2/11*h**2 + 0 = 0.
-1, 0
Factor 0 + 0*z + 1/4*z**3 + 0*z**2.
z**3/4
Suppose 0*z + 10 = 2*z, -5*z + 29 = 2*v. Factor 11/3*f - 3*f**v - 2/3.
-(f - 1)*(9*f - 2)/3
Let l(a) be the third derivative of a**7/840 + a**6/360 - a**5/120 - a**4/24 - a**3/2 + 2*a**2. Let u(c) be the first derivative of l(c). Factor u(y).
(y - 1)*(y + 1)**2
Let o(f) be the first derivative of 1/6*f**2 - 1 + 1/9*f**3 - 1/3*f - 1/12*f**4. Factor o(y).
-(y - 1)**2*(y + 1)/3
Let -40/11*f + 200/11*f**2 + 2/11 = 0. What is f?
1/10
Determine h, given that 0*h + 0 - 3/5*h**3 + 3/5*h**2 = 0.
0, 1
Suppose -b + 4*m - 13 = 0, -3*b - 4*m + 25 = -0. Let a be (-1)/(b/18*-3). Factor -2/9*o**3 - 2/3*o - 2/3*o**a - 2/9.
-2*(o + 1)**3/9
Find x, given that -58*x - 4*x**2 + 14*x + x**2 + 26*x - 27 = 0.
-3
Factor 2/7*u**4 + 0 - 10/7*u**2 - 2/7*u**5 + 6/7*u**3 + 4/7*u.
-2*u*(u - 1)**3*(u + 2)/7
What is k in 0*k - 7/2*k**5 + 0 + k**3 + 0*k**2 - 5/2*k**4 = 0?
-1, 0, 2/7
Let r(d) = -d. Let v be r(-2). Let -2 + w**2 + w**2 - v*w + 2*w**2 = 0. Calculate w.
-1/2, 1
Let p be (-6)/(-4)*(3 - -1). Suppose -4*t + 14 = p. Factor -3 + 2*k + 3 + 1 - k**4 + 0*k - t*k**3.
-(k - 1)*(k + 1)**3
Suppose 19*b - 22*b = -15. Let 2/3 + 1/3*s + 2/3*s**4 - 4/3*s**2 - 2/3*s**3 + 1/3*s**b = 0. Calculate s.
-2, -1, 1
What is k in -6*k**4 + 9/2*k**2 - 33/2*k**3 + 0*k + 0 = 0?
-3, 0, 1/4
Factor 3/5*o**4 + 1/5*o**5 - 2/5*o**3 - 12/5*o**2 - 8/5*o + 0.
o*(o - 2)*(o + 1)*(o + 2)**2/5
Let 0 - 6/5*m - 9/5*m**2 + 12*m**3 = 0. What is m?
-1/4, 0, 2/5
Let o(b) be the third derivative of b**9/151200 + b**8/50400 - b**7/12600 - b**6/1800 + b**5/60 - 3*b**2. Let u(i) be the third derivative of o(i). Factor u(r).
2*(r - 1)*(r + 1)**2/5
Let t(f) be the first derivative of -98*f**3/3 - 28*f**2 - 8*f + 25. Factor t(m).
-2*(7*m + 2)**2
Let z(x) be the second derivative of 3*x - x**3 + 0 + 0*x**2 - 1/14*x**7 - 1/2*x**6 - 27/20*x**5 - 7/4*x**4. Determine j, given that z(j) = 0.
-2, -1, 0
Let l(n) be the second derivative of n**7/630 - n**6/360 + 2*n**2 - 2*n. Let h(q) be the first derivative of l(q). Let h(r) = 0. Calculate r.
0, 1
Let q(v) be the second derivative of v**5/10 - 5*v**4/2 + 21*v**3 - 49*v**2 + 25*v. What is c in q(c) = 0?
1, 7
Let l = -6 - -9. Let b(r) be the third derivative of 0*r + 0 + r**2 - 1/20*r**5 - 1/24*r**4 + 0*r**l - 3/160*r**6. Factor b(h).
-h*(3*h + 2)**2/4
Let a(y) be the first derivative of -y**6/45 - y**5/10 - y**4/9 + 2*y + 3. Let k(d) be the first derivative of a(d). Factor k(r).
-2*r**2*(r + 1)*(r + 2)/3
Factor 11 + 6*b - 4*b**2 + 5*b + 1 - 3*b.
-4*(b - 3)*(b + 1)
Suppose 3*z = -z + 16. Factor 17*i**2 - z*i**3 + 2*i**5 - 17*i**2 + 2*i.
2*i*(i - 1)**2*(i + 1)**2
Suppose -v - v - 24 = 0. Let u be ((-6)/(-4))/((-9)/v). Factor 2*f**2 - 5*f**2 + f**u.
