
5
Let q = 902 + -1391. Let h = 624 + q. Suppose 3*x - 6*x + 79 = 2*t, t - 38 = -x. Calculate the remainder when h is divided by t.
30
Let y = 668 + -302. Let t = -355 + y. What is the remainder when 22 is divided by t?
0
Let o(w) = -3*w - 18. Let p be o(-8). Let b(y) be the third derivative of 7*y**4/12 - 5*y**3/6 - 7*y**2. What is the remainder when b(p) is divided by 20?
19
Suppose 5*d - 535 = -0*d. Suppose 3*z - 46 = 5*i + 22, 28 = 2*z + i. Calculate the remainder when d is divided by z.
11
Let s = 509 - 288. What is the remainder when s is divided by 25 + (-10 - 2) + (2 - -4)?
12
Suppose 458*i = 428*i + 5130. Suppose b + 5*p - 24 = -0*p, p + 59 = 2*b. What is the remainder when i is divided by b?
26
Suppose 5*c + 1950 = 5*q, 33*q = 37*q + 4*c - 1536. What is the remainder when q is divided by 27?
9
Let y = 1738 + -1072. Calculate the remainder when y is divided by 121.
61
Suppose 0 = 42*y + 231*y - 506142. Calculate the remainder when y is divided by 58.
56
Let x(u) = -14*u + 17. Let t be x(-6). Let o = 145 + t. Let f = o - 140. Calculate the remainder when f is divided by 22.
18
Let i(p) = p**2 - 12*p + 21. Suppose 24*y - 859 + 187 = 0. Calculate the remainder when i(-10) is divided by y.
17
Let d(k) = 2*k + 16. Let r be d(-6). Let y(b) = -b + 89. Calculate the remainder when y(r) is divided by 22.
19
Let j be (-5 - -9) + (-3 - -3). What is the remainder when 64 is divided by ((-4158)/(-315))/(0 + j/10)?
31
Let x(k) = -8*k**2 + 2*k + 11. Let g be x(4). Let f = 127 + g. What is the remainder when 1 - (-1 - 0) - -67 is divided by f?
15
What is the remainder when (-49 - -49)/((-2)/(-1)) + 33 is divided by 10?
3
What is the remainder when (((-657)/2)/3)/((-36)/(-336)*-14) is divided by 62?
11
Suppose 2*z + 5 = -i + 21, 3*z - 48 = -3*i. Suppose 15*a - i*a - 1 = 0. Calculate the remainder when 24 is divided by (-1 + 53)*a/(-4).
11
Let i(r) = 2*r**2 - 4*r - 3. Let c = -122 + 124. Suppose -4 = c*p + 5*g, 4*p - g = 3*p + 12. What is the remainder when i(4) is divided by p?
5
Let l = 24 + -20. Let b = l + -6. Calculate the remainder when 28 is divided by (-1)/b + (-270)/(-36).
4
Let s(c) = -73*c + 394. Suppose 198 = 2*t - 124. What is the remainder when t is divided by s(5)?
16
Let o(l) = 37*l + 157. Let i = 796 - 509. What is the remainder when i is divided by o(-4)?
8
Let d(t) = t**3 - 14*t**2 - 26*t + 14. Let u be d(11). Let x = -608 - u. What is the remainder when x is divided by 10?
7
Let c(z) = 179*z - 1. Let p = -617 + 635. What is the remainder when c(1) is divided by p?
16
Suppose 0 = 4*m + 22 + 2. Calculate the remainder when (-735)/m*8/20 is divided by 13.
10
Suppose 9124 - 4866 = 102*h - 5942. What is the remainder when 655 is divided by h?
55
Let y = 9 - 9. Suppose -3*c = 2*n - 46, y = 5*n - 7 - 3. Suppose 2*b + 203 = 3*j, -3*j - 3*b + 209 = -2*b. What is the remainder when j is divided by c?
13
Let o(t) = 6 + 4*t - 13*t + 9*t + 3*t + 24. Let s(g) = -g**3 + 5*g**2 - 5*g + 4. Let l be s(4). Calculate the remainder when o(l) is divided by 8.
6
Suppose -4*d - 708 = -8*d + 4*k, -3*d + 2*k = -535. What is the remainder when d is divided by 13?
12
Suppose 2*l - 123 - 15 = 0. Suppose 0 = -5*n - 64*c + l*c + 130, -4*n = 5*c - 68. What is the remainder when 194 is divided by n?
18
Suppose -5734339 - 3622688 = -442*f + 910633. Calculate the remainder when f is divided by 176.
174
Suppose 0 = -1073*d + 1074*d + 2*i - 5, -2*d = -i - 40. Let o(p) = -p**3 - 4*p**2 - 4*p + 4. What is the remainder when o(-5) is divided by d?
15
Let k(y) = 7*y - 7. Suppose 5*i + 10*c - 535 = 5*c, 3*c = -i + 123. What is the remainder when i is divided by k(6)?
29
Suppose -x + 134 = 71*o - 66*o, 4*x - 88 = -4*o. Suppose -2*m + 406 = 5*m. Calculate the remainder when m is divided by o.
2
Let l be (-4)/6 + -2*(-52)/12. Let n be (-36)/16 + 2 - (-274)/l. What is the remainder when 1*28 - (n + -38) is divided by 5?
2
Let t(d) = 4*d**2 + 6*d - 66. Let z be t(-9). Suppose 1294 = 5*c + z. What is the remainder when c is divided by 44?
42
Let r(g) = g**3 + 4*g**2 + 36*g + 1. Calculate the remainder when (-18)/27 + 28/6 is divided by r(0).
