mainder when 10 is divided by n.
4
Suppose -52 = -2*g - 12. What is the remainder when 69 is divided by (-20)/g + 38/2?
15
What is the remainder when 96*44/(-12 - -23) is divided by 30?
24
What is the remainder when 491 is divided by -4 + -84*5/(-1 + -9)?
35
Let s be -2 + (15 - (-17 - -11)). Let q(m) = -m + 3. Let k be q(3). What is the remainder when s*(k + 3 - 2) is divided by 5?
4
Let r(c) = 2*c**2 + 0*c**2 + 10 + 7*c + 4*c**2 - 4*c**2. What is the remainder when r(-4) is divided by 8?
6
Suppose 4*g - 415 = 197. Suppose 4*x - 7*x = -g. What is the remainder when 32 is divided by x/(-12)*2*-2?
15
Let y(b) = 3*b + 53. What is the remainder when 76 is divided by y(-12)?
8
Let d(t) be the third derivative of t**5/12 + t**4/12 + t**3/3 + 37*t**2. Calculate the remainder when d(-1) is divided by 2.
1
Suppose 0 = -3*p - 3*n - 159, n = -3*p - 74 - 89. Suppose 25*f + 116 = 21*f. Let z = f - p. What is the remainder when 101 is divided by z?
23
Suppose 0 = v + v + 2*t - 6, -3*v = t - 1. Let j = 6 + v. Suppose -153 = 2*l - j*l. Calculate the remainder when l is divided by 27.
24
Suppose 5*n - 68 = 42. Suppose -v = 3*v - 424. Calculate the remainder when v is divided by n.
18
Let r be (-5)/(-15) - (-123)/9. Suppose -5*q = -31 - r. Suppose -3*c + 6*c = 48. Calculate the remainder when c is divided by q.
7
Let y = 60 - 53. Suppose y*u - 3*u = 84. Calculate the remainder when u is divided by 12.
9
Let f be (84/16)/(4/(-128)). Let n = -110 - f. Suppose 3*v + 2*s - 53 = 0, 2*v - s - 60 = -13. What is the remainder when n is divided by v?
16
Suppose 93 = r - 111. Let d = r + -146. Calculate the remainder when d is divided by 15.
13
Let j = -86 + 130. Calculate the remainder when 167 is divided by j.
35
Suppose 3*g = -h - 10, 4*g = g + 12. Let u = h - -43. Let n = u + -9. Calculate the remainder when n is divided by 5.
2
Suppose -2*i - 2*i = 3*f - 60, -3*f = 0. Let q(n) = n**3 - 8*n**2 - 7*n - 12. What is the remainder when i is divided by q(9)?
3
Let r(s) = -s**3 + 10*s**2 - 11*s + 20. Let c be r(9). Suppose 0 = 2*n + f - 24, 5*n + c*f - 24 = 36. What is the remainder when n is divided by 3?
0
Suppose -8*j + 15 = -3*j. Let t be (1 - 1)/(6/(-3)). Suppose j*m + 0 - 15 = t. What is the remainder when 14 is divided by m?
4
Calculate the remainder when ((-180)/(-50) - 4)*-570 is divided by 6.
0
Suppose 4*z = 112 - 36. Let n be (-3 + (-8)/(-4))*-5. Suppose -6*i + 103 = 2*j - i, n*j - 271 = i. What is the remainder when j is divided by z?
16
Suppose -69*y = -92*y + 69. Let t = 4 + -2. What is the remainder when y is divided by t?
1
Let m(v) = -v**3 + 18*v**2 + 118*v - 34. Calculate the remainder when 117 is divided by m(23).
12
Calculate the remainder when (-2 + -115 + 2)*-3 is divided by 12.
9
Let q(z) = z**2 + 16*z - 12. Calculate the remainder when 55 is divided by q(-18).
7
Suppose x = -1 - 1, 3*h + 2*x - 473 = 0. Suppose -9*y + h = -6*y. Calculate the remainder when y is divided by 15.
8
Suppose -55 = -4*t + 25. Let m(l) = 161*l - 1. Let b be m(1). Let k = b + -81. Calculate the remainder when k is divided by t.
19
Let v be (-1)/(-1) + 28/1. Suppose q - 73 = -4*x - v, 11 = x - 2*q. What is the remainder when (6*(-1)/8)/((-3)/84) is divided by x?
10
Let g = 55 + -27. Let i be ((-4 - -2) + 8/3)*-3. Let s = i - -17. What is the remainder when g is divided by s?
13
Let l(v) = 42*v**2 - v - 2. Let b be l(-1). Let w = -9 + b. What is the remainder when w is divided by 11?
10
Let n(k) = -k**2 - 5*k + 14. Let q be n(-7). Let t = -10 + 6. What is the remainder when 6 is divided by (t*1)/(-2) + q?
0
Suppose -20 = 3*s - 140. Suppose -2*j = 5*t - 73, -5*j = 4*t - t - s. What is the remainder when 59 is divided by t?
14
Let z(k) = -15*k**3 - k**2 - k. Suppose -5*o = -11 + 16. Calculate the remainder when -1 + ((-168)/(-1))/3 is divided by z(o).
10
Let v(b) be the first derivative of 4*b + 1/2*b**2 + 2/3*b**3 - 2. What is the remainder when 9 is divided by v(0)?
1
Suppose -11 - 37 = -3*t. Let r(g) = 7*g**2 + 3*g + 1. Let n be r(-1). Suppose 206 = n*b - 19. Calculate the remainder when b is divided by t.
13
Let o(t) = 20*t**2 - 1 - 1 + t**2 + 3*t + 5. Suppose 2*w - 105 = -3*w. What is the remainder when o(-2) is divided by w?
