d by b.
21
Let y = 331 + -229. Suppose -15*l + 664 = 394. What is the remainder when y is divided by l?
12
Let p be (12/(-10))/(-3) - (-1410)/(-150). Calculate the remainder when (-152)/(-4) + p + 4 is divided by 18.
15
Let t = -2401 + 3894. What is the remainder when t is divided by 88?
85
Let m = -27889 + 28008. Calculate the remainder when 1096 is divided by m.
25
Suppose 2*a = -5*k + 38 + 65, -a = 4*k - 56. Let i = -20 - -231. What is the remainder when i is divided by a?
35
Let c = -8 - -14. Let w(h) = -h**3 + 8*h**2 + 9*h + 7. Let r be w(9). Suppose 7*y - c*y - r = 0. What is the remainder when 27 is divided by y?
6
Let o(y) = y**3 - 5*y**2 + 7*y - 6. What is the remainder when ((-11)/5 - -1)/((-14 - 3)/425) is divided by o(4)?
0
Suppose 3*w + 13 - 37 = -3*b, 3*w = 3. What is the remainder when 2/(b - 2826/404) is divided by 51?
47
Let q = -324 + 426. Let y = q + 11. What is the remainder when y is divided by 39?
35
Let a(i) = -3*i**2 - 50*i - 32. Let w be a(-20). Let m = -219 - w. What is the remainder when 334 is divided by m?
9
What is the remainder when (1 + 2191)*27/108 is divided by 10?
8
Suppose 0 = 3*k + 7*o - 12*o + 6, 5*o = 30. What is the remainder when 699 is divided by k?
3
Let v(p) = 2*p**2 - 15*p + 31. Calculate the remainder when v(-8) is divided by 20.
19
Calculate the remainder when 168/(-24)*(-2 + -2 - 3745/49) is divided by 55.
13
What is the remainder when (-37)/(222/(-1820))*(-18)/(-10) is divided by 83?
48
Suppose 6306 = 44*z + 1114. Calculate the remainder when 130 is divided by z.
12
Let u(k) = -4*k - 3. Suppose 3*m + 92 = -5*v + 246, -12 = -4*m. What is the remainder when v is divided by u(-2)?
4
Suppose -82*v + 31640 = -8294. What is the remainder when v is divided by 129?
100
Let g be (-3556)/(-77) + (-2)/11. Suppose -g*l = -45*l - 141. Suppose 2*s + 3*y = 75, 3*y + 0*y = 4*s - l. What is the remainder when s is divided by 19?
17
Let r = 6460 - 20767. Let v be 8/(-14) + r/(-133). Let i = -98 + v. What is the remainder when 14 is divided by i?
5
Let z(w) = w**3 - w**2 + 27. Suppose -4*r = -4*q + 8, -2*r + 3 = 4*q - 5. Suppose -10*t + 83 - 43 = r. Calculate the remainder when z(0) is divided by t.
3
Suppose -118*l + 9555 = 4426 - 12453. Calculate the remainder when 2066 is divided by l.
129
Suppose -28*t + 1357 = 31*t. What is the remainder when 205 is divided by t?
21
Let u(v) = -2*v**2 + 6*v + 24. Let r be u(-8). Let s = r - -169. Calculate the remainder when 48 is divided by s.
14
Suppose 9*l + 15*l = -9775 + 47383. What is the remainder when l is divided by 33?
16
Let g(a) = -a**2 + 22*a + 297. Suppose 7*h - 14*h + 182 = 0. Calculate the remainder when h is divided by g(31).
8
Let w(h) be the first derivative of -21*h**2/2 - 53*h - 103. What is the remainder when w(-13) is divided by 33?
22
Let g(n) = -17*n - 1. Let h be g(9). Let r = h - -162. What is the remainder when 14 is divided by r?
6
Let k be 3*(28/147 - 2/(-14)). Let i(g) = 17*g**3 - g**2 + 2*g - 1. Calculate the remainder when 101 is divided by i(k).
16
Suppose 436 = 7*q - 3*q. Suppose 5*p + q + 11 = 0. Let f = p + 56. Calculate the remainder when f is divided by 19.
13
Suppose 7*r - 5715 = 3210. Suppose 5*z - r = p, -9*p = -5*p. Calculate the remainder when z is divided by 37.
33
Let i = -162 + 270. Suppose 3*n = 13*n - 370. Calculate the remainder when i is divided by n.
34
Suppose 5*g = -12*g. Let t be (8 - g)/(7 - 6). Let c(k) = -k**3 + 10*k**2 - 7*k - 5. What is the remainder when c(t) is divided by 23?
21
Let v(l) = 73*l - 7. Suppose 0 = 20*r - 58*r + 38. What is the remainder when v(r) is divided by 8?
2
Suppose -5*p + 4*p = -574. Suppose 111*g - 53*g = 2784. What is the remainder when p is divided by g?
46
Suppose 391 = 3*r + 2*l, 19*r - 23*r + 5*l = -460. What is the remainder when 1370 is divided by r?
120
Suppose 34*l - 5*l - 3*l + 520 = 0. Let y be 5/3 + (-1)/(-3). What is the remainder when 165 is divided by l/y*(-140)/50?
25
Let r(g) = 403*g - 2516. What is the remainder when r(8) is divided by 71?
69
Suppose -8077 = -37*o - 4*o. Calculate the remainder when o is divided by 195.
2
Let t(b) = b**3 - 12*b**2 - 6*b + 391. Calculate the remainder when 197 is divided by t(9).
