. Let i be t(1). Let d(f) = -f**2 + 7*f - 7. Let x(a) = i*d(a) - 7*z(a). Find c such that x(c) = 0.
0
Let s(t) be the first derivative of -t**6/3 + t**4/2 + 15. Determine j, given that s(j) = 0.
-1, 0, 1
Let o(c) be the second derivative of -c**6/6 + 5*c**4/12 + 12*c. Factor o(y).
-5*y**2*(y - 1)*(y + 1)
Let m(f) = -5*f**5 - 10*f**4 - 5*f**2. Let h(x) = 3*x**5 + 5*x**4 + 2*x**2. Let v(s) = 5*h(s) + 2*m(s). Determine q, given that v(q) = 0.
-1, 0
Factor 0 + 0*i**3 - 2/5*i**2 - 1/5*i + 1/5*i**5 + 2/5*i**4.
i*(i - 1)*(i + 1)**3/5
Let b be ((-5)/45)/(10*-2). Let g(i) be the third derivative of -b*i**6 + 0*i**4 + 0*i**3 - i**2 + 0*i + 0*i**5 + 0. Solve g(k) = 0 for k.
0
Let n(o) be the second derivative of -1/75*o**6 + 1/210*o**7 - 1/30*o**3 + 0*o**5 + 0*o**2 + 0 + 5*o + 1/30*o**4. Factor n(h).
h*(h - 1)**3*(h + 1)/5
Let x(d) be the first derivative of d**4/8 + d**3/4 + d**2/8 - 4. Factor x(c).
c*(c + 1)*(2*c + 1)/4
Factor -1/3*n**4 + 1/3*n**3 + n**2 + 2/3 - 5/3*n.
-(n - 1)**3*(n + 2)/3
Solve -2/11*v**2 - 2/11*v + 0 = 0.
-1, 0
Let b(p) be the second derivative of p**5/90 + p**4/18 - 4*p**2/9 - 2*p. Factor b(h).
2*(h - 1)*(h + 2)**2/9
Let g be (-10)/(-4)*3/75. Let b(x) be the second derivative of 2*x + 0*x**2 + 0*x**3 + 1/21*x**7 - 2/15*x**6 + g*x**5 + 0 + 0*x**4. Factor b(u).
2*u**3*(u - 1)**2
Determine j, given that j**4 + 165*j**2 - 165*j**2 - 1 - 2*j**3 + 2*j = 0.
-1, 1
Let a(w) be the second derivative of w**7/210 - w**6/150 - w**5/20 + w**4/60 + 4*w**3/15 + 2*w**2/5 + 4*w. Factor a(i).
(i - 2)**2*(i + 1)**3/5
Let s = 13 + -25/2. Let t = s + 1/6. Let 4/3*n**2 - 4/3*n**4 + t*n**5 + 0*n**3 - 2/3*n + 0 = 0. Calculate n.
-1, 0, 1
Let u be (-5)/10 + (-2)/(-4). Let r(t) be the third derivative of 0 - 1/630*t**7 + u*t**3 + 0*t**4 + 0*t**5 + 0*t + 3*t**2 - 1/360*t**6. Solve r(p) = 0 for p.
-1, 0
Let h(t) be the first derivative of 10*t**4/3 - t**3 - 2*t**2 + 2*t - 2. Let n(o) be the first derivative of h(o). Factor n(w).
2*(4*w + 1)*(5*w - 2)
Factor -8/3*f - 2 - 2/3*f**2.
-2*(f + 1)*(f + 3)/3
Let v(x) = 3*x**2 + 3*x + 3. Let p(d) = d**2 - d + 1. Let s be 3*(20/(-6) + 3). Let u(q) = s*v(q) + p(q). Factor u(l).
-2*(l + 1)**2
Suppose -q - 7*q = -0*q. Suppose 3/5*f**5 + 0 + q*f - 3/5*f**4 - 3/5*f**3 + 3/5*f**2 = 0. What is f?
-1, 0, 1
Let w be 1/(-2) - 24/16. Let h be (-1)/w*(8 - 8). Factor h - 2/9*q**3 + 2/9*q**2 + 0*q.
-2*q**2*(q - 1)/9
Let k(h) be the third derivative of -h**6/240 - h**5/20 - 3*h**4/16 - 8*h**2. Factor k(n).
-n*(n + 3)**2/2
Factor j**2 - j + 1/3 - 1/3*j**3.
-(j - 1)**3/3
Let n(g) be the second derivative of g**6/45 - g**5/15 - g**4/6 + 4*g**3/9 + 4*g**2/3 - 5*g. Factor n(h).
2*(h - 2)**2*(h + 1)**2/3
Let k(p) = -5*p**2 + 5*p - 4. Let j(r) = -5*r**2 + 4*r - 5. Let a(c) = 2*j(c) - 3*k(c). Factor a(b).
