/5*s**2 - i*s**4 - 1/5*s**3 + 0*s + 0 - s**5.
-s**2*(s + 1)**2*(5*s - 2)/5
Suppose 2*p - 5 = -5*d, -d + 18 = 3*p + 4. Determine x, given that -4*x**p - 11*x**4 + 7*x**4 + 4*x**3 + 2*x**2 + 2*x**2 + 0*x**3 = 0.
-1, 0, 1
Let x(o) = -22*o + 5*o + 1 - 2. Let v be x(-1). Suppose -2*z - 10*z**3 - 2*z**3 - 7*z**4 + v*z**5 - z**4 + 10*z**2 = 0. What is z?
-1, 0, 1/2
Let j(s) be the second derivative of s**7/14 + s**6/10 + 6*s. Solve j(a) = 0.
-1, 0
Let g(s) be the first derivative of -2*s**6/21 + 4*s**5/35 + 5*s**4/7 + 4*s**3/7 + 46. Suppose g(x) = 0. Calculate x.
-1, 0, 3
Let x = -142 + 569/4. Let z(j) be the second derivative of 2*j - 27/2*j**2 + 3*j**3 + 0 - x*j**4. Suppose z(q) = 0. What is q?
3
Let a(y) be the first derivative of 0*y - 3/2*y**2 - 2 - 3/4*y**4 + 2*y**3. What is g in a(g) = 0?
0, 1
Let h(r) = 5*r**2 - 2*r - 3. Let b(j) = 11*j**2 - 5*j - 6. Let a(w) = 2*b(w) - 5*h(w). Factor a(l).
-3*(l - 1)*(l + 1)
Let q(b) = 2*b**3 + b**2 - 3*b - 1. Let r be q(-2). Let w be ((-1)/2)/(r/84). Factor 0 - w*u + u**2 + 0 - 4 - 3*u**2.
-2*(u + 1)*(u + 2)
Let q(l) = 4*l**5 - 4*l**4 - 2*l**2 - l - 3. Let s(n) = -5*n**5 + 5*n**4 - n**3 + 3*n**2 + 2*n + 4. Let w(p) = -4*q(p) - 3*s(p). Find o such that w(o) = 0.
-1, 0, 1, 2
Let d(c) be the first derivative of -c**7/420 - c**6/80 - c**5/40 - c**4/48 - 3*c**2/2 + 5. Let t(s) be the second derivative of d(s). Solve t(y) = 0 for y.
-1, 0
Suppose -6*s = -11 + 11. Factor s + 3/5*x**3 - 3/5*x**4 - 3/5*x**5 + 3/5*x**2 + 0*x.
-3*x**2*(x - 1)*(x + 1)**2/5
Suppose -5*b + 9 = -11. Factor -2*x**3 - 5*x**2 + 9*x**3 + 8*x**3 - 2 - 9*x - 6*x**3 + 7*x**b.
(x - 1)*(x + 1)**2*(7*x + 2)
Let k be 8 - (-2)/3*-6. Let g(i) be the second derivative of 0 - 2/21*i**3 + 1/42*i**k - 3*i + 0*i**2. Factor g(z).
2*z*(z - 2)/7
Let a(f) = 5*f**3 + 2*f**2 - 8*f - 8. Let z(d) = 9*d**3 + 4*d**2 - 16*d - 16. Let c(s) = 10*a(s) - 6*z(s). Factor c(l).
-4*(l - 2)*(l + 1)*(l + 2)
Suppose 2*l = -5*j + 20, 2*l + 3*j - 26 = -2*l. Let a(p) be the second derivative of 2*p - 1/27*p**3 + 1/90*p**l + 1/54*p**4 + 0 - 1/9*p**2. Factor a(s).
2*(s - 1)*(s + 1)**2/9
Factor -36*h**2 - 42*h**4 + 37*h**4 + 6*h**2 + 35*h**3.
-5*h**2*(h - 6)*(h - 1)
Let n(d) be the second derivative of -d**6/50 + 39*d**5/100 - 12*d**4/5 + 18*d**3/5 - 23*d. Solve n(m) = 0.
0, 1, 6
Let i(r) = -r**3 + 8*r**2 - 6*r - 7. Let m be i(7). Factor -4*o + 4*o + o**2 - 2*o - 1 + 2*o**3 + m*o**3.
(o - 1)*(o + 1)*(2*o + 1)
Let i(o) be the third derivative of 1/60*o**6 + 0*o**3 + 3*o**2 + 0*o + 0*o**4 + 1/30*o**5 + 0. Factor i(w).
2*w**2*(w + 1)
Let d(u) be the third derivative of u**5/110 + u**4/11 - 4*u**2. Factor d(k).
