 7. Calculate the remainder when w is divided by y.
7
Suppose 0 = 4*g, -18*g + 15*g = -5*i + 95. What is the remainder when 93 is divided by i?
17
Let t(v) = -v**3 + 6*v**2 + 2*v - 10. Let j be t(6). Suppose -j*k = -2*p + 66, -5*p - 3*k + 132 = -p. What is the remainder when p is divided by 9?
6
Suppose -6 = -2*k - 0*k. Suppose k*c = -5*c + 200. Calculate the remainder when c is divided by 9.
7
Let y be ((-13)/(-2))/((-5)/10). Let h = y + 17. Suppose h*z - 42 - 50 = 0. Calculate the remainder when 89 is divided by z.
20
Let j be 6/21 + (-52)/(-14) + -3. Calculate the remainder when 60 is divided by (2 - 1) + (31 - j).
29
Let c(t) = -t**2 - 4*t + 4. Suppose 4*b - 2*b = 54. Let o be 1/3 + (-117)/b. What is the remainder when 10 is divided by c(o)?
2
Suppose -2*l + 3*l + r = 47, -2*r = 3*l - 140. Let f = -17 + l. What is the remainder when f is divided by 12?
5
Let f(x) = -135*x - 180. Calculate the remainder when f(-2) is divided by 17.
5
Suppose 6*z - 12 = -0. Suppose -180 = -3*x + 3*q, z*x = q - 27 + 143. Calculate the remainder when x is divided by 15.
11
Let y(w) = 7*w + 288. Suppose q - 188 = -2*p - 18, -p - 4*q + 99 = 0. What is the remainder when p is divided by y(-38)?
17
Suppose -j + 5*n = -22, -5*j + 5*n = -28 - 2. Suppose 2*z + j*z - 3*m = 54, -4*m + 16 = 2*z. Calculate the remainder when 70 is divided by z.
10
Let r = 22 - -2. Suppose 4*s - r = 5*p + 17, 2*s + 3*p - 15 = 0. Calculate the remainder when s is divided by 5.
4
Let c(r) = -3*r**2 - 33*r + 17. Calculate the remainder when 65 is divided by c(-10).
18
Suppose -2*m + 4*w = -4*m + 28, 0 = -5*m + 4*w. What is the remainder when 1 + (m - 8) - -42 is divided by 21?
18
Let k = 321 - 301. Calculate the remainder when 338 is divided by k.
18
What is the remainder when 75 is divided by ((-14)/7 - -6) + 0?
3
Suppose -1181 - 889 = -46*d. Calculate the remainder when 854 is divided by d.
44
Let l(d) = 1. Let c(g) = 15*g**3 - 2*g. Let v(u) = c(u) + l(u). Calculate the remainder when -3 + ((-6)/2 - -46) is divided by v(1).
12
Suppose 0 = -7*p - 0*p + 329. Suppose b + p = -208. Let c = b - -364. Calculate the remainder when c is divided by 28.
25
Let q(n) = 11*n - 150. What is the remainder when q(16) is divided by 18?
8
Let g(x) = -x**2 + 11*x + 34. Let o be g(14). Calculate the remainder when 78 is divided by (o/5)/(365/125 + -3).
18
What is the remainder when 116 is divided by 1912/40 - 8/(-40)?
20
Let u(y) = -y**3 - 14*y**2 - y - 12. Let a be u(-14). Suppose 3*g + 2*h - 70 = 0, 5*h = -a*g + 4*g - 15. Calculate the remainder when g is divided by 7.
6
Let o be ((-2)/(-6))/((-1)/3). Let j be (0 + o)/((-1)/(-6)). What is the remainder when 50 is divided by 20 - (-1)/(2/j)?
16
Suppose 0 = 3*c + 3*j - 1 - 2, -2*c + 3*j + 22 = 0. Let v = 37165 + -37068. What is the remainder when v is divided by c?
2
Suppose -3*y + 2*y - 4*k = 10, -3*k = 2*y. Let w be (16/(-24))/((-2)/30). Calculate the remainder when y is divided by (8/w)/(6/30).
2
Let z(g) be the third derivative of 2/3*g**3 + 1/2*g**4 + 0 - 1/60*g**5 - g**2 + 0*g. Calculate the remainder when z(7) is divided by 14.
11
Let b(j) = -j**3 + 8*j**2 + 7*j + 11. Let y be b(9). Calculate the remainder when 22 is divided by 0 + 4 - (3 + y).
6
What is the remainder when ((283 + 8)/3)/1 is divided by 5?
2
Let a(g) = 11*g**3 - g**2 + g. Let d = 161 - 160. What is the remainder when 21 is divided by a(d)?
10
Suppose 5110 = 14*b + 1736. Calculate the remainder when b is divided by 49.
45
Let z(f) = -2 - 4 + 2 + 3*f + 0. Suppose -3*g + 4*g - 3 = 0. What is the remainder when z(5) is divided by g?
2
Suppose 49 = 13*t - 16. What is the remainder when t is divided by 5?
0
Suppose 81 = -0*o - o. Let x = o - -87. Let n = 51 + -29. What is the remainder when n is divided by x?
4
Let l(f) = 14*f - 1. Let h be (-2)/((-10)/15) + -2. Calculate the remainder when 38 is divided by l(h).
12
Let m be (16/20)/((0 + 3)/(-60)). Let d(j) = j**3 + 18*j**2 + 31*j + 15. What is the remainder when 121 is divided by d(m)?
28
Let r be ((-5)/2)/(20/(-16)). Suppose -13 = p - 0*z - 4*z, -4*p = -r*z - 4. What is the remainder when 15 is divided by p?
