10 - 2*a**2. Solve o(l) = 0.
-1/2
Determine a, given that 2/5*a - 2/5*a**3 + 0*a**2 - 1/5*a**4 + 1/5 = 0.
-1, 1
Let d be (0 + (-1 - -1))/(-2). Suppose 2*x - x - 39 = d. Determine m, given that -m + 63*m**5 + 39*m**4 - x*m**2 - 3*m**5 - 54*m**3 - 5*m = 0.
-1, -2/5, -1/4, 0, 1
Let i(y) = 1 - y - 5 + 0. Let v be i(-7). Factor -2*o + 11*o**3 + v*o - 2*o**2 - 7*o**2 + 1 - 4*o**4.
-(o - 1)**3*(4*o + 1)
Suppose 7*o + 15*o = -16*o. Factor o*d + 1/3*d**4 - 2/3*d**3 + 1/3*d**2 + 0.
d**2*(d - 1)**2/3
Suppose 3*b + 0*b + 15 = 0. Let v(q) = -q**2 - 5*q + 2. Let t be v(b). Let -t + k**4 - 2*k - 3 + 4 + 2*k**3 = 0. What is k?
-1, 1
Let q be ((-39)/(-9) + -3)/(2/3). Let -1/2*g**3 + 0*g**4 + 0 + 1/4*g**5 + 0*g**q + 1/4*g = 0. What is g?
-1, 0, 1
Let j(v) be the second derivative of -4/105*v**7 + 2/25*v**5 + 0 + 0*v**3 - 1/30*v**4 + 0*v**2 + 1/75*v**6 + 4*v. Determine n so that j(n) = 0.
-1, 0, 1/4, 1
Factor 6*k**3 - 3*k**4 + 0*k**4 - 77*k**5 + 74*k**5.
-3*k**3*(k - 1)*(k + 2)
Let z(k) be the third derivative of -k**5/300 + k**4/10 + 13*k**3/30 - 3*k**2 - 13*k. Factor z(o).
-(o - 13)*(o + 1)/5
Let o(x) = -x**4 + 6*x**3 + 9*x**2 - x. Let w(b) = -6*b**3 - 8*b**2. Let q be -18 + 12 - 3/(-1). Let g(t) = q*w(t) - 2*o(t). Factor g(h).
2*h*(h + 1)**3
Suppose -4*a - 4*c + 65 = 49, 4*c = -3*a + 13. Suppose -m**a - 1/3*m**4 - 2/3*m**2 + 0*m + 0 = 0. Calculate m.
-2, -1, 0
Let q(v) be the third derivative of v**5/30 - v**3/3 + 5*v**2. Factor q(c).
2*(c - 1)*(c + 1)
Suppose 2*a**4 + 2*a**3 - a**3 - 4*a**4 + 3*a**4 - 2*a**2 = 0. What is a?
-2, 0, 1
Let h(f) be the third derivative of f**8/2184 - f**6/390 + f**4/156 + 5*f**2. Find k such that h(k) = 0.
-1, 0, 1
Let n = -330 + 11881/36. Let i(k) be the third derivative of 0*k + n*k**4 + 0 + 1/180*k**6 + 2*k**2 + 0*k**3 - 1/45*k**5. Factor i(m).
2*m*(m - 1)**2/3
Suppose 4 + 14 = 2*d. Factor -2*j**2 + d*j - 9*j - 3*j**3.
-j**2*(3*j + 2)
Let g be 4 - (2 + -2)/4. Factor 5*d**3 - 9*d**3 + 5*d**2 - 4*d + 1 + 2*d**4 - d**g + d**2.
(d - 1)**4
Let n(v) = 0 - 5 - 4*v**2 + 6*v + 6. Let c(w) = 3*w**2 - 5*w. Let z(f) = 6*c(f) + 4*n(f). Find k such that z(k) = 0.
1, 2
Let v(y) be the first derivative of -1/6*y**2 - 1/36*y**4 + 2*y - 1/9*y**3 + 1. Let s(i) be the first derivative of v(i). Factor s(x).
-(x + 1)**2/3
Suppose -2/9*g**3 + 10/9*g**2 + 8/9 - 16/9*g = 0. What is g?
1, 2
Find g such that 12/5*g**2 - 18/5*g + 0 - 2/5*g**3 = 0.
0, 3
Suppose 3*q - 58 + 49 = 0. Let u(p) be the first derivative of 0*p**2 - 4/27*p**q - 1/18*p**4 + 0*p - 1. Determine a, given that u(a) = 0.
