 - 1. Let x(u) = -13*u**2 - 7*u + 2. Let y(q) = 118*q**2 + 67*q - 17. Let t(i) = -19*x(i) - 2*y(i). What is the remainder when t(a) is divided by 33?
32
Suppose 6 = -2*o + 5*p, -2*o - 2*p = o - 29. Let d = o - -11. Calculate the remainder when (-3068)/295*(20 - 0)/(-4) is divided by d.
16
Let o(x) = 21*x**2 - 26*x - 646. What is the remainder when o(-12) is divided by 23?
22
Let b be (14*3/(-6))/(2/34). Let a = -115 - b. Suppose -c + 0*c = -3*o - 17, -3*c + o + 43 = 0. What is the remainder when c is divided by a?
2
Suppose -3 = -2*s + 4*s + 5*x, 4*x = -2*s + 2. What is the remainder when s is divided by (-25)/(-10) - 4/(16/(-6))?
3
Let r be (-1584)/40 + 4/(-10) - -3. Let h = -40 - r. Let z(l) = l**2 + 3*l + 16. What is the remainder when 62 is divided by z(h)?
14
Suppose -4*t + 2*c + 342 = 0, 2*t - 86 = -c + 95. Calculate the remainder when 98 is divided by t.
10
Suppose -521*a - t - 258 = -523*a, 4*a + t - 498 = 0. What is the remainder when a is divided by 23?
11
Suppose 5*l + 0*v - 20 = -v, -l + 9*v - 42 = 0. Calculate the remainder when 1598 is divided by l.
2
Suppose g - 2*t = 26, -54*g + 57*g + t - 43 = 0. Calculate the remainder when (1*44 + -1)/1 is divided by g.
11
Let h(n) be the second derivative of 8*n**4/3 + 2*n**3 - 7*n**2 + 2*n + 91. What is the remainder when h(-6) is divided by 89?
87
Let c(o) = 17*o**3 + 3*o - 5. Suppose 0 = -6*p + 11*p - 10. What is the remainder when c(p) is divided by 42?
11
Let l be 6 - (7 + 4) - -5. Let u(t) = 2*t**2 - 9*t + 138. What is the remainder when u(l) is divided by 28?
26
Let o(n) = -n**3 + 22*n**2 + 3*n - 41. Let p = 19 + 3. What is the remainder when 48 is divided by o(p)?
23
Let k(s) be the second derivative of s**5/4 + s**3/3 - s**2 - 7*s - 4. What is the remainder when 32 is divided by k(1)?
2
Suppose -4*q - b - 15 = 0, 4*b + 3 = -9. Let m(u) = u**3 + 3*u**2 - u + 10. What is the remainder when 103 is divided by m(q)?
12
Let u = 36 - 28. Suppose 5*o + 3*k - 340 = o, -u = -2*k. Calculate the remainder when o is divided by 32.
18
Suppose 0 = -3*f + 4*w - 739, 0*f + 5*w = 4*f + 984. Let s(x) = 7*x + 4. Calculate the remainder when (-1)/2*(-5 + f) is divided by s(3).
23
Suppose -5*x = 35*n - 40*n + 80, 3*x = -2*n + 27. What is the remainder when 462 is divided by n?
12
Let c be 260/39*(-18)/(-15). Suppose -c*y + 985 = 305. What is the remainder when y is divided by 22?
19
Let z(x) = 612*x + 6751. Suppose 0*k - 3*k + 390 = 0. What is the remainder when k is divided by z(-11)?
16
Suppose -2*k = -2, -104 = -4*t - 6*k - 26. What is the remainder when 653 is divided by t?
5
Let k = 3713 - 3590. Calculate the remainder when 364 is divided by k.
118
Suppose 0 = -3*m - x - 3*x + 263, -4*x = -m + 45. What is the remainder when 721 is divided by m?
28
Let r(y) = 3*y**2 + 103*y + 71. What is the remainder when r(7) is divided by 10?
9
Suppose -2085 = -27*z + 669. Suppose 0 = -14*c + 20*c - 216. Calculate the remainder when z is divided by c.
30
Suppose 4*q = 5*k + 166 - 38, -132 = -4*q + 4*k. Let z(o) = o**3 + 45*o**2 + 163*o - 27. What is the remainder when q is divided by z(-41)?
9
Calculate the remainder when 14956 is divided by (-32)/(-4) + (-38)/(-2).
25
Suppose -118*j - 66*j + 65*j + 286909 = 0. What is the remainder when j is divided by 105?
101
Let c = 19850 + -19826. Calculate the remainder when 2825 is divided by c.
17
Let d = 262 - 31. Let n(h) = -h**3 + 9*h**2 - 15*h - 31. Let y be n(-5). Let r = 452 - y. Calculate the remainder when d is divided by r.
57
Suppose 3*m = 4*c - 2, 5*c + 6 = 2*m + 12. Suppose 0 = 4*j + 3 + 1. Calculate the remainder when m is divided by j*(-2 - 2)/4.
0
Let t(x) be the first derivative of 2*x + 5/2*x**2 - 6 - 1/4*x**4 - 1/3*x**3. What is the remainder when t(-4) is divided by 18?
12
Suppose -63*k + 69*k + 60 = 0. Let j(b) = -16*b + 43. Calculate the remainder when j(k) is divided by 4.
3
Suppose -2*g = 2*w - 1425 - 1491, -3*g + 2*w = -4399. Calculate the remainder when g is divided by 110.
33
Let i(h) = 46*h + 2351. Calculate the remainder when 100 is divided by i(-50).
