0
Suppose 0*b = 3*b + 435. Let l = -91 - b. What is the remainder when l is divided by (3/9)/((-1)/(-42))?
12
Suppose -2*s - 33*l + 4136 = -30*l, -5*s + 10358 = 3*l. Calculate the remainder when s is divided by 12.
10
Let y(h) = -h - 9. Let b be y(-9). Suppose -4*a = -b*a - 264. Suppose 3*o - a = -0*o. Calculate the remainder when o is divided by 6.
4
Suppose 4*n = -4*n - 4544. Calculate the remainder when ((-1)/1)/(n/564 - -1) is divided by 36.
33
Suppose -2 = t + 88. Let u = t + 177. Suppose 0 = -216*b + 207*b + 270. What is the remainder when u is divided by b?
27
Let l(n) = n**3 - 10*n**2 + 25*n - 12. What is the remainder when l(8) is divided by 9?
6
Let c(u) = -4*u + 15. Let n(y) = y**2 - 9*y + 8. Let m = 27 + -20. Let x be n(m). What is the remainder when c(x) is divided by 20?
19
Let w(g) = -29*g - 506. Calculate the remainder when w(-28) is divided by 11.
9
Let f(p) = -5*p - 8*p + 12*p. Calculate the remainder when f(-2) is divided by (-8)/16*(-3 + 1).
0
Let j(w) be the first derivative of 5*w**3/3 + 3*w**2 + 9*w - 17. What is the remainder when j(-3) is divided by 10?
6
Suppose 2*k - 2 = -4*q, 2*q = -2*k - k + 19. Suppose -v + 5*v + 72 = 0. Let z = 42 + v. What is the remainder when z is divided by k?
6
Let h be 3/9*9 - 0. Let o be 1/(-3) + 10/h. Calculate the remainder when 93 is divided by o/12 - 95/(-4).
21
Let d = 29 + -27. Suppose 7 = -v - p, 2*p = -d*v - 3*p - 23. Calculate the remainder when 42 is divided by 3*v/(-6) - -20.
20
Let n(a) = -22*a. Calculate the remainder when 2/6*(122 - -7) is divided by n(-1).
21
Suppose -w + 4*g + 50 = 4, -2*g = 8. Calculate the remainder when 117 is divided by w.
27
Suppose 5*d = 3*d + 6. Suppose 4*t - 5*t = 2*x - 2, d*t = -x - 9. What is the remainder when x is divided by 2?
1
Suppose -45*n - 1033 = -48*n - 2*q, 5*n = -5*q + 1725. Calculate the remainder when n is divided by 95.
58
Suppose -5*p + 5*f + 380 = -0*p, 0 = p + f - 74. What is the remainder when 3360/p - 1/(-5) is divided by 23?
22
Let d be (-3)/9 - (-455)/(-21). Let t = 24 + d. Suppose -4*p + 124 = -t*p. What is the remainder when p is divided by 21?
20
Let k be ((-10)/(-8))/(-1*4/32). Calculate the remainder when 112 is divided by (-184)/k + (-15)/(-25).
17
Let y(s) = -4*s**3 - 6*s**2 - 4*s + 4. Let n be y(-3). Suppose -5*v + x = -3*x - 161, -2*v + n = 4*x. What is the remainder when 131 is divided by v?
32
Let o = -117 + 136. Suppose -3*f + 11 = -2*f. What is the remainder when o is divided by f?
8
Let f(y) = y**3 - y**2 - 2*y - 3. Let r be f(-5). Let n = -35 - r. Calculate the remainder when n is divided by 37.
34
Let f(g) = 20*g - 13. Let r be f(3). Suppose 9*t - r = 25. Let a = 10 + 5. Calculate the remainder when a is divided by t.
7
Let b = -51 + 25. Calculate the remainder when 25 is divided by 4 + (2/(-13) - 264/b).
11
Suppose -34 + 55 = t. Calculate the remainder when 45 is divided by t.
3
Let f(b) = 5*b - 1. Let d be f(2). Suppose 5*m = -l + 9, -3*l = m - 4*m - d. Suppose -l*k = -6*k + 108. What is the remainder when k is divided by 14?
12
Suppose -m = 2*m - m. Suppose m = -3*s - 4*s + 203. What is the remainder when 115 is divided by s?
28
Suppose -714 = -4*g - 2*b, 2*g + 3*b = 100 + 263. Calculate the remainder when g is divided by 10.
7
Suppose 0 = 57*d - 34*d - 30590. Calculate the remainder when d is divided by 18.
16
Calculate the remainder when ((-244)/6)/(2/(-3)) is divided by 17.
10
Let j(r) = 52*r - 172. Calculate the remainder when j(7) is divided by 97.
95
Let v(h) = -2*h**3 - 4*h**2 - 5*h - 6. Let y be 1 + (-1 - (-1 + 4)). Let r = -16 + 23. Calculate the remainder when v(y) is divided by r.
6
Let c = -21 - -36. Let p = -15 + c. Suppose p*l = 3*h + 5*l - 34, -5*l - 5 = 0. Calculate the remainder when 49 is divided by h.
10
Let l(m) = 3*m**2 + 2*m - 1. Suppose 9 = -0*c - 3*c. What is the remainder when 59 is divided by l(c)?
19
Suppose 3*q = -5*h + 1181, 7*h = 8*h + 3*q - 241. Calculate the remainder when h is divided by 20.
15
Let z be (2/3)/(20/(-6450)). Calculate the remainder when (72/45)/((-2)/z) is divided by 16.