-2, 0
Let d be (-5)/((-15)/12)*1. Let x(n) be the third derivative of 1/20*n**5 - 1/24*n**d + 0*n**3 + 0*n + 0 + 1/30*n**6 - n**2. Factor x(h).
h*(h + 1)*(4*h - 1)
Let i(l) be the first derivative of l**5/15 - l**3/3 + l**2/3 - 13. Factor i(y).
y*(y - 1)**2*(y + 2)/3
Let h(o) be the third derivative of o**5/180 - o**4/72 + o**2. Find p, given that h(p) = 0.
0, 1
Factor 2 + 6*n - 7/2*n**2.
-(n - 2)*(7*n + 2)/2
Let b(y) be the second derivative of 3*y**5/100 + y**4/20 - y + 4. What is x in b(x) = 0?
-1, 0
Let t(o) be the second derivative of -4/7*o**2 - 7/10*o**5 - 1/2*o**4 + 0 - 2*o + 8/7*o**3. Solve t(g) = 0.
-1, 2/7
Let h(g) = g**3 + g**2 - g - 1. Let l(t) = -7*t**3 + 5*t**2 - 5*t + 7. Let v(o) = -4*h(o) - l(o). Solve v(r) = 0.
1
Let c(q) be the first derivative of q**5/20 - 3*q**4/8 + 13*q**3/12 - 3*q**2/2 + q + 11. Factor c(j).
(j - 2)**2*(j - 1)**2/4
What is h in -h**3 + 0 - 7/2*h**2 + h + 7/2*h**4 = 0?
-1, 0, 2/7, 1
Suppose -2*w - w + 9 = 0. Suppose r**3 - 3*r - 2*r**w - 2*r**2 + 3*r - r = 0. What is r?
-1, 0
Let r(x) be the first derivative of x**3 - 3*x**2 + 3*x + 1. Find g, given that r(g) = 0.
1
Let i(z) be the third derivative of z**6/120 - z**5/5 - 13*z**4/24 + z**3/3 + 16*z**2. Let k be i(13). Factor -2/3*a**k - 4/3 + 2*a.
-2*(a - 2)*(a - 1)/3
Let j(v) = -v**2 + 6*v + 5. Let h be j(7). Let z = 0 - h. Factor -2*d**2 + 2*d - z*d.
-2*d**2
Let d be (-4)/(-22) + ((-2)/55)/(-2). Factor 1/5*y**2 + d*y + 0.
y*(y + 1)/5
Let g be 4/(-18) - 116/(-36). Let i(r) be the second derivative of 1/8*r**4 + 0*r**2 + 0*r**3 + 0 - g*r. Factor i(x).
3*x**2/2
Let u(w) be the third derivative of w**3 + 1/4*w**4 + 0*w + 6*w**2 + 1/40*w**5 + 0. Factor u(g).
3*(g + 2)**2/2
Suppose 0 = 2*u + 2*u + 2*v - 22, -2 = -u + 3*v. Factor 4/3*x**3 + 2/3*x**4 - 4/3*x**2 - 2/3*x - 2/3*x**u + 2/3.
-2*(x - 1)**3*(x + 1)**2/3
Let d(o) be the second derivative of o**7/42 - o**5/5 + o**4/6 + o**3/2 - o**2 - 26*o. Let d(s) = 0. What is s?
-2, -1, 1
Solve -6 + 16/3*m + 2/3*m**2 = 0.
-9, 1
Let k(z) = z**3 + 4*z**2 - 6*z - 2. Let b be k(-5). Let s(o) be the first derivative of -2/15*o**b - 1 + 1/5*o**4 - o**2 - 4/5*o. Find r, given that s(r) = 0.
-1, -1/2, 2
Suppose -3*k = -5*y + 105 + 24, -5*y - 5*k + 105 = 0. Factor 9*x**2 - y*x**3 - 6*x**5 - 4*x + 7*x**2 - 5*x**4 + 2*x**5 + 21*x**4.
-4*x*(x - 1)**4
Let g be ((-60)/(-6))/(1/3). Let k be g/(-12)*4/(-5). Determine r, given that -2/3 - 1/3*r**3 + r + 0*r**k = 0.
-2, 1
Let v(q) = 21*q**5 + 20*q**4 - q**3 + 11*q - 11. Let k(i) = 11*i**5 + 10*i**4 - i**3 + 6*i - 6. Let u(c) = 11*k(c) - 6*v(c). What is t in u(t) = 0?
-1, 0
Find m, given that -4*m**4 + 26*m - 26*m - 4 + 8*m**2 = 0.
-1, 1
Let j(p) be the first derivative of -p**5/25 - p**4/4 + p**3/15 + p**2/2 + 11. Suppose j(z) = 0. What is z?
-5, -1, 0, 1
Suppose 19 = -9*p + 19. Let s(w) be the second derivative of 1/36*w**4 + 1/90*w**6 + 0*w**3 + p*w**2 + 1/30*w**5 + 0 + 2*w. Determine y so that s(y) = 0.