(b - 1)*(5*b - 2)
Let b be -3*(-4)/(-420) - (-6)/14. Factor 6/5*l**2 + b*l + 0 + 2/5*l**4 + 6/5*l**3.
2*l*(l + 1)**3/5
Let y(l) be the first derivative of 0*l**3 + 0*l - 2 + 1/16*l**4 - 1/8*l**2. Factor y(d).
d*(d - 1)*(d + 1)/4
Let q be 2*(100/28 + -4) - -1. Suppose 0 - q*c**2 - 2/7*c**3 + 11/7*c**4 + 12/7*c**5 + 0*c = 0. Calculate c.
-1, -1/4, 0, 1/3
Let h = -7/10 + 83/90. What is l in 4/9*l - h*l**2 - 2/3*l**3 + 0 = 0?
-1, 0, 2/3
Let r(b) = -b**3 + b**2. Let x be r(1). Let n(v) be the third derivative of v**2 - 1/12*v**4 + 0 + 1/30*v**5 + x*v - 2/3*v**3. Factor n(o).
2*(o - 2)*(o + 1)
Let u(y) be the second derivative of 1/36*y**3 - 1/2*y**4 + 0 + 3*y + 1/6*y**2. Factor u(m).
-(4*m - 1)*(9*m + 2)/6
Let f be 1/5*2*10. Solve 4 + h**2 + h**2 + h + f*h + h = 0.
-2, -1
Suppose 0 = 6*x - x. Let o(p) be the second derivative of 1/54*p**4 - 1/90*p**5 + x + 2*p + 1/27*p**3 - 1/9*p**2. Solve o(k) = 0 for k.
-1, 1
Let -8/7*m + 18/7*m**4 + 24/7*m**3 - 4/7*m**2 + 2/7 = 0. Calculate m.
-1, 1/3
Let b(k) be the first derivative of k**5/35 + 5*k**4/28 + k**3/3 + 3*k**2/14 - 15. Factor b(m).
m*(m + 1)**2*(m + 3)/7
Let s(u) be the second derivative of -1/24*u**4 - 1/6*u**3 + 0 + 3/4*u**2 - 3*u. Suppose s(j) = 0. Calculate j.
-3, 1
Let c = -3 - -9. Let h be (-2)/16*(4 - c). Factor -h*v**2 + v - 1.
-(v - 2)**2/4
Determine v, given that 15*v**2 - 10 - 11*v - 54*v + 30 = 0.
1/3, 4
Let x(s) be the first derivative of -2*s**5/15 + s**4/18 + 2*s + 3. Let n(c) be the first derivative of x(c). Factor n(d).
-2*d**2*(4*d - 1)/3
Let w = 10 - 7. Solve -2/7*u - 2/7*u**w + 0 + 4/7*u**2 = 0 for u.
0, 1
Let k(a) = -a**3 - a**2 - a. Let s(l) = -l**2 - 9*l**2 - l**3 + 3*l**3 - 4*l**3. Let i(b) = -4*k(b) + s(b). Suppose i(j) = 0. Calculate j.
0, 1, 2
Let o be (-2)/(-4) - (-12)/8. Factor -i**2 + 2*i**2 + o*i**2 - 2*i**2 - i**3.
-i**2*(i - 1)
Let u(q) = q**2. Let j(a) = a**3 - 6*a**2 - 5*a**2 - 3 + 7*a + a**2. Let b(r) = j(r) + 5*u(r). Factor b(m).
(m - 3)*(m - 1)**2
Let s(k) be the third derivative of 0*k - 1/8*k**4 - 1/30*k**5 + 1/3*k**3 + 0 - 3*k**2. Factor s(p).
-(p + 2)*(2*p - 1)
Let -11*g**2 - 11*g**2 + 18*g**2 - 11*g + 3*g = 0. Calculate g.
-2, 0
Let k be (20/(-15))/((-2)/3). Find j such that -j**3 - 3 + 13*j**2 - 10*j**k + 3*j - 2*j**3 = 0.
-1, 1
Let 0 - 2/3*z - 1/3*z**3 + z**2 = 0. Calculate z.
0, 1, 2
Let c(w) = 2*w**2 - 6*w + 1. Suppose 3 + 0 = -3*z. Let h(s) = 4*s**3 + 2*s**2 + s. Let u be h(-1). Let n(k) = 1. Let q(d) = u*n(d) + z*c(d). Factor q(l).
-2*(l - 2)*(l - 1)
Find y, given that 1/3*y**2 + 3*y - 3*y**3 + 0 - 1/3*y**4 = 0.
-9, -1, 0, 1
Let w(t) be the third derivative of t**6/60 - t**5/15 - t**4/4 - t**2. What is h in w(h) = 0?
-1, 0, 3
Let m(q) be the third derivative of -q**7/525 - q**2. What is c in m(c) = 0?
