**3 + 0 + x*a - 1/2*a**2 + 1/12*a**4. Let w(g) = 0. Calculate g.
-1, 1
Suppose 3*w - 4*f = -0*f + 6, 10 = 5*w + f. Find g such that -3/5*g + 3/5*g**4 - 3/5*g**w + 0 + 3/5*g**3 = 0.
-1, 0, 1
Suppose 7*g - 26 = -5. What is t in 1/3 - 1/3*t**2 - 1/3*t + 1/3*t**g = 0?
-1, 1
Let o(y) = 6*y**2 - 7*y - 7*y**2 - 2 - 1 + 0*y**2. Let l be o(-6). Factor -6*p - 2*p**4 + 2*p**2 - 8*p - 2*p**l + 16*p.
-2*p*(p - 1)*(p + 1)**2
Let t(k) be the second derivative of -k**6/9 - 3*k**5/5 - 17*k**4/18 + 4*k**2/3 - 6*k - 1. Determine n, given that t(n) = 0.
-2, -1, 2/5
Let x be (-1 + -1)/((-2)/4). Suppose -x - 11 - 18*m**2 + 3*m**3 + 2 + 36*m - 11 = 0. What is m?
2
Let x(l) = -5*l**2 - 2*l**3 + l**3 + 4*l - 3*l + 3 + 3. Let h be x(-5). Factor 2*t**2 + 3*t - h - 3*t - 1.
2*(t - 1)*(t + 1)
Suppose 6*z - z = 10. Factor 0 + 1/3*u + 1/2*u**3 + 5/6*u**z.
u*(u + 1)*(3*u + 2)/6
Determine b, given that 8/3*b + 4/3 + 4/3*b**2 = 0.
-1
Let y(t) be the third derivative of t**5/15 + t**4/3 + 2*t**3/3 + 13*t**2. Factor y(j).
4*(j + 1)**2
Let c = 125 + -373/3. Let q(w) be the first derivative of 0*w**2 + 0*w + w**5 + 3 + c*w**3 - 7/4*w**4. Determine f, given that q(f) = 0.
0, 2/5, 1
Let v(f) = -f**2 + 5*f - 1. Let q be v(4). Factor 2*b - 2*b**3 - 5*b + q*b.
-2*b**3
Let j(g) be the third derivative of -g**5/60 + g**4/8 - g**3/3 + 7*g**2. Determine r, given that j(r) = 0.
1, 2
Let k(r) = -36*r**3 + 11*r**2 + 186*r - 150. Let u(a) = 7*a**3 - 2*a**2 - 37*a + 30. Let f(y) = 2*k(y) + 11*u(y). Solve f(n) = 0 for n.
-3, 1, 2
Determine v, given that -1/2*v**2 + 5/2*v - 2 = 0.
1, 4
Let l(r) = 2*r**2 - 2*r - 8. Let i be l(3). Let w(f) be the second derivative of -f**2 + 4*f + 0 + 1/10*f**5 + 1/6*f**i - 1/3*f**3. Factor w(a).
2*(a - 1)*(a + 1)**2
Let w be ((-175)/15)/(-7) + (-4)/24. Solve w*b**3 + 27/2 + 21/2*b**2 + 45/2*b = 0.
-3, -1
Solve -28/13*n + 8/13*n**3 + 6/13 + 14/13*n**2 = 0.
-3, 1/4, 1
Suppose 3*q + 3*m - 1 - 14 = 0, -5*q = m - 13. Let d be (10/4)/(1/q). Suppose z**4 + d*z**2 - 10*z**3 - 3*z**2 + 10*z - 7*z**4 + 4 = 0. What is z?
-1, -2/3, 1
Let d(x) be the first derivative of 2/75*x**5 + 0*x + 0*x**2 + 2/45*x**3 + 1/15*x**4 + 9. What is t in d(t) = 0?
-1, 0
Let n(v) be the second derivative of v**5/50 - v**4/15 + 41*v. Factor n(q).
2*q**2*(q - 2)/5
Suppose -5*n + 84 = -8*n. Let v be (1 + 7/(-6))*n. Determine d so that -6*d + 10/3*d**2 - v*d**4 + 6*d**3 + 4/3 = 0.
-1, 2/7, 1
Suppose 0 = -0*b + 6*b - 30. Find o, given that 0 + 0*o - o**4 + 3/4*o**b + 1/2*o**2 - 1/4*o**3 = 0.
-2/3, 0, 1
Factor 6*c - 3*c**3 + 3 + c**3 + 0*c**3 + 1.
-2*(c - 2)*(c + 1)**2
Let x = -29 - -49. Let o be (-8)/(-5) + 8/x. What is u in -o*u**3 + 2*u**3 + 2*u**4 + u - u**5 - 2*u**2 = 0?
