Calculate the remainder when 35 is divided by (-8)/c*1/(16/(-120)).
5
Let y(w) be the second derivative of 7*w**3/6 - 62*w**2 - 2*w - 90. What is the remainder when -2 - (48 + -2)*-1 is divided by y(19)?
8
Let i = 3389 - 1628. Calculate the remainder when i is divided by 42.
39
Let h = -236 - -256. Suppose -3*l - h + 80 = 0. What is the remainder when l is divided by 18?
2
Let j(g) = g + 27. Let t(w) = -w**3 - 3*w**2 + 2*w - 1. Let f be t(-4). Let x be j(f). Let m = 48 - x. Calculate the remainder when 27 is divided by m.
13
Let c(x) = 6*x**2 + 27*x + 65. Calculate the remainder when 590 is divided by c(-6).
114
Let q be ((-8)/30*-21)/((-7)/(-1050)). Suppose -17*w - 7*w = -q. What is the remainder when 98 is divided by w?
28
Suppose 12*l = 10395 + 1269. Suppose -969*m - 291 = -l*m. What is the remainder when m is divided by 34?
29
Suppose -4*f - 2*h = -f - 750, -f - h = -250. Let l = f - -62. Suppose 0 = 2*d - 5*m - 110 - 31, -l = -5*d - m. What is the remainder when d is divided by 17?
12
Suppose -269*n + 219*n + 4800 = 0. What is the remainder when 647 is divided by n?
71
Let f(c) = -80*c + 18. What is the remainder when f(-3) is divided by 39?
24
Let x = -1419 + 1520. Calculate the remainder when 177 is divided by x.
76
Suppose 2*w = -5*b - 10, 5*w - 5*b + 6 = 51. Let p = -1457 + 1471. Calculate the remainder when p is divided by w.
4
What is the remainder when (-44)/(-99) + 10409/9*1 is divided by 147?
128
Let l(v) = 100*v**2 + 26*v - 88. What is the remainder when l(4) is divided by 56?
48
Let q = -17 + 19. Suppose 0 = -q*m + 10 + 34. Calculate the remainder when (-24)/(-6) - (-78 - 2/(-2)) is divided by m.
15
Let k = 73 - 35. Calculate the remainder when (56784/676)/((-14)/(-24)) is divided by k.
30
Let g(n) = 63 + 3*n**3 + 7*n - 5*n - 5*n - 4*n**3 + 5*n**2. What is the remainder when g(6) is divided by 2?
1
Let g(k) = 2*k**3 + 2*k**2 + 3*k - 6. Let w = 97 + -48. Suppose -w = -5*j - 4. Calculate the remainder when g(2) is divided by j.
6
Calculate the remainder when 18/1 + ((-14)/7 - -2) is divided by (52/(4/1))/(-1 + 2).
5
Suppose 4*b - 493 = -4*y - 57, -5*b + 3*y + 505 = 0. What is the remainder when 296 is divided by b?
88
Let b(r) = -4*r**2 + 14*r + 443. Calculate the remainder when 12808 is divided by b(12).
33
Let z(h) = h - 4. Let q be z(4). Suppose -92 = -3*i + 4*p, -i - 2*i - 5*p + 47 = q. Let c = 3 + i. What is the remainder when c is divided by 4?
3
Let o(p) = -p**3 - p + 51. Let m(z) = -133*z - 217. Let u(y) = -45*y - 73. Let l(k) = -5*m(k) + 14*u(k). Calculate the remainder when l(4) is divided by o(0).
50
Let f = -10282 + 10311. What is the remainder when 999 is divided by f?
13
Suppose 5*x - 187*m = -184*m + 16, -m - 2 = 0. Suppose 20 = 4*j + j. Calculate the remainder when j is divided by x.
0
Suppose 5*z + 2 = 12. Suppose 0 = 14*f + z*f + 352. Let j = f + 57. What is the remainder when 68 is divided by j?
33
Let u be 510/16 + 1 + 95/760. Suppose -37*a + u*a = -1724. What is the remainder when a is divided by 48?
47
Let u be ((-1)/2)/((-4)/24). Let q be 14/4 + (-43)/(-86). Suppose 56 = 2*g + u*h, -q*h = 2 - 10. Calculate the remainder when 149 is divided by g.
24
Let r = -1020 + 1086. Let p(j) = -22*j + 1. Calculate the remainder when r is divided by p(-1).
20
Suppose 3*l - 1687 = -2*q - 0*l, q + 3*l = 842. Let i = -737 - -784. What is the remainder when q is divided by i?
46
Let s(r) be the first derivative of r**3/3 + 5*r**2/2 - 23*r + 4. Calculate the remainder when s(-10) is divided by 4.
3
Let g(w) = -89*w**3 + w**2 - w - 1. What is the remainder when (179860/23)/34 + 31 is divided by g(-1)?
81
Suppose 10*f - 12*f = -34. Let d be -18 + 5/((-20)/(-12)). What is the remainder when (-6)/d - 2624/(-40) is divided by f?
15
Suppose 11*k = 4*k + 231. What is the remainder when 2/(-5) - 921/(-15) is divided by k?
28
Suppose -2*l - 5*z = -6*l + 912, -5*l + 3*z = -1127. What is the remainder when l is divided by 109?
5
Let i = -13 + 39. Suppose 2*a = i + 8. Suppose -216*o = -118 - 5126 - 5124. What is the remainder when o is divided by a?
14
Suppose 0 = 104*j - 2025 - 2343. Calculate the remainder when 85 is divided by j.
