54 = 0. Calculate the remainder when t is divided by v.
28
Let q(r) be the third derivative of -r**5/60 + 4*r**3 + r**2. What is the remainder when q(0) is divided by (-9)/(-81)*54 + 3?
6
Suppose -72 = -5*h - 2*d, 18*h + 5*d = 20*h - 23. Calculate the remainder when 1245 is divided by h.
13
Let a(s) = -2*s**3 + 13*s**2 - 12*s - 3. Let l be 1*((-2)/(-4))/((-13)/(-130)). Calculate the remainder when a(l) is divided by 7.
5
Suppose y + 3 = 0, h - 3*h - 5*y + 337 = 0. What is the remainder when h is divided by 91?
85
Suppose 3*f - 47 = -6*u + 2*u, 8 = -2*u. Calculate the remainder when 20/(3/(-1 - -16)) is divided by f.
16
Let c be (-6)/(-5) + (-18480)/(-350). Suppose -1488 = -c*s + 23*s. Calculate the remainder when s is divided by 22.
4
Let j(x) = x**3 - 10*x**2 - 127*x - 289. Suppose 3*r = -f + 19 + 18, 0 = 5*f + 4*r - 185. Calculate the remainder when f is divided by j(18).
3
Let l be (-20993 - -6)/(5/(-10)*-2). Calculate the remainder when l/(-248) - 9/(-24) is divided by 44.
41
Let g = -2234 - -2293. Calculate the remainder when 1531 is divided by g.
56
Let k be 52206/(-44)*(-4)/7. Suppose 206 = -8*r + k. What is the remainder when r is divided by 10?
9
Suppose -7*h + 3*g = -11*h + 140, 3*h = -3*g + 105. Suppose 37 = k + h. Calculate the remainder when 15 is divided by k.
1
Calculate the remainder when ((-552)/(-5))/((-186)/(-2480)) is divided by 211.
206
Suppose 862*o - 76 = -w + 858*o, 71 = w - o. What is the remainder when 128 is divided by w?
56
Let m = 18 + 48. Let n = m - -8. What is the remainder when n is divided by 20?
14
Suppose -715 = -2867*z + 2856*z. What is the remainder when z is divided by 30?
5
Let w = 6283 + -5866. What is the remainder when w is divided by 139?
0
Suppose c - 2078 = -4*i + 3*c, 3*i - 4*c - 1546 = 0. Suppose i - 186 = 6*t. Let s = 8 + 4. Calculate the remainder when t is divided by s.
8
Suppose -5*j + 454 = 129. Suppose -w + 23 = -j. Suppose 2*r - w = -0*r. What is the remainder when r is divided by 5?
4
Let s = 67 + -72. Calculate the remainder when (0 - -1)/(-5)*s*115 is divided by 30.
25
Let t(c) = c + 7*c**2 - 2*c**2 + 6*c - 4*c**2 + 18. Let a = -35 - -22. What is the remainder when t(a) is divided by 33?
30
Suppose -5*l - 2*z = 2*z + 194, 5*z + 195 = -5*l. Let w = 188 - l. Calculate the remainder when w is divided by 21.
16
Suppose 7*s - 3875 = -24*s. Let a(q) = -q**3 + 5*q**2 + 2*q + 8. Calculate the remainder when s is divided by a(5).
17
Suppose y = -5*i + 9, 0 = -3*y + 5*y + 3*i - 4. Calculate the remainder when 507/9 - ((-6)/(-9))/y is divided by 7/(-14)*(-60 - 0).
27
Suppose f - 2*v - 66 = 0, -3*f - 106 = 5*v - 337. Let w = f + -70. What is the remainder when (48/(-32))/((-3)/14) is divided by w?
1
Suppose -11 - 12 = 5*j - p, 2*p = 3*j + 18. Calculate the remainder when 80 is divided by (-24)/(-32) + 15/j - -24.
17
Calculate the remainder when 83 is divided by 21/6*-6*48/(-28).
11
Let s = 36 + -20. Let a(y) = -57*y - 80. Let g be a(-9). Suppose 432*m + 3 = g*m. Calculate the remainder when s is divided by m.
1
Suppose -1826*n = -1887*n + 305. What is the remainder when 53 is divided by n?
3
Let p(b) = -2*b**2 + 28*b + 116. Suppose 65 = 2*m - 55. Calculate the remainder when p(0) is divided by m.
56
Let o(x) = -37*x - 2633. Calculate the remainder when o(-84) is divided by 68.
67
Let m(p) = 3*p + 56 - 57 + 26. What is the remainder when m(16) is divided by 25?
23
Let t = -133 - -133. Suppose t = -11*i + 7*i + 32. Let l = 13 + i. What is the remainder when 82 is divided by l?
19
Suppose 3*b = 5*b. Suppose -v - 62 = 2*y - 6*v, -y + 5*v - 21 = b. Let o = 47 + y. What is the remainder when o is divided by 5?
1
Suppose 4*x - 48*f - 19 = -47*f, 0 = -5*f + 25. Suppose -r + 16 = -b, 6*b - x = 9*b. Calculate the remainder when 82 is divided by r.
12
What is the remainder when 247 is divided by 16268/224 - 12/(-32)?
28
Let w(h) = h**2 + 75*h - 212. Calculate the remainder when 151 is divided by w(-79).
47
Suppose 4*b = 4*s + 216, 5*s - 2*b + 5*b + 278 = 0. Calculate the remainder when (3/(-5) + 22/s)*-81 is divided by 4.
