1). Suppose j*d = 8*d - h. Calculate the remainder when d is divided by 12.
8
Let g(s) be the second derivative of s**4/12 + 11*s**3/6 + 103*s**2/2 + 7*s - 3. What is the remainder when g(-11) is divided by 16?
7
Let q(d) = -33*d**3 + 2*d**2 + 5*d + 2. Suppose 5*g + 11 = -6*g. Calculate the remainder when 475 is divided by q(g).
27
Let a = -4 - 75. Let u = a - -79. Suppose -4*j - 6*v + 161 = -3*v, u = -j - v + 41. What is the remainder when j is divided by 13?
12
Let t(i) = -21*i - 814. What is the remainder when 701 is divided by t(-41)?
43
Calculate the remainder when 74 - (9 + (-140)/14) is divided by 10.
5
Let o be 56 + 2 - (2 + -4). Suppose 0*z = -4*z + o. Let u = 94 + z. Calculate the remainder when u is divided by 28.
25
Let n be (1/1)/((-9)/(-396)). Suppose -w - 14 = -5*j - 51, -2*w + 4*j = -n. What is the remainder when 393 is divided by w?
9
Suppose -9*l + 12 = -2*f, -22*l = -24*l + 4. Calculate the remainder when (-22)/(-4) + (-2)/(-4) is divided by f.
0
Let y(i) = 9*i**2 - 39*i + 359. What is the remainder when y(12) is divided by 25?
12
Suppose 5*g = 2*d - 25 + 106, 2*g - 72 = 2*d. Let n = d - -31. Calculate the remainder when (-3)/n*(2 + 10) is divided by 10.
8
What is the remainder when 1046 is divided by 14/112*40 + 3?
6
Let u = 374 + -195. Suppose l + u - 55 = 0. Calculate the remainder when 27 is divided by l/(-9) + 2 - 6/(-27).
11
Let r = -2531 - -2554. Suppose -5*y + 0 = -10. Suppose -6*v + y*v = l, 0 = -4*l + v + 34. What is the remainder when r is divided by l?
7
Suppose -96 = -3*p - 0*p. Let d(v) = -v - 4 + p*v**2 + 2*v + 4*v. Calculate the remainder when d(1) is divided by 12.
9
Let d = -181 + 186. Calculate the remainder when 22/(d - 270/55) is divided by 35.
32
What is the remainder when 2886 is divided by ((-5)/(15/(-17)))/((6 - 7)/(-15))?
81
Let r be (0 + (-95)/10)*(-28)/2. Suppose -2*b = i - 38, 5*i + 4*b - r - 63 = 0. Let q = 54 - i. Calculate the remainder when 37 is divided by q.
9
Let k(j) be the first derivative of 2*j**2 - 34*j + 52. Calculate the remainder when 347 is divided by k(26).
67
Let h = 14 - 38. Let o be ((-6)/(-4) + 0)*272/h. Let b = -2 - o. What is the remainder when 42 is divided by b?
12
Let j be (122/(-5))/((-10)/50). Suppose 3*r - j = 2*w - 8, 2*r - 3*w - 71 = 0. What is the remainder when 236 is divided by r?
36
Let o(m) = 38*m + 10. Let j be o(10). Suppose j = -10*u + 16*u. Calculate the remainder when u is divided by 18.
11
Let h = 311 - 540. Let s = h + 259. What is the remainder when 53 is divided by s?
23
Calculate the remainder when 2978 is divided by (-71 + 67)*404/(-16).
49
Let o be (-116)/6 + 14/(-21). Suppose 8*m - 560 - 48 = 0. Calculate the remainder when m is divided by -5*22/o*2.
10
Let y(u) = -115*u - 2303. Calculate the remainder when y(-25) is divided by 116.
108
Let y(q) = q**3 - 34*q**2 - 73*q + 50. Calculate the remainder when 41 is divided by y(36).
13
What is the remainder when ((-16)/10)/((-36978)/(-4110) - 9) is divided by 8?
4
Suppose -25*u = -27*u + 1418. Let h = u - 268. Suppose 3*i - i - h = -5*a, -269 = -3*a + i. What is the remainder when a is divided by 30?
29
Let f(q) = 44*q - 1. Let t(m) = -2*m**3 + 177*m**2 - 98*m + 902. What is the remainder when f(3) is divided by t(88)?
21
Let n(v) = -v**3 - 25*v**2 - 2*v - 34. Suppose 0*z - 5*m - 87 = z, -253 = 4*z + m. Let x = z - -37. Calculate the remainder when 31 is divided by n(x).
15
Let f = 12 + 8. Let w(k) = -5*k - 35. Let b be w(-8). Suppose 2*r - c - 17 = 0, -2*r - b*c = -r + 8. Calculate the remainder when f is divided by r.
6
Suppose 15410 = -91*q + 330*q - 7295. Calculate the remainder when 382 is divided by q.
2
Suppose b = 6*b - 530. What is the remainder when b is divided by -2*(-14 - (-156)/234*3/4)?
25
Calculate the remainder when ((-4)/10)/(4/(-10040)) is divided by 378/7 + 117/9.
66
Suppose 29*l + 893 = 2430. What is the remainder when 119 is divided by l?
13
Let l = 18 + -63. Calculate the remainder when 2 is divided by l/9 - 24/(-4).
0
Let s(n) = n**3 + 32*n**2 + 4*n + 135. Let w(k) = 14*k**2 + 21*k**2 - 3 + 2. What is the remainder when w(1) is divided by s(-32)?
6
Let h = -802 + 807. Suppose 2*d = -4, 0*d + d = h*x - 1172. What is the remainder when x is divided by 59?
