he remainder when z is divided by p?
22
Let s(f) = 2*f**2 - f - 4. Let p be s(5). Let h = -34 + p. Suppose -h*w + 9*w - 38 = 0. Calculate the remainder when 92 is divided by w.
16
Suppose -5*g + 4*j = -16, -2*j + 0 = -g + 8. Let z = g - -25. Suppose o + 60*o = 59*o + 98. Calculate the remainder when o is divided by z.
24
Let g = 3483 + -3135. Calculate the remainder when g is divided by 62.
38
Let c = -17 + 43. Let a be -1 + 5*(0 - (-102)/(-2)). Let d = a - -358. Calculate the remainder when d is divided by c.
24
Suppose -2*y = -4*i - 72, 5*i - 23 = -3. Let l = 48 - y. Let b = l + 16. What is the remainder when 59 is divided by b?
19
Suppose 14 + 42 = 2*r. Let k be ((-4)/20)/(3/(-135)*3). Suppose 4*y - 224 = -7*f + k*f, -2*y = 4*f - 216. What is the remainder when f is divided by r?
24
Suppose y + 102 = -2*y. What is the remainder when 95 is divided by (-5 - -2)/((-1)/(y/(-3)))?
27
Let a be (-79 - -4)*(6/(-10) + 1). Suppose 135 = 26*i - 21*i. Calculate the remainder when i is divided by (-204)/a + 4/(-5).
3
Suppose 246*s - 14 = -c + 247*s, -s = c - 6. Let g = 8 - 5. Suppose g*z - c = 50. Calculate the remainder when 58 is divided by z.
18
Let i = 1002 + -985. What is the remainder when 30 is divided by i?
13
Calculate the remainder when 753 is divided by 4/(-10) + 3854/235 + -7.
6
Let t(o) = 22*o**2 - 138*o + 17. What is the remainder when 640 is divided by t(7)?
124
Let u = 51 - 31. Let w(l) = -l**3 + 18*l**2 - 40*l - 37. Let s(n) = 46*n - 123. Let g be s(3). Calculate the remainder when w(g) is divided by u.
18
Suppose -243 = -3*y - 3*h, -20*y - 3*h = -23*y + 201. What is the remainder when 3322 is divided by y?
66
Let q(p) = p**3 - p**2 - 21*p + 19. Calculate the remainder when 681 is divided by q(5).
9
Suppose -3*p + 4*p - 5*d = -20, 3*d = 2*p + 5. Suppose -2*u = 2*l + 70, 3*l + p*u = l - 67. What is the remainder when -1*(0 + 2) + (10 - l) is divided by 10?
4
Suppose 0 = 3*z - 3*v - 141, 4*z - 3*z - 53 = -v. Let s = z - -26. Calculate the remainder when s is divided by 7.
6
Let q = 54 + -6. Suppose 5*h = -20*h + 1175. Suppose 49*n - h*n = q. What is the remainder when n is divided by 13?
11
Suppose -18*s + 17*s = 2*l - 183, 440 = 5*l - s. Calculate the remainder when 246 is divided by l.
68
Suppose -t + 4*t = 153. Let h(q) = q**3 + 13*q**2 + 3*q + 42. Let w be h(-13). What is the remainder when (-72)/(-27) - (-595)/w is divided by t?
48
Suppose -57*b = -53*b - 195*b + 24448. What is the remainder when 379 is divided by b?
123
Let u(v) be the third derivative of -v**5/60 + v**4/3 + 3*v**3/2 + 23*v**2. Let a be u(15). Let h = a + 181. Calculate the remainder when h is divided by 22.
19
Let f = 0 + -38. Let z = f - -78. Let r = 47 - z. What is the remainder when 13 is divided by r?
6
Suppose 4*x - 2*j + 7*j = -4, 3*x = j + 16. Suppose 46 = -k + 6*k - x*q, 0 = -5*k + 5*q + 50. Calculate the remainder when (0 - 6/(-5))/(k/40) is divided by 8.
0
Let d = 299 + -320. Let n(a) = -5*a - 70. What is the remainder when 68 is divided by n(d)?
33
Let h(m) = m**2 + 56*m + 33. What is the remainder when h(-62) is divided by 11?
9
Let f = 105 + -73. Suppose -4*q = -5*c - 43 - 215, 120 = 2*q - c. What is the remainder when q is divided by f?
25
Suppose 0 = -2*u + 3*o - 13 + 123, 0 = -4*u + 4*o + 220. What is the remainder when 877 is divided by u?
52
Let g = -1 + 5. What is the remainder when (-91)/(-56)*22 + 1/g is divided by 19?
17
Let b = -132 - -116. What is the remainder when (-774)/(-42) + b/(-28) is divided by (-53)/(-6) - -1*5/30?
1
Suppose 273579 = 20*n - 392441. Calculate the remainder when n is divided by 46.
43
Suppose -2*g + 5 = -3. Suppose 0*q + 3*q = -5*z + 115, -2*q + 94 = g*z. Let r = -2705 + 2712. Calculate the remainder when z is divided by r.
5
Let h(d) = -10*d**2 - 200*d + 27. Calculate the remainder when 366 is divided by h(-20).
15
Suppose -65*r = -92*r + 5510 + 1969. Calculate the remainder when r is divided by 37.
18
Let a = -563 + 597. Suppose 42*y = a*y + 328. What is the remainder when y is divided by 14?
13
Suppose 3*h + 210 = 3*t, 5*h - 316 = -2*t - 2*t. Let v(b) = 28*b + 129. Let z be v(-4). Calculate the remainder when t is divided by 1*z - (-53 + 55).
