
13
Let s = -331 + 330. Calculate the remainder when 151 is divided by (13 + -25)*(s + -5) - -5.
74
Let i(v) be the third derivative of -v**4/24 + 20*v**3 - 16*v**2 + 2*v. What is the remainder when i(-24) is divided by 29?
28
Suppose 32960 = 689*n - 29739. Suppose 5*v - v = 0. Calculate the remainder when n is divided by (v - 2)/((-2)/23).
22
Suppose 3*b - 319 - 14 = 0. What is the remainder when 253 is divided by b?
31
Suppose -286 = -327*b + 316*b. What is the remainder when b is divided by 18?
8
Suppose -4*o = -3*o + 4*x + 62, 2*o - 2*x + 104 = 0. Calculate the remainder when 12/o - (0 - 4245/27) is divided by 16.
13
Let z(f) = -f**2 + 11*f - 3. Let c be z(10). Suppose -h + 11 = -0*q + 2*q, -2*q + c = -3*h. Calculate the remainder when 71 is divided by h/(-2)*48/(-2).
11
Let x = 248 + -249. Calculate the remainder when x - (4 - 0) - -115 is divided by 7.
5
Let z = 5476 + -5404. What is the remainder when 789 is divided by z?
69
Let d(r) = -7*r**3 - r**2 + 2*r - 1. Suppose 12*v - 3*v = -963. Let o = -82 - v. What is the remainder when d(-2) is divided by o?
22
Let u = -143 - -251. Suppose 0 = -u*f + 115*f - 119. What is the remainder when 33 is divided by f?
16
Suppose v - 4*r = 126 - 12, 0 = r + 6. Calculate the remainder when 5666 is divided by v.
86
Let x(k) = -16*k - 2*k**2 + 3*k**2 + 12 + 8*k - 3. Let o be x(4). Let u(l) = -l**3 - 6*l**2 + 4*l + 14. Calculate the remainder when u(o) is divided by 11.
2
Let k(x) = x**2 + 8*x + 4. Suppose -5*o = -198 - 372. Suppose 0 = 6*i - 9*i + o. Calculate the remainder when i is divided by k(-9).
12
Suppose 3*n + 3*w - 3 = 0, -5*n - 2*w + 22 = 5. What is the remainder when 304 is divided by 25 - (n + 14/7)?
16
Let g(k) = k**2 + 43*k - 2117. Calculate the remainder when 286 is divided by g(32).
3
Suppose -4*g - 20 = 0, 30*r - 28*r = 5*g + 173. What is the remainder when r is divided by 11?
8
Suppose -28*l + 7*l + 15*l = -17988. Calculate the remainder when l is divided by 30.
28
What is the remainder when 701 is divided by (735/(-42))/((-4)/112*2) + 2?
207
Let v(i) = i**2 - 23*i + 162. What is the remainder when 1068 is divided by v(25)?
8
Let o = 198 - 149. Let c = -22 + 124. What is the remainder when c is divided by o?
4
Let t(c) = -17*c + 9. Let f(j) = -4*j**2 + 3*j. Let m be f(2). Let o be t(m). Calculate the remainder when (-63)/(-12) + -5 - o/(-4) is divided by 24.
21
Let v(n) = -2*n + 5. Let u be v(-8). Suppose 0 = 7*j - u + 7. What is the remainder when 47/15 + (-6)/45 is divided by j?
1
Let w = 16461 + -16446. What is the remainder when 2366 is divided by w?
11
Suppose 4*o = o + 1251. Suppose 9*c - 5*c = 4*f + 104, -3*c = f - 54. What is the remainder when o is divided by c?
17
Suppose -p + 2*k + 235 = 0, -685 = -3*p + 4154*k - 4158*k. What is the remainder when p is divided by 117?
114
Suppose -5*j + 75 = 3*p - 8*j, -5*j = 5*p - 155. Calculate the remainder when 1998 is divided by p.
10
Let v(r) = -32*r + 269. Suppose -101 = -s + 77. Calculate the remainder when s is divided by v(8).
9
Let b(c) = 3*c - 2. Let w be (-23 - -1) + (-5)/5. Let u = w + 29. Calculate the remainder when 57 is divided by b(u).
9
Suppose -662 + 2769 = 7*v. Suppose 1533 = 22*p + v. Calculate the remainder when p is divided by 22.
12
Let j(c) = -c**2 + 14*c - 8. Let f = -5199 - -5398. What is the remainder when f is divided by j(7)?
35
Suppose 0 = -f - f + w + 1160, 0 = 2*w + 8. Suppose 0 = -17*y + 19*y - f. What is the remainder when y is divided by 75?
64
Let y(r) be the second derivative of -3*r**3/2 + 51*r**2/2 - 53*r. Calculate the remainder when (1 - 2) + 0 + 41 is divided by y(5).
4
Suppose 4*d + a = -1953, -512 = d - 17*a + 22*a. Let u = 494 + d. Calculate the remainder when 1*2*54/4 is divided by u.
6
Let w be (-2 - (1 - 0)) + -5 + 3. Calculate the remainder when 24 is divided by (-4)/(9 + w) - -11.
4
Suppose -90 = -4*y + 3*y + i, 5*y - 450 = 2*i. Let g = 272 - 268. What is the remainder when y is divided by 4 + 19/(-5 - (-2 - g))?
21
Let u(a) = 2530*a - 17159. What is the remainder when u(7) is divided by 353?
198
Let b(h) = 253*h + 2556. What is the remainder when b(-4) is divided by 78?
62
Suppose -145 = 22*r - 27*r. Suppose r*c + 75 = 32*c. What is the remainder when 73 is divided by c?
