 1 o and 1 r.
8/105
Two letters picked without replacement from {b: 3, h: 1, o: 5}. What is prob of picking 1 b and 1 h?
1/12
Calculate prob of picking 3 p when three letters picked without replacement from ppip.
1/4
What is prob of picking 1 o and 2 m when three letters picked without replacement from {o: 5, m: 3, x: 4}?
3/44
Calculate prob of picking 1 r and 1 h when two letters picked without replacement from {c: 1, r: 2, h: 1, z: 2, x: 2, u: 1}.
1/18
What is prob of picking 1 b and 1 g when two letters picked without replacement from wsrgrsggwguwbsrgsw?
5/153
Two letters picked without replacement from {h: 2, y: 4, d: 1, i: 3}. What is prob of picking 1 d and 1 h?
2/45
Two letters picked without replacement from {g: 5, a: 5}. What is prob of picking 1 g and 1 a?
5/9
Two letters picked without replacement from msmss. What is prob of picking 1 m and 1 s?
3/5
Two letters picked without replacement from {a: 5, f: 9}. What is prob of picking 2 a?
10/91
Four letters picked without replacement from {t: 11, w: 5}. Give prob of picking 2 w and 2 t.
55/182
Calculate prob of picking 2 t and 1 f when three letters picked without replacement from ifitfiiitt.
1/20
Two letters picked without replacement from ggugpgupgxxgrpgggu. Give prob of picking 1 p and 1 x.
2/51
Calculate prob of picking 2 c when two letters picked without replacement from ckkgggcgccgkcccgkggc.
14/95
Calculate prob of picking 3 d and 1 t when four letters picked without replacement from {k: 5, l: 3, d: 3, e: 1, t: 8}.
8/4845
Two letters picked without replacement from yjcgwdcw. What is prob of picking 1 y and 1 d?
1/28
Two letters picked without replacement from {u: 3, m: 2}. What is prob of picking 2 m?
1/10
Four letters picked without replacement from eevedbvebeedveevevd. Give prob of picking 1 d, 1 e, and 2 v.
45/646
Two letters picked without replacement from {h: 1, l: 2, r: 1, i: 1, w: 2}. Give prob of picking 1 h and 1 w.
2/21
Four letters picked without replacement from ttqtqttttttttqqtttt. Give prob of picking 2 t and 2 q.
105/646
What is prob of picking 1 r and 1 c when two letters picked without replacement from {h: 2, r: 1, g: 1, c: 1, q: 2, s: 1}?
1/28
Calculate prob of picking 2 w when two letters picked without replacement from wdwwdwwwwwdwww.
55/91
What is prob of picking 1 w and 1 x when two letters picked without replacement from xxwwxwvxixxwwxxxxxw?
22/57
Three letters picked without replacement from nwwwagaanagww. What is prob of picking 1 g, 1 n, and 1 w?
10/143
Calculate prob of picking 2 q and 1 m when three letters picked without replacement from {m: 2, q: 9}.
24/55
Calculate prob of picking 1 v and 3 w when four letters picked without replacement from wwgwwwgvwvwngwnnv.
6/85
What is prob of picking 2 c when two letters picked without replacement from {c: 7, w: 3, u: 1, y: 3}?
3/13
Three letters picked without replacement from yyiffliilflily. What is prob of picking 2 y and 1 f?
9/364
What is prob of picking 4 e when four letters picked without replacement from {e: 10}?
1
Two letters picked without replacement from {w: 5, o: 2, x: 8}. Give prob of picking 2 w.
2/21
Two letters picked without replacement from dinwfdwlfnddd. Give prob of picking 1 f and 1 d.
5/39
Calculate prob of picking 1 z, 1 h, and 1 y when three letters picked without replacement from qhqyznnqjhn.
2/165
Calculate prob of picking 3 y when three letters picked without replacement from yyyyyyyyyy.
1
Two letters picked without replacement from xxxvppsxsi. Give prob of picking 2 s.
1/45
Four letters picked without replacement from yyyyyyyhyyyyyhyyhhyy. What is prob of picking 4 h?
1/4845
Three letters picked without replacement from {f: 4, q: 3}. What is prob of picking 3 f?
4/35
Four letters picked without replacement from {n: 16, w: 4}. What is prob of picking 2 n and 2 w?
48/323
What is prob of picking 1 d and 1 j when two letters picked without replacement from {x: 2, f: 2, k: 2, e: 1, j: 1, d: 4}?
2/33
Calculate prob of picking 1 h and 1 n when two letters picked without replacement from {h: 1, c: 3, a: 1, i: 2, n: 6}.
1/13
Calculate prob of picking 1 q and 2 l when three letters picked without replacement from {s: 1, q: 4, r: 2, l: 4}.
8/55
Three letters picked without replacement from ekfekwwww. Give prob of picking 2 e and 1 f.
1/84
Four letters picked without replacement from {b: 2, s: 1, o: 1, w: 3}. What is prob of picking 2 w, 1 o, and 1 b?
6/35
Two letters picked without replacement from lottlctomldd. Give prob of picking 2 t.
1/22
Two letters picked without replacement from ppppbbbppbbpebp. Give prob of picking 2 b.
1/7
Two letters picked without replacement from {u: 4, x: 1, q: 2}. What is prob of picking 1 u and 1 q?
8/21
Four letters picked without replacement from {z: 5, d: 11}. What is prob of picking 3 d and 1 z?
165/364
Three letters picked without replacement from ehfhhhnhnfhp. Give prob of picking 2 f and 1 h.
3/110
Three letters picked without replacement from iijiiijjiii. Give prob of picking 2 i and 1 j.
28/55
Two letters picked without replacement from {j: 2, t: 6, s: 2, b: 1, r: 3}. What is prob of picking 1 t and 1 j?
12/91
Two letters picked without replacement from ygga. What is prob of picking 1 g and 1 y?
1/3
Two letters picked without replacement from {y: 1, p: 1, a: 2, q: 1, s: 2}. Give prob of picking 1 a and 1 p.
2/21
Two letters picked without replacement from {u: 1, c: 6, m: 4, p: 5}. Give prob of picking 2 m.
1/20
Calculate prob of picking 1 z, 1 y, and 2 v when four letters picked without replacement from {v: 5, z: 1, y: 5}.
5/33
Calculate prob of picking 4 u when four letters picked without replacement from uujujuujuuuu.
14/55
Two letters picked without replacement from khazokkazakkkkhkkok. Give prob of picking 2 a.
1/57
Calculate prob of picking 3 b and 1 a when four letters picked without replacement from {a: 10, b: 10}.
80/323
Three letters picked without replacement from {n: 2, c: 1, t: 1}. Give prob of picking 2 n and 1 t.
1/4
What is prob of picking 2 c when two letters picked without replacement from {i: 5, c: 11}?
11/24
Two letters picked without replacement from {j: 3, z: 2, m: 4, s: 2}. Give prob of picking 1 m and 1 j.
12/55
Four letters picked without replacement from {j: 1, i: 1, w: 3, q: 1, o: 2, a: 5}. What is prob of picking 2 w, 1 o, and 1 a?
6/143
Four letters picked without replacement from {d: 5, k: 4, x: 1}. Give prob of picking 3 k and 1 x.
2/105
Four letters picked without replacement from qmmqqhrqwqww. Give prob of picking 2 w, 1 h, and 1 r.
1/165
Two letters picked without replacement from {h: 1, i: 3, t: 4, g: 7, w: 2, k: 1}. Give prob of picking 1 g and 1 t.
28/153
What is prob of picking 4 l when four letters picked without replacement from allalalallaaa?
3/143
What is prob of picking 1 s, 2 q, and 1 i when four letters picked without replacement from hnhhnsnhqsqhshsni?
1/595
What is prob of picking 2 k when two letters picked without replacement from {c: 4, w: 5, k: 5}?
10/91
Four letters picked without replacement from {r: 2, w: 1, e: 3, x: 1, h: 6}. What is prob of picking 2 h, 1 r, and 1 e?
18/143
Calculate prob of picking 2 k and 1 a when three letters picked without replacement from apyupkkpmamp.
1/110
Four letters picked without replacement from {d: 2, r: 1, h: 1, j: 4, u: 1}. What is prob of picking 1 u, 1 j, 1 h, and 1 d?
4/63
What is prob of picking 4 z when four letters picked without replacement from {z: 4, d: 3, u: 11}?
1/3060
Three letters picked without replacement from bkkkkkbkkkkukbkk. What is prob of picking 1 k, 1 u, and 1 b?
9/140
What is prob of picking 1 t and 1 s when two letters picked without replacement from {s: 5, z: 5, t: 2, d: 3}?
2/21
Two letters picked without replacement from {f: 1, v: 1, e: 1}. What is prob of picking 1 f and 1 e?
1/3
Three letters picked without replacement from {j: 3, l: 1, q: 3}. Give prob of picking 1 l, 1 j, and 1 q.
9/35
Four letters picked without replacement from {s: 2, y: 1, a: 4, e: 1, q: 3, i: 1}. Give prob of picking 2 q, 1 y, and 1 s.
2/165
Two letters picked without replacement from xxaxxayiiaixiaxzagx. What is prob of picking 2 i?
2/57
Calculate prob of picking 1 k and 2 s when three letters picked without replacement from shsshhkhhhkhsshk.
3/56
What is prob


q + 3. Let m(s) = -s + 3*s + 4 - 4*s. Let x be m(-10). Suppose 3*t = 3*f - x, -4*t - 4*f - 22 = -3*f. Give i(t).
-3
Let s(v) = -v**3 + 5*v**2. Suppose -5*g + 134 = -131. Let j = g - 38. Let z be 1/((-6)/(-2))*j. Determine s(z).
0
Let z be (-772)/(-965) - 16*1/(-5). Let k(x) = x**3 - 3*x**2 + 5*x + 3. Let r(f) = -f**2 - f. Let l(y) = k(y) + 2*r(y). Calculate l(z).
-1
Suppose 4*b - 5 = -3*l + 2*b, -4*l = -2*b + 12. Let m(c) be the second derivative of 9*c**5/20 - c**4/12 - c. Calculate m(l).
-10
Let m(q) = 30*q + 3. Let h(c) = -14*c - 1. Let a(j) = -13*h(j) - 6*m(j). Give a(6).
7
Let j(w) = -11*w - 16. Let t(l) = -4*l - 6. Let p(f) = 3*j(f) - 8*t(f). What is p(-3)?
3
Let y(x) = x - 3*x + x. Suppose 5*t - i - 20 = 0, -2*t - t - i = -4. Suppose -h = -t*h. Calculate y(h).
0
Let w be ((-3)/6 + -2)*2. Let v = -1 - w. Let x(l) = -4*l**2 - v*l**2 + 4*l**2 + 2*l**2. Calculate x(2).
-8
Let j(k) be the third derivative of -k**6/120 + k**5/12 + k**4/24 + k**3/6 - k**2 + 63*k. Give j(6).
-29
Let j be -2 - (4 - 2 - 4) - -9. Let u(g) = 12*g**2 - j*g**2 + 0*g**2 - 3 + 3*g + 0*g**2 + g**3. Calculate u(-3).
-12
Suppose 125*h = 122*h + 9. Let v(b) = -6*b + 2. Determine v(h).
-16
Let w(d) = 24*d - 12399 + 12399. Give w(1).
24
Suppose -39*g + 33 = -123. Let n(v) = 3*v - 5*v + v + 2. Let w(i) = -2*i + 1. Let j(m) = -4*n(m) + 3*w(m). Calculate j(g).
-13
Let t(o) = -o**3 - 9*o**2 - 14*o + 2. Let s be t(-7). Let x(m) = -4*m. What is x(s)?
-8
Let z(p) = -2*p + 24. Let f be z(9). Let j(v) = -v**3 + 6*v**2 - v + 8. What is j(f)?
2
Let l(c) = 3*c + 18. Let f be l(-14). Let g = 24 + f. Suppose -x - x + 12 = g. Let y(s) = s - 1. Give y(x).
5
Let j be (9 + -9)*(-1)/2. Let t(b) = 3*b + b - 3*b**2 + 9*b - 12*b + 4*b**2. Give t(j).
0
Let n = -966 + 970. Let k(o) be the second derivative of -1/6*o**3 + 0 - 2*o**2 + 1/12*o**n - 8*o. Give k(4).
8
Suppose 24 - 5 = -k - 2*r, -5*r = -k + 16. Let o(c) = -c**3 - 10*c**2 - 11*c + 6. Calculate o(k).
24
Let i(r) be the third derivative of 0 - 1/24*r**4 - 18*r**2 + 0*r + 3/2*r**3. Determine i(10).
-1
Let m(l) = -62*l - 53*l + 117*l + 2 + 4. Determine m(-6).
-6
Let k(m) = -m. Let f be (-528)/60*10/(-4). Suppose 2*c - c - 11 = 5*v, f = 2*c - 5*v. Suppose -5*d + c = -19. Calculate k(d).
-6
Let v(p) = -p**2 + 5*p - 1. Let a be v(5). Let i(n) = -n + 1 + 14*n - 5*n + 4*n**2 - 6*n. What is i(a)?
3
Let w(a) = -5*a**2 - a. Let c(t) = 3*t + 22. Let u(l) = -3*l - 23. Let g(x) = -6*c(x) - 7*u(x). Let v be g(-10). What is w(v)?
-4
Let u(d) be the first derivative of -d**2 + 7*d + 19. Let r be (-2)/4 - 11/(-2). What is u(r)?
-3
Suppose -32*p + 27*p + 5 = 0. Let h(g) = -4*g**2 + 2*g - 1. What is h(p)?
-3
Suppose 19 = 5*d + 44. Let f(j) = 6*j**3 + 13*j**2 - j - 7. Let h(t) = -5*t**3 - 12*t**2 + t + 7. Let z(q) = d*h(q) - 4*f(q). Give z(-8).
1
Let g = 64 - 64. Let k = g - -3. Let t(v) = 6*v - 2. What is t(k)?
16
Let r(a) = 27*a**2 + 20 + 0*a**3 + a**3 - 1 - 14*a**2. Determine r(-13).
19
Suppose -15 = 12*z - 7*z. Let b(q) = 2*q**3 + 4*q**2 + 3. Calculate b(z).
-15
Let t(d) = -2*d**3 - 23*d**2 + 13*d - 15. Let s(c) = 2*c**3 + 21*c**2 - 12*c + 13. Let z(j) = -5*s(j) - 4*t(j). Determine z(-7).
-12
Let q(s) = 2*s - 5. Let l be (1596/1463)/(2/11). Determine q(l).
7
Suppose -6372 = -10*b - 6332. Let z(s) be the first derivative of b*s**2 + 3 + s - 1/3*s**3. What is z(7)?
8
Let b(a) = -a + 4. Suppose -3*c = u + 7 - 35, 4*c = -3*u + 44. Give b(c).
-4
Let d(t) = 5*t - 15. Let z(g) = g - 3. Let v(n) = -2*d(n) + 11*z(n). Suppose l - 20 + 0 = 0. Suppose -20*x = -15*x - l. What is v(x)?
1
Suppose -21*k + 23*k + 6 = 0. Let g be k/7 - 532/(-98). Let q(a) = a**2 - 3*a - 6. What is q(g)?
4
Let o(m) be the first derivative of -m**4/4 - 7*m**3/3 + 5*m**2 - 7*m + 52. What is o(-8)?
-23
Let l(a) = -a**2 + 6*a. Let v(w) = 13*w - 23. Suppose 2*p + 6 = 2*u, -4*u - 13 = -4*p - 5*u. Let q be v(p). Determine l(q).
9
Let x = -14 + 17. Suppose z = x*z - 4. Let p(q) = 10*q**2 + q - 13*q**z + 3 + 10*q**2 + q**3. Give p(-7).
-4
Suppose m + 4 + 0 = 5*o, 3*o + 20 = -5*m. Let l(x) = o*x - x - 8 - x. Let g be 1*(-6)/(3 - 2). Determine l(g).
4
Let u be 2 + 30 + (-8 - -3). Let a = u + -28. Let z(q) be the second derivative of -13*q**3/6 - q**2/2 - 2*q. Determine z(a).
12
Let k(u) = 5*u**3 - 5*u - 13*u**3 + 7*u**2 + 7*u**3 - 4. Let g(l) = -l**3 + 7*l**2 - 5*l - 3. Let f(v) = 6*g(v) - 5*k(v). Give f(6).
8
Let w(q) = -1115*q + 1 + 1116*q + 1. Determine w(9).
11
Let h be 1 + ((-16)/10)/((-12)/30). Suppose 3*v - h*a = 14, a + 9 = -3*v - 1. Let j(p) = 4*p + 3. Determine j(v).
-5
Let w = -18 - -20. Let p(u) = 4 + 4*u**2 + 2*u**w - 4*u**2 - u**3. Determine p(3).
-5
Let o = -958 + 949. Let r(y) = y**3 + 8*y**2 - 7*y + 8. Determine r(o).
-10
Suppose 19 - 17 = -2*s. Let y be (16 + (-1 - 5))*s/2. Let g(v) = v**2 + 3*v. What is g(y)?
10
Let z(m) = -m**2 + 4*m - 2. Let i(n) = n**3 - 8*n**2 + 14*n - 7. Let f be i(6). Suppose -f*y - 30 = -h, -y - 15 = 2*y. Determine z(h).
-7
Let z(t) be the second derivative of -t**5/20 + 5*t**2 - 334*t. Calculate z(0).
