he remainder when t is divided by 70.
13
Let f(x) = -59*x + 2. Calculate the remainder when f(-5) is divided by (4/(-2) + -23)/(2003/(-6009)).
72
Let i be 110/2 - 0/(32/4). Suppose -x + i = 4*g, 4*x + 34 = 3*g - 12. What is the remainder when 82 is divided by g?
12
Suppose -9*a + 15 + 30 = 0. Suppose -3*r = -4*b - 159, -5*r - 258 + 68 = a*b. Calculate the remainder when b/(-7) + (-28)/49 is divided by 3.
2
Let f(h) = -5*h**3 + 3*h**2 + h. Let p be f(-2). Suppose 78 + p = 4*b. Let n = b - 17. What is the remainder when 25 is divided by n?
10
Let i(l) = l**2 + 2*l + 41. Let z be i(-12). Suppose z = g + 6*g. What is the remainder when 99/6*(-16)/(-6) is divided by g?
21
Calculate the remainder when 1257 is divided by (150/(-200) + 4/(-16))/(1/(-34)).
33
Suppose 607 = -4*v + 3*t + 2460, 5*t = v - 442. What is the remainder when v is divided by 52?
51
Let h(z) = 2*z**3 - 17*z**2 - 6*z - 7. Let a be h(9). Suppose a*x - x = 380. Calculate the remainder when 176 is divided by x.
16
Let m = 55314 - 55285. Let q(h) = 7*h**2 + 3*h - 2. What is the remainder when q(-3) is divided by m?
23
Suppose 0 = 3*c - 5*f + 2, -4*c = -4*f + f + 10. Calculate the remainder when 151 is divided by (76/c)/(-6 - -5).
18
Suppose -10*h - 3*r - 11977 = -15*h, -2*h + 2*r = -4790. Calculate the remainder when h is divided by 15.
11
Let i = -514 + 635. What is the remainder when i is divided by 4?
1
Let m(v) = 204*v + 2076. What is the remainder when -12*(0 - 78/9) is divided by m(-10)?
32
Suppose -13 = 3*x + 5*z, 0 = -x + 2*z + 7 + 7. Suppose x*u + 5 = -5*o + 16, 10 = -u + 3*o. What is the remainder when 113 is divided by u/(-2) + (-180)/(-8)?
21
Let h(c) = c**3 + 24*c**2 - 5*c - 96. Let k be h(-24). Let f(t) = -t**3 + 27*t**2 - 59*t + 54. What is the remainder when f(k) is divided by 92?
90
Let z = 6 + 59. Let y(k) = -k - 2 + 3 - 1 + 3. Calculate the remainder when z is divided by y(-3).
5
Suppose 143 = -5*i - 4*a, -5*i = -5*a + 144 - 19. Let y = i + 116. What is the remainder when y is divided by 17?
4
Let h be (10/(-8))/(8/96*-3). Let m(k) = k**2 - 7*k + 28. What is the remainder when 196 is divided by m(h)?
16
Let v = 2887 + -2884. Suppose 3*q - 2*q - 10 = 0. What is the remainder when q is divided by v?
1
Suppose 6*k - 379 = 8*k + 3*r, 895 = -5*k + 3*r. Let f = -165 - k. Calculate the remainder when 32 is divided by f.
15
Let l be (-1 + 6/(-3))*-1. Suppose -n + 4*x = -175, l*n - 8*x = -5*x + 525. What is the remainder when n is divided by 8?
7
Let m(u) = 4*u**3 + 2*u**2 + 1. Let d be 12/(-21) + 30/(-21). Let n be m(d). Let y = 30 + n. What is the remainder when 53 is divided by y?
4
Suppose 1782 = 8*w - 1034. Suppose -771 + 3352 = 29*g. What is the remainder when w is divided by g?
85
Suppose -39*y = -22*y + 15*y - 5696. What is the remainder when y is divided by 117?
61
Let c(s) = -s**2 + 17*s + 142. Let h be c(23). Let u(j) be the second derivative of -j**3/6 + 23*j**2/2 + j. Calculate the remainder when 55 is divided by u(h).
17
Suppose 5*i - 88 - 27 = -4*r, -2*i + 2*r + 46 = 0. What is the remainder when 2/4*(2 - -262) is divided by i?
17
Let g(y) = 9*y**3 + 6*y**2 - 10*y - 1. Let v be g(3). Let h = -260 + v. Calculate the remainder when h is divided by 5.
1
Suppose 4*s - 811 + 207 = -3*u, 2*u + 5*s = 405. What is the remainder when u is divided by 116?
84
Let u(i) = 3*i**2 - 39*i + 5. Calculate the remainder when 450 is divided by u(0).
0
Let x(j) = 335*j + 3. Let w(r) = -502*r - 4. Let a(i) = 5*w(i) + 7*x(i). Suppose 6*b - 8 = 244. Calculate the remainder when a(-1) is divided by b.
40
Suppose -355 = -2*g + 3*b - 74, 4*b - 612 = -4*g. What is the remainder when g is divided by (-2)/8 + (-153)/(-4)?
34
Let z(d) = 4*d**2 + 107*d + 40. Let r = 226 + -152. Let l = r - 50. Calculate the remainder when z(-27) is divided by l.
19
Let u = 5 - 3. Suppose -u*r - 2*r = 2*c - 6, 3*c - 10 = -5*r. Let y = 24 - 7. What is the remainder when y is divided by c?
2
Calculate the remainder when 105 is divided by (-2515)/(-100) - 72/480.
5
Let k be 2/2 + (-30 - -29). Suppose k = 15*q + 13*q - 2744. What is the remainder when 685 is divided by q?