6*k*(k + 4)/11
Let c be 369/(-1242) + (-2)/(-12). Let g = c - -29/46. Factor 1/2*k**3 + g*k**2 - 1/2 - 1/2*k.
(k - 1)*(k + 1)**2/2
Factor 8/3*r**3 - 2/3 + 0*r**2 - 2*r.
2*(r - 1)*(2*r + 1)**2/3
Suppose -4*m = m - 15. Determine k, given that 15*k**2 + 9*k**3 + 8*k - m*k**4 - 6*k - 3*k**5 + 4*k = 0.
-1, 0, 2
Let t(w) be the third derivative of -3*w**5/70 - w**4/42 - 12*w**2. Factor t(l).
-2*l*(9*l + 2)/7
Let z(q) = q**2 - q - 10. Let v be z(4). Let s be 2*1 + (-6)/4. Let 1/2*l**v - l + s = 0. Calculate l.
1
Let o(j) be the second derivative of j**6/150 - j**5/100 - j**4/20 + j**3/30 + j**2/5 + 7*j. Factor o(a).
(a - 2)*(a - 1)*(a + 1)**2/5
Let y(p) be the second derivative of p**10/3360 + p**9/1680 + p**8/3360 - 5*p**4/12 - 3*p. Let i(s) be the third derivative of y(s). Factor i(c).
c**3*(3*c + 1)*(3*c + 2)
Let m = -1067/52 + 270/13. Factor 0*y + m - 1/4*y**2.
-(y - 1)*(y + 1)/4
Let v(h) be the second derivative of 1/12*h**4 + h + 0*h**2 + 0 - 1/3*h**3. Factor v(y).
y*(y - 2)
Let i(g) be the third derivative of -g**8/20160 + g**7/5040 + g**5/30 + g**2. Let u(t) be the third derivative of i(t). What is b in u(b) = 0?
0, 1
Let d(i) be the third derivative of i**5/150 - i**4/15 + 4*i**3/15 + 25*i**2 + 1. Factor d(o).
2*(o - 2)**2/5
Let b(i) be the first derivative of -i**6/27 + 4*i**5/45 + i**4/18 - 4*i**3/27 - 13. Find l, given that b(l) = 0.
-1, 0, 1, 2
Factor -2/11*l**4 + 0 - 6/11*l**3 - 6/11*l**2 - 2/11*l.
-2*l*(l + 1)**3/11
Let j(g) = -g**2 - 10*g + 11. Let l(v) = v**2 + v - 1. Let n(k) = -j(k) - 2*l(k). Let o be n(6). Find z such that 40/7*z**2 - 26/7*z - 18/7*z**o + 4/7 = 0.
2/9, 1
Suppose 0*r + 5*o - 16 = r, 12 = 5*r - 2*o. Let v(i) be the second derivative of 4/3*i**3 - 3*i - 4*i**2 + 0 - 1/6*i**r. Factor v(c).
-2*(c - 2)**2
Let a(x) be the first derivative of -640/3*x**2 - 1 - 40/3*x**4 + 640/9*x**3 - 1/18*x**6 + 4/3*x**5 + 1024/3*x. Factor a(m).
-(m - 4)**5/3
Suppose -4/3 - 4/3*w**2 + 8/3*w = 0. Calculate w.
1
Let l(h) be the third derivative of -h**7/5040 - h**6/1080 + h**5/180 + h**4/6 - h**2. Let j(d) be the second derivative of l(d). Factor j(v).
-(v + 2)*(3*v - 2)/6
Let t(p) be the third derivative of 1/7*p**8 + 6*p**2 + 0*p + 47/40*p**6 + 0 + 13/20*p**5 - 1/2*p**3 + 24/35*p**7 - 3/8*p**4. Determine g, given that t(g) = 0.
-1, -1/4, 1/4
Let j be 1/(6/((-24)/(-14))). Factor 2/7*x**2 + 0 - j*x.
2*x*(x - 1)/7
Let 1/2 - 1/2*f**2 - 1/4*f + 1/4*f**3 = 0. What is f?
-1, 1, 2
Let o = 133 + -131. Factor 0 + 1/4*c - 1/4*c**o.
-c*(c - 1)/4
Let d be (-10)/(-4)*297/990. What is s in 1/4*s**3 + d*s**2 + 0 + 0*s = 0?
-3, 0
Suppose 0 = -h + 4*h - 3, 0 = 5*q + 2*h - 12. Let c(p) be the third derivative of 0*p**5 + 1/180*p**6 - 1/36*p**4 + 0*p + 0*p**3 + p**q + 0. Factor c(l).
2*l*(l - 1)*(l + 1)/3
Suppose 5*g + 4 = -r + 18, -r + 8 = 2*g. Let n(q) be the first derivative of 1 + 2/21*q**3 - 1/7*q**g - 4/7*q. Factor n(w).