-2*f**2
Determine d so that -31/3*d**3 + 19/3*d**4 - 1/3*d - 4/3*d**5 - 2/3 + 19/3*d**2 = 0.
-1/4, 1, 2
Let b(j) be the first derivative of -1 - 1/5*j**5 - 1/4*j**4 - 2*j + j**3 + 1/2*j**2. Factor b(d).
-(d - 1)**2*(d + 1)*(d + 2)
Let 4/3*n**3 - 1 + 1/3*n**4 + 2/3*n**2 - 4/3*n = 0. What is n?
-3, -1, 1
Let c(d) be the first derivative of -5*d**4/4 - 158*d**3/3 - 608*d**2 + 512*d - 59. Factor c(f).
-(f + 16)**2*(5*f - 2)
Let q(d) be the second derivative of d**7/525 - d**6/300 - d**5/150 + d**4/60 - d**2/2 + 4*d. Let o(f) be the first derivative of q(f). Factor o(w).
2*w*(w - 1)**2*(w + 1)/5
Let z(u) = 3*u + 6 - 4*u - 7*u**2 - 1 - 3*u + u**3. Let q(t) = -t**2 - t + 1. Let c(a) = 20*q(a) - 4*z(a). Find i such that c(i) = 0.
0, 1
Let c(r) be the first derivative of r**5/20 - r**4/6 + r**3/6 + r + 2. Let g(f) be the first derivative of c(f). Determine j so that g(j) = 0.
0, 1
Let q be 214/10 + 4/(-10). Suppose 0 = y + 2*g + 8, 5*y - q = g - 6. Factor -4/7 + 2/7*i - y*i**5 - 68/7*i**3 + 32/7*i**2 + 52/7*i**4.
-2*(i - 1)**4*(7*i + 2)/7
Suppose 0 = 2*r + r. Suppose -60 = -3*x - r*x. What is c in 2*c**2 - 5*c**5 + 18*c**2 + 2 + 3*c**5 - x*c**3 + 10*c**4 - 10*c = 0?
1
Let f(w) be the third derivative of -w**7/105 - w**6/3 - 10*w**5/3 - 30*w**2. Suppose f(d) = 0. Calculate d.
-10, 0
Let h = -5 - -7. Factor z + h*z**2 + z - 5 + 1.
2*(z - 1)*(z + 2)
Let t(m) = -4*m**4 - 16*m**3 - 18*m**2 - 22*m + 2. Let i(f) = -4*f - 1 - f**2 + 0*f**2 - f + 6*f. Let u(r) = 6*i(r) + t(r). Suppose u(y) = 0. Calculate y.
-1
Let k be 3/(-6) + ((-5)/(-2) - 2). Factor 1/2*u**2 + k*u - 1/2*u**3 + 0.
-u**2*(u - 1)/2
Determine y so that 6/5*y**2 + 6/5 - 12/5*y**3 - 3/5*y**5 - 12/5*y**4 + 3*y = 0.
-2, -1, 1
Factor 14/9*x**3 - 2/9*x**4 - 16/9 + 40/9*x - 4*x**2.
-2*(x - 2)**3*(x - 1)/9
Factor 1/9 + 8/9*o + 16/9*o**2.
(4*o + 1)**2/9
Find m, given that 0 + 1/3*m**3 + 4/3*m - 5/3*m**2 = 0.
0, 1, 4
Suppose -3*m - 9 + 9 = 0. Let f(p) be the third derivative of 1/45*p**6 - 1/15*p**5 - p**2 + 0 - 5/48*p**4 + m*p - 1/18*p**3. Factor f(o).
(o - 2)*(4*o + 1)**2/6
Let h be (6 + 0)*(-6)/4. Let b = h - -17. Factor -1 + 98*d**5 + b*d**3 + 1 + 56*d**4.
2*d**3*(7*d + 2)**2
Let z(w) be the first derivative of w**8/840 + w**7/105 + w**6/45 + 2*w**3 - 6. Let r(g) be the third derivative of z(g). Factor r(q).
2*q**2*(q + 2)**2
Solve -3/8 + 1/2*a - 1/8*a**2 = 0.
1, 3
Suppose 3*s - 2*o - 9 = 0, 3 = -s - o + 6. Let p be 0 - -2*(-2 + s). Factor 5*l**3 - l**3 + 16*l - 8 - 10*l**2 - p*l**3.
2*(l - 2)**2*(l - 1)
Let z(a) be the third derivative of 0 - a**2 + 0*a**3 + 0*a + 0*a**5 + 1/24*a**4 + 1/336*a**8 - 1/60*a**6 + 0*a**7. Find g such that z(g) = 0.
-1, 0, 1
Let i(o) = o**4 + o**2 - o. Let a(d) = -8*d**4 - 4*d**2 + 5*d. Let f(s) = -4*a(s) - 28*i(s). Factor f(x).