97
What is the remainder when 2 - (-4909)/6 - (299/(-6) + 50) is divided by 162?
10
Suppose -2*u - 2*z + 2003 = 1865, 5*u - 4*z - 345 = 0. What is the remainder when 1524 is divided by u?
6
Suppose -26*a = -22*a - 36. Let c(u) = -u**3 + 10*u**2 - 10*u + 11. Let f be c(a). Calculate the remainder when 130 is divided by (-19*(-14)/(-35))/(f/(-5)).
16
Suppose -3*a = j - 9, -j + 12*a = 9*a + 9. Let g(f) = -7 - 42*f + 21 + 21*f + 32*f. Calculate the remainder when 53 is divided by g(j).
11
Let b = -22497 + 23980. Calculate the remainder when b is divided by 139.
93
Let q = -552 + 621. Let b = 81 - q. Suppose 32 = 3*i - 67. Calculate the remainder when i is divided by b.
9
Let w be -5848*4/32*-4. Suppose -25*i - 9*i + w = 0. Calculate the remainder when i is divided by 30.
26
Let k be (5 + 21/(-6))*14. Suppose -4*u = -5*u + 13. Let o = k - u. What is the remainder when 12 is divided by o?
4
Suppose -5*c = -2*c - 9, 3*l - 576 = -5*c. Let j = -158 + l. What is the remainder when 77 is divided by j?
19
Suppose 0 = -g - 5, 25 = -2*n + 3*n - 5*g. Suppose 3*m = 5*h - 110 - 327, 5*m - 5 = n. Calculate the remainder when h is divided by 31.
26
Suppose -38 = -2*i - 0. Suppose -40 = 2*z + w + 13, 6*z + 5*w = -165. Let n = 31 - z. What is the remainder when n is divided by i?
18
Let l = -121 - -170. Let k = l + -33. Let x = k + -1. What is the remainder when x is divided by 3?
0
Suppose 15 - 8 = 7*m. Suppose -10*i + m = -19. Calculate the remainder when 12 is divided by i.
0
Let t be (-562)/4 - (-3)/6. Let m = 144 + t. Let w(p) = -5*p + 2. Calculate the remainder when w(-5) is divided by m.
3
Suppose 0 = 4*n - 59 - 1493. Let f = -3901 + 3915. Calculate the remainder when n is divided by f.
10
Let x(c) = 2*c**2 + c + 2. Let f be x(2). What is the remainder when 288 is divided by 59/1*(f - (-5 - -16))?
52
Let x be (2 - 24)*(4 + -3 + -3). Let r = 37 - 22. Calculate the remainder when -5 + 2*x*7/14 is divided by r.
9
Let k be 8/(-6)*42/16*-2. Let p be 2980/7 - (-2)/k. Suppose p = 5*h - 419. What is the remainder when h is divided by 43?
40
Let q(s) = -150*s + 3521. Calculate the remainder when 1123 is divided by q(23).
58
Let x = 115 + -34. Let o be 7*2*20/14. Let b = 32 - o. What is the remainder when x is divided by b?
9
Suppose 0 = 5*z - 3*i - 1476, -5*i + 175 + 109 = z. What is the remainder when z is divided by 148?
146
Suppose -159*a - 22*a + 1601842 + 124717 = 0. What is the remainder when a is divided by 26?
23
Suppose 10*y - 397 = -287. Let t = -18 - 32. Calculate the remainder when (9/6)/((-1)/t) is divided by y.
9
Let n(j) = 13*j**2 - 24*j - 48. Suppose -3*b + 77 = 98. What is the remainder when n(b) is divided by 11?
9
Suppose -242 = 4*p + 2. Let d = p + 248. What is the remainder when d is divided by 21?
19
Suppose 4*z - 333 = -4*r + 5*z, -271 = -3*r + 5*z. Let h = r - 69. Calculate the remainder when 35 is divided by h.
9
Suppose -160 = -v + 3*o - 65, -10 = -5*o. Calculate the remainder when 906 is divided by v.
98
Suppose 12*u = 269 + 163. Let q(k) = k**2 + 12*k - 5. Calculate the remainder when q(10) is divided by u.
35
Let p(s) = -2*s**3 - s**2 + 3*s + 5. Let c be p(0). Suppose -5*o + c*g = -315, -5*g - 6 + 16 = 0. Calculate the remainder when 189 is divided by o.
59
Suppose 0 = 4*i - 7*i. Let c = i + 15. Let s = -119355 + 119363. What is the remainder when c is divided by s?
7
Let p(m) = 7*m - 6*m**2 + m**2 + 22*m + 215 + 6*m**2. Calculate the remainder when 12 is divided by p(-17).
1
Let w(x) = 2*x**2 - 87*x - 40. Let k be w(47). Let t = -393 + 595. Let z = k - t. Calculate the remainder when z is divided by 18.
15
Suppose -44 + 62 = 3*f. Let q be f*-1*(-3 + (-10)/(-4)). Suppose 2*v + p + p = 52, -2*v + q*p + 57 = 0. Calculate the remainder when v is divided by 6.
3
Let a = -407 + 405. Let v = 11 + a. Calculate the remainder when 88 is divided by v.
7
Let c(v) = v**3 + 23*v**2 + 96*v + 59. Calculate the remainder when 2405 is divided by c(-17).
151
Suppose -4*h + 25 = h. Let y be 2 + 5/(20/68). Let s = y - h. Calculate the remainder when 24 is divided by s.
10
Suppose -f - 486 = -5*w, -2*f - 113 = -w - 14. Suppose 0 = -6*b + 565 - w. Calculat