the remainder when 2217 is divided by p.
12
Let o(w) = 38*w**3 - w**2 - 7*w + 6. Suppose -3*y - j + 10 = 0, 2*j + 0 - 6 = y. Calculate the remainder when o(y) is divided by 42.
40
Suppose 0 = 10*t + 1156 + 1544. Let f = -145 - t. Calculate the remainder when f is divided by 8.
5
Let c = -34198 + 34391. Calculate the remainder when 973 is divided by c.
8
Let r be 0 + 0 + 19/((-38)/(-796)). Let d = r - 382. Calculate the remainder when 61 is divided by d.
13
Let x = -64 - 38. Let h = -85 - x. What is the remainder when 60 is divided by h?
9
Suppose 7*q - 2426 = -2377. What is the remainder when 684 is divided by q?
5
Suppose -2*z + 5 = 1. Suppose 0 = 3*w - z*w - 110. Let j(l) = 7*l + 3. Calculate the remainder when w is divided by j(5).
34
Let b(u) = u**2 + u - 1. Let q(t) = t**3 + 26*t**2 + 61*t - 52. Let s(n) = 3*b(n) - q(n). Calculate the remainder when 39 is divided by s(-20).
3
Suppose 0 = -5*j - g + 4311, 2*j = 4*g + 994 + 748. What is the remainder when j is divided by 16?
15
Suppose -27 = -9*m + 9. What is the remainder when 31 is divided by (-65)/2*(-4)/20*m?
5
Suppose 2*y = 120*d - 119*d - 246, -5*d + 1248 = -y. Let r = 30 - 16. What is the remainder when d is divided by r?
12
Suppose 3*c - 3*s = -0*s + 48, 5*c - 40 = -5*s. Let d be ((-2)/(-6))/((-8)/312). Let i = c - d. What is the remainder when i is divided by 7?
4
Suppose 4*p - 37 = -5*i + 27, -i = -p + 7. Suppose 80 = -3*d + 5*d. What is the remainder when d is divided by p?
7
Let y = 4 + 13. Let b = -1277 + 2053. Let i = -773 + b. What is the remainder when y is divided by i?
2
What is the remainder when (-24 - 2835/(-108))/(1/344) is divided by 56?
46
Let h = 7255 - 4163. What is the remainder when ((-9)/(36 + 0))/((-1)/h) is divided by 86?
85
Suppose -f + 6*f = 3*j + 90, -5*f = -4*j - 90. Let s be (3 - 2)/((-2)/10). Let h = s + f. What is the remainder when 49 is divided by h?
10
Let m be -28*(0 + (-12)/21). Suppose -5698 = -m*d - 6*d. Calculate the remainder when d is divided by 29.
27
Suppose -3*q + p = -0*p + 99, -2*q + 2*p = 62. Let t = -28 - q. Let r(d) = 4*d + 1. Calculate the remainder when r(t) is divided by 9.
7
Let b(d) be the third derivative of d**4/12 + 40*d**3/3 + 82*d**2. What is the remainder when b(-11) is divided by 31?
27
Let m(x) = -10*x**2 - 601*x - 73. Calculate the remainder when m(-53) is divided by 56.
50
Let m be -3 - (-1 - 1 - 4). Suppose 0 = 6*c - m*c - 411. What is the remainder when c is divided by 35?
32
Let m(l) = -9*l + 30. Calculate the remainder when m(-3) is divided by -16*((-9)/(-2) + -6).
9
Suppose 3*w + 568 = 5*m, -18*w + 17*w + 4 = 0. What is the remainder when 1620 is divided by m?
112
Suppose 4*l = -4*o + 380, -5*o - l = 36 - 527. What is the remainder when o is divided by 43?
13
Suppose -111*n + 24012 = 117*n + 186*n. What is the remainder when 269 is divided by n?
37
Let l = 5397 - 5284. Calculate the remainder when 414 is divided by l.
75
Let r(w) = w**2 + w - 2. Let j = -6 - -10. What is the remainder when (-14 + 8)*(-25)/15 - -23 is divided by r(j)?
15
Suppose 0 = 5*f + 66 - 6321. Suppose 5*l = -r + f, 8*l = 5*l + r + 757. What is the remainder when l is divided by 63?
62
Let q(z) = -2*z**2 - 375*z - 2565. Calculate the remainder when q(-179) is divided by 29.
14
Let g(j) = -j**3 + 4*j**2 + 2*j - 7. Let q be g(4). Calculate the remainder when (q/(-5)*5)/((-2)/122) is divided by 4.
1
Let u = 168 + -162. Let c = 116 - 66. Calculate the remainder when -12*4/u*(1 + -32) is divided by c.
48
Let o(m) = 14*m - 132. What is the remainder when (11/(-33) - 574/(-3))/1 is divided by o(11)?
15
Suppose -k - 4*u + 30 - 2 = 0, 3*k - 94 = -2*u. Calculate the remainder when k is divided by ((-60)/(-14) - -2)/((-34)/(-119)).
10
Let j be (4/(-3))/((-16)/48). Suppose 2*c - j*o - 4 = -2*o, -5*c + o + 18 = 0. What is the remainder when (1 - -8)/(c/12) is divided by 11?
5
Suppose 511*y - 512*y = -3*r - 1304, 3*y = -4*r + 3847. Calculate the remainder when y is divided by 117.
2
Let r(c) = 4*c**2 + c + 3. What is the remainder when 2445 is divided by r(-3)?