-1, 0, 1
Let q be (-2)/(-7) - 6/(-28). Determine b so that -q - 1/2*b**3 + 1/2*b + 1/2*b**2 = 0.
-1, 1
Let u = 273/2 - 32759/240. Let f(k) be the third derivative of 1/48*k**4 + 0*k**3 + 0 + 2*k**2 - 1/160*k**6 - u*k**5 + 0*k. Suppose f(m) = 0. Calculate m.
-1, 0, 2/3
Let d(s) be the second derivative of -s**6/900 - s**5/50 - 3*s**4/20 - s**3 - 6*s. Let c(o) be the second derivative of d(o). Factor c(u).
-2*(u + 3)**2/5
Let x(q) = q**2 - 6*q + 2. Let f(n) be the first derivative of 13/2*n**2 - 2/3*n**3 - 3*n - 1. Let b(p) = -2*f(p) - 5*x(p). Factor b(o).
-(o - 2)**2
Factor -16/5 - 1/5*c**2 - 8/5*c.
-(c + 4)**2/5
Let m(y) be the first derivative of -y**7/560 + y**6/80 - y**4/4 + 4*y**3/3 + 5. Let u(z) be the third derivative of m(z). Factor u(t).
-3*(t - 2)**2*(t + 1)/2
Let u(x) be the second derivative of -1/6*x**3 + x + 0 - 1/2*x**2 + 1/12*x**4 + 1/20*x**5. Factor u(q).
(q - 1)*(q + 1)**2
Factor 3/4*v**5 + 3/2*v**2 - 3/4*v**4 + 3/4*v - 3/2*v**3 - 3/4.
3*(v - 1)**3*(v + 1)**2/4
Let w(u) = -2*u**2 + 3*u + 2. Let d(x) = 5*x**2 - 8*x - 5. Let z(f) = -3*d(f) - 8*w(f). Find b, given that z(b) = 0.
-1, 1
Let w(d) be the second derivative of -3/20*d**5 + 0*d**4 + 8*d + 0 + 0*d**2 + 1/2*d**3. Let w(b) = 0. What is b?
-1, 0, 1
Let k = 14 + -12. Let p be ((-8)/(-28))/(3/7). Suppose k*t**3 - p - 8/3*t**4 - 2*t + 10/3*t**2 = 0. What is t?
-1, -1/4, 1
Find s such that 10*s**2 - 8*s**3 - 5*s**2 - 4*s**2 - 3*s**2 = 0.
-1/4, 0
Factor 57 + 3*d**5 + 6*d**2 - 57 - 6*d**4 - 3*d.
3*d*(d - 1)**3*(d + 1)
Let f be ((-12)/10)/(9/(-30)). Let k(t) be the third derivative of 0 + 1/45*t**5 - 1/180*t**6 + 1/36*t**f + 0*t + 3*t**2 - 2/9*t**3. Factor k(o).
-2*(o - 2)*(o - 1)*(o + 1)/3
Let n(w) be the third derivative of w**7/5880 - w**5/280 + w**4/12 - 2*w**2. Let z(b) be the second derivative of n(b). Solve z(l) = 0.
-1, 1
Let f(r) = r**3 - 9*r**2 + 2*r + 10. Let t be f(9). Factor 18*l - t + 3 - 3*l**2 - 2.
-3*(l - 3)**2
Let w(t) be the first derivative of -t**6/3 + 6*t**5 - 45*t**4 + 180*t**3 - 405*t**2 + 486*t + 4. Factor w(o).
-2*(o - 3)**5
Suppose -2*n - 3*n - 3*i = 9, -3*n + 3*i = -9. Suppose n*p + 7 = 3*v + p, 4*v + 3*p = 11. Let 2*w**2 + v*w**2 + 4*w - 6*w**2 = 0. What is w?
0, 2
Let k(d) be the second derivative of 0*d**5 + d + 1/420*d**6 + 0 - 1/84*d**4 + 0*d**3 - 1/2*d**2. Let c(t) be the first derivative of k(t). Factor c(m).
2*m*(m - 1)*(m + 1)/7
Let f(r) be the third derivative of -r**5/105 + 2*r**3/21 + 47*r**2. Factor f(n).
-4*(n - 1)*(n + 1)/7
Factor 264*a**4 + 0*a**5 + 4*a**5 - 260*a**4 - 2*a**5.
2*a**4*(a + 2)
Factor 2*d**2 - 2*d - 2*d**2 - 22*d + 32 + 4*d**2.
4*(d - 4)*(d - 2)
Let u(r) be the second derivative of r**4/48 + 5*r**3/24 + 14*r. Factor u(a).
a*(a + 5)/4
Let s(f) be the third derivative of -1/240*f**6 + 1/840*f**7 + 1/24*f**3 + 1/1344*f**8 + 0*f + 1/96*f**4 + 0 + 3*f**2 - 1/120*f**5. Solve s(n) = 0 for n.