12
Suppose 90*a - 19897 - 5483 = 0. Calculate the remainder when a is divided by 72.
66
Let q be 88/66 + 308/(-6). Let u = -1 - q. What is the remainder when u is divided by 25?
24
Let f(m) = 135*m**2 - m - 8. Let t be f(-2). Suppose 3*x = -0*x + t. What is the remainder when x is divided by 30?
28
Suppose 15*x + 4*j = 17*x - 676, 2*j + 1358 = 4*x. What is the remainder when x is divided by 47?
11
Let k be ((-16)/(-20))/((-4)/(-90)). Let m = k + 93. Calculate the remainder when m is divided by 23.
19
Let c(l) = -l + 12. Suppose 6*d + 37 + 5 = 0. Calculate the remainder when 36 is divided by c(d).
17
Suppose r = 5*r + 2*j - 270, 0 = r - j - 69. Suppose r = i + i. Calculate the remainder when i is divided by 12.
10
Let p = -56 - -1. What is the remainder when (-2)/(0 - -1) - -11 is divided by (-66)/p*15/6?
0
Let d = 2527 - 2474. Calculate the remainder when 199 is divided by d.
40
Calculate the remainder when (20/(-50))/(14/(-280)) is divided by (1 + -2)*6/(-2).
2
What is the remainder when (-6 + (-96)/(-18))*-147*2 is divided by 34?
26
Let w be 4*14 + 3 + 0 + 1. Suppose 106 + w = 2*t. What is the remainder when t is divided by 22?
17
Let m = 2 - -14. Suppose -2*t = -z - 5*t + 16, -16 = -2*z - 2*t. Let r(u) = u**3 - 3*u**2 + 6*u - 9. What is the remainder when r(z) is divided by m?
15
Suppose -432 = -5*m - 107. Calculate the remainder when m is divided by (3 - 5)/1 - -25.
19
Let v(y) = y**3 - 8*y**2 - 11*y + 16. Let o be v(9). Let g = o + 69. Calculate the remainder when g is divided by 17.
16
Suppose 5*q = -2*k + 14, 0 = 4*k - 2*q + 5*q - 28. Suppose -3*o - 4 = -10. What is the remainder when k is divided by o?
1
Suppose -346 = -18*x + 1310. Calculate the remainder when 358 is divided by x.
82
Suppose 0 = 7*d - 188 - 134. Calculate the remainder when 500 is divided by d.
40
Suppose 0*x + 5*x - 10 = a, -x + 28 = 5*a. Let q(t) = -3 + 1 - x*t**2 - 9*t + 2*t**2 - 7. Calculate the remainder when 25 is divided by q(-6).
7
Let n(m) = 2*m**2 + 6*m + 2. Let x be n(-4). Let y(j) = -j + 23. What is the remainder when y(x) is divided by 5?
3
Let l(f) = -f**3 - 6*f**2 + 6*f + 2. What is the remainder when l(-7) is divided by 6?
3
Suppose -11*w = -4*w - 287. Suppose -5*d - 3*n + 60 = 0, -5*n + 3*n = 3*d - 35. Calculate the remainder when w is divided by d.
11
Suppose 2627 = 43*y + 434. What is the remainder when 199 is divided by y?
46
Let m = -33 + 26. Suppose 4*b - 70 - 98 = 0. Calculate the remainder when b is divided by (1 + 0)*(2 - m).
6
Suppose -3*g = -15, 0*z - z + 4*g = -51. Let n(k) = 5*k + 151. What is the remainder when z is divided by n(-23)?
35
Let k = 305 + -294. Calculate the remainder when k is divided by 1.
0
Suppose -3*v + 5*k + 24 = -4*v, 0 = 5*v + k. Let g(b) = 29*b**2 + 5*b - 4. What is the remainder when 89 is divided by g(v)?
29
Let p(g) be the third derivative of g**4/8 - 9*g**3/2 - 2*g**2. Calculate the remainder when 66 is divided by p(14).
6
Suppose -3*q - 5*w - 2 = -70, 4*q = 5*w + 44. Suppose y + 142 = 2*y. Suppose -4*r = 22 - y. What is the remainder when r is divided by q?
14
Let w = 92 - 62. What is the remainder when 174 is divided by w?
24
What is the remainder when 586 is divided by (-252)/45 + 5 + (-108)/(-5)?
19
Suppose -5824*p + 5828*p = 280. What is the remainder when 148 is divided by p?
8
Suppose 0 = b - 31*b + 150. What is the remainder when 28 is divided by b?
3
Let s(w) be the third derivative of -w**4/6 + 4*w**3/3 + 2*w**2. Let b be s(5). Let d = b + 25. Calculate the remainder when d is divided by 4.
1
Suppose -5*v - 22 - 30 = -s, 76 = 3*s + v. Let n = s - 17. Calculate the remainder when 56 is divided by n.
6
Suppose -76*a - 468 = -85*a. Suppose -4*i - 144 = 12. Let j = 57 + i. What is the remainder when a is divided by j?
16
Suppose 6*g - 54 = -3*g. What is the remainder when 341 is divided by g?
5
Let w = 5 - -6. Suppose -3*m = -356 - 94. Suppose m = l + 4*l. Calculate the remainder when l is divided by w.
8
Let q = -305 - -324. What is the remainder when 740 is divided by q?
18
Suppose -152 + 133 = -29*h + 532. Let o(k) = k**3 - k**2 - 2*k - 2. Let g be 0 - ((-4 - -2) + -1). What is the remainder when h is divided by o(g)?
9
Suppose 5 - 19 = 2*w. What is 