 = 30 - -56. Suppose 191*q = 117 + 3512. Calculate the remainder when v is divided by q.
10
What is the remainder when (11088/12)/28 - -111 is divided by 2/(-1 - 23/(-21))?
18
Let b be (1/(-3))/(-2 + (-17)/(-9)). Suppose 4*w + 58 = 8*w - 2*t, -b*w = -t - 42. Suppose -27 = -w*u + 10*u. What is the remainder when 25 is divided by u?
7
Suppose 12*w - 2693 = 523. Let p = -260 + w. What is the remainder when 63 is divided by p?
7
Let r(b) = b**3 + b - 2. Suppose 3*a + 2*g = 43, 0 = 147*a - 148*a - 5*g - 55. Calculate the remainder when a is divided by r(2).
1
Let k = -1074 - -1082. Let r(z) = 1 + 1 - 2*z**2 + z**2 - 6*z - 3. What is the remainder when k is divided by r(-5)?
0
Let c = 21 - -72. Suppose 4*t + 7 = -4*r + 3, 4*r + 16 = 2*t. Suppose 4*k + 2*x = 7*k - 40, -t*x - 16 = -k. Calculate the remainder when c is divided by k.
9
Let g(v) = 2*v**2 - 19*v + 5. Let y(q) = 6*q**2 - 56*q + 12. Let i(w) = -10*g(w) + 3*y(w). What is the remainder when 71 is divided by i(8)?
3
Let z be 14/(-63) - 2/(-9). Suppose z = 2*o - 4*o + 64. Suppose 6*k - 7*k + 11 = 0. Calculate the remainder when o is divided by k.
10
Let b be 104/6*-1*9/(-6). Suppose q + b = 42. What is the remainder when 39 is divided by q?
7
Let a be (5 - -12)/((-26)/(-9) + -3). Let z = 158 + a. Calculate the remainder when 18 is divided by z.
3
Suppose -3 = 4*n + 1. Let j(c) = -23*c - 2. Let t(v) = 10*v + 1. Let m(g) = -2*j(g) - 5*t(g). What is the remainder when 10 is divided by m(n)?
1
Let t(x) = 30*x**2 - 255*x + 229. Calculate the remainder when t(17) is divided by 1141.
0
Let p = -291 - -434. Let d = 155 - p. Calculate the remainder when 117 is divided by d.
9
Let n be 61/2*(29 + 1). Suppose n = 5*u + 755. What is the remainder when 59 is divided by u?
27
Let k(c) = c**3 + c - 33. Let n be k(0). Let x = 69 + n. Suppose 0*p - x = -3*p. What is the remainder when 33 is divided by p?
9
Let u be 3 + 9/(-27) + 1384/(-6). What is the remainder when u/190 - 121/(-5) is divided by 2 + 2/(-1) + 4?
3
Suppose -3*q - 3*l = -99, q = 46*l - 42*l + 33. What is the remainder when 350 is divided by q?
20
Let s = -88 - -240. Suppose 323*o - 325*o + 41 = 5*x, -o + x + 10 = 0. Calculate the remainder when s is divided by o.
9
Suppose -31*n + 5610 = 3*l - 36*n, 4*n = 4*l - 7472. Calculate the remainder when l is divided by 189.
164
Let j = -8539 - -8906. What is the remainder when 2573 is divided by j?
4
Let l = -4271 + 4571. What is the remainder when l is divided by 95?
15
Let r(q) = -2*q**3 + 4*q + 1. Suppose 3*m - 11*m = -3856. Let i = m + -471. Calculate the remainder when r(-3) is divided by i.
10
Let k(f) = 9*f + 105. Let h(w) = -33*w. Let u be h(-6). Suppose 0 = -5*l + u + 92. What is the remainder when l is divided by k(-10)?
13
Let i(f) = 394*f + 2420. Calculate the remainder when 72 is divided by i(-6).
16
Let p = -154 - -168. Suppose 186 = 5*o - 639. Calculate the remainder when o is divided by p.
11
Suppose -968 = 32*b - 1840 - 1976. Calculate the remainder when 983 is divided by b.
4
Suppose 2*y - 4 + 8 = -4*v, 13 = 4*y + v. Suppose -4*l = t - 116, -3*l + y*t - 14 = -4*l. Calculate the remainder when l is divided by 9.
3
Suppose -5*s = z + 7, -5*z + 1 = -5*s - 84. Let f be (52*6/72)/(1/3). Suppose f*c - 90 = 11*c. What is the remainder when c is divided by z?
6
Let l(c) be the second derivative of -c**3/6 - c**2/2 + 67*c. Let o(h) = 5*h - 3. Calculate the remainder when l(-34) is divided by o(4).
16
Let t be (-1 - 12/(-27)*3)*-3. Calculate the remainder when t*686/(-8) - 17/(-68) is divided by 11.
9
Let b(t) = -t**2 + 6*t + 9. Let f be b(7). Suppose 0 = f*z - 13 - 43. Suppose -r + z = r. Calculate the remainder when r is divided by 8.
6
Suppose 3*d + 8 + 7 = 0, u = -d + 215. Suppose -56 - u = -4*l. Calculate the remainder when l is divided by 18.
15
Let b be (-2694)/(-12) + 3/(-6). Suppose 0 = 2*p + 5*p - b. Suppose 4*y = -12*y + p. Calculate the remainder when 4 is divided by y.
0
Let i(z) = 25*z - 2740. What is the remainder when 507 is divided by i(110)?
7
Calculate the remainder when (-6528)/(-46) + (-80)/(-920) is divided by 88.
