ppose p - 10 = -3*w + 4, 4*w - 2*p - 32 = 0. What is the remainder when 22 is divided by w?
4
Suppose -3*l + 8 - 47 = 0. Let s(q) = -q**2 - 16*q - 15. Calculate the remainder when 93 is divided by s(l).
21
Suppose -237 = -5*n + 833. Suppose -n = -5*i + 81. Suppose -p + 3 = -28. Calculate the remainder when i is divided by p.
28
Suppose 2*m + 4*t - 24 = 5*t, 0 = -3*m + 4*t + 31. Let g = 78 - m. Calculate the remainder when g is divided by 27.
11
Let m = 119 + -103. Let c be 3 - (-1 + -1 + 0). Suppose 5*f + 51 = b, 431 = c*b + 4*f + 118. What is the remainder when b is divided by m?
13
Suppose -2*t + 16 = -3*y, -t + 6*y + 8 = 3*y. Suppose -t = 2*b, -m = -0*m - 4*b - 78. Calculate the remainder when m is divided by 13.
10
Let l(s) = 4*s + 65. Let y(n) = -n - 1. Let k(d) = l(d) + 2*y(d). Calculate the remainder when k(0) is divided by 26.
11
Let f be 98/(-12) + (-3)/(-18). Let q(h) = -h**2 - 16*h + 6. What is the remainder when q(f) is divided by 18?
16
Suppose -u - 3*b + 2*b + 22 = 0, 2*b = 4*u - 64. Let f = -14 + u. Suppose 8*l - 68 = f*l. What is the remainder when 32 is divided by l?
15
Suppose 2 = -5*g + 6*g. Suppose 5*i - 19 = 36. Calculate the remainder when g/(2/10 + 165/(-1075)) is divided by i.
10
Suppose 3*c + 15 = 4*c. Suppose c = h - 1. Calculate the remainder when 4/(-3)*2277/(-66) is divided by h.
14
Suppose 81*q - 24*q = 4845. Calculate the remainder when q is divided by 19.
9
Let l(q) = 126*q - 43. What is the remainder when l(2) is divided by 32?
17
Let j = -905 + 987. What is the remainder when 1310 is divided by j?
80
Suppose 2*c + 0*d + 12 = 5*d, -4*c - 24 = d. Let p be c*((-84)/(-9) + 2). Let z = -37 - p. Calculate the remainder when z is divided by 16.
15
Suppose 2*z + 5*q = z + 18, -z - 2*q + 15 = 0. Let x = -9 + z. Calculate the remainder when (((-368)/(-2))/x)/2 is divided by 6.
5
Let x = -79 - -85. Suppose x*r = 2*r + 176. What is the remainder when r is divided by 15?
14
Let p be 124/9 + 8/36. Suppose -p + 40 = 2*u. Let h = u + 22. What is the remainder when h is divided by 19?
16
Suppose -97 = -2*v - s, 3*v = -s + 190 - 47. What is the remainder when v is divided by 26?
20
Suppose 3*z + 4*j = -z + 44, -z - 5*j + 7 = 0. Let d(h) = -6*h + 5. Let u be d(2). Let k(r) = r**2 + 2*r - 2. What is the remainder when k(u) is divided by z?
9
Suppose -3 = 3*s, h + 2*s - 388 = 5*s. What is the remainder when h is divided by 43?
41
Suppose -8*d - 771 = -11*d. Suppose 5*a - d - 308 = 0. Calculate the remainder when a is divided by 23.
21
Let m = -121 - -180. Suppose 124 = -d - 3*d. Calculate the remainder when m is divided by (-1)/((1/d)/1).
28
Let m(y) = 12*y**2 - 6*y + 44. What is the remainder when m(8) is divided by 85?
84
Let n(k) = k**3 + 6*k**2 - 9*k - 11. Calculate the remainder when 83 is divided by n(-6).
40
Let m(o) = 74*o + 236. What is the remainder when 161 is divided by m(-3)?
7
Let n = 5 + -1. Suppose -120*i = -112*i - 40. Calculate the remainder when i is divided by n.
1
Let t(y) = y**2 - 5*y - 33. Let m be t(-4). Suppose -3*s + 8*s - m*g = 371, -g + 231 = 3*s. What is the remainder when s is divided by 20?
16
Let o = 529 - 470. Suppose 0 = 3*w + z - 0*z - 16, 2*z = 4*w - 8. Suppose -w*u = 5*a - 60, -3*u + 64 = u + 4*a. What is the remainder when o is divided by u?
19
What is the remainder when (-4203)/(-21) + (-30)/(-35) is divided by 49?
5
Let m = 125 - 113. Calculate the remainder when (-1)/5 - (-1416)/30 is divided by m.
11
Suppose 51*v - 54*v + 48 = 0. Calculate the remainder when 318 is divided by v.
14
Suppose 0 = -23*k - 303 + 4121. What is the remainder when k is divided by 83?
0
Suppose 0 = -r + 2 + 1, 3*p - 210 = 5*r. What is the remainder when p is divided by 26?
23
Let g(q) = q**3 + 17*q**2 - 7*q - 50. What is the remainder when g(-17) is divided by 12?
9
Suppose -64 = -5*l + 1. Let r(h) = 2*h**3 + 12*h**2 + 5. Calculate the remainder when l is divided by r(-6).
3
Let l(m) = 116*m**2 - 12*m + 5. What is the remainder when l(1) is divided by 19?
14
Let d(n) = 13*n**3 + 2*n**2 + 3*n + 4. Let k(a) = 12*a**3 + a**2 + 2*a + 3. Let r(u) = 4*d(u) - 5*k(u). What is the remainder when r(-2) is divided by 15?
