that l(g) = 0.
0, 3/4
Let h be (7/(7/12))/(-1). Let u be 6/h + (-7)/(-2). Suppose -l**2 + l**u + 1 - l + 0*l**3 + 0*l**2 = 0. Calculate l.
-1, 1
Suppose 5*y = 5*s - 25, -34 = -5*y + 2*s - 44. Solve 0*r**3 + 2*r**4 + 12/7*r**5 + 0 - 2/7*r**2 + y*r = 0 for r.
-1, -1/2, 0, 1/3
Let l(a) = -20*a - 18. Let k be l(-1). Factor -2*g**2 + k*g**4 + 3/2*g**3 + 1/2*g**5 - 2*g + 0.
g*(g - 1)*(g + 1)*(g + 2)**2/2
Let b(k) be the second derivative of 25*k**4/18 - 40*k**3/9 + 16*k**2/3 - 8*k. Suppose b(t) = 0. Calculate t.
4/5
Suppose 0 = v + 3*v - 16. Suppose 2*u = v*u. Factor u*g**2 + 3*g**2 - 2*g - g**2.
2*g*(g - 1)
Let g be ((-21)/(-35))/(3/328). Let z = g + -304/5. Suppose -z*i - 12/5*i**2 - 16/5 - 2/5*i**3 = 0. Calculate i.
-2
Let h(k) be the second derivative of -3*k**6/5 - 8*k**5/5 - 5*k**4/6 + 2*k**3/3 - 12*k. Find r such that h(r) = 0.
-1, 0, 2/9
Let y(v) be the first derivative of v**7/1260 - v**6/540 + v**3 + 5. Let k(u) be the third derivative of y(u). Factor k(c).
2*c**2*(c - 1)/3
Let q(i) be the third derivative of i**8/336 + i**7/210 + 20*i**2. Factor q(y).
y**4*(y + 1)
Suppose -5*w + 12 = -2*w. Let d(o) be the first derivative of 0*o**w + 0*o + 2/5*o**5 - 2/3*o**3 + 0*o**2 + 2. Factor d(g).
2*g**2*(g - 1)*(g + 1)
Suppose 3*m + 3 = -4*t, -t + 7 = 3*m + 19. Suppose t*r + 4*b - 34 = 0, -2*r + 5 = -b - 3. Factor -n + 0*n + r*n**3 - 5*n**2 - 4*n**3 + 3*n.
n*(n - 2)*(2*n - 1)
Let o be 0 - (15/(-10))/((-9)/(-4)). Factor 0*j**2 + 2/3*j**3 - o*j**4 + 0 + 0*j.
-2*j**3*(j - 1)/3
Let h(o) be the third derivative of o**8/2016 + o**7/420 + o**6/240 + o**5/360 - 12*o**2 + 3. Factor h(j).
j**2*(j + 1)**3/6
Let l be 4/(-18) + (-20)/(-9). What is d in 10*d**l - 7*d**2 + 0 - 3 - 3*d**3 + 3*d = 0?
-1, 1
Let w(b) = -2*b**2 + 5*b + 4. Let z be (-3)/(-6) - (-51)/(-6). Let f be 1/2 + 28/z. Let i(t) = -3*t**2 + 9*t + 7. Let j(d) = f*i(d) + 5*w(d). Factor j(g).
-(g + 1)**2
Let g = 5681/62 - 183/2. Let w = 43/93 - g. Let 0*z**2 + 0 - w*z**3 + 0*z = 0. Calculate z.
0
Factor 0*a + 0 + 3/5*a**3 - a**4 + 2/5*a**2.
-a**2*(a - 1)*(5*a + 2)/5
Let m(z) = z**2 - z + 1. Let x(q) = q**4 + 3*q**3 + 6*q**2 - 4*q - 2*q**2 - 4*q**3 + 4 + 2*q**3. Let i(l) = 4*m(l) - x(l). Solve i(g) = 0 for g.
-1, 0
Let s = 2 - 5. Let r be 3/2*(-4)/s. Factor -5*d + 3*d - 2*d - 2 - 2*d**r.
-2*(d + 1)**2
Let x(l) be the first derivative of l**6/33 - 3*l**4/22 - 4*l**3/33 + 35. Factor x(z).
2*z**2*(z - 2)*(z + 1)**2/11
Let u(d) be the second derivative of d**6/300 + 3*d**5/200 + d**4/40 + d**3/3 - 4*d. Let o(z) be the second derivative of u(z). Suppose o(x) = 0. What is x?
-1, -1/2
Suppose q + 5*q**3 + 16*q**2 - 14*q - q**3 + 25*q = 0. What is q?
-3, -1, 0
Let y be (-22)/(-28) + (-10)/35. Factor c + 0 + y*c**2.
c*(c + 2)/2
Suppose 54*z = 14*z + 160. Factor -3/4*f**z - 3/4*f**3 + 3/4*f**2 + 0 + 3/4*f.