10
Let n(a) be the first derivative of -a**4/4 + 2*a**3 - 2*a**2 + 2*a - 149. Let g(w) = -w**2 + 6*w - 3. Let k be g(4). Determine n(k).
7
Suppose -8*c + 4*c + 16 = 0. Let n(m) be the second derivative of m**5/20 - 5*m**4/12 + 2*m**3/3 + m**2 + 2*m. Determine n(c).
2
Suppose 11*r - 28 = 4*r. Suppose d + h = -r, -12 = 2*d - 4*d + 3*h. Let j(b) = b**3 + b**2 - b + 2. Calculate j(d).
2
Let d(y) be the first derivative of -y**4/4 + 7*y**3/3 + 7*y**2/2 - y - 22. Determine d(8).
-9
Let k(m) be the third derivative of m**6/120 - m**5/10 - 3*m**4/8 + m**3/6 - m**2. Let w(l) = -l**2. Let z(o) = k(o) - 2*w(o). Give z(6).
19
Let h = -19 + 23. Suppose -1 = -r - 2*p + 5, 0 = 4*p - h. Let s(o) = 5*o - 3*o + r*o - 2*o**2 + 3 + o**2. Give s(5).
8
Let m(g) = -g - 3. Let u(d) = -3*d + 1. Let v be u(3). Calculate m(v).
5
Let r = -117 - -123. Let j(k) = 10 + k**3 + 0*k**2 + 2*k**2 - 2 - k. Let g(m) = m**3 + 3*m**2 - m + 9. Let o(t) = r*j(t) - 5*g(t). Give o(3).
0
Let f be 1 + 16/(-18) + (-85)/(-45). Let t(z) = 9 + 18*z**f + z**3 - z - 39*z**2 + 12*z**2. Calculate t(9).
0
Let y(q) be the first derivative of q**3/3 - 5*q**2 - 5*q + 433. Calculate y(10).
-5
Let m(h) = 3*h + 622 - 625 + 3*h. Give m(4).
21
Let m be ((-108)/3)/4 - -8. Let l(g) = 2*g - 6*g + 3*g + 1. Calculate l(m).
2
Let j(a) = -2 - 15 - 11*a**2 + 6*a + 5*a**2 + 7 - a**3. Calculate j(-7).
-3
Let c be (2/(-4))/(-2 - (-11)/6). Let y(h) = 1 - c + h + 3 - 4. Let r = 9 + -1. Give y(r).
5
Let r(i) = i**2 + i - 7. Suppose 4*z = -5*u, 4*z - 26 - 10 = 4*u. Let y(q) = q**3 + 3*q**2 - 4*q + 2. Let v be y(u). Suppose v*c = -3*c. Determine r(c).
-7
Let f(m) = m**2 - 4*m - 5. Suppose 2*n + 0 = -v + 5, -v = -n + 4. Suppose -3*w - n + 18 = 0. Calculate f(w).
0
Suppose p + 35 = 8*p. Let r(k) = -7*k + 31. Let n be r(p). Let w(o) = -o**2 - 2*o + 2. Give w(n).
-6
Let t be ((-2)/(-4))/(1/96). Let g be t/9 + (-2)/(-3). Let p(h) = -g*h + h + 3 + 6*h. Determine p(-7).
-4
Let j be 3*(-5)/(-20) - (-979)/44. Let n(d) = d**3 - 24*d**2 + 21*d + 39. Calculate n(j).
-7
Let q(o) be the second derivative of o**5/20 - 7*o**4/6 - 5*o**3/2 - 4*o**2 - 51*o + 1. Determine q(15).
-8
Let y(c) = c**3 - 4*c**2 + c + 4. Suppose -19*j + 66 = 3*j. Give y(j).
-2
Let o = 162 - 160. Let l(r) = 2*r**2 - 3*r + 2. Determine l(o).
4
Let m(p) = 13*p**3 + 4*p**2 + 7*p - 10. Let q(h) = -2*h**3 - h**2 - h + 1. Let l(i) = m(i) + 6*q(i). Give l(3).
8
Let i = 184 - 185. Let x(t) = 2*t**2 - 1. Let c(v) = v - 4. Let f be c(5). Let y(j) = j**2 + j - 1. Let q(u) = f*x(u) + i*y(u). Determine q(-2).
6
Let r(t) = 11*t**2 - 16 - 6*t + 14*t - t**3 + 5*t. Determine r(12).
-4
Let l(h) be the first derivative of -h**4/4 + 2*h**3 - 4*h**2 + 7*h + 156. Determine l(5).
-8
Let l(m) = 3*m + 12. Suppose 2*b = 2*q + 16, -2*q + 23 = 4*b + 39. What is l(q)?
-12
Suppose 0*l + d = 2*l - 10, -4*l + 6 = 5*d. Suppose 0 = -0*m - l*m + 12. Let v(n) = 2 + 0*n - n**m + 299*n**2 - 2*n - 305*n**2. Determine v(-5).
-13
Let u(y) = 2*y - 7 + y + 5 - 7. Let c = -99 + 105. What is u(c)?
9
Let u(m) = -3*m**2 + 5*m - 1. Let a(i) = -i**2 + i - 1. Let p(f) = -2*a(f) + u(f). Let q(j) = j**2 + 8*j + 2. Let y be q(-6). Let z = y + 14. Calculate p(z).
-3
Let m(f) = -11*f**2 - 2*f**3 + 9*f**2 + 5*f - 3*f. Calculate m(-


Solve -n = -4*z + r, 6 = -2*n + 4*z - 10 for n.
0
Suppose -2*c = -p - 4, -5*c + 4*p + 10 = 2*p. Let o be (-47)/(-4) + ((-132)/(-16))/(-11). Suppose -3*t = c - o. Solve -7 + 2 = t*h + f, -5*h - 7 = 3*f for h.
-2
Let n be 24/14*(-7)/(-2) + -3. Let j(l) = -l + 2. Let k(v) = -v + 10. Let f be k(9). Let a be j(f). Solve 0 = -b + n*y - 6, 3*y - 2 = a for b.
-3
Let y = 3 + 0. Suppose -20 = -y*m - 2*m. Solve s = -2*q + 13, 5*q + m*s = q + 32 for q.
5
Let n be (-4)/(-16) - (-14)/8. Let w be 26/8 + (-3)/12. Solve i = -2, -n*s - s + w*i = 3 for s.
-3
Let n(g) = 2*g**2 + 4*g + 12. Let q be n(-3). Solve 4*x + 14 = 4*o + 5*x, -4*o + x + q = 0 for o.
4
Let n be 14/4 - 7/(-14). Solve -n*j - 8 = -k + 3*k, 0 = 4*j - 3*k + 28 for j.
-4
Let b be (-2)/(-10) - 27/(-15). Let n be (-44)/242 - 70/(-22). Solve m - b*r + 2 = 0, 12 = m + n*m + 2*r for m.
2
Let f(v) = -3*v + 2. Let c(l) = -2*l + 2. Let x(g) = 6*c(g) - 5*f(g). Let t be x(2). Suppose 0*r + t = 4*r. Solve z + 0*b = -5*b + 11, r*b = -5*z + 9 for z.
1
Let u = -19 - -41. Solve 0*v = -5*v - b + u, 4*v + 2*b = 14 for v.
5
Suppose 0 = 6*j - 7*j + 4. Suppose 0 = 3*i - 9 - 0. Let z = -2 - -22. Solve o + 4 = 5*v, -o - z = j*o + i*v for o.
-4
Let g be 25/10 - (-1)/(-2). Suppose 3*n = -4*b + 35, n - 3 - g = 0. Solve r - b*s - 16 = 3*r, -5*r - 2*s = -2 for r.
2
Let j(z) = 3*z**2 - z - 2*z - 5 + 7. Let u be j(1). Solve -m = -0*x - 4*x - 3, u*x = 2*m - 6 for m.
3
Let j(i) = -i**3 + 6*i**2 - 6*i + 6. Let c be j(5). Suppose 4*f - 9 = -c. Let w(m) = m + 4. Let a be w(0). Solve a = y + 1, f*d + 5*y = 9 for d.
-3
Suppose 5*l + 15 = 40. Solve 2*u - 14 = -3*y, -3*y + 19 = l*u + 2 for u.
1
Let b = 1 + 1. Solve -5*y = -5*n + 10, 4 - b = -y - n for y.
-2
Let w be 11140/(-14) + 2/(-7). Let f be w/(-18) - 4/18. Suppose 3*m - 6*x - 32 = -x, m - f = -5*x. Solve m = -2*p + 4*p + 3*v, 5*p = -4*v + 30 for p.
2
Suppose 0 = -2*o - 5*h - 14, -2*h - 1 + 2 = 3*o. Solve -3*w + 3 = 0, -i - 5*w = o*i + 15 for i.
-5
Suppose 20 = 6*b - b. Let g(m) = m**3 + 4*m**2 + 4. Let l be g(-3). Suppose -5*y + l + 2 = 0. Solve -y*w = 0, 4*x - w - b = w for x.
1
Suppose -q = -4*q + 15, -3*q + 15 = -3*g. Suppose 5*o + 0*j - 6 = -4*j, g = 4*j + 4. Solve -4*b - o*a = -28, -11 = -2*a - 3 for b.
5
Let a be ((-18)/(-10))/(6/20). Let y(h) = h**3 - 4*h**2 - 10*h + 8. Let x be y(a). Solve -x = -5*i - g - 2*g, -3*g = -2*i - 13 for i.
1
Let y be (-1)/(-3) + (-2)/6. Suppose y = -4*q + 7 - 19. Let o be ((-1)/q)/(2/18). Solve 3 = -j, 0*m + m + 6 = -o*j for m.
3
Let q(r) = -r**3 + 5*r**2 - 4*r. Let t be q(4). Solve t = -4*a + 2*n + 20, 0 = -0*a + 5*a + 5*n - 25 for a.
5
Suppose -39 + 84 = 3*q. Let t = -1 - -1. Solve t = -5*h - i - q, h + i + 4 - 5 = 0 for h.
-4
Suppose -5*s - 4*c = -100, -3*s + 5*c - 27 = -87. Solve 0 = 5*b - u + 8, 0 = b - 6*b - 5*u - s for b.
-2
Let d be (2 - 0)/(2/3). Suppose 0 = d*y + y - 8. Suppose -y = x - 7. Solve 3*g - 2*t + t = -10, 3*g = -x*t - 4 for g.
-3
Suppose -3 - 1 = -4*b. Let t be 3/b - (-3 - -3). Suppose h + 12 - 41 = 0. Solve -2*f + h = -5*d + f, 0 = -2*d - t*f + 1 for d.
-4
Let u be 2/(-4)*1*-10. Suppose 0 = -u*o + 18 + 2. Solve -g = 3*l - l - 1, g = o*l + 7 for g.
3
Suppose 2 = -d + x, 4*x - 12 = d + d. Solve -2*t + z + d*z = 20, 0 = -5*t + 2*z - 28 for t.
-4
Let d = -6 + 11. Suppose -3*a - t + d = -3, -2*a + 10 = -4*t. Let n be -2 + -3 + 3 + 0 + 4. Solve n = r, a*b + 4*r = -5 + 19 for b.
2
Let b = 19 + -16. Solve 2*a - 4*s = 8, 3*a - 13 = b*s - 1 for a.
4
Let a(n) = 5*n**2 + 2*n. Let g be a(2). Solve -3*c + 3*i + i = -g, 2*c - 2*i = 14 for c.
4
Let p = -9 + 12. Solve -n - n = 4*z, -p*n = 4*z for z.
0
Let m(n) be the second derivative of n**4/12 + 2*n**3/3 + 3*n**2/2 - 6*n. Let s be m(-4). Solve -4*k = -4*p - p + 10, s*k - p + 2 = 0 for k.
0
Let l be (24/15)/((-4)/(-30)). Solve 5*v - l = q, 5*q - 40 + 13 = -4*v for q.
3
Let q(a) = -a**3 - 5*a**2 + 4*a + 5. Let x be q(-4). Let k be 3*-3*6/x. Solve 2*w - 2 = k*y, 2*y = 7*y + 2*w + 26 for y.
-4
Let m = 6 - 2. Suppose 0 = -q + 5*v - 20, -m*v = -q - 10 - 5. Solve -3*h - k = -2*h + 8, -16 = q*h - 3*k for h.
-5
Let c be 3/6 - (-103)/2. Let b be 1/(-1) - c/(-13). Let s = 13 + -9. Solve s*z + 6 = 3*l, -b*z - 1 - 10 = l for l.
-2
Suppose -6 = 7*i - 20. Solve 14 = -5*r + r + 5*j, 0 = -i*r - 2*j + 2 for r.
-1
Let z be 0/(-2) - (9 + 1). Let c = 15 + z. Solve 3*y = -y + c*g - 33, -5*y + 3*g - 25 = 0 for y.
-2
Let y be (-1)/((-16)/12 - -1). Solve 2*i - 4*r + 10 = 0, 20 = -i - y*i - 4*r for i.
-5
Let h be 8/6*(18 - 15). Solve h*y - 4*o = 4, -2*y + 0*o = 2*o - 6 for y.
2
Let p(k) = -k + 6. Let w be p(6). Suppose -31 = -6*a + 53. Let h(c) = 5*c**3 + c - 1. Let v be h(1). Solve y - 4*z = a, w*z - 1 = -v*y - 3*z for y.
2
Suppose -2*x + 7*n + 8 = 3*n, -4*x + 3*n + 16 = 0. Let j be ((-3)/2)/((-2)/x). Solve -2*d = -m - j, -3*m + 0*d = -3*d for m.
3
Suppose -l - 9 = -4*l. Solve -17 = -c - l*w, 0 = 2*c - 4*w + 14 + 2 for c.
2
Suppose o = 6*o - 45. Solve v - 3*x = -1, -2*v = -v + 5*x + o for v.
-4
Let s be 30/(-9)*1*6/(-4). Solve -7 = 3*w + s*o, 3*o - o + 1 = -3*w for w.
1
Let s(i) = 17*i - 1. Let w be s(1). Let d = 8 - 65. Let l = 82 + d. Solve 0 = -0*p - 2*p + 3*u - w, 0 = 3*p - 5*u + l for p.
-5
Suppose 16 = 15*y - 7*y. Solve -h + 5 = -2*l, l + 0*l + 1 = y*h for l.
-3
Suppose -8 = 2*z - 6*z. Let a(t) = t**3 - 2*t**2 - t. Let f be a(z). Let y be 3/(-3) + 43 + f. Solve -5*x + y = -3*j, -2*j + 3*j + 20 = 3*x for j.
-5
Let z(j) = -j - 10. Let c be z(-7). Let k be (c/4)/((-4)/16). Solve -5*h + k*h - 22 = 4*v, 3*v + h + 16 = 0 for v.
-5
Suppose -f - 10 = -b, 3*f = 4*b - 0*f - 36. Let i = b + -4. Solve -i*d - 1 = -c, 2*d + d - 2*c + 3 = 0 for d.
1
Suppose 3*h - 6 = 6. Let u be 184/6 - (-5)/15. Solve -h*b = -3*w - u, -w + 3*b = -0*w + 17 for w.
-5
Let p(c) be the third derivative of c**5/60 + c**4/12 + c**3/3 - 4*c**2. Let s be p(-2). Solve s*h - 2 = -10, 0 = 2*x - h - 6 for x.
1
Suppose 4*z + 15 = 3*b - 0*b, -4*b + 20 = 3*z. Suppose b*w + 2*p = -2, 0*p + 2*p + 2 = -2*w. Solve 3*n + 10 = -w*i - i, 0 = -4*i + 8 for n.
-4
Let y be 4/(12/(-3))*-11. Suppose 5*r - 18 = -x + 7, -r = -3*x + y. Solve 4*v - x = 3*u, 0*v - 15 = -2*v - u for v.
5
Let g be (8/(-12))/((-3)/9). Solve -5*l - 4*d + 0 - 21 = 0, 0 = 5*l + g*d + 23 for l.
-5
Let p(x) = 6*x - 10. Let f be p(2). Solve -m - 5*i = -7, f*i - 3*i = -1 for m.
2
Let m = -59 + 64. Suppose -4*d + 12 = -d. Suppose -3 = 4*l - 11. Solve l + 10 = d*c, 3*c = -m*u - 6 for u.
-3
Suppose -s - 1 = 0, 0 = 2*d + 3*s - 0*s - 1. Solve -23 = 5*x - q, d*x - 7 = q - 6*q for x.
-4
Let v = 7 - 3. Suppose 2*t = 5*c - 36, c - 18 = 3*t + t. Suppose 2*u + u - 6 = 0. Solve -c = n + n - 5*d, 0 = -u*d + v for n.
2
Let b = -11 - -11. Let p = 9 - 7. Solve 5*r - u + 7 = b, 0*u - 2 = 4*r - p*u for r.
-2
Suppose -4*w = -w. Suppose -5*c + w*c = -50. Solve 0 = m - 6*z + z - c, -2*z - 11 = m for m.
-5
Let y = -10 + 33. Let l be (6/12)/((-2)/(-4)). Let x = 6 - l. Solve x*r - 2 = 4*t - y, -4*r = t for r.
-1
Let r = -47 - -107. Suppose -2*z = 2*z - r. Suppose 4 = 2*g, -8*l + 3*l + 5*g = -z. Solve 0 = 3*k - i + l, -2*i = -4*k - 4*i for k.
