*b, -69 = -4*u - b. Suppose 3*p - 62 = p. Calculate the remainder when p is divided by u.
13
What is the remainder when 1339 is divided by 24/8*(-1098)/(-54)?
58
Suppose 692*o - 6644 = 681*o. What is the remainder when o is divided by 69?
52
Let f(g) be the third derivative of -g**4/24 + 37*g**3/3 - 37*g**2. Let i = 33 + -16. Calculate the remainder when f(i) is divided by 15.
12
Suppose 3*q = -5*m + 16, -4*m + q = -2*q - 2. Suppose -67 = -m*x - 5*d, 3*x + 4*d - 87 = d. Let c = 34 - 19. What is the remainder when x is divided by c?
11
Suppose -4*l - 3*j + 1892 = -0*l, 5*l - 2435 = 5*j. What is the remainder when l is divided by 86?
49
Let t(c) = -6*c**2 + 22*c - 1. Let y be t(3). Suppose 0 = -2*b + m + 102, b + y*m - 51 = 7*m. What is the remainder when b is divided by 28?
23
Suppose -15*j - 553 = 5*j - 21*j. What is the remainder when j is divided by 71?
56
Let o be (0 + -1 + (-3)/(-6))*-478. Let j = -122 + o. Let c = -68 + j. Calculate the remainder when c is divided by 18.
13
Suppose 73*t - 62237 = 621992. What is the remainder when t is divided by 125?
123
Let p = -102 - -26. Let c = p + 97. What is the remainder when (-24)/18*(-29 - 1) is divided by c?
19
Let b be (130/(-4))/13*12/(-5). Let l(y) = -y**3 + 6*y**2 + 4*y - 10. Calculate the remainder when 263 is divided by l(b).
11
Suppose 2*v - 144 = -16*v. Let f be 1*(-20)/8*-2. Suppose 2*r = q - r - f, -3*r = 3*q - 15. What is the remainder when v is divided by q?
3
Suppose t + 3 = -9. Let r = 19 + t. Let h(j) = 32*j + 2204. Calculate the remainder when h(-67) is divided by r.
4
Suppose 5*p - 32 = p - 2*f, 3*p = -4*f + 29. Suppose 0 = -2*u - p*u + 1125. Calculate the remainder when u is divided by (-1088)/(-26) + 1 + 22/(-26).
41
Let i be 19/(38/48)*(-3)/(-4). Suppose i*b - 30*b + 132 = 0. What is the remainder when 75 is divided by b?
9
Suppose 3*u + 11 = 2*t - 32, -3*u = 2*t - 13. What is the remainder when 4430/65 - (-110)/66*60/(-650) is divided by t?
12
Suppose -14807 - 4142 = -332*o + 35831. Calculate the remainder when 2141 is divided by o.
161
Suppose 0 = -42*p + 116*p - 24494. What is the remainder when p is divided by 79?
15
Let t = 1424 - 30. Suppose -5*c = -216 - t. Calculate the remainder when c is divided by 17.
16
Let l(v) = 2*v**2 - 38*v + 5. Let k be l(19). Suppose 145 = 5*r + 3*s, -k*s = -2*r + 68 - 10. What is the remainder when r is divided by 2?
1
Suppose -3*w = 2*w - 4*j - 1386, -2*w - 2*j = -540. What is the remainder when (4 - w)/(-5) - -2 is divided by (-3 + 1 - -31) + 0?
27
Let k(o) = -2*o**3 - 22*o**2 - 61*o - 170. Calculate the remainder when 30962 is divided by k(-9).
52
Let r(d) = -d**2 - 55*d - 734. What is the remainder when 1682 is divided by r(-32)?
0
What is the remainder when (-3 + (-56)/(-8))/((-4)/(-514)) is divided by 180?
154
Suppose -124 = 3*d + 95. Let t = d - -126. Suppose 9*y = 3*y + 90. Calculate the remainder when t is divided by y.
8
Let s(v) = -v**3 + 26*v**2 - 3*v + 81. Let b be s(26). Suppose 13*f - 18*f + 107 = -b*j, -2*j - 84 = -4*f. What is the remainder when 34 is divided by f?
15
Suppose 5 = -x - 0*x, -3*p = -2*x - 358. Let g = p - 89. Calculate the remainder when 103 is divided by g.
22
Suppose 24*z - 20 - 2 = 23*z. What is the remainder when 178 is divided by z?
2
Let k = -184 + 188. Suppose -2*w - k*y + 54 = 0, 5*w + y - 171 = 3*y. Let d = 0 + 14. Calculate the remainder when w is divided by d.
5
Suppose 0 = -92*d + 153*d - 7503. Calculate the remainder when 242 is divided by d.
119
Let s(t) = -1544*t + 3132. Suppose 0 = -0*d - d + 25. What is the remainder when s(2) is divided by d?
19
Suppose 31*w - 2368 = 4235. Calculate the remainder when w is divided by 30.
3
Let r = -67694 + 67766. Let w(n) = n**2 - 8*n + 11. What is the remainder when r is divided by w(9)?
12
Calculate the remainder when 44/33*21/(-4) + 551 is divided by 68.
0
Let d(m) = m**3 + 7*m**2 + 2*m - 2. Let l be ((-7)/((-35)/2))/(3/15). Suppose 15 = -5*h, -35 = 4*j + 3*h - l. What is the remainder when 62 is divided by d(j)?
18
Let l(f) = f**3 + 3*f**2 - 141*f + 150. Calculate the remainder when 518 is divided by l(10).
