2 - 8*v + 22. Let z be j(-9). Let a = z - 11. Let t = 22 - a. Calculate the remainder when 37 is divided by t.
17
Suppose 12*f - 20*f + 176 = 0. What is the remainder when 72 is divided by f?
6
Let w = 252 - 58. Calculate the remainder when w is divided by 14.
12
Let c = -112 + 176. Let b = c - 52. Calculate the remainder when b is divided by 1*(-1 + -3)*-1.
0
Let u = 124 + -67. What is the remainder when 340 is divided by u?
55
Let q be (-750)/(-26) + 28/182. Suppose 0 = 5*z - 191 - q. Calculate the remainder when z is divided by 18.
8
Let d(z) be the first derivative of -z**3/3 + 9*z**2/2 + 15*z + 17. What is the remainder when 98 is divided by d(5)?
28
Let s = 1 - 1. Calculate the remainder when 75/(-6)*4/(-5) is divided by -1 - 0 - (-5 - s).
2
Let n(y) = 10*y - 97. Calculate the remainder when 153 is divided by n(14).
24
Let p = -51 + 74. Calculate the remainder when 59 is divided by (p/(-69))/(2/(-72)).
11
Let b(v) = 7*v**3 + 2*v**2 + 8*v - 19. Calculate the remainder when 485 is divided by b(2).
58
Suppose -r - 272 = -5*n + 292, 0 = -3*n - 2*r + 341. Calculate the remainder when n is divided by 5.
3
Let s be 4/(-4)*(-2 + 2). Suppose s*u = -3*u - l + 25, 0 = 4*u + l - 32. Let p(c) = c + 2. Calculate the remainder when p(16) is divided by u.
4
Let k(z) = 8*z + 1 - 4*z + 4. What is the remainder when 23 is divided by k(2)?
10
Suppose -47 + 563 = 12*n. Calculate the remainder when n is divided by 23.
20
Let h(w) = w**2 - w + 1. Suppose -2*p = -3*p + 2. Suppose -3*l = -p*r - 4*l + 12, -3*r - 3*l = -12. Calculate the remainder when h(-3) is divided by r.
5
Let l = 13 + -19. What is the remainder when (-71)/(-2) - l/(-12) is divided by (-3)/6 - (-50)/4?
11
Let z = -10 + 22. Let h = z - 2. What is the remainder when 28 is divided by h?
8
Let s(i) = i**2 + 6*i + 8. Let b be s(-8). Suppose 54 - b = 3*u. What is the remainder when ((-24)/20)/((-1)/15) is divided by u?
8
Suppose -9*h + 6*h - l = -366, 2*h - 7*l = 267. Calculate the remainder when 368 is divided by h.
122
Suppose 0 = -5*c - 25, -k = -c - 4*c - 149. What is the remainder when k is divided by 5?
4
What is the remainder when 1*178 + (-40)/(-10) is divided by 51?
29
Suppose 4*n + 5*j - 129 = 0, -5*j + 63 = 2*n - 2*j. Suppose 88 = 4*l - 2*d, 4*l - 3*d - 172 + 82 = 0. Calculate the remainder when n is divided by l.
15
Suppose -7*c + 324 = 93. Let u = c - 13. Suppose -2*q - a = -159, 4*q = -q + 2*a + 375. What is the remainder when q is divided by u?
17
Let o(u) = 11*u - 16. Let c be o(5). Let b = c + -29. Calculate the remainder when 49 is divided by b.
9
Let s(o) = -15*o - 43. Calculate the remainder when s(-5) is divided by 26.
6
Suppose -70 + 84 = -24*a + 350. Calculate the remainder when (2 - 1)/((-2)/(-190)) is divided by a.
11
Calculate the remainder when 14/10 - 13230/(-175) is divided by 29.
19
Suppose -4 = 7*t - 5*t. Let o be -6*(-41)/(-4)*t. Suppose 324 = 3*z + o. Calculate the remainder when z is divided by 34.
33
What is the remainder when ((-7521)/(-138))/((-1)/4*-2) is divided by 0 - -23 - (-2)/(-2)?
21
Let g be (-30)/(-20)*(-1 + 13). Let i = 1 + 2. Suppose 5*z = 3*d + 76, i*z - 2*d - g = 2*z. Calculate the remainder when 55 is divided by z.
13
Let k = 23 - -131. Suppose -4*m = -u - 114 - 9, 4*m + 2*u - 126 = 0. What is the remainder when k is divided by m?
30
Suppose -3*j - d = 82 + 24, 141 = -4*j - d. Let i = j + 46. Calculate the remainder when i is divided by 7.
4
Let c be -3 + 6/(30/(-1585)). What is the remainder when 93 is divided by ((-9)/4)/(30/c)?
21
Suppose -216 = -3*a + 3*q, -2*a + 5*a - q = 206. Let j = a + -33. Calculate the remainder when 100 is divided by j.
32
Suppose 27*x - 1109 = 25*x + 3*n, -2*x + 1112 = -2*n. Calculate the remainder when x is divided by 113.
107
Suppose 5*p = 4*w + 18, -p + 2*w = 7*w + 8. Suppose 74 = 4*f + p*q, 2*f - 58 = -f - 4*q. Let b = f - 4. What is the remainder when 51 is divided by b?
9
What is the remainder when 46 is divided by 66*4/6*120/160?
13
Let k be ((-214)/(-3))/(13/39). Let v = -12 - -17. Suppose -v*r + k = -3*l, 0 = 4*r - 4*l - l - 166. Calculate the remainder when r is divided by 23.
21
Let h be -5 - -1 - (1 - -1). Let n = 14 + h. Suppose -3*v - 3*w - n + 47 = 0, 4*w - 64 = -5*v. Calculate the remainder when 35 is divided by v.
