.
9
Suppose -12 = 2*z - 40. Let c = -93 + 159. What is the remainder when c is divided by z?
10
Suppose i + 2*b = 11, -b - b = -2*i + 40. Let p(v) = -v**3 - 2*v**2 - v + 1. Let j be p(2). Let g = j + 65. Calculate the remainder when g is divided by i.
14
Suppose -q = -5*c + 65 + 60, -3*c = -2*q - 75. Suppose s - 5*s - 4*a = -508, 5*a - 269 = -2*s. Calculate the remainder when s is divided by c.
22
Suppose 0 = -5*p + 1121 - 281. Calculate the remainder when p is divided by 13.
12
Suppose 437 = o + 117. Suppose -5*s + 15 = -o. Suppose -y + 33 = 2*q - 0*y, 3*q - s = 2*y. What is the remainder when 74 is divided by q?
17
What is the remainder when 129 is divided by 30*(42/18)/7?
9
Suppose 13*d = 9*d + 40. Suppose 4*g - 55 = -5*c, 15 + d = g + 5*c. Let l = -12 + 41. Calculate the remainder when l is divided by g.
9
Let s(i) = i**3 + 8*i**2 - i - 5. Let x be s(-8). Suppose -3*r + x = -5*c, -2*c = 3*r - 1 - 23. Calculate the remainder when r is divided by 5.
1
Suppose z - 24 = -4*d - z, 2 = z. Suppose 58 = d*k - 97. Suppose -3*h + 4*j = -36, -j + 2*j = -3*h + 21. What is the remainder when k is divided by h?
7
Suppose q + 2 = 14. Let x(h) = -h**3 + 4*h**2 + 14*h + 2. What is the remainder when x(5) is divided by q?
11
Suppose 29 = 3*o - 4*n, -o = n + 3 - 1. Suppose 27 + o = 3*m. Let f(s) = -6*s + 1. What is the remainder when m is divided by f(-1)?
3
Suppose 2327 = -10*b + 2407. Calculate the remainder when 456 is divided by b.
0
Suppose -10549 + 3574 = -9*d. What is the remainder when d is divided by 19?
15
Suppose -c + 3 = -35. Suppose 0 = -2*g + 2*j + 42, 3*j - 37 = -2*g - 0*j. Calculate the remainder when c is divided by g.
18
What is the remainder when 66 is divided by 60/25*(-13 + 23)?
18
Let k(y) = y**3 - 18*y**2 + 2*y - 2. Let u be k(18). Suppose 4*t = -4*r + 172, r + 3*t - 1 - u = 0. Calculate the remainder when r is divided by 24.
23
Let m(f) = -29*f + 2 + 51*f - 25*f. Calculate the remainder when m(-9) is divided by 72/7 + (-10)/35.
9
Let g(t) = -7*t + 37. Let i be g(5). Calculate the remainder when 298*(i - (-12)/(-8)) is divided by 38.
35
Suppose -2*k + 150 = -3*d + 29, -5*d - 239 = -4*k. Calculate the remainder when 87 is divided by k.
31
Let f(r) = 5 + r + r**2 - 5 + 0 + r**3. Let l(w) = 7*w**3 + 4*w**2 + 6*w - 1. Let o(k) = 6*f(k) - l(k). What is the remainder when o(-4) is divided by 25?
22
Suppose -p + 2*n + 20 = 0, 5*n - 60 = -3*p + 2*n. Suppose -k = -6 - 5. Let q = p - k. Calculate the remainder when 25 is divided by q.
7
Let p = -123 + 144. Calculate the remainder when 76 is divided by p.
13
Let r be (-4)/(-3 + -1)*-1. Let u = 10 - r. Calculate the remainder when 51 is divided by u.
7
Let w(i) be the first derivative of i**3 - 3*i - 1 - 5/2*i**2. What is the remainder when w(-3) is divided by 20?
19
Suppose -3*c + 7 = 4*q - 2*q, q - c = 6. Suppose 3*i = 5*h + 6*i - 388, q*i = -h + 82. What is the remainder when h is divided by (2*-2)/((-6)/24)?
13
Calculate the remainder when 102 is divided by 1/(-8)*-2 + (-4554)/(-88).
50
Let u(m) = 2*m**2 + 5*m + 3. Let z be u(-3). Let b(f) = f**3 + f**2 - 2*f + 9. What is the remainder when (32/z)/((-4)/(-24)) is divided by b(0)?
5
Let k be 122/(-3) - (-34)/51. Let b = 51 + k. Suppose 0 = -i - 4*i + 200. Calculate the remainder when i is divided by b.
7
Let y = 1017 + -1006. What is the remainder when 316 is divided by y?
8
Let m = -33 + 47. What is the remainder when m is divided by 2?
0
Suppose 0*z + 548 = 4*z. Let f = 281 + -187. Let w = z - f. What is the remainder when w is divided by 11?
10
Let y be (4 + -90)*(-1)/2. Let r = -22 + y. Calculate the remainder when r is divided by 8.
5
Calculate the remainder when (10/8)/(2/8) is divided by ((-1)/5)/((-12)/180).
2
Suppose b + b = -8, 0 = 4*s - 5*b - 28. Suppose 0 = -s*v - 4*w + 12, 0 = 5*w + 5 - 0. What is the remainder when (29 + -3)*(-2)/(-4) is divided by v?
5
Calculate the remainder when 115 is divided by (-10)/70 + 2 + (-218)/(-7).
16
Let o(q) = 6*q**2 - 3*q + 16. Let y(r) = 5*r**2 - 3*r + 15. Let h(c) = -4*o(c) + 5*y(c). Calculate the remainder when 76 is divided by h(7).
