
3
Suppose 0*h - 270 = -5*h. Suppose 0 = 12*k - 18*k + h. What is the remainder when 26 is divided by k?
8
Let r = -231 + 268. What is the remainder when r is divided by 13?
11
Suppose -4*g + b = 4*b + 8, 3*g + 5*b + 17 = 0. Calculate the remainder when ((-980)/(-15))/g - (-2)/3 is divided by 23.
20
Let d = -592 + 737. What is the remainder when d is divided by 30?
25
Let k = 132 + -91. What is the remainder when 204 is divided by k?
40
Suppose -900 = -7*l - 179. What is the remainder when 111 is divided by l?
8
Suppose 2*u + 1 - 102 = -a, u - 46 = 4*a. Let d(f) = 2*f**3 - 4*f**2 + 2*f - 3. What is the remainder when u is divided by d(3)?
8
Suppose -3*h + 120 = 3*d, -3*d - 2*d - 3*h + 194 = 0. Let c be (-1)/(-4) + d/(-4). Let q = 10 + c. Calculate the remainder when 3 is divided by q.
0
Suppose 9*g - d + 1185 = 13*g, d - 888 = -3*g. Calculate the remainder when g is divided by 12.
9
Let m(o) = -21*o - 1. What is the remainder when (-594)/15*((-10)/4)/1 is divided by m(-1)?
19
Suppose 2*s + d - 22 = 5*d, 4*s - 3*d = 49. Suppose 5*r + 3*z - 2*z = 511, 509 = 5*r - z. What is the remainder when r is divided by s?
11
Let b(p) = p**3 + 6*p**2 - 5. Calculate the remainder when 26 is divided by b(-5).
6
Suppose 0 = -0*h - 2*h + 4. Let j = h + 27. Calculate the remainder when 114 is divided by j.
27
Suppose -453 + 457 = 2*w. Calculate the remainder when 5 is divided by w.
1
Let b = 2 + 1. Let i(c) = -c**2 - 6*c + 7. Let p(k) = k - 1. Let r(d) = -i(d) - 3*p(d). What is the remainder when 39 is divided by r(b)?
11
Let h be (-10)/(-6)*(1 + 2). Suppose b - 2*o - h = 0, 3*b + 4 = -o + 40. Calculate the remainder when 1/(-2)*2296/(-28) is divided by b.
8
Let m = -33 + 35. Suppose 5*c - 86 = 4*s, 0 = -0*c + m*c + s - 24. Calculate the remainder when 152 is divided by c.
12
Let y(w) = -7*w**2 + w**2 + 3*w**3 - 2*w**3 + 21 + 11*w**2 - w. What is the remainder when 47 is divided by y(-5)?
21
Suppose -7*i + 3*i - 10 = -2*g, -5*i - 11 = -2*g. Let o = g + 0. Suppose 2*y - 5 - 3 = -3*a, 12 = 5*a + 2*y. Calculate the remainder when o is divided by a.
1
Let l be (3/3 + -2)*-10. Calculate the remainder when 19 is divided by l + -6*1/(-3).
7
Let q = -45 + 41. Let x = q + 15. Calculate the remainder when x is divided by 6.
5
Suppose 0 = -2*p + p + 3*s, -p + 5*s = 0. Suppose 4*z - 2*z - 6 = p, -3*z - 111 = -2*f. What is the remainder when f is divided by 21?
18
Suppose -5*w + 44 + 11 = 0. Let a be (-106)/(-10) - 6/10. Suppose a*m + 8 = 12*m. What is the remainder when w is divided by m?
3
Let s = 18 + 6. Let a(f) = 3*f**2 - 2*f - 14. Calculate the remainder when a(-5) is divided by s.
23
Suppose -5*k + 468 = -14*k. Let n = k - -77. Calculate the remainder when n is divided by 10.
5
Let q = -8 + 46. Let z = q - 19. What is the remainder when 66 is divided by z?
9
Let b = 266 - 232. What is the remainder when b is divided by 13?
8
Let l(n) = -13*n + 2. Let g be l(-1). Suppose -m - 2*i - 154 = -2*m, -5*i = g. Suppose 94 + m = 2*u. Calculate the remainder when u is divided by 31.
28
What is the remainder when 110 is divided by -9*1/(-24) - 922/(-16)?
52
Suppose -5*i + 38 + 107 = 0. Let p = -18 + i. Calculate the remainder when p is divided by 6.
5
Suppose 18*m - 357 = 15*m - 3*n, 595 = 5*m + 2*n. Calculate the remainder when 227 is divided by m.
108
Suppose 3*r - 236 = -r. What is the remainder when r is divided by (((-84)/(-70))/(-1))/(-2 - 288/(-150))?
14
Suppose -5*z + 10*z + 175 = 0. Let t be 4/14 + (-130)/z. Suppose 3*q + 43 = t*v, v + 2*q + 12 = 2*v. What is the remainder when v is divided by 3?
1
Let j = 819 + -789. Suppose 0 = n - 2*x - 3*x - 90, 2*x = 5*n - 565. What is the remainder when n is divided by j?
25
Let y(z) = -3*z**2 + 14*z - 8. Let s be y(4). Suppose 0 = -s*n + n - 27. Suppose 0 = -7*x + 2*x + 75. What is the remainder when n is divided by x?
12
Let c(w) = -5*w + 87. Let i(q) = q**3 - q**2 - 5*q + 3. What is the remainder when c(14) is divided by i(3)?
5
Let a = 56 + -51. Calculate the remainder when 39 is divided by (a/(-5))/((-1)/20) + 1.
18
Suppose -274 = -8*y - 26. What is the remainder when 60 is divided by y?