11
Let v = -461 - -467. Suppose 4*x - 66 = -2*u, -x + 4*u + 20 = -1. Calculate the remainder when x is divided by v.
5
Let r(m) = 10 - 3*m - 3*m**2 - m**3 - 4*m**2 - 3*m. Calculate the remainder when 59 is divided by r(-6).
9
Suppose 0 = 3*z + 3*z - 1584. Calculate the remainder when z is divided by 14.
12
Let a(f) = f**3 - 10*f**2 - 9*f - 15. Let h be a(11). Suppose -h*i = -12*i + 485. What is the remainder when i is divided by 25?
22
Suppose 3*d + 5*s - 750 = 0, -6*d = -8*d + s + 487. Calculate the remainder when d is divided by 103.
39
Let t(i) = i**2 - 7*i + 11. Suppose 4*r + 32 = 8*r. Let f = -118 - -172. Calculate the remainder when f is divided by t(r).
16
Suppose 20 = q - 2*l, -3*q - 5*l = -24 + 8. Suppose 4*o + 5 = 5*o. Calculate the remainder when q is divided by o.
2
Let h = 131 + -60. Let j = -30 + h. Calculate the remainder when 115 is divided by j.
33
Let d = -2 - -15. Suppose -m = -3*g - 24, -2*g - 214 - 10 = -5*m. What is the remainder when m is divided by d?
9
Let u(r) = r**2 + 29*r + 90. What is the remainder when u(11) is divided by 9?
8
Let p be 2*2 + 8/(72/(-9)). Suppose 0 = -3*m - 0*m + 9. Suppose -m*t + 24 = p. Calculate the remainder when t is divided by 3.
1
Suppose -4*s + 179 = 3*l, 2*s - 159 = -2*s + l. Calculate the remainder when ((-350)/8 - 2)/((-3)/8) is divided by s.
40
Suppose 0 = -6*o + 479 + 199. What is the remainder when o is divided by 57?
56
Let m = 136 - 96. Suppose l - 4*t = 5*l - 12, m = 4*l - 3*t. Calculate the remainder when 16 is divided by l.
2
Suppose 0 = 26*h - 249 - 453. Calculate the remainder when 161 is divided by h.
26
Suppose -5*m + 2*d = 42 + 9, 4*m + 2*d = -30. Let x(r) = -12*r - 1. Calculate the remainder when x(m) is divided by 28.
23
Suppose 0 = a - 4*w - 24, -21*w = -3*a - 18*w + 45. What is the remainder when 227 is divided by a?
11
Let r = 65 - 7. What is the remainder when r is divided by 54?
4
Let i(d) = -d**2 + 14*d + 5. Let y be 7/35 + (-2)/10. Suppose v - 6 - 6 = y. Calculate the remainder when i(v) is divided by 8.
5
Let t be (24/12)/(4/2) + 0. Let a(z) = -z**3 - 2*z**2 + 1. What is the remainder when (-2 - t/(-1))*(-24 - 3) is divided by a(-3)?
7
Suppose 0*w + 35 = 4*q + w, 4*q - 39 = 3*w. Calculate the remainder when 208/(-40)*-5*(-1 - -2) is divided by q.
8
Let m(w) = 2*w**3 - 11*w**2 + 13*w - 3. What is the remainder when m(5) is divided by 23?
14
Suppose -524 = 4*k - 5*y - 2191, -5*k + 2077 = -4*y. What is the remainder when k is divided by 71?
58
Suppose -26 - 1 = -3*a. Suppose 2*k = 3*k + 3*y - a, 0 = 4*y - 4. Suppose 40 = k*h - 4*h. Calculate the remainder when 39 is divided by h.
19
Let q(y) be the second derivative of -y**4/12 + 7*y**3/3 - y**2/2 + 6*y. What is the remainder when q(10) is divided by 20?
19
Suppose j + 12 = -3*j. Let l = 4 - j. Suppose -8*u + 3*u + 37 = 4*g, 4*u = 5*g + 5. Calculate the remainder when l is divided by u.
2
Calculate the remainder when (-1341)/(-18) - (-3)/(-6) is divided by 14.
4
Let r(i) = -i**2 - i + 215. Let x be 2 - (0 - 1 - 10). Let n = x - 5. What is the remainder when n is divided by r(-15)?
3
Let p(a) = 2*a**3 + 2*a**2 + 2*a - 2. Suppose -23 = 5*b + 12. Let s(w) = -w**2 - 10*w - 14. Calculate the remainder when p(2) is divided by s(b).
5
Suppose 4*s = 4*o - 6*o + 100, -4*s + 2*o = -84. Calculate the remainder when s is divided by 9/(-2)*(-16)/6.
11
Suppose 2*j - 2*y - 211 = -5*y, -2*y - 430 = -4*j. Let n = 160 - j. What is the remainder when n is divided by 28?
25
Suppose 0 = c - 3, 3*u + 4*c = 2*c + 333. What is the remainder when u is divided by (-55)/3*1254/(-1045)?
21
Suppose -78 = 3*v - 213. Suppose 4*w = -2*x - 4 + 24, -5*x + 3*w = -63. Calculate the remainder when v is divided by x.
9
Let b(j) = -4*j**2 + 6*j + 1. Let n be b(5). Let w = 89 + n. What is the remainder when w is divided by 13?
7
Suppose -3 = -7*o + 11. Calculate the remainder when (-1488)/(-84) + o/7 is divided by 5.
3
Suppose 5*o = -c + 98, 24*c - 26*c + 101 = 5*o. What is the remainder when 930 is div