emainder when s is divided by w(0)?
3
Let r(v) = v**3 + 55*v**2 + 104*v - 93. What is the remainder when 714 is divided by r(-53)?
12
Let t(i) = -i**3 + 20*i**2 - 37*i + 71. What is the remainder when t(18) is divided by 4?
1
Suppose 146 = 5*b + 3*g, 5*b - 5*g = 47 + 123. Calculate the remainder when 79 is divided by b.
17
Let q = -164 - -239. Let o be (1 - (-3 - -5))*-1. Suppose 0 = 2*b + j - 35 - o, -4*b - 3*j + 70 = 0. Calculate the remainder when q is divided by b.
18
Let w(j) = 10*j - 24. Suppose -3*b - k + 47 = 0, 0 = 3*b + 4*k - 6 - 29. What is the remainder when w(9) is divided by b?
15
Let t(g) = 3*g - 23. What is the remainder when ((-1)/(-2))/((-8)/(-288)) is divided by t(10)?
4
Suppose -6*y + 74 + 118 = 0. Calculate the remainder when 254 is divided by y.
30
Let s = 20 + -12. Suppose 220 = 5*g - 125. Suppose -2*r + g = r. Calculate the remainder when r is divided by s.
7
Suppose 14*y - 818 = 12*y. What is the remainder when y is divided by 82?
81
Let a be 1 + (-3 - 1) - -122. Suppose 13*z - a = 427. Calculate the remainder when 80 is divided by z.
38
Suppose -8605 = 51*v - 56*v. Calculate the remainder when v is divided by 82.
81
Suppose -88 = -3*z + 35. Suppose 28*h - 26*h = 3*c - 77, 135 = 5*c - 5*h. What is the remainder when z is divided by c?
18
What is the remainder when -22 + 24 + 8043/((-6)/(-2)) is divided by 11?
10
Let r = 491 - 480. Calculate the remainder when 174 is divided by r.
9
Let j = 336 + -329. Suppose -4*r - 2*m = -12, -4*m + 8 = 3*r + r. Suppose -r*a = 8, 5*l = -4*a + 88 + 24. What is the remainder when l is divided by j?
3
Let u(g) = 2*g + 20. Suppose -3*p + 9 - 33 = 0. What is the remainder when 13 is divided by u(p)?
1
Suppose 0 = 5*j - 317 - 73. Suppose p + 2*p = j. Let t = 32 - 18. What is the remainder when p is divided by t?
12
Suppose 117 = 13*k - 104. What is the remainder when 185 is divided by k?
15
Let m(t) = t**3 - 6 - 5*t - 4*t**2 + 2*t - 5*t + t. Let h = -162 + 175. What is the remainder when m(6) is divided by h?
11
Suppose -2*i + 3*g = 34 + 53, -4*g - 66 = 2*i. Let n = -21 - i. Suppose -2*p + 12 + n = 0. Calculate the remainder when 57 is divided by p.
12
Let b(n) = -n**3 - 5*n**2 + 5*n - 6. Let q be b(-6). Suppose q = -3*a - 3 + 9. Suppose -o - 3 = -a*o. Calculate the remainder when 11 is divided by o.
2
Let f = 76 - 54. Let d = 51 - f. Suppose 4*q = -o + 6, -3*o + 18*q - 14*q = -34. What is the remainder when d is divided by o?
9
Suppose 4*f - 8 = 8. Suppose -f*t - t = -35. What is the remainder when 12 is divided by t?
5
What is the remainder when (23/(-35) + 44/(-308))*-715 is divided by 41?
39
Let i(o) = 3*o**2 - 3*o + 2. Let a(c) = 16*c**2 - 16*c + 11. Let p(y) = -2*a(y) + 11*i(y). What is the remainder when 36 is divided by p(5)?
16
Let d = 24 + 74. Let m = -16 + d. What is the remainder when m is divided by 12?
10
Let y(k) = 3*k**2 - 8. What is the remainder when 21 is divided by y(-2)?
1
Let s(y) = -1 + 25*y + 17*y - y - 1. What is the remainder when 114 is divided by s(1)?
36
Suppose 0 = w + 3*r - 39 - 48, w - r - 83 = 0. Suppose 28*l = 24*l + 116. What is the remainder when w is divided by l?
26
Let m(c) = -c**3 + 12*c**2 - 13*c - 71. What is the remainder when 149 is divided by m(9)?
39
Let b(g) be the third derivative of -3*g**4/8 - g**3/3 - g**2. Let p be b(-5). What is the remainder when 1 + 2 + p + -2 is divided by 23?
21
Let f(y) = 5*y**2 + 9*y + 8. Let z be f(8). What is the remainder when (3/(-3))/((-5)/z) is divided by 41?
39
Suppose -602 = 26*p - 1928. What is the remainder when 84 is divided by p?
33
What is the remainder when 63 is divided by -3 - 19/(3 + (-21)/6)?
28
Let n be (-3 + 5)/(2/40). Let v = n + -36. What is the remainder when 12 is divided by v?
0
Suppose 8*x = -2*h + 11*x + 534, 2*h + 4*x - 506 = 0. Calculate the remainder when h is divided by 8.
5
Let r = -62 + 272. What is the remainder when r is divided by 17?
6
Suppose 4*z - 2*z - 14 = 2*i, 0 = -4*z + 5*i + 33. Suppose z*o = b - 3 - 0, -3*b + 20 = 5*o. What is the remainder when 17 is divided by b?
2
Let w = -58 - -64. Suppose 9 + w = 3*j. Calculate the remainder when 27 is divided by j.
