ded by p.
21
Let f(p) = 12*p**3 + 2*p**2 + 9*p + 6. Let a be f(-3). Let j = 75 - a. What is the remainder when j is divided by 27?
24
Let z(v) = -2*v + 31*v**3 - 12*v**3 - 4*v**2 - 15*v**3 + 6. Suppose 0 = 4*j + 16 - 92. Calculate the remainder when z(3) is divided by j.
15
Let n(o) be the third derivative of 13*o**5/60 - 7*o**3/3 + 6*o**2 + 11*o. Calculate the remainder when n(2) is divided by 15.
8
Let m(t) = 198*t**2 - 73*t - 72. Calculate the remainder when 723 is divided by m(-1).
126
Let c(n) = -2*n**2 - 65*n - 104. What is the remainder when 180 is divided by c(-30)?
42
Let r(k) = 4*k**2 + 58*k + 42. What is the remainder when 116 is divided by r(-14)?
4
Suppose 0 = 5*s - 5*r - 865, -2*s - r + 485 - 142 = 0. Calculate the remainder when s is divided by 95.
77
What is the remainder when 234 is divided by -172 + 158 + 98/2?
24
Let m = 22198 + 3664. Calculate the remainder when m is divided by 212.
210
Suppose -10*p + 1428 = 11*p. Let z = -458 - -483. Calculate the remainder when p is divided by z.
18
Let v = 5204 - 5105. What is the remainder when 302 is divided by v?
5
Suppose -592 = -4*s + 4*p, 3*s + 66*p - 416 = 62*p. What is the remainder when s is divided by 11?
1
Suppose 20*c = 10700 + 19240. What is the remainder when c is divided by 79?
75
Let w be 969 - (-9 + 3 - -9). Suppose 81*t = 74*t + w. What is the remainder when t is divided by 20?
18
Suppose -x + 3*h = -71, 2*x - 3*h - 134 + 16 = 0. Let a(p) = -p**3 + p**2 - p + 21. Calculate the remainder when x is divided by a(0).
5
Let x = 108 - 87. What is the remainder when x is divided by 2/15*1 - (-296)/30?
1
Let j be (7/((-70)/(-4)))/((-4)/(-40)). Suppose -3*o = 5*i - 593, 82 = -j*i + 5*o + 549. What is the remainder when i is divided by 61?
57
Suppose -3*n - 936 = -4*a + 2031, 2*n = 3*a - 2225. Calculate the remainder when a is divided by 242.
15
Suppose 4*h + 4*t - 16 = 0, -2*t - 2*t = h + 5. Let i = 477 + -416. Calculate the remainder when (i - -2) + (-124)/(-31) is divided by h.
4
Suppose 5*v - 10*v = 0. Suppose v = 5*z, 5*z - z + 345 = 5*d. Let y = 53 + d. Calculate the remainder when y is divided by 25.
22
Suppose 0 = f - u + 5, 36*f - 31*f + 5 = -5*u. Let q(t) = 7*t**3. Let g be q(1). Calculate the remainder when 38 is divided by (g - -2) + 3*f/9.
6
Suppose -5*p + 180 = -2*s + 52, -4*p + 4*s + 100 = 0. Let j be -4 + 0 + (-70)/(-5). What is the remainder when p is divided by ((-280)/50)/((-4)/j)?
12
Suppose 0 = 4*m + c + 122, 0*m = -3*m - 5*c - 100. Suppose 5*k - 614 = -899. Let d = m - k. Calculate the remainder when d is divided by 6.
3
Suppose 0*k - 2*k = -6. Let n(c) = 9*c**2 + 35*c - 125. Calculate the remainder when n(3) is divided by 490/15 + (-2)/k.
29
Suppose -n + 35 - 36 = 0. Let a be (-2)/n - (-4)/1. Suppose 3*p - a = -5*c + 4*c, -5*c + 5*p + 10 = 0. What is the remainder when c is divided by 2?
1
Let f(a) = 1. Let z(u) = 6*u - 19. Suppose -5*t - 40 = -2*b, t + 7*b - 4*b = 9. Let r(q) = t*f(q) + z(q). What is the remainder when 44 is divided by r(7)?
10
Suppose -3*l - 3*p + 1320 = 0, -2*p - 2193 = -l - 4*l. Suppose 7412 = 70*n + 148*n. Calculate the remainder when l is divided by n.
31
Suppose -58*o = -30*o - 403 - 17. Let n = -94 + 140. Suppose 0 = 3*b + 4*a - n - 107, 232 = 4*b - 4*a. Calculate the remainder when b is divided by o.
10
What is the remainder when 351 is divided by (410/(-287))/(6/(-210))?
1
Suppose 0 = -4*w + 12, -5*x + 706 = -0*w - 3*w. What is the remainder when 440 is divided by x?
11
Suppose 3*g + 113*b - 802 = 112*b, -5*b + 300 = g. What is the remainder when 863 is divided by g?
68
Suppose -19 = -4*p + 25. Suppose 4*y + p*y = 255. Calculate the remainder when y is divided by 5.
2
Let g = 1545 + -1474. Calculate the remainder when 694 is divided by g.
55
Let a = -91 - -131. Let k(c) = 39*c + 2. Let n be k(5). Let g = n + -195. Calculate the remainder when a is divided by g.
0
Let a = 292 - 181. Let i = -98 + a. What is the remainder when 18 is divided by i?
5
Let l = 192 + -173. Let p = l - -17. Calculate the remainder when p is divided by 14.