2*(w - 2)*(w + 1)/7
Let z(f) be the second derivative of -4*f + 0*f**3 + 1/12*f**4 + 0 - 2*f**2. Let z(v) = 0. Calculate v.
-2, 2
Suppose -p + 2*p - 5*s = -22, -p + s - 2 = 0. Let w be (1/(-2))/(2/(-20)). Factor -4*j**2 - 3*j**w - 3*j**3 + j**2 + 6*j**5 + p*j**4.
3*j**2*(j - 1)*(j + 1)**2
Let m(d) be the second derivative of 1/105*d**7 - 1/15*d**3 + 2/75*d**6 + 0*d**2 + 3*d - 1/15*d**4 + 0*d**5 + 0. Determine l, given that m(l) = 0.
-1, 0, 1
Let k be -3*3*(-2)/18. Let y be 36/(-99)*k/(-2). Find s such that -2/11*s**2 + 0 + y*s = 0.
0, 1
Let h be 52/14 + (-4)/(-14). Suppose -3*v = h - 25. Solve -v + 4*z**2 - 2*z**4 + 5 + 0 = 0 for z.
-1, 1
Let 2/17*j**3 + 0 - 2/17*j**2 + 0*j = 0. What is j?
0, 1
Let o = 7 - 6. Let v(q) be the first derivative of -2/5*q**5 - 2/3*q**6 + q**4 + 2/3*q**3 + 0*q + o + 0*q**2. Suppose v(y) = 0. What is y?
-1, -1/2, 0, 1
Let i(l) be the third derivative of l**5/12 - 5*l**4/12 + 5*l**3/6 - 5*l**2. Factor i(n).
5*(n - 1)**2
Let t(u) = 1041*u - 1. Let f be t(-1). Let h = 11478/11 + f. Suppose -8/11 + 6/11*k**2 + h*k - 18/11*k**3 = 0. What is k?
-1, 2/3
Factor 75 - 8*s**3 + 28*s**4 - 75.
4*s**3*(7*s - 2)
Let q = 26 + -46. Let c = -55/3 - q. Factor c*x**3 - 2/3*x**2 + 2/3 - 5/3*x.
(x - 1)*(x + 1)*(5*x - 2)/3
Suppose -9*d + 6*d = 0. Let s(u) be the second derivative of -u**2 + 1/2*u**3 + d - 1/8*u**4 + 1/80*u**5 - 2*u. Let s(c) = 0. What is c?
2
Determine z so that -3*z**3 + 6/5*z - 3/5*z**4 + 3/5*z**2 + 9/5*z**5 + 0 = 0.
-1, -2/3, 0, 1
Let r(h) = h**3 + 4*h**2 + 3*h - 2. Let w(g) = g**2 + g. Let d(y) = r(y) - 4*w(y). Let o be d(2). Determine v, given that 2 - o*v - 2*v + 2*v**2 + 2*v = 0.
1
Let r(d) be the first derivative of -d**6/8 + 3*d**5/20 + 3*d**4/8 - d**3/2 - 3*d**2/8 + 3*d/4 - 7. Factor r(z).
-3*(z - 1)**3*(z + 1)**2/4
Let p(j) be the second derivative of j**7/168 + j**6/60 + j**5/80 + 34*j. Factor p(l).
l**3*(l + 1)**2/4
Find b, given that 14 - 14 + 16 + 4*b**3 - 12*b**2 = 0.
-1, 2
Suppose 4*v = 3*q - 19 + 2, 0 = 5*v + 10. Suppose 3/4*y**q + 3/4*y + 0 + 3/2*y**2 = 0. Calculate y.
-1, 0
Let d(m) be the second derivative of -3*m**5/20 + 3*m**4 - 18*m**3 - 19*m. What is b in d(b) = 0?
0, 6
Solve 2/5*a**4 + 1/5*a**3 - 16/5*a - 17/5*a**2 + 12/5 = 0 for a.
-2, 1/2, 3
Let -3*h + 3 + 3/4*h**3 - 3/4*h**2 = 0. What is h?
-2, 1, 2
Let n(w) be the first derivative of 12*w**5/5 + 17*w**4/4 - w**3/3 - 5*w**2/2 + w - 27. Suppose n(g) = 0. What is g?
-1, 1/4, 1/3
Let d(j) be the first derivative of j**6/30 - 4*j**5/25 + j**4/20 + 2*j**3/5 - 22. Determine m, given that d(m) = 0.
-1, 0, 2, 3
Let k(c) = 18*c**3 - 22*c**2 - 100*c + 20. Let l(x) = 36*x**3 - 44*x**2 - 199*x + 39. Let u(h) = 9*k(h) - 4*l(h). Factor u(i).
2*(i - 3)*(i + 2)*(9*i - 2)
Let n(b) = 