 j.
22
Let v(c) = -3*c**3 + 5*c**2 - 13*c + 6. What is the remainder when v(-5) is divided by 197?
177
Let m(d) be the first derivative of 4*d**2 - 236*d - 154. What is the remainder when m(39) is divided by 11?
10
Suppose 0 = -13*a - 26778 + 28689. What is the remainder when 274 is divided by a?
127
Let t(d) = 3*d. Let z be t(-8). Calculate the remainder when (-1 + -50)/(z/32) is divided by (9/2 - (5 + 7 + -7))*-46.
22
Let h = 4787 - 3199. Calculate the remainder when h is divided by 30.
28
Let h be 4/(-22) - 245/(-77). Suppose 3*o - h = 3. Suppose -6*p + o*p = -52. What is the remainder when 22 is divided by p?
9
Suppose -158*p - 55*p = -8506 - 2357. What is the remainder when 306 is divided by p?
0
Let u(z) = -z**2 - 92*z - 1073. Calculate the remainder when 608 is divided by u(-67).
6
Suppose 0 = 20*f - f - 456. Suppose -12*m + f = -0*m. What is the remainder when 8 is divided by m?
0
Let q = 25 - 31. Let b be (-189)/(-42)*(-4)/q. Suppose p + m - 29 = 0, b*p + 5*m + 98 = 7*p. What is the remainder when p is divided by 8?
3
Calculate the remainder when (-15*(-2)/5 - -1208)/2 is divided by 99.
13
Suppose 3*p - 2*b - 12997 = 0, -93*p + 5*b = -94*p + 4304. What is the remainder when p is divided by 38?
35
Let n = 41 - 69. Let x = -21 - n. Let l(d) = -d**3 + 6*d**2 + 12*d - 2. Calculate the remainder when l(x) is divided by 18.
15
Let j = -4691 + 8420. What is the remainder when j is divided by 91?
89
Let c = -816 - -865. Let z(v) = 17*v**3 + 3*v**2 - 3*v + 3. What is the remainder when z(2) is divided by c?
47
Suppose 42*m - 20800 = 26198. Calculate the remainder when m is divided by 31.
3
Suppose 9*z - 10454 = 5098. Calculate the remainder when z is divided by 51.
45
Let f(b) = -7*b**2 + 11*b + 36. Let g be f(-7). Let w = g + 522. What is the remainder when w is divided by 14?
12
Suppose -303 + 93 = -5*z + 3*s, -5*s = -z + 42. Suppose 4*c - 5*h + 15 = 475, 0 = -3*h. What is the remainder when c is divided by z?
31
Suppose -401*d - 3 = -404*d. Calculate the remainder when 34 is divided by -3 + (14 - (5 - d)).
6
Suppose -w - 3*a = -46, 0*w - 5*w + 2*a + 213 = 0. Suppose w - 4 = 3*p. Let t = 6 - 3. Calculate the remainder when p is divided by t.
1
Suppose -13*v + 325 + 52 = 0. Calculate the remainder when 148 is divided by v + 5/((-25)/20).
23
Suppose -7*o + 207 = 60. Suppose -65 = -o*p - 2. Let s(w) = -w**2 + 2*w + 1. What is the remainder when p is divided by s(2)?
0
Suppose -r + 63 = -2*r. Suppose -f - 5*d + 121 = -2*f, -f - 112 = -2*d. Let q = r - f. Calculate the remainder when q is divided by 15.
13
Let d(j) = j**2 - 35*j - 256. Suppose -4*s = -78 - 22. Calculate the remainder when d(-8) is divided by s.
13
Let d(b) = -2*b + 14. Let u be d(7). Let c = 133 - 122. Calculate the remainder when (2 - u)/((-4)/(-108)) is divided by c.
10
Let j = 6 - -3. Let q = -3683 - -3781. What is the remainder when q is divided by j?
8
Let z(n) = -19*n**3 - 12*n**2 - 23*n + 27. Calculate the remainder when z(-3) is divided by 14.
11
Suppose 15*t - 800 = -305. What is the remainder when 494 is divided by t?
32
Let t = 2178 + -1533. What is the remainder when t is divided by 24?
21
Let b be 97/2 + (-2)/(-4). Suppose -21*i + 4272 = 639. Suppose 4*w - i = -b. Calculate the remainder when 91 is divided by w.
29
Let r(u) = -u**3 - 14*u**2 - 14*u - 12. Let n be r(-13). Suppose 37*f - 168 = 45*f. What is the remainder when 70 is divided by (f - -25)/(n/3)?
10
Let m(v) = -5*v**3 - 6*v**2 - 5*v - 2. Calculate the remainder when 60/100*(155 + 0) is divided by m(-2).
21
Suppose 18*a + 3663 = -5319. Let q be (301/(-3))/(2/6). Let p = q - a. What is the remainder when p is divided by 40?
38
Let o = -3 - -13. Suppose -o*v - 60 = -13*v. What is the remainder when 11/((-22)/(-12)) - 53/(-1) is divided by v?
19
Let h(o) = 2*o**3 + 74*o**2 + 133*o - 118. What is the remainder when h(-35) is divided by 16?
15
Suppose -5*s = 145*j - 150*j - 3355, 2025 = 3*s - j. Calculate the remainder when 2037 is divided by s.
6
Suppose -16*s + s = -255. Let d = s + -19. What is the remainder when 3/((-9)/(-60)) + d is divided by 7?
4
Let z(k) = k**3 - 10*k**2 - 8*k - 27. Let p be z(11). Suppose 0 = t + p*t - 217. What is the remainder when t is divided by 18?