33
Let p(w) = 18*w**3 - 2*w**2 + 35*w - 34. What is the remainder when 1314 is divided by p(1)?
5
Let o be 25*1/(-2)*-2. Suppose -1003 = 8*s - o*s. Calculate the remainder when 173 is divided by s.
55
Suppose 5*w = 3*f + 957, -w + 50 = -3*f - 139. Suppose 3*b = -13*y + 15*y - 128, -b + w = 3*y. Calculate the remainder when 253 is divided by y.
61
Suppose 0 = -8*n + 12 + 20. Suppose -7*q + 93 = -n*q. Calculate the remainder when 245 is divided by q.
28
Let d be ((-2)/(-6))/((6/63)/2). Suppose 12 = d*g - 4*g. Suppose 0*i + 3*i = 21. What is the remainder when i is divided by g?
3
Let s(b) be the third derivative of b**5/30 - b**4/6 - 7*b**3/3 - 47*b**2 - b. Calculate the remainder when s(7) is divided by 19.
18
Suppose -r + 2*r = 8. Let m be (-9)/6*((0 - 5) + -3). Calculate the remainder when 8*m/(-7 + 13) is divided by r.
0
Suppose -4*d + 189894 = 2*j, -30*j + 94951 = 2*d - 33*j. What is the remainder when d is divided by 143?
141
Suppose -8065*r = -8052*r - 1131. Calculate the remainder when r is divided by 34.
19
Let z = -3414 - -4641. What is the remainder when z is divided by 15?
12
Let c(i) = 18*i**2 + 84*i - 184. Calculate the remainder when c(13) is divided by 8.
6
Calculate the remainder when -3*52/39 + (-134)/(-2) is divided by 6.
3
Let c be 96/(-44) + -5 - 2/(-11). Suppose 0*h = 3*h + 93. Let y = c - h. Calculate the remainder when 143 is divided by y.
23
Suppose 2120*g - 2113*g - 917 = 0. Calculate the remainder when 1178 is divided by g.
130
Let m = 360 + -313. Let i be 11 + 4 + (0 - 2). Suppose -3*c - m = -5*o, 2*c + i + 9 = 2*o. Calculate the remainder when o is divided by 2.
1
Let v(z) be the second derivative of z**4/3 - z**3/3 + 70*z**2 - 13*z. Calculate the remainder when v(0) is divided by 48.
44
Suppose 31 = f - 78. Let l be (-80)/(-1) - (-224)/28. Suppose -30*z + 26*z = -l. Calculate the remainder when f is divided by z.
21
Suppose 23*y = 20*y + 141. Calculate the remainder when y is divided by 3 + 1 + -5*(0 + -2).
5
Let a = 22522 - 22501. Calculate the remainder when 1257 is divided by a.
18
What is the remainder when 781 is divided by ((-15906)/(-4))/11 + 49/98?
57
Suppose -9*v = l - 5189 + 188, 0 = 3*v - 3*l - 1647. What is the remainder when v is divided by 186?
183
What is the remainder when 1078 is divided by ((-25)/(225/(-378)))/(1/(5/10))?
7
Let v = -11 + 8. Calculate the remainder when 366/(-4)*32/(-48) + v is divided by 12.
10
Suppose 0 = -a + 2, -4*a + 2061 + 19212 = 5*s. What is the remainder when s is divided by 185?
183
Let p(k) = 21 - 5*k**2 + 15*k**2 - 28*k**3 + 15*k**3 + 14*k**3. Calculate the remainder when 59 is divided by p(-10).
17
Let g = -1309 + 3716. Calculate the remainder when g is divided by 56.
55
Let o be 3*1/(1/(-8)). Suppose -25*c + 27*c = 8. Calculate the remainder when ((-74)/c)/(o/48) is divided by 11.
4
What is the remainder when 1032 is divided by 14 + -22 - (-241 + 8)?
132
Let x(j) = -j + 17. Let d be x(12). Suppose -f - g - g - 49 = 0, -d*f - g = 200. Let i = -2 - f. Calculate the remainder when 71 is divided by i.
34
Calculate the remainder when (86 + -88)*(-909)/2 is divided by 91.
90
Let p = 3700 + -3657. Calculate the remainder when 474 is divided by p.
1
Suppose -161 - 139 = -12*i. Suppose 289 - i = 6*t. Calculate the remainder when t is divided by 19.
6
Let g = -931 - -1084. Calculate the remainder when 313 is divided by g.
7
Let d be -2*(2 - 33/6). Let p(x) = x**3 - 7*x**2 + 7*x - 41. Calculate the remainder when p(d) is divided by 7.
1
Calculate the remainder when ((-21)/12)/(607/(-2100) - (-38)/133) is divided by 58.
3
Let n(p) = -3*p + 1. Let b = -23465 + 23983. What is the remainder when b is divided by n(-4)?
11
Let j(l) = 4*l - 142. Suppose 12*r - 60 - 420 = 0. What is the remainder when 192 is divided by j(r)?
12
Let p(x) = x**2 + 110*x - 3462. Calculate the remainder when p(-140) is divided by 719.
19
Let h = 282 - 371. Calculate the remainder when 117 is divided by (-3)/(-18) + h/(-6) - 3.
9
What is the remainder when -3*1127/(-21)*2 is divided by 83?
73
Suppose 12 = -3*x + 5*v + 224, -5*x = 4*v - 304. Let s = -21 + 50. Suppose 0 = -g + x + s. What is the remainder when g is divided by 24?
21
Suppose -18*z - 20 = -290. Let a