38
Let c = 53 - 315. Let y = -59 - c. Let z(r) = r**3 - 6*r - 54. What is the remainder when y is divided by z(5)?
39
Let n(z) = -z**3 + 11*z**2 + 23*z - 92. What is the remainder when 14 + -11 + (-134)/(-2) is divided by n(12)?
30
Let o = 5 + 1. Suppose 167 = 5*a + 4*q, -o*a + 3*a - 5*q + 95 = 0. Let g = 2051 + -1879. Calculate the remainder when g is divided by a.
32
Let v(j) = 2*j**2 - 16*j - 1. Let r be v(13). Let g = r - 251. Let q = g - -146. Calculate the remainder when q is divided by 6.
0
Suppose 4*q = -18*d + 15*d + 55, d + 5*q = 22. Suppose -13*k + d*k + 11 = -5*l, 2*k + 4*l = -10. What is the remainder when 7 is divided by k?
0
Let d = -61 - -66. Suppose 0*o + d*o = 55. Suppose 12*f = 13*f - o. Calculate the remainder when 30 is divided by f.
8
Suppose 5*j - 232 = -47. Suppose -374 = -128*y + 13834. Calculate the remainder when y is divided by j.
0
Let w(j) = -j**3 - 7*j**2 + 8*j + 8. Let z be w(2). Calculate the remainder when 437 is divided by 72/((-144)/z) + 3*-1.
2
Suppose 62*j - 47*j - 555 = 0. Let t(l) = -3*l + 2. Calculate the remainder when j is divided by t(-6).
17
Suppose m - 52 = 3*f, -f - 2*m = -2*f - 9. Let i = f - -21. Calculate the remainder when i/9 - 0 - (-196)/9 is divided by 12.
10
Suppose -4*h - 13*a = -8*a - 337, 5*h - 410 = 5*a. What is the remainder when 1160 is divided by h?
81
Let j(t) = -t**3 - 25*t**2 - 48*t + 34. Calculate the remainder when j(-24) is divided by 34.
32
Let y(x) = x**3 - 2*x**2 - 11*x - 16. Let p be y(5). Suppose -i - 8*h + 3*h = -10, p*i - 24 = -4*h. Calculate the remainder when 79 is divided by i.
4
Let t = 152 + -89. Suppose 23 - t = -4*m. Calculate the remainder when (0 - (-158)/4)/((-4)/(-8)) is divided by m.
9
Suppose -4*t - 3*c = -3*t + 460, 0 = 4*t + 4*c + 1808. What is the remainder when t/48*78/(-4) is divided by 61?
60
What is the remainder when (-4)/46 + 0 - 1244350/(-575) is divided by 70?
64
Let k = 41 - 38. Suppose 7*u - 20 = k*u. Let b(n) = n**3 - 8*n**2 + 18*n - 5. Calculate the remainder when b(u) is divided by 8.
2
Calculate the remainder when 495/(-2 - -3) + 9 is divided by 46.
44
Calculate the remainder when -4 + (3 - -9) + (1 - -38846) - -4 is divided by 127.
124
Suppose 40*r - 8264 - 4347 = 10429. Calculate the remainder when r is divided by 206.
164
Let s(t) = -t**3 + 20*t**2 - 7*t - 118. Suppose -3*m + 2745 = 2*m + 5*f, -4*m + f + 2176 = 0. What is the remainder when m is divided by s(19)?
105
Let o(g) = -90*g + 1112. Calculate the remainder when 185 is divided by o(12).
25
Suppose -4*h - 2089 + 2621 = 0. Calculate the remainder when h is divided by 6.
1
Let y be 4/16 - 309/(-12). Suppose -22*q = -y*q + 244. Suppose n - 41 = -5*s, 2*n - s - 22 = s. Calculate the remainder when q is divided by n.
13
What is the remainder when 16821/3*56/252 is divided by 10?
6
Let b(k) = -4*k - 5. Let i = -9421 - -9489. What is the remainder when i is divided by b(-7)?
22
Let k(h) = h**3 + 6*h**2 - 4*h - 2. Suppose 2063 = 42*v + 5. Calculate the remainder when k(4) is divided by v.
44
Let a = 17 - 13. Suppose -4*r + c = -81, r - a*c + 75 = 6*r. Let y = 496 + -460. Calculate the remainder when y is divided by r.
17
Let i(o) = -145*o - 3274. Calculate the remainder when i(-32) is divided by 67.
26
Let v be -3 + 6 + 2 - 3. Suppose 2*z - 3*d - 12 = -2*d, -12 = -z + v*d. Calculate the remainder when z is divided by 2.
0
Suppose -5*h - 15 = 0, 667 = 2*a + 44*h - 49*h. Calculate the remainder when a is divided by 12.
2
Calculate the remainder when 141 is divided by -10 + 5/((-55)/(-319)).
8
Suppose 2*p = -3 - 7, -5*j = 5*p - 65. Let g = 23 - j. Suppose 3*f + g*a = f + 85, -3*f = -2*a - 118. What is the remainder when f is divided by 11?
7
Let l = -27 - -30. Suppose -l*s + 2*s = 4*x - 169, -3*s = 4*x - 179. Let f = 422 + -400. What is the remainder when x is divided by f?
19
Let n(r) = 147*r**3 + 8*r**2 - 6*r - 4. What is the remainder when n(2) is divided by 25?
17
Let r(d) = 2*d**2 - 8*d - 4. Let u be r(-5). Let k = 169 - u. Suppose -3*z + k = 8. What is the remainder when 49 is divided by z?
24
Let h = -32237 + 32260. What is the remainder when h is divided by 19?
4
Let h(f) = 70*f + 5044