hat is the remainder when 388 is divided by (173 - 164) + (-4)/(1 - 2)?
11
Let w = -648 + 773. Calculate the remainder when 259 is divided by w.
9
Let v = -50 + 22. What is the remainder when ((-572)/(-8) + 1)*v/(-5) is divided by 11?
10
Suppose -104*j - 6433 = -111*j. Calculate the remainder when j is divided by 220.
39
Suppose 52*i - 2613 = 13*i + 1950. What is the remainder when i is divided by 53?
11
Suppose 12*t = 4*t + 160. What is the remainder when 320 is divided by 7 - 4*t/(-8)?
14
Suppose -3*d + 8 = -2*v, -d - 11 = 3*v - 10. Suppose 6 = 3*w + 7*o - d*o, 0 = -3*w + 2*o + 27. What is the remainder when w is divided by (0 - 1)*(-12)/3?
3
Let q(a) be the third derivative of -7*a**4/2 - a**3/2 + 6*a**2. Let z be q(-1). Suppose z = 4*b - 19. What is the remainder when b is divided by 13?
12
Suppose -2*n - 2*b + 5300 = 0, 17*n - 14*n - 7952 = -5*b. What is the remainder when n is divided by 78?
75
Suppose -39 + 714 = 25*u. What is the remainder when 428 is divided by u?
23
Let v = 9 - 8. Let l be 1 - (1 - 2/v). Let u = l + 7. What is the remainder when 33 is divided by u?
6
Suppose -2*i = 13*f - 10*f - 600, -2*f - 4*i + 408 = 0. Let w = -875 + 885. Calculate the remainder when f is divided by w.
8
Suppose -30 = -2*r + 74. What is the remainder when 300 is divided by r?
40
Let w = 92 + -87. What is the remainder when 31 is divided by (-16)/(-2) - 5/w?
3
Suppose 0 = -5*o + 15, 0*a = a + 2*o - 40. Suppose 8*w - 4956 = -a*w. Calculate the remainder when w is divided by 22.
8
Let l(a) = a**2 - 37*a - 355. Calculate the remainder when 582 is divided by l(46).
51
Let g(t) = 65*t**2 - 259*t - 769. Calculate the remainder when g(-3) is divided by 18.
17
Let b(p) = -226*p - 3151. What is the remainder when b(-15) is divided by 22?
19
Suppose 0 = 23*a + 19 - 134. Let w(j) = -j**2 + 4*j + 12. What is the remainder when 35 is divided by w(a)?
0
Suppose 2*a + 18*d - 17*d = 308, -2*a - 5*d = -292. What is the remainder when a is divided by 51?
3
Let x(f) = -11*f**2 + 10*f + 12. Let q be x(5). Suppose -25 = -5*d, -6*d = 4*r - 3*d + 497. Let c = r - q. Calculate the remainder when c is divided by 29.
27
Suppose 2*k - 21 = -5*k. Suppose k*p = 7*p - 148. Let i(n) = -n**2 + 12*n + 10. Calculate the remainder when p is divided by i(12).
7
Suppose -8808 - 16511 = -2329*j + 300. Let y = -19 - -27. Suppose -4*l + y*l = 148. What is the remainder when l is divided by j?
4
Let u be 2/(-13) + (-3650)/(-65). Let c = -84 + u. Let t = 36 + c. Calculate the remainder when 39 is divided by t.
7
What is the remainder when ((-11)/(165/70))/((-36)/3834) is divided by 133?
98
Let j(q) = -58*q - 47 - 15 + 3*q**2 - q**2 + 3*q. What is the remainder when 199 is divided by j(29)?
24
Suppose -16*v = -18*v + 6. Suppose -u = -18 - 36. Calculate the remainder when u is divided by 116/16*12*1/v.
25
Suppose -7*j - 6*j = -65. Suppose -15 = -5*f, 1 - 821 = -j*u - 5*f. Calculate the remainder when u is divided by 18.
17
Let m = -116573 + 116598. Suppose 3*n - 906 = 5*s, -4*s - 9 = -s. Calculate the remainder when n is divided by m.
22
Suppose -28021 - 74315 = -41*j + 101885. Calculate the remainder when j is divided by 94.
93
Let i = 2147 - 1166. Calculate the remainder when i is divided by 43.
35
Calculate the remainder when (-528)/308*49/(-3) is divided by 679/35 + (-4)/10.
9
Let u(w) = 7*w + 60. Let y be u(5). Let i = -30 + y. What is the remainder when 647 is divided by i?
62
Suppose -2*m = -4*n + 200, -10*m + 8*m - n - 175 = 0. Let x = -34 - m. What is the remainder when 87 is divided by x?
31
Let s = 6675 + -6613. Calculate the remainder when 1621 is divided by s.
9
Let m = 2029 - 1850. What is the remainder when m is divided by 53?
20
Let y be (-3)/(-6) - (-795)/6. Let i = -8 + y. Suppose -107 - i = -4*v. What is the remainder when v is divided by 15?
13
Let w(c) = -7*c - 1. Let j(u) = -6*u**2 + 2*u. Let y be j(1). What is the remainder when w(-3) is divided by -3 + 5 + y - -4?
0
Calculate the remainder when 242 is divided by 50932/(-204)*3/(-7).
28
Let b(d) = 71*d + 85. Calculate the remainder when b(5) is divided by 49.
48
Suppose 0 = -35*w - 2317 + 3299 + 3708. Calculate the remainder when 511 is divided by w.