14
Suppose -10*p + 25*p - 555 = 0. Suppose -5*y = -18 - p. What is the remainder when -108*(-1 - (-5)/10) is divided by y?
10
Let r(q) = q**2 - 6*q - 87. Calculate the remainder when r(-16) is divided by 7.
6
Let h(r) = r**3 + 43*r**2 - 43*r + 74. What is the remainder when h(-44) is divided by 23?
7
Let c(p) = 9*p**2 + p - 9. Let t be c(4). Let y = -138 + t. What is the remainder when 60 is divided by 7 - 6 - 1*(-10)/y?
5
Suppose 0 = 25*d - 6445 + 4020. Calculate the remainder when 15711 is divided by d.
94
Suppose 0 = -6*s - 135 + 585. Let r be 464/(-14) - 3/(-21). Let y = r + 59. What is the remainder when s is divided by y?
23
Let y(w) = 23*w**2 + 2*w. Let g be y(-4). Let z = -203 + g. Calculate the remainder when z is divided by 54.
49
Let w(c) = c**2 + 12*c + 1. Let r be w(-11). Let j = r + 14. Suppose -2*d + 126 = j*k, 3*d = -2*d + 15. Calculate the remainder when k is divided by 11.
8
Suppose -7*x + 12400 = 18*x. Suppose 8*t + 104 = x. What is the remainder when t is divided by 12?
1
Let l(i) = -30 - 7*i**3 + 9*i - 28*i + 22*i**2 + 6*i**3. Calculate the remainder when 298 is divided by l(21).
10
Let n(r) = r**2 + r - 1. Let d be ((-22)/6)/((-2 - -5)/(-27)). Let y be 4/8 + d/(-6). What is the remainder when 69 is divided by n(y)?
12
Let t(g) = -9*g**2 + 486*g - 101. Calculate the remainder when t(52) is divided by 207.
7
What is the remainder when 624 is divided by 8*57*(-5)/(-120)?
16
Suppose 10*c + 2*n + 86 = 16*c, 5*c - 5*n - 75 = 0. What is the remainder when 754 is divided by c?
12
Let y = 134 - 85. Let g = 52 - y. Suppose j - 4*h = -0*j + 24, 0 = g*h + 3. What is the remainder when 59 is divided by j?
19
Suppose 65*u - 69*u = -2*p + 16, -4*p + 20 = 4*u. Suppose -66 = -p*v + 78. Calculate the remainder when 41 is divided by v.
17
Let r = -250 + 324. Let s be 5 - 3*(-3 + 4). Suppose 0 = -3*a - 5*c + 43, -s = -a + 4*c + 1. What is the remainder when r is divided by a?
8
What is the remainder when 630 is divided by (-176)/6*30/4*6/(-8)?
135
Suppose 3*f = -4*q + 23, 0 = 5*f - 23*q + 21*q - 47. Suppose -f*g + 2386 = -179. Calculate the remainder when g is divided by 92.
9
Let a be (-6)/(-27)*-57*(4 + 8). What is the remainder when 111 is divided by ((-159)/(-212))/((-3)/a)?
35
Let m be (-1 - (-2)/8)/((-81)/972). Calculate the remainder when (30/m)/((-4)/(-258)) is divided by 27.
26
Suppose 2*f + 2*f - 282 = -3*i, -291 = -3*i - f. Suppose 88 = -3*p + 5*m, 2*p = 7*p + 2*m + 95. Let w = p + i. Calculate the remainder when w is divided by 39.
38
Let f = 744 + -741. Suppose -f*p - 3*q + 15 = 0, 9 = 4*p + q + 1. What is the remainder when 4 is divided by p?
0
Suppose 32*l - 6568 = 3373 + 3819. What is the remainder when l is divided by 148?
134
Suppose -755*f - 306 = -761*f. Let x(z) = 204*z - 1. What is the remainder when x(1) is divided by f?
50
Let z be 2/(-8)*3 + (-711)/(-948). Let q(i) = i**3 - 10*i**2 + 2*i - 13. Let k be q(10). Suppose 70 = k*r - z*r. What is the remainder when 27 is divided by r?
7
Let u(j) be the first derivative of 15*j**2/2 + 16*j + 104. What is the remainder when u(2) is divided by ((-16)/6)/(1/(-3))?
6
Let d(h) = h**3 + 5*h**2 + 2*h. Let g(y) be the third derivative of y**4/3 + 28*y**3/3 - 20*y**2. Calculate the remainder when d(-3) is divided by g(-6).
4
Let g = 93 - 89. Suppose 0*o + 2*o + 3*f = 26, -f = g*o - 52. Calculate the remainder when 32 is divided by o.
6
Suppose 3*q + 25 = 4*q - r, 0 = -4*q - 4*r + 68. Let u = -42 - -45. Let v(s) = -2*s**3 + 6*s**2 + 4*s - 6. Calculate the remainder when q is divided by v(u).
3
Let z = 38 + -37. Let x be 10*z/((-10)/(-4)). Suppose 68 = x*h - 52. Calculate the remainder when 119 is divided by h.
29
Suppose 0 = 5*h + 26*n - 28*n - 179, -h + 4*n + 79 = 0. What is the remainder when 183/6*(5 - -1) is divided by h?
28
Let u = 6 + -3. Suppose -u*f + 6*f + 1104 = -3*x, 4*f - x = -1447. What is the remainder when (2*(-1)/3)/(22/f) is divided by 5?
1
Suppose 4*x = 6*x - x. Suppose 3*p + x*p = 483. Suppose -6*w = w - p. Calculate the remainder when 43 is divided by w.
20
Let x(u) = 6 + 1 - 33 - 31*u. Calcu