29
Let w(b) = -5*b + 3. Suppose 20*u - 90 = 110. Calculate the remainder when w(-5) is divided by u.
8
Suppose -3*c - o = -0 - 38, 45 = 5*c - 2*o. What is the remainder when 105 is divided by c?
6
What is the remainder when 5 - (308/(-539) + 25094/(-14)) is divided by 12?
10
Let o(t) be the third derivative of -t**4/24 + 4*t**3/3 + t**2. Calculate the remainder when 32 is divided by o(-10).
14
Suppose -9*j - 13 + 13 = 0. Suppose j = 18*x - 23*x + 80. Calculate the remainder when x is divided by 3.
1
Suppose -2*t - 4*d = -18, -t = 4*t - 5*d. Let l = 10 + 4. What is the remainder when t + 1 + (3 - -48) is divided by l?
13
Let m = -130 + 222. Suppose l + 3*f - 7 = 0, -2*l - 4*f - m = -7*l. Calculate the remainder when l is divided by 6.
4
Let q be ((-18)/(-12))/(6/(-8)). Let j(s) be the second derivative of -s**3/2 - s**2/2 + 3*s. What is the remainder when 14 is divided by j(q)?
4
Let q(t) = -t**3 - 7*t**2 - 12*t. What is the remainder when 12 is divided by q(-5)?
2
Let w be -1 - 2 - (-6 - -1). Suppose -2*h = d - 46, w*h - 2*d - 92 = -2*h. Calculate the remainder when h is divided by 55/4 - (-31)/124.
9
Let g(m) = m**3 + 3*m**2 - m + 3. Suppose -2*a = 6 + 24. Calculate the remainder when (-6)/(-4)*(1 + (-85)/a) is divided by g(-3).
4
Let g = 20 + 16. Suppose -5*k - 2*u = -g, -u = 4*u - 15. Let l = -9 + 15. Calculate the remainder when l is divided by k.
0
Let b be 86/6 - 4/12. What is the remainder when 3 is divided by (-4)/b + (-69)/(-21)?
0
Let r = 23 + -14. Suppose -3*j + 10*j + 28 = 0. Calculate the remainder when -1 - ((-2265)/65 + j/26) is divided by r.
7
Let a = -3 - 1. Let m(l) = -2*l**3 + 2*l**2 + 7*l + 4. Let q be m(a). Let t = q + -10. What is the remainder when t is divided by 32?
30
Suppose -5*b = 25, -3*f - 460 = -8*f - 4*b. Calculate the remainder when f is divided by 46.
4
Let n(t) = 2*t - 6. Let z be n(5). Suppose 3*j = -z*k + 79, 3*j - 2*k = -j + 120. What is the remainder when j is divided by -3 + (-3)/(-9) + 112/6?
13
Let p(k) = 5*k**2 - 4427*k + 6 + 4434*k + 0*k**2. Let c = -15 + 22. What is the remainder when p(-2) is divided by c?
5
Suppose -r = 2*r + 9, 0 = -3*h + 3*r + 564. Let q = h - 120. Calculate the remainder when q is divided by 14.
9
Let b(p) be the second derivative of -p**4/12 + 3*p**3/2 + 11*p**2 + 32*p. Calculate the remainder when b(9) is divided by 7.
1
Let y(c) = -c**2 + 53*c - 77. Calculate the remainder when y(23) is divided by 14.
11
Let y(v) = 12*v - 85. What is the remainder when y(12) is divided by 38?
21
Suppose 0 = j - 2, 5*x + 3*j = -23 + 354. Calculate the remainder when x is divided by 33.
32
Let n be ((-1)/(-5) + -1)*-15*1. Suppose 51 + 139 = 5*r. Calculate the remainder when r is divided by 1 - 4/5*(-3 - n).
12
Suppose 0 = -5*h + 3*p - 2*p + 1067, 3*p = -4*h + 846. Calculate the remainder when h is divided by 8.
5
Let i be 1*2*9/(9/2). What is the remainder when (9/15)/(i/420) is divided by 35?
28
Suppose 3*c = -4*g + 32 + 86, 0 = -2*g - c + 58. Suppose 4*a = -0*v + 4*v + g, 4*v + 40 = 5*a. Calculate the remainder when 33 is divided by a.
9
Let z = 138 - -56. Calculate the remainder when z is divided by 53.
35
Let w(x) = -12*x**3 - 2. What is the remainder when w(-3) is divided by 9?
7
Let x = 60 + -27. Let r be 5/((-25)/(-183)) + (-6)/10. Let f = r - 27. Calculate the remainder when x is divided by f.
6
Let k(y) = -10*y + 218. What is the remainder when 148 is divided by k(17)?
4
Suppose h + 21 - 9 = 0. Let n be -73*(-4)/h*3. What is the remainder when (1 - 8/4)*n is divided by 15?
13
Let g(r) be the second derivative of r**5/4 - r**4/12 + r**3/6 + 7*r. Calculate the remainder when 38 is divided by g(1).
3
Suppose 13*c - 1177 + 137 = 0. Calculate the remainder when 238 is divided by c.
78
Suppose 19 = f - 8. Let l = f - 16. Let c(j) = j**3 - 4*j**2 + 4*j + 1. What is the remainder when l is divided by c(3)?
3
Let i(z) = z**3 - 13*z**2 - 30*z + 20. Let t = 6 + -2. Suppose -76 = -t*w + 2*w. Calculate the remainder when w is divided by i(15).
18
Suppose 5*o + 15 = 10*o. What is the remainder when 119 is divided by 22 + o + (-5)/(-1)?
29
Let w(c) = 5*c**3 - c**2 + 2*c + 4. Let h be w(-2). Cal