1
Suppose 0 = -134*y + 266 + 26 + 378. Calculate the remainder when 6 is divided by y.
1
Let b(c) be the third derivative of -c**6/120 - 3*c**5/20 + 5*c**3/2 - c**2 + 27. Calculate the remainder when 59 is divided by b(-9).
14
Let q(g) = g**3 - 41*g**2 + 166*g + 60. What is the remainder when q(40) is divided by 63?
60
Suppose 10*n - 13*n = 39. Let z(d) = 3*d + 110. What is the remainder when z(n) is divided by 15?
11
Let o be ((-42)/9)/(2 - 425/210). Let b = -161 + o. Calculate the remainder when 277 is divided by b.
32
What is the remainder when (-2598)/(-4)*(-55)/99*(-42)/35 is divided by 11?
4
Let r be (-2)/(-8) - ((-102)/8 - -3). Suppose r*x - 8*x = 4. Suppose z = x*c + 14, -3*z + c + 22 = -c. Calculate the remainder when 14 is divided by z.
2
Let b(m) = 179 + 3*m + 154 - 140. Calculate the remainder when b(-33) is divided by 11.
6
Suppose 0 = i + 5*u - 583 - 275, i - 846 = -8*u. What is the remainder when 2645 is divided by i?
11
Suppose 0 = 6*g - 257 + 245. Suppose x = -5*u + g*x + 1544, 3*x + 1552 = 5*u. Calculate the remainder when u is divided by 62.
60
Let q = 7004 - 6679. Calculate the remainder when q is divided by 188.
137
Let u(f) = 128*f - 377. Let n be u(3). Let v = n - -7. Let s(a) = -a**3 + 6*a**2 + 2*a - 4. Calculate the remainder when v is divided by s(6).
6
Suppose -3*s - 144 = -19*s. Suppose -7*g - 922 = -s*g - 2*k, 0 = -g - 2*k + 463. What is the remainder when g is divided by 10?
9
Let i be -3*((-70)/(-24))/(-7)*-152. Let q = i - -205. Let w = 97 + -40. What is the remainder when w is divided by q?
12
Calculate the remainder when -65*15/(-21)*7 is divided by 163.
162
Suppose -4*b = 3*u - 4176, -u + 19*b - 15*b + 1408 = 0. What is the remainder when u is divided by 8?
4
Let d = -209 + 445. Let j = -333 + d. Let w = -73 - j. Calculate the remainder when w is divided by 13.
11
Suppose -7*w + 2*w = -40. Suppose 2*o - 25 = -5*z, 4*z = 3*o + 32 + 11. What is the remainder when 17 is divided by (-10)/z*(-28)/w?
2
Let p = 296 - 171. Let g(u) = -u**3 - 12*u**2 - 15*u - 23. What is the remainder when p is divided by g(-11)?
20
Suppose -59*v + 64*v = 115. Suppose 4*w + 4*z - 300 = 0, -5*z + 138 = 18*w - 16*w. Calculate the remainder when w is divided by v.
10
Let n = 14 - 8. Suppose 8*b = 7*b + 24*b - 138. What is the remainder when 13 is divided by n/9*63/b?
6
Let t = -21311 - -21144. Let u be (-1 + 5 + -1)*-44. Let z = u - t. Calculate the remainder when z is divided by 21.
14
Let d(h) = 4759*h**2 - 148*h + 149. What is the remainder when d(1) is divided by 69?
68
Let h be 4 + 206/17 + (-40)/340. Suppose 27 = 4*k + d, -2*k - 3*d - d = 4. What is the remainder when (h/3 + 2)/((-68)/(-102)) is divided by k?
3
What is the remainder when 6/27 - -681*(-2145)/(-405) is divided by 901?
3
Suppose 0*v + 3*v = 0. Suppose -140*b + 139*b + 114 = v. Suppose -2*k - b = -4*k. What is the remainder when k is divided by 12?
9
Let n = -4009 + 4061. What is the remainder when (147/2 - 1/(-2))*2 is divided by n?
44
Calculate the remainder when 3442 is divided by (-2 - 2/(-3)) + 86500/1038.
80
Let r = -90637 + 90674. Suppose -127 - 414 = -3*n - v, -4*v - 913 = -5*n. What is the remainder when n is divided by r?
33
Let h = 692 + -670. Calculate the remainder when 43 is divided by h/((2 + 2)/2).
10
Let f be ((-6)/4)/((-24)/7856). Let c = f + -86. Calculate the remainder when c is divided by 17.
14
Suppose 0*n = n - 16. Suppose 3*y - n - 308 = -3*a, 5*a - 5*y - 540 = 0. Suppose 5*w + a = 11*w. Calculate the remainder when 33 is divided by w.
15
Suppose -g = -2*g + 16. Calculate the remainder when -9 + 1 - 4664/(-88) is divided by g.
13
Let a(q) = -19*q**3 + 5*q**2 - 4*q - 10. Suppose 9 = -2*g + 3. What is the remainder when a(-1) is divided by ((-1)/1)/(1/g)?
0
Let f(k) = 25*k**3 + 3*k**2 - 5*k + 5. Let r be f(2). Suppose 6*w - r = 1365. Calculate the remainder when w is divided by 44.
42
Suppose 5*u - 105 = -2*r, 0 = -4*r - 0*u + 3*u + 249. Let f = 99 - r. Suppose 103*z = 6197 - 5476. Calculate the remainder when f is divided by z.
4
Let t(r) = 3*r**2 + 1809*r + 14401. Suppose 4*h + 122 = 2*l, -5*h = -5*l - 0*h