551. Calculate the remainder when t is divided by 55.
42
Let p(j) = 87*j + 69. What is the remainder when p(7) is divided by 6 + 10*(-6)/12 - -61?
58
Suppose 3*i = 5*i - 5*s + 3, 2 = -2*s. Let p = -669 + 660. Calculate the remainder when (-10)/(i - p)*-25 is divided by 14.
8
Let x = -993 + 1741. What is the remainder when x is divided by 187?
0
Suppose 21 = 2*l - 103. Suppose -21 = -4*m + 3*s, -s + 5 = 3*m - 1. Suppose 5*k = 2*q - 23, 4*k - 6*k = -m*q + l. What is the remainder when q is divided by 9?
6
What is the remainder when (-470351)/(-21) + ((-60)/(-18) - 3) is divided by 350?
348
Suppose 0 = -130*g + 129*g + 75. What is the remainder when 380 is divided by g?
5
Suppose -192794 = -314*g - 16326. Calculate the remainder when g is divided by 124.
66
Let q = -430 - -445. Suppose q = 3*h, 2*k + 49 - 537 = 4*h. What is the remainder when k is divided by 86?
82
Suppose -5*z = 4*l - 2795, -2*l + 3*l - 730 = 5*z. Suppose 10*u - 135 = l. Calculate the remainder when u is divided by 25.
9
Suppose 9*y - 1222 = -808. Calculate the remainder when 505 is divided by y.
45
Suppose 674 + 442 = 12*j. What is the remainder when 3995 is divided by j?
89
Suppose 5*p = 3*j - 75, 0 = -92*j + 94*j - 3*p - 51. Calculate the remainder when j is divided by 3.
0
Let w = 46 + -28. Let a = w - 0. Let i(h) = h**2 + 18*h - 316. What is the remainder when i(13) is divided by a?
15
Let p(l) = 16*l**2 + 60*l + 3. What is the remainder when 240 is divided by p(-4)?
12
Suppose 16*v - 22*v = 25*v - 1333. What is the remainder when 364 is divided by v?
20
Let k(p) = -2*p**3 + 28*p**2 - 21*p - 20. What is the remainder when 1934 is divided by k(13)?
44
Suppose 0*l = l - 3. Suppose z - 219 = 3*x, 3*z = -2*z - l*x + 1023. What is the remainder when z is divided by -3 - -3 - (-5 - (-54)/(-6))?
11
Let g(l) = -6*l**3 - 2*l - 8. Let k be g(-3). Suppose 58*q - 42*q - k = 0. What is the remainder when 269 is divided by q?
9
Let v(g) = 1694*g**3 + 2*g**2 + 5*g - 5. Let q be v(1). What is the remainder when 95 is divided by q/34 - (-56)/476?
45
Let y(j) = 36*j**2 - 13*j + 11. Let p(z) = 37*z**2 - 15*z + 11. Let b(w) = -4*p(w) + 5*y(w). What is the remainder when b(3) is divided by 57?
56
Let r(d) = d**3 - 57*d**2 + 35*d - 196. Calculate the remainder when r(57) is divided by 106.
103
Suppose 36*f - 630 = 22*f. Suppose -8*h + 13*h - f = 0. Suppose 4*b - 57 = n, -n = b - 11 - 7. Calculate the remainder when b is divided by h.
6
Suppose -3*i = -5*w - 222, -2*i + 5*w = -7*i + 370. Let r = 11 - -5. What is the remainder when i is divided by r?
10
Let r = -2994 - -2131. Let w = -826 - r. Calculate the remainder when 120 is divided by w.
9
Let n(t) = -29*t - 728. Suppose p + 5 = -3*j + 648, -3*p = -3*j + 639. What is the remainder when j is divided by n(-27)?
49
Suppose 0 = -9*y - 7*y + 8000. Suppose 7*a - y = -13*a. Calculate the remainder when a is divided by 16.
9
Let k = 14 + -11. Suppose -2*x = k*h - 330, -3*x - 197 = -2*h + 23. Calculate the remainder when h is divided by 3*1/(-18)*3*-74.
36
Suppose 0 = i - 5*s - 16 + 1, -4*i = 2*s - 38. What is the remainder when (i/(-30))/((-2)/462) is divided by 8?
5
Let n(s) = -s + 17. Let x = -111 - -133. Suppose -6*a + 70 = x. What is the remainder when n(-6) is divided by a?
7
Let y = 14847 - 14818. Calculate the remainder when 32479 is divided by y.
28
Calculate the remainder when 1 - ((-47142)/679)/(2/14) is divided by 86.
57
Calculate the remainder when 367 is divided by 12/21 + (-6280)/(-280).
22
Suppose -76*d - 148*d + 27*d + 15563 = 0. What is the remainder when 353 is divided by d?
37
Let k = 9018 + -8061. What is the remainder when k is divided by 28?
5
Let p = -10285 - -10520. What is the remainder when 407 is divided by p?
172
Let t(f) = -f**2 + 24*f + 64. Suppose 0 = -14*z + 218 + 132. Suppose -k - 15 = -26. Calculate the remainder when t(z) is divided by k.
6
Suppose 51*k - 19 = 32*k. Suppose r = 4*u + k + 5, 5*r - 105 = 5*u. Calculate the remainder when 98 is divided by r.
20
Suppose 0 = -p + 5*g - 9, -6 = -5*g + 4. Suppose -k - 3*u = 3*k + 26, 3*k + 4*u = -23. What is the remainder when k + 4 + p*26 is divided by 13?