49
Suppose -3*h = -5*h - 8*h - 80. Let z(n) = 1 - 2*n + 2*n**2 + 0 + 14*n. Calculate the remainder when z(h) is divided by 17.
16
Let n be (-3 + 13 + -9)/(-1 - -2). Suppose -n = -4*j - 5, l + 3*j = 252. What is the remainder when l is divided by 29?
23
What is the remainder when (-2691370)/(-19915) - (-16)/(-14) is divided by (2/5)/(1/20)?
6
Suppose 4*g = 4*j + 176, 97 = 27*g - 25*g + j. Suppose 0*o - 3 = -o. Let c(i) = 3*i**2 - 2*i + 3. What is the remainder when g is divided by c(o)?
23
Let c(f) be the first derivative of 2*f**3/3 + 3*f**2/2 - 21*f - 16. What is the remainder when 208 is divided by c(-5)?
12
Let a(n) = -n**3 + 4*n**2 + 6*n - 28. Let c be a(-7). Suppose -655 = -6*v - c. Calculate the remainder when v is divided by 18.
13
Let d(l) = -7*l**2 - 21*l + 301. Calculate the remainder when (3 - 0)/(6/118) is divided by d(-8).
17
Let l be -385 + (3 - -4)/7. Let m = -376 - l. Calculate the remainder when 100 is divided by m.
4
Let i = -20 + 22. Suppose 0 = -i*y + 5*y - 90. Suppose 1257 - 1177 = 10*q. What is the remainder when y is divided by q?
6
Suppose -3*j = -v + 19, 0 = 4*v - j + 6*j + 9. Let k(y) = 2*y**3 - 30*y**2 + 5*y - 46. Calculate the remainder when k(15) is divided by 132/21 - v/14.
5
Let c(v) = -8*v + 362. What is the remainder when 262 is divided by c(42)?
2
Suppose -4*k + 2*x + 426 = 0, 2*x - 5 = x. Suppose -5*z + k = -106. Calculate the remainder when z is divided by 9.
7
Suppose 12 = 3*i, 268 = 3*f - 3*i - 185. Calculate the remainder when f is divided by 48.
11
Let d(f) = f**3 - 23*f**2 - 63*f + 1747. Calculate the remainder when d(23) is divided by 100.
98
Let q = 50 - -25. Suppose 0 = 3*o - 5*d + 31, d + 4 + 1 = -5*o. What is the remainder when q is divided by o/(-3)*39 + 0/5?
23
Suppose -703*h - 33062 + 46352 = -38732. Calculate the remainder when h is divided by 30.
14
Let h = -37 - -49. Suppose -4*j + j + 96 = -a, -3*a - 32 = -j. What is the remainder when j is divided by h?
8
Let i = 17339 + -17302. Calculate the remainder when 886 is divided by i.
35
Suppose 127*a - 10712 = 23*a. What is the remainder when 920 is divided by a?
96
Suppose 12 = 3*m, -2*l = -3*l + 2*m - 8. What is the remainder when (8/(-12) - l)/(18/(-297)) is divided by 5?
1
Let v = 7006 + -6910. What is the remainder when 165 is divided by v?
69
Suppose w + 4*j + 408 = 0, -4*w + 8*w + 1672 = 4*j. Let z = 784 + w. What is the remainder when z is divided by 12?
8
Suppose 75 = -3*j + 6*j. Suppose g - 3*x = -x + 14, j = -5*x. Suppose 0 = g*k - 117 - 135. Calculate the remainder when k is divided by 16.
15
Suppose 2*d + r + r - 38 = 0, -5*d = 2*r - 98. Suppose 68*q - 699 = 5285. Calculate the remainder when q is divided by d.
8
Let t(k) = k**2 - 88*k - 428. What is the remainder when 71 is divided by t(-5)?
34
Suppose 3*i - 7 = -4. Let y = 95 - i. Calculate the remainder when y is divided by 25.
19
What is the remainder when (2/3)/((-58)/87) + 6880 is divided by 172?
171
Let m(q) = 2*q**3 - 4*q**2 - 14*q + 6. Calculate the remainder when 1606 is divided by m(4).
10
Suppose -30*i + 20 = -29*i. Let l = i - 36. What is the remainder when (-388)/(-14) - l/56 is divided by 15?
13
Suppose -9 = 3*x - 4*x. Suppose 75 = 6*k - 57. What is the remainder when k is divided by -1 + 15 - (11 - x)?
10
Let n(z) = -3*z**3 + 2*z + 5. Suppose -95*r + 106*r - 759 = 0. What is the remainder when r is divided by n(-2)?
19
Suppose 8*i - 800 = 6*i. Suppose 2*x + 154 = i. Suppose -10*q + 30 = -390. What is the remainder when x is divided by q?
39
Suppose -4*q = -38 + 6. Suppose -2*p - 5*p = 259. Let b = 41 + p. Calculate the remainder when q is divided by b.
0
Let v = 38 + -23. Suppose -7*d = -8*d + 292. Suppose -4*l + 5*l = z - 59, 5*z - d = 2*l. Calculate the remainder when z is divided by v.
13
Suppose 91 = 23*z - 852. Let a(d) = 0 + 0 + 10*d**2 - 4*d + 2. Calculate the remainder when a(3) is divided by z.
39
Suppose -6*d - 22 = 32. Let t(s) = s**3 + 11*s**2 + 23*s + 61. Suppose -5*q = 13 - 38. What is the remainder when t(d) is divided by q?
1
Let c = -2429 - -2443. What is the remainder when 19 is divided by c?
5
Let t(o) = 8*o**2 + 3*o + 3. Let s = 41 + -33. Let f(d) = 2*d - 6. Calculate the remainder when t(-2) is d