t is divided by 7.
5
Suppose 0 = -2*l - 3*l + 180. Let j = -21 + l. Let p(b) = -b**2 - 11*b - 2. What is the remainder when p(-6) is divided by j?
13
Let d(a) = a - 3. Let n be d(5). What is the remainder when 13 is divided by n - (2 + 15/(-3))?
3
Let y(x) = x**3 - 2*x. Suppose -3*v = v - 36. What is the remainder when v is divided by y(2)?
1
Let i be ((-124)/(-6))/((-7)/21). Let w be i/4*(-1 + -1). Let s = -19 + w. Calculate the remainder when 34 is divided by s.
10
Let w = -9 + 9. Suppose 2*m = -w*m. Let u = m - -3. Calculate the remainder when u is divided by 1.
0
Let q = 117 - 108. What is the remainder when 88/6 + (-2)/(-6) is divided by q?
6
Let p = -27 + 87. Suppose 9*v + 52 = 196. What is the remainder when p is divided by v?
12
Let g = 41 + -16. Calculate the remainder when g is divided by 14.
11
Suppose 5*d - 15 - 46 = -4*t, 2*d + t = 25. What is the remainder when 50 is divided by d?
11
Let f = -17 - -15. What is the remainder when 1*f/6*-3 is divided by 1?
0
Suppose -3*p - 2*u = -0*p - 173, -267 = -5*p + 2*u. Calculate the remainder when p is divided by 19.
17
Suppose 4*r + 5*u - 6 = 0, r - u - 4 = 2. Suppose -r*g - 110 = -6*g. Calculate the remainder when g is divided by 19.
17
Let t = 4 + 23. What is the remainder when 98 is divided by t?
17
Suppose -36 = -p - p. What is the remainder when p is divided by 5?
3
What is the remainder when (-2 - -3)/((-3)/(-117)) is divided by 10?
9
Suppose 3*n - 12 = -6*f + 3*f, -4*f + 3*n + 37 = 0. Suppose -1 - f = -o. Suppose c - 2 - o = 0. Calculate the remainder when 19 is divided by c.
9
Let n(d) be the first derivative of -d**5/60 - d**4/3 - d**3 - 2. Let h(y) be the third derivative of n(y). Calculate the remainder when 9 is divided by h(-6).
1
Calculate the remainder when 34 is divided by (-4)/4 - 1 - -20.
16
Calculate the remainder when 136/28 - 15/(-105) is divided by (-16)/(-6) + 2/(-3).
1
Let o = 175 + 34. What is the remainder when o is divided by 30?
29
Let p(u) = u**3 - u**2 + 2*u - 2. Let a be p(2). Suppose -z - g - 1 = -a, 5*g = 5*z - 15. Calculate the remainder when (23/(-4))/(z/(-16)) is divided by 12.
11
Let d(k) = k**3 + 5*k**2 - 4*k - 7. Calculate the remainder when d(-5) is divided by (-3)/(-18)*2 - 40/(-6).
6
Suppose -2*o - 14 - 14 = -3*s, 4*s - o - 29 = 0. What is the remainder when 9 is divided by s?
3
Let x = 4 + -2. Calculate the remainder when x/9 + 1290/27 is divided by 17.
14
Calculate the remainder when 78 is divided by 3*3/18 - 225/(-10).
9
Let b(a) = -11*a**3 + 2*a + 1. Let f = 6 - 7. Let x be b(f). Suppose 0 = -5*m + x, 3 + 4 = s + m. Calculate the remainder when s is divided by 2.
1
Let s be 15/6*(-6)/(-5). Suppose -s*f + 93 = -0*f. Calculate the remainder when f is divided by 16.
15
Suppose -5*k + 4*n = -54, -5*n + 54 = 4*k + 19. Calculate the remainder when 78 is divided by k.
8
Suppose 0 = -20*y + 16*y + 144. What is the remainder when y is divided by 13?
10
Let n(v) = v**2 - 3*v - 3. Calculate the remainder when n(5) is divided by 5.
2
Let b = -33 + 42. Suppose 6*t = 3*i + 2*t - 29, 4*i + 8 = -4*t. What is the remainder when b is divided by i?
0
Let r = -6 - -10. Suppose -7*t + r*t = 0. Suppose h + 2*h - 51 = t. What is the remainder when h is divided by 9?
8
Let c = 30 - 7. What is the remainder when 64 is divided by c?
18
Let n = 229 + -105. Suppose -4*p + 206 = -2*u, 4*u = 3*p - n - 23. What is the remainder when p is divided by 18?
17
Calculate the remainder when 54 is divided by (1 - 0) + 11/((-22)/(-20)).
10
Let a = 30 + -14. Let j = 4147 + -6223. What is the remainder when j/(-45) + 4/(-30) is divided by a?
14
Let i = 9 + -6. Suppose -4*v - i = -23. Calculate the remainder when 17 is divided by v.
2
Let g(f) = 2*f**2 - 1. Let j be g(1). Calculate the remainder when 23 is divided by (-25)/(-2) - j/(-2).
10
Let m = -33 - -37. Calculate the remainder when 4 is divided by m.
0
Let h(t) = 10*t**3 - 2*t + 1. What is the remainder when h(1) is divided by 4?
1
Let v(d) = 59*d**3 + d**2 - d. What is the remainder when v(1) is divided by 22?
15
Let h(l) = -71*l. Let y be h(1). Let n = 100 + y. Suppose q - 25 = -2*t, 5*t = 4*t + 5*q - 15. What is the remainder when n is divided by t?