0
Let y = 33 - 31. Let t(v) = 14*v**3 - 2*v**2 + 6*v - 5. What is the remainder when t(y) is divided by (-4)/(-14) + 264/7?
35
Suppose -d + 2*g = -19, 33*d + 10 = 34*d - 5*g. What is the remainder when 42 is divided by d?
17
Suppose b - 3*b = 4. Calculate the remainder when (b + -1)*1 + (-48)/(-2) is divided by 5.
1
Let f(t) = -t**2 + 3*t - 3. Let o be f(8). Let q = 58 + o. What is the remainder when q is divided by 8?
7
Let a be ((-4)/5)/(4/(-120)). Let g = a - 29. Let w(z) = -5*z - 1. Calculate the remainder when 94 is divided by w(g).
22
Let y be 1 + 1/(3/1)*6. What is the remainder when (12/4)/y - -43 is divided by 15?
14
Let l = -9 + 35. Let o(n) = -n**3 - 8*n**2 - 3*n - 6. Let v be o(-8). What is the remainder when l is divided by (v/(-4))/((-1)/2)?
8
Suppose 19*h = 12*h + 406. Calculate the remainder when 106 is divided by h.
48
Suppose -32*m = -26*m - 162. Suppose 2*g - f = 3*g - 104, -5*g + 526 = 3*f. Calculate the remainder when g is divided by m.
26
Let u be 9/18 - (-10)/4. Let f = 4 + u. Let q(s) = s**2 - 5*s - 5. What is the remainder when 35 is divided by q(f)?
8
Suppose 73*k = 65*k + 440. What is the remainder when k is divided by 30?
25
Let f = 470 - 269. Calculate the remainder when f is divided by 71.
59
Let i = -17 + 32. Calculate the remainder when 7917/390 - (-3)/(-10) is divided by i.
5
Let b = -27 - -27. Suppose b = -3*w + 82 - 7. Calculate the remainder when w is divided by 9.
7
Suppose -74*y + 1732 = -784. Calculate the remainder when (-4)/6 + 404/3 is divided by y.
32
Let p(g) = 14*g + 3. Let j be p(15). Let n = -105 + j. Calculate the remainder when n is divided by 37.
34
Let l = 28 + -46. Let z = 56 + l. Suppose 0 = -3*c + 5*c - z. Calculate the remainder when 55 is divided by c.
17
Let v = -17 - -136. Calculate the remainder when v is divided by 10.
9
Suppose 4*n - 3*i = 217, 17*n - 13*n + 5*i = 161. Suppose 327 = 2*c + 45. What is the remainder when c is divided by n?
43
Let r be 2 + -1 - 3 - (-11 + 3). Suppose r = 2*h - 14. What is the remainder when 57 is divided by h?
7
Let x be 1*6*21/42. Suppose -4*i + 16 = 9*y - 11*y, 6 = x*i - 3*y. What is the remainder when i is divided by 6?
0
What is the remainder when 65 is divided by (-8)/((-7)/(-98)*-2)?
9
Calculate the remainder when 6/39 + 12145/65 is divided by 10.
7
Suppose 3*z - 5*g + 6 = 1, 0 = -z - 2*g + 2. Suppose -u = 2*c - 75, 5*u = -z*u - 25. Calculate the remainder when c is divided by 11.
7
Let q = -131 + 134. Suppose 0 = j - v - 199, -q*j - v = -2*v - 589. What is the remainder when j is divided by 22?
19
Let i = 989 - 953. Calculate the remainder when 141 is divided by i.
33
Let p be (14 + -5)*1/3. Suppose 0 = 3*g - 9, 8 = -b - p*g + 7*g. Suppose 312 - 76 = b*l. What is the remainder when l is divided by 30?
29
Suppose a = 4*q + 236, 2*q - 315 = -4*a + 611. Calculate the remainder when a is divided by 18.
16
Suppose f = -2*f - 6. Calculate the remainder when 14 + f + -3 + 3 is divided by 7.
5
Let v = -41 + 45. Suppose v*x = -b + 41, 3*b - 33 = -2*x - 0*b. Calculate the remainder when 13 is divided by x.
4
Let v(d) = 11*d + 2. Let c = 227 + -131. Suppose -5*x - 1 = -c. What is the remainder when v(3) is divided by x?
16
Let i(g) = g**3 + 11*g**2 - 27*g - 10. Let a be i(-13). Suppose -r + 3*r + 2*j - 42 = 0, -r + a*j + 13 = 0. What is the remainder when 112 is divided by r?
17
Suppose 58*u = 55*u + 6. Calculate the remainder when 9 is divided by u.
1
Let f(t) = t**3 + 8*t**2 + 3*t - 6. Suppose 0*c - 4*c - 20 = 0. Let z be f(c). Let x = -32 + z. What is the remainder when x is divided by 12?
10
Let n(w) = -35*w - 403. What is the remainder when 370 is divided by n(-12)?
13
Suppose 0 = 5*f - h - 1692, 219 + 108 = f - 4*h. Suppose -53 = -a + 4*l, -5*a + 5*l = -f + 14. What is the remainder when a is divided by 9?
6
Let q(y) = -y**2 - 13*y + 5. Suppose w = n + 3*n + 8, -4*n + 16 = -3*w. What is the remainder when 66 is divided by q(w)?
15
Suppose 0 = -w + 4. Suppose 3*o + w*y = 35, 2*o - 29 = 2*y - 1. What is the remainder when 47 is divided by o?
8
Suppose 6 = 2*d, 0 = 2*z - 0*z - d - 493. Suppose 4*n = -0*n + z. What is the remainder when n is 