pose i(j) = 0. Calculate j.
-1, 1/4
Let r be ((-18)/81)/((-28)/6). Let l(m) be the second derivative of 1/10*m**5 + r*m**7 - 2/3*m**3 + 0 + 0*m**2 + 1/5*m**6 - 3*m - 1/2*m**4. Factor l(a).
2*a*(a - 1)*(a + 1)**2*(a + 2)
Let v be (3*6/81)/(13/78). What is z in -4 - v*z**2 + 16/3*z = 0?
1, 3
Let n(p) be the third derivative of 0*p - p**2 + 1/240*p**5 + 1/96*p**4 + 0 - 1/12*p**3. Factor n(r).
(r - 1)*(r + 2)/4
Factor -3/2*s + 3*s**3 - 5/4*s**2 - 1/4.
(s - 1)*(3*s + 1)*(4*s + 1)/4
Find z such that 1/6*z**3 + 0 + 1/3*z + 1/2*z**2 = 0.
-2, -1, 0
Let p(s) be the first derivative of s**6/45 - s**5/30 - s**4/18 + s**3/9 - 3*s + 2. Let l(m) be the first derivative of p(m). Let l(v) = 0. Calculate v.
-1, 0, 1
Let g(n) be the first derivative of -1 + 1/6*n**2 + 0*n + 0*n**3 + 1/18*n**6 + 0*n**5 - 1/6*n**4. Factor g(l).
l*(l - 1)**2*(l + 1)**2/3
Suppose -28 = -2*h - 4. Let r = 14 + h. Let 19*u + 5*u + 30*u**2 - 8 - 42*u**4 - r*u**3 - 18*u**3 = 0. Calculate u.
-1, 2/7, 2/3
Let k(g) be the second derivative of -g**10/90720 + g**8/20160 - g**4/6 - g. Let a(w) be the third derivative of k(w). Let a(q) = 0. What is q?
-1, 0, 1
Suppose 3*y = 3*d + 9, 2*d - y - 9 = 4*d. Let u(r) = -r**2 - 3*r + 4. Let b be u(d). Factor -1/3*c**3 + 0 + b*c - 1/3*c**2.
-c**2*(c + 1)/3
Let h(l) be the third derivative of -1/120*l**6 + 0*l**4 + 0*l + 0 + 0*l**7 + 1/336*l**8 + 8*l**2 + 0*l**5 + 0*l**3. Determine u so that h(u) = 0.
-1, 0, 1
Let a(b) = -b**2 - b + 1. Let p(d) = 6*d**3 + 6*d**2 - 20*d - 12. Let u(z) = -4*a(z) - p(z). Factor u(l).
-2*(l - 2)*(l + 2)*(3*l + 1)
Factor 0*z + 3/4*z**3 + 0 + 0*z**2 + 3/4*z**4.
3*z**3*(z + 1)/4
Solve -6/11 - 8/11*y**2 - 14/11*y = 0.
-1, -3/4
Find j, given that -4*j**2 + 2*j**2 + 17 - 6 - 2*j - 7 = 0.
-2, 1
Let s(p) be the second derivative of 2*p**6/3 + 3*p**5/5 - 7*p**4/3 - 2*p**3 + 4*p**2 + 9*p. What is i in s(i) = 0?
-1, 2/5, 1
Let c(u) be the second derivative of -7*u**8/480 + u**7/18 + 13*u**6/90 + 2*u**5/15 - u**4/3 - 7*u. Let n(s) be the third derivative of c(s). Factor n(m).
-2*(m - 2)*(7*m + 2)**2
Let j = -17 + 12. Let x be (-8)/j - (-8)/20. Factor -c**4 - 1 + c**2 - c**2 + x*c**2.
-(c - 1)**2*(c + 1)**2
Let b(a) = 7*a + 10. Let y be b(-6). Let j be (12/y - 0)*-4. Solve 0*q**2 + 0*q + 5/2*q**4 - j*q**5 + 0 - q**3 = 0.
0, 2/3, 1
Let k(z) be the first derivative of 1/4*z**2 + 1 + 1/4*z + 1/12*z**3. Factor k(a).
(a + 1)**2/4
Let h(o) = o**2 - 13*o - 4. Let x(g) = 12*g + 4. Let j(l) = 4*h(l) + 5*x(l). Determine v so that j(v) = 0.
-1
Suppose -2*l = -5*m + 21 - 4, 3*m = -3*l + 6. Let v(q) be the third derivative of 1/150*q**5 + 1/20*q**4 + 2/15*q**m + 0 + q**2 + 0*q. Factor v(c).