0
What is a in -9/2*a**2 + 3*a**3 + 0 + 3/2*a = 0?
0, 1/2, 1
Let m(v) be the second derivative of -v**7/840 - v**6/160 - v**5/80 - v**4/96 - v**2 + 3*v. Let j(w) be the first derivative of m(w). Solve j(d) = 0 for d.
-1, 0
Suppose 2*q**3 + 6 - 6*q - 13 + 3 = 0. What is q?
-1, 2
Let x(p) = -13*p**2 + 6*p. Let y(j) = -7*j**2 + 3*j. Let s(z) = 4*x(z) - 7*y(z). Factor s(c).
-3*c*(c - 1)
Solve 0 - 1/7*g**4 - 1/7*g**2 + 0*g - 2/7*g**3 = 0.
-1, 0
Suppose 6 = -3*x - 2*u + 18, 5*u = 3*x - 12. Let g(j) be the first derivative of 0*j**2 - 1/21*j**6 + 1/14*j**x + 0*j + 0*j**3 + 0*j**5 - 1. Factor g(w).
-2*w**3*(w - 1)*(w + 1)/7
Suppose -3*y + 7*y + v = -4, 3*y - 16 = 4*v. Let a = 131 + -653/5. Solve 2/5 + y*b - a*b**2 = 0 for b.
-1, 1
Let c be 1 - -8 - (-8 - -11). Suppose 0 = -5*l - 20, -c*s + 2*s + 12 = -l. Factor 0*n**s + 5*n - 3*n - 2*n**2 + 4.
-2*(n - 2)*(n + 1)
Let y(c) = -3*c**2 - 17*c - 4. Let l(g) = g + 5. Let x be l(0). Let n(r) = -8*r**2 - 42*r - 10. Let p(s) = x*n(s) - 12*y(s). Factor p(t).
-2*(t + 1)*(2*t + 1)
Factor 15/2*k**3 + 5/2*k**4 - 5/2*k**2 - 15/2*k + 0.
5*k*(k - 1)*(k + 1)*(k + 3)/2
Let w be ((-6)/(-90)*3)/(6/40). Factor -w*j**3 - 8/3*j**2 + 0 + 0*j + 4/3*j**4.
4*j**2*(j - 2)*(j + 1)/3
Let f(z) = -z**5 + z**4 - z**3 + z**2 + z. Let y(d) = -4*d + 0*d + 0*d**3 - 4*d**5 - 4*d**2 + 6*d**3 - 4*d**4 + 6*d**5. Let v(q) = 4*f(q) + y(q). Factor v(i).
-2*i**3*(i - 1)*(i + 1)
Let m(x) be the first derivative of 4/21*x**3 - 1/7*x**2 + 0*x + 9 + 0*x**4 - 4/35*x**5 + 1/21*x**6. Find k, given that m(k) = 0.
-1, 0, 1
Suppose 8/9*g**2 + 2/9*g**3 + 4/9 + 10/9*g = 0. What is g?
-2, -1
Factor -16/5 - 4/5*r**2 + 16/5*r.
-4*(r - 2)**2/5
Find k, given that 0*k**4 + 2*k**2 + k**4 + 2*k**2 + 8*k**3 + 12*k**2 = 0.
-4, 0
Find n such that 0*n - 4/5*n**3 - 2/5*n**4 + 0 + 0*n**2 = 0.
-2, 0
Let q(d) be the first derivative of -1/6*d**4 + 0*d**3 + 0*d**2 - d - 1. Let y(f) be the first derivative of q(f). Suppose y(n) = 0. Calculate n.
0
Let y(t) be the first derivative of -t**5/25 + t**4/20 + t**3/15 - t**2/10 + 9. Factor y(r).
-r*(r - 1)**2*(r + 1)/5
Let s(k) be the second derivative of -k**4/30 - 2*k**3/15 - 13*k. Find g, given that s(g) = 0.
-2, 0
Let p(c) = -c**2 - 3*c + 6. Let s be p(-5). Let d be (-27)/(-15) - s/20. Factor -7 + 7 - r**d.
-r**2
Suppose -2*k + 8*k = 0. Let h(y) be the second derivative of -1/30*y**3 + k*y**2 + 1/100*y**5 + 0*y**4 + 0 + y. Factor h(w).
w*(w - 1)*(w + 1)/5
Factor 7/3*v**5 + 25*v**3 + 0*v + 0 - 44/3*v**4 - 6*v**2.
v**2*(v - 3)**2*(7*v - 2)/3
Let a(o) = 3*o**4 - 8*o**3 - 3*o**2 + 8*o - 2. Let s(l) = 9*l**4 - 25*l**3 - 9*l**2 + 25*l - 7. Let z(h) = 7*a(h) - 2*s(h). Factor z(u).
3*u*(u - 2)*(u - 1)*(u + 1)
Let g be 0*(3 + 52/(-16)). Fact