4*x*(x - 1)**2*(x + 2)
Determine c, given that 3*c**2 - 3*c**2 - 2*c**2 - 2*c + 0*c = 0.
-1, 0
Factor -2*u**2 + u + 0 + 3/4*u**4 + 1/4*u**3.
u*(u - 1)*(u + 2)*(3*u - 2)/4
Suppose -2*b + 11 = -l + 2*l, -5*b = 4*l - 35. Factor -t - 3*t**b - t + 5*t**3.
2*t*(t - 1)*(t + 1)
Suppose 0*w - 6*w + 24 = 0. Let m(x) be the first derivative of 1/2*x**w + 0*x**3 + 2 + 0*x + 0*x**2 - 2/5*x**5. Factor m(d).
-2*d**3*(d - 1)
Let z(f) be the third derivative of f**9/30240 + f**8/2520 + f**7/630 - f**5/60 - f**2. Let y(u) be the third derivative of z(u). Solve y(t) = 0.
-2, 0
Let d be ((-9)/54)/((-2)/28). Let p be 4/(-14) + (-23)/(-7). Factor p*g**2 - d*g**3 - 5/3*g + 1/3 + 2/3*g**4.
(g - 1)**3*(2*g - 1)/3
Let r(b) = b**3 - 2*b**2 - 8*b + 1. Let u be r(7). Let y = u - 946/5. Let -3/5*t**2 + 4/5*t + y = 0. What is t?
-2/3, 2
Let x be 1 - 1 - -2 - -2. Let z = 5 + -3. What is k in 0*k**2 + 2*k**2 + z*k**4 - x*k**2 = 0?
-1, 0, 1
Let g(m) be the third derivative of -m**7/525 + m**6/150 - m**4/30 + m**3/15 - 3*m**2. What is l in g(l) = 0?
-1, 1
Let w(x) be the third derivative of x**7/2240 - x**6/320 + x**4/16 - 7*x**3/6 - 6*x**2. Let a(t) be the first derivative of w(t). Determine p so that a(p) = 0.
-1, 2
Let u(d) be the second derivative of -d**4/30 - 16*d**3/15 - 64*d**2/5 + d - 8. Solve u(p) = 0.
-8
Let h(p) be the third derivative of 33/80*p**5 + 2/35*p**7 + 7/8*p**4 + 0*p - 7/20*p**6 + 1/2*p**3 + 0 - 5*p**2. What is i in h(i) = 0?
-1/4, 2
Let i(p) = -p**3 + 16*p**2 - 4*p + 66. Let l be i(16). Solve -4/13*v**l - 2/13*v**5 - 4/13 + 8/13*v**4 + 10/13*v - 8/13*v**3 = 0 for v.
-1, 1, 2
Let f = 207/406 - 2/203. Factor f*l**2 + 0 + 0*l + l**3 - 3/2*l**4.
-l**2*(l - 1)*(3*l + 1)/2
Let i(a) = 5*a - 9. Let d(c) = -9*c + 17. Let r(m) = -4*d(m) - 7*i(m). Let y be r(7). Factor 12/7*w**y + 2/7*w**4 - 8/7*w - 8/7*w**3 + 2/7.
2*(w - 1)**4/7
Let f be 1*436/(-3345)*-3. Let r = 2/223 + f. Factor 0*z - r*z**3 + 0*z**2 + 0 + 2/5*z**4.
2*z**3*(z - 1)/5
Factor 2*p - 2/3*p**5 + 4/3*p**2 - 2*p**4 + 2/3 - 4/3*p**3.
-2*(p - 1)*(p + 1)**4/3
Let k(a) = a**2 + a - 2. Let d be (3/(-6))/(1/(-2)). Let o(f) = -6 + 0 + 4*f**2 - d + 4*f. Let p(t) = 7*k(t) - 2*o(t). Solve p(q) = 0 for q.
-1, 0
Let i(n) = -n**3 - 1. Let s be (-2)/(-1) - (11 + -8). Let u be i(s). Suppose 1/2*a**3 + 1/2*a**5 + a**4 + 0 + u*a**2 + 0*a = 0. Calculate a.
-1, 0
Let n(l) be the third derivative of -5*l**6/24 - l**5 + 55*l**4/24 + 5*l**3 - 9*l**2. Factor n(i).
-5*(i - 1)*(i + 3)*(5*i + 2)
Let y(i) be the first derivative of 3*i**4/20 - i**3/5 - 3*i**2/5 + 23. Solve y(v) = 0 for v.
-1, 0, 2
Let f(u) be the second derivative of -u**8/8400 - u**7/1575 - u**6/900 - 5*u**4/12 + 5*u. Let i(b) be the third derivative of f(b). Let i(p) = 0. What is p?
-1, 