1.
29
Let u(z) = -z**3 - z**2 + 62*z - 21. Suppose -o - 612 = -5*m - 193, 0 = -4*m - 3*o + 320. Calculate the remainder when m is divided by u(7).
20
Suppose -95*c + 9758 = -13*c. Suppose -5*p - 316 = -1096. Suppose -5*u + 2*m = -10*u + p, -3*u - 3*m + 99 = 0. What is the remainder when c is divided by u?
29
Suppose -5*q + 8*w + 425 = 3*w, -5*q - 5*w + 435 = 0. Let f = -33 + q. What is the remainder when f is divided by 28/(-238) - 189/(-17)?
9
Suppose 4*r + 483 = -261. Let s = r + 322. Suppose 759 = 38*y - 5*y. Calculate the remainder when s is divided by y.
21
Let y be ((-282)/18 - -15)/((-2)/12). Suppose -y*w + 56 = -4. Suppose -i - 1107 = -5*n, -15 = -5*i - 0*i. What is the remainder when n is divided by w?
12
Let m(r) = 251*r - 2177. Calculate the remainder when 10085 is divided by m(9).
81
Let z(a) = 10*a + 20. Let g be z(19). Let d = g + 5. Let q = 345 - d. What is the remainder when q is divided by 22?
20
Suppose -26*q = -24 - 80. Suppose q*h - 5*n = 97, 2*h - 57 - 8 = -3*n. Calculate the remainder when 55 is divided by h.
27
Let u be -5*1 + 32 + -75. Let y = 69 + u. Calculate the remainder when 125 is divided by y.
20
Suppose -5*l - 330 = -10*l. Let o = l - 12. Suppose 2*z + 0*z - o = -4*p, -2*z = 2*p - 22. Calculate the remainder when p is divided by 9.
7
Let m(w) = 83*w + 85. Let v be m(3). Calculate the remainder when 137 is divided by 26/156 + v/12.
25
Suppose -38*m - 852 = -50*m. What is the remainder when 414 is divided by m?
59
Suppose 0*j = 5*j - 10, -2*j - 116 = 3*f. Let o = 169 + -87. Let i = f + o. Calculate the remainder when 164 is divided by i.
38
Let d = 8922 - 8045. What is the remainder when d is divided by 81?
67
Let z = -14 - -45. Let x = z - 28. Suppose x*g = 2*g + 16. Calculate the remainder when 92 is divided by g.
12
Suppose -z + p + 139 = 0, 3*p - 611 = z - 754. What is the remainder when 773 is divided by z?
88
Let d(f) = -3*f + 51. Let s(y) = y**3 - 17*y**2 - 83*y - 14. Let j be s(21). What is the remainder when 179 is divided by d(j)?
29
Let h(g) = -5*g + 81. Calculate the remainder when 327 is divided by h(4).
22
Suppose 4*h = 3*r + 155, h + r - 29 = 8. Let d = 1 + 7. Let x = h - d. Calculate the remainder when x is divided by 11.
8
Suppose 10*a - 534 = 106. Suppose -17*d + 24*d - 168 = 0. Calculate the remainder when a is divided by d.
16
Suppose -5*k = -4*i + 31, -4*i - 6 + 31 = -3*k. Suppose 0 = -i*n + 3*t + 39, -n + 3 + 4 = 2*t. Calculate the remainder when 22 is divided by n.
4
Let z(g) = 67*g - 987. Calculate the remainder when z(16) is divided by 82.
3
Suppose -53*o + 2*v - 105 = -56*o, o - 35 = -2*v. What is the remainder when 1202 is divided by o?
12
Let n = -3356 - -3464. What is the remainder when 138 is divided by n?
30
Let k be 1/4 + 935/68 + 1. Suppose -125 = -k*u + 10. Calculate the remainder when (-62)/8*8/(-2) is divided by u.
4
Suppose -54*o + 62604 = -57932 + 4706. Calculate the remainder when o is divided by 535.
5
Let w(n) = 5*n - 15. Let m be (-546)/(-56) - 2/(-8). Let c = -1748 - -1756. Calculate the remainder when w(m) is divided by c.
3
Suppose -47 = 255*j - 261*j + 805. Calculate the remainder when j is divided by 8.
6
Let q = 33599 - 33519. Calculate the remainder when 3357 is divided by q.
77
Suppose -4*n + n + 8*n = 0. Suppose y + 11 = 2*y + 2*d, -2*y + 3*d = -15. Calculate the remainder when n + 0 - (12 + -42) is divided by y.
3
Suppose -1426 = 4484*k - 4546*k. What is the remainder when 917 is divided by k?
20
Suppose 0 = 41*r - 47 - 775 - 39. Calculate the remainder when 5711 is divided by r.
20
Suppose 2*u = -2*l + 622, 9*u - 6*u - 947 = -5*l. What is the remainder when u is divided by 6?
4
Let a = 3685 + -2423. What is the remainder when a is divided by 627?
8
Suppose -7 = 3*z - 16. Let i be 1*(1 - 4)*2/z. Calculate the remainder when i/(-1*6/87) is divided by 8.
5
Let l = -435 - -485. Suppose 2*a = o + l - 257, -4*o + 2*a + 822 = 0. Calculate the remainder when o is divided by 106.
99
Let c = -10795 + 11319. Calculate the remainder when c is divided by 517.
7
Let d = -298 - -620. Calculate the remainder when d is divided by 163.
159
Let p(v) = 2*v**3 - 43*v**2 - 48*v + 613. Calculate the remainder when 684 is divided by p(22).