-1
Suppose 3*z - 25 - 41 = 0. Solve 4*w + a = -4*a - 35, -4*a = 2*w + z for w.
-5
Let z(d) = d + 2. Let v be z(0). Suppose 0 = 5*j - v - 3. Let q be 2/(j - (3 + -3)). Solve 5*n - 3*u + u = 7, q*n + 2*u = 14 for n.
3
Let m be 14/21*(-18)/(-4). Suppose 0 = g - u - 8, -g - 3*u + 9 = -m. Solve -g = -v + p - 0*p, -p = v + 1 for v.
4
Suppose 3*i - 42 - 3 = 0. Suppose -3*x + i = -0*x. Solve x*t - 5*g = 0, -5*t + 0 = g + 6 for t.
-1
Suppose -5*d - 3 + 3 = 0. Solve -3*p + 5*w + 7 = d, -p = 4*w - 8 - 0 for p.
4
Let d = 39 + -20. Let s = d + 11. Solve 11 - s = f + 4*x, 20 = -5*x for f.
-3
Let p = 54 - 52. Solve 8 = 3*l - 2*b - 2, 3*l + p*b = -10 for l.
0
Suppose r - 3*f - 2 = 0, -r + 0*f = 2*f - 2. Solve -y = -2*g + 1, -4*g = -2*g + r*y + 2 for g.
0
Let m(t) = t - 9. Let p be m(4). Let r be -2 + -4 + 3 - p. Solve 4*g = r*s - 14, 6 = g - 3*s + 2 for g.
-5
Let o(c) be the second derivative of -c**3/6 + 5*c**2 - 2*c. Let h be o(8). Solve 0 = -b, -p + 4*b + h = -0 for p.
2
Let b(n) = -n**2 - 5*n + 6. Let f be b(-5). Let u be (-51)/(-15) + (-2)/5. Let i be u - (0 - -1 - 0). Solve 4*t + 33 = -t + 2*w, -i*t - f = w for t.
-5
Suppose 2*w - 8 = -0*w. Suppose -2*c - n - 2*n + 18 = 0, -c - w*n + 14


g 2 d?
1/136
Calculate prob of picking 1 k, 1 j, and 1 s when three letters picked without replacement from {s: 1, k: 1, c: 2, j: 6, t: 2}.
3/110
What is prob of picking 1 p and 3 z when four letters picked without replacement from pzzzppzz?
3/7
Two letters picked without replacement from {g: 8, h: 8, a: 1}. Give prob of picking 2 h.
7/34
Three letters picked without replacement from vvvvvtvtvvtvvvvtvv. What is prob of picking 3 t?
1/204
What is prob of picking 2 n and 2 h when four letters picked without replacement from hnhnnhhnnnhhnnnh?
27/65
Two letters picked without replacement from {c: 1, z: 8, g: 4, l: 2}. What is prob of picking 1 l and 1 g?
8/105
Three letters picked without replacement from xxexbbxex. What is prob of picking 1 b and 2 x?
5/21
Two letters picked without replacement from {y: 2, l: 5}. Give prob of picking 1 l and 1 y.
10/21
Four letters picked without replacement from {c: 1, l: 1, b: 4, k: 4, g: 5, x: 4}. Give prob of picking 1 c, 1 g, and 2 x.
5/646
Calculate prob of picking 1 i and 1 x when two letters picked without replacement from vixiviivliiiiliiv.
5/68
What is prob of picking 2 i, 1 h, and 1 c when four letters picked without replacement from hzeizieeehihcecehe?
2/255
What is prob of picking 1 y, 1 g, 1 s, and 1 j when four letters picked without replacement from igjys?
1/5
Three letters picked without replacement from {o: 1, p: 1, l: 1, x: 1, t: 1}. Give prob of picking 1 t, 1 x, and 1 l.
1/10
What is prob of picking 2 b when two letters picked without replacement from {k: 6, b: 6}?
5/22
Calculate prob of picking 1 e, 2 j, and 1 h when four letters picked without replacement from bjjhejb.
3/35
Calculate prob of picking 2 u when two letters picked without replacement from uuujju.
2/5
Two letters picked without replacement from dqxx. Give prob of picking 1 x and 1 q.
1/3
Calculate prob of picking 1 b, 1 o, and 1 v when three letters picked without replacement from {o: 1, x: 1, f: 1, v: 1, w: 2, b: 1}.
1/35
Three letters picked without replacement from vtvtvktykttyyyt. What is prob of picking 2 y and 1 k?
12/455
Two letters picked without replacement from {n: 7, f: 3, u: 4}. Give prob of picking 1 n and 1 u.
4/13
What is prob of picking 2 f when two letters picked without replacement from {f: 2, j: 1}?
1/3
Two letters picked without replacement from {w: 1, o: 1, g: 2, v: 2, a: 6, u: 8}. Give prob of picking 1 v and 1 a.
6/95
Two letters picked without replacement from mzcnx. Give prob of picking 1 x and 1 z.
1/10
What is prob of picking 2 h and 1 j when three letters picked without replacement from kjhkhjhhkhhhk?
21/143
Three letters picked without replacement from sfssosfsffs. What is prob of picking 2 s and 1 f?
4/11
What is prob of picking 4 h when four letters picked without replacement from {t: 3, h: 5}?
1/14
Two letters picked without replacement from tttvttttvttttttv. What is prob of picking 2 v?
1/40
What is prob of picking 1 q, 1 k, and 1 s when three letters picked without replacement from kqkiiisswksdkwwik?
3/136
Two letters picked without replacement from pybrprrmrbb. What is prob of picking 1 m and 1 r?
4/55
Three letters picked without replacement from pqqeppqeqp. Give prob of picking 3 q.
1/30
Calculate prob of picking 2 l and 2 y when four letters picked without replacement from {d: 4, w: 1, y: 1, a: 1, l: 1}.
0
What is prob of picking 1 z and 1 b when two letters picked without replacement from {d: 2, c: 1, x: 1, z: 7, k: 2, b: 1}?
1/13
Calculate prob of picking 2 o and 2 i when four letters picked without replacement from mmbiobioiiiom.
6/143
Two letters picked without replacement from lktktltktttt. Give prob of picking 2 t.
7/22
Four letters picked without replacement from {m: 6, i: 4, z: 9}. Give prob of picking 1 m and 3 i.
2/323
Four letters picked without replacement from {u: 6, o: 4, n: 1}. What is prob of picking 2 u, 1 o, and 1 n?
2/11
Calculate prob of picking 1 t and 1 a when two letters picked without replacement from {u: 2, t: 1, v: 2, h: 1, p: 1, a: 1}.
1/28
Three letters picked without replacement from wjpwmrjwmjap. What is prob of picking 2 w and 1 m?
3/110
What is prob of picking 1 c and 1 k when two letters picked without replacement from jckljjjcljjjljjcjkj?
2/57
Two letters picked without replacement from {b: 2, p: 2, n: 7, a: 1, y: 3, h: 5}. Give prob of picking 1 b and 1 n.
7/95
What is prob of picking 1 p, 1 n, 1 k, and 1 j when four letters picked without replacement from {k: 2, p: 1, n: 2, j: 1, s: 1}?
4/35
Three letters picked without replacement from {e: 2, t: 1, f: 1, b: 2}. Give prob of picking 1 t, 1 e, and 1 f.
1/10
Four letters picked without replacement from {b: 10}. Give prob of picking 4 b.
1
Three letters picked without replacement from lkkkcrycrc. What is prob of picking 1 r and 2 k?
1/20
What is prob of picking 2 u and 1 a when three letters picked without replacement from uuauauauuaaauuaaauaa?
33/95
Calculate prob of picking 3 f and 1 i when four letters picked without replacement from iffiffiifiifiifi.
9/52
Four letters picked without replacement from {h: 2, o: 5}. What is prob of picking 4 o?
1/7
What is prob of picking 2 w when two letters picked without replacement from esewseewf?
1/36
What is prob of picking 1 c and 2 u when three letters picked without replacement from {c: 1, a: 1, u: 4, q: 2, d: 2, s: 2}?
3/110
Calculate prob of picking 1 c and 1 i when two letters picked without replacement from {c: 4, i: 6}.
8/15
Two letters picked without replacement from {x: 1, f: 2, h: 1, c: 1, k: 2, t: 1}. Give prob of picking 2 k.
1/28
What is prob of picking 1 t and 1 k when two letters picked without replacement from kttzt?
3/10
What is prob of picking 1 p, 1 i, and 1 r when three letters picked without replacement from {k: 1, j: 1, i: 1, e: 2, p: 1, r: 2}?
1/28
What is prob of picking 1 y and 3 z when four letters picked without replacement from yzyyzyz?
4/35
What is prob of picking 3 v when three letters picked without replacement from bbvvvbb?
1/35
Two letters picked without replacement from {b: 2, u: 3, i: 3, j: 1, k: 4, s: 2}. Give prob of picking 1 j and 1 s.
2/105
Three letters picked without replacement from {e: 3, f: 1, m: 2, w: 1}. Give prob of picking 2 m and 1 w.
1/35
Calculate prob of picking 1 n, 1 q, and 2 b when four letters picked without replacement from {n: 2, q: 7, f: 1, b: 4, c: 4}.
7/255
Four letters picked without replacement from {m: 16, x: 4}. Give prob of picking 4 m.
364/969
Two letters picked without replacement from ylylyyylly. What is prob of picking 2 y?
1/3
What is prob of picking 2 k when two letters picked without replacement from {k: 2, i: 9}?
1/55
Two letters picked without replacement from {j: 3, x: 3, r: 2}. What is prob of picking 2 j?
3/28
Three letters picked without replacement from bybbqvvab. What is prob of picking 1 v, 1 q, and 1 a?
1/42
Two letters picked without replacement from {r: 5, m: 1, l: 1, w: 2}. What is prob of picking 2 r?
5/18
Two letters picked without replacement from aaaakaaaaayaaakkayaa. What is prob of picking 1 k and 1 y?
3/95
Three letters picked without replacement from yyiyyyyiyiiyi. Give prob of picking 1 i and 2 y.
70/143
What is prob of picking 1 q and 1 w when two letters picked without replacement from bqbwviiibibbbrbqqbqv?
2/95
Four letters picked without replacement from {c: 7, r: 1}. Give prob of picking 1 r and 3 c.
1/2
Four letters picked without replacement from mcsmmmhqmmd. What is prob of picking 2 m, 1 c, and 1 s?
1/22
Three letters picked without replacement from urrguuggxusvrgxrvusu. Give prob of picking 1 s, 1 x, and 1 g.
4/285
What is prob of picking 1 a, 1 v, and 1 p when three letters picked without replacement from ooarpkoavakarpo?
8/455
Calculate prob of picking 2 r and 1 n when three letters picked without replacement from mkgngkmgmknrnrnnn.
3/340
Three letters picked without replacement from {y: 1, h: 4, o: 1, e: 6, b: 1}. What is prob of picking 2 e and 1 b?
15/286
Two letters picked without replacement from vvtvvftc. Give prob of picking 1 f and 1 c.
1/28
Two letters picked without replacement from {h: 17, w: 1}. What is prob of picking 1 w and 1 h?
1/9
Two letters picked without replacement from ppdpddpppppppdpdpp. Give prob of picking 2 p.
26/51
Calculate prob


076
What is the next term in -5460187, -10920369, -16380551?
-21840733
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-245150
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-18278057
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-21811834
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1281308
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-311046
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1034913
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-3557
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18304
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-58181
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-2662588201
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-7679
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807791
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37794
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1497658
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-48511
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-22892
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-14463
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-379098
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92035
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735297
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212443
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1071570
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-345372733
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70718
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120023
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-933258
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-226756
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523733
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-19331
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-163258
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-62278
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18151072
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285963
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-65595
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20681121
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-821309
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243181799
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-70688
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17125
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-51795
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10865
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-140687
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88303
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-28667
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442901
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-162931
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104473
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1226
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-185027
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9010853
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-181186
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-430789
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-82636
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-2065436
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23371
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-604571
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96834
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113275
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-21464
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851082
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2709
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-57834
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-110815369
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20029423
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-42849348
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21449642
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-114032
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130103938
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-180045
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312079033
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-561185
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87544
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19245
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-94741
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-98232
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55297503
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507169
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15182928
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8309
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4343197
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697626
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269208
What is the next term in 99244,


= 85*c**3 - 17*c. Let q(d) = -5*d**2 + 2*d + 22. Let g be q(3). Calculate g*u(m) + 3*y(m).
17*m**3
Let o(n) = -n. Let h(z) = 3*z - 6. Let r be h(-6). Let u(f) = 20*f. Let d be (-144)/(-30) - 5 - 16/20. What is d*u(p) + r*o(p)?
4*p
Let h(i) be the second derivative of i**3/6 - 116*i. Let r(q) = 7*q + 1. Calculate -3*h(t) + r(t).
4*t + 1
Let x(g) = -9*g**3 + 5*g**2 - 4*g - 7. Let f(b) = 4*b**3 - 2*b**2 + 2*b + 3. Let r(l) = -l**2 + 5*l + 19. Let j be r(-3). Determine j*f(n) - 2*x(n).
-2*n**3 - 2*n - 1
Let t(z) = -31*z - 52. Let o(s) = -11*s - 17. What is 17*o(u) - 6*t(u)?
-u + 23
Let y(u) be the second derivative of -u**3/2 - 2*u**2 - 15*u. Let g(i) = -3*i - 5. Give 2*g(l) - 3*y(l).
3*l + 2
Let m(u) = -2*u + 2. Let y(b) = -b - 1. Let g be 18/99 + (-126)/(-33). Suppose 4*w + 5*f = -8, -2*w - g*f + 0 = 4. Determine w*y(s) - m(s).
4*s
Suppose -5*v = 2*i - 6, 4*v + 2*i - 5*i = 14. Let c(u) = -282*u**2 + 142*u**v + 141*u**2. Let k(l) = -2*l. What is 3*c(o) + k(o)?
3*o**2 - 2*o
Let z(h) = -4*h**3 - 2*h**2 + 2. Let y(q) = 5*q**3 + 3*q**2 - 3. Let j be 4 + (4 - 20) + 3. Let g be 19/(-6) - j/54. Give g*z(k) - 2*y(k).
2*k**3
Let k(t) = -t**2 + t + 1. Let h(m) = 1128*m**2 - 141*m - 141. Calculate h(n) + 141*k(n).
987*n**2
Let i(o) = -5*o**2 + o + 5. Let d(l) = -l**2 + 1. Let u be 1*14 + (-13 - -9). Suppose -2*n = -0 + 36. Let r be (-4)/u + n/30. Give r*i(k) + 4*d(k).
k**2 - k - 1
Let z(t) = 4*t**2 - 7*t - 7. Let m(q) = -2*q**2 + 4*q + 4. Suppose 9*j - 2*j = 14. Let a(v) = 0*v - j + 0 - 2*v + 4. Let h be a(-1). What is h*z(n) + 7*m(n)?
2*n**2
Suppose -9*j = 8*j - 1326. Let o(z) = -4*z**3 + 2*z**3 + 4*z + 81 - j - 3*z. Let b(l) = -2*l**3 + 2*l + 2. Give -3*b(w) + 2*o(w).
2*w**3 - 4*w
Let m(a) be the first derivative of -a**4/2 - 2*a**3/3 - 3*a**2 - 5*a + 29. Let j(c) = -6*c**3 - 6*c**2 - 17*c - 15. Determine 6*j(v) - 17*m(v).
-2*v**3 - 2*v**2 - 5
Let r(o) = -15*o. Let x(a) = 122 + 0*a**2 - 65 - 57 - a**2. Determine -r(q) - x(q).
q**2 + 15*q
Let q(d) be the second derivative of -d**3/3 - d. Let o(z) = 9*z + 18*z + 1 - 39*z + 11*z. Calculate -o(r) + q(r).
-r - 1
Let j(r) = -5*r + 37. Let w(i) = 4*i - 37. Calculate 5*j(n) + 6*w(n).
-n - 37
Let u be (-5)/1 - (0 + 1). Let j(v) = v - 7. Let g be j(u). Let b(p) = 5*p + 2. Let z(a) = -26 - 26 - 6*a - 5*a + 75 - 27. Calculate g*b(k) - 6*z(k).
k - 2
Let g(m) = -11*m**2 - 4*m - 3. Let c(h) = -32*h**2 - 11*h - 8. Let d be (-25 + 14)*1*1*-1. Calculate d*g(b) - 4*c(b).
7*b**2 - 1
Let y(v) = 2*v**3 + v**2 + v + 16. Let m(z) = 5*z**3 + 2*z**2 + 2*z + 48. Give 4*m(w) - 11*y(w).
-2*w**3 - 3*w**2 - 3*w + 16
Let y(o) = -3*o. Suppose 14*j = -144 + 88. Suppose 0 = 4*i - 8*i + 8. Let l(g) = 4 + i*g - 4. Calculate j*y(a) - 5*l(a).
2*a
Let g(b) = 8*b**2 + 8*b. Let f(s) = 0*s**2 + 85*s + 3*s**2 - 82*s. Calculate -14*f(w) + 5*g(w).
-2*w**2 - 2*w
Let w(l) = l**3 + l**2 + 2. Suppose 6*v = -0*v. Let r = -3 - v. Let p(g) = 2. Calculate r*p(m) + 2*w(m).
2*m**3 + 2*m**2 - 2
Let z(s) = 6*s + 6. Let n(m) = 231584*m - 4 - 231591*m - 1. Determine -4*n(c) - 5*z(c).