-1, 0
Let b be 4/6 - 1/(-3). Suppose -3*m - 1 = -13. Let z(w) = -w**4 + 3*w**2 - 2*w - 4. Let v(p) = p + 1. Let y(h) = b*z(h) + m*v(h). Suppose y(a) = 0. What is a?
-1, 0, 2
Let p(v) be the second derivative of -1/6*v**3 - 4*v + 0 - v**2 + 1/12*v**4. Factor p(u).
(u - 2)*(u + 1)
Let z = 1/130 - -511/1170. Determine s, given that z*s - 2/9*s**4 + 0*s**3 + 2/3*s**2 + 0 = 0.
-1, 0, 2
Let n = 39 - 194/5. Factor -1/5*q**2 + 2/5 - n*q.
-(q - 1)*(q + 2)/5
Let m(b) be the second derivative of b - 1/2*b**3 + 1/14*b**7 + 0*b**5 + b**2 + 0 - 5/6*b**4 + 4/15*b**6. Determine q so that m(q) = 0.
-2, -1, 1/3, 1
Let q(d) be the second derivative of 5*d**7/399 - 7*d**6/285 - 3*d**5/190 + 7*d**4/114 - 2*d**3/57 - 13*d. Find v such that q(v) = 0.
-1, 0, 2/5, 1
Let k(v) be the second derivative of -3*v**5/20 - v**4/4 - v**3/8 - 11*v. Factor k(d).
-3*d*(2*d + 1)**2/4
Let z(b) be the first derivative of -b**6/6 + b**5 - 3*b**4/2 - 4*b**3/3 + 4*b**2 + 14. What is y in z(y) = 0?
-1, 0, 2
Let j(n) be the second derivative of 3*n**5/40 - n**4/4 - 17*n + 2. Solve j(u) = 0.
0, 2
Factor 50*u**2 + 232 + 14*u**4 - 33*u - 2*u**5 - 38*u**3 - 224 + u.
-2*(u - 2)**2*(u - 1)**3
Let h(d) be the first derivative of -d**5/15 + d**4/12 + 5*d**3/9 + d**2/2 - 5. Factor h(q).
-q*(q - 3)*(q + 1)**2/3
Let o be 189/54*(-2)/(-28). Determine h, given that -3/4*h**2 + 3/4*h**4 + 1/4*h**5 + 0 + o*h**3 - 1/2*h = 0.
-2, -1, 0, 1
Let o(k) be the second derivative of -1/42*k**7 - 1/6*k**4 + 3*k + 1/10*k**5 + 1/30*k**6 - 1/6*k**3 + 1/2*k**2 + 0. Let o(j) = 0. What is j?
-1, 1
Factor 6*u**3 - 5*u**5 - 5 - 5*u - 10*u**3 + 14*u**3 + 10*u**2 - 5*u**4.
-5*(u - 1)**2*(u + 1)**3
Let b(r) = -7*r**2 - 6*r - 12. Suppose 0 = 5*n + 7 - 37. Let v(p) = p**2 + p + 2. Let s(d) = n*b(d) + 39*v(d). Find m such that s(m) = 0.
-1, 2
What is a in 16*a + 8/3 + 18*a**2 - 40/3*a**3 = 0?
-2/5, -1/4, 2
Let l be -2*15/10*-1. Suppose -3/2 + 3*b**l + 3/2*b**4 - 3*b + 0*b**2 = 0. Calculate b.
-1, 1
What is c in 3*c + 0*c - c**2 - 7*c + 3*c**2 = 0?
0, 2
Let q(t) be the second derivative of t**4/30 - 2*t**3/15 + t**2/5 - 4*t. Factor q(z).
2*(z - 1)**2/5
What is f in 18*f**2 - 7*f**2 - 5*f**2 - 12 - 9*f**2 - 12*f = 0?
-2
Let l(w) be the first derivative of -1/3*w**3 + 1/10*w**5 + 0*w**2 + 2 + 3*w + 0*w**4. Let u(s) be the first derivative of l(s). Factor u(q).
2*q*(q - 1)*(q + 1)
Let h(p) = p + 8. Let m be h(-6). Suppose 2*s = -4*y + 1 - 3, 4*s = -5*y + m. Factor 1/3*u - 2/3 + 2/3*u**2 - 1/3*u**s.
-(u - 2)*(u - 1)*(u + 1)/3
Let p(b) be the third derivative of b**5/30 + 7*b**4/12 + 34*b**2. Factor p(o).
2*o*(o + 7)
Let l be (0/23)/(0 + 2). Factor l*s - 1/5*s**3 - 1/5*s**2 + 0.
-s**2*(s + 1)/5
Let t(v) be the third derivative of v**6/150 + 7*v**5/75 + 11*v**4/30 + 2*v**3/3 + 31*v**2. Factor t