13
Let q(y) be the second derivative of 23/6*y**4 - 15*y + 3/2*y**2 + 1/3*y**3 + 0. Calculate the remainder when q(-1) is divided by 12.
11
Let v(b) be the third derivative of b**6/8 - 5*b**4/24 + 5*b**3/6 - 18*b**2 + b. Calculate the remainder when 85 is divided by v(1).
10
Let q = -4586 - -4718. Calculate the remainder when q is divided by 108.
24
Let u = -31 + 30. Let b be (35/14)/(u/(-2)). Suppose -5*d + 4*k + 89 = 0, 3*d + b - 55 = -k. Calculate the remainder when 33 is divided by d.
16
Let j(f) = -2*f**2 + 10*f + 12. Calculate the remainder when 8536 is divided by j(4).
16
Let s(q) = -28*q - 4. Let x be s(-5). Let k be x/(-6)*(-12)/8. Suppose k = -25*j + 26*j. What is the remainder when j is divided by 12?
10
Let z be 496/(-6)*((1 - 0) + -4). Let v = -141 + z. Calculate the remainder when v is divided by 26.
3
Suppose 344 + 159 = 245*a - 477. Let m(v) = -2*v**3 - 6*v**2 - 3*v - 5. What is the remainder when m(-4) is divided by a?
3
Suppose 4 + 82 = 4*q - 2*f, 2*q - 2*f = 42. Suppose 893 = q*i - 1263. What is the remainder when i is divided by 50?
48
Suppose -134*m - 104 = -147*m. Calculate the remainder when 848/m + -2 - -6 is divided by 15.
5
Let f = -426 - -686. Suppose 5*n + f = n. What is the remainder when 102 is divided by 6/((-30)/n) - 0?
11
Suppose -a = -5*a + 160. Let d(l) = l**3 - 19*l**2 + 99*l - 59. Calculate the remainder when a is divided by d(9).
18
Suppose -7*j - 2764 - 2402 = 0. Let u = j + 813. What is the remainder when u is divided by 16?
11
Let j(y) = 3*y**3 - 79*y**2 - 74*y + 547. Let t = -3 + 7. Suppose 3*c = 3*g - 5*g + 19, 0 = -t*g + 5*c + 27. What is the remainder when g is divided by j(27)?
1
Suppose 3*s = -5 + 59. Let w(v) = -v**2 + 222*v + 5188. What is the remainder when w(-21) is divided by s?
13
Suppose j = -5*s - 5, -4*j = 4*s - 13 + 33. Suppose 14*r + 29 - 253 = s. What is the remainder when 63 is divided by r?
15
Let i = 84 + -75. Suppose -5*m - 164 = 7*x - i*x, -2*x + 4*m = -164. Calculate the remainder when x is divided by 25.
7
Let b = 635 + -260. What is the remainder when b is divided by 39?
24
Let o = -1264 + 1419. Calculate the remainder when 614 is divided by o.
149
Calculate the remainder when 278 is divided by 480/(-840) + (-3 - 1884/(-14)).
16
Suppose 0 = -22*k - 2*k + 7776. Suppose -614 = -7*y + k. What is the remainder when y is divided by 8?
6
Let i be 549/8 + (-129)/(-344). Suppose -3*h + 90 = i. Calculate the remainder when 50 is divided by h.
1
Suppose 0 = i + 4*i + 710. Let y = i + 199. Let k = 78 - y. Calculate the remainder when 146 is divided by k.
20
Let i(d) = -d**2 + 3*d + 18. Let b be i(6). Suppose -2*p - 2*f = -0*f - 34, 2*p - 3*f - 14 = b. What is the remainder when p is divided by 9 + (3 + 0 - 3)?
4
Let l = -85 + 131. Suppose -l = -3*y - 10. Let v = -43314 - -43397. Calculate the remainder when v is divided by y.
11
Suppose -5*r - 3*m = -224, -2*r - 3*m + 94 - 17 = 0. Let v = 26 - 13. What is the remainder when r is divided by v?
10
Let i(g) = -8*g + 3. Let c = -9126 + 9145. What is the remainder when i(-3) is divided by c?
8
Suppose 36*s = 771 + 1677. What is the remainder when 110 is divided by s?
42
Let p = 2268 + -2237. Let c = 59 - 12. Calculate the remainder when c is divided by p.
16
Suppose -6*z = -267 - 69. Let c be (z/24 - 4) + (-4)/(-6). What is the remainder when (-79)/c - -9*(-4)/12 is divided by 39?
37
Suppose -70*k + 2885 = 2535. Calculate the remainder when 135 is divided by k.
0
What is the remainder when (0 + 159/(-2))*5/(5/(-2)) is divided by 23?
21
Let b(a) = a**3 + 15*a**2 - 34*a + 32. Let t be b(-17). Let l be 6/(-12)*-3*2/3. What is the remainder when (t - l) + 3 - -3 is divided by 8?
5
Suppose 17 + 27 = 4*y. Calculate the remainder when (-915)/(-10) + -3 - 80/32 is divided by y.
9
Suppose -2*a + 16776 = 4*b, -4*a + a - 5*b + 25170 = 0. Calculate the remainder when a is divided by 9.
3
Let z be 3 + -5 + (-4)/(-2) + 15. Let c be 38/(-6) - -1*5/z. Calculate the remainder when (-2)/c + (-512)/(-12) + -2 is divided by 21.
20
Suppose 3*w = 14 + 10