109
Let y(w) = -2*w**3 + 36*w**2 - 97*w + 6. What is the remainder when y(14) is divided by 66?
18
Let v(y) = 15*y**2 - y. Let s(k) be the second derivative of -3*k**3 - 22*k**2 - 49*k. What is the remainder when s(-5) is divided by v(-1)?
14
What is the remainder when 150 is divided by (22 - 25)/((-5)/135)?
69
Let h(z) = -z**2 + 18*z + 32. Let s be h(17). Suppose 65 = 6*w - s. What is the remainder when 33 is divided by w?
14
Calculate the remainder when ((-12)/(-3) - 6/2) + 4618 is divided by 154.
153
Suppose 0 = -3*a - 18, 0 = 103*g - 98*g - 4*a - 204. What is the remainder when 788 is divided by g?
32
Let w be (2 - 5/1) + (-2 - -93). Let z = -81 + w. Calculate the remainder when 100 is divided by z.
2
Let i = -25830 - -25842. Calculate the remainder when 219 is divided by i.
3
Let p(q) = -2*q**2 + q**2 - 6*q + 2*q**2 - 1. Calculate the remainder when (-148 - -140)/(2/(-5)) is divided by p(7).
2
Suppose 0 = 11*y - 26 - 7. Suppose 5*q - 26 = 4*q - 2*b, 5*q + y*b - 123 = 0. What is the remainder when 645 is divided by q?
21
Let k be ((-10)/36 - (-14)/(-63))*-14. Suppose k*p + 712 - 145 = 0. What is the remainder when ((-2)/(-3))/((-6)/p) is divided by 5?
4
Suppose 0 = -8*k + 6*k + 6. Suppose 5*t = 2*d - 12, -3*t - k - 4 = -d. Calculate the remainder when 54 is divided by (d - -3) + 240/24.
12
Let j = -21517 - -45624. Calculate the remainder when j is divided by 14.
13
Suppose 4*y + 154 = 3*g, -4*g + y = -y - 212. Suppose -5*s + q + 790 = 2*q, q = -4*s + 633. What is the remainder when s is divided by g?
49
Let a(w) = 15*w + 110. Let t be a(-18). Let d = -129 - t. Calculate the remainder when 152 is divided by d.
28
Let h(k) = 2. Let r(j) = -7*j**2 + 2*j - 7. Let o(t) = -4*h(t) - r(t). Calculate the remainder when o(-2) is divided by 2/(-7) + (-58)/(-7).
7
Let x be -2 + 9 + -6*(-5)/15. Let r(n) = -n**3 + 13*n**2 - 14*n + 53. What is the remainder when r(x) is divided by 28?
27
Let s(d) = -31*d - 120. Suppose -33 = 3*h + 7*c - 2*c, 0 = -5*h - 2*c - 36. Calculate the remainder when s(h) is divided by 15.
6
Let d(v) = -v**3 - 29*v**2 + 24*v - 129. Let n = 11 + 8. What is the remainder when d(-30) is divided by n?
13
Suppose 3*c = 9*c + 48. Let r = 98 + -87. What is the remainder when (-1701)/(-42)*c/(-6) is divided by r?
10
Suppose -r = 5*z - 2*z - 669, -2*r = z - 1353. Calculate the remainder when r is divided by 171.
165
Suppose 109*c - 846 = 188*c - 97*c. Calculate the remainder when 492 is divided by c.
22
Let n(l) be the second derivative of l**5/20 - l**4 + 17*l**3/6 + 6*l**2 + 50*l. What is the remainder when n(11) is divided by 27?
24
Let j(r) = r**2 + 17*r - 29. Let n be j(-20). Let t(c) = 2*c**2 + 4*c - 4. Let k be t(2). Let w = n - k. What is the remainder when w is divided by 11?
8
Suppose 3*q = -h - 34, 5*h + q = -57 - 71. Let s = h - -31. Suppose 2*g - 113 = -3*j, 0 = 3*j - s*j + 3*g + 108. What is the remainder when j is divided by 13?
11
Let d = -4197 - -4667. What is the remainder when d is divided by 195?
80
Suppose 0 = -73*p + 6*p + 5427. What is the remainder when 259 is divided by p?
16
Suppose -3*h = -q + 2334, -11738 = 6*q - 11*q - 2*h. Suppose 0 = 13*c - q - 176. Calculate the remainder when c is divided by 39.
38
Suppose -9*l - 27948 = -21*l. Suppose -5*b + 106 + l = 0. Calculate the remainder when b is divided by 41.
36
Let i(l) = 9*l**2 + 30*l - 81. What is the remainder when i(9) is divided by 34?
0
Suppose 219 = 50*u - 49*u + 2*a, 3*u = 3*a + 621. What is the remainder when 884 is divided by u?
40
Suppose 4435 = 67*n + 2909 - 6112. Calculate the remainder when 565 is divided by n.
109
Let y = 42671 + -42649. What is the remainder when (3 - (-28)/(-8))*-70 is divided by y?
13
Let i be (-2)/(4 - (-795)/(-198)). Suppose 2*u + i = -6. Let d = u + 124. Calculate the remainder when 107 is divided by d.
52
Let t = -122 - -124. Suppose 5*f - 7 = t*l + 697, 0 = 2*l - 6. Calculate the remainder when f is divided by 38.
28
Let j(p) = -950*p - 44600. Let h = 422 - 227. Calculate the remainder when h is divided by j(-47).
45
Let t = 455 + -455. Suppose 5*