57
Suppose 2*i = -10*a + 5*a + 55, -3*i + 20 = -5*a. Calculate the remainder when 33/(5*9/i) is divided by 2.
1
Let r(j) = 550*j + 8907. Calculate the remainder when r(-14) is divided by 135.
127
Let c = -8533 + 8842. Calculate the remainder when c is divided by 74.
13
Suppose 0 = 4*v + 12, -3*p + 209 = -3*v - 19. Suppose -7*s = -p - 60. Calculate the remainder when 47 is divided by s.
9
What is the remainder when 27346 is divided by 2 + -13 + -80 + 303?
210
Suppose 17*r + 903 = 24*r. Suppose 131*j - r*j = 124. What is the remainder when 245 is divided by j?
59
Let w(q) = -69*q**2 - 3*q + 2. Let n be w(1). Let d = n + 292. What is the remainder when d is divided by 25?
22
Suppose 135*u = -40*u + 3325. Let a(b) = b**3 - 4*b**2 + 2*b + 8. What is the remainder when a(6) is divided by u?
16
Suppose 4*d - 3534 = 2*r, 40*r = 45*r - 5. Calculate the remainder when d is divided by 441.
2
Suppose -5*q - 33*d + 34*d = -84, -2*d + 72 = 5*q. Let z(a) = -2*a - 8. What is the remainder when q is divided by z(-6)?
0
Suppose 0*a = -a + 7. Suppose -217 = -a*b + 133. Suppose -5*y = -5*i - b, 0 = y + 3*y + 4*i - 72. What is the remainder when 36 is divided by y?
8
Suppose r - 573 = 3*w, 3*r - 1223 - 496 = 2*w. What is the remainder when 1736 is divided by r?
17
Let k(j) = 18*j**2 - 12*j + 34. Let s be k(4). Let h = -232 + s. Calculate the remainder when 154 is divided by h.
28
Suppose -48 - 84 = -4*b - 3*v, 3*b + 4*v - 99 = 0. Suppose 13*n - 10*n - 90 = 0. What is the remainder when b is divided by -10 + n - (-1 - -3)?
15
Suppose -2*y - 2*f = -5274, -9*y + 11*y - 5278 = 2*f. What is the remainder when y is divided by 80?
78
Let u(r) be the third derivative of r**6/120 + r**5/10 - r**4/6 - 23*r**3/6 - 43*r**2 + 2. Calculate the remainder when 55 is divided by u(-5).
11
Let r(n) = -2*n**3 + 8*n**2 - 8*n + 4. What is the remainder when 98 is divided by r(1)?
0
Calculate the remainder when (-4)/6*(-46 - -1) is divided by (72/4752 - 4/22) + 134/12.
8
Let j(f) = 66*f**2 + 22*f - 74. Let r be j(5). What is the remainder when 4/(-14) - (r/(-21) + 1) is divided by ((-1 - 1) + 3)*9?
7
What is the remainder when 13 is divided by 57152/5168 + (-2)/34?
2
Calculate the remainder when 254 is divided by (20/50)/(((-24)/3930)/(-2)).
123
Let z = 26 + -21. Suppose -z*r + 56 = -5*u - 99, 31 = r + 2*u. What is the remainder when r is divided by (-7)/(-2) + -2 - 29/(-2)?
15
Let t = -58 + 60. Suppose -t*c = -504 + 144. Calculate the remainder when ((-13)/(78/c))/((-6)/4) is divided by 8.
4
Let m be ((-4)/(-10))/(-1)*(-70)/7. Suppose m + 19 = k + 2*l, -5*k - 2*l = -91. Calculate the remainder when 269 is divided by k.
14
Let w(j) = -1402*j - 4939. Calculate the remainder when w(-5) is divided by 17.
14
Suppose a = 20 - 26. Calculate the remainder when 53 is divided by -2*(a + 10/4).
4
Suppose -t + 147 = 139. Let h = 238 - 164. Calculate the remainder when h is divided by t.
2
Let o = 23791 - 4955. What is the remainder when o is divided by 13?
12
Let d be 992/24*27/6. Suppose -124*m - d = -127*m. Calculate the remainder when m is divided by 21.
20
Suppose -5*n - 5*r + 1470 = 0, -2*n + 588 = -r - 0*r. Let d = 591 - n. Calculate the remainder when d is divided by 43.
39
Let w = 205 + -254. Calculate the remainder when (w/(-28)*21)/((-3)/(-8)) is divided by 34.
30
Suppose 3*i + 180 = 5*i. Suppose 5*b + 3*p = b + 70, 5*b - i = -5*p. Suppose 5*k - 391 = -3*h, h = 3*h + k - 256. What is the remainder when h is divided by b?
15
Suppose -2*o + q + 14 = -q, 0 = 5*o - 3*q - 39. Let n(p) = -20*p**3 - 39*p**2 - 41*p - 1. What is the remainder when n(-1) is divided by 51/o - (-1)/3?
3
Suppose 36 + 40 = 4*x. Let s be 3*6*((-4)/(-18) + 0). Suppose s*o - 40 = -2*y + 6*y, -64 = -4*o - 4*y. What is the remainder when x is divided by o?
6
Let u(g) = 91*g**2 + 754*g + 12. What is the remainder when u(-9) is divided by 2?
1
Let z = -22 + 60. Let u(n) = -n**2 - n + 22. Let k be u(-5). Suppose 28 = o + 3*o - 4*p, -k*o = 5*p - 35. Calculate the remainder when z is divided by o.
8
Suppose i -