18
Let o = -11 - -159. What is the remainder when o is divided by 17?
12
Let q = 195 - 160. Calculate the remainder when q is divided by 4.
3
Suppose -15*a + 603 + 147 = 0. What is the remainder when a is divided by 18?
14
Suppose 2 = -3*h + 8. Suppose -3*t - 5*z + 22 = 0, -3*z - 17 = -2*t - 4*z. What is the remainder when t is divided by h?
1
Let c be 101/(-11) - ((-168)/(-44) + -4). Calculate the remainder when 715/15 + (-3)/c is divided by 13.
9
Suppose 28*k - 18732 = -14*k. What is the remainder when k is divided by 45?
41
Let k = 55 - 40. Calculate the remainder when 2 is divided by 26/10 + (-39)/k + 2.
0
Let o(k) = 132*k + 59. What is the remainder when o(2) is divided by 25?
23
Suppose -24 = -4*m + 16. Let n(b) = -b**2 + 24*b + 11. What is the remainder when n(22) is divided by m?
5
Let p(b) = 2*b**2 - 7*b. Let s be ((-7)/(-14))/(1/(-20)). Let v be ((-2)/(-4))/((-1)/s). Calculate the remainder when 29 is divided by p(v).
14
Let p = 18 - 18. Suppose 2 = -u - d + 9, p = -d + 5. Calculate the remainder when u/6 - 393/(-9) is divided by 12.
8
Let c(y) be the second derivative of -1/12*y**4 - 9/2*y**2 + 0 + 5/2*y**3 + 3*y. Calculate the remainder when c(10) is divided by 14.
13
Let p(d) = -2*d - 3. Calculate the remainder when p(-32) is divided by 25.
11
Let c = -40 - -73. Suppose -c + 97 = 2*l. Suppose -15*z + l = -14*z. What is the remainder when z is divided by 17?
15
Let b(y) = -y**3 + 4*y**2 + y - 6. Suppose 6*c = 2*c - 4*a, 0 = 5*a + 15. Let k = -19 + 28. What is the remainder when k is divided by b(c)?
3
Suppose -20 = a - 5*a. Suppose -10*r = -a*r - 220. What is the remainder when r is divided by 9?
8
Suppose -2*y - 5*u = -18, -u = y + 3*u - 6. Let l be ((-106)/3)/((-6)/9). Suppose 0*w + w - l = 0. What is the remainder when w is divided by y?
11
Let z(s) = 2*s**2 + 17*s - 2. Let p be z(-9). Suppose -2 = 2*u, -3*m = -m + u - p. Calculate the remainder when 19 + (m/1 - 8) is divided by 6.
3
Suppose -3*w - 5*i = -8*w + 10, -w + 3*i - 2 = 0. Suppose w*j - 156 = -5*z, -2*j + 29 + 43 = z. What is the remainder when j is divided by (3/6)/((-1)/(-24))?
10
Let v be 2 + -5 - 2*(2 - 4). Let i(c) = 28*c**3 + 2*c**2 - 4*c + 1. Calculate the remainder when 53 is divided by i(v).
26
Suppose 0*a + 3*a - 135 = -5*c, 5*c = 5*a - 225. Suppose -4*n + 460 = -0*n. Let w = n - a. Calculate the remainder when w is divided by 24.
22
Suppose 0 = -7*g + 46 + 31. What is the remainder when 98 is divided by g?
10
Let s be (-10)/(-15) + 4/(-6). Suppose -19 = -4*a + 45. Calculate the remainder when (0 + -29)*(-1 + s) is divided by a.
13
Let a = -402 + 411. What is the remainder when 4/(-18) + (-308)/(-9) is divided by a?
7
Let p(v) = 2 - v**2 - 2 - 14*v + 7. Let m(j) = j + 17. Let i be m(-25). Calculate the remainder when p(i) is divided by 14.
13
Let z = 13 + 86. Calculate the remainder when z is divided by 31.
6
Let g(h) = -22*h - 4. Let z be g(-6). Suppose -n = 3*n - z. Suppose -57*w - 1 = -56*w, -3*w - 251 = -4*m. What is the remainder when m is divided by n?
30
Suppose 0 = -4*q + 60 - 20. Let i be 9/4 - 6/24. What is the remainder when (-1)/2*i*-29 is divided by q?
9
Suppose 3*n - 124 = z - 35, -6 = 3*z. Calculate the remainder when 99 is divided by n.
12
Suppose 2*v + 6 = 5*v. Suppose -5*k + 80 = 4*o, -k + o = -v*k + 15. What is the remainder when 39 is divided by k?
19
Suppose -3*l + 4*h = -107, l + h - 14 = 10. Calculate the remainder when l is divided by 9.
2
Suppose -3*l + 81 + 75 = 0. Suppose c = 4*o + 15, -5*c + 167 = 3*o + 23. What is the remainder when l is divided by c?
25
Suppose -5*x + 26 = -3*b - 92, 3*b - 112 = -5*x. What is the remainder when 159 is divided by x?
21
Let a(j) = j**2 - 21*j + 14. Suppose 58 + 82 = 7*n. Let g be a(n). Let v(t) = -4*t - 7. What is the remainder when 63 is divided by v(g)?
12
Suppose 0 = -3*y - 2*a + 337 - 31, 3*a - 408 = -4*y. Calculate the remainder when y is divided by 57.
45
What is the remainder when 1257 is divided by 276/8 + 27/18?
33
Let y(v) be the third derivative of 0 + 0*v - 9*v**2 - 1/6*v**4 - 7/6*v**3. Calc