12
Suppose 10*q - 20 - 223 = 167. What is the remainder when 649 is divided by q?
34
Let r(p) = -p**3 + 3*p**2 + 16*p - 8. Let a = -227 + 510. Calculate the remainder when a is divided by r(5).
19
Suppose -2*h = -5 - 1. Calculate the remainder when 72/792*385/5 is divided by h.
1
Suppose 65*s - 2486 = -869 + 4168. Calculate the remainder when 102 is divided by s.
13
Let b = -8 - -11. Suppose -b*g + 219 = 3*v, g + g = 2*v + 154. Let z = 34 + -15. What is the remainder when g is divided by z?
18
Let r = 3896 - 3809. What is the remainder when 2687 is divided by r?
77
Suppose -4*d + 6*v + 4 = 2*v, -39 = -4*d - 3*v. Suppose 2976 - 512 = -44*z. Calculate the remainder when 27 is divided by z/6*d/(-4).
13
Let x be 8 - (-1)/(4/(-28)). Suppose 4*h = x + 43. Calculate the remainder when 94 is divided by h.
6
Suppose -430 = -2*y + 4*k, 3*y + 1170*k - 1166*k = 585. What is the remainder when y is divided by 118?
85
Let l(q) = -3*q**2 + 3*q. Let w be l(-4). Let b = -114 - -150. What is the remainder when b is divided by (-2 + 0)/(12/w)?
6
Calculate the remainder when 100 is divided by (-2 - 22/(-6))*(-2730)/(-350).
9
Suppose 6888 = -5207*v + 5214*v. Calculate the remainder when v is divided by 74.
22
Suppose 13*r - 11954 = -49*r + 19*r. What is the remainder when r is divided by 250?
28
Suppose 8*l = 3*l + 40. Let x = 462246 + -461968. What is the remainder when x is divided by l/(((-2)/5)/(-2))?
38
Let f = -759 - -747. What is the remainder when f/(-9)*(1 + 3367/14) is divided by 66?
58
What is the remainder when 6/(-18) + ((-6)/18)/((-1)/3817) is divided by 5?
2
Let s = -2891 + 3118. What is the remainder when s is divided by 6?
5
Let l = -7236 + 8658. Calculate the remainder when 5692 is divided by l.
4
Let k = 1548 - 1101. Let w = 683 - k. What is the remainder when w is divided by 40?
36
Let c = 101 + -103. Let s(i) = -18*i + 29*i - 14*i - 4 - 7*i**3 - 5*i**2. Calculate the remainder when s(c) is divided by 14.
10
Suppose -5*c = 121 + 14. What is the remainder when 21 is divided by (1 + c)/(6 + -8)?
8
Let p be 2*(27/(-6))/1 - 1. What is the remainder when -2 - (-96 - p)*2/2 is divided by 35?
14
Suppose 35 = 3*z - 4. Let b = z - -3. Suppose 0 = 3*c - 2*g - 11, -5*c - 18*g + 18 = -21*g. Calculate the remainder when b is divided by c.
1
Let y(t) = t**3 + 2*t**2 - 4*t - 3. Let w be y(3). Suppose -36*z = -w*z - 54. What is the remainder when z is divided by 14/4 + 1/2?
1
Let m(q) = -7*q**3 + 2*q**2 + 7*q + 3. Let c be m(-2). Let f = -36 + c. What is the remainder when 110 is divided by f?
8
Let l be (28/6)/1 - (-1)/3. Suppose 0 = -2*c - l*r + 20, -4*r = 3*c - 5*r + 4. Suppose -2*k + c*k + 36 = 0. Calculate the remainder when 65 is divided by k.
11
Suppose 18*g - 30498 = 43960 - 16804. What is the remainder when g is divided by 799?
7
Let f = 496 + -479. Suppose 2*z - 8 = -2. Suppose 5*b - 21 = -2*a, -4*a + z*a = -b. Calculate the remainder when f is divided by a.
2
Suppose 6 = -2*o - 2*y + 6*y, 5*y = 15. Let f be (-15)/(-6) - o/6. What is the remainder when 1*103 - (f - -2) is divided by 34?
31
Let d = 1991 + -1955. Calculate the remainder when 142 is divided by d.
34
Suppose -17053*w + 17046*w + 2870 = 0. Calculate the remainder when w is divided by 9.
5
Suppose -z + 457 = 3*t, -3*z = 3*t - 612 + 165. What is the remainder when 267 is divided by t?
113
Let m = 306 + -299. Suppose 3*b = a, 3*a - 25 = 11*b - m*b. What is the remainder when 16 is divided by a?
1
Let c = -741 + 822. Suppose -28*f + 70 = -23*f. What is the remainder when c is divided by f?
11
Let c(f) = -2 + f - 11 + f. Suppose -11*m + l = -15*m + 20, 0 = 2*m - l - 16. What is the remainder when m is divided by c(9)?
1
Suppose -107*u + 97323 = -34608. Calculate the remainder when u is divided by 65.
63
Let j(c) = 17*c**2 - 10*c - 13. Let m = -436 + 432. Calculate the remainder when j(m) is divided by 30.
29
Let z(x) = 32*x**2 - 14*x + 23. Calculate the remainder when z(6) is divided by 21.
20
Let f(r) = r**3 - r**2 - r + 245. What is the remainder when f(0) is divided by 126?
119
Suppose -3*l = 4*k - 46, k - 19 = -5*l - 16. Calculate the remainder when 858 is divi