*v + 3*a - a - 2 = 0, 5*v - 2*a = 26. Solve 0 - 2/3*t**v + 0*t + 0*t**2 - 2/3*t**3 = 0 for t.
-1, 0
Let c(u) be the first derivative of u**4/6 + 14*u**3/45 - 8*u**2/15 - 8*u/15 + 4. Suppose c(f) = 0. What is f?
-2, -2/5, 1
Let q(u) be the third derivative of u**6/1080 - u**5/360 + u**3/6 - 2*u**2. Let v(k) be the first derivative of q(k). Factor v(f).
f*(f - 1)/3
Let w = -12 - -7. Let d(h) = h**3 + 6*h**2 + 5*h + 2. Let v be d(w). Find x such that -2/7*x + 0 - 2/7*x**3 - 4/7*x**v = 0.
-1, 0
Let t(h) = 8*h + 58. Let v be t(-7). Solve -3/4*n**v + 3/4*n + 3/4 - 3/4*n**3 = 0 for n.
-1, 1
Let u(f) be the second derivative of 1/10*f**6 + 0 + 0*f**4 + 1/56*f**7 + 3/20*f**5 + 0*f**3 + 2*f + 0*f**2. Factor u(t).
3*t**3*(t + 2)**2/4
Let p(o) be the third derivative of o**8/1008 - o**6/360 + 3*o**2. Factor p(l).
l**3*(l - 1)*(l + 1)/3
Let w(v) = v**2 + 8*v + 9. Let a be -4*(1 - -1) + 1. Let s be w(a). Find t, given that t**2 - 2 + 10*t**s + 7*t - 7*t**2 = 0.
-2, 1/4
Let r = 0 - -3. Let 6*s + 0*s**3 + 3*s**2 + 1 + s**3 + 0*s**3 - r*s = 0. What is s?
-1
Let u(d) be the first derivative of -d**7/280 + d**6/120 - 4*d**3/3 + 3. Let a(m) be the third derivative of u(m). Factor a(g).
-3*g**2*(g - 1)
Let y(j) be the first derivative of -3 + 0*j + 1/11*j**2 - 2/33*j**3. Suppose y(m) = 0. Calculate m.
0, 1
Let k = 3 + -1. Determine q, given that 38 - 12*q**k + 3*q + 0*q - 38 = 0.
0, 1/4
Let r(q) be the second derivative of -q**5/70 - q**4/14 + 4*q**3/21 + 12*q**2/7 - 8*q. Determine c so that r(c) = 0.
-3, -2, 2
Let z(j) be the second derivative of j**6/360 + j**5/60 + j**4/24 - j**3/3 + 4*j. Let x(l) be the second derivative of z(l). Solve x(b) = 0.
-1
Factor 139 + 2*h**2 + 10*h - 66*h + 95 + 158.
2*(h - 14)**2
Determine b so that 0*b**3 - 1/5*b**5 + 0 + 1/5*b + 2/5*b**2 - 2/5*b**4 = 0.
-1, 0, 1
Let t(z) be the third derivative of -z**5/180 - 5*z**4/72 + 4*z**2. Determine d, given that t(d) = 0.
-5, 0
Factor 20 + 35*g - 25*g - 8 + 2*g**2.
2*(g + 2)*(g + 3)
Suppose -52*j = -53*j. Let g(l) be the second derivative of -1/3*l**3 + 0*l**2 - 1/20*l**5 + 1/4*l**4 - l + j. Solve g(p) = 0 for p.
0, 1, 2
Let u(b) be the first derivative of -b**3 - 3/2*b**2 + 0*b - 1. Factor u(y).
-3*y*(y + 1)
Let a(s) be the third derivative of 0*s**3 + 4*s**2 + 0*s + 0 + 0*s**4 + 1/300*s**5. Factor a(w).
w**2/5
Determine p so that -6*p**3 + 14*p + 14*p**2 - 26*p + 4*p**3 = 0.
0, 1, 6
Let v be (-2)/7 + 575/175. Let q(u) be the first derivative of 2*u**3 + v - 6/5*u**5 + 3/2*u**2 + 0*u + 0*u**4 - 1/2*u**6. Factor q(r).
-3*r*(r - 1)*(r + 1)**3
Let w(n) be the first derivative of -2 + 0*n - 9/4*n**4 + 0*n**3 + 3/2*n**2 + 6/5*n**5. Factor w(q).
3*q*(q - 1)**2*(2*q + 1)
Suppose 4*w + 0 = 8. Suppose -3*x + 22 = x - j, -4 = -w*j. Factor -x*a + 2*a**2 + a**3 + 7*a - 2 - 2*a.
(a - 1)*(a + 1)*(a + 2)
Suppose 2*u = -3*g + 20, 2*u = 4*g - 5 - 3. Factor 10/3*m**3 + 8/3*m**u + 0 + 0*m + 4/3*m**2 + 2/3*m**5.