13
Suppose 5*g - 19 = 3*r, -2*r = 5*g + r - 1. Let w(l) = 6*l**3 - l**2 - 4*l + 4. What is the remainder when w(g) is divided by ((-21)/9)/(1/(-6))?
12
Let x(h) = h**3 - 15*h**2 + 2*h + 3. Calculate the remainder when 89 is divided by x(15).
23
Suppose 5*w = 386 + 214. Suppose 4*u + 4*u = w. Calculate the remainder when 26 is divided by u.
11
Let b(r) be the third derivative of r**5/60 + r**4/6 - 5*r**3/6 - 2*r**2. Calculate the remainder when (-2)/(16/(-6))*(15 - -1) is divided by b(-6).
5
Suppose -229*g = -228*g - 51. Calculate the remainder when g is divided by 27.
24
Let h(c) = -2*c**2 + 20*c - 17. Calculate the remainder when h(7) is divided by 16.
9
Let c(j) = 12*j**2 + 1. Let o(i) = 2*i**2 + 9 - 2*i - 4 + 2*i. Calculate the remainder when o(4) is divided by c(-1).
11
Let i(f) = 2*f**3 - 8*f**2 + 5*f + 6. Let k be i(3). What is the remainder when 86 is divided by 36/2*k/3?
14
Let a(s) = -s**3 + 15*s**2 + 5*s - 21. Suppose 13*z = 14*z - 15. Suppose -4*d = -55 - 57. What is the remainder when a(z) is divided by d?
26
Let j(r) = r**2 + 11*r + 5. Let k be j(-11). Suppose k*v = 16 + 309. Suppose 16 + 69 = 5*s. What is the remainder when v is divided by s?
14
Let l = 389 - 370. What is the remainder when 206 is divided by l?
16
Let r = 1663 - 963. Calculate the remainder when r is divided by 13.
11
Suppose -50*u = -49*u - 21. Calculate the remainder when u is divided by 12.
9
Let r(t) = 4*t + 17. Let b be r(-4). Calculate the remainder when (b/2)/(1/20) is divided by (4 - 1)*1 + 1.
2
Let b = 37 + -25. Suppose 5*f - f = -4*l + b, 0 = 3*l + 6. What is the remainder when 15 is divided by f?
0
Let w(f) = f**3 + 9*f**2 + 9*f - 5. Let g be w(-7). Let u = g - 28. What is the remainder when 0 + -2 - (-8 + 0) is divided by u?
0
Suppose 6*b = 3*b - 138. Let w = -16 - b. Suppose i - w = -i. What is the remainder when 42 is divided by i?
12
Let q(j) = 11*j**3 - j**2 - j + 1. Let z(g) = -4*g + 85. Let l(n) = n - 21. Let k(x) = -9*l(x) - 2*z(x). Calculate the remainder when k(-10) is divided by q(1).
9
Suppose 4*y - 8*y - 137 = -a, -5*y - 167 = 3*a. Calculate the remainder when (3/2)/1 - 2907/y is divided by 30.
27
Suppose -42*c + 342 = -33*c. What is the remainder when c is divided by 3?
2
Suppose 3*g - 3 = 0, b - 12*g + 9*g - 80 = 0. What is the remainder when b is divided by 12?
11
Suppose 0 = -4*m - 5*j + 40, -6*m + 8 = -2*m - 3*j. Suppose 0 = -o - 5*l + l + 42, -5*l - m = 0. Calculate the remainder when o is divided by 8.
6
Let g(u) = -u - 1. Let s(o) = o + 2. Let d(l) = -2*g(l) - s(l). Let x be d(-2). What is the remainder when (30/6)/(x/(-10)) is divided by 7?
4
Let q(y) = y + 59. Suppose 0 = -4*p - j + 639, -2*j = 4*p + j - 629. Calculate the remainder when p is divided by q(-18).
38
Suppose 0 = -0*l - 4*l - 432. Calculate the remainder when 0 + (-164)/(-10) + (-8)/20 is divided by (-58)/(-18) - (-24)/l.
1
Suppose -3*y = -a - 6, 11 + 1 = -4*a. Suppose j = y, 2*t - 3*j - 25 = 2*j. Suppose -5 + t = o. Calculate the remainder when 49 is divided by o.
9
Suppose -28 + 6 = -2*d. Let h = d + -8. Suppose 3*p + 5 + 21 = 2*q, -h*q - 3*p + 9 = 0. What is the remainder when 20 is divided by q?
6
Let b(r) = r**3 - 15*r**2 + r - 8. Let i be b(15). What is the remainder when i/((-35)/(-80)) + 1 is divided by 6?
5
Let x(z) = 23*z - 79. What is the remainder when 177 is divided by x(5)?
33
Let i be 36/45*10/4. Suppose 3*s + i*r - 188 = 0, -2*s - 183 = -5*s + 3*r. What is the remainder when s is divided by 16?
14
Let f(g) = g**2 - 2*g + 4. Let j be f(4). Let o = j - -25. Calculate the remainder when o is divided by 8.
5
Suppose -4*r + 517 = 2*i - 5*r, 0 = -5*i + 5*r + 1290. Suppose -i = -5*v - 2*v. Calculate the remainder when 145 is divided by v.
34
Calculate the remainder when 312 is divided by ((-38)/57)/(2/(-237)).
75
Let r(d) = 3*d + 367. Calculate the remainder when r(15) is divided by 46.
44
Suppose -5*j + 66 - 6 = 0. Let l be 14/((-10)/5 + 4). Suppose 97 = -l*b + 426. What is the remainder when b is divided by j?
11
Let l = 18 + 17. Let p be (-5)/l + (-62)/7. Let d = p - -14. Calculate the remainder when d is divided by