-2*c - 10
Let y(w) = -7*w**3 + 6*w**2 + 318*w - 6. Let c(k) = 20*k**3 - 17*k**2 - 953*k + 17. Give -6*c(r) - 17*y(r).
-r**3 + 312*r
Let x(c) = -7*c**2 - 3. Let h(y) = -6*y**2 - 3. Let r = 2111 + -2114. Calculate r*h(d) + 2*x(d).
4*d**2 + 3
Let v(k) = 8*k**3 + 5*k**2 - 6*k. Let u(j) = -7*j**3 - 4*j**2 + 5*j. Let x be -3 - (5 - 6)*4. Suppose 5*a - s = 16, -3*a + 2*s + 5 = x. Give a*v(t) + 5*u(t).
-3*t**3 + t
Let a(g) = -6*g**3 - 2*g + 2. Let v = -1979 - -1976. Let m(b) = b. Determine v*m(q) - a(q).
6*q**3 - q - 2
Let n(j) = 58*j + 10. Let s(o) = -19*o + 17. Let c(u) = -4. Let w(v) = 5*c(v) + s(v). What is -3*n(b) - 10*w(b)?
16*b
Suppose -233*a + 202*a - 62 = 0. Let n(h) = 4*h**3 + 2*h**2 + 3. Let b(r) = 4 + 7*r**2 + 4*r**3 + r**3 + 0 - 4*r**2. Calculate a*b(l) + 3*n(l).
2*l**3 + 1
Let m be -4 + 5 - (-4 + -4 + 14). Let r(w) = -12*w**3 - 5*w + 5. Let h(k) = -42*k**3 - 18*k + 18. Determine m*h(p) + 18*r(p).
-6*p**3
Let h(v) = 2. Let q(d) = -13*d + 3. Give -4*h(b) + q(b).
-13*b - 5
Let f(w) = -3*w**3 + 5*w**2 - 12*w - 30. Let v(m) = -2*m**3 + 3*m**2 - 6*m - 14. Calculate 3*f(r) - 5*v(r).
r**3 - 6*r - 20
Let t be (5/4)/(4/(-16)). Let a(d) = -11 + 5*d**3 - 6*d**2 + 5 + 2 - 2. Let o(f) = -3*f - 5 - 13*f**3 + 17*f**3 - 5*f**2 + 3*f. Give t*a(c) + 6*o(c).
-c**3
Let q(h) = -5*h**2 - 2*h. Suppose -1289*v + 1290*v = 2. Let w(i) = -25*i**2 - 10*i. What is v*w(y) - 11*q(y)?
5*y**2 + 2*y
Let g(y) = 5*y - 161. Let o(q) = -12*q + 324. Calculate 5*g(h) + 2*o(h).
h - 157
Let o = 231 - 236. Let t(x) = -x**3 - 3*x - 3. Let f(i) = 2*i**3 + 5*i + 5. Calculate o*t(g) - 3*f(g).
-g**3
Let q(v) = 4*v - 3. Let k(o) = o - 1. Suppose 0 = n + 5 - 7. Let m(h) = 8*h + 4*h**2 - 9 + n*h**2 - 4*h**2 - 3*h**2. Let y be m(6). Calculate y*k(u) - q(u).
-u
Let m(w) = -16*w**2 + 11*w - 10. Let n = -9 - -39. Suppose -5*b - 137 = -562. Suppose -n = 5*s - b. Let u(r) = 3*r**2 - 2*r + 2. Calculate s*u(z) + 2*m(z).
z**2 + 2
Let f(w) = -2*w - 3. Let i(s) be the third derivative of -s**4/12 - s**3/3 - 100*s**2. What is 2*f(z) - 3*i(z)?
2*z
Let x(a) = -a**3 + a. Suppose k - 9 + 2 = -2*t, 0 = 2*k - t + 1. Let g(u) = -6*u**3 - 3*u**2 + 2*u. Determine k*g(p) - 2*x(p).
-4*p**3 - 3*p**2
Let u(o) = -8 + 4 - 3 + 2*o**2. Let x(r) = r**2 - 4. Suppose 2*z - 5*t = 7*z + 30, 0 = -2*z + t - 12. Let v(f) = -f - 2. Let p be v(z). What is p*u(i) - 7*x(i)?
i**2
Let q(x) = 7*x**2 - 3*x + 2. Let t(u) = -12*u**2 + 8*u - 8. Let c(p) = -25*p**2 + 17*p - 17. Let f(m) = 6*c(m) - 13*t(m). What is 3*f(v) - 2*q(v)?
4*v**2 + 2
Suppose -3*j - 81 + 0 = 0. Let z(r) = 7*r**3 - 4. Let m(b) = 48*b**3 - 27. What is j*z(n) + 4*m(n)?
3*n**3
Let z = -1053 - -1070. Let q(i) = -23*i**2 - 3*i - 21. Let g(k) = 8*k**2 + k + 7. What is z*g(n) + 6*q(n)?
-2*n**2 - n - 7
Let k(w) = -6*w**2 + 11*w - 396. Let n(z) = -z**2 + 2*z - 79. Determine 2*k(r) - 11*n(r).
-r**2 + 77
Let k(g) = -23*g - 1. Let u(x) be the second derivative of 4*x**3/3 + 2*x - 14. Determine 3*k(w) + 8*u(w).
-5*w - 3
Let j(i) = -3*i - 730. Let h(m) = 19*m + 4383. Calculate -2*h(w) - 13*j(w).
w + 724
Let k(c) = -985*c**2 + 4*c + 8. Let g(y) = -2191624*y**2 + 8901*y + 17802. Calculate -4*g(h) + 8901*k(h).
-989*h**2
Let s(r) = -6*r**3 + 3*r**2 - 4. Let t(c) be the first derivative of -2/3*c**3 - 35 + 0*c**2 + 2*c + 3/4*c**4. What is 4*s(n) + 7*t(n)?
-3*n**3 - 2*n**2 - 2
Let z(j) = 14*j**2 + 3. Let s(q) be the second derivative of -3*q**4/4 - q**2 - 61*q. Calculate -8*s(g) - 5*z(g).
2*g**2 + 1
Let i(l) = -4 - 79*l**2 - 3*l - 79*l**2 + 5*l + 157*l**2. Let f(h) = 4*h**2 - 6*h + 11. Calculate -3*f(j) - 8*i(j).
-4*j**2 + 2*j - 1
Let u(t) = -264*t - 10. Let f(n) = -131*n - 4. Give -5*f(v) + 2*u(v).
127*v
Let t(p) = 463*p**2 + 4*p - 2. Let s(j) = -463*j**2 - 6*j + 3. Calculate -2*s(a) - 3*t(a).
-463*a**2
Let m(u) = -8*u**3 + 3*u - 10. Let k(j) = -9*j**3 + 4*j - 11. Determine 3*k(i) - 4*m(i).
5*i**3 + 7
Let w(n) = n**3 - 17*n**2 + 2*n - 1. Let v(c) = -4*c**3 + c. Calculate 2*v(t) - w(t).
-9*t**3 + 17*t**2 + 1
Let c = 284 - 280. Let p(l) = 1. Let g(t) = t + 4. Calculate c*p(u) - g(u).
-u
Let u(w) = 5*w**3 - 190*w**2 - 8. Let j(l) = -11*l**3 + 382*l**2 + 18. What is 4*j(y) + 9*u(y)?
y**3 - 182*y**2
Let o(y) = 9*y**2 + 5*y - 170. Let c(f) = -7*f**2 - 4*f + 168. What is -5*c(p) - 4*o(p)?
-p**2 - 160
Let g(z) = -z - 62. Let i(c) = -c - 3. What is g(r) - 4*i(r)?
3*r - 50
Let a(g) = g**3 - g**2. Let r(n) = 9*n**3 + n**2 - 6*n + 6. Let o(m) = m**2 - m + 1. Let v(t) = -6*o(t) + r(t). Calculate 4*a(y) - v(y).
-5*y**3 + y**2
Let p(h) = -h + 20. Let b(a) = a - 21. Suppose 12*r - 10*r = 4*n - 8, r - n = 1. What is r*p(l) + 5*b(l)?
-l + 15
Let f(z) be the third derivative of -7*z**5/60 + 3*z**4/8 - z**3/3 - 6*z**2 + 2. Let w(a) = 10*a**2 - 13*a + 3. Determine -7*f(n) - 5*w(n).
-n**2 + 2*n - 1
Let f(x) = -282*x**2 - 24*x. Let z(y) = -4*y. Calculate f(d) - 6*z(d).
-282*d**2
Let n(z) = 17*z**2. Let k(o) = 15*o**2 - 3*o + 1. What is -3*k(d) + 2*n(d)?
-11*d**2 + 9*d - 3
Let i(u) = 6*u**3 - 4*u**2 - 6*u + 1. Let t be (-6)/(-10)*150/18. Let o(a) = -7*a**3 + 5*a**2 + 7*a - 1. Let z = -11 - -15. Give t*i(v) + z*o(v).
2*v**3 - 2*v + 1
Let a(r) = 9*r**3 + 5*r - 1. Let g(c) = 19*c**3 + 11*c - 2. Let k be 6/(6/8*-2). Determine k*g(m) + 9*a(m).
5*m


5) assuming z is positive.
z**(-973/75)
Simplify ((i*i/((i**19*i)/i))**(-27/4))**25 assuming i is positive.
i**(11475/4)
Simplify (p/((p*p**6*p*p*p)/p)*p*p**17)/(((p/p**(1/18))/p)/p*p*p*p**(-26)) assuming p is positive.
p**(631/18)
Simplify (l**(-15)*l**(-1/4)/l)/((((l**(1/13)/l)/l)/l)/l**16) assuming l is positive.
l**(139/52)
Simplify l*(l/(((((l**5*l)/l)/l*l)/l)/l))/l*l*l*l/(l/(l*l**(-3/2)*l))*l**11*l/(l*l**13*l) assuming l is positive.
l**(-5/2)
Simplify (((h*h**5)/h)**40)**13 assuming h is positive.
h**2600
Simplify ((h**(1/3))**(-15)/(h/(h**6*h)*h**(2/9)))**(7/5) assuming h is positive.
h**(49/45)
Simplify a/(a*((((a/(a*a**(-5/2)))/a)/a)/a)/a*a*a*a*a*a*a)*(a**20*a)/a*a*((a/a**(3/4))/a)/(a/((a/((a/(a**(3/5)*a))/a)*a)/a)) assuming a is positive.
a**(347/20)
Simplify j*j**15*j**13/j*j*(j**5)**(-10) assuming j is positive.
j**(-21)
Simplify ((z*z**(-10))/z**13)/(z*z*z*z/(z*z**(-11/4))*z**(-1/7)) assuming z is positive.
z**(-773/28)
Simplify (a/a**(1/7)*a)**(-25)/((a/a**(1/3))/a*a/(a*a*a**(-8))) assuming a is positive.
a**(-1115/21)
Simplify ((a*a*(a*a**7*a)/a*a*a*a**(-5)*a)**(-17/2))**1 assuming a is positive.
a**(-68)
Simplify (u/u**(3/4))/((u*u/u**(-5/6))/u)*u**11/(u*u**(-17)) assuming u is positive.
u**(305/12)
Simplify (p/(p**(-3/5)/p)*p**11)/(p*p**(-1/5)*p)**(-14) assuming p is positive.
p**(194/5)
Simplify (t/(t**(2/23)*t))**(-1/17)/(t/(t**(-16)*t))**(-46) assuming t is positive.
t**(287778/391)
Simplify ((i*i/i**(-1/4))/(i/((i*i**10)/i)*i))**(-14) assuming i is positive.
i**(-287/2)
Simplify ((y**(4/5)/(y**13*y))**(-2/31))**(-2/95) assuming y is positive.
y**(-264/14725)
Simplify ((y/((y*y**(-3))/y))/y**(-8))/((y*y**(-1))/y**(-2/37)) assuming y is positive.
y**(442/37)
Simplify (n**(-7/5)*n**(1/13)*n)/(n/(n/(n**(-3)/n*n))*n)**(-1/12) assuming n is positive.
n**(-191/390)
Simplify c**(1/6)*c**(-3/17)*c/((c**21*c)/c*c)*c*(c*c*(c/((c*c/(c**(-2/21)*c))/c))/c)/c assuming c is positive.
c**(-4547/238)
Simplify (x*x**11*x)/((x**(-1/7)*x)/x)*x**(1/15)*x*x*x**(-2) assuming x is positive.
x**(1387/105)
Simplify ((f*f/f**(-2/27)*f*f)/(((f*f**0)/f)/f))/(f**(2/13))**(-5/11) assuming f is positive.
f**(19861/3861)
Simplify (j/(j*j**(-2/11)/j*j))**(-26)/((j**(-3)*j)/j)**10 assuming j is positive.
j**(278/11)
Simplify ((f**(-1))**(15/7)/(f/(f*f*f*f**(-1/9))*f**(-6)))**(-37) assuming f is positive.
f**(-13394/63)
Simplify (z*z*z**(3/4))**(-1)/(z*z**(-4/3))**(-35) assuming z is positive.
z**(-173/12)
Simplify ((x**(1/5))**(4/13))**(1/17) assuming x is positive.
x**(4/1105)
Simplify ((m**(-7/6)*m)/(m**(-1/9)*m))/(m**(-4)/m)**17 assuming m is positive.
m**(1511/18)
Simplify (((x/x**(2/41))/x)**(-2/115))**(-11) assuming x is positive.
x**(-44/4715)
Simplify (k**(-24)/(k*k/(k/k**(3/8))))/(k**(-12)*k*k**(17/4)/k) assuming k is positive.
k**(-141/8)
Simplify ((h*((h/((h**(1/3)/h)/h)*h)/h)/h)/(h/(h/((h**10*h)/h*h))))/(h**(-2/27)/((h*h**(-6)/h*h)/h)) assuming h is positive.
h**(-385/27)
Simplify k**7/(k*k*k**(2/13))*(k/(k**3/k))/k*k*k**4 assuming k is positive.
k**(102/13)
Simplify (i/(i*i*i*i**4)*(i**(-7/3)*i*i)/i)/(i**(-4))**30 assuming i is positive.
i**(338/3)
Simplify s**(7/3)*s**19/s*s**20/s**(1/19) assuming s is positive.
s**(2296/57)
Simplify ((t**(2/3))**(2/5)*t**9*t**(2/9))**(-3/7) assuming t is positive.
t**(-61/15)
Simplify a**(-8/5)*a**(2/5)*a**17*a*a/a**(-13) assuming a is positive.
a**(154/5)
Simplify (((((g**(3/2)*g)/g)/g)/g**9)**(-22))**(4/7) assuming g is positive.
g**(748/7)
Simplify (l**16/l)/((l**(-8)*l)/l)*(l**2)**(-22) assuming l is positive.
l**(-21)
Simplify ((v*v/v**(3/14)*v)/(v/v**10))/((v*v**(-13))/(v*v/v**(7/4))) assuming v is positive.
v**(673/28)
Simplify k*k**(-18/7)*k/(k*k**15/k*k)*(k**(-18)/k)/k**(-4) assuming k is positive.
k**(-221/7)
Simplify (x**(-2/5))**(1/24)*(((x*x**10)/x)/x)/(x*x**(1/10)) assuming x is positive.
x**(473/60)
Simplify (x**12*x*x*x/x**13*x)/(x*x**(-3/10)/x*x*x**(1/62)) assuming x is positive.
x**(354/155)
Simplify ((y**(-1/7)/y)/(y*y*y*y/y**(2/3)))/(y**13*y*y*y**8*y) assuming y is positive.
y**(-598/21)
Simplify x*x/x**(-17)*(x/x**(1/4))/x*(x**(-1/12)*x)**(2/47) assuming x is positive.
x**(10597/564)
Simplify v**(-2/9)*v*v**(-5)*(v**(-2/7))**(11/3) assuming v is positive.
v**(-332/63)
Simplify (q**(4/3)/q**(-5))**(-2) assuming q is positive.
q**(-38/3)
Simplify (u**(22/3)*u*u**(-5))/(u**14)**(-15) assuming u is positive.
u**(640/3)
Simplify (r**(-7/3)/r*r)/r*r*r**7*(r/r**(-3/4))**(-22) assuming r is positive.
r**(-203/6)
Simplify k/k**(-8)*k/((k*k**(-1/17)*k*k)/k*k)*(k*k**10)/(k*(k**12/k)/k) assuming k is positive.
k**(120/17)
Simplify (g/g**(1/2))**(3/8)*(g/(g/g**10))/(g*g*g/g**(2/17)) assuming g is positive.
g**(1987/272)
Simplify (d/d**(-4)*d/d**4)/(d**(-7/6)*d**(-13)) assuming d is positive.
d**(97/6)
Simplify (s**(-3/2)*s*((s*s**(-3)/s)/s)/s*s**0/s**6)**(-30) assuming s is positive.
s**345
Simplify j**33*j**(-15)/j*j**15/j**(-7) assuming j is positive.
j**39
Simplify (j/(j*j**(-7)))/(j*j/(j*j**(-1/3)/j))*((j/(j*((j**21/j)/j)/j*j))/j)/(j/j**22*j) assuming j is positive.
j**(14/3)
Simplify (l/(l*l/(l/l**(-2/43)))*l**(-2/5)/l)**(11/7) assuming l is positive.
