x.
18
Let v = -1773 - -1862. What is the remainder when 786 is divided by v?
74
Let r = -1 - -1. Calculate the remainder when r*(-2)/(-2) - -25 is divided by 27*3*(490/(-126) + 4).
7
Suppose -359*d = -229*d - 1016990. What is the remainder when d is divided by 313?
311
Let i = 249 + -218. Suppose 129 = 4*b + 3*w, 2*w - 132 = -5*b + i. Calculate the remainder when 194 is divided by b.
29
Let m(z) be the first derivative of 6*z**2 - 6*z - 20. Let t be m(-4). Let l = 53 - t. What is the remainder when l is divided by 16?
11
Let r(t) = -3*t**3 - 17*t**2 - 5*t - 8. Let a be r(-8). Let c = 686 - a. Calculate the remainder when c is divided by 19.
16
Suppose a + 322 = 3*a. Let c(l) = 133 + 154 + 22 - 6*l - 6*l. What is the remainder when a is divided by c(23)?
29
Let t(r) = -7*r - 9. Let x be t(-12). Suppose 2*a + 3*a = -5*i + x, -4 = a. Calculate the remainder when i is divided by 11.
8
Let b(y) = 7*y**2 - 13*y - 18. Let k be b(-6). Suppose t - k = -261. What is the remainder when t is divided by 31?
20
Suppose 0 = -6*h + 2*h + 3*v + 9724, -2*h + 4862 = -2*v. Calculate the remainder when h is divided by 404.
7
Let u = -26302 - -26485. What is the remainder when 294 is divided by u?
111
Suppose 16*n = -14*n + 4560. What is the remainder when 2278 is divided by n?
150
Let r be 5/(-3*(-1)/(-21)). Suppose -80 = -5*x + 5. Calculate the remainder when -6 + (1 + -2)*r is divided by x.
12
Suppose 2*q - 2*f = 981 + 115, 0 = -2*q + 4*f + 1104. Calculate the remainder when q is divided by 272.
0
Suppose m + 5 - 7 = 0. Let d be (-6)/(-6) - (-2)/1. Suppose 3*t - 1 - 60 = -m*f, -35 = -t + d*f. Calculate the remainder when t is divided by 12.
11
Let o be (-250)/100*(-6)/5. Suppose 229 = o*f + 124. What is the remainder when 62 is divided by f?
27
Suppose -525 = 7*r - 21. Let a = 23 + r. Let i = -35 - a. Calculate the remainder when 52 is divided by i.
10
Suppose -6*x = -305 - 19. Calculate the remainder when x is divided by 60 + -1*(16 + -6).
4
Suppose -c + 10*n = 5*n + 4, -5*c + 9 = 4*n. Let b(y) = 4*y**3 + 7*y - 8. Calculate the remainder when b(1) is divided by c.
0
Calculate the remainder when 789 is divided by (18/21)/(-16 + 8749/546).
33
Let o be 7 + -3 + 2 - 4. Suppose -3*c - 3*h - 45 = 2*c, -5*c = -o*h + 70. Calculate the remainder when 61 is divided by (-4)/(-6) + (-100)/c.
7
Let d = 28 - 15. What is the remainder when 110 is divided by d?
6
Suppose -6*p = 4*s - 10*p - 28, 4*s + 3*p = 28. Suppose 0 = -5*a + 5*c + 1325, 10*c = s*c - 15. What is the remainder when a is divided by 53?
48
What is the remainder when 515 is divided by (7/(-8))/(-7) - (19 + (-3010)/112)?
3
Let j = -1047 + 1128. Let o(n) = n**2 + 3*n - 4. Calculate the remainder when j is divided by o(-6).
11
Suppose 862 + 622 = 106*f. Let u(t) = -7*t + 17 - 8*t**2 - 3 + t**3 - 9*t. Calculate the remainder when u(10) is divided by f.
12
Suppose -d = 5*t - 25, -7 = -4*d + 13. What is the remainder when 18/21 + -55*((-103)/(-35) + -3) is divided by t?
0
Suppose 0 = -13*v + 14*v - 261. Let n = 452 - v. Calculate the remainder when n is divided by 12.
11
Suppose -2*j + 2*k = -372, -675*k - 563 = -3*j - 677*k. Calculate the remainder when j is divided by 77.
33
Suppose 63*d - 39239 = -50*d + 15679. Calculate the remainder when d is divided by 158.
12
Let o = 9 + -13. Let q = o + 9. Suppose r - 2*v = 88, r - q*v = 6*r - 425. What is the remainder when r is divided by 22?
20
Let g(a) be the second derivative of 9*a**5/20 + 7*a**4/12 - a**3/6 + 7*a**2 + 79*a. Calculate the remainder when g(4) is divided by 50.
48
Let j = -172624 + 173274. Suppose -3*y + 456 = 5*p, -p + 471 = 4*p - 2*y. Calculate the remainder when j is divided by p.
92
Let s(y) = y**3 + 16*y**2 - 19*y - 13. Let m be (-2)/3*459/18. Suppose -16*t + 23*t - 28 = 0. What is the remainder when s(m) is divided by t?
1
Let a(s) = 2*s**2 + 66*s + 617. Let v = -53 - -117. What is the remainder when a(-26) is divided by v?
61
What is the remainder when 283 is divided by 6/(-15)*-40*1 - -3?
17
Suppose 0 = 8*q + 925 - 1197. Suppose -4*s = s - j - 5, -4*j = -5*s + 20. Suppose s = v - 0*v - 23. Calculate the remainder when q is divided by v.
