
Suppose 2*b - 3*h = -0*b + 11, -22 = -5*b + 2*h. Suppose 4*k - 8*k + 144 = b*w, -4*k - 2*w + 146 = 0. Calculate the remainder when 99 is divided by k.
25
Suppose 0 = -41*z + 39*z + 56. Let t = -107 + 186. What is the remainder when t is divided by z?
23
Suppose -z - 5*p = -6*p - 167, 4*z = -p + 668. What is the remainder when z is divided by (-102)/(-8) - (4 + (-102)/24)?
11
Let i(z) = 565*z**2 - 304*z + 2133. Calculate the remainder when i(7) is divided by 86.
84
Let r = -342 - -414. Calculate the remainder when 489 is divided by r.
57
Suppose 4*c = 0, 0*w + 2*w - 2*c + 5 = 35. Let f = 555 + -363. What is the remainder when f is divided by w?
12
Calculate the remainder when ((-30)/45 + (-177)/(-9))/(1/26) is divided by 156.
26
Suppose 2080 = 18*c - 1196. Suppose c = 5*u + 2*u. Let f = 68 - -58. Calculate the remainder when f is divided by u.
22
Let v = -2259 - -2949. What is the remainder when v is divided by 71?
51
Let u(t) = t + 11. Let y be u(7). Suppose -y*l - 14 = -20*l. What is the remainder when (13/4)/((-1)/(-4)) is divided by l?
6
Suppose 2*r - 41 - 101 = 2*m, -3*m - 79 = -r. What is the remainder when r is divided by 10?
7
Calculate the remainder when -1 + 1 + (53235/(-21))/(-13) is divided by 5.
0
Let h(w) = 4710*w**2 + 73*w - 72. What is the remainder when h(1) is divided by 1568?
7
Let o = 163 - 104. Let c(p) = p + 9. Let h(d) = -13*d - 149. Let f be h(-12). Calculate the remainder when o is divided by c(f).
11
Let g(b) = b + 82. Let f be g(8). Let i = f + 199. Calculate the remainder when i is divided by 97.
95
Let r be 1 + -7 + 3 + 334. Let q = 402 - r. What is the remainder when q is divided by 15?
11
Calculate the remainder when 173 is divided by 1/((-5)/(-9 - 1)) + (-371)/(-7).
8
Let k(p) = 22*p**2 - 18*p - 118. Calculate the remainder when k(-5) is divided by 165.
27
Suppose -4*h - 46 = 126. Let n = -58 - h. Let y(c) = -c - 7. What is the remainder when 85 is divided by y(n)?
5
Suppose 6*v - 1692 = -3*v. Suppose -5*o = -0*o. Suppose 4*i + 2*b + o*b = v, 49 = i + b. What is the remainder when i is divided by 12?
9
Suppose 0 = 1252*h - 1265*h + 351. Calculate the remainder when 1565 is divided by h.
26
Suppose 82 - 412 = -5*w. What is the remainder when w is divided by 24 + 0/(-4 + 5)?
18
Let o(u) = u - 11. Suppose -3*h + 6*h - 501 = 0. Suppose h = 3*r - 370. What is the remainder when r is divided by o(25)?
11
Suppose 5*s - 13*n + 12*n - 9 = 0, -s - 3 = -5*n. Suppose 0 = s*j - 6*j - 2*b + 100, 2*b - 19 = -j. What is the remainder when 32 is divided by j?
5
Suppose 50*j = 48*j + 8, 0 = 5*k + 2*j - 288. What is the remainder when (84/k)/((-9)/(-984)) is divided by 48?
20
Suppose 0 = 2*u - x - 874, 5*u = 30*x - 21*x + 2185. Calculate the remainder when u is divided by 27.
5
Let i be 51/(-17)*(-1784)/6. Suppose -32*g + i = -452. Calculate the remainder when 46 is divided by g.
4
Suppose 37 = 25*u - 88. Suppose -37*c + u*c = -12416. Calculate the remainder when c is divided by 39.
37
Suppose -4*h - 5*a + 173 = 0, 2*h - 29*a = -30*a + 79. What is the remainder when 416 is divided by h?
9
Suppose 0 = -9*v + 56 - 11. Suppose v*j + 3 = 8*j + 3*t, 4*j = 3*t + 39. Calculate the remainder when 119 is divided by j.
5
Suppose 0 = -2*o - 4*b + 124, -2*b + 4*b = -10. Suppose -o*z + 69*z = -24. Let c = 18 + 12. Calculate the remainder when c is divided by z.
6
Let b be 18/(-6) - -1 - -4. Suppose -l - b*n = -229, -4*l - 936 = -8*l - 4*n. What is the remainder when l is divided by 20?
19
Suppose -14*c - 51 = -588 - 359. Calculate the remainder when 11389 is divided by c.
61
Let u = 3572 + -3521. Calculate the remainder when 242 is divided by u.
38
Calculate the remainder when (5154/(-8))/((-5)/(-8))*(-740)/222 is divided by 18.
16
Let q = -162 - -130. Let n = q + 200. Calculate the remainder when n is divided by 17.
15
Suppose c + 3 = 4*b - 189, -48 = -b + 4*c. Let v = 5703 + -5672. What is the remainder when b is divided by v?
17
Let v be (-6)/(-2) - (496 - 7)/3. Calculate the remainder when 21 is divided by (53/3 - 1)*(-192)/v.
1
Suppose -5*g - 4*j + 53 = -0*g, 2*g + 3*j - 17 = 0. Calculate the remainder when 355 is divided by g.