l**(-3201/1505)
Simplify ((j*(j*j*j**(-6)*j)/j*j)/j*j/(j/(j*j**(-23)))*j)/(j**11/j**(1/61)) assuming j is positive.
j**(-2134/61)
Simplify (((a/(a**(-5/2)/a))/(((a*a**4)/a)/a))/(a**(-2)/a**(-3)))**38 assuming a is positive.
a**19
Simplify (s**4*s**(-1/9))/(s**(2/17)*s**8) assuming s is positive.
s**(-647/153)
Simplify (((a/(a*a**(-5))*a)/(((a/a**(-3/4))/a*a)/a))/(a*a**(-1/3))**(-10/19))**(-2/3) assuming a is positive.
a**(-1277/342)
Simplify (l**7*l)**(-4/5)*(l*(l**(-8)*l)/l*l*l)/l*l*l/((l*l**8)/l*l) assuming l is positive.
l**(-97/5)
Simplify s**(4/5)*s/((s*s/((s**(2/7)*s)/s))/s)*(s**(-1/5))**3 assuming s is positive.
s**(17/35)
Simplify (m/m**(1/4)*m*m*m**(2/3)*((m/(m*m**0)*m)/m)**(10/13))**(-1/64) assuming m is positive.
m**(-41/768)
Simplify (d*d**7*d)**20/(d*d/(d/d**(-5/6))*d*d**(1/9)) assuming d is positive.
d**(3217/18)
Simplify (c*c*c**3*c**14*c)/(c/(c*c/(c**(-7)/c))*c/(c/((c**(-8/3)/c)/c*c))) assuming c is positive.
c**(98/3)
Simplify ((k/(k*k/(k/(k/k**1))*k*k))**(-28/3))**(-3/5) assuming k is positive.
k**(-56/5)
Simplify (v**1)**(-1/19)/(v/v**(-4))**(-5/6) assuming v is positive.
v**(469/114)
Simplify (a**(2/5)*a)/(a**17/a)*((a*(a/(a*a/(a*a*a**(1/5))))/a*a*a*a)/a)/(a**23/a) assuming a is positive.
a**(-167/5)
Simplify ((h/((h/h**(-1/3))/h)*h)**38/(h**(-1/5)*h/(h*h**4*h)))**(1/8) assuming h is positive.
h**(257/30)
Simplify (l**(-1/37)*l)/(l*(l/(l**(-6)/l)*l)/l)*(l*l**22)/(l*l**(2/3)) assuming l is positive.
l**(1477/111)
Simplify ((i*i/(i*i**(7/4)*i))/i)**(-9/10)/(((i*i**22/i)/i*i)/i**9) assuming i is positive.
i**(-421/40)
Simplify (k**(1/7)/k**(-6/13))/(((((k*k**(-2/15)*k*k*k*k)/k)/k)/k)/(k*k*k**(1/23)*k*k)) assuming k is positive.
k**(87316/31395)
Simplify (l**5*l)**(-42)*l/(l/(l/(l/l**(-8)*l))*l)*l*l**9 assuming l is positive.
l**(-252)
Simplify (l/l**(-7/9)*l**(1/9))**(-39) assuming l is positive.
l**(-221/3)
Simplify f*f**24*f**11*(f**(6/11))**19 assuming f is positive.
f**(510/11)
Simplify (p/(p/(p**(2/9)*p)))/(p/((p/(p*p/p**(-16)*p))/p)*p)*(p**(-15)/p*p*p)/p**(-7/3) assuming p is positive.
p**(-283/9)
Simplify (l/(l*l*l**(1/5)))**(3/34)/(l*l**(3/5))**(-4/3) assuming l is positive.
l**(517/255)
Simplify ((i/i**3)/i*i**(-34))**(-31) assuming i is positive.
i**1147
Simplify (c**3*c*(c*c/c**(-7))/c*(c*c/(c*c/(c/((c*c/c**3)/c))*c*c))**(4/3))**24 assuming c is positive.
c**320
Simplify (((u*u/u**(8/7))/u**(-11))/(u**0/u**12))**38 assuming u is positive.
u**(6346/7)
Simplify (((b**(8/5)/b*b)/b)/b**(-8))/(b**(-2/19)*(b*b**(-5/3))/b) assuming b is positive.
b**(2956/285)
Simplify (d**11)**(-10)/(d**14/d**(-1/40)) assuming d is positive.
d**(-4961/40)
Simplify (g**10*g*g/g**18)/((g*(g*g**(-1/3)/g)/g)/(g*g*g/(g*g**19*g)*g*g*g*g)) assuming g is positive.
g**(-59/3)
Simplify ((b**(-7)*b)/b*b*b/(b/(b/(b**(-5)*b))))/(b**(-5)/(b/(b*b*b/(b*b**2)))) assuming b is positive.
b**5
Simplify (((o**(-1/3)/o)/(o*o/o**(-3/5)))**(-4))**25 assuming o is positive.
o**(1180/3)
Simplify ((i**44*i*i)/i*i/(i*i**41))**(3/22) assuming i is positive.
i**(6/11)
Simplify (((d*d**(-6/11))/((d**9/d)/d))/(d/(d/d**10)*d*d*d**7))**(12/11) assuming d is positive.
d**(-


 Let b be v(2). List the prime factors of (507/b)/(6/16).
2, 13
Let t(r) = -r**2 + 0 + 2 + 2 + 9*r + 3. Let b be t(9). What are the prime factors of 18/(-63) - (-156)/b?
2, 11
Let z(g) = -131*g - 13. Let r be z(-3). Suppose 3*w + r = 7*w. What are the prime factors of w?
5, 19
Suppose 3*u + 4*o = -u, o = 4*u - 10. Suppose 0 = -u*p - 3*p - 615. List the prime factors of p/(-2)*(-12)/(-9).
2, 41
Let q = -2 + 10. Let r = -23 + q. Let n = r + 32. What are the prime factors of n?
17
Let h(r) be the second derivative of 0 + 1/3*r**3 + 11*r + 9*r**2. List the prime factors of h(12).
2, 3, 7
Suppose -2*l + 2*g = -20, g + 4 = 1. Let h = 7 - l. Suppose -s + 57 = 2*s - 5*p, h = 5*s - 5*p - 85. List the prime factors of s.
2, 7
Let y(b) = 42*b**2 - 82*b - 6. What are the prime factors of y(5)?
2, 317
Let h(o) = -1 - 167*o + 170*o + 4. List the prime factors of h(3).
2, 3
Let m(d) = d**2 + 25*d + 7. Let p be m(-9). Let l = p + 219. What are the prime factors of l?
2, 41
Let z = 3835 + -1715. List the prime factors of z.
2, 5, 53
Let g be -9 + -2*(-3)/(-2). Let j = g + 10. What are the prime factors of j/3*870/(-20)?
29
Let a(j) be the first derivative of -j**4/4 - j**3 + j**2 - 4*j - 1. List the prime factors of a(-4).
2
What are the prime factors of 8/(-36) + 5/(135/32082)?
2, 3, 11
Suppose 51 = -18*v + 663. List the prime factors of v.
2, 17
Let c(f) = -60*f - 68. What are the prime factors of c(-8)?
2, 103
Let c(h) = -49*h**3 + h**2 - 3*h - 28. What are the prime factors of c(-4)?
2, 7
Let d be 5/((-15)/12)*(-6)/6. Suppose -575 = -d*g - 15. What are the prime factors of g?
2, 5, 7
Suppose -33 = -2*k - 3*k - 4*g, k - 13 = -4*g. Suppose 0 = -k*x + 9*x - 12. List the prime factors of 4 + 4 + -8 + x.
3
Let o(s) = 5*s - 16. Let v be o(4). Suppose 7*n + 159 = 3*p + 4*n, -4*p - v*n = -180. What are the prime factors of p?
7
Let o(w) = -2*w**2 + 37*w + 15. Let k be o(11). What are the prime factors of k/40*(-70)/(-1)?
3, 5, 7
Let j(k) be the second derivative of -k**5/20 - 4*k**4/3 - k**3 + 21*k**2/2 - 5*k + 3. What are the prime factors of j(-16)?
3, 13
Suppose w + 4*w - 40 = 0. Let r be -1*(-4)/(-2) - 12. Let z = w - r. What are the prime factors of z?
2, 11
Let c(l) be the third derivative of -l**4/12 - l**3/3 - l**2. Let j be c(-9). Suppose -2*b = 5*z - 37 - j, 90 = 5*b + 4*z. List the prime factors of b.
2, 7
Let y(h) = -h + 18. Let s be y(13). Suppose -x = -2, 0 = -5*i + 2*x - s*x + 56. Suppose 50 = 4*m + i. What are the prime factors of m?
2, 5
Suppose 11*r - 3441 = -152. What are the prime factors of r?
13, 23
Suppose 3*m = -11 - 13. Let x = -277 - -558. List the prime factors of x/9 + m/36.
31
Let g be (-35)/(-4) + (-145)/(-20) + -7. What are the prime factors of (g/(-12) - 1233/(-12))/2?
3, 17
What are the prime factors of ((-8155)/(-21))/((-6)/(-54)) - 5?
2, 5, 349
Suppose -i - 2*j = 2, 6 = -3*j - 3. Suppose -5*q = -i*t + 598, q + 584 = -4*q - 3*t. Let l = -76 - q. What are the prime factors of l?
2, 3, 7
List the prime factors of 140/48 + -3 + (-300)/(-144).
2
Let r(i) = -i**3 - 4*i**2 + 0*i**3 - 3*i + 0*i**3. Let t be r(-3). Suppose -q + t*q + 18 = 0. List the prime factors of q.
2, 3
Suppose 0*u = -5*i + 2*u + 156, -2*i = 5*u - 74. Let q = i + -64. Let m = -13 - q. List the prime factors of m.
19
What are the prime factors of (195 + 6)/((-30)/(-400))?
2, 5, 67
Let a = -945 - -2078. What are the prime factors of a?
11, 103
Let f = 938 - 779. List the prime factors of f.
3, 53
Let o = 8 - 3. Suppose -18 + 445 = 5*t + 4*h, 2*t - o*h = 184. Suppose -3*z + 88 = -s - s, 3*s = 3*z - t. List the prime factors of z.
2, 3, 5
Let t be (-4)/(-6)*(-5256)/(-48). Let y = t + -60. List the prime factors of y.
13
Let w(s) = -s - 12. Let j be w(-15). Suppose 0 = b - 5*m - 121, 0 = -j*b - b - 2*m + 484. What are the prime factors of b?
11
Let j = 1079 - 667. List the prime factors of j.
2, 103
Let f(o) = 38*o - 83. What are the prime factors of f(17)?
563
Suppose -22*f - 2*f + 6024 = 0. List the prime factors of f.
251
Let h be (-4)/10 - 272/20. What are the prime factors of (-502)/h - (-5 + (-68)/(-14))?
2, 3
Let b(c) be the first derivative of -c**4/4 + c**3/3 - c**2/2 + 18*c - 10. What are the prime factors of b(0)?
2, 3
Let a = -2007 - -3011. List the prime factors of a.
2, 251
Suppose 3*u = 783 + 411. Suppose u = 2*f + 5*a - 47, 0 = -5*f - 3*a + 1122. Suppose 3*c - f = -2*c. List the prime factors of c.
3, 5
Let f be 6 - (3 - -1)/4. Suppose -6*m = -f*m + 2. Let p(z) = 6*z**2 + 2. List the prime factors of p(m).
2, 13
Let d be (2/2)/((-3)/(-6)). Suppose -d*a + 2*j + 2*j + 228 = 0, 0 = 2*a + j - 208. What are the prime factors of a?
2, 53
Let z(x) be the third derivative of 0*x**5 + 7*x**2 + 1/3*x**3 + 1/30*x**6 - 1/8*x**4 + 0 + 0*x. What are the prime factors of z(2)?
2, 7
Let i(u) = 85*u**2 + 5*u - 7. Let l be i(2). Let p = l - 188. What are the prime factors of p?
5, 31
Let g(k) = -k**3 + 13*k**2 + 8*k - 58. List the prime factors of g(12).
2, 7, 13
Let d be (1 - 0)*14/1 - 2. What are the prime factors of (460/(-8) - -2)*(-8)/d?
37
Let c be 22/3 + -1 + (-84)/63. Suppose 3*y + 5*w - 8 = 257, -4*y + c*w + 330 = 0. List the prime factors of y.
5, 17
Let b be (0 - -88) + -2 + -1. Let t = b - 50. Suppose y - t = 23. List the prime factors of y.
2, 29
Suppose -14*w + 825 = w. Suppose 4*a + 118 = 3*r + 6, a + 28 = -5*r. Let o = w + a. List the prime factors of o.
3
Suppose 6*o - 557 = -2*a + 7*o, 4*a = -5*o + 1121. List the prime factors of a.
3, 31
Let i be 2/(-3) - (-73)/(-3). Suppose -1 = -h, 5*h + 119 = -2*q - 18. Let z = i - q. What are the prime factors of z?
2, 23
Suppose -5*x + 15 = 0, -2*h + 2*x = 3*h - 39. Suppose 0*b + b - 2*b = 0. Suppose -4*z + h*z - 200 = b. List the prime factors of z.
2, 5
Suppose 9 = -2*g + 3. Let n(t) = -2 + 0*t**3 + 3 - 3*t**2 - 3*t**3 + 4*t. What are the prime factors of n(g)?
43
What are the prime factors of (1226 - 2) + -3 + 7?
2, 307
Let w(j) = -j**2 + 14*j + 9. Let h(a) = 3*a**2 + a + 3. Let o be h(4). Suppose -2*c - 2 = -0, -5*c = 5*b - o. What are the prime factors of w(b)?
3, 11
Let x = -19 + 19. Suppose 4*v - 32 = -x*v. Suppose 7*s - 6 = v. What are the prime factors of s?
2
Let g be (-211)/(-2) - 3/6. List the prime factors of (-80)/6*g/(-28).
2, 5
Suppose 0*u + 14 = 2*g - 3*u, -u + 4 = 0. Let d = g - 17. What are the prime factors of 138/4*d/(-3)?
2, 23
Let t = 65 + -65. Let w(n) = n**3 - n**2 + 37. List the prime factors of w(t).
37
Let u(m) = -m**3 - 1. Let c(n) = 3*n**3 + 5*n**2 - n + 8. Let s(l) = -c(l) - 2*u(l). List the prime factors of s(-6).
2, 3
Let y = 4 - 2. Suppose -y*w = w + 5*s - 234, 3*w - 4*s = 234. What are the prime factors of w?
2, 3, 13
Let l(j) be the first derivative of j**4/4 - j**3 - 9*j**2/2 + 19*j - 7. What are the prime factors of l(6)?
73
Let l be (-14)/(-7) + -3963 + 1. List the prime factors of (-1)/(-7) - l/14.
283
Let f(w) = 41*w**3 - w**2 + 2*w - 2. Let y be 2/(-8)*(1 - 13). Suppose -3*r = -3*k, -y*r - r - 4*k + 8 = 0. What are the prime factors of f(r)?
2, 5
Let z = 17 + -11. Suppose -23 = y + 5*l, -3*y + 25 = -5*l - z. Suppose 0 = 7*t - y*t - 65. What are the prime factors of t?
13
Let c = 195 - 275. Let a be c/(-15) - (-2)/(-6). Suppose -87 = -a*y + 58. What are the prime factors of y?
29
Let f = -1959 - -3006. What are the prime factors of f?
3, 349
Suppose 2*g = 3*g - 20. Let k = 35 - g. List the prime factors of k.
3, 5
Let d(i) = -i**3 - 23*i**2 + 23*i + 23. Let n be d(-25). Suppose 3*k - n = -110. What are the prime factors of k?
2, 7
Let m = 141 + 96. What are the prime factors of m?
3, 79
Let y(i) = -2*i + 5*i + i - 7*i. Suppose o - 4*o = 3. List the prime factors of y(o).
3
Let b(d) = 2*d - 23. Let h be b(7). List the prime factors of (-101)/h + 2/(-9).
11
Suppose -32 + 8 = 4*q. List the prime factors of (1/2)/(q*1/(-792)).
2, 3, 11
Suppose -b = 2*h - 3946, -3*h + 2*b = b - 5924. What are the prime factors of h?
2, 3, 7, 47
Suppose -28*n + 57*n - 107184 = 0. What are the prime factors of n?
2, 3, 7, 11
Suppose -10*m = 3*r - 5*m - 13382, 3*r - 3*m - 13422 = 0. What are the prime factors of r?
41, 109
Suppose 2*b - 458 = -2*n + 974, -4*n - 2*b = -2872. What are the prime factors of n?
2, 3, 5
Let i(t) = 2*t - 2. Let s be i(8). Let b be 4/14 + 402/s. Let p = b - 10. List the


- 678*q + 37324 for q.
86
Solve -2132*k + 1372 = -1111*k - 1070*k for k.
-28
Solve 0 = 5193*j - 78319 + 727444 for j.
-125
Solve -74*l + 2106 - 2769 = 134*l + 8073 for l.
-42
Solve 353*u = -355*u + 696*u + 120 for u.
10
Solve 264*z - 48455 = -2526*z - 18776 + 134931 for z.
59
Solve -871*b = -1743*b + 881*b - 12 + 264 for b.
-28
Solve 922829*x = 923950*x + 110979 for x.
-99
Solve 19871*u - 1097395 = 218956 + 432297 for u.
88
Solve 51708 + 2592 = 2715*a for a.
