
Suppose -14*d + 14 = -7*d. Suppose 3 = d*j - 3. Suppose y + 82 = i, 0*i - 5*i + j*y = -400. Calculate the remainder when i is divided by 27.
23
Let t(v) = v**3 + 5*v**2 - v + 3. Suppose 6 = -2*q - 2*y, -4*q - 33 = -5*y - 3. Suppose 154*p = 157*p - 72. What is the remainder when p is divided by t(q)?
0
Let w(t) be the second derivative of t**4/12 - 17*t**2 - 20*t + 1. What is the remainder when w(-8) is divided by 17?
13
Let p be (36/10)/(2 - 44/20). Let w(m) = m + 26. Let f be w(p). Suppose -10*x = -f*x - 66. What is the remainder when 129 is divided by x?
30
Let r(n) be the second derivative of 31*n**3/6 - 171*n**2/2 - 2*n - 118. Calculate the remainder when 84 is divided by r(6).
9
Suppose 266 = y - 30. Let k = y + -197. Calculate the remainder when k is divided by 52.
47
What is the remainder when 815 is divided by 1 - 1226/(-6) - 1020/(-1530)?
197
Calculate the remainder when (-8)/(-68) - 4552/(-34) is divided by 21.
8
Let u = 63 - 17. Suppose 0*z - 5*p + 1 = -z, 5*p - u = -4*z. Calculate the remainder when 41 is divided by z.
5
Suppose 1031 = -43*s + 4858. Calculate the remainder when 268 is divided by s.
1
Suppose a + 3*a - 60 = 0. Suppose 23*m - 3642 = 2108. What is the remainder when 734/10 - 100/m is divided by a?
13
Let w = 3488 + -3247. What is the remainder when w is divided by 79?
4
What is the remainder when (-16191)/35*(-250)/150 is divided by 31?
27
Let i = -202 - -472. Let w = i + -259. What is the remainder when 20 is divided by w?
9
Let h(f) = -413*f - 10. What is the remainder when h(-10) is divided by 13?
12
Suppose -g + 105 = 5*b + 34, -5*g = -4*b - 181. What is the remainder when 1186 is divided by g?
38
Let a(v) = v**3 + 46*v**2 + 51*v + 710. Calculate the remainder when a(-45) is divided by 13.
11
Let w(h) = 129*h - 2. Calculate the remainder when w(2) is divided by (-882)/(-189)*(-78)/(-7).
48
Suppose 7*g - 167 - 43 = 0. What is the remainder when (-308 + g)*1/(-2) is divided by 20?
19
Calculate the remainder when 1082 is divided by ((-2)/5 + 0)*5650/(-20) + -5.
2
Suppose p + 4 = -d - 4*p, 4*p = -4*d + 16. Let g(s) = s**3 - 5*s**2 - 2*s - 23. Let m be g(d). Calculate the remainder when 6 is divided by (-13 + m)/(6/(-3)).
0
Let w be -482 + 0 - (31 + -23). Let v = w - -573. What is the remainder when v is divided by 46?
37
Let x = 443 - 358. Let j = 28 + x. What is the remainder when j is divided by 31?
20
Let s = 53 + -46. Suppose 306 = 2*r + s*r. Calculate the remainder when 133 is divided by r.
31
Let b = 113 + -114. Let d be b - -3 - 1 - (13 + -14). Calculate the remainder when 10 is divided by (-9)/(-2)*(2 + d/(-3)).
4
Let y = 90 - 63. Let z be ((-11)/(330/(-1490)))/((-2)/(-6)). Let x = z + -96. What is the remainder when x is divided by y?
26
Calculate the remainder when ((3 - 2)*0)/(-1) - -375 is divided by 8.
7
Let w(k) = -k**2 + 23*k - 14. Suppose 2*a + 4 = -5*c, 29*a - c = 30*a - 7. Calculate the remainder when w(17) is divided by a.
10
Suppose -175*t + 224*t - 833 = 0. Calculate the remainder when 395 is divided by t.
4
Suppose -445*j + 444*j + 202 = 0. Calculate the remainder when j is divided by 109.
93
Let h = 3288 + -2520. What is the remainder when h is divided by 55?
53
Suppose -51*u + 9 = -48*u. Let p = -1 + 3. Suppose -p*x + t = -0*x - 9, -x = t. Calculate the remainder when u is divided by x.
0
What is the remainder when 1293*((-7)/(-3) - 5*6/30) is divided by 20?
4
Suppose -5*c + 3*b = 5*b - 1019, -3*c + 606 = 3*b. Let k = -186 + c. What is the remainder when 436 is divided by k?
18
Suppose 4*x - 2*c - 370 = 0, 2*x - 1465 = 2*c - 1275. What is the remainder when 154 is divided by x?
64
Let a(y) = 9*y**3 - 2*y**2 - 13*y + 4. Calculate the remainder when a(6) is divided by 30.
28
Let i = -3344 + 3396. Calculate the remainder when 585 is divided by i.
13
What is the remainder when 53 is divided by (-2236)/(-208) - (6/8 - 0)?
3
Let q be 10/6*(-1950)/(-5). Let i be 55/(25/15*3). Suppose -i*x = 243 - q. Calculate the remainder when 110 is divided by x.
36
Let s be ((-14)/(-4))/(15/30). Suppose 864 = s*w + 9*w. What is the remainder when w is divided by 12?
6
Let j(w) = w**3 - 9*w**2 + 35*w - 200. Calculate the remainder when 2559 is divided by j(8).
