4. Calculate the remainder when n is divided by 11.
10
Let n(r) = 9*r**2 + 11*r - 27. What is the remainder when n(5) is divided by 52?
45
Let t(d) = d**2 - 14*d - 9. Let k be t(12). Suppose -5*y = -5*z + 36 + 259, -2*y - 118 = 3*z. Let f = k - y. Calculate the remainder when f is divided by 7.
5
Let m(r) = -15*r - 23. What is the remainder when 100 is divided by m(-4)?
26
Suppose 0 = 767*w - 763*w - 92. Calculate the remainder when 43 is divided by w.
20
Let s = 45 - 25. Calculate the remainder when (-1 - -46)*(-16)/(-20) is divided by s.
16
Suppose -4*v + 8 = 2*m, -5*v + 24 = -0*m - m. Suppose g - 4*g + 45 = 0. Let p = g + -9. What is the remainder when p is divided by v?
2
Let x be (-4 + (1 - -3))/(2 - 0). Suppose 5*z + 4*f - 205 = x, -3*f - 21 - 1 = -z. Calculate the remainder when 183 is divided by z.
35
Let v = 712 + -541. Calculate the remainder when 175 is divided by v.
4
Suppose 2*k = 5*s - 125, 60 = 5*s - 3*k - 65. Suppose s = 2*x + 15. Suppose 2*l - 2 = l. What is the remainder when x is divided by l?
1
Let v = -12 + 21. Calculate the remainder when 60/18*v/2 is divided by 9.
6
Suppose -11*o - 87 + 714 = 0. Suppose -o = -x + 207. Calculate the remainder when x is divided by 38.
36
Let q(a) = 14*a - 3. Suppose -3*t + 3*c = -7*t + 65, c + 25 = 2*t. Let v be 46/t + 10/(-35). What is the remainder when q(v) is divided by 20?
19
Let q(g) = g**2 - 10*g - 24. Let f(y) = y**3 + 8*y**2 + 9*y - 5. Let x be f(-6). Calculate the remainder when 55 is divided by q(x).
10
Let a be (-2 - (-9)/3 - -1) + 4. Suppose 3*s - q - 33 = 0, 5*s - a*q - 55 = -q. Calculate the remainder when 65 is divided by s.
10
Suppose -3*z = 2*z - 25. Suppose 2*w - 15 - 7 = -2*h, -4*w + 4 = 0. Calculate the remainder when h is divided by z.
0
Let x = 17 - -5. Suppose -u + 16 + x = 0. What is the remainder when u is divided by 20?
18
Let c(b) = b**3 + 2*b**2 - 3*b + 2. Let o be c(-3). Suppose -o*s + g - 2*g = -32, 0 = 3*s + 5*g - 41. Calculate the remainder when 6*4*(6 + -4) is divided by s.
14
Suppose 3*i - 1092 = -3*o, o + 6*i - 368 = 4*i. What is the remainder when o is divided by 121?
118
Let m(w) = -4*w**3 + 29*w - 20*w**2 - 25 + 3*w**3 - 31*w. What is the remainder when 57 is divided by m(-20)?
12
Suppose -2*d - 4*n + 94 = 0, -2*d + 214 = 2*d - 5*n. Calculate the remainder when 358 is divided by d.
1
Suppose 2*m - m - 5 = 0. Calculate the remainder when (10/15*-2)/((-4)/54) is divided by m.
3
Let s = 21 + -25. Let o = 22 - 16. What is the remainder when o is divided by s/(-14) + 48/28?
0
Let w be 15056/44 + 8/(-44). Suppose 26*s - w = 8*s. Suppose -17 = 4*k - 61. What is the remainder when s is divided by k?
8
Let h(x) = -18*x + 30. Calculate the remainder when h(-2) is divided by 28.
10
Let q(g) = 2*g**3 + 3*g**2 + 5*g - 2. Let a be (4 + 1)*6/10. Let r be q(a). Let n = -65 + r. Calculate the remainder when n is divided by 16.
13
Let n = 155 + -115. Let f = 88 - n. Calculate the remainder when f is divided by 10.
8
Let a = 528 - 488. Calculate the remainder when 234 is divided by a.
34
Let o = 4 - 23. Calculate the remainder when 26 is divided by (-2 - o) + (1 - 4).
12
Suppose -28*i = 4*i - 11360. What is the remainder when i is divided by 45?
40
Let b be (-15)/(-10)*(-14)/(-3). Suppose b*h - 3 = 6*h + f, 3*h = -f + 21. What is the remainder when 16 is divided by h?
4
Let v(w) = 2*w**3 - 3*w**2 - w + 3. Let a be v(3). Let d = a + -18. What is the remainder when 35 is divided by d?
8
Let w = 554 - 380. Calculate the remainder when w is divided by 10*(105/6)/5.
34
Let a = 61 - 35. Calculate the remainder when (-730)/20*-5*(-4)/(-10) is divided by a.
21
Let f(z) = -2*z**2 + 14*z + 11. Let k be f(9). Calculate the remainder when 35 is divided by (-52 - k)/((-6)/4).
17
Suppose 0*b - b = 0. Suppose b*i - 4*i + 520 = 0. What is the remainder when i is divided by 44?
42
Let j = -6 + -2. Let q be (j/28)/(2/(-14)). What is the remainder when (1/(-3))/(q/(-42)) is divided by 4?
3
Suppose -17*f = -14*f - 12. Suppose -2*p = -4*q - 18, -f = q - 1. Calculate the remainder when p is divided by 3.
0
Suppose -4*d - i = -169, 12*d - 143 = 9*d - 4*i. What is the remainder when 50 is divided by d?
