of t**4/8 - t**3 + 9*t**2/4 - 2*t - 3. Solve j(v) = 0.
1, 4
Let h be (2 - (3 - -1)) + 9. Determine k so that 5*k**4 + 9*k**5 + 3*k**4 - 3*k**3 + 9*k**3 + h*k**4 = 0.
-1, -2/3, 0
Let u(c) = 5*c - 12. Let o(z) = z. Let b(i) = 6*o(i) - u(i). Let t be b(-10). Factor 1/5*v**t + 1/5 + 2/5*v.
(v + 1)**2/5
Let u(a) be the second derivative of -a**7/2520 + a**4/4 - a. Let q(p) be the third derivative of u(p). Determine c so that q(c) = 0.
0
What is b in -4*b**3 - 8*b**2 - 34*b**4 - 4*b**3 - 24*b**3 - 10*b**5 = 0?
-2, -1, -2/5, 0
Let c(x) = 8*x**2 + 7*x + 7. Let l(n) = n**2 + n + 1. Let v(d) = -2*c(d) + 14*l(d). Factor v(g).
-2*g**2
Let n(h) be the third derivative of 0*h**3 + 0 + 1/112*h**8 + 1/70*h**7 - 1/40*h**6 + 0*h + 0*h**4 - 1/20*h**5 + 8*h**2. Factor n(y).
3*y**2*(y - 1)*(y + 1)**2
Suppose 2/7 + 2/7*p**2 - 4/7*p = 0. What is p?
1
Factor -110 + 110 - 2*w**2.
-2*w**2
Let o(y) be the second derivative of 6*y**7/7 - 26*y**6/5 + 67*y**5/5 - 19*y**4 + 16*y**3 - 8*y**2 - y. Suppose o(h) = 0. Calculate h.
2/3, 1
Suppose -4*p + 7*p + 12 = 0. Let u be 2 - 1/(-2)*p. Factor -2/7*l**4 + u*l - 4/7*l**3 + 0 - 2/7*l**2.
-2*l**2*(l + 1)**2/7
Let c = 3 - 2. Let r be (c/(-3))/(2/(-18)). Find a such that -3*a**r - 2*a**2 - 1 + 2*a**3 + a + 3*a**2 = 0.
-1, 1
Let g(p) be the first derivative of -1/18*p**4 - 8/9*p**2 - 3 + 10/27*p**3 + 8/9*p. Suppose g(f) = 0. Calculate f.
1, 2
Suppose -4*w - v = 4*v - 38, 5*v - 50 = -5*w. Suppose 2*l + 5*g + w = 0, 2*l - 20 = 5*g + 8. Solve 6*r - 3*r**4 + 12*r**3 + 4 - l - 15*r**2 = 0 for r.
0, 1, 2
Suppose 3*j - 2*r - 8 = 0, 5*j + 0*j = -5*r - 20. Factor 0*o + 1/3*o**5 - 4/3*o**3 + 1/3*o**4 - 4/3*o**2 + j.
o**2*(o - 2)*(o + 1)*(o + 2)/3
Let g be (-352)/(-330) + 2/(-5). Solve -g*d**2 - 4/3*d + 2 = 0.
-3, 1
Let 0 - 48*b + 3 + 0 + 144*b**2 + 1 = 0. Calculate b.
1/6
Let d(p) be the second derivative of p**6/300 - p**4/20 + 2*p**3/15 - p**2 - 2*p. Let i(m) be the first derivative of d(m). Factor i(y).
2*(y - 1)**2*(y + 2)/5
Let h(s) be the second derivative of s**6/225 - s**5/75 - s**4/30 + 4*s**3/45 + 4*s**2/15 + 8*s. Factor h(i).
2*(i - 2)**2*(i + 1)**2/15
Let s(u) be the first derivative of -3*u**2 + 2 + 4*u + 2/3*u**3. Determine x so that s(x) = 0.
1, 2
Suppose 18*z - 21*z + 9 = 0. Let -12*g**2 + 9/2*g + 0 - 9/2*g**z = 0. Calculate g.
-3, 0, 1/3
Let y be (-24)/(-10) + (-4)/10. Factor 0*l + 2*l**2 + y*l - 2*l + 2*l.
2*l*(l + 1)
Let x(h) be the third derivative of -4*h**2 - 2/27*h**3 + 1/540*h**6 + 0 - 1/108*h**4 + 0*h + 1/135*h**5. Solve x(r) = 0 for r.
-2, -1, 1
Let x(n) be the first derivative of 1/18*n**4 + 4/9*n - 1/3*n**2 + 0*n**3 - 8. Factor x(p).
2*(p - 1)**2*(p + 2)/9
Let y(j) = j - 14. Let a be y(14). Determine c so that 2/7*c**2 - 2/7*c + a = 0.