20
Solve -19332 = -5609*g + 6683*g for g.
-18
Solve 1233*v + 1430 = 1275*v - 796 for v.
53
Solve -247*d + 1504 + 2942 = 0 for d.
18
Solve -71*i = -140*i - 197*i + 9516 + 2720 for i.
46
Solve 0 = -2678574*j + 2678579*j + 210 for j.
-42
Solve -545262 = 3629*h + 5362*h - 263*h + 838*h for h.
-57
Solve 4287 - 38926 = -517*v for v.
67
Solve 37144 + 94568 = -3430*z - 1174*z + 488*z for z.
-32
Solve -2652*z - 3644*z = 807*z - 1196*z + 726561 for z.
-123
Solve -149*b + 18200 = 86*b + 115*b for b.
52
Solve -2697*y + 60*y = 7487 - 52316 for y.
17
Solve 0 = 1598*p - 4640 + 28505 + 24075 for p.
-30
Solve 4671*u - 5330*u - 11862 = 0 for u.
-18
Solve 2795*k - 30043 = 106912 for k.
49
Solve 17*t - 764113 = 213*t + 10*t - 777503 for t.
65
Solve 62*r - 5812*r - 281750 = 0 for r.
-49
Solve 24339*q = 24372*q + 132 for q.
-4
Solve 26 + 59 = 10750*j - 10835*j for j.
-1
Solve -129585 = -172*k - 136293 for k.
-39
Solve 20*k - 424*k = -13*k - 37536 for k.
96
Solve 12965*x - 10917*x = 55296 for x.
27
Solve 144*k = -167334 + 165318 for k.
-14
Solve 34*w - 4097 - 4901 = -7774 for w.
36
Solve -725*q - 113616 = 1379*q for q.
-54
Solve 0 = -482*h + 370*h + 448 for h.
4
Solve -26*a + 31*a = -89*a + 1410 for a.
15
Solve -53*c - 4246221 = -4246857 for c.
12
Solve -46574 = 47*a - 47091 for a.
11
Solve -1106 + 4130 = -82*q + 271*q for q.
16
Solve 142019*p - 13892 = 142321*p for p.
-46
Solve 0 = -1656545*z + 1656520*z + 475 for z.
19
Solve -1143*f - 25969 = 29423 - 10726 + 12484 for f.
-50
Solve -28632 = 1539*t + 895 + 12026 for t.
-27
Solve -24*t = -111*t + 671*t - 41464 for t.
71
Solve -56*u + 1189 - 447 - 238 = 0 for u.
9
Solve -135673*y = -135578*y + 380 for y.
-4
Solve -780*t + 194716 = 1571*t + 58358 for t.
58
Solve 0 = -35*t + 295606 - 295781 for t.
-5
Solve 528 - 253 = -54*a - 1291 for a.
-29
Solve -139*n + 387 - 188 = 539 + 1467 for n.
-13
Solve -127747 = 4228*x + 37145 for x.
-39
Solve 0 = 365*l - 852*l + 17532 for l.
36
Solve 45620*t + 77520 = 46266*t for t.
120
Solve 0 = -3531*a + 2079 + 4983 for a.
2
Solve 198*t - 286*t = -116*t - 560 for t.
-20
Solve 1348*m = 1265*m + 830 for m.
10
Solve 198094*m - 198092*m = -74 for m.
-37
Solve 369*f = 2332 - 11905 - 11829 for f.
-58
Solve 319*d = 8366 - 1064 + 10136 - 2764 for d.
46
Solve 120092*u - 120191*u + 1061 = -28 for u.
11
Solve -676*f + 180*f + 12662 = 587*f - 158452 for f.
158
Solve -2996*j - 74828 + 242694 + 88808 = -14663*j for j.
-22
Solve -24973 = 57*a - 22465 for a.
-44
Solve -1021*t + 902*t - 328 + 1323 = -1980 for t.
25
Solve 32317*w + 6039 = -32182*w + 64316*w for w.
-33
Solve -16*d - 5*d = -212*d - 9359 for d.
-49
Solve -17457 + 1287 = 539*s for s.
-30
Solve 399*o + 1035*o + 580*o = -26182 for o.
-13
Solve -937*g = -507*g - 136*g - 14406 for g.
49
Solve -42*x - 367 = -75*x + 1448 for x.
55
Solve 20817 = -8211*b + 8468*b for b.
81
Solve -1185 = -487*v + 283*v + 283*v for v.
-15
Solve -1506 - 67 = 52*f + 1441 - 570 for f.
-47
Solve -524*r + 60677 = 243*r + 524*r for r.
47
Solve 20*y - 494*y = -48*y + 240*y - 42624 for y.
64
Solve 545 = -7*k + 860 for k.
45
Solve 4*c - 163*c + 11903 = 93*c - 25393 for c.
148
Solve -7110 = 16503*y - 16740*y for y.
30
Solve -6829 = 1055*f + 3031 + 9860 - 3895 for f.
-15
Solve -661*d - 14382 = -567*d for d.
-153
Solve -47*p + 12*p - 837 = -8*p for p.
-31
Solve 117647 = -905*k - 3760*k + 327572 for k.
45
Solve -173 = 275*k + 4349 + 2439 + 4039 for k.
-40
Solve -157*d + 260*d + 136*d + 478 = 0 for d.
-2
Solve 1879 = -13537*f + 13611*f + 251 for f.
22
Solve -2414*d + 7588 + 73155 = -39957 for d.
50
Solve 150*b - 949 - 1316 = 3585 for b.
39
Solve -6482 = 35*j - 8512 for j.
58
Solve 260811 = -11*y + 260294 for y.
-47
Solve 4*g - 75*g = 180*g - 1742 + 7515 for g.
-23
Solve -473*u - 25605 = 393*u - 297*u for u.
-45
Solve 0 = 12*f + 48 + 73 - 22 + 129 for f.
-19
Solve 3501 = 29*q - 2582 + 7458 - 2738 for q.
47
Solve 2246 = 1686*u + 22841 + 2924 + 50665 for u.
-44
Solve -297*y - 244*y - 55*y = -107*y - 25428 for y.
52
Solve -6462505 = 15*h - 6462280 for h.
-15
Solve 11821 = 308*z + 425 for z.
37
Solve 198*s + 10180 = 1273*s + 63589 + 55166 for s.
-101
Solve -273*b - 15882 - 87078 = 623*b + 976*b for b.
-55
Solve 555*h - 1024*h = -511*h - 1260 for h.
-30
Solve 64*g + 40829192 - 40822536 = 0 for g.
-104
Solve -56*i + 19*i + 7439 = 20*i + 116*i for i.
43
Solve 328*k - 442852 = -5583*k - 297*k + 103452 for k.
88
Solve 108*t - 145*t = 188*t - 1350 for t.
6
Solve 13447 - 7751 = -89*b for b.
-64
Solve -150*v - 136*v - 18*v - 7250 = -54*v for v.
-29
Solve 0 = 836*d + 717*d - 25855 + 14191 - 53562 for d.
42
Solve -7229 + 9137 = 2245*q + 105876 + 89102 for q.
-86
Solve -18*r - 15026 - 4279 = -130*r - 10457 for r.
79
Solve 137834*m = 137763*m - 1278 for m.
-18
Solve -174*t = 92*t - 8362 - 149 + 265 for t.
31
Solve 1136*d + 79250 = 83794 for d.
4
Solve 9774*v - 988730 - 209998 = -192006 for v.
103
Solve -q + 8 + 19 + 33 = -5*q for q.
-15
Solve -8608 - 55878 - 64143 = 7843*p - 26670 for p.
-13
Solve 36*q + 5*q = -136*q - 249*q - 20448 for q.
-48
Solve 1959 - 195 = -1087207*j + 1087249*j for j.
42
Solve 810*b + 24870 = 6240 for b.
-23
Solve -3310*i + 70927 - 5341 + 24065 = -65919 for i.
47
Solve 0 = -49587*x + 51408*x - 183921 for x.
101
Solve 608*k + 274446 = 303022 for k.
47
Solve 223*q = -405*q - 265*q + 4465 for q.
5
Solve 0 = -227*y - 393*y - 34100 for y.
-55
Solve 2903*p - 2473*p = -28810 for p.
-67
Solve 2334 - 465 = 623*k for k.
3
Solve 2246 + 336 = 230*l - 178 for l.
12
Solve -7*t + 53*t - 33 + 171 = 0 for t.
-3
Solve -3078 = 74*r - 1981 + 2818 + 1339 for r.
-71
Solve -2776 - 42368 = 2508*o for o.
-18
Solve 15787*h - 531725 = -769243 - 414494 - 689883 for h.
-85
Solve 9*d + 61 = -37*d - 951 for d.
-22
Solve -193*o = -1270*o + 60312 for o.
56
Solve 150*m - 131 = -126 + 745 for m.
5
Solve 17*u - 48*u - 18*u + 270 + 1837 = 0 for u.
43
Solve -18*i - 21 = 45 - 426 for i.
20
Solve 381*x + 170*x = 9583 - 18080 - 16849 for x.
-46
Solve -2696*j - 743728 = 316*j + 5072*j for j.
-92
Solve 0 = 4806*u + 210736 + 77624 for u.
-60
Solve 0 = -674*z - 48779 + 13258 - 9637 for z.
-67
Solve -7136106 = -189*f - 7129302 for f.
36
Solve 259*b - 12193 - 3041 = 3155 for b.
71
Solve 1345*n - 33500 + 4287 = 50142 for n.
59
Solve -3467*m + 45871 = 3086*m for m.
7
Solve -939544*b = -939933*b + 45513 for b.
117
Solve 576*g - 10677 = 2680*g - 44341 for g.
16
Solve 0 = 1509*j + 48149 - 13442 for j.
-23
Solve 1455*h + 41347 = -3758 for h.
-31
Solve -108*p + 72989 - 38016 = 38429 for p.
-32
Solve -35*m = -550 + 442 + 843 for m.
-21
Solve -194*f + 2789 + 1257 = -1736 - 3142 for f.
46
Solve -81532*r = -77093*r + 452778 for r.
-102
Solve 0 = 22871*t - 4169*t - 205722 for t.
11
Solve 861*n + 1277*n + 14838 = 548*n - 5832 for n.
-13
Solve 246979 + 183871 = -4992*j + 51458 for j.
-76
Solve 1315*c - 55309 = -23749 for c.
24
Solve 1264*d = 1169*d + 1330 for d.
14
Solve -25*a - 359 - 328 - 173 = 61*a for a.
-10
Solve -7544 + 6294 = 50*x for x.
-25
Solve -163*y = 134*y - 45*y + 8820 for y.
-35
Solve -1542*j + 2415 - 4824 - 5627 = 1216 for j.
-6
Solve -362*x - 2236 - 6188 = -524*x for x.
52
Solve 129651 + 56017 = 6595*b + 36*b for b.
28
Solve -2635*f = 294945 - 73605 for f.
-84
Solve -12098*u - 748063 = -93598 + 277081 for u.
-77
Solve -45*m + 89*m = -0*m + 2*m - 3150 for m.
-75
Solve 3217*k + 32431 = -5803*k - 21689 for k.
-6
Solve 410*p = -1033 - 43247 for p.
-108
Solve 122*g - 19593819 + 19589793 = 0 for g.
33
Solve g = 33*g + 559 - 1615 for g.
33
Solve 0 = -706*j + 20870 - 32166 for j.
-16
Solve 12049 = -1067*i + 2446 for i.
-9
Solve 462*m + 167670 = -329*m - 1072*m for m.
-90
Solve 7324562 - 7326146 = -88*c for c.
18
Solve -888 = -1605*z + 42447 for z.
27
Solve 1788*j = 2296*j - 21844 for j.
43
Solve -21935*l + 21810*l + 750 = 0 for l.
6
Solve -1181 + 14 = 566*v + 371 + 726 f


= 7 for l.
5
Let v(c) = -c + 2. Let k be v(-6). Let n be -4*(1 + (-18)/k). Solve p = 2*p + n for p.
-5
Let h = 19 - 16. Solve -3*p = -6 - h for p.
3
Let h = 3 - -2. Suppose -z = -h*z + 12. Suppose 8*c - z*c = 20. Solve -3*y + y = c for y.
-2
Let j(l) be the first derivative of l**2 - 8*l - 2. Let s be j(6). Suppose 2*t - 18 = 2*v, -t + 18 = t - 4*v. Solve o + t = s*o for o.
3
Let r = 4 - 0. Let w be 5/(2/(2/1)). Suppose 4*c - 28 = -2*k, 2*c = -w*k - 0*c + 70. Solve -r*x = 6 + k for x.
-5
Suppose 5*c = 4 + 6. Suppose 4*b - 3*o - 1 = 0, 3*b + 2*o = 17 + 5. Suppose 2*t = 4*s - 6, -3*s + 0 = -b*t + 3. Solve -r + c = -s*r for r.
-1
Suppose 5*u = 2*u. Let z be (-2)/(-8) - 11/(-4). Solve g = -u + z for g.
3
Suppose 2 - 29 = -9*x. Suppose l + 2 = 3. Solve -c = -l - x for c.
4
Suppose 3*m = -p - 0 + 5, 0 = -3*m - 4*p + 2. Solve -a + m = 3 for a.
-1
Let x be 22/(-6) + 2/(-6). Let h = x - 4. Let b(d) = -d**2 - 9*d - 5. Let t be b(h). Solve 1 = r + t for r.
-2
Suppose 4*j + 5*d = 10, j - d = d + 9. Solve 4*l = j*l for l.
0
Let a(p) = 2 - 5 - 4 + p - 3*p. Let j be a(-6). Solve 2*s - j = s for s.
5
Let n(z) = -2*z - 1. Let w be n(-3). Solve -3*u + 2 = w for u.
-1
Let o(x) = 2*x**2 + 4*x + 2. Let k be o(-2). Suppose -k*v + 12 = v. Suppose -v*b = 1 - 25. Solve -5*a + b = -3*a for a.
3
Suppose 4*d - 3 = 9. Solve d = 5*k + 13 for k.
-2
Suppose -20 = -5*x + 5*g, -2 = -2*x - g - 0. Solve -4*m + x*m = -8 for m.
4
Let b = 6 - 3. Let u be 27/(-9) + (b - 0). Solve u = -4*c + 5 - 25 for c.
-5
Let a(r) = -r**3 + 14*r**2 - 20*r - 27. Let x be a(12). Solve -5*k + x = 1 for k.
4
Suppose -3*v - 5*t = -35, 7*v - 2*v = -4*t + 67. Suppose 3*y - 2*s = -17, -5*s + 2*s - 6 = -y. Let k = v + y. Solve k = 5*l - 4 for l.
2
Suppose 8*i = 3*i + 10. Let z = i - -1. Solve z*t - 6 = t for t.
3
Let m(i) be the third derivative of i**6/8 + i**5/60 - i**4/24 - 2*i**2. Let b be m(1). Solve -b = 3*o - 8*o for o.
3
Suppose 2*y + 48 = -2*y. Let d = y - -16. Solve -n - 2 = -d for n.
2
Let c(h) = -h + 3. Let n be c(5). Let o be n/2*5*-1. Suppose 2*x + x = 0. Solve x = -v + o*v - 4 for v.
1
Let j be 2/8 - 30/(-8). Suppose 13*y - 4*y - 27 = 0. Solve y*v + v = -j for v.
-1
Suppose -2*t = -7*t + 85. Let p(m) = m**3 + 8*m**2 + 7*m + 2. Let u be p(-7). Let w be 3/u*48/9. Solve -5*a + t = -w for a.
5
Suppose -3*v + 2*b - 10 = 0, -8*b = v - 4*b - 20. Solve -6*u + 10*u + 4 = v for u.
-1
Let u(n) = 7*n + 1. Let s be u(4). Let x = -9 - -18. Solve 4*k - x = -s for k.
-5
Let d = -5 - -12. Let o = 12 - d. Solve -f - o + 3 = 0 for f.
-2
Suppose -2*k + 21 = 3*x, -3*x + 21 = 4*k - 6. Solve -8 = -k*c - 23 for c.
-5
Let f be 0 + 0/(-3) - -4. Solve 0 = -c - f*c for c.
0
Suppose 3*z - 8 - 4 = 0. Let a = 21 - -4. Solve y + a = -z*y for y.
-5
Let o = 12 - 10. Suppose o*j - 37 = -3*p, -p - 3*j - 1 = -5*j. Solve -k = 2*k + p for k.
-3
Let r(z) = 3*z**2 - 19*z - 12. Let y be r(7). Solve -9 = -y*j - 17 for j.
-4
Let i(c) be the third derivative of -c**6/120 - 3*c**5/20 + 5*c**4/12 + c**3/2 - 7*c**2. Let l be i(-10). Solve 0 = -0*n - l*n - 9 for n.
-3
Let m(h) = -3*h + 32. Let k be m(9). Solve 0 = -5*o + 25 - k for o.
4
Suppose 2*a - 2*j + 5 = -1, j - 5 = 0. Let d(k) = k + 9. Let f be d(-5). Suppose 3*c = f*g + 29, 5*g = -c + a*g - 12. Solve 0 = 4*w - c + 19 for w.
-4
Suppose g = -2*d - 5, 0*g - 4*g + 16 = -d. Solve -2*i - 3 = g for i.
-3
Let t = 77 + -54. Suppose -2*a + 2*d = -0*a + 10, t = -4*a + d. Let w be a/((-2 - 0)*1). Solve -4*p + w = -p for p.
