 Suppose -3*w = j*l - 373, -l = 3*l - 16. Calculate the remainder when w is divided by 20.
19
Suppose 2*y + 12 = -3*b + 27, 5*b - 12 = y. Suppose 2*j - 35 = -b*j. Calculate the remainder when 109 is divided by j.
4
Let s(v) = v**3 - v**2 - 2*v. Let l be s(-1). Suppose -61*m + 54*m + 161 = l. Calculate the remainder when 89 is divided by m.
20
Let q be (6/5)/(4*(-5)/(-100)). Suppose q = 2*f - 5*z, -16 = -3*f + z + 3*z. What is the remainder when 111 is divided by f?
7
What is the remainder when (-12)/(-4) - 15*(-480)/18 is divided by 14?
11
Calculate the remainder when 569 is divided by 468/(-2)*(-102)/459.
49
Suppose -d + 0*d = 0. Suppose -v - 8 + 40 = d. Suppose -3*q = -2*q - 125. What is the remainder when q is divided by v?
29
Suppose -9*h = -25*h + 160. Calculate the remainder when 129 is divided by h.
9
Let m(a) = a**3 + a**2 + a - 1. Let i(y) = 6*y**2 + 8*y - 7. Let p(r) = -i(r) + 6*m(r). Let h = 1 + 0. Calculate the remainder when p(h) is divided by 2.
1
Let k = 164 + -133. Let l = -41 - -102. Calculate the remainder when l is divided by k.
30
Suppose -a = -3*u + 30 - 47, 69 = 3*a - 3*u. Let n = 6 + -2. What is the remainder when a is divided by n?
2
Suppose 2*o - 4*o = 8. Suppose 2*c = -u + 9, -5*u + 0*c = 5*c - 35. Let m = u + o. What is the remainder when 3 is divided by m?
0
Suppose -c - 5 = 0, 4*c - 7 = 2*q - 51. Suppose v - 35 = -2*t + 5*t, -5*t = 0. What is the remainder when v is divided by q?
11
Let k(l) = 35*l**2 + 2. Let m be ((-4)/8)/(4/(-8)). What is the remainder when k(m) is divided by 8?
5
Let o(a) be the second derivative of a**3/3 + 17*a**2/2 - 12*a. What is the remainder when o(-4) is divided by 5?
4
Let o be 9*(-1 + 0) + 66/22. Let f(a) = -a**3 - 7*a**2 - 9*a - 6. Calculate the remainder when 129 is divided by f(o).
9
Calculate the remainder when 228 is divided by (-4)/6 + (10 - (-20)/(-15)).
4
Suppose -c + 90 - 14 = 0. Suppose 6*m = 566 + 58. Suppose 0 = -11*n + 15*n - m. Calculate the remainder when c is divided by n.
24
Calculate the remainder when 170 is divided by (-3)/(-3 + 0)*90/3.
20
Let x(w) = w - 1. Let r(b) = b**2 + 13*b - 17. Let o(i) = r(i) - 4*x(i). Calculate the remainder when (-278)/(-8) - (-4)/16 is divided by o(-11).
8
Suppose g = -2*g - 3*v + 12, 5*g - 5*v = 30. Suppose 5*b = 4*i + i - 5, 4*b = -4*i - 20. Calculate the remainder when g - (-3 + i + 2) is divided by 3.
2
Let c = 356 + -342. Let b(w) = w**2 + 5. What is the remainder when c is divided by b(0)?
4
Suppose -15*p + 14113 - 4678 = 0. Calculate the remainder when p is divided by 38.
21
Let d be -4*(7/(-4) - -1). Suppose -16 = -d*k + 47. Suppose -3 = -3*y, 4*y + k = 3*w - 2. Calculate the remainder when 53 is divided by w.
8
Let f be (450/(-4))/((99/12)/11). Suppose 3*l - 998 = -365. Let u = f + l. Calculate the remainder when u is divided by 21.
19
Let m(z) = 7*z**2 - 13*z - 2. Calculate the remainder when m(3) is divided by 4.
2
Let r be 224 - (-5 - 0 - -3). Let l = -55 + r. Calculate the remainder when l is divided by 43.
42
Suppose 0*d - d = t + 1, -d - 4 = -2*t. Let w = 16 + 4. Calculate the remainder when w is divided by (-1 + t)/3 - -11.
9
Suppose 2*f - f + 5*k = 4, -3*k = 6. What is the remainder when 19 is divided by 1/((-1)/(f/(-1 + -1)))?
5
Suppose -4*w + 410 = 3*n, 2 = -5*w - 3. Calculate the remainder when n is divided by 28.
26
Let h(y) be the first derivative of -2*y**2 - 7*y - 16. What is the remainder when h(-5) is divided by 8?
5
Suppose k + a = 17, -5*k + a + 46 = -3*k. Let n = 89 + 13. Calculate the remainder when n is divided by k.
18
Suppose 0*t = -3*n - 2*t + 156, 0 = -3*n - 3*t + 153. What is the remainder when 227 is divided by n?
11
Let r(p) = 22*p - 23*p + 0 - 1. Suppose 0*i + 3*q - 111 = -5*i, -i - 5*q = -31. What is the remainder when i is divided by r(-7)?
3
Let g = -639 + 679. What is the remainder when g is divided by 22?
18
What is the remainder when 21*(-4)/(-21)*(-70)/(-20) is divided by 5?
4
Suppose 26 = -5*d - 39. Let i = d - -26. Calculate the remainder when 48 is divided by i.
9
Suppose 0 = 8*d + 13*d - 441. What is the remainder when 460 is divided by d?
19
Suppose -4*w + 27*h - 1 = 30*h, 0 = 4*w + 2*h - 2. What is the remainder when 11 is divided by w?