2*(c + 1)*(c + 2)/5
Let q(u) be the first derivative of u**3/9 - u**2/6 - 11. Factor q(i).
i*(i - 1)/3
Let v(h) = -3*h**3 - 2*h**2 - 2*h - 1. Let s be v(-1). Let z = -1/658 + 1321/3290. What is g in 0 - 2/5*g + z*g**s = 0?
0, 1
Let o(c) be the first derivative of 2*c**3/15 - 2*c/5 + 4. Factor o(l).
2*(l - 1)*(l + 1)/5
Let v(u) be the second derivative of u**4/48 + u**3/24 - u**2/4 - 5*u. Factor v(z).
(z - 1)*(z + 2)/4
Suppose 0 = 5*l + 4*w + 1 - 3, -w - 2 = 0. Factor -8*x**3 - x**5 - 16*x**2 - 3*x**3 + 0 - 6*x**4 - 3*x**3 - l - 9*x.
-(x + 1)**4*(x + 2)
Let n(g) = g**5 + 9*g**4 - 19*g**3 - 53*g**2 - 18*g + 8. Let v(b) = -3*b**4 + 6*b**3 + 18*b**2 + 6*b - 3. Let t(x) = 3*n(x) + 8*v(x). Factor t(i).
3*i*(i - 2)*(i + 1)**3
Suppose 2*i + 5*h = 5, 0*h - 4*h - 20 = 4*i. Let y = i + 10. Determine k so that 1/3*k**2 + y + 1/3*k = 0.
-1, 0
Let u(t) = 21*t**2 - 30*t + 6. Let g(v) = -16 - 63*v**2 - 12 + 10 + 89*v. Let r(c) = -3*g(c) - 8*u(c). Determine x so that r(x) = 0.
2/7, 1
Let h(u) be the first derivative of -u**6/540 + u**5/270 + 4*u**3/3 - 1. Let i(r) be the third derivative of h(r). Factor i(s).
-2*s*(3*s - 2)/9
Let x(c) be the third derivative of 0 - 7/390*c**5 + 0*c**3 + 0*c - 1/78*c**4 + c**2. Factor x(u).
-2*u*(7*u + 2)/13
Let w be (19/(-95))/(6/(-10)). Solve 0*q**3 - 1/3*q**5 + 2/3*q**2 - 2/3*q**4 + w*q + 0 = 0 for q.
-1, 0, 1
Let b(v) be the second derivative of -v**6/10 + 9*v**5/20 - 3*v**4/4 + v**3/2 - 3*v. Factor b(k).
-3*k*(k - 1)**3
Let q(c) be the first derivative of -35*c**4/4 + 10*c**3/3 + 35*c**2/2 - 10*c - 35. Factor q(p).
-5*(p - 1)*(p + 1)*(7*p - 2)
Suppose 0 = 16*r - 7*r - 27. Suppose 2/7*s - 2/7*s**2 + 2/7 - 2/7*s**r = 0. What is s?
-1, 1
Factor 0*w**2 + 0*w - 1/2*w**3 + 0.
-w**3/2
Let s(p) be the third derivative of p**6/30 + p**5/15 - p**4/3 - 3*p**2. Factor s(n).
4*n*(n - 1)*(n + 2)
Let a(s) = 9*s**3 - 2*s**2 - 3*s + 2. Let n be a(2). Let v be 6/(-20)*(-80)/n. Factor 9/5*t**2 + v - t**3 - 7/5*t + 1/5*t**4.
(t - 2)*(t - 1)**3/5
Let s(p) be the third derivative of p**5/60 + p**4/12 + p**3/6 - 9*p**2. Factor s(j).
(j + 1)**2
Let d(h) = 10*h**4 - 25*h**3 - 5*h**2 + 20*h - 10. Let f(a) = 5*a**4 - 13*a**3 - 3*a**2 + 10*a - 5. Let o(w) = -3*d(w) + 5*f(w). Factor o(s).
-5*(s - 1)**3*(s + 1)
Let a = -37/198 - -9/22. Let u(m) be the second derivative of -7/15*m**5 + m + 0 - a*m**3 - 11/18*m**4 + 0*m**2. Factor u(h).
-2*h*(2*h + 1)*(7*h + 2)/3
Let a(p) be the second derivative of p**6/20 + 3*p**5/10 + 3*p**4/4 + p**3 + 3*p**2/4 + 8*p. Suppose a(w) = 0. Calculate w.
-1
Let l(a) be the second derivative of -a**4/6 + a**3/3 + 2*a**2 + 3*a - 10. What is w in l(w) = 0?
-1, 2
Factor -26*d**4 + 18*d**5 + 2*d**2 - 8*d**5 + 1 - 1 + 18*d**3 - 4*d.
2*d*(d - 1)**3*(5*d + 2)
Let g be -2 - -3 - (-2)/((-56)/20). Determine y, given that -2/7 - g*y**4 + 4/7*y**2 + 2/7*y - 4/7*y**3 + 2/7*y**5 = 0.