1
Let f be (4/3)/(4/6). Let x(d) = -1 - 3*d**f - d**3 + 4 + 3*d + d. Let h be x(-4). Solve -h*l - 10 = 2*l for l.
-2
Suppose -5 = -3*p + h, 2*p - 3*h - 10 = 5. Solve p = q - 3*q - 6 for q.
-3
Let h = 742 + -732. Let j(n) = n**3 - n**2 - n - 3. Let x be j(3). Suppose -1 = -2*b - 4*r + 1, -2*b + x = -r. Solve -h = b*v + 5 for v.
-3
Suppose -5*y + y + 20 = 0. Suppose -2*t = 2*b + 6 - 2, -2*t + y = 5*b. Solve -p - 1 = b for p.
-4
Suppose 0 = -5*w + 2*v + 26, w + 2*v = -w + 2. Solve -w*b + 9 = 1 for b.
2
Let k(b) = 4 - 1 + b**2 + b - 5*b. Let g be k(2). Let w = 2 - g. Solve j - w = 2*j for j.
-3
Let v(m) = -m**2 - 3*m. Let q be v(-2). Solve -1 + q = -d for d.
-1
Let n(p) = -p**2 + 4*p + 2. Let i be n(2). Solve -t + 15 = -i*t for t.
-3
Suppose 12 = 3*c, 2*r + 7*c = 2*c + 28. Let n = -4 + r. Solve n*l = -3*l + 6 for l.
2
Suppose -4*y - 5*u + 8 = 0, -5*y = -4*y - 5*u - 27. Solve -2*a + y*a = 0 for a.
0
Let a(w) = -w**3 - 14*w**2 - 14*w - 10. Let s be a(-13). Let t be 2*(s + 1/2). Suppose 0 = -q + 4*q - 27. Solve 4*z + q + t = 0 for z.
-4
Suppose 0 = -2*o - 0*o + 15*o. Solve 4*m + 12 + o = 0 for m.
-3
Let l = 4 + -5. Let v be ((-2)/4)/(l/36). Suppose 0 = -c + 4*c - v. Solve 5*i - c*i = 3 for i.
-3
Suppose 4*a + a = -25. Let c(v) = v**2 + 4*v - 5. Let m be c(a). Solve -2*b + 7*b = m for b.
0
Suppose -11*c + 8*c + 60 = 0. Solve -5*j = -10*j + c for j.
4
Let v(k) = 17*k - 5. Let m be v(1). Solve -2*a + 6*a - m = 0 for a.
3
Let z(r) be the third derivative of -r**6/120 + r**5/20 + 5*r**4/24 - 2*r**3/3 - r**2. Let m be z(4). Solve -3*x + m*x = 0 for x.
0
Let d be (-480)/27 + 8/(-36). Let x = d + 7. Let k(u) = -u**3 - 10*u**2 + 10*u - 11. Let r be k(x). Solve 4*b + b = r for b.
0
Let u(g) = -20*g. Let h be u(-1). Suppose -2*q = 3*q - h. Solve -1 = -3*m - q for m.
-1
Let p be (-113)/(-7) + (-11)/77. Suppose -5*l = -4 - p. Solve 6 = l*a - 10 for a.
4
Let q(b) = -b - 9. Let z be q(-1). Let n be (-13)/(-2)*(3 + -1). Let u = z + n. Solve -3*f + u = 2*f for f.
1
Suppose -8*b = -13*b + 5. Solve -3 - b = t for t.
-4
Suppose -c = m + 4*c - 27, -4*c = 5*m - 30. Solve -8 = m*q + 2*q for q.
-2
Let v be (1 + 1 - 8)/(-2). Let c = 5 + -1. Solve f = -v*f + c for f.
1
Let r = 16 + -5. Let f = r + -7. Solve 14 + 2 = -f*a for a.
-4
Let x(l) = l**2 + 1. Let u be x(-1). Solve -u = -3*b + b for b.
1
Suppose -7*i + 5 = -2*i. Let n(v) = -v**3 - 3*v**2 + 4*v + 3. Let q be n(-4). Let u = 11 + -4. Solve -q*f = i - u for f.
2
Suppose 4*g + 4*x = 2*g - 6, -2*g + 4 = -x. Let q be (4 - -7)*(2 - g). Solve -1 + q = -2*h for h.
-5
Let p(k) = k - 3. Let d be p(4). Let j = 10 - 4. Suppose 6*u - 4*u = j. Solve -u*h = -d + 13 for h.
-4
Let r(l) = 2*l - 7. Let c be r(5). Suppose -2*g = p - 5, -2*g + 2*p = -2*p. Let u be (-1)/2*g/(-1). Solve -c*i - u = -13 for i.
4
Let r(c) = 2*c + 12. Let z be r(-6). Solve -3*i + 0*i - 3 = z for i.
-1
Let h = -24 - -38. Suppose r - 2*i = 4*r - h, r - 3 = i. Suppose 0 = -0*q - 3*q, 2*o + 5*q = r. Solve m = o - 3 for m.
-1
Suppose -64 = -2*c - 2*c. Suppose -6*u = -2*u - c. Let b = 2 - 2. Solve -u = a - b*a for a.
-4
Let u be 3 + (-2 - 1)/(-3). Suppose -2 - 6 = -u*d. Suppose 0 = -2*l + d. Solve -2 + l = -x for x.
1
Let m(j) = j**2 + 2*j + 3. Let o be m(-5). Suppose 0 = 2*u - 3*u + o. Let f be 4 + (u/(-3))/(-2). Solve -3*v = -f*v for v.
0
Suppose 14 - 2 = 4*i, 3*i - 34 = -5*u. Suppose -u*b + d + 14 = -0*b, -24 = -4*b + 4*d. Solve p = b*p - 4 for p.
4
Let x(i) = i**3 - 6*i**2 + 2*i - 7. Let p be x(6). Suppose 7*v = p*v + 6. Solve 3*c + v = -0 for c.
-1
Let z(x) = 2*x - 15. Let s be z(10). Solve 0*r - s*r + 15 = 0 for r.
3
Suppose 4*s - 3 = -2*o + 5, 2*s = 4. Solve x + o*x = 0 for x.
0
Let i(p) = -9*p - 9. Let b(a) = 5*a + 5. Let c(m) = 7*b(m) + 4*i(m). Let s be c(-8). Solve 5*x + s = -18 for x.
-5
Suppose -5*s = 4*i, -2*s - 7 = -3*i + 6*i. Solve -s*m + 7*m = -6 for m.
-2
Let c be 18/(-15)*10/(-4). Let r = 6 - 4. Solve 5 = r*a - c*a for a.
-5
Suppose -4*o = -3*h + 7 - 21, -3*h - 3*o = -21. Solve -h*j + 5 = -3 for j.
4
Suppose -5*n + 4*r + 11 = 3*r, 16 = 4*r. Suppose -n*f - 5 = -4*f. Solve d + 3 = f for d.
2
Let l(g) be the second derivative of -g**4/12 + 4*g**3/3 - 3*g**2/2 - g. Let k be l(5). Solve -4*u + 0*u = k for u.
-3
Let c(v) = -v - 7. Let s be c(-7). Solve s = -4*x - x for x.
0
Suppose 0 = -y - 2*y. Suppose 5*h - 11 = 2*j, -2*h - 1 = -0*j + j. Let b be ((-3)/h)/(6/(-10)). Solve -t + y*t = b for t.
-5
Suppose 2*q - 2 = 2*v + 2*v, -3*q = -2*v - 3. Solve 5*y - 3*y = v for y.
0
Let g = 3 + 0. Suppose 0 = 2*z - f - 1, z + g*f = -2*f + 28. Solve 4*b - 1 - z = 0 for b.
1
Let h(m) = -10*m - 2*m**2 + 5*m**2 + 4 + 2*m**2 - 4*m**2. Let l be h(10). Solve l = -3*s - 8 for s.
-4
Let j(y) = -y**2 - 14*y + 19. Let h be j(-15). Solve -h*l + 2 = -2*l for l.
1
Let x be (9 - 5) + -4 + 1. Solve -3*c + 4 - x


 14 + 838*z to b + v*z and give v.
-380
Rearrange -52*r + 95*r + 3*r - 52*r + 193 to v*r + j and give v.
-6
Express -24 - 28 + 86411*z**3 - 28 - z - 3*z**2 - 86418*z**3 in the form j*z**2 + t*z**3 + o + h*z and give t.
-7
Rearrange (-5 - 6*k + 5)*(10*k + 3*k - 6*k) + (-3*k - 3*k + 7*k)*(55*k - 33*k - 35*k) to v + j*k + z*k**2 and give z.
-55
Express -161*r**3 - 90 - 20 + r - r**2 - 2*r**4 + 3*r**2 + 161*r**3 in the form w*r**4 + b + i*r**2 + p*r**3 + y*r and give b.
-110
Rearrange (-42 + 11*l + 42)*(40 - 100*l**2 - 13 + 101*l**2) to the form t*l**2 + w*l + o + m*l**3 and give o.
0
Rearrange -2 + 5 - 24*y**4 - 3*y**2 - 117*y - 4 + 0 + 28*y**4 to the form q + w*y**3 + b*y**2 + r*y**4 + h*y and give r.
4
Express -4*i**2 + i**2 + 2*i**2 + (568*i - 16 - 567*i - 44)*(14*i + 47*i + 43*i) as m + c*i**2 + o*i and give o.
-6240
Express (13815 - 13815 + 264*h)*(1 - 2 - 7)*(h + h - h) in the form r*h + k*h**2 + n and give k.
-2112
Rearrange (-3 - 3 + 2)*(-894*k**2 + 454 + k + 888*k**2 + 380) to the form y + o*k**2 + g*k and give g.
-4
Rearrange (-1846 + 7*c**2 + 0*c**2 - c + 1857)*(2 + 0 - 3 + (1 - 2 + 3)*(-5 - 1 + 3))*(4*c - 2*c - c) to the form y*c**2 + g*c + z + l*c**3 and give l.
-49
Express (-16298*f**2 + 16298*f**2 + f**3 + 542*f)*(42 + 6*f - 46 + 2*f) as y + w*f**3 + z*f + v*f**2 + b*f**4 and give v.
4336
Express -650*i**2 + 648*i**2 + 4062 - 72 as x + p*i**2 + t*i and give p.
-2
Express 2*i**3 + 20*i**2 + 8522280*i - 8522280*i - 8 + 0*i**3 as o*i**3 + f*i**2 + g*i + t and give o.
2
Rearrange 0 + 47 - 2 + 2659*m - 45 to f*m + d and give f.
2659
Express (-19 - 17 - 24)*(27*x + 49*x + 19*x)*(1 - 2*x - 1) as c*x**2 + y + o*x and give c.
11400
Express (19 + n - 42 + 22)*((0 + 2*n + 0)*(2*n + 2*n - 6*n) + 2*n - 2*n + n**2 - 491 + 28948*n + n**2 - 28948*n) as s*n + h*n**2 + r + q*n**3 and give s.
-491
Rearrange (47 - 16 - 12)*(0 + 0 - 3*a) + 21*a + 12*a - 16*a to the form x + b*a and give b.
-40
Express -4 + 138*j**2 + 103*j**2 - 2*j - 26*j**3 - 4*j**3 - 239*j**2 as l + d*j + w*j**3 + z*j**2 and give l.
-4
Rearrange (-1 - 7 + 0)*(-37*l + 13*l - 106*l) + (l + l - 3*l)*(-2 + 2 + 2) to the form c + m*l and give m.
1038
Rearrange 1171019*s + 22*s**4 - 1 + 2*s**3 - s**2 - 1171019*s + 7*s**4 to m*s**2 + o*s**3 + n*s**4 + i + c*s and give m.
-1
Express (2*x - 13 + 0*x - 17)*(-4 + 88 - 44) as k + a*x and give k.
-1200
Rearrange -6937767*s + 2 + 4 + 6940063*s to the form a*s + v and give a.
2296
Express 20 - b**3 - b**3 - 7*b**2 - 104 + 3*b**2 + b as s + f*b + j*b**3 + t*b**2 and give s.
-84
Rearrange (-3*h**4 + 2*h**4 - 4*h**4)*(8 - 222 - 83)*(-1 + 3 - 1) - 4 - h**4 + 4 to the form s + t*h**2 + k*h**3 + l*h + r*h**4 and give r.
1484
Express (-2*m - 2 + 2)*(26*m + 25*m + 27*m + 3635 - 7*m - 69*m) as a*m + q + i*m**2 and give a.
-7270
Rearrange 2855*h**2 - 42*h**2 + 1227*h**2 to l + j*h + a*h**2 and give l.
0
Express (-2 + 1 + 14)*(-11*l - 1127*l - 347*l) - l + 2*l - 2*l as v + c*l and give c.
-19306
Express 2*a**3 + 3*a - 3*a + (-3*a - 2*a + 6*a)*(a + 2*a**2 - a) - 3*a**2 - 10387*a - 8372*a + a**3 + 20675*a in the form y*a**2 + h*a + u + d*a**3 and give d.
5
Rearrange (-17134345 - 1983*t + 17134345)*(-2 - 2 + 2) to s*t + y and give s.
3966
Rearrange 4*b**3 - 3*b**3 + 35*b**4 + b**3 - 2*b + 0 + 0 to c*b**2 + d*b**4 + y*b + z + f*b**3 and give f.
2
Rearrange -4*z + 3*z + 3*z + (z + 0*z - 2*z)*(-325 - 477 + 695 + (3 - 3 - 2)*(-1 - 2 + 5) + 1 - 2 - 1 - 2 + 1 - 4) to the form o + d*z and give d.
120
Rearrange (s + 3*s - 5*s)*(19*s - 17*s - 15*s)*(2 + 5 - 4 + (-1 + 0 + 0)*(1 - 1 + 2)) to the form n + x*s**2 + u*s and give x.
13
Express 1336 - 2689 - 13201*w + 1353 in the form n + l*w and give l.
-13201
Rearrange (-5*f - 6*f + 2*f)*(7639 - 7908 + 5808 + 1327) to g*f + o and give g.
-61794
Rearrange 67*x**3 - 144*x**3 + 114*x**3 + 200*x**3 - x**2 + 2*x to t*x + q*x**2 + y + v*x**3 and give v.
237
Rearrange (53*y - 32*y - 26*y)*(1 - 3 - 1)*(0*y - 4*y**2 + 0*y) to the form n*y + t*y**3 + v + q*y**2 and give t.
-60
Rearrange -51126*a**2 + 51090*a**2 - 23 - 3*a + 3 + 3*a to the form c + j*a + k*a**2 and give k.
-36
Express -90*y**4 - 82*y**4 + 110*y**4 + (-7*y**3 + 3*y**3 + 3*y**3)*(0*y + 0*y + y) - 6*y**4 + y - y in the form a*y**2 + j*y + z*y**4 + f*y**3 + q and give z.
-69
Express (2*y - 6*y + y)*(3469 - 6760 + 3498) in the form i + c*y and give c.
-621
Express (-99 + 163 - 946)*((p - 3*p + p)*(2 - 2 - 1) + 5 - 5 + 3*p + 5 - 5 - p) in the form v + n*p and give n.
-2646
Rearrange -59*n - 7 + 341*n + 2 + 80*n to x*n + z and give z.
-5
Express 1201 - 3*l**2 + 1202 - 2403 + 191*l in the form u*l**2 + r*l + i and give u.
-3
Rearrange 605*d**3 - 366*d**3 + 216*d - 238*d**3 + 16*d**2 to the form g + q*d + y*d**3 + j*d**2 and give y.
1
Rearrange (59 - 59 - 9*y)*(-246*y - 250*y - 229*y + 173*y) to a*y**2 + t + x*y and give x.
0
Rearrange -103 + 14*c**2 + 103 + (49*c**2 + 50*c**2 - 3*c**2 - 17*c**2)*(-18 - 22 + 23) to the form q + p*c + t*c**2 and give t.
-1329
Rearrange -11 + 25413*t - 4 - 25411*t + (0*t - 2*t + 0*t)*(3 - 2 - 2) to f + u*t and give u.
4
Express 55889*h - 111783*h - 1387*h**3 + 55883*h in the form s*h + b*h**2 + t*h**3 + w and give t.
-1387
Express -2*o**4 + 4*o**4 + 22 + 34*o**2 + 2 - 15*o - o**3 - 22 + 0*o**4 in the form z + y*o + h*o**2 + x*o**4 + q*o**3 and give y.
-15
Rearrange 1208*h - 2648*h + 668*h - 3163*h to f*h + d and give f.
-3935
Rearrange -g + 159 + 14*g**2 - 159 + 3*g**2 - g**2 - 3*g**2 + (0*g - g + 0*g)*(1 - 1 + 2*g) + 4*g**2 + 3 - 3 to the form v*g + h + l*g**2 and give l.
15
Rearrange (-7 - 2 - 4)*(-546 - 729 + 1695)*(0*a - a - 2*a) to x*a + d and give x.
16380
Express (-2*d + 5 - 5)*(-2 - 2 + 1) - 10 + 26 - 40 + 162 + 6*d - 4 in the form h + b*d and give b.
12
Rearrange 5*a + a + a + (-2 + 1 - 1)*(25*a - 21*a + 127*a) + 2*a - 6*a + 2*a to q*a + m and give q.
-257
Rearrange 11 + 23*d**3 + 22*d**2 + 1197*d - 604*d - 595*d - 8 to z*d + c + r*d**3 + x*d**2 and give c.