9
Suppose -p + 3*b + 13 = 0, -5*p + 10 = 3*b - 1. Let k(j) = 2*j**2 - 4*j - 2. Calculate the remainder when 54 is divided by k(p).
12
Let l(o) = -13*o - 4. What is the remainder when l(-6) is divided by 20?
14
Let g be (-32)/14 - 6/(-21). Calculate the remainder when g/4*-62 + -2 is divided by 16.
13
Let g(y) = -y**3 + 2*y**2 + y + 1. Let h be ((-1)/2)/((-4)/16). What is the remainder when g(h) is divided by 1?
0
Let k be 6*(-4 - 6/(-2)). Let l(x) = -4*x - 7. Calculate the remainder when 31 is divided by l(k).
14
Suppose b - 9 - 23 = 0. Let m be (-18)/45 + (-27)/(-5). Suppose m*f = 2*o - 59, -3*o - f + 0*f = -46. What is the remainder when b is divided by o?
15
Let x = 20 + -17. What is the remainder when 5 is divided by x?
2
Let s(m) = 4*m**2 - 2. Let d(t) = t**3 + 5*t**2 + 4*t - 2. Let i = -2 - 2. Let h be d(i). What is the remainder when s(h) is divided by 8?
6
Let p(v) = v**3 + 7*v**2 + 7*v + 2. Let i be p(-6). Let s = i + 6. What is the remainder when s is divided by 2?
0
Suppose -7*p = -11*p + 764. What is the remainder when p is divided by 48?
47
Let x = 74 - 103. Let d = -4 - x. Calculate the remainder when d is divided by (-1)/(3 + (-28)/9).
7
Let g(z) = 1 - 13*z**2 + 8 - z**3 - 13*z - 3. Calculate the remainder when 34 is divided by g(-12).
16
Let b(d) = 55*d**2 - 2*d - 2. Let q = 35 - 16. What is the remainder when b(-1) is divided by q?
17
Suppose 0 = -10*i + 6*i + 80. Calculate the remainder when 36 is divided by i.
16
What is the remainder when 57 is divided by (-918)/(-45) - (-6)/(-15)?
17
Let f be 0 + 2 + (-22)/(-2). Suppose 0 = n + 2*z - f, z - 1 = 4. Suppose 7*y = 5*y + 14. Calculate the remainder when y is divided by n.
1
Suppose 6*v = 7*v - 16. Calculate the remainder when 30 is divided by v.
14
Let k(g) = -g**3 + 11*g**2 - 12*g + 1. Calculate the remainder when k(8) is divided by 34.
29
Let g = -41 - -59. Calculate the remainder when (3 - 0) + (4 - 454)/(-9) is divided by g.
17
Let j(u) = -7 + 11*u**3 - 2*u**2 + 10*u + 10*u**2 - 12*u**3. What is the remainder when (-15)/12*(-4 - 0) is divided by j(9)?
1
Let v(k) = -k**2 + 7*k - 4. What is the remainder when 30 is divided by v(4)?
6
Suppose 5*m = -4*u - 3, 3*u + 4*m + 6 = u. What is the remainder when 16 is divided by u?
1
Let w(u) = u**2 - 3*u + 3. Suppose 0 = -2*x - 3*k - 9, x = k + 3 + 5. Let i(t) = 7*t. Calculate the remainder when i(1) is divided by w(x).
1
Let l(s) be the first derivative of s**3 + s**2 - 5*s + 4. Let a(i) = 3*i - 3. Calculate the remainder when l(-4) is divided by a(5).
11
Let r(t) = t + 22. Suppose -4*w + 70 + 34 = 0. Suppose -5*u = 2*p - 21, 5*p + 2*u = 2*p + w. What is the remainder when r(0) is divided by p?
6
Suppose -21 = -5*i - 0*s + 3*s, 4 = -2*s. What is the remainder when 19 is divided by i?
1
Suppose 1 = 2*o - w, 0*w - 20 = -4*w. Let f be (0 - -2)/(2/4). Let t = 6 - f. What is the remainder when o is divided by t?
1
Let t(s) = 6*s**2 + s. Let m be t(1). Suppose 6*k = m*k - 44. Calculate the remainder when k is divided by 15.
14
Let w be (-6 - -2)*3/(-6). Calculate the remainder when (2 - 1)*w - -27 is divided by 16.
13
Suppose 5*f - 145 = -55. What is the remainder when f is divided by (-176)/(-18) + (-4)/(-18)?
8
Suppose 5*o - 83 = 2. Calculate the remainder when o is divided by (-14)/(-35) + 192/20.
7
Let t = 10 + -6. What is the remainder when 1*(-4)/(t/(-3)) is divided by 2?
1
Suppose 29 = -v + 147. What is the remainder when v is divided by 24?
22
Let v(j) = j**3 - 7*j**2 + 8*j - 4. Calculate the remainder when v(6) is divided by 6.
2
Let i(s) = 2*s - 5. Calculate the remainder when 6 is divided by i(4).
0
Let b(s) = 14*s**2 + 1. What is the remainder when b(-1) is divided by ((-6)/(-7))/(12/56)?
3
What is the remainder when (-28)/7 - 41*-2 is divided by 20?
18
Suppose -110 = -2*z + 5*z + 2*f, -40 = z + 4*f. Let k(q) = -q**3 + 10*q**2 + 10*q + 16. What is the remainder when 5/((-10)/z)*1 is divided by k(11)?
3
Suppose 3*f = -6, -m - 4*f - 16 = -2*m. Calculate the remainder when m is divided by 6.
2
Let o = 0 - 9. Let u be o/(-6)*10/3. Suppose 2*a - 2 = -4, u*v + a - 34 