2
Suppose 11*h = 15*h - 116. Calculate the remainder when h is divided by 15.
14
Let w = 61 + -64. Let g(i) = 2*i**3 - 4*i**2 + 4*i - 2. What is the remainder when 112/40*w/6*-10 is divided by g(2)?
2
Suppose 0 = 2*g + 3*g + 15, -10 = 2*x + 2*g. Calculate the remainder when 69 + 2 - x - 2 is divided by 19.
14
Let h(v) = -v**2 - 17*v + 22. Let w be h(-18). Suppose 24 = z - w*g, 84 = 2*z + 2*z - 4*g. What is the remainder when 57 is divided by z?
17
Let y(g) = 3*g - 3. Let l(j) = j**2 - 4*j + 3. Let p be l(6). Let v = p + -6. What is the remainder when y(6) is divided by v?
6
Suppose -11 = -6*z + 3*z - l, -15 = -4*z - l. What is the remainder when 18 is divided by z?
2
Let x(z) = -z**3 - 12*z**2 - 11*z + 4. Let b be x(-11). Suppose -5*q - 85 = -5*o, 5*q = -3*o + b*q + 43. Calculate the remainder when 59 is divided by o.
14
Suppose -10*f + 5*f = -270. Let x = f + -37. What is the remainder when x is divided by 6?
5
Let c(h) = h**3 + 19*h**2 - h - 28. Let r be c(-19). Let t be 3 - (-14)/(-2) - r. Let b(k) = k**2 - 5*k + 3. What is the remainder when 3 is divided by b(t)?
0
Suppose 0 = 3*y + 15, -3*y = z + 2*z + 3. Suppose 11*v = 10*v + 3. What is the remainder when z/(-8)*44/(-2) is divided by v?
2
Let l = 0 - -4. Let d(p) = -p**3 - 6*p**2 + 6*p - 2. Let i be d(-7). What is the remainder when 2/i*105/3 is divided by l?
2
Let x(p) = 370*p**2 + 15*p - 17. Calculate the remainder when x(1) is divided by 10.
8
Let p(t) = 6*t - 8*t + 3*t + 16. Calculate the remainder when 48 is divided by p(-3).
9
Suppose 45*q - 23*q - 2794 = 0. What is the remainder when 520 is divided by q?
12
Let t(u) = -3*u**2 + 5*u + 2*u**2 - 15 - 10*u**2 - u**3. Calculate the remainder when t(-12) is divided by 24/10*15/2.
15
Let b be (-5)/((-20)/(-36))*(-6)/(-9). Calculate the remainder when (33/(-2))/(3/b) is divided by 2/7 + (-244)/(-28).
6
Let c(r) = 10 - 17*r + 12 + 18*r. What is the remainder when 27 is divided by c(-15)?
6
Suppose 39*n = 176 + 1111. What is the remainder when 186 is divided by n?
21
Suppose 5*s = -5*w + 1290, 5*w = 3*s - 929 + 139. Calculate the remainder when s is divided by 132.
128
Suppose 5*g - 186 = -4*h, 5*g + 189 = 10*g + h. Let p(z) = 2*z**2 + 13*z + 5. Suppose 2*m - 12 + 32 = 0. What is the remainder when p(m) is divided by g?
37
Let q(f) = f**3 - 15*f**2 - 17*f + 16. Let l be q(16). Suppose -4*v + 3*v + 2*d + 116 = l, 3*v - 360 = 2*d. Calculate the remainder when v is divided by 25.
22
Let k be (-4)/16*0 - -14. Let l = 18 - k. Suppose -l*v + 16 = -12. What is the remainder when v is divided by 2?
1
Suppose -81*h + 4993 = -110. Calculate the remainder when 375 is divided by h.
60
What is the remainder when 353 is divided by (-714)/(-12) + (1 - 1/2)?
53
Suppose -2*v - 176 = -2*n, -4*v - 184 = 4*n - 6*n. Let h = -428 + 440. Suppose 6*o + h = n. What is the remainder when 44 is divided by o?
8
Let w = -1061 + 1232. Calculate the remainder when w is divided by 26.
15
Calculate the remainder when 130 + (-7)/((-28)/36) is divided by 74.
65
What is the remainder when (351/3)/((1 - 0)/1) is divided by 5?
2
Let r = 264 + -179. Suppose r = 4*n - 55. What is the remainder when 136 is divided by n?
31
Let h = 105 - 157. Let m = h + 66. Calculate the remainder when 68 is divided by m.
12
Let d be ((0 - 0)/(-3)*-1)/(-3). Suppose 2*f + z - 92 = d, 4*f + z - 263 = -77. Calculate the remainder when f is divided by 12.
11
Let m = -63 + 79. Suppose -4*z + 3*u = -5*z + 17, -m = -z - 4*u. Calculate the remainder when 97 is divided by z.
17
Suppose 0 = 2*d - 4*d + 2*c + 80, -5*d + 2*c = -194. Calculate the remainder when d is divided by 9.
2
Suppose -4*q + 853 = d, 5*q + 4*d - 217 = 4*q. What is the remainder when q is divided by 24?
21
Suppose 8*f = 1359 + 457. What is the remainder when f is divided by 19?
18
Suppose -667 = -8*a - 15*a. Calculate the remainder when 172 is divided by a.
27
Let a be ((-8)/(-10))/((-9)/180). Let d = 1 - a. What is the remainder when d is divided by (2 - 1)*((-20)/(-5) + 6)?
7
Suppose -2*d + 5*l - 158 = -5*d, 0 = -3*d + 4*l + 176. Suppose -22*s + 20*s = -d. What is the remainder when s is divided by 10?
8
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