15
What is the remainder when 477 is divided by (-1736)/40 - -44 - (-407)/5?
67
Let r = 19815 - 19790. Suppose 2*n - 4*n = -154. What is the remainder when n is divided by r?
2
Suppose -9*q + 1929 = -w, 0 = 2*q + 5*w + 143 - 556. What is the remainder when q is divided by 5?
4
Suppose 1311*t - 1293*t = 13482. What is the remainder when t is divided by 236?
41
Suppose 2243 = 69*u + 165*u - 4543. Let z be (-1)/(((-4)/6)/2). Suppose -z*h + 17 = -34. Calculate the remainder when u is divided by h.
12
Let s = -98 - -98. Suppose s = q - 4*q + 108. What is the remainder when q is divided by -1 - ((-3)/1 + -18)?
16
Suppose -3*t + 5*j + 73 = 0, -5*t + 4*j + 66 = -34. Suppose -m + 26*m = 1800. What is the remainder when m is divided by t?
8
Suppose 82*r - 101*r + 380 = 0. Calculate the remainder when r is divided by 12.
8
Suppose 95 = 5*z - 0*z. Let d = z - 14. Let j(s) = s**3 - 4*s**2 + 5*s - 4. Calculate the remainder when j(d) is divided by 8.
6
Suppose -3 = -4*l + 1, -13*l + 322 = 3*s. What is the remainder when 476 is divided by s?
64
Suppose -54 = -180*b + 178*b. Suppose -15*m = -13*m - 2*o - 2, 2*m - b = -3*o. What is the remainder when (7 - -1)*(-2 + 3) is divided by m?
2
Let x be (44/66)/((-4)/(-30)). Let o be -2 - (-5 + x + -1). Calculate the remainder when 27 is divided by 12/((5 - 6) + o + 3).
3
Let p = 178 + -103. Suppose c + 2 = 3. Suppose -o = -c, -15 = 2*z - o - 66. What is the remainder when p is divided by z?
23
Let p(m) = 2*m**2 - 378*m - 2725. Calculate the remainder when 14534 is divided by p(-7).
18
Suppose -6*s - 9 = n - 7*s, -9 = n + s. Suppose -6*m + 216 = -2*m. What is the remainder when 768/m + (-3 - 25/n) is divided by 8?
6
Let z = 10705 + -10313. What is the remainder when z is divided by 35?
7
Suppose -2984 = -30*a - 764. Suppose -2*v = -0*h + 5*h - 55, -a = -4*v + 2*h. What is the remainder when 54 is divided by v?
14
Let l(h) = -h**3 + 9*h**2 + 6*h - 5. Suppose b - 4*b = -27. What is the remainder when l(b) is divided by (13*1)/((-7)/(-14))?
23
What is the remainder when -12 + (-5630)/(-15) + (-4)/(-6) is divided by 52?
0
Let w = 5289 - 5190. Calculate the remainder when w is divided by 3.
0
Suppose -11*x + 4986 = -206. What is the remainder when x is divided by 30?
22
Let d(f) = 3*f**3 + 123*f**2 - 258*f + 71. What is the remainder when 3688 is divided by d(-43)?
67
Calculate the remainder when 1401 is divided by -6 + 284/12 - (-1)/3.
15
Calculate the remainder when 34/1*4002/348 is divided by 82.
63
Let d(f) be the third derivative of 11*f**5/60 + f**4/6 - f**3/6 + 15*f**2 - 2. Let h = 34 + -19. Calculate the remainder when h is divided by d(-1).
3
Let b = -21085 + 21098. What is the remainder when 3069 is divided by b?
1
Let y(i) = i**2 + 5*i - 61. Suppose -106*j = -104*j - 50. What is the remainder when y(10) is divided by j?
14
Let i(s) = s**3 - 24*s**2 + 44*s + 4. Let x be i(22). Suppose 2*d + 830 = x*d. What is the remainder when d is divided by 16?
15
Calculate the remainder when (-2 - -153)*(-3 - (-8)/2) is divided by 12.
7
Let j(u) = 139*u - 4323. What is the remainder when j(32) is divided by 53?
19
Let m(q) = 171*q**2 + 10*q - 9. Let k be m(1). Let p = k + -101. What is the remainder when p is divided by 15?
11
Let y(k) = 33*k**3 - 31*k - 31*k**3 - 13 + 11*k**2 + 7*k. Suppose 5*b - 3*d - 137 = 0, b = 5*b - 5*d - 107. What is the remainder when b is divided by y(-7)?
4
Let t be 1/6 - 1 - 3/18. What is the remainder when 37 - (3 + -1*4) is divided by (4 + (-128)/12)*(-4 - t)?
18
Suppose 3*m - 2 = -s, 26 = 3*m - 2*s - 3*s. What is the remainder when 0 - m/(-5) - 1264/(-40) is divided by 5?
2
Let z(h) = -17*h - 76. Let b = 107 + -112. Calculate the remainder when 15 is divided by z(b).
6
Suppose -140*y + 81 + 408 = -1191. Suppose -2*f + 4*c = -28, 5*f + 3*c - 106 = 4*c. What is the remainder when f is divided by y?
10
Calculate the remainder when 319 is divided by ((-693)/(-924))/(0 - 3/(-92)).
20
Let m = 40 + 121. Let y = m - 145. Let a = -16 - -26. Calculate the remainder when y is divided by a.
6
Suppose -3911 = 27*h - 15