23
Calculate the remainder when (35/175)/((-4)/(-5380)) is divided by 5.
4
Let h be ((-9)/(-12))/((-1)/(-8)). Let v(j) = 10*j - 25. Let k(g) = 21*g - 51. Let y(t) = -6*k(t) + 13*v(t). Calculate the remainder when y(h) is divided by 3.
2
Let k be 4/(4 + 0 + -3). Let b(i) = 10 + 8*i - i**2 + k*i**2 + 5*i**2 - 5*i**2. What is the remainder when b(-4) is divided by 15?
11
Suppose -8*n = -4*n + 7*f - 290, -5*f - 162 = -2*n. What is the remainder when 683*2 + (-3 - -3) is divided by n?
74
Let t = 1725 - 6191. Calculate the remainder when (t/(-126) + (-1)/9)*6 is divided by 36.
32
Suppose -14 = 2*c - 24. Suppose 2*m - 190 = m + l, -4*m + 697 = 5*l. What is the remainder when m is divided by c?
3
Let r = 22 - 18. Suppose 0 = r*h - 4*y - 80, 2*h - 42 + 14 = 5*y. Suppose 7*l - 897 = -246. Calculate the remainder when l is divided by h.
21
Let w = -140 - -127. Let q = 49 + -34. Calculate the remainder when q is divided by 2/13 + (-37)/w.
0
Suppose y = 4*o + 123, 268*o - 265*o = y - 119. Calculate the remainder when 657 is divided by y.
15
Suppose 0 = 20*p - 22*p + 20. Suppose 4*o + 3*s - 330 = 0, 3*s + 2*s + p = 0. What is the remainder when o is divided by (4*-11)/((-12)/6)?
18
Suppose 3*i - 3402 = 4*b - 17000, -i - 6800 = -2*b. What is the remainder when b is divided by 18?
17
Suppose 0 = 41*u - 31*u. Suppose 4 = -y + 5, -3*s + 4*y + 20 = u. What is the remainder when 222 is divided by s?
6
Let h = 18770 + -18119. What is the remainder when h is divided by 79?
19
Suppose 20*n - 265 = -65. Calculate the remainder when 276 is divided by (-4)/(24/(-30)*n/18).
6
Suppose -4*x = 6*x - 10. Let j be x/(2 - (-85)/(-45)). Let a(f) = -f**3 + 12*f**2 - 8*f - 2. What is the remainder when a(j) is divided by 34?
33
Let r(z) = 144*z**2 + 2*z - 1. Suppose -2*c = -4*n + 192 - 28, -7*n - 4*c = -227. What is the remainder when r(1) is divided by n?
34
Suppose -2*t - 8 = 3*k - 104, -53 = -2*k - 5*t. Let z = k + -34. Suppose z = -61*o + 57*o + 132. What is the remainder when 97 is divided by o?
31
Let p = 435 + -311. Suppose -4*m + 2*d - p = 0, 4*m - 5*m + d = 30. Let i = 48 + m. Calculate the remainder when 77 is divided by i.
13
Suppose -11*l + 6*l = 2*y - 494, 5*y + 5*l = 1250. Suppose y - 16 = w + 3*m, 0 = 2*w - 3*m - 427. Calculate the remainder when w is divided by 37.
36
Suppose 17*v = -3*v. Suppose -2*k - 2*y + 226 = v, 4*y = 4*k - k - 304. Calculate the remainder when 753 is divided by k.
105
Let s(c) = c + 479. What is the remainder when s(-8) is divided by 27?
12
Let f = 114 + -32. Suppose 236 = 6*l - f. Let t(n) = 11*n**3 + n**2 - 1. What is the remainder when l is divided by t(1)?
9
Suppose 160*r = 166*r - 918. Let l = r - 55. Calculate the remainder when l is divided by 17.
13
Suppose -9*h = -7*h - 30. Calculate the remainder when 86 is divided by h/10 + 0 + (-132)/(-8).
14
Suppose -2*r - 3*j + 83 = 0, 49*r - j = 46*r + 163. Calculate the remainder when 163 is divided by r.
7
Let o(f) = -2*f + 142. Suppose 27 = 5*n - 83. Calculate the remainder when o(n) is divided by 20.
18
Suppose b = -w + 5 + 4, 4*b - 20 = 0. What is the remainder when 1 + 9 - 15/(-5) is divided by w*2/((-24)/(-9))?
1
Suppose 8*u + 364 = -996. Let y = u + 196. Calculate the remainder when y is divided by 17.
9
Let u(n) = -90*n - 7722. Suppose -w - 4*z + 118 = 0, -169 = -3*w + z + 146. Calculate the remainder when w is divided by u(-86).
16
Let w be ((-104)/(-16))/(2/(-4)). Let r be 0 + -76 - (-12 - w). Let z = -41 - r. What is the remainder when 68 is divided by z?
32
What is the remainder when 2705 is divided by 7 + 23 - (-38 + 13)?
10
Let m = -194 + 106. Let z = 92 + m. Suppose 0 = -b + 2, -z*b = -0*c + 5*c - 18. Calculate the remainder when 2 is divided by c.
0
Let p(q) = q**2 + 17*q + 72. Let b be p(-7). Suppose 6 = 2*i + 2*t, 2*i + 0 = b*t + 2. Calculate the remainder when 9 is divided by i.
1
Let l = 118 - 67. Suppose 0*h - 9*h + 193 + 41 = 0. Calculate the remainder when l is divided by h.
25
Let h = -160 - -162. Suppose h*a - 9 = 11. Calculate the remainde