-3*f*(f - 1)*(f + 1)**2/4
Let n be (3/(-6) - -2)*2. Factor -2*o**2 - 1 - 4*o**2 + o**3 + n*o + 3*o**2.
(o - 1)**3
Suppose -10*o - 9 = -13*o. Let q(r) be the first derivative of 0*r**5 + 0*r**o + 0*r**2 + 1 - 1/9*r**6 + 0*r + 1/6*r**4. Factor q(m).
-2*m**3*(m - 1)*(m + 1)/3
Let t(a) be the second derivative of -1/54*a**4 - 2*a + 1/30*a**5 + 0*a**2 + 1/189*a**7 + 0 - 1/45*a**6 + 0*a**3. Find k, given that t(k) = 0.
0, 1
Let l(r) be the second derivative of r**8/1344 - r**7/280 + r**6/160 - r**5/240 - r**3/6 + r. Let p(x) be the second derivative of l(x). Factor p(k).
k*(k - 1)**2*(5*k - 2)/4
Let d(k) be the first derivative of k**5/5 - 7*k**4/12 + 5*k**3/9 - k**2/6 - 25. Suppose d(v) = 0. Calculate v.
0, 1/3, 1
Let d(a) be the third derivative of -a**8/30240 + a**7/1890 - a**6/270 - a**5/30 - a**2. Let h(r) be the third derivative of d(r). Let h(z) = 0. What is z?
2
Let u(o) be the second derivative of o**6/60 - o**5/8 + o**4/4 + o**3/3 - 2*o**2 + 7*o. Factor u(m).
(m - 2)**3*(m + 1)/2
Suppose 2 = -22*o + 2. Factor 1/4*a**5 + 1/2*a**2 + 0 + o*a**3 - 1/2*a**4 - 1/4*a.
a*(a - 1)**3*(a + 1)/4
Let n = -226 + 226. Factor n*h + 2/3*h**5 + 0*h**2 + 0 - 1/3*h**4 - 1/3*h**3.
h**3*(h - 1)*(2*h + 1)/3
Let k(x) be the third derivative of -x**7/420 + x**6/60 - x**5/40 - x**4/12 + x**3/3 - 6*x**2. Find z such that k(z) = 0.
-1, 1, 2
Let u(d) be the second derivative of -d**7/231 + 3*d**5/110 - d**4/33 + d. Factor u(h).
-2*h**2*(h - 1)**2*(h + 2)/11
Suppose -3*g - x + 51 = 17, -5*g + 60 = 5*x. Suppose 29*r - 4*r**3 + 7*r**2 - 9*r - 12 - g*r**2 = 0. What is r?
-3, 1
Let n be (3/6)/((-1)/(-6)). Factor 3*t**3 - t**3 + 0*t**n + 2*t**4.
2*t**3*(t + 1)
Let f(r) be the third derivative of -5*r**2 - 1/210*r**7 - 1/336*r**8 + 0 + 0*r**6 + 0*r + 0*r**4 + 0*r**3 + 0*r**5. Factor f(c).
-c**4*(c + 1)
Let c = -10 - -12. Factor -9*q**3 + 13*q**4 - 3*q - 8*q**4 - 2*q**4 + 9*q**c.
3*q*(q - 1)**3
Let b(t) be the second derivative of -t**5/50 + 2*t**4/15 - 17*t. Solve b(g) = 0.
0, 4
Let 0 + 20/17*s - 2/17*s**2 = 0. What is s?
0, 10
Suppose -2*o - 3*o + 20 = 0. Suppose 4*t = 3*h - 16, h - t = o*h + 4. Factor 2/5*v**2 + h - 2/5*v.
2*v*(v - 1)/5
Solve 0*v - 4/5*v**2 + 0 - 2/5*v**4 + 6/5*v**3 = 0.
0, 1, 2
Suppose 72/5*w + 4/5*w**2 + 324/5 = 0. Calculate w.
-9
Suppose 0 = -2*c + 4*l, 9*l = c + 13*l. Factor 0 + c*v + 1/2*v**3 - v**2.
v**2*(v - 2)/2
Let u(n) = 3*n**2. Let x be u(-1). Let j(v) = -v - 3. Let m be j(-5). Let -q**3 + q**3 + 3*q - q**x - m = 0. What is q?
-2, 1
Let u(w) be the first derivative of w**6/15 + w**5/5 - 2*w**3/3 - w**2 + 4*w - 2. Let n(s) be the first derivative of u(s). Let n(i) = 0. What is i?
-1, 1
Let g(i) = 5*i**4 + 2*i**2 - 3. Let p(d) = 6*d**4 + 3*d**2 - 4. Let n(f) = 5*g(f) - 4*p(f). Solve n(s) = 0.