1
Let d(q) = 2 + 4*q + 3 + 4 + 0. Let l be d(13). Let r = l + -52. What is the remainder when r is divided by 7?
2
Let t(f) = f**2 + 100*f + 1962. Calculate the remainder when 1905 is divided by t(-75).
78
Let g(z) = -16*z + 2. Let m be g(-5). Let q = -2980 - -2966. Let d = q + m. What is the remainder when d is divided by 19?
11
Suppose 44*k = 46*k - 208. Calculate the remainder when 182 is divided by ((-195)/k)/(-15) + (-1502)/(-16).
88
Suppose -2*b + 0*b - 5*w + 1136 = 0, -2*w - 577 = -b. Let d = 2057 - 2032. What is the remainder when b is divided by d?
23
Suppose -10*v + 4664 + 1786 = 0. Suppose -45*u + v = -40*u. What is the remainder when u is divided by 22?
19
Suppose -i = -5*i + 116. Let l = 115 - 131. Let b = i + l. Calculate the remainder when b is divided by 7.
6
Suppose -r - b - 54 = 4*r, -4*b + 15 = -r. Calculate the remainder when 92 - (-6 - r - 4) is divided by 24.
19
Let d(l) = -l**3 - 8*l**2 + 12*l + 12. Let j be d(-9). Let c = 46 + j. Suppose -4*h + 3*h + c = 0. What is the remainder when h is divided by 19?
12
Let i = 184 - 184. Suppose i = -3*p + 15, -199 = -4*d + 3*p + 2*p. What is the remainder when 111 is divided by d?
55
Suppose -2*l + 2*d = -8, -6*l - 16 = -l + 4*d. Let o(y) = y**2 + 7*y + 18. Calculate the remainder when 65 is divided by o(l).
11
Let u be 6/((-10)/(-225)*5). Suppose -14 = j - u. Let x = 2 + j. What is the remainder when x is divided by 9?
6
Suppose -4 = -2*d + 4*t, -5*d + 2*t - 3 = 5*t. Suppose -19*g + 30*g - 110 = d. Calculate the remainder when 22 is divided by g.
2
Let v = -3118 + 3159. Let z = 38 - 24. What is the remainder when v is divided by z?
13
Let c be (-3)/(-12) - (-3)/(-12). Let n = c - -1. Calculate the remainder when 12/(-5) + (-18)/(-45) - -6 is divided by n.
0
Suppose -6*z + 94 + 272 = 0. Suppose 10*d = 89 + z. Calculate the remainder when 57 is divided by d.
12
Let t = -5065 - -6300. What is the remainder when t is divided by 37?
14
Let w = 1515 + -691. Let b = 847 - w. What is the remainder when 55 is divided by b?
9
Let r = -105 - -121. Let k = 274 - r. Suppose k = q + 39. Calculate the remainder when q is divided by 13.
11
Let n = 72 + -40. Suppose -25 + 25 = 9*b. Suppose b = 64*y - 58*y - 348. What is the remainder when y is divided by n?
26
Let y(h) = -2*h**3 + 257*h**2 - 119*h - 1108. Suppose s - 2*a = -0*a + 224, 3*s = a + 647. Calculate the remainder when s is divided by y(128).
38
Let b = -210 + 214. Suppose -2*t + h + 35 = 0, -40 = -3*t - 5*h + b*h. What is the remainder when 87 is divided by t?
12
Let q(m) = -m**3 + 5*m**2 + m + 9. Suppose 19*v - 15*v + 308 = 0. Let k = -68 - v. Calculate the remainder when q(5) is divided by k.
5
Let q(s) be the third derivative of 3*s**4/8 - 25*s**3/6 + 14*s**2 - 3*s. What is the remainder when q(8) is divided by 24?
23
Suppose -5*k + 3*p = 7*p - 89, -4*k = p - 80. Let b = k + -17. Calculate the remainder when 23 is divided by b.
3
Let r(l) = -23*l**2 + l - 6. Let d be r(2). Let h = d - -101. What is the remainder when h is divided by 4?
1
Suppose 3 = -3*a + t - 4*t, 5*a = -4*t - 6. Calculate the remainder when (-32 + (a - -8))/((-4)/6) is divided by 20.
19
Suppose 2*z - 24*i + 28*i = 374, 184 = z + 3*i. Suppose -r + z = 28. Calculate the remainder when r is divided by 46.
27
Let j(d) = 15*d**2 - 3*d - 2. Let t(o) = o**2 - 6*o + 7. Let n be t(2). Let c = 80 + -51. Calculate the remainder when c is divided by j(n).
13
Let i be (-15)/4*8544/(-72). Let c = -391 + i. Calculate the remainder when 159 is divided by c.
51
Let c = 14 + -2. Suppose 18*x - 968 = -950 + 1458. Calculate the remainder when x is divided by c.
10
Let y(v) = 4*v + 59. Let s(f) = -3*f - 60. Let x(d) = -4*s(d) - 5*y(d). Let i = -7053 + 7045. What is the remainder when 17 is divided by x(i)?
8
Suppose -b = -2*a + b + 18, 14 = a + 4*b. Let o be (-58*(3 + -4) + -2)/(-1). What is the remainder when (o/(-36))/(-7) + (-254)/(-9) is divided by a?
8
Suppose -2*o + 6101 = z, 2*o = 2*z + 1783 + 4309. What is the remainder when o is divided by 46?
13
What is the remainder when -77 + 180 + -2*11/(-2) is divided by 46?
22
Suppose 5*o + 5*g = 11800, 0 - 5 = -5*g. What is the remainder when o is divided by 16?
7
Let s be (8 - 22