) = w**2 + 43*w + 131. What is the remainder when m(-56) is divided by 108?
103
Let f be 3 - (7/1 + 122). Let c(b) = -b**3 + 9*b**2 - b - 9. Let x be c(9). Calculate the remainder when (-6398)/f - 4/x is divided by 29.
22
Let j(h) = -48*h - 805. Let q(a) = 2*a - 8. Calculate the remainder when j(-17) is divided by q(6).
3
Let w = 759 + -752. Calculate the remainder when (2904/84 - -6)/(2/w) is divided by 24.
22
Suppose 3*l - 2*l - 16 = -3*k, -3*k = 5*l - 20. Let w be (-42)/(-4)*(-2)/(-3). Let p(g) = 3*g - 3. What is the remainder when p(w) is divided by k?
3
Suppose 0 = 306*q - 303*q - 15, q - 455 = -5*r. Calculate the remainder when 137 is divided by r.
47
Suppose 6*d - 7*d + 651 = 0. Suppose -x - d = 4*g, x + 217 = -3*g - 270. Let p = g + 248. What is the remainder when p is divided by 29?
26
Suppose -1505 = -3*b - 2*c, -2*c - 154 - 353 = -b. Let n = b - 392. What is the remainder when n is divided by 16?
15
Suppose w - 6*w + v + 234 = 0, 2*v = -5*w + 222. What is the remainder when 69 is divided by w/(6 + (-28)/7)?
0
Suppose 4*l - 2003 = -2*i - 513, 0 = -l - 3*i + 355. Calculate the remainder when l is divided by 128.
120
Suppose 4 - 150 = -15*y - 11. Calculate the remainder when 327 is divided by y.
3
Let r(k) = -4*k**3 + 26*k**2 + 56*k - 33. What is the remainder when 570 is divided by r(8)?
12
Suppose -2*h = 3*r - 235, -4*r - 138*h = -134*h - 308. Calculate the remainder when r is divided by (10 - 0) + (4 - 2).
9
Suppose 630 = 2*f - 2*x, f - 155 = -4*x + 150. What is the remainder when 626 is divided by f?
0
Let s be (-4)/(-7 - (-2766)/396). Let z = 431 - s. Calculate the remainder when z is divided by 46.
29
Let l(i) = -264*i**3 - 2*i**2 + 10*i + 11. Calculate the remainder when l(-1) is divided by 11.
10
Let t(m) = -3*m**2 + 29*m + 1. Let d(j) = -j**3 - 10*j*