-1, 1
Let g(m) = -5*m**4 - 5*m**3 + 21*m**2 - m - 16. Let t(b) = -5*b**4 - 5*b**3 + 20*b**2 - 15. Let y(x) = -5*g(x) + 6*t(x). Let y(j) = 0. Calculate j.
-2, -1, 1
Suppose 0 = 2*w - 4*t - 44, -2*t - t = -3*w + 60. Let s = w - 18. Let s*v**2 + 0 + 0*v + 1/5*v**3 = 0. What is v?
0
Let h(g) be the first derivative of -g**3/7 - 6*g**2/7 - 9*g/7 + 7. Factor h(b).
-3*(b + 1)*(b + 3)/7
Let w(h) be the first derivative of -h**5/35 - 3*h**4/14 - 13*h**3/21 - 6*h**2/7 - 4*h/7 + 6. Factor w(g).
-(g + 1)**2*(g + 2)**2/7
Suppose 3*h + h = -f - 36, 3*h - 5*f = -4. Let l be 0/(-2) - h/4. Solve 0*x**2 - 2*x**l + 16*x**5 + 2*x**4 - 7*x**3 - 9*x**5 = 0 for x.
-1, -2/7, 0, 1
Suppose -1/2*d**5 - 9/2 - 23*d**2 - 33/2*d - 15*d**3 - 9/2*d**4 = 0. What is d?
-3, -1
Let s(d) be the first derivative of -d**4/40 + d**3/15 + d**2/5 - 4*d/5 + 28. Factor s(m).
-(m - 2)**2*(m + 2)/10
Let v(h) = -h**4 - 5*h**3 - 5*h**2 - h. Let i(p) = 3*p**4 + 14*p**3 + 14*p**2 + 3*p. Let x(f) = 6*i(f) + 17*v(f). Factor x(s).
s*(s - 1)**2*(s + 1)
Factor 1/5*l**2 - 1/5*l**4 - 1/5*l + 0 + 1/5*l**3.
-l*(l - 1)**2*(l + 1)/5
Let w(x) = 1 + 3*x**2 + x**2 - 5*x**2. Let o be w(-1). Determine z, given that 0 + o*z - 8/9*z**2 + 8/3*z**3 - 2*z**4 = 0.
0, 2/3
Suppose 4*b - 6 - 6 = 0. Let i = 17 + -12. Solve 0 + 0*t + 1/3*t**2 - 1/3*t**4 - 1/3*t**b + 1/3*t**i = 0 for t.
-1, 0, 1
Let i(f) be the second derivative of 1/40*f**5 + 0*f**3 + 0*f**2 + 1/48*f**4 + 1/120*f**6 + 0 - f. Factor i(z).
z**2*(z + 1)**2/4
Let v(s) be the first derivative of -s**7/210 - s**6/25 - 3*s**5/25 - 2*s**4/15 - 5*s + 3. Let x(t) be the first derivative of v(t). Factor x(r).
-r**2*(r + 2)**3/5
Let s(y) be the second derivative of -y**7/840 - y**6/288 - y**5/480 - y**3/6 - 2*y. Let o(w) be the second derivative of s(w). What is q in o(q) = 0?
-1, -1/4, 0
Let h = 123 + -121. Suppose 0 + 1/3*m + 2/3*m**h + 1/3*m**3 = 0. What is m?
-1, 0
Let a(l) = 11*l**3 - l + 1. Let z be a(1). Suppose 5*y - 31 = -z. Factor 0*d - 2/9*d**3 + 0 + 2/9*d**5 + 2/9*d**2 - 2/9*d**y.
2*d**2*(d - 1)**2*(d + 1)/9
Let f(c) = -c**3 - 6*c**2 - 9*c - 11. Let y be f(-5). Let g be 3/7*6/y. Factor 12/7*n + 18/7 + g*n**2.
2*(n + 3)**2/7
Let o(b) be the third derivative of 0 - b**2 + 0*b + 0*b**3 - 1/24*b**4 + 1/30*b**5 - 1/120*b**6. Let o(s) = 0. Calculate s.
0, 1
Let l(y) be the third derivative of 1/36*y**4 + 2/9*y**3 - 1/180*y**6 + 0 - 1/45*y**5 + 0*y - 2*y**2. What is x in l(x) = 0?
-2, -1, 1
Let s(n) be the third derivative of -n**6/80 + n**4/144 + 9*n**2. What is x in s(x) = 0?
-1/3, 0, 1/3
Let j = 463/2 + -231. What is f in 0*f - j + 1/2*f**2 = 0?
-1, 1
Let v(m) = -m**2 - m - 2. Let b be v(2). Let r = b - -17/2. Determine y, given that