0, 1
Let t(g) be the second derivative of 2*g**6/15 + 2*g**5/5 - 4*g**4/3 - 16*g**3/3 + 28*g. Factor t(y).
4*y*(y - 2)*(y + 2)**2
Suppose 0*u + g + 1 = -u, -3*g = -4*u - 4. Let c = 4 + u. Factor 2 + 1/4*a**3 + 3/2*a**2 + c*a.
(a + 2)**3/4
Let h be (6/(-18))/((-1)/2). Let -h + 2/3*w**2 + 2/3*w - 2/3*w**3 = 0. What is w?
-1, 1
Let c(y) be the second derivative of y**5/4 - 5*y**4/4 + 5*y**3/2 - 5*y**2/2 - 20*y. Let c(w) = 0. What is w?
1
Suppose -43*i = -45*i. Let t(z) be the third derivative of 0 + i*z**3 + 0*z**4 + 3*z**2 - 1/30*z**5 + 0*z. Factor t(s).
-2*s**2
Let r(q) be the third derivative of -q**9/120960 - q**8/13440 - q**7/5040 + q**5/30 + 3*q**2. Let g(h) be the third derivative of r(h). Factor g(w).
-w*(w + 1)*(w + 2)/2
Let i(z) be the third derivative of z**6/40 + 3*z**5/10 + 9*z**4/8 + 2*z**2. Let i(q) = 0. Calculate q.
-3, 0
Suppose 0 + 4/5*c - 2/5*c**2 = 0. What is c?
0, 2
Let s(r) be the second derivative of r**6/80 + 3*r**5/80 - r**3/8 - 3*r**2/16 + 27*r. Find i such that s(i) = 0.
-1, 1
Find u such that 0 - 2/5*u**2 + 0*u = 0.
0
Let l be (9/(-6))/((-2)/4). Let n(x) be the first derivative of -2/9*x**3 + 1/6*x**4 - l + 2/3*x - 1/3*x**2. Determine y, given that n(y) = 0.
-1, 1
Let a = 20 - 13. Suppose -a = 5*i + 3. Let b(y) = -2*y**2 - 2*y - 2. Let n(f) = 10*f**2 + 10*f + 11. Let j(l) = i*n(l) - 11*b(l). Factor j(k).
2*k*(k + 1)
Let v(o) = 4*o**2 + o + 2. Suppose 4*p - 15 = 21. Let g(n) = 16*n**2 + 4*n + 9. Let w(y) = p*v(y) - 2*g(y). What is m in w(m) = 0?
-1/4, 0
Let f be 2/(-20) + (-2)/(-4). Let p(m) be the first derivative of 8/15*m**3 - 2 + f*m + m**2. Factor p(k).
2*(k + 1)*(4*k + 1)/5
Suppose -20 = -7*d + 5*d. Let c be 6/10 - (-24)/d. Factor 0 - 1/3*u**4 - 1/3*u + 1/3*u**c + 1/3*u**2.
-u*(u - 1)**2*(u + 1)/3
What is w in -2*w**2 - 4*w**2 + 2 - 4*w**3 + 0 = 0?
-1, 1/2
Let n(s) = s**2 - 7*s + 8. Let t be n(6). Determine g, given that 2*g**2 + 0*g**t + g + g - 4*g = 0.
0, 1
Let p(m) be the first derivative of m**6/360 + m**5/60 + m**4/24 - 2*m**3/3 + 3. Let o(l) be the third derivative of p(l). Factor o(u).
(u + 1)**2
Let z = 122/465 + 11/155. Factor -z*p**3 - 1/3*p**2 + 1/3 + 1/3*p.
-(p - 1)*(p + 1)**2/3
Let s(w) be the first derivative of -w**7/21 + w**6/15 + w**5/10 - w**4/6 + w - 3. Let z(o) be the first derivative of s(o). Factor z(p).
-2*p**2*(p - 1)**2*(p + 1)
Let d(y) = 5*y**5 - 11*y**4 - 4*y**3 + 10*y**2 - y - 11. Let f(v) = 30*v**5 - 65*v**4 - 25*v**3 + 60*v**2 - 5*v - 65. Let o(w) = 35*d(w) - 6*f(w). Factor o(z).
-5*(z - 1)**3*(z + 1)**2
Let p be -2 - (-3 + -6) - 3. Let r(i) be the second derivative of -3*i + 1/54*i**p + 0 + 0*i**3 + 0*i**2. Factor r(v).
2*v**2/9
Let v(t) be the first derivative of t**4/12 - t**2/2 + 2*t/3 - 13. Factor v(c).
(c - 1)**2*(c + 2)/3
Let z(a) be the second derivative of a**6/120 - a**5/80 - a**4/48 + a**3/24 + 7*a. Determine u so that z(u) = 0.