37
Let h = -1309 - -1319. Calculate the remainder when 86 is divided by h.
6
Let z(o) = o**2 - 8*o + 16. Let c be z(9). Let u = c - 16. Calculate the remainder when 35 is divided by u.
8
Let f = 47 + -44. Let l = -27 + 110. Suppose a - f*w - 24 = 1, -2*a = 5*w - l. Calculate the remainder when a is divided by 12.
10
Let b = 1664 - 1458. What is the remainder when b is divided by 8?
6
Suppose 52 = n + 3*n. Suppose -s - n = -57. Calculate the remainder when s is divided by 12.
8
Suppose 124 = 11*p - 96. Let j(f) be the first derivative of f**3/3 + f**2 - 4*f + 1. What is the remainder when p is divided by j(-5)?
9
Let s = 12 - 8. Suppose -s*m + 8 = -12. Calculate the remainder when 19 is divided by m.
4
Let b(d) = 8*d - 198. Calculate the remainder when 61 is divided by b(26).
1
Let b = -13 + 23. Let h(r) = -30*r - 121. What is the remainder when h(-5) is divided by b?
9
Let g be (-4)/1 - 1*(-6 - -4). Calculate the remainder when 7 is divided by (g/3)/(-1*2/15).
2
What is the remainder when 172 is divided by (39 + -36)*(-25)/(-3)?
22
Suppose 14 = 13*k - 194. Calculate the remainder when (-63)/(-2) + (-9)/18 is divided by k.
15
Suppose -194 = -6*v - 74. What is the remainder when v is divided by 14?
6
Suppose -g + 19 = 3*t, 0*t = 3*g + 2*t - 50. Suppose -3*l + 8*l - 145 = 0. Calculate the remainder when l is divided by g.
13
Suppose 343 - 70 = 3*u. Calculate the remainder when u is divided by 32.
27
Let u = -39 + 32. Let i = 24 + u. Calculate the remainder when i is divided by 11.
6
Let a(r) = -r**3 + 6*r**2 + 7*r + 3. Let b be a(7). Let o(k) = k**2 + 3*k - 7. Calculate the remainder when o(b) is divided by 4.
3
What is the remainder when ((-23)/(-4) - 6) + (-197)/(-4) is divided by 31?
18
Let p(y) = 6*y + 19. Suppose 65 = -4*g + 9*g. What is the remainder when p(g) is divided by 11?
9
Let q = -423 - -502. Suppose 0*w + 20 = w. What is the remainder when q is divided by w?
19
Calculate the remainder when 238 is divided by 52 + -44 + (75 - 0).
72
Let l be (-6)/(-18) + 224/3. Suppose -5 = -5*y + 8*o - 3*o, -4 = -2*o. Suppose 0 = y*x - 42 - l. What is the remainder when x is divided by 10?
9
Suppose 2*h - 4 - 6 = 0. Let g = 18 - h. Calculate the remainder when g is divided by -3*2/(-3)*2.
1
Let x be (4/1)/(2 - (-9)/(-6)). Suppose -5*h = -x*h + 4*n - 2, -h + 16 = 2*n. What is the remainder when 17 is divided by h?
5
Suppose 6*a + 37 = a + 3*x, 10 = 2*a + 5*x. What is the remainder when 87 is divided by (-2 - a)/(18/54)?
6
Suppose 22*u + 42*u - 363 = 277. Calculate the remainder when (0 + -32)/(4/(-6)) is divided by u.
8
Suppose 0 = -3*a - 0*a + 24. Let c = -12 + a. Let x = c + 17. Calculate the remainder when 51 is divided by x.
12
Let h = -433 + 497. What is the remainder when 125 is divided by h?
61
Suppose z = -2*z - p + 742, 483 = 2*z + 3*p. Suppose 1 = 3*j - 2, -5*f + j + z = 0. Let x = 66 + -40. Calculate the remainder when f is divided by x.
24
Let p(j) = j**3 - 28*j**2 + 75*j + 27. Calculate the remainder when 134 is divided by p(25).
26
Let z(d) = -65*d**2 - 1. Let h be z(1). Let r be (-2)/10 + (-7084)/(-70). Let k = r + h. What is the remainder when k is divided by 19?
16
Suppose 0 = k - 2*r + 5, 0 = -3*k + r + 3*r - 7. What is the remainder when 59 is divided by -3 + 9 + (7 - k)?
9
Let p be (-7)/((-28)/32) - -4. Suppose -9*c + p*c = 369. What is the remainder when c is divided by 14?
11
Suppose -977 = -3*m + y - 267, -m = -3*y - 234. Calculate the remainder when m is divided by 11.
6
Suppose 2 + 13 = 5*o. Suppose n = -n - g, -3*n + 1 = g. Calculate the remainder when (-2)/(-4) - (-5 - n/2) is divided by o.
0
Suppose 11*q - 15 = 8*q. Suppose -5*j + 35 = q. Let b = j - -2. Calculate the remainder when 31 is divided by b.
7
Let q(k) = 2*k**3 + 25*k**2 - 15*k - 14. Let o be q(-13). Let n = 26 - o. Calculate the remainder when 54 is divided by n.
12
Let s(r) = 5*r**2 - 2*r + 1. Let x be ((-1)/4)/((-7)/28). Calculate the remainder when (12/20)/((-2)/(-70)) is divided by s(x).
1
Let i = -136 + 127. What is the remainder when 84 is divided by ((-18)/i)/(1/9)?
12
Suppose w + 5*i = -w + 66, -5*i - 74 = -3*w. Let b(k) = k**2 - 3*k - 13. Let q be b(8). What is the remai