1
Suppose 2*w + 0*w - 4 = 0. Suppose -10 = -2*l - 4*m, 0 = -3*l - 2*l - 5*m + 40. Calculate the remainder when l is divided by 1 - 1*(-10)/w.
5
Let k = -70 - -72. Suppose -3*r + 87 = -d, -k*d - 14 = -r + 20. Let a(z) = -9*z + 1. Calculate the remainder when r is divided by a(-1).
8
Let r(y) = -5*y + 17. Let x(f) = 22*f - 68. Let n(a) = 9*r(a) + 2*x(a). Let j be (26/(-3))/(4/(-6)). What is the remainder when 11 is divided by n(j)?
3
Suppose -3*c - 3*w + 3 = 0, 6*c = 2*c + 3*w + 32. Suppose c*r - 27 = 3. What is the remainder when 50 is divided by 158/r + 4/(-12)?
24
Let i(a) = -6*a. Let n be i(-7). Suppose 4*h - 12 = -2*q + 2*h, 0 = 2*q - 4*h - n. Let m = q + -8. What is the remainder when m is divided by 2?
1
Let z be ((-8)/12)/(2/(-12)). Suppose 28 = 2*f + 5*x + 124, 0 = z*f + 3*x + 220. Let j = -10 - f. What is the remainder when j is divided by 17?
14
Suppose 5*c - 105 = 2*c. Let a = 3 - -2. Suppose 37 + 8 = a*t. What is the remainder when c is divided by t?
8
Suppose 0 = 4*x + 2*w - 460, -5*w = 8*x - 6*x - 230. Calculate the remainder when x is divided by 59.
56
Let m(u) = u**2 + 9*u + 6. Suppose -5*l + g = -l + 38, 5*l + 4*g + 58 = 0. Calculate the remainder when 75 is divided by m(l).
11
Let y(r) = 59*r**2 - 12*r - 1. Calculate the remainder when y(-1) is divided by 41.
29
Let q = 27 + 11. Let t = 598 - 572. Calculate the remainder when q is divided by t.
12
Suppose 6*o = 8*o - 6. Suppose 3 = 5*p + 3*s - 3, o = 3*p + 2*s. Calculate the remainder when p is divided by 3.
0
Let z be (2 - (0 + 1)) + 2/2. Suppose -5*a + 5*t = -65, 5*a + z*t + 3 - 33 = 0. What is the remainder when 53 is divided by a?
5
Let f = -318 - -320. Calculate the remainder when 37 is divided by f.
1
Let m(p) = p**3 - 5*p**2 + 4*p + 3. Let h(o) = -o**3 + 8*o**2 - 6*o + 9. Calculate the remainder when h(7) is divided by m(4).
1
Calculate the remainder when 6/(-9) + (-4772)/(-12) is divided by 80.
77
Let l(i) = i**3 + 6*i**2 + 6*i + 7. Let q be l(-5). Suppose q*b = -0*b + 24. Let h = 36 - 29. Calculate the remainder when b is divided by h.
5
Suppose -145*f = -147*f - 258. Let d = 140 + f. Calculate the remainder when 30 is divided by d.
8
Let q(h) be the first derivative of h**3/3 - h**2 - 27*h - 21. What is the remainder when q(-6) is divided by 12?
9
Let r = -88 - -108. What is the remainder when r is divided by 7?
6
Suppose 5*q = -4*w + 2910, -q + 562 = -5*w - 20. What is the remainder when q is divided by 192?
6
Suppose 10*t - 7114 = 96. Suppose -15*p - 106 = -t. What is the remainder when p is divided by 6?
5
Let o = 2689 + -2673. Calculate the remainder when o is divided by -4*((-2)/8 + -1).
1
Suppose -496 = -4*w + 1224. What is the remainder when w is divided by 27?
25
Let b(s) = -s**3 - 11*s**2 + 79*s - 2. Calculate the remainder when 1104 is divided by b(-16).
12
Let h(g) = 13*g + 5. Let s(o) = -2*o - 5. Let a(k) = -2*k - 6. Let x(t) = -3*a(t) + 4*s(t). Calculate the remainder when h(4) is divided by x(-11).
17
Let t be (-515)/(-15) + (-3)/9. Let v = t - 16. Let x = -134 - -187. What is the remainder when x is divided by v?
17
Suppose -j = -4*t - 6 - 12, 3*t = 5*j - 39. What is the remainder when (795/(-106))/(1 - (-6)/(-4)) is divided by j?
3
Calculate the remainder when 8 - (-6)/12*298 is divided by 6/15 + (-339)/(-15).
19
Let j = -95 - -154. Let z(u) = -2*u**3 + 2*u - 1. Let g be z(-4). Suppose 0 = -8*x + 41 + g. Calculate the remainder when j is divided by x.
19
What is the remainder when 484 is divided by ((-164)/(-10))/(150/1125)?
115
Let a(t) = 2*t**3 - 9*t**2 + 8*t - 6. Let h be ((-28)/(-12) - 4)/((-1)/3). Calculate the remainder when a(h) is divided by 20.
19
Calculate the remainder when 144 is divided by (1 + (-6)/12 + 5)*2.
1
Suppose 3*z + 5*b = 30, z + 4*z - 2*b = 19. Suppose 3*d - 64 = -5*p, 30 = z*d + 2*p - 83. Let w = -21 + 30. Calculate the remainder when d is divided by w.
5
Suppose d - 5 = 5*s, 4*s + 2*d + 6 = 2. Let c(a) = -14*a. What is the remainder when s - 21*(-48)/18 is divided by c(-1)?
13
Let c(p) = -p**2 - 17*p + 23. Let k be c(-18). Suppose