-1, 0, 1
Let u(h) be the first derivative of -h**4/16 + h**3/6 - h**2/8 + 1. Factor u(t).
-t*(t - 1)**2/4
Determine v, given that 0*v**3 + 4*v**3 - 18*v**2 - 2*v**3 + 36*v + v**3 - 24 = 0.
2
Solve -1/6*g - 1/6 + 1/6*g**3 + 1/6*g**2 = 0 for g.
-1, 1
Let n(s) be the first derivative of -1/6*s**3 + 2 - 1/2*s + 1/2*s**2. Factor n(u).
-(u - 1)**2/2
Let p = 18 - 14. Suppose p*f - 18 = -2*g, 10 = 2*g - 0. Factor -8/7 - 6*z**f + 14*z**3 - 48/7*z.
2*(z - 1)*(7*z + 2)**2/7
Let p be -6*(-2)/12*4. Factor -j**3 + 5*j**3 + 0*j**4 - j**p - 2*j**2 - 2*j**2.
-j**2*(j - 2)**2
Factor 0 - 1/7*x**2 + 1/7*x**4 + 0*x + 0*x**3.
x**2*(x - 1)*(x + 1)/7
Let v(a) = 4*a**3. Let h(w) = 12*w**3 - w**2 - w + 1. Let p(c) = -4*h(c) + 11*v(c). Factor p(j).
-4*(j - 1)**2*(j + 1)
Let a(g) = -g**2 - 5*g - 1. Suppose -14 - 2 = -4*i, 3*i + 8 = -5*j. Let m be a(j). Determine z so that 1/3*z**m - 1/3*z + 1/3 - 1/3*z**2 = 0.
-1, 1
Let d(i) = 40*i**5 + 44*i**4 - 24*i**3 - 64*i**2 - 16*i + 20. Let t(h) = h**5 - h**3 - h**2 + 1. Let o(j) = d(j) - 16*t(j). Find w, given that o(w) = 0.
-1, 1/6, 1
Let p = -2/321 - -668/4173. Let w = 17/26 - p. What is f in 1/4*f**4 - w*f**3 + 0 + 0*f + 1/4*f**2 = 0?
0, 1
Solve -4/9*v**2 - 2/9*v**3 + 4/9 + 2/9*v = 0.
-2, -1, 1
Suppose 2*u - 6*u = 0. Suppose -2*i + 0*i = u. Solve i*t + 4/9*t**2 + 0 - 2/3*t**3 + 2/9*t**4 = 0 for t.
0, 1, 2
Let s = -35 - -35. Let z(u) be the first derivative of -4/9*u**3 - 2 + 1/3*u**2 + s*u + 1/6*u**4. Factor z(q).
2*q*(q - 1)**2/3
Let o(s) be the second derivative of -1/30*s**4 + 1/105*s**7 + 0 + 0*s**3 - 4*s + 3/50*s**5 - 1/25*s**6 + 0*s**2. Factor o(k).
2*k**2*(k - 1)**3/5
Suppose 4*c - b - 11 = -c, 4*c + 5*b - 32 = 0. Suppose -x**c - 13 + 13 - 3*x**2 - 2*x = 0. What is x?
-2, -1, 0
Factor w**5 - 37*w**4 + 38*w**4 - 5*w**2 - 2*w + 0*w**3 - 3*w**3.
w*(w - 2)*(w + 1)**3
Let q(h) = 5*h**2 - 7*h + 6. Let y(n) = 4*n**2 - 6*n + 5. Let z(o) = 5*q(o) - 6*y(o). Solve z(w) = 0.
-1, 0
Let v = -2 - -7. Suppose -v*b + 0*b + 10 = 0. Solve -3*r + r - r**2 + b*r = 0.
0
Suppose -5*z + 62 = 187. Let g = z - -79/3. Factor -2/3*d**2 + g + 2/3*d.
-2*(d - 2)*(d + 1)/3
Suppose 40*y - 2 = 39*y. Let r(u) be the first derivative of 0*u**3 - 2 - 1/18*u**4 + 4/9*u + 1/3*u**y. Suppose r(a) = 0. Calculate a.
-1, 2
Let w(r) = -r**2 - 6*r + 7. Let z be w(-7). Let v = -628/7 - -90. Solve -2/7*q**5 + v*q**3 + 0*q**4 + 0 + 0*q**2 + z*q = 0 for q.
-1, 0, 1
Let n(m) be the first derivative of m**4/6 - 32*m**3/9 - 14. Factor n(y).
2*y**2*(y - 16)/3
Let v(g) be the third derivative of 2*g**7/21 + 5*g**6/24 + g**5/12 + 7*g**2. Suppose v(z) = 0. Calculate z.
-1, -1/4, 0
Let v(d) be the second derivative o