11
Let b be 3883/(-143) - 2/(-13). What is the remainder when ((-171)/b - 7)/((-2)/255) is divided by (16 - -1) + (2 - 1)?
13
Let u = -1053 + 911. Suppose -q = f + 82, 2*f - 4*f - 149 = -3*q. Let l = f - u. What is the remainder when l is divided by 22?
19
Let w(b) = 515*b + 3023. Calculate the remainder when w(-4) is divided by 96.
3
Let w(r) be the third derivative of r**6/120 + 11*r**5/60 - 7*r**4/12 + 2*r**3 - 2*r**2 + 2. Calculate the remainder when w(-11) is divided by 10.
6
Let m(s) = -4*s**3 + 48*s**2 - 12*s + 5. Let x be m(11). Suppose -4*r - 3*r + x = 0. What is the remainder when r is divided by 4*((-9)/(-2) - -2)?
25
Let j(f) = -3917*f - 16945. What is the remainder when j(-6) is divided by 8?
5
Let t(p) = 10*p + 42. Suppose 26*k - 34*k = 16. Let l = -81 - -121. Calculate the remainder when l is divided by t(k).
18
Let k = 175 + -76. Let s = 22389 - 22367. What is the remainder when k is divided by s?
11
Calculate the remainder when (95/38)/((-55)/(-22396)) is divided by 15.
13
Suppose 4*l - 1044 = -2*d, 37*l - 38*l + 5*d = -261. What is the remainder when l is divided by 14?
9
Suppose 13*x = 14*x. Let u be x/((-3)/(-3 + 0/4)). Suppose l = 5*b + 29, -l + u = b - 5. Calculate the remainder when 23 is divided by l.
5
Let j = -31 - -70. Let z be 162 - (-6 - -1 - (-2 - 1)). Let w = 174 - z. Calculate the remainder when j is divided by w.
9
Suppose 2*x - 54 = -4*k, k + 2*k = -12. Let f(s) = 112*s + 3373. Calculate the remainder when x is divided by f(-30).
9
Suppose 120*s - 168580 = -53500. Calculate the remainder when s is divided by 26.
23
Let w = 9 + -27. Suppose 2*v - 18 = -v. Calculate the remainder when 12 is divided by v + (-8)/(-6)*w/12.
0
Let m be 8 + (-1 - (0 + 2)). Suppose 3*p - m*x - 176 = -0*x, 2*p - 126 = -x. Let y = 94 - p. What is the remainder when 126 is divided by y?
30
Let v = -268 - -273. Suppose -65 = -5*o - 5*m + 85, -v*m - 90 = -3*o. What is the remainder when 298 is divided by o?
28
Suppose -3*y + w - 233 = 0, 2*y - 2*w + 0*w = -162. Let n be (6 + 33/(-6))/((-2)/y). Let f = -13 + n. What is the remainder when 58 is divided by f?
4
Let v(w) = -w**3 - 6*w**2 - 6*w - 5. Let c be v(-5). Calculate the remainder when 20*4/(-8)*(c - 2) is divided by 8.
4
Let i = 4352 + -4345. Calculate the remainder when 9 is divided by i.
2
Let b(z) = 4*z - 18 + 37 - 15. What is the remainder when (2 - 0)/((-5)/(-55)) is divided by b(2)?
10
Calculate the remainder when 243 is divided by 5 + 8 + 105 - (-9)/(-1).
25
What is the remainder when 11445 is divided by 40/24 + ((-894)/(-9) - 4)?
96
Suppose -750 - 15 = -5*y. Suppose -13*a + 10*a + y = 0. What is the remainder when 304 is divided by a?
49
Suppose 3*y + 6 = 0, 13*w + 3*y - 1738 = 17*w. Let v = -415 - w. Calculate the remainder when 56 is divided by v.
14
Suppose -3*p - p = -4. Let w be (p - (-138)/(-18))/(2/(-3)). What is the remainder when 193 is divided by w/(-4)*-98*6/30?
46
Suppose 3*j + h = 101, j + 3*h = -h + 96. Let u = -3 - -6. What is the remainder when j is divided by u?
1
Let j = -632 - -455. Let u = -168 - j. Calculate the remainder when 123 is divided by u.
6
Let q(s) = s**3 - 21*s**2 + 9*s - 65. What is the remainder when q(21) is divided by 32?
28
Suppose -96 = -u + 4*v, -157*u + v = -159*u + 210. What is the remainder when 226 is divided by u?
18
Let x(y) = -7*y - 3. Let w = 7 + -6. Calculate the remainder when x(-3) is divided by w/((-42)/(-10) - 4).
3
Suppose -156 = -3*g - g. Suppose -3*q = 35 - 167. Suppose 2*m - q = -2*m. What is the remainder when g is divided by m?
6
Let d = -11377 - -11381. What is the remainder when 774 is divided by d?
2
Let t(v) be the third derivative of -13*v**4/24 + 35*v**3/6 - v**2 + 136. Calculate the remainder when t(-2) is divided by 21.
19
Let z = -356 + 533. Let o = 184 - z. Calculate the remainder when 17 is divided by o.
3
Suppose t = -2*j + 127, -25*j + t = -19*j - 401. What is the remainder when j is divided by 37?
29
Let v(g) = -7*g + 1339. What is the remainder when v(92) is divided by 54?
47
What is the remainder when 918 is divided by -13 + 9 + (-4056)/((-13)/1)?
302
Suppose 97 + 253 = -