-1, 1
Let s(k) = -k**3 - 5*k**2 + 6*k + 2. Let m be s(-6). Factor -r**2 + 0 + r + 0 + 2*r**m.
r*(r + 1)
Let v be (-5)/3*((-4)/30 + 0). Determine y so that v + 2/9*y - 2/9*y**3 - 2/9*y**2 = 0.
-1, 1
Factor -3*l**3 + 13*l**2 + 5*l**3 - 12*l**3 - 2*l - 11*l**3.
-l*(3*l - 1)*(7*l - 2)
Let n(o) = -o**3 + 4*o**2 + 5*o + 4. Let c be n(5). Suppose 28 = -j + c*w + 8, 0 = 4*j - 4*w + 20. Find q such that -4/7*q + j + 2/7*q**2 = 0.
0, 2
Let p be (-3)/15 + (-124)/(-20). Let v(j) be the third derivative of 0*j - 2*j**2 + 1/210*j**p - 1/70*j**5 + 0 + 1/21*j**3 + 0*j**4. Factor v(d).
2*(d - 1)**2*(2*d + 1)/7
Let r(w) be the third derivative of 0*w + 0 + w**2 + 0*w**3 - 1/108*w**4 + 1/270*w**5. Find l, given that r(l) = 0.
0, 1
Let d(m) be the second derivative of 7*m**5/30 + m**4/6 - m**2 - 5*m. Let y(k) be the first derivative of d(k). Factor y(w).
2*w*(7*w + 2)
Let g(x) be the third derivative of 0*x + 0*x**4 + 1/60*x**6 + 1/15*x**5 + 0*x**3 + 0 - x**2. What is l in g(l) = 0?
-2, 0
Let n(p) be the second derivative of p**4/60 + p**3/6 + 2*p**2/5 + 15*p. Determine j, given that n(j) = 0.
-4, -1
Let u(y) be the first derivative of -y**3/18 - 3*y**2/4 - 33. Factor u(b).
-b*(b + 9)/6
Let r(z) be the second derivative of -z**7/84 + z**5/20 - z**3/12 - 6*z. What is m in r(m) = 0?
-1, 0, 1
Let n be -4*2/3 - -3. Factor 0 + 0*v**3 + 0*v + 1/3*v**2 - n*v**4.
-v**2*(v - 1)*(v + 1)/3
Let d(a) be the first derivative of -a**4/20 - 2*a**3/5 - 6*a**2/5 + 7*a - 6. Let i(v) be the first derivative of d(v). Suppose i(k) = 0. Calculate k.
-2
Let j(c) be the third derivative of 0 + 0*c**3 - 1/180*c**5 - 10*c**2 + 0*c + 0*c**4 + 1/360*c**6. Suppose j(q) = 0. What is q?
0, 1
Let r(q) be the second derivative of -q**7/35 + q**6/50 + 9*q**5/50 - 7*q**4/20 + q**3/5 + 6*q. Suppose r(z) = 0. What is z?
-2, 0, 1/2, 1
Let o(l) be the first derivative of 2/15*l**3 + 4/5*l**2 + 9 + 8/5*l. Factor o(y).
2*(y + 2)**2/5
Suppose -2*b = -3*b + 3. Let z(t) = -5*t**2 + 4*t - 5. Let h(l) = 4*l**2 - 4*l + 4. Let c(m) = b*h(m) + 2*z(m). Suppose c(k) = 0. Calculate k.
1
Factor 14/9*o**3 - 16/9 + 40/9*o - 2/9*o**4 - 4*o**2.
-2*(o - 2)**3*(o - 1)/9
Suppose 10 = -4*w + 8*w + 2*y, 0 = -5*w + 2*y + 17. Determine l, given that -5*l**2 + 9*l**w - 44*l**4 - 89*l**3 + 140*l**5 - 11*l**2 = 0.
-2/5, -2/7, 0, 1
Let c = 71/255 - 4/51. Let q be 1 - (48/(-15))/(-4). Suppose -q*w + 1/5*w**2 + c*w**3 - 1/5 = 0. What is w?
-1, 1
Suppose 12 = 10*k - 8. Factor 18/5*z**4 + 0 + 32/5*z**3 + k*z**2 - 4/5*z.
2*z*(z + 1)**2*(9*z - 2)/5
Let a(m) = m + 9. Let z(n) = -2*n**2 - 4*n. Let q be z(-3). Let c be a(q). Suppose 1/4*j - 1/4*j**c + 1/4*j**2 - 1/4 = 0. Calculate j.
-1, 1
Let g = -64 - -67. Let u(q) be the second derivative of 0*q**g + 1/40*q**5 + 0*q**