54
Suppose 5*h - 67 = 4*i, 0*i - 3*i - 5*h = 24. Let f = 54 + i. Let y(v) = v**3 + 6*v**2 - 8*v + 7. Calculate the remainder when f is divided by y(-7).
13
Let w be (3/9)/((-2)/6). Let q be (1 + 1)*3 + (-2 - w). Suppose -q*j + 4*a = -36, -4*j - 2*a + 26 = -j. Calculate the remainder when j is divided by 5.
3
Suppose -2*r = -116 + 58. Calculate the remainder when r is divided by ((-23)/3)/(89/(-267)).
6
Suppose -76*l = -75*l - 3. Suppose 5*d - 11 + 46 = 5*h, -70 = -5*h - 2*d. Calculate the remainder when 191 is divided by 32 + (h/(-4))/l + 1.
31
Suppose -13 = -4*n - 5. Let h be (2 - n/4)/((-1)/2). Calculate the remainder when (-1)/(267/90 + h) is divided by 16.
14
Suppose -7 + 216 = 11*a. Let x = -20 + 76. What is the remainder when x is divided by a?
18
Suppose -7*g + 9*g - 3*s = 93, 4*g + s - 193 = 0. Calculate the remainder when 263 is divided by g.
23
Let t(k) = -50*k - 5. Let x be t(2). Let c = -51 - x. Suppose -c + 15 = -3*o. Calculate the remainder when o is divided by 5.
3
Let x be (-5)/1 + -250*(-1)/(-2). Let p = x + 165. What is the remainder when 139 is divided by p?
34
Calculate the remainder when -35*87/(-15)*6/7 is divided by 44.
42
Let w(m) be the second derivative of -43*m**4/12 + 11*m**3/6 - 2*m**2 + 22*m. Let x be w(3). Calculate the remainder when (1/(718/x + 2))/(-1) is divided by 30.
29
Suppose 0 = -3*s - 15, -157*p + 110 = -155*p + 4*s. Calculate the remainder when 391 is divided by p.
1
Let y(a) = a**2 - 120*a + 4714. Calculate the remainder when y(106) is divided by 9.
8
Let m(t) = 3*t + 11 + 13 - 30 - t**2 - t**3. What is the remainder when 204 is divided by m(-4)?
24
Let j(v) = -v**3 - 11*v**2 - 13*v - 9. Let y be 7 + -1 + (-2)/(-1). Let c(i) = -3*i + 14. Let h be c(y). What is the remainder when 103 is divided by j(h)?
19
Let k be (-2 - 0)/((-22)/(-143)). Let w = 25 + k. Suppose -304 = -216*v + 200*v. What is the remainder when v is divided by w?
7
Suppose -5*z - 4*l - 7168 = 0, -5*z - 3*l = 7483 - 317. Let k = -992 - z. Suppose 7*u = 2*u + k. What is the remainder when u is divided by 30?
28
Let o = -20 - -49. Suppose -274*p - 3*t - 681 = -279*p, -3*t + 7 = -2. Calculate the remainder when p is divided by o.
22
Suppose 336*d - 194376 = 322*d. What is the remainder when d is divided by 124?
120
Let z be -28 + 33 + 0/2. Suppose -m = -5*r + 11, -z*m - 8*r = -3*r - 65. Calculate the remainder when 62 is divided by m.
8
Let t = -119 + 155. Suppose t = 6*s - 84. Calculate the remainder when 51 is divided by s.
11
What is the remainder when 7741 is divided by 55*(-9 - (-1029)/105)?
41
What is the remainder when -25*(106/3)/(93/(-9) - -7) is divided by 37?
6
Suppose -31 + 87 = -4*w. What is the remainder when 15 is divided by ((-180)/(-84))/((-2)/w)?
0
Let b(s) = -15*s - 81. Let w(c) = -c**3 - 11*c**2 + 11*c - 12. Let j be w(-12). Suppose j = 2*d - 3*d + 15. Calculate the remainder when d is divided by b(-6).
6
Let v(q) = 12*q - 28. Let w be v(4). Let t be (w/10)/(-2 + (-24)/(-9)). Suppose -85 = -t*d + 236. Calculate the remainder when d is divided by 9.
8
Suppose 0 = -3*u - 10*i + 7*i + 1950, -5*i + 666 = u. Calculate the remainder when u is divided by 320.
6
Suppose -9*n = -4*n - 1215. Suppose -n + 705 = 14*j. What is the remainder when j is divided by 7?
5
Suppose d = 6 - 2. Suppose -d*f = 0, -3*u + 7*u - 2*f = 44. Calculate the remainder when u is divided by 5.
1
Suppose u + 2*f - 16227 + 2174 = 0, -56184 = -4*u - 4*f. What is the remainder when u is divided by 65?
64
Let u(a) = 36*a**2 + 11*a + 34. Calculate the remainder when u(3) is divided by 27.
13
Let q = -2410 + 3346. Calculate the remainder when q is divided by 157.
151
Let w = 1416 - 1394. What is the remainder when 167 is divided by w?
13
Suppose 0 = -u + 1, 7*t - 4*t + 2*u = 1136. Suppose 2*b + t = 5*b. Calculate the remainder when b is divided by 50.
26
Let r = 8075 + -8032. What is the remainder when 857 is divided by r?
40
Suppose -99*j - 82*j + 25228 = 31*j. What is the remainder when 1780 is divided by j?
114
Let o(l) = 2*l**2 + 17*l - 198. What is the remainder when o(9) is divided by 60?
57
What is the remainder when 390 is divided by (-75)/4*(-968)/363?
40
Let r(x) = x