9
Let b(w) = 3*w**2 + 27*w + 38. Let t be b(-5). Calculate the remainder when 100 is divided by -7 + 2 + t/(-2).
4
Let r(s) = s**3 + 4*s**2 - 4*s + 8. Let v be r(-5). Suppose -l - 2*l = 3*b - 114, v*b + 84 = 3*l. Calculate the remainder when l is divided by 18.
15
Let k be (-1 + 0)/((-21)/63). Suppose 4*j = 4*g - 196, k*g - 8*j = -6*j + 146. What is the remainder when 141 is divided by g?
45
Suppose 0 = b - 5*p - 4 - 23, -2*b + 5*p = -29. What is the remainder when b + -5 + 119 + 4/(-1) is divided by 32?
16
Suppose 0 = -5*w + 40 - 25. Suppose 2*n = 3*l - 184, 2*l - 77 = w*n + 44. Suppose -j - 7 + 23 = 0. Calculate the remainder when l is divided by j.
14
Suppose -92*h + 59 = -89*h + 2*k, 2*h + 6*k - 58 = 0. What is the remainder when 1282 is divided by h?
7
Let a(i) be the third derivative of i**6/120 - 13*i**5/20 + 109*i**4/24 - 4*i**3/3 - 190*i**2. Calculate the remainder when 136 is divided by a(36).
24
Let z(u) = u**2 + 25*u + 21. Let n be z(-24). Let m(p) = 5*p**2 - p + 10. What is the remainder when m(n) is divided by (2/(-6))/(3/(-135))?
13
Let v(l) = -22*l - 43. Let y be v(21). Let q = y + 534. What is the remainder when q is divided by (-1 + 2)*20/1?
9
Let q(o) = 4*o**2 + 96*o - 606. Calculate the remainder when q(7) is divided by 30.
22
Suppose 94*j - 103*j + 74 + 484 = 0. What is the remainder when (-1 - 0)*(-3 + -425) is divided by j?
56
Suppose -18*b + 40 = -248. Let r(j) = 31*j**3 - j. Let n be r(1). Let y = n + b. What is the remainder when y is divided by 8?
6
Suppose -6*y + y = 3*d - 42, -5*d + 20 = 0. Suppose -4*v + 234 = -3*h + h, 6*v + 5*h - 359 = 0. What is the remainder when v is divided by y?
5
What is the remainder when 8597 is divided by (-1722)/(-12) + (7 + -9)*40/32?
137
Let o = -314 - -467. Calculate the remainder when o is divided by 81.
72
Let y(f) = 5*f**3 + 4*f**2 + 23*f - 15. Calculate the remainder when y(4) is divided by 58.
55
Suppose 0*w = -3*w + 60. Let r = w + -16. Suppose 50 = 9*f - r*f. What is the remainder when 15 is divided by f?
5
Let g(d) = -2*d + 27. Let s be g(8). Let i(l) = 3*l - 28. Suppose -6*a + 76 = -4*a. What is the remainder when a is divided by i(s)?
3
Let c = -30356 - -30362. Let a(y) = 53*y**2 - 1. Calculate the remainder when a(1) is divided by c.
4
Calculate the remainder when -4 - -269*(-62)/(-93)*(-3)/(-2) is divided by 134.
131
Let v be 0 - 4 - (-238)/21*3. What is the remainder when 591 is divided by 156/65*v/4?
15
Suppose 2*w + 5*l = -2 + 18, 5*l - 13 = -w. Suppose w*a - 279 = 36. Let d(u) = u**2 - 54*u - 94. What is the remainder when a is divided by d(56)?
15
Suppose -5*y = -5*a - 15, 0 = -5*a + 2 + 3. What is the remainder when 5 is divided by y?
1
Suppose 3*u = 5*h + 477, 11*h = 6*h - 2*u - 482. What is the remainder when ((-3)/2*2)/(h/2624) is divided by 7?
5
Let k(q) = -8*q - 86. Suppose 5*o + 49 = -96. Calculate the remainder when k(o) is divided by 25.
21
Let k be 14*78/12 - 6. Suppose -5*g + 53 = 4*i - 179, 0 = -2*g + i + k. Calculate the remainder when 86 is divided by g.
42
Let n(z) = -z - 2. Let t be n(3). Let l(o) = o**3 + 4*o**2 - 3*o + 11. Let u be l(t). What is the remainder when (u - -1) + (3 - -34) is divided by 10?
9
Suppose -9*g + 1368 = -981. Suppose 0 = 16*j - 75 - g. What is the remainder when 117 is divided by j?
12
Let r be (0 - (0 + -2)) + 33. Suppose -11*z + 47 + 239 = 0. Suppose -r = 25*s - z*s. Calculate the remainder when s is divided by 12.
11
Let n(o) = 2*o**3 - 24*o**2 - 5*o - 53. What is the remainder when n(14) is divided by 28?
17
Suppose -4*f - 3*c + 5351 = 0, 0 = -f - f - 5*c + 2693. What is the remainder when f is divided by 32?
22
Let c(p) = 48*p**3 - p**2 - p. What is the remainder when c(1) is divided by 1?
0
Suppose 1794 = -9*x + 2334. Calculate the remainder when 954 is divided by x.
54
Let n = -405 + 420. Suppose 0 = -n*m - 15*m + 60. What is the remainder when -2 + (44/(-2))/(-1) is divided by m?
0
Suppose 51 = 3*b + 3*p, 6 = b + 5*p + 1. Let z = -1 - -3. Suppose 0 = 2*s + z*s - 148. Calculate the remainder when s is divided by b.
17
Let s be -3*((-33)/