9
Suppose 2329 = 9*j - 794. What is the remainder when j is divided by 12?
11
Let j(r) = 9*r**2 - r + 1. Suppose -5*t + 110 = -0*t. Suppose -3*f + 56 + t = 0. What is the remainder when f is divided by j(1)?
8
Suppose 0 = -6*k + 4*k - 64. Let j = 17 - 32. Let v = j - k. Calculate the remainder when v is divided by 6.
5
Suppose 3 = g + 5. Let f(d) = -d**3 + 7*d**2 + 5. Calculate the remainder when f(7) is divided by g*1/1 - -6.
1
Let q(s) = -s**2 + 3*s + 2. Let x be q(3). Suppose -x*o - 88 = 4*l, -3*l - o - 23 = -2*l. Let u = l - -30. What is the remainder when 35 is divided by u?
8
Suppose 0 = 88*y - 79*y - 5094. What is the remainder when y is divided by 21?
20
Let c be -1 - -4 - 2/2. Suppose -3*f = 5*z + 3, 0*z + z - 2*f - 2 = 0. Suppose z*w + t = c*w - 15, 18 = w - 4*t. Calculate the remainder when w is divided by 4.
2
Suppose 3*x = -5*c - 2, 0*x = 2*x + 4*c + 4. Let r(l) = -l**2 + 7*l - 5. Let q be r(x). Let d = 6 - q. What is the remainder when d is divided by 2?
1
What is the remainder when 860/8 - 20/(-40) is divided by 23?
16
Suppose -5*y + 148 - 61 = -v, 3*y - 3*v - 57 = 0. What is the remainder when 303 is divided by y?
14
Let l(z) = 6*z**3 + 1. Let s be l(1). Suppose t + 2*y - 13 - s = 0, 5*t - y = 45. Let b = -80 + 117. Calculate the remainder when b is divided by t.
7
Suppose 0 = 95*a - 56*a - 780. Calculate the remainder when 438 is divided by a.
18
Let u = 306 - 299. Calculate the remainder when 573 is divided by u.
6
Suppose -4*y = 5 + 15, 3*y + 33 = 3*g. Suppose -g*i = u - 2*i - 98, -431 = -4*u - 3*i. What is the remainder when u is divided by 23?
18
Suppose -d = -3*f + 6, -5*f + 6 = -4*d + d. Calculate the remainder when f is divided by 65/52 + (-1)/4.
0
Suppose -16 = -4*r, -3*a + 4*r = r - 39. Calculate the remainder when 77 is divided by a.
9
Calculate the remainder when (-7874)/(-14) + 284/497 is divided by 38.
31
Let r(m) = 3*m**3 - 4*m**2 + 3*m + 7. Calculate the remainder when r(5) is divided by 60.
57
Let w be 27/(-6)*(-4)/(-6). Let h = 40 + w. What is the remainder when h is divided by 8?
5
Suppose -2*d = -5*s - 42, -5*d - 37 = -4*s - 108. Let t(i) = i + 4*i**2 + 17 - d - 4. Calculate the remainder when 59 is divided by t(2).
19
Let p(t) = 10*t + 12. Let g = 50 + -35. What is the remainder when p(6) is divided by g?
12
Let t = -1030 - -1065. Let l = -2 + 6. What is the remainder when t is divided by l?
3
Let x = 13 - -118. Suppose -x = -4*l + 157. What is the remainder when l is divided by 25?
22
Suppose 9*g = 6*g - 42. Let p = g + 36. What is the remainder when p is divided by 6?
4
Let f = 445 - 168. What is the remainder when f is divided by 85?
22
Suppose 4 = 2*w - 4*w. What is the remainder when 62 is divided by 17*(w - 6/(-2))?
11
Suppose 5*g - 140 = -5*i, 3*i + 0 - 54 = 3*g. What is the remainder when 45 is divided by i?
22
Let u be (-10)/4 - (-30)/(-20). Calculate the remainder when 21 is divided by 6 - 2 - u/1.
5
Calculate the remainder when 303 is divided by ((-20)/6 - -3)/(1/(-93)).
24
What is the remainder when -102*(-2)/2*1 is divided by 1 + (-5)/3*-15?
24
Suppose -2*u = 4*y - u - 95, 4*y + 5*u = 91. What is the remainder when y is divided by (-3)/((-104)/24 - -4)?
6
Let y be (-15)/(-6)*-4 - 1. Let t = -8 - y. Suppose f = -3*x + 30, -3*f = t*x - 5*f - 21. What is the remainder when 15 is divided by x?
6
Suppose -6*h + 330 = -h. Suppose 4*o = 2*o + h. Calculate the remainder when 61 is divided by o.
28
Suppose -5*g + 86 = -2*q, 5*g - q - 79 = 4. Let o = -8 - -19. Suppose -2*s + o + 7 = 0. What is the remainder when g is divided by s?
7
Let c(u) = -u**3 + 5*u**2 - 6*u + 2. Let w be c(3). Let f(b) = 7 + 9 - 2*b + w*b + b. Calculate the remainder when 6 is divided by f(-13).
0
Suppose 6*x - 265 = x. Let a(t) = 7*t + 1. Let j be a(10). What is the remainder when x is divided by 8/32 + j/4?
17
Let f(w) = w**2 + 2*w - 1 + 0 + 0*w**2. Suppose -4*m = 3*o - 0*m - 29, -3*o + m + 34 = 0. Calculate the remainder when o is divided by f(2).
4
Let y be (1/4)/(4/48). Let f be 9*(27 - y)/(-3). Let g = -42 - f. What is the remainder when g is divided by 17?
13
What is the