2*m**2*(m + 1)**2*(m + 2)/3
Let d = 37 + -37. Let h(m) be the third derivative of 0 + d*m + 2*m**2 - 1/24*m**3 + 1/240*m**5 + 0*m**4. Factor h(l).
(l - 1)*(l + 1)/4
Let h be 30/10*1/3. Let s be 1 + h/(1/2). Factor -2/9*x**s + 0*x**2 + 0 + 0*x - 2/9*x**4.
-2*x**3*(x + 1)/9
Let l(b) be the second derivative of -2*b**4/3 - 2*b**3/3 + 2*b**2 - 10*b. Factor l(v).
-4*(v + 1)*(2*v - 1)
Let p be (-4)/8*-6 - -3. Suppose 0 = -p*i + 3*i + 6. Factor -10/3*c**4 - 8/9 + 2*c**5 + 0*c - 10/9*c**3 + 10/3*c**i.
2*(c - 1)**3*(3*c + 2)**2/9
Solve -2*k**4 - 3*k**5 - k**4 - 11*k**3 + 3*k**2 + 14*k**3 = 0 for k.
-1, 0, 1
Let i(u) = -7*u**3 - 6*u**2 - 5*u - 6. Let d be 11*2*4/(-8). Let j(c) = -13*c**3 - 11*c**2 - 9*c - 11. Let v(p) = d*i(p) + 6*j(p). Factor v(n).
-n*(n - 1)*(n + 1)
Let x = -6 + 9. Let s(q) be the third derivative of -1/270*q**5 + 2*q**2 - 1/27*q**x + 1/54*q**4 + 0 + 0*q. Suppose s(j) = 0. What is j?
1
Factor 2*z**5 + 1085*z**4 - 3 + 3 + 2*z**3 - 1089*z**4.
2*z**3*(z - 1)**2
Let -4/5 + 1/5*b**2 + 0*b = 0. What is b?
-2, 2
Let m = 7/10 - 8/15. Let x(g) be the first derivative of 0*g**5 + 0*g**3 - m*g**6 + 1/2*g**4 - 1/2*g**2 + 0*g - 2. Find s such that x(s) = 0.
-1, 0, 1
Suppose -24*d + 36/7 + 28*d**2 = 0. Calculate d.
3/7
Suppose -8*i = -4*i - 3148. Let q = i + -7073/9. Factor -14/9*o + 4/9 + q*o**2.
2*(o - 1)*(5*o - 2)/9
Let g(q) be the third derivative of -7*q**6/320 + q**5/10 - q**4/16 + 5*q**2. Solve g(b) = 0.
0, 2/7, 2
Let r(p) be the third derivative of p**5/60 - p**4/3 + p**3/3 - 2*p**2. Let a be r(8). Factor -1/2*i**a + 1/2 + 0*i.
-(i - 1)*(i + 1)/2
Find l such that 4/7*l**5 + 0*l**2 + 0*l + 0 - 8/7*l**4 + 4/7*l**3 = 0.
0, 1
Let z(q) be the third derivative of -q**8/56 - q**7/14 - 3*q**6/40 + q**5/20 + q**4/8 + 24*q**2. Factor z(o).
-3*o*(o + 1)**3*(2*o - 1)
Let u be (-3 - 1)/(1 - 2). Suppose -u = -2*h - 0*h. Factor -2/9 + 2/9*y**h + 0*y.
2*(y - 1)*(y + 1)/9
Solve 0*l - 4/7*l**2 + 0 - 2/7*l**3 = 0.
-2, 0
Let w(x) = x**2 - 6*x + 3. Let v be w(5). Let r be v + (-4 - -3) - -6. What is s in 10*s**3 - 3*s**r - 4*s + 10*s**2 + 7*s**3 = 0?
-1, 0, 2/7
What is q in 2*q**4 + 3*q**4 - 4*q**2 + 8*q**3 - 3*q**4 - 6*q**4 = 0?
0, 1
Let z be (-10)/(-4)*(-24)/(-20). Let d = 9 - 7. Factor 0 - 1/4*g**d + g**z + 0*g.
g**2*(4*g - 1)/4
Let d(n) = -2*n**2 + 8*n - 12. Let g(o) = o**2 - 7*o + 13. Let x(k) = -3*d(k) - 4*g(k). Factor x(c).
2*(c - 2)*(c + 4)
Let f(z) be the second derivative of z**4/18 + z**3/9 - 10*z. Factor f(x).
2*x*(x + 1)/3
Let s(o) = -35*o**4 - 10*o**3 + 5*o - 5. Let z(d) = 18*d**4 + 5*d**3 - 2*d + 2. Let f(h) = -2*s(h) - 5*z(h). Factor f(m).