-1, 1
Let y(r) = -r + 3. Let f(p) = -2*p + 7. Let k(u) = -4*f(u) + 9*y(u). Let g be k(-3). Find h, given that h**2 - h**4 + h**2 - g*h**4 + h - h**5 + h**4 = 0.
-1, 0, 1
Let m(r) be the first derivative of -3*r**5/35 - r**4/14 + r**3/3 - r**2/7 + 22. Factor m(v).
-v*(v - 1)*(v + 2)*(3*v - 1)/7
Let d(m) be the third derivative of -m**6/40 - m**5/15 - m**4/24 - 39*m**2. Factor d(g).
-g*(g + 1)*(3*g + 1)
Factor 17*m**2 - 12*m - 12*m**3 + 3 - 31*m**4 + 34*m**4 + m**2.
3*(m - 1)**4
Let k = 168 + -2519/15. Let a(b) be the second derivative of 1/50*b**5 + k*b**3 - 3*b + 0 + 1/15*b**4 + 0*b**2. Factor a(u).
2*u*(u + 1)**2/5
Let s(x) = -29*x**2 - 38*x - 10. Let n(f) = 24*f + 37*f + 39 + 92*f + 117*f**2. Let u(v) = -2*n(v) - 9*s(v). Factor u(t).
3*(3*t + 2)**2
Let w(k) be the second derivative of 1/21*k**3 + 0 + 0*k**2 - 2/105*k**6 - 3*k + 1/21*k**4 + 0*k**5 - 1/147*k**7. Factor w(v).
-2*v*(v - 1)*(v + 1)**3/7
Let l(i) = -2*i - 5. Let g be l(-4). Find t such that -10*t**g + 21*t**2 - 4*t**2 - 11*t**2 + 4*t = 0.
-2/5, 0, 1
Let i = 9 + -5. Suppose -3*c + 5 = -i. Factor -1 - c + t**2 + 3.
(t - 1)*(t + 1)
Let t(s) be the third derivative of -s**8/15120 - s**7/7560 + s**6/1080 + s**5/20 + s**2. Let a(y) be the third derivative of t(y). Factor a(i).
-2*(i + 1)*(2*i - 1)/3
Suppose 3*v + 0 = 9. Factor -4*a**2 - 9*a**5 - 6*a**v + 2*a**3 + 13*a**5 + 4*a**4.
4*a**2*(a - 1)*(a + 1)**2
Factor -1/7*h**3 - 2/7*h**2 + 1/7*h + 2/7.
-(h - 1)*(h + 1)*(h + 2)/7
Let i be (2/6)/(10/15). Let h(g) = g + 16. Let s be h(-14). Find k, given that k - 1/2 - i*k**s = 0.
1
Let a = 4/25 - 11/225. Let l(d) be the third derivative of -d**2 + 0*d - a*d**3 + 0 + 5/72*d**4 - 1/60*d**5. Suppose l(b) = 0. Calculate b.
2/3, 1
Let i be (-355)/(-20) + (-3)/(-12). Let k be (6/9)/(4/i). Solve 3*d**2 - 2*d**k - 2*d**3 + 2*d**3 + d**3 = 0.
0, 3
Let r be -4*(3/(-2) + 1). Factor 2*v**4 - v**r + 3*v**4 + v + 1 - 4*v**4 - 2*v**3 + v**5 - v**2.
(v - 1)**2*(v + 1)**3
Let n(f) be the second derivative of -1/45*f**6 + 0 - 5*f + 0*f**2 - 1/18*f**4 + 0*f**3 - 1/15*f**5. Determine v, given that n(v) = 0.
-1, 0
Factor -1/3*p**2 - 1/3 - 2/3*p.
-(p + 1)**2/3
Let n be 8 + -1*6 + 4. Let y be (-9)/24*n/(-9). Solve 1/2*a**2 + 1/2*a**3 + 1/4*a**5 + y - 3/4*a - 3/4*a**4 = 0.
-1, 1
Let p(a) be the first derivative of 1/2*a**4 + 0*a**3 + 0*a + 4/5*a**5 + 0*a**2 + 1/3*a**6 - 1. Determine j so that p(j) = 0.
-1, 0
Let w = -384/5 - -77. Factor w*t**2 - 1/5*t + 0.
t*(t - 1)/5
Let u(g) be the second derivative of -g**6/60 + g**5/40 + g**4/8 - 5*g**3/12 + g**2/2 + 16*g. Let u(m) = 0. Calculate m.
-2, 1
Let o(l) be the first derivative of 9/4*l**4 - 9/2*l**2 + l**3 + 2 - 6*l + 3/5*l**5. Suppose o(x) = 0. Calc