8
Suppose 3*b = -2*d + 821, d - 2*b - 90 - 324 = 0. What is the remainder when 1250 is divided by d?
14
Let a = -238 + 335. Let o = -81 + a. What is the remainder when 143 is divided by o?
15
Suppose 78 = 19*a - 17. Suppose -5*p = -a, 3*p = 2*s - 33 - 24. What is the remainder when s is divided by 19?
11
Let b(c) be the second derivative of -27*c + c**3 + 3/2*c**2 + 0 + 7/6*c**4. What is the remainder when b(-2) is divided by 13?
8
Let z(b) = b**2 - 39*b + 217 - 14*b**2 + 12*b**2. Calculate the remainder when 176 is divided by z(-43).
41
Let n(m) = 1000*m + 37119. What is the remainder when n(-37) is divided by (-30)/(-1 + (-1)/2)?
19
Let t = -3465 + 3513. Calculate the remainder when 283 is divided by t.
43
Suppose 3*d + 2*d + 3*h = -2311, 5*h = 4*d + 1871. What is the remainder when 120 is divided by d/(-21) + (-82)/861?
10
Let g = 11 + 176. Suppose 0*o - 11*o = -g. What is the remainder when 78 is divided by o?
10
Suppose -7*m - 4*m = 66. What is the remainder when 10 + m - 280/(-2) is divided by ((-2)/3)/(2/(-111))?
33
Let a(y) = -32*y + 4. Calculate the remainder when a(-5) is divided by (-1764)/56*-1*8/3.
80
Suppose 2*y + 133 + 96 = 5*f, 5*f = -5*y - 660. Let g be (-11)/(1 - (-12)/(-14)). Let c = g - y. What is the remainder when c is divided by 27?
23
Let w = -47 + 53. Suppose -3*s - 3 = -w*s. What is the remainder when 10 is divided by -3 + -6 + 7 - (-7 - s)?
4
Suppose 188*m - 162*m - 910 = 0. What is the remainder when 151 is divided by m?
11
Suppose 2*b + 34 - 70 = 0. Let a = 272 - -145. Calculate the remainder when 153 is divided by (a/b - 4/24) + 3.
23
Suppose -x - 1 = 3*h, -2*h + h + 4 = -4*x. Suppose 4*m + 7*n - 6*n - 60 = h, -16 = 4*n. What is the remainder when m is divided by 16?
0
Suppose 4*o - 2*a = 31 + 227, 5*o = -3*a + 350. What is the remainder when 4890 is divided by o?
66
Let x(b) = 147*b - 3044. Calculate the remainder when 88 is divided by x(21).
2
Calculate the remainder when 401 is divided by 2*-3 - 7*((-9 - -20) + -30).
20
Calculate the remainder when 6253 is divided by ((-6)/15)/(19418/(-3230) - 6*-1).
31
Suppose 10*s - 1883 = 2553 + 2634. What is the remainder when s is divided by 17?
10
Suppose 0 = 5*p + w - 119, 92*w = 5*p + 94*w - 113. What is the remainder when p is divided by (-1 + (-26)/4)*20/(-30)?
0
Let f = 30112 - 16866. Calculate the remainder when f is divided by 92.
90
Suppose -5*s - 19 = -2*o, -7*s + 2*s = -5*o + 70. Let y(j) = j + 53 - 5*j + j + 0*j. What is the remainder when o is divided by y(16)?
2
Let n(p) be the first derivative of -p**4/4 - 26*p**3/3 - 25*p**2 - 22*p + 309. What is the remainder when n(-24) is divided by 22?
4
Let j = -27123 - -27135. Calculate the remainder when 851 is divided by j.
11
Let c(j) = -20*j**3 - 14*j**2 - 9*j + 69. Calculate the remainder when c(-6) is divided by 18.
15
Suppose 207*i + 15749 = 2*i + 69664. What is the remainder when i is divided by 131?
1
Let o(x) = 19*x**2 + 5*x - 6. Let b be (-1 - 0)*6/6*-2. Let t be o(b). Suppose -t = 3*z - 5*z. What is the remainder when z is divided by 23?
17
Let j = 221 + 536. Let v = j + -319. Calculate the remainder when v is divided by 7.
4
Let j = 37 - 38. Let t be 45 + (2 - 3/j). Calculate the remainder when (-3 - -1) + 3*t + 0 is divided by 30.
28
Let a(r) be the third derivative of -r**5/30 - 73*r**4/24 - 11*r**3 - 16*r**2 - 5*r. Calculate the remainder when a(-29) is divided by 74.
73
Suppose -21*s + 27222 - 1278 = 744. What is the remainder when 1203 is divided by s?
3
What is the remainder when (56/(-14))/4*2*(-11516)/8 is divided by 12?
11
Let s = -579 - -725. Calculate the remainder when s is divided by 53.
40
Suppose 17*t + 922 - 3013 = 0. Calculate the remainder when t is divided by 53.
17
Let l(k) be the second derivative of 17*k - 1/6*k**4 + 0 + 5*k**2 - 1/6*k**3. Calculate the remainder when 17 is divided by l(0).
7
Let o = 169 + -162. Suppose f - 2*f + 4 = 0. Suppose -f*c = -158 - 26. Calculate the remainder when c is divided by o.
4
Suppose 5*z - 14 = 41. Suppose 0 = -16*k + 12*k + w + 22, 4*k - 16 = 2*w. Calculate the remainder when z is divided by k.
4
Let b be (-35)/(-7)*(3/(-1) + 4). Suppose 3*n - 93 = b*v, -5*n - 7*v = -4*v - 189. Calculate the remainder 