28
Let u = 966 + -1651. Let k = -666 - u. What is the remainder when 116 is divided by k?
2
What is the remainder when 11/((-33)/(-2094)) + 21/7 is divided by 136?
21
Suppose -r + 85 = 4*b, -3*b - 2*b + 110 = 2*r. Let d(l) = l**2 + 20*l - 40. Let t be d(-24). Let m = t - 43. Calculate the remainder when b is divided by m.
7
Suppose 7*y - 2*y + 4*d - 124 = 0, 0 = -2*y - 4*d + 40. Calculate the remainder when y is divided by (3/18*(-1836)/24)/(6/(-8)).
11
Let v(y) = -5*y**3 - 76*y**2 - 28*y - 2. What is the remainder when 840 is divided by v(-15)?
68
Suppose 176*h - 7*h = 6591. Calculate the remainder when 13568 is divided by h.
35
Let s(y) = -187*y + 100. Calculate the remainder when s(-5) is divided by 8.
3
Let j(b) = 72*b + 1384. Calculate the remainder when 20 is divided by j(-19).
4
Let i(t) = -t**2 + 56*t - 444. What is the remainder when 1018 is divided by i(45)?
49
Let z(y) = y**2 + 56*y - 369. Calculate the remainder when z(23) is divided by 20.
8
Suppose -6*i = -i - 25. Let p(a) = -213*a + 27700. Calculate the remainder when p(130) is divided by i.
0
Let r = 5317 - 5202. What is the remainder when r is divided by 82?
33
Suppose 36*s - 5*q + 170 = 41*s, -4*s + 2*q = -136. Calculate the remainder when 86 is divided by s.
18
Suppose -4*y - 4*g + 0*g = -12, -2*y = -4*g + 6. Calculate the remainder when ((138/y)/(-3))/(-2) is divided by 5*2*2/4.
3
Suppose 5*v + 33 = 3*x, 3*v = 7*x - 2*x - 71. Calculate the remainder when 23 is divided by 4*(-12)/(-32)*x/12.
1
Let l(x) = 183*x + 845. What is the remainder when l(8) is divided by 21?
20
Let g = 14673 - 14594. Calculate the remainder when 486 is divided by g.
12
Suppose 0 = -3*c + 3*n + 17280, -17248 = -3*c - 771*n + 766*n. What is the remainder when c is divided by 240?
236
Suppose 171*b + 62*b - 10109 = 8531. Calculate the remainder when 249 is divided by b.
9
Suppose -12*p + 19*p = 42. Let w be 0 + 1 - (-9)/(-3). What is the remainder when 78 is divided by (w/5)/((-3594)/(-600) - p)?
38
Suppose -11*l = -4*l - 28. Let p(j) = 10*j - 734. What is the remainder when p(76) is divided by l?
2
Suppose 3*m + 27 = 3*w, 10*w - 45 = 5*w - m. Let s(d) = -d**3 + 8*d**2 + 10*d. What is the remainder when 44 is divided by s(w)?
8
Suppose 4*x + 115 - 287 = 0. Suppose 1163 = 4*d - 18*y + 13*y, -5*d = y - 1490. What is the remainder when d is divided by x?
39
Suppose -2*b - 14 + 8 = 0, 3*b = -3*c + 15. Suppose 9*z - c*z - 4*l = 728, 2*z - 3*l = 1436. What is the remainder when z is divided by 42?
40
Let l = 58041 + -34660. What is the remainder when l is divided by 54?
53
Suppose -4*q + 67 + 17 = 0. Calculate the remainder when q is divided by 15*5/(-100)*4/(-6)*26.
8
Suppose 0 = -6*d + 5*d + 9. Let r = 22745 + -22732. Calculate the remainder when (-8)/36 + 326/d is divided by r.
10
Let a(p) = -p - 13. Let w be a(-27). Suppose -168 = w*s - 1316. What is the remainder when s is divided by 21?
19
Suppose -20*m - 7*m + 266 + 220 = 0. Calculate the remainder when 2315 is divided by m.
11
Suppose -14*r - 155 = -9*r - 10*r. Calculate the remainder when r is divided by 11.
9
Suppose -2*l + 8808 = 14*a - 10*a, -2*a - 11*l = -4444. Calculate the remainder when a is divided by 729.
13
Calculate the remainder when 1558 is divided by 2/((-6)/33 - (-1575)/7150).
50
Suppose 2*o + 0 = 2. What is the remainder when (-3)/((-75)/(-35))*(3 + 0 - 13) is divided by o?
0
Let y(k) = -k**3 + 69*k**2 + 693*k - 37. What is the remainder when 360 is divided by y(-9)?
8
Let v = -49 - -79. Suppose 31*n - 30 = 34*n. What is the remainder when (-1184)/n - (252/30 + -8) is divided by v?
28
Let h(j) = j - 2. Let m(p) = -p + 50. Let k(s) = 4*h(s) + m(s). What is the remainder when k(-8) is divided by 5?
3
Suppose -20 = 2*p + 4*k, 3*k = 3*p + 2*k + 23. Let a be (-5 - 23)*12/p. Suppose 20 + a = 2*h. Calculate the remainder when 89 is divided by h.
27
Let j(q) be the third derivative of -5*q**4/24 - 2*q**3 + 283*q**2. Calculate the remainder when 70 is divided by j(-7).
1
Suppose -12*s + 8*s = -192. Suppose 9*d = 12*d - s. Suppose -43 + d = -3*p.