4
Suppose 4*b + 25*p - 483 = 26*p, -5*p - 15 = 0. Calculate the remainder when b is divided by 16.
8
Let w = 1333 - 1252. Suppose -o - 560 = -5*o. Suppose -4*x + o = x. What is the remainder when w is divided by x?
25
Let r(x) = -117*x - 5601. What is the remainder when r(-53) is divided by 14?
12
Let d(c) be the third derivative of -c**5/60 - 5*c**4/24 + 23*c**3/3 + 32*c**2. Let t be d(-8). Let k = 30 - t. What is the remainder when k is divided by 3?
2
Suppose 21*h - 41*h - 72 = -21*h. What is the remainder when 82 is divided by h?
10
Suppose 62 - 42 = 5*d. Calculate the remainder when 26 is divided by (-32 - (0 + d))/(-2).
8
Let y(m) be the second derivative of m**5/20 - m**3/6 + 47*m**2/2 + 2*m. Let a be -2*3 - (26 - 32). Calculate the remainder when y(a) is divided by 13.
8
Suppose c - 4*l - 25 = 0, 3*c - 53 - 62 = 4*l. Suppose 0 = -3*j + 6. Suppose 30 = j*s + 3*d, 3*s - d + 3*d = 40. What is the remainder when c is divided by s?
9
Suppose -z = -130 - 8. Suppose 2*w = 3*l - 143, 3*w + z = 6*l - 3*l. Suppose l = 3*d - 3*y, -5*d + 73 = -y - y. Calculate the remainder when 60 is divided by d.
8
What is the remainder when 66 + 12/8*8 is divided by 4 - 2 - (-168)/4?
34
Suppose 205 = 4*j - 5*y, -10*j - 5*y + 235 = -6*j. Let v(o) = -59*o**3 + 6*o**2 + 4*o + 3. Calculate the remainder when v(-2) is divided by j.
51
Suppose -4*q = -3*b + 897, 597 = 13*b - 11*b - 3*q. Calculate the remainder when b is divided by 51.
48
Let t(j) = -j**2 - 11*j + 2. Let p be t(-9). Suppose u - n = 4*n + 35, p = 5*n. Suppose 19 = -58*q + 59*q. Calculate the remainder when u is divided by q.
17
Let p = 485 + -451. Suppose 7*l + 83 = 2*a + 4*l, 0 = -a - l + p. Calculate the remainder when a is divided by 13.
11
Let h = 18109 + -18034. What is the remainder when 364 is divided by h?
64
Suppose 107*v - 5519 = 4218. What is the remainder when 3546 is divided by v?
88
Suppose -5*i = -2*h - 763 - 1125, -4*h = -i + 392. What is the remainder when i is divided by 77?
68
Let h be (16/36)/((-2)/(-9)). What is the remainder when 216 is divided by h/(-7) - 4257/(-77)?
51
Suppose -5*w - 4*h + 199 = -218, -2*h = 2*w - 168. Suppose w*n - 69*n = 636. Calculate the remainder when 315 is divided by n.
50
Suppose -45 + 5 = -5*s. Calculate the remainder when 5/(550/66)*25 is divided by s.
7
Let s(b) be the first derivative of -b**4/2 - 2*b**3/3 + 112*b - 57. Calculate the remainder when s(0) is divided by 12.
4
Let g(s) = s**3 - 8*s**2 - 2*s - 9. Let t be (-874)/(-133) - 6/(-14). Suppose -49 = -t*l + 14. Calculate the remainder when g(l) is divided by 5.
4
What is the remainder when 3 - -865 - (5 + 5) is divided by 34?
8
Suppose -2*z = -2*l - 4, -4 = -4*z + 4. Suppose l*d = 24*d - 408. Calculate the remainder when 63 is divided by d.
12
Let s = 123 - 127. Let d be (s/(-10))/(28/5110). Suppose -3*u - 5*y - 103 = -5*u, d = 2*u + y. Calculate the remainder when u is divided by 22.
17
Suppose 0 = 5*n + 4*k - 325, 3*k - 54 - 22 = -n. Let d = -93 + n. Let u = -19 - d. What is the remainder when 34 is divided by u?
8
Let h be (-3 - (-7 + 2)) + 3 + -3. Suppose 2*m + 2*z - 50 = 0, 7 + 9 = 4*z. Calculate the remainder when m is divided by (h - 3 - 5)*20/(-10).
9
Let h(z) = -28*z + 18. Let j = -1543 + 1553. What is the remainder when h(-6) is divided by j?
6
Let i = 1296 + -1285. Calculate the remainder when 11 is divided by i.
0
Let a(s) = -5*s**2 + 15*s - 90. Let y be a(7). Let v = y - -266. Calculate the remainder when v is divided by 10.
6
Suppose 5*g = -2*u + 1188, 22*u - 27*u - 11*g = -2967. What is the remainder when u is divided by 59?
58
Let f be (0 - 1)*(-5)/25*5. Let d = 30 + f. Suppose -d = -7*z + 340. Calculate the remainder when z is divided by 28.
25
Let u = 238 - 235. What is the remainder when 45 is divided by 28/21 - (-32)/u?
9
Let r(l) = -l**3 - 25*l**2 - 7*l - 14. Let k(j) = -j**3 + 11*j**2 + 26*j - 25. Let a be k(13). Calculate the remainder when r(a) is divided by 25.
11
Let g(c) = -c**3 + 8*c**2 + 9*c. Let h be g(-6). Let j = h + -289. Suppose -3*b + 12 = 0, 3*b - 2*b = 5*z - j. Calculate the remainder when 96 is divided by z.
30
Suppose 116*f