3
Express (0*a + 2*a + 0*a)*(-2 + 6 - 2) - 4156*a - 7754*a - 22779*a + 3552*a - 3530*a - 42364*a in the form c + w*a and give w.
-77027
Rearrange -38*w + 130*w + 78*w - 25*w - 6*w**3 - 1 - w**2 to the form l*w + q*w**2 + g + n*w**3 and give l.
145
Rearrange (290*b + 741*b - 344*b)*(1 + 11*b - 6*b - 3 - b**2) to the form z + d*b**3 + i*b + j*b**2 and give j.
3435
Express 16*c**3 - 11*c - 22*c**2 + 55*c**2 - 33*c**2 + 3*c - 1 as d + l*c**3 + a*c + m*c**2 and give d.
-1
Express (s - 2*s + 0*s)*(204*s**2 - 1281 + 1281) - 3 - 53*s**3 - 4 + 51*s**3 as c + d*s**3 + t*s**2 + z*s and give c.
-7
Rearrange 1560*l**2 - 510 + 1109*l - 1116*l + 510 to n*l**2 + t*l + g and give n.
1560
Rearrange 1127*t - 2256*t + 1129*t + 2*t**2 - 3800 - 3*t**2 to the form r*t**2 + s + p*t and give r.
-1
Express 21 - 220260*z + 206919*z - 12 - 7 in the form a + n*z and give a.
2
Rearrange -203 + 4*f**3 + 2796*f**2 - 2*f + 526 - 3*f**3 - 321 to b*f**3 + q*f**2 + r*f + x and give q.
2796
Express -17*b**2 - 6*b**2 + 16*b**2 + 22 - 18*b**2 - 22 + (-1 - 2*b**2 + 1)*(5 - 5 + 3) in the form t + f*b**2 + r*b and give f.
-31
Express (-3*o**2 - o**2 + 5*o**2)*(5*o - 2*o - 2*o) + 2*o**3 + o**3 + 3*o**3 + o**3 + o**3 + 257*o**2 - 25*o**2 as y*o + s + u*o**2 + t*o**3 and give u.
232
Express 3*o**3 - 1 + 9045*o + 20*o**2 - 12*o**4 - o**3 + 1 - 9043*o as f*o**2 + j + q*o + u*o**4 + i*o**3 and give q.
2
Rearrange -m**2 + 166 + m - 14*m**3 + 6*m**3 + 68 to f + j*m + o*m**3 + d*m**2 and give d.
-1
Rearrange 353831*y**3 - y**2 - 353836*y**3 - 3 + y**4 - 13*y + 2 to the form t*y**4 + w*y**2 + j*y + p + o*y**3 and give t.
1
Express -v**2 + 20452*v - 38026*v + 19549*v in the form g*v**2 + l + w*v and give g.
-1
Rearrange 2*q**2 - q**2 - 668 - 4*q**2 + 6*q**2 - 12*q**2 to the form g*q**2 + h + u*q and give g.
-9
Rearrange -r - 16*r**4 + 5*r**4 - r + (0*r + 0*r - 2*r**2)*(499*r**2 - 217 + 217) to g*r + j*r**4 + y*r**3 + n + c*r**2 and give g.
-2
Rearrange ((-2*k + 2*k + 12*k)*(1 - 2 + 3) + 9*k - 2*k + 2*k)*(51 + 8*k - 51) to r + l*k + d*k**2 and give d.
264
Rearrange -10045*p**2 + 5*p**3 + 2*p + 25 + 10047*p**2 - 18 to the form d*p + r + s*p**3 + x*p**2 and give s.
5
Express -25*z + 0*z + 6231 + 2*z - z**2 + 71*z**3 - 6230 in the form c*z + n*z**3 + y + j*z**2 and give n.
71
Rearrange -36*y**3 + 108*y**2 - 54*y**2 - y + 2*y + 2*y + 2 -


 of c**5/60 - c**4/4 + 5*c**3/3 + 15*c**2. Let t be f(5). Solve 0 = -t*w - 0*w for w.
0
Let g(f) = f**2 + 2*f - 12. Let q be g(-5). Solve -1 = q*w + 8 for w.
-3
Let f be 22 - (-5 + -2 + 3). Solve -5*w + f - 6 = 0 for w.
4
Let q be (-3)/(15/10)*-4. Suppose q*k = k. Solve -4*w - w = k for w.
0
Suppose 32 = 5*l + a, l + 0*a = 2*a + 2. Solve -4 + 16 = -l*n for n.
-2
Let o(h) = -7*h**3 + 11. Let c(b) = -13*b**3 + 21. Let n(t) = 6*c(t) - 11*o(t). Let r be n(0). Suppose -r = -5*v - 0*v. Solve -2*w - v = -3 for w.
1
Let p = 15 - 29. Suppose 15*r + 408 = -9*r. Let b = p - r. Solve -2*f - b*f = 5 for f.
-1
Let s(f) = -7*f + 33. Let w be s(6). Let r be 6/w*(2/1 + -5). Solve r*d + 1 = 3 for d.
1
Let u = 13 + -15. Let d = 2 - u. Suppose 0*i + i = d. Solve 0*r + 20 = i*r for r.
5
Suppose -8 = -9*s + 5*s. Suppose 3*n = -s*m + 6*m - 63, 0 = -4*m - n + 43. Let v = m + -3. Solve -4*c + v + 3 = 0 for c.
3
Let s be (6 + 105/(-10))/((-21)/224). Solve -13*j + s = -17 for j.
5
Let f(d) = -d**3 - 22*d**2 - d - 13. Let s be f(-22). Let k = s - 7. Solve 0 = 4*q - k*q for q.
0
Suppose 4 = -23*d + 50. Solve -d = 2*c - 12 for c.
5
Let a = -27 + 33. Suppose -h = -4*h. Suppose 2*k + 3*k + 5*m = h, a = 5*k + 2*m. Solve k*l = l for l.
0
Let n(i) = -i**2 - 4*i. Suppose -4*a - 29 = -13. Let v be n(a). Solve -q + 3*q = v for q.
0
Suppose 17*q - 10 = 13*q + 2*p, 0 = -5*q + 2*p + 14. Solve 4 = q*u - 0 for u.
1
Let n(j) = 4*j**3 + 6*j**2 + 12*j + 7. Let d(u) = -u**3 - u + 1. Let h(o) = 5*d(o) + n(o). Let w be h(7). Let y = w - 12. Solve y = p + p - 4 for p.
2
Let d(r) = 3*r**2 + 26*r - 22. Let x(m) = -m**2 - m + 1. Let g(j) = d(j) + 5*x(j). Let s be g(9). Solve -2*h + s = -7*h for h.
-2
Suppose -h - 4 = 0, -5*h + 6*h - 14 = -3*w. Solve -9 = 3*i + w*i for i.
-1
Suppose 269 + 331 = 25*j. Solve 2*c + 14 = j for c.
5
Let m(a) be the first derivative of 2*a**2 - 24*a - 4. Let d be m(11). Solve 5 = -5*r + d for r.
3
Suppose -v + 22 = 3*r + 5, -3*v - r = -59. Suppose 0 = d - 2*d - 3*m - 4, 2*m - v = 5*d. Let b be 3 + (d + 3 - -1). Solve -b*q + q = -10 for q.
5
Let a(b) = -b**3 + 8*b**2 + 2*b - 58. Let h be a(7). Solve i + h = 10 for i.
5
Let j = 62 + -59. Solve -23 + j = -4*k for k.
5
Suppose 0 = -10*k - 0*k + 60. Solve 18*d - k*d = 0 for d.
0
Let q(g) = g**2 - 5*g + 5. Let c be q(5). Suppose 0 = 2*h + 6*d - d - 29, 5*h - 4*d = -10. Let z be (4 - h)*(-3 - -4). Solve c*o = -z + 7 for o.
1
Let n be (28 - 3)*1/1. Let i = 26 - n. Solve i = -3*m - 8 for m.
-3
Let a(d) = d**3 - 5*d**2 + 2*d - 5. Let t be a(5). Suppose 2*z - t*j = 9 + 25, -4*z + 50 = -j. Let q be (-2)/z - (-2)/12. Solve q = -g + 3*g - 6 for g.
3
Suppose -g + 4*n - 5 = 0, 5*n + 2 = 12. Solve -8 = -g*s - 2 for s.
2
Let a be (-14)/(-70) - (-2)/((-20)/2). Suppose a = -2*b + 4*f - 0*f + 14, 0 = 2*f + 2. Solve -b*k = 9 - 29 for k.
4
Suppose 0 = -3*g + 16 + 14. Let y = 18 - g. Let s be 2*(-4 - -5)*1. Solve -s*k + 0 = -y for k.
4
Suppose -u + 5*d + 20 = 0, 1 = -0*u + 2*u + 3*d. Let i = u + -4. Let o be 3*4/6*i. Solve -r = r + o for r.
-1
Let h = -314 - -335. Solve -h = -j - 22 for j.
-1
Suppose -5*v - j = 268, 3*v - 5*j + 0*j = -172. Let y = v + 64. Solve -y*a + 8*a = -6 for a.
3
Let s(a) = -2*a**3 - a**2 - 3*a + 2. Let d be s(0). Solve -d*p + p = -5 for p.
5
Let n(l) = 2*l**2 - l - 2. Let a be n(2). Let j = 66 - 63. Suppose 16 = f + j*x - 10, 20 = 4*x. Solve -a*r + f = -5 for r.
4
Let v(m) = -m**2 - 23*m - 16. Let u be v(-22). Suppose -36 = -3*l - u. Solve 3*y + 2*y + l = 0 for y.
-2
Let y = 250 - 249. Suppose -2*g - 60 = -5*g. Suppose p = -4*p + g. Solve x + y = -p for x.
-5
Let t = 939 + -915. Solve 4*j = t - 8 for j.
4
Let y be -3*10/(1*-2). Suppose -3*s + 2*s = -4*j - 83, -4*s - j + 383 = 0. Suppose -s*d + 20 = -91*d. Solve -2*n - y = -d for n.
-5
Let n be -6 - 1*(-4)/1. Let i be n/(-7) + 1062/(-42). Let v = -21 - i. Solve 4 = v*c - 2*c for c.
2
Let z = -103 - -117. Suppose -k - 3*h + z = 0, -3*h + 6 = -2*k - 2. Solve -5 = -k*m + 3*m for m.
-5
Let b(f) = f**3 + 7*f**2 + 3*f - 4. Let r(l) = -3*l**2 + 2*l + 2. Let q be r(2). Let o be b(q). Solve -2*j + 4 = o for j.
-5
Let m = -373 + 379. Solve -m*z - 2 = -20 for z.
3
Suppose -31 = -3*b - 1. Solve -4*v + b = -6*v for v.
-5
Let s(r) = -r**2 + 7*r + 31. Let m be s(9). Let q = -13 + m. Solve q = 3*a + a for a.
0
Let b(y) = -4*y**2 + 5*y + 7. Let a be b(0). Let p be ((-10)/(-4))/(2/4). Solve a*i = 2*i - p for i.
-1
Let h = 10 - 8. Suppose -h*i + 0*i - 2*i = 0. Solve 0*n + 2*n + 10 = i for n.
-5
Let s = -6 - -23. Suppose 12 = 20*d - s*d. Solve -5 = -d*n - 1 for n.
1
Let t(s) = -s**3 + 5*s**2 - 4*s - 1. Let r be t(3). Let v(b) = 5*b + 27. Let h be v(-4). Solve r*n - 8 = h*n for n.
-4
Let p be 14/(-24)*-94 + 12/72. Solve -13*r + 10 + p = 0 for r.
5
Suppose 79 - 51 = 3*f + 11*f. Let j(v) = v**2 + 2*v + 1. Let n be j(-1). Suppose 4*b + n*b - 20 = 0. Solve 0 = -b*s + f - 22 for s.
-4
Let t be (-25)/2*(-36)/45. Solve 0 = t*p - 6*p + 16 for p.
-4
Suppose -7*l + 5*l + 4 = 3*s, -5*l + 10 = 4*s. Solve 4*o - l*o = 6 for o.
3
Let p = 16 - 11. Suppose 4*d + 11 - 35 = 0. Solve -p = -u + d*u for u.
-1
Let v(m) = m**2 - 4*m - 8. Let a be v(6). Suppose 342*c - 340*c = 10, 15 = 2*h + 3*c. Solve -a*d = -h*d + 8 for d.
-2
Suppose -4*h + 2*h = -6. Let u be h/5*5 - 1. Solve -10 + u = 2*z for z.
-4
Suppose 2*p = 5*a + 1, -5*a - p + 2 = -2*p. Let y be 36/24*(-3 + 1). Let c be (a/2)/(y/(-12)). Solve 0 = -6*u + c*u for u.
0
Let y(h) = h**2 + 6*h - 32. Let d be y(-10). Suppose -5*a - 3*a + d = 0. Solve a = -k - 0 for k.
-1
Suppose 4*p - 3*p = 0. Let x(h) = 2*h + 15. Let r be x(-7). Solve v = -r - p for v.
-1
Let o(z) = -4*z + 85. Let g be o(20). Solve g*l - 16 = l for l.
4
Let x(r) be the second derivative of r**5/20 - r**4 - 11*r**3/6 - r**2/2 - 18*r. Let z = -12 - -25. Let u be x(z). Solve -u = 6*m - m for m.
-5
Suppose -v = -5*d - 3*v + 53, 4*d + 5*v = 56. Let r(u) = u**3 + 15*u**2 + 16*u + 28. Let m be r(-14). Solve m = 5*q - 4 + d for q.
-1
Suppose 2*u - 8*u = -12. Suppose -3 = -u*r + 7. Solve 0 = -9*h + 4*h + r for h.
1
Suppose 0 = -16*h + 30*h - 210. Solve -19 = 4*l - h for l.
-1
Let t(x) = 5*x**3 - x**2 + 1. Let o be t(-1). Let h(z) = -3*z - 13. Let a be h(o). Solve -a*l + 1 + 1 = 0 for l.
1
Let c(q) = q**2 + 1. Let t(o) = -3*o - 3. Let j(m) = c(m) + t(m). Let b be j(4). Let k(a) = -a**3 - 2*a**2 + 12*a - 8. Let p be k(2). Solve b*l - 5*l = p for l.
0
Suppose 12*r = 7*r + 35. Solve 8*b - r*b - 5 = 0 for b.
5
Suppose -19 = 4*c - 31. Solve c*m + 4 = 10 for m.
2
Let m(h) = h**2 + 3*h. Suppose -3 - 1 = y. Let v be m(y). Suppose 0 = 5*w - v*x - 26, w - 8 = x - 2. Solve 4*n - 6 = w*n for n.
3
Suppose -t + 41 = -d, -16 = -t + 5*d + 5. Suppose 4*r + t = 5*m + 6*r, 2*r = -2*m + 16. Solve -5*y - m - 10 = 0 for y.
-4
Suppose 7*a = -81 + 746. Let u = a + -92. Let q be (-2)/5 + 7/5. Solve q = d - u for d.
4
Suppose 0 = -54*b + 57*b - 72. Solve b = 5*i + 4 for i.
4
Let d(x) = -2*x**2 - 8*x - 1. Let s be d(-3). Let r be s/(-2) - (-36)/8. Solve c + 9 = -r*c for c.
-3
Let c(p) = -p**2 - 12*p + 48. Let j be c(-15). Let v(i) = 9*i - 22. Let g be v(j). Solve 3*n = 17 - g for n.
4
Let j(c) = -10*c - 77. Let h be j(-8). Solve -h*p = -12*p - 27 for p.
-3
Let x be (-5)/(1*(-4 - -3)). Suppose -5*m - 2*a + 10 = -4*m, x*m = 2*a + 62. Solve 6*n - m = 2*n for n.
3
Let u(g) = -10*g**2 + 7*g**2 + 0*g**2 - 8*g + 2*g**2. Let x(q) = -q**3 + 2*q**2 + 2*q - 3. Let t be x(3). Let m be u(t). Solve 5*o - o = -m for o.
-3
Let x be (-16)/(-12) - (-296)/12. Let j = 28 - x. Solve -b + 3 = -j for b.
5
Suppose 10*u - 33*u = 9*u. Solve 0 = 5*w - u - 20 for w.
4
Suppose -g = 2*o - 6*g + 5, 2*o - 7 = g. Solve 3*i = o*i for i.
0
Suppose 0 = -4*h - 2*p + 98, -54 = -3*h - 5*p + 37. Suppose 5*t = 3*x + 5, -2*x + h = 3*t - 0*x. Solve b - 3*b = t for b.
-2
Let u(w) = w**3 - 13*w**2 - 28*w - 30. Let m be u(15). Solve m = 5*a + 9 - 4 for a.
-1
Let q be -1 - (-4 + 1 + 1) - -7. Let h(i) = i**3 - 9*i**2 + 12*i - 17. Let j be h(q). Solve -2*r - r = -j for r.
5
Let f(c) = 6*c + 33. Let r be f(-5). Solve -7*g - 16 = -r*g for g.
-4
Let v be ((-2)/(-11) + (-345)/(-220))*4. Solve v*k - 10 = 4 for k.
2
Let g(m) = -8*m - 32. Let s be g(-4). Solve s = -5*n - 24 - 1 for n.
-5
Suppose 0 = 60*p - 23*p. Solve p = n - 2*n for n.
0
Let o(b) be the first derivative of -b**2 -