-5*m**3*(4*m + 1)
Let h be 2 + (-3 - -5) + -2. Determine s, given that 4*s**h + s - s**2 - 2*s**2 = 0.
-1, 0
Suppose 4*u - 6 - 10 = 0. Let g(n) = -21*n**3 - n**2 + 10*n - 10. Let x(i) = 4*i**3 - 2*i + 2. Let w(k) = u*g(k) + 22*x(k). Factor w(c).
4*(c - 1)**2*(c + 1)
Let f(w) be the first derivative of w**4/16 + 5*w**3/12 + 3*w**2/8 - 9*w/4 - 2. What is h in f(h) = 0?
-3, 1
Let l(r) be the third derivative of -1/546*r**8 + 0*r**5 + 0*r**4 + 3*r**2 + 0*r**3 - 4/1365*r**7 - 1/780*r**6 + 0*r + 0. Factor l(x).
-2*x**3*(2*x + 1)**2/13
Factor -2*f**2 - 14*f**4 + 788*f**5 + 0*f**2 - 10*f**3 - 794*f**5.
-2*f**2*(f + 1)**2*(3*f + 1)
Solve -3*m**4 - 21*m**3 + 29*m**3 + 7*m**4 = 0.
-2, 0
Let v = 409/6 - 68. Let q(l) be the first derivative of 4/3*l + 1 + 0*l**3 - l**2 + v*l**4. Solve q(u) = 0.
-2, 1
Let t(d) be the first derivative of -d**6/900 + d**4/60 + 4*d**3/3 - 2. Let k(m) be the third derivative of t(m). Find i, given that k(i) = 0.
-1, 1
Let 2*b - b**4 - 5 + 8*b**4 - 2*b**3 - 7*b**2 + 5 = 0. Calculate b.
-1, 0, 2/7, 1
Let c be -3 + 5 - 1/(-1). Let v be ((-2)/(-5))/(c/15). Determine k so that k**3 + 5*k**2 + 1 - k - v + k**2 - 5*k**2 = 0.
-1, 1
Factor 4/5*w - 1/5*w**3 - 4/5 + 1/5*w**2.
-(w - 2)*(w - 1)*(w + 2)/5
Let j(t) be the second derivative of 1/50*t**6 + 13/100*t**5 + 1/5*t**2 - 4*t + 19/60*t**4 + 0 + 11/30*t**3. Factor j(l).
(l + 1)**2*(l + 2)*(3*l + 1)/5
Let o be (-2)/(-12)*((-26)/4 + 8). Let z = 0 + 0. Factor 0*n**3 + 1/4*n**2 - o*n**4 + z*n + 0.
-n**2*(n - 1)*(n + 1)/4
Let y = 2 - 1. Let q be (-8 - 4)*y/(-3). Factor -x**3 + 0 + x**q + 0 + 2*x**3 - x**2 - x.
x*(x - 1)*(x + 1)**2
Let r(c) be the second derivative of -c**6/1620 + c**5/180 - c**4/54 + c**3/6 - 2*c. Let h(k) be the second derivative of r(k). Factor h(l).
-2*(l - 2)*(l - 1)/9
Let g(d) be the first derivative of -d**5 - 5*d**4/4 + 5*d**3 + 5*d**2/2 - 10*d + 66. Factor g(a).
-5*(a - 1)**2*(a + 1)*(a + 2)
Let k(z) be the second derivative of 5*z**6/9 - z**5/3 + z**4/18 + 5*z. Solve k(c) = 0 for c.
0, 1/5
Let v = 1/37 - -71/111. Solve -v*q**3 - 2/3*q**2 + 0 + 4/3*q = 0 for q.
-2, 0, 1
Factor 0*c - 2/5*c**4 + 0*c**2 - 4/5*c**3 + 0.
-2*c**3*(c + 2)/5
Let p(x) be the second derivative of -2/9*x**2 - 6*x + 0 + 1/27*x**3 + 1/54*x**4. Determine l so that p(l) = 0.
-2, 1
Let f = 63 + -62. Solve 3/2*x**2 - 7/2*x + f = 0 for x.
1/3, 2
Let j(z) be the first derivative of 1/9*z**3 + 2 + 0*z - 1/6*z**2. Factor j(s).
s*(s - 1)/3
Factor -46*d**2 - 51*d**2 - 10*d + 102*d**2.
5*d*(d - 2)
Suppose -7*w + 12 = -4*w. Let 1 - 28*f**2 + 29*f**2 - w*f + 2 = 0. What is f?
1, 3
Factor -x + 1/3*x**2 + 0.
x*(x - 3)/3
Let m = -8 - -2. Let o be (-2)/3 + (-16)/m. Determine s, given that 2*s - 2*s - 2*s**4 + 2*s**o - 2*s**3 + 2*s**