0
Suppose 128*x - 39*x - 8010 = 0. What is the remainder when 4766 is divided by x?
86
Suppose -y + 78623 = 3*x, -22527 = -4*x + 3*y + 82269. What is the remainder when x is divided by 26?
23
Suppose -5*a = -141 + 10 - 24. What is the remainder when 184 is divided by a?
29
Let n = -189 - 426. Let r = -541 - n. Calculate the remainder when r is divided by 41.
33
Let k(r) = r**2 + 3*r + 2. Let t be k(-4). Suppose -2*v + 4*h - 20 = -6*v, 0 = -v + 3*h + 17. Let m = v + t. Calculate the remainder when m is divided by 5.
4
Suppose -160*i + 6637 = -36*i - 803. What is the remainder when i is divided by (-4)/((-2 - 0)/8)?
12
Suppose 2*s = -4*c + 3*s + 351, 0 = -3*c + 3*s + 252. What is the remainder when c is divided by (80/(-36))/(155/(-2232))?
25
Let w(q) = -q**2 + 20*q - 16. Let c be w(16). Suppose -c = -o - 7*o. Let t(a) = 2*a**3 - 5*a**2 - 2*a - 5. What is the remainder when t(4) is divided by o?
5
Suppose 4*l - 595 = 2*l - 3*q, -1187 = -4*l - 5*q. Let f = 302 - l. Let d = -24 + 47. Calculate the remainder when d is divided by f.
5
Suppose -39*x = 774 - 6062 + 374. What is the remainder when 6423 is divided by x?
123
Let k = -46 + 129. Let z(t) = -t**2 + 62*t - 908. Calculate the remainder when k is divided by z(25).
15
Let a(p) = -18*p - 27. Let i be (147/14)/(-3) - (-1)/2. Calculate the remainder when 75 is divided by a(i).
21
Suppose 6000 = -9*d + d. Let a = -489 - d. Let m = -91 + a. Calculate the remainder when m is divided by 43.
41
Let z(c) = -25*c - 223. Calculate the remainder when 1296 is divided by z(-11).
48
Suppose 0*m - 2*m = m, -76 = -4*a - 4*m. What is the remainder when 3532 is divided by a?
17
Suppose -110*g + 567096 = 92*g + 149562. Calculate the remainder when g is divided by 686.
9
Let b(s) = -5*s + 20. Let j be b(15). What is the remainder when 59 is divided by j/22*((-3)/1 + 1)?
4
Let a = -85 + 95. Suppose a*q = 14*q - 72. What is the remainder when 124 is divided by q?
16
Let p(d) = 100*d + 353. Calculate the remainder when 435 is divided by p(-3).
11
Suppose -f = 2*i - 38, -3*i + 15*f - 12*f = -39. Calculate the remainder when i is divided by 7.
3
Suppose -4*g + 7*g - 24 = 0. Let j be ((-16)/10)/(g/(-180)). Let z = 54 - j. Calculate the remainder when z is divided by 10.
8
Suppose -85*h + 3345 = 30. Let z(w) = w**3 - 6*w**2 + w + 5. Let s be z(6). Let v = -1 + s. What is the remainder when h is divided by v?
9
Let v = 14614 + -12256. What is the remainder when v is divided by 782?
12
Let m = -4 - -15. What is the remainder when -8 + 7 - 1*-120 is divided by m?
9
Let d(i) = -i**2 + 126*i - 2018. Calculate the remainder when 417 is divided by d(107).
12
What is the remainder when (52094/12)/7 - ((-44)/(-24))/11 is divided by 298?
24
Suppose 10*n - 6681 + 6471 = 0. Calculate the remainder when 266 is divided by n.
14
Suppose -120*b + 1536 = -24*b. What is the remainder when 3247 is divided by b?
15
Let s(a) = 441*a**3 + 7*a**2 - 40*a + 97. What is the remainder when s(3) is divided by 21?
19
Let i = -38 + 172. Let h(a) = -2*a**3 - 18*a**2 + 21*a + 54. Calculate the remainder when i is divided by h(-10).
2
Suppose 6039 = -10*x - 10181. Let z = -1088 - x. Calculate the remainder when z is divided by 108.
102
Let i = -6046 - -6073. What is the remainder when 186 is divided by i?
24
Let s(q) = -101*q - 109*q - 47 - 26*q + q**3 + 33*q**2. What is the remainder when 30/(1 + 2/(-3)) is divided by s(-39)?
28
Suppose 158 = 5*z - 3*f, 4*z + 10*f - 48 - 4 = 0. Let d be (1/2)/((-1)/4). Calculate the remainder when z is divided by d + 19 + -2*1.
13
Let m(s) = s**3 + 6*s**2 + 7*s - 4. Let l be m(-4). Suppose h - 6*h + 470 = l. Calculate the remainder when h is divided by 16.
14
Let j be ((-2040)/153)/((-2)/99). Suppose -41*p = -21*p - j. What is the remainder when 108 is divided by p?
9
Suppose 85*n = 72*n - 24 + 661. Calculate the remainder when 3669 is divided by n.
43
Suppose -2*k - 31*q = -29*q + 2, -4*k - 2*q + 6 = 0. Suppose 0 = -4*w + k*v + 23 - 19, 0 = -4*w + 2*v + 12. What is the remainder when 15 is divided by w?
0
Let x(i) be the second derivative of -i**5/20 - i**3/3 - 2*i**2 - 23